 3*u**4/4 + 31*u**2. Factor m(q).
3*q*(q - 6)
Let b(i) be the first derivative of i**4/4 + 7*i**3/3 + 15*i**2/2 + 9*i + 1. Factor b(w).
(w + 1)*(w + 3)**2
Let w(j) = j**2 + j - 3. Suppose -7*h + 12*h = -15. Let f be w(h). Solve 8*z**4 + 8*z**5 - 6*z**5 + 0*z**5 + 8*z**f = 0 for z.
-2, 0
Suppose r + 3*r - 17 = -5*b, -5*r + 3*b + 12 = 0. Let n(u) be the first derivative of -2 + 0*u**2 + 2/3*u - 2/9*u**r. Factor n(f).
-2*(f - 1)*(f + 1)/3
Let p be 3/10 - (9/(-6) + 1). What is c in 4/5*c + 13/5*c**2 - p + c**3 = 0?
-2, -1, 2/5
Let b(k) be the first derivative of -k**4/18 + 16*k**3/9 - 64*k**2/3 + 1024*k/9 - 24. Determine h, given that b(h) = 0.
8
Let a(q) be the first derivative of -2*q**6/15 - 8*q**5/25 + 3*q**4/5 + 16*q**3/15 - 8*q**2/5 - 17. Factor a(n).
-4*n*(n - 1)**2*(n + 2)**2/5
Factor 0 + s**2 - 1/2*s**3 - 1/2*s.
-s*(s - 1)**2/2
Let k be 8/20*5/24. Let m(f) be the third derivative of 1/112*f**8 - k*f**5 - f**2 + 1/42*f**7 - 1/12*f**4 + 0*f + 0*f**3 + 0 - 1/120*f**6. Factor m(u).
u*(u - 1)*(u + 1)**2*(3*u + 2)
Let o(a) be the second derivative of a**4/6 - 4*a**3 + 36*a**2 + 22*a. Factor o(v).
2*(v - 6)**2
Let l be 5 - -1 - 315/70. Factor l + 3*f + 3/2*f**2.
3*(f + 1)**2/2
Let b(o) be the first derivative of 5*o**6/24 - o**5/10 - 1. Find l such that b(l) = 0.
0, 2/5
Factor -3*q - 2*q + 0*q - 3*q**2 - q - 3.
-3*(q + 1)**2
Let -2/3 + 2*b**5 + 22/3*b**4 + 4*b**2 - 2/3*b + 28/3*b**3 = 0. What is b?
-1, 1/3
Let d(q) = q**4 - q**3 + q**2 - 1. Suppose 3 = x + 8. Let b(l) = -l**5 + 2*l**4 - 7*l**3 + 7*l**2 + 3*l - 4. Let k(c) = x*d(c) + b(c). Factor k(a).
-(a - 1)*(a + 1)**4
Suppose 2*w = w + 3. Let u(l) = 5*l**3 - 9*l**2 + 9*l + 1. Let v(h) = 11*h**3 - 19*h**2 + 19*h + 3. Let d(t) = w*v(t) - 7*u(t). Let d(i) = 0. Calculate i.
1
Let j be (-2120)/70 + (-2)/(-7). Let v be (-24)/j*(-5)/(-3). Factor -m**2 - v + 8/3*m.
-(m - 2)*(3*m - 2)/3
Find t, given that 2*t**3 - 3*t**5 - 4*t**3 - 5*t**2 + 3*t**2 - 5*t**3 - 8*t**4 = 0.
-1, -2/3, 0
Let c(y) = y - 2. Let k be c(-5). Let h(r) = r**2 + 7*r + 3. Let i be h(k). Factor 30*l**4 - 2 + 6*l**i - 27*l**4 + 3*l**2 + 2.
3*l**2*(l + 1)**2
Suppose -5*o - p = -5, -10 = -3*o + 8*o + 4*p. Let j(m) be the first derivative of 28/3*m**3 - 4*m**4 + 5*m**2 + o - 4*m. Factor j(h).
-2*(h - 2)*(2*h + 1)*(4*h - 1)
Let c = -45/7 - -97/14. Let p be ((-2)/(-8))/(1/2). Factor c*t**3 + 0 + 1/2*t**2 - 1/2*t - p*t**4.
