b**5 + 6*b**2 + 14*b**2 = 0.
-2, -1, 0, 2/3
Let l be ((-1)/2)/((-6)/24). Let -l*f + 2*f**3 + 1 - 4*f**4 + 6*f**4 + 0*f - 3*f**4 = 0. Calculate f.
-1, 1
Let j(h) = h**3 + 7*h**2 + 7*h + 8. Let s be j(-6). Let p(k) = -k + 4. Let c be p(s). Factor 1/5 + 1/5*m**c - 2/5*m.
(m - 1)**2/5
Let b(j) be the second derivative of -j**6/30 - j**5/5 - 5*j**4/12 - j**3/3 + 10*j. Find r such that b(r) = 0.
-2, -1, 0
Factor 1/2*m**4 + 0 + 1/4*m - 1/4*m**5 - 1/2*m**2 + 0*m**3.
-m*(m - 1)**3*(m + 1)/4
Let h(q) be the first derivative of 3*q**5/35 - q**3/7 - 16. Let h(g) = 0. What is g?
-1, 0, 1
Factor 2/5*d - 2/5*d**2 + 0.
-2*d*(d - 1)/5
Solve 2/11*v - 4/11*v**3 + 0*v**2 + 0*v**4 + 2/11*v**5 + 0 = 0 for v.
-1, 0, 1
Let s(h) be the first derivative of h**3/2 - 3*h**2/2 + 3*h/2 - 14. Solve s(z) = 0.
1
Let a(z) = -16*z**2 + 31*z - 26. Suppose 0 = w - 4 + 10. Let q(d) = -3*d**2 + 6*d - 5. Let u(n) = w*a(n) + 33*q(n). Find p, given that u(p) = 0.
1, 3
Let g(w) = 2*w**3 + 39*w**2 + 219*w + 432. Let f(h) = -12*h**3 - 233*h**2 - 1313*h - 2592. Let d(n) = -6*f(n) - 34*g(n). Solve d(x) = 0 for x.
-6
Let x = 560/3 + -186. Let g = 10 + -7. Factor 2/3 - c - x*c**2 + c**g.
(c - 1)*(c + 1)*(3*c - 2)/3
Factor -8*d - 5*d**2 - 4*d + d**2 + 16.
-4*(d - 1)*(d + 4)
Let o = -105 - -421/4. What is w in 3/4*w**2 + 3/4*w + o*w**3 + 1/4 = 0?
-1
Let q(y) be the second derivative of y**6/135 + y**5/36 + y**4/36 - 5*y**3/6 - 3*y. Let p(o) be the second derivative of q(o). Solve p(z) = 0 for z.
-1, -1/4
Let n be -7 + 2*7/2. Determine m, given that 0 + 2/5*m**4 + 2/5*m**2 + n*m + 4/5*m**3 = 0.
-1, 0
Factor 5*l - 2*l - 2 - 1 + 1 - l**3.
-(l - 1)**2*(l + 2)
Let y(s) be the first derivative of -1 - 32*s**4 - 12*s**2 - 2*s + 1 - 32*s**3 - 1. Factor y(q).
-2*(4*q + 1)**3
Let n = 8 + -6. Factor -v**3 - v + 0*v + v**4 + 1 + v**5 - 2*v**2 - v**3 + n*v.
(v - 1)**2*(v + 1)**3
Let b = -36 + 42. Let t(u) be the second derivative of -2/9*u**2 - 4/27*u**4 + 0 + 1/189*u**7 + u - 1/45*u**5 - 7/27*u**3 + 2/135*u**b. Factor t(p).
2*(p - 2)*(p + 1)**4/9
Let g be 1*3/9*-3 + 3. Find h, given that 0 - 2/7*h**g + 4/7*h = 0.
0, 2
Suppose 0 = -32*o + 34*o. Determine z so that 2/5*z**4 + 0*z - 9/5*z**5 + 0 + 0*z**3 + o*z**2 = 0.
0, 2/9
Suppose 3*x + 5*o + 12 - 257 = 0, 95 = x + 5*o. Determine c, given that 2*c**3 + x + 2*c**2 - 75 = 0.
-1, 0
Let u(i) be the third derivative of -i**5/120 + i**4/12 - i**3/4 - 15*i**2. Factor u(b).
-(b - 3)*(b - 1)/2
Suppose 0*b = 4*b - 36. Let c(j) be the third derivative of j**5/10 - 7*j**4/24 - 3*j**2. Let m(q) = 3*q**2 - 3*q. Let z(g) = b*m(g) - 4*c(g). Factor z(x).
x*(3*x + 1)
Let j(d) be the first derivative of -d**5/75 - 4*d**4/15 - 32*d**3/15 - 2*d**2 + 1. Let m(h) be the second derivative of j(h). Factor m(x).
