2*a**2 + u*a**y + 3*a + 2*a**4 - a**5 - 2*a**3 - 1.
-(a - 1)**4*(a + 1)
Let w(z) be the second derivative of z**5/120 - 5*z**4/72 + 2*z**3/9 - z**2/3 + 12*z. Factor w(l).
(l - 2)**2*(l - 1)/6
Let n(v) be the third derivative of -1/180*v**6 + 1/1008*v**8 + 0 + 0*v**7 + 0*v**5 + 1/72*v**4 + 2*v**2 + 0*v**3 + 0*v. Factor n(p).
p*(p - 1)**2*(p + 1)**2/3
Suppose 0*u**3 + 6 + 25*u + 32*u**2 + u + 8*u**3 = 0. Calculate u.
-3, -1/2
Let c(o) be the second derivative of -1/12*o**3 - 3*o - 1/2*o**2 + 0 + 1/24*o**4. Find m, given that c(m) = 0.
-1, 2
Factor 3*c**5 + 15*c + 6*c**2 - 8*c - 9*c**3 - 7*c.
3*c**2*(c - 1)**2*(c + 2)
Let x(c) be the third derivative of c**5/15 - c**4 + 6*c**3 + 2*c**2 - 13*c. Let x(l) = 0. What is l?
3
Suppose -b + 5*r - 4 = -3*b, 0 = 3*b - 4*r - 6. Let -14/9*t**b + 32/9*t - 8/9 = 0. What is t?
2/7, 2
Let f(u) be the first derivative of 0*u + 1/5*u**2 - 4/15*u**3 + 1/10*u**4 - 3. Factor f(x).
2*x*(x - 1)**2/5
Factor -8/7*u + 1/7*u**2 + 16/7.
(u - 4)**2/7
Determine n so that -2/9*n**4 + 4/9*n**2 + 0*n + 0*n**3 - 2/9 = 0.
-1, 1
Suppose 0 - 2/5*h - 2/5*h**3 - 4/5*h**2 = 0. What is h?
-1, 0
Let v be -3*((-4)/(-6) - 2). Solve 4*z + 24*z**3 + 12*z**4 - 6*z**2 + 13*z**4 + 22*z**2 + 4*z**5 - 9*z**v = 0.
-1, 0
Let d(p) = -p**4 + p**3 + p**2. Let f(g) = -7*g**2 - 9*g**3 + 2*g - 3*g + 2*g + 1 + g + 6*g**4. Let b(a) = 21*d(a) + 3*f(a). Determine c, given that b(c) = 0.
-1, 1
Suppose -n - 2*b = -0*n + 2, 8 = 2*n - 2*b. Suppose n + 2/9*r**2 + 4/3*r = 0. Calculate r.
-3
Let c(b) be the third derivative of -b**7/1470 + 2*b**6/105 - 8*b**5/35 + 32*b**4/21 - 128*b**3/21 + 20*b**2. Solve c(r) = 0 for r.
4
Let i(z) be the third derivative of -1/240*z**5 + 0*z + 1/48*z**4 + 0*z**3 - 1/240*z**6 - 3*z**2 + 0 + 1/840*z**7. Factor i(f).
f*(f - 2)*(f - 1)*(f + 1)/4
Let t(a) be the first derivative of -a**3 + 3*a**2 - 3*a + 1. Solve t(u) = 0 for u.
1
Let g = -2/101 + 216/707. Factor 2/7*j**3 + 2/7 - 2/7*j - g*j**2.
2*(j - 1)**2*(j + 1)/7
Let g be 12/(-160) + (-7)/(-35). Let q(b) be the third derivative of 3/100*b**5 + g*b**4 + 1/5*b**3 - 2*b**2 - 1/350*b**7 - 1/200*b**6 + 0*b + 0. Factor q(r).
-3*(r - 2)*(r + 1)**3/5
Suppose -174 = -3*j - 42. Let b be (-3)/(-6) - 14/j. Let -2/11 - b*n**2 - 4/11*n = 0. Calculate n.
-1
Let b(k) be the second derivative of -k**8/2100 - k**7/525 + k**3/6 - 4*k. Let m(h) be the second derivative of b(h). Suppose m(f) = 0. Calculate f.
-2, 0
Let i(b) = 64*b**4 + 138*b**3 + 112*b**2 + 30*b + 4. Let x(n) = 128*n**4 + 277*n**3 + 224*n**2 + 61*n + 8. Let k(t) = -11*i(t) + 6*x(t). Solve k(f) = 0 for f.
-1, -1/2, -1/4
Let u(m) be the third derivative of -1/180*m**5 + 1/24*m**4 + 0*m - 1/9*m**3 - 6*m**2 + 0. Let u(k) = 0. What is k?