-4*(x + 4)**2/5
Let o = -4 - 0. Let i be 6/(-18) + o/(-6). Factor -i - n**2 - 1/3*n**3 - n.
-(n + 1)**3/3
Let l be (10/3)/(4/12). Suppose 0*m - 2*m + l = 0. What is b in 9*b**4 + 0*b**4 + 7*b**m + 0*b**3 + 2*b**3 = 0?
-1, -2/7, 0
Factor -8/11 + 64/11*a - 14*a**2 + 98/11*a**3.
2*(a - 1)*(7*a - 2)**2/11
Let y(p) be the first derivative of p**6/50 + 3*p**5/50 + p**4/20 + 5*p + 4. Let t(l) be the first derivative of y(l). Find a such that t(a) = 0.
-1, 0
Let r(f) = -f**2 - 12*f - 4. Let y be r(-11). Let n(c) = c**2 - 6*c - 5. Let u be n(y). Solve 2*s**3 + 2/3*s**5 + 0*s + 2*s**4 + 2/3*s**u + 0 = 0.
-1, 0
Suppose 0 = -16*o + 4 + 60. Determine t, given that 32/9*t**3 - 14/9*t**o + 2/3*t**2 - 32/9*t + 8/9 = 0.
-1, 2/7, 1, 2
Let v(p) be the third derivative of p**6/12 - 11*p**5/30 + 7*p**4/12 - p**3/3 - 5*p**2. What is d in v(d) = 0?
1/5, 1
Let g(p) be the third derivative of p**5/60 + p**4/8 - 2*p**3/3 + 17*p**2. Let g(z) = 0. Calculate z.
-4, 1
Factor 3/7*j**4 + 0 + 3/7*j + 9/7*j**3 + 9/7*j**2.
3*j*(j + 1)**3/7
Let z(h) = -5*h**3 - h**2 - h + 7. Let n(o) = -o**3 + o**2 - o + 1. Let x(t) = -6*n(t) + 2*z(t). Let x(l) = 0. Calculate l.
-2, -1, 1
Let v(o) be the third derivative of 1/270*o**5 + 0 + 1/108*o**4 + 0*o - 1/540*o**6 - 1/27*o**3 + o**2. Factor v(m).
-2*(m - 1)**2*(m + 1)/9
Let f(d) = -d**3 - d. Let a(z) = -z**2 - 5*z - 4. Let q be a(-3). Let b(o) = 38*o**3 + 34*o**2 - 12*o - 4. Let t(w) = q*f(w) - b(w). Find g such that t(g) = 0.
-1, -1/4, 2/5
Let 4/7*v**3 + 2/7*v**2 + 0 + 2/7*v**4 + 0*v = 0. Calculate v.
-1, 0
Let d(g) be the third derivative of g**8/12 - 38*g**7/105 + 53*g**6/105 - 2*g**5/21 - 11*g**4/42 - 2*g**3/21 + 5*g**2 - 3. Factor d(a).
4*(a - 1)**3*(7*a + 1)**2/7
Let q = 520 + -520. What is u in -1/3*u**3 + 1/3*u**2 + q + 0*u = 0?
0, 1
Let i be (-2)/5 - (-2 + (-2)/5). Let r(a) be the second derivative of -3/10*a**5 - 9*a**3 + 9/4*a**4 + 4*a + 1/60*a**6 + 81/4*a**i + 0. Solve r(z) = 0.
3
Let v be (3 - 2)/(4/(-28)). Let x be v/(-4) - 3/2. Suppose x + 3/4*u + 3/4*u**2 + 1/4*u**3 = 0. Calculate u.
-1
Let m = -11 - -14. Let z be 1*m + (-50)/18. Factor z*x**2 - 2/9 + 2/9*x - 2/9*x**3.
-2*(x - 1)**2*(x + 1)/9
Let w = -1 - -3. Suppose l = 4*l - 6, 4*l = 2*o + w. Let 4 + 3*h**3 - 3*h**3 - 4*h**3 - 10*h + 8*h**2 + 2*h**o = 0. What is h?
1, 2
Suppose -4*d + 6 + 2 = 0. Suppose d*h + 7*h**2 + 2*h - h**2 = 0. Calculate h.
-2/3, 0
Let x(s) be the first derivative of -5/4*s**4 - 4*s**3 + 0*s - 2*s**2 + 1. Factor x(i).
-i*(i + 2)*(5*i + 2)
Let s(r) be the first derivative of 2*r**5/35 + r**4/14 - 4*r**3/21 + 39. Factor s(p).
2*p**2*(p - 1)*(p + 2)/7
Let y(c) be the third derivative of -c**9/90720 + c**8/15120 - 2*c**5/15 + 7*c**2. Let q(h) be the third derivative of y(h). Factor q(g).
-2*g**2*(g - 2)/3
Let w = 9/2 + -17/4. Let u be (3/14)/(6/7). Factor 0*z**4 + 0 + 0*z - w*z**3 + 0*z**2 + u*z**5.
z**3*(z - 1)*(z + 1)/4
Let x = 27 + -23. Let m(y) be the second derivative of 5/18*y**3 + x*y + 1/60*y**5 + 0 - 1/9*y**4 - 1/3*y**2. Let m(a) = 0. What is a?
1, 2
Let a(l) be the first derivative of -l**4/24 - l**3/6 + 2*l/3 + 38. Factor a(q).
-(q - 1)*(q + 2)**2/6
Suppose 3*n + 7 = -2. Let r = 0 - n. Factor 0*p**2 + 2/9*p**r + 0*p + 0 + 2/9*p**4.
2*p**3*(p + 1)/9
What is m in -5000/3 - 2000/3*m - 100*m**2 - 20/3*m**3 - 1/6*m**4 = 0?
-10
Let p be (4/(-6))/(1/(-3)). Suppose 6 = 3*c + r, -5*r + 10 = 5*c - r. Factor 3*o**3 + o - 2*o**3 + c*o**p - 4*o**2.
o*(o - 1)**2
Determine a so that 14/11*a**5 - 24/11*a**4 + 0*a + 0 + 4/11*a**2 + 6/11*a**3 = 0.
-2/7, 0, 1
Let s(d) be the third derivative of -1/12*d**5 + 0 + 0*d - 3*d**2 - 1/336*d**8 + 0*d**3 + 1/12*d**4 + 1/40*d**6 + 1/210*d**7. Factor s(y).
-y*(y - 1)**3*(y + 2)
Let g(x) be the first derivative of 2 + x - 2*x**2 + 7/6*x**4 - 5/3*x**3. Let j(s) be the first derivative of g(s). Solve j(o) = 0.
-2/7, 1
Factor 10*d - 11*d**2 - 57 + 72 + 6*d**2.
-5*(d - 3)*(d + 1)
Find h, given that -7/6*h**2 + 1/2*h**4 + 0*h + 1/6*h**3 + 2/3 - 1/6*h**5 = 0.
-1, 1, 2
Let h be 10/4 + 4/(-8). Let n = -18 + 18. Solve 2/7*i**3 - 2/7*i**h + 2/7*i**4 + 0*i - 2/7*i**5 + n = 0.
-1, 0, 1
Let q(g) be the first derivative of g**4/2 + 26*g**3 + 507*g**2 + 4394*g - 1. Factor q(b).
2*(b + 13)**3
Let t(p) be the third derivative of -9*p**8/112 + 7*p**6/10 + 9*p**5/10 - 3*p**4/8 - p**3 + 12*p**2. Find j, given that t(j) = 0.
-1, -1/3, 1/3, 2
Let x(h) = -10*h**4 + 5*h**3. Let a(c) = 19*c**4 - 9*c**3. Suppose 1 = -5*o + 16. Let j(l) = o*a(l) + 5*x(l). Factor j(t).
t**3*(7*t - 2)
Let i(z) be the second derivative of 0*z**3 + 0 - 3/5*z**5 + 0*z**2 - 4*z - 1/4*z**4. Factor i(u).
-3*u**2*(4*u + 1)
Let v(p) be the second derivative of 0*p**4 + 0*p**2 - 1/3*p**3 + 2*p + 1/10*p**5 + 0. Let v(w) = 0. Calculate w.
-1, 0, 1
Factor 32/9 - 50/9*f**3 + 160/9*f**2 + 152/9*f.
-2*(f - 4)*(5*f + 2)**2/9
Let q(t) be the third derivative of 3*t**2 + 0*t**3 + 0 + 0*t + 1/60*t**5 - 1/12*t**4. Let q(g) = 0. Calculate g.
0, 2
Let x(s) be the second derivative of 1/48*s**4 + 1/80*s**5 + 0*s**3 + 7*s + 0 + 0*s**2. Factor x(g).
g**2*(g + 1)/4
Let n(o) be the second derivative of 1/20*o**5 - 1/6*o**3 + 0*o**2 + 3*o + 0 + 1/12*o**4 - 1/30*o**6. Suppose n(t) = 0. Calculate t.
-1, 0, 1
Let f(l) = 13*l. Let g be f(-1). Let x = -13 - g. Factor 0*q - 2/5*q**4 + x*q**3 + 2/5*q**2 + 0.
-2*q**2*(q - 1)*(q + 1)/5
Let y be (-6*1)/(-3) - -4. Suppose y*x = x. Factor 2/3*h**2 + x*h**3 - 1/3 - 1/3*h**4 + 0*h.
-(h - 1)**2*(h + 1)**2/3
Let o(n) = -n + 7. Let w be o(5). Suppose -y - w*v = -12, -5*v - 4 = -5*y - 19.