1, 2
Let l(f) be the first derivative of -2*f**3/3 + 2*f**2 + 27. Solve l(z) = 0.
0, 2
Let m(g) be the first derivative of -g**4/60 - g**3/15 - g**2/10 - g - 1. Let j(p) be the first derivative of m(p). Solve j(l) = 0 for l.
-1
Let n(m) be the second derivative of -m**2 + 1/180*m**5 + 1/18*m**3 - 1/36*m**4 + m + 0. Let y(c) be the first derivative of n(c). Find v such that y(v) = 0.
1
Let z = -23 + 163/7. Let g(r) be the first derivative of -2/21*r**3 - 3 + 2/7*r**2 - z*r. Factor g(v).
-2*(v - 1)**2/7
Let r(u) be the first derivative of 1/5*u**4 + 2/15*u**3 - 2/5*u**2 - 3/25*u**5 + 4 + 1/5*u. Find x, given that r(x) = 0.
-1, 1/3, 1
Let u(p) = 4*p**3 + 2*p**2 + 4*p - 13. Let n(m) = -3*m**3 - 2*m**2 - 4*m + 12. Let c(w) = 5*n(w) + 4*u(w). What is y in c(y) = 0?
-2, 2
Let x be 7 + -2 - (-45)/(-10). Factor -2*g - x*g**3 + 2*g**2 + 0.
-g*(g - 2)**2/2
Suppose -20*r + 31*r - 33 = 0. Suppose -1/4*a**r - 1/2*a + 3/4*a**2 + 0 = 0. Calculate a.
0, 1, 2
Let k(a) be the second derivative of 0 + 4*a + 1/36*a**4 + 0*a**3 + 0*a**2. Factor k(c).
c**2/3
Let y(p) = p**3 + p - 1. Let o(j) = 5*j**3 + 2*j**2 + 3*j - 3. Let q = 11 - 12. Let w(h) = q*o(h) + 3*y(h). Find r such that w(r) = 0.
-1, 0
Let t = -1/200 + 1003/600. Factor 1/3*j**3 + j - t*j**2 + 3.
(j - 3)**2*(j + 1)/3
Let r(v) be the second derivative of -v**5/30 - 4*v**4/9 - 16*v**3/9 + 21*v. Determine f, given that r(f) = 0.
-4, 0
Suppose 3*r = 3*l, -13 = r - 5*l - 5. Suppose 0 = 4*c + 3*u - 28 - 1, 0 = 4*u - 12. Factor 0*k + 0 - 2/7*k**r + 2/7*k**3 - 2/7*k**c + 2/7*k**4.
-2*k**2*(k - 1)**2*(k + 1)/7
Let r be 18/(-42) - (-662)/560. Let v = r - 1/280. Factor 0 + v*o + 1/4*o**2.
o*(o + 3)/4
Let p(w) be the first derivative of 5*w**4/4 - 5*w**3 - 5*w**2/2 + 15*w - 50. Factor p(h).
5*(h - 3)*(h - 1)*(h + 1)
Let v(f) be the second derivative of f**6/180 + 2*f**5/15 + 4*f**4/3 + 2*f**3/3 + f. Let c(m) be the second derivative of v(m). Factor c(b).
2*(b + 4)**2
Let k(u) be the second derivative of 3*u + 0*u**2 + 0 + 1/30*u**5 - 1/9*u**3 + 0*u**4. Factor k(j).
2*j*(j - 1)*(j + 1)/3
Suppose 10 + 1 = 3*c + z, -12 = 4*c - 4*z. Solve -32/11*m**c - 2/11 + 16/11*m = 0.
1/4
Let y(f) be the first derivative of -2 + 3/4*f**2 + 1/8*f**4 - 1/2*f**3 - 1/2*f. Find u such that y(u) = 0.
1
Let g(q) be the first derivative of -q**3/18 + q**2/6 + q/2 - 32. Find t, given that g(t) = 0.
-1, 3
Suppose -28 = -4*j - 4*u, -4*u + 6*u = 3*j - 16. Solve -4/3 - 6*a - j*a**2 = 0.
-2/3, -1/3
Suppose -4*a + 12 = 0, 5*a + 9 = -b + 8*a. Find u, given that b + 3/5*u - 6/5*u**2 = 0.
0, 1/2
Let l(k) = -k**2 - k. Let v be l(0). Let d(q) be the second derivative of v - 2*q - 1/48*q**4 + 0*q**3 + 0*q**2. Determine w, given that d(w) = 0.
0
Let k(c) be the second derivative of -c**7/105 - 7*c**6/150 - 7*c**5/100 - c**4/30 + 31*c. Suppose k(a) = 0. What is a?
-2, -1, -1/2, 0
Let r(u) be the third derivative of u**5/270 + u**4/108 - 2*u**3/27 - 10*u**2. Factor r(k).
2*(k - 1)*(k + 2)/9
Let a be 4 - 5 - 2570/8. Let f = 325 + a. Factor -1/2 - 3*j**2 + f*j.
-(3*j - 2)*(4*j - 1)/4
Let p = -8 - -13. Suppose -5*v + 3*s = -13, 4*v - p*s + 3*s - 10 = 0. Factor 6*w**4 + 3*w**3 - 2*w - 2*w**2 - w**3 - 4*w**v.
2*w*(w - 1)*(w + 1)*(3*w + 1)
Factor -55*p**3 + p + 2*p**4 + 58*p**3 - 5*p - p**4.
p*(p - 1)*(p + 2)**2
Let k be (-6)/(-1) + -2 + 3. Let m(l) = -74*l**2 - 18*l + 7. Let f(b) = -49*b**2 - 12*b + 5. Let g(y) = k*f(y) - 5*m(y). Suppose g(j) = 0. Calculate j.
-2/9, 0
Suppose 5*u - 4*z - 27 = 0, 0 = 5*u - 5*z - 43 + 13. Factor -q - u*q**2 + 0*q**2 + 0*q + 2*q**2.
-q*(q + 1)
Let u(m) be the second derivative of 3*m**6/40 + 3*m**5/40 - 5*m**4/12 + m**3/3 - 5*m. Factor u(l).
l*(l + 2)*(3*l - 2)**2/4
Let y(l) be the second derivative of -l**4/12 + l**3/3 + 3*l**2/2 + 8*l. Let y(n) = 0. What is n?
-1, 3
Factor 1/3*d**3 + d**2 + 2/3 - 5/3*d - 1/3*d**4.
-(d - 1)**3*(d + 2)/3
Suppose -5*i - 12 = -8*i. Let f = i - 4. Let f*z - 2/5 + 32/5*z**2 = 0. What is z?
-1/4, 1/4
Let s(x) = -x**3 + 2*x + 1. Let g be s(-1). Let r(v) be the second derivative of 0 + g*v**2 - 1/20*v**5 - 1/6*v**3 - 1/6*v**4 + 2*v. Factor r(p).
-p*(p + 1)**2
Let n(w) be the first derivative of w**3/3 - 4*w - 15. Factor n(f).
(f - 2)*(f + 2)
Factor i + 3*i - 10*i**2 + 6*i**2.
-4*i*(i - 1)
What is d in 1/4*d**4 + 1/4*d**5 + 0 - 1/4*d**2 + 1/2*d - 3/4*d**3 = 0?
-2, -1, 0, 1
Factor 2*h**2 - h**4 - 2*h**3 - 4*h**5 - h**4 + 6*h**5 + 0*h**2.
2*h**2*(h - 1)**2*(h + 1)
Let z = 31/2 + -16. Let c = 7/6 + z. Factor c*l**4 - 2/3*l**2 - 2/3*l**3 + 0 + 2/3*l.
2*l*(l - 1)**2*(l + 1)/3
Factor -32/7 - 8/7*o**3 - 144/7*o - 66/7*o**2.
-2*(o + 4)**2*(4*o + 1)/7
Suppose -8*p = -4*p - 40. Let v be 34/p - 8/20. Factor -2*c**3 - c**4 - c**2 + 0*c**v + 0*c**3.
-c**2*(c + 1)**2
Let y be (2/1)/((-5)/170). Let t be y/(-18) - (-14)/63. Let -5/2*g + 5/2*g**t + 1/2 - 1/2*g**5 - 5*g**3 + 5*g**2 = 0. What is g?
1
Factor -2*p - 8/3 + 2/3*p**2.
2*(p - 4)*(p + 1)/3
Let o be 11/(-132) + (-1)/(-3). Find w, given that 1/4 - 1/4*w + o*w**3 - 1/4*w**2 = 0.
-1, 1
Let j(x) be the third derivative of -x**5/12 - 5*x**4/8 + 11*x**2. Factor j(d).
-5*d*(d + 3)
Let v(q) be the first derivative of 2 + 1/2*q + 0*q**2 - 1/6*q**3. Factor v(n).
-(n - 1)*(n + 1)/2
Let u(s) be the third derivative of -s**9/120960 - s**8/3360 - s**7/210 - 2*s**6/45 + s**5/12 + 7*s**2. Let f(k) be the third derivative of u(k). Factor f(a).
-(a + 4)**3/2
Let q = -7 + 7. Suppose q = j - 4*j. Let -4/7*a**3 + 0 - 2/7*a**4 + j*a - 2/7*a**2 = 0. Calculate a.
-1, 0
Let r(c) = -20*c**4 + 144*c**3 - 136*c**2 - 120*c + 204. Let j(o) = 4*o**4 - 29*