-t*(t - 1)**2*(t + 1)/2
Let z(m) be the first derivative of m**5/15 - 5*m**4/12 + 7*m**3/9 - m**2/2 - 6. Factor z(k).
k*(k - 3)*(k - 1)**2/3
Let s(u) = -2*u + 1. Let i be s(4). Let h(c) = c**3 + 6*c**2 + 23*c + 18. Let n(z) = 3*z**2 + 12*z + 9. Let d(v) = i*n(v) + 3*h(v). Factor d(l).
3*(l - 3)*(l + 1)**2
Let s(l) be the second derivative of -l**6/1080 - l**5/180 - l**4/72 + l**3/2 - 3*l. Let y(w) be the second derivative of s(w). Find j, given that y(j) = 0.
-1
Let x(m) be the first derivative of -m**4/7 - 40*m**3/21 - 64*m**2/7 - 128*m/7 - 49. Find h, given that x(h) = 0.
-4, -2
Let w(r) = -2*r**3 - 17*r**2 + 6*r + 13. Let j(m) = -m**3 - 8*m**2 + 3*m + 6. Let d(p) = 13*j(p) - 6*w(p). Factor d(k).
-k*(k - 1)*(k + 3)
Let d(s) be the third derivative of -s**6/1260 - s**5/420 + s**4/42 - s**3/6 + 3*s**2. Let k(w) be the first derivative of d(w). Suppose k(o) = 0. What is o?
-2, 1
Suppose -o = -q + 3, -2*o = 5*q - 3*q + 14. Let f be 2*(-5)/q + -3. Suppose 1/2*i**f - 1/2 + 1/2*i**3 - 1/2*i = 0. Calculate i.
-1, 1
Suppose 0 = -r + 3. Suppose 8 = r*u + u. What is n in -4/3*n - 2/3*n**u - 2/3 = 0?
-1
Let h(x) be the first derivative of x**4/30 - 2*x**3/15 + x**2/5 - 7*x - 1. Let d(y) be the first derivative of h(y). Solve d(k) = 0 for k.
1
Let x(t) = -10*t**3 + 5*t**2 - 5*t. Let o(k) = 5*k**3 - 3*k**2 + 2*k. Let g(q) = 5*o(q) + 2*x(q). Factor g(d).
5*d**2*(d - 1)
Let v(q) = 7*q**3 - 2*q**2 - 2*q. Let a(p) = 8*p**3 - p**2 - 3*p. Let g(z) = 3*a(z) - 4*v(z). Factor g(d).
-d*(d - 1)*(4*d - 1)
Find x, given that -2*x - 8/9 - 4/9*x**2 = 0.
-4, -1/2
Let x(b) = 3 + 0*b**3 + 3*b**2 + b + 5*b**3 + 0*b**2. Let v(i) = 14*i**3 + 8*i**2 + 2*i + 8. Let p(d) = -3*v(d) + 8*x(d). Let p(q) = 0. Calculate q.
-1, 0, 1
Suppose 0 = -3*g + 3*o + 3, 2*g + 2*o = 16 + 2. Solve 6*q**4 - 6*q**3 - 2*q**g - 4*q**3 + 2*q**2 + 2*q**2 + 2*q**4 = 0 for q.
0, 1, 2
Let g = -5 - -7. Solve 3/2*v**4 + 0 - 4/3*v**g - 2/3*v + 1/2*v**3 = 0.
-2/3, 0, 1
Let l(v) be the first derivative of v**6/21 + 2*v**5/35 - v**4/7 - 4*v**3/21 + v**2/7 + 2*v/7 - 4. Factor l(w).
2*(w - 1)**2*(w + 1)**3/7
Let f = 227 - 225. Factor -8/5*z - 3/5 - z**f.
-(z + 1)*(5*z + 3)/5
Let c(d) be the third derivative of -1/6*d**3 + 0 - 6*d**2 + 1/8*d**4 + 0*d - 1/30*d**5. Solve c(j) = 0.
1/2, 1
Let h(u) be the second derivative of u**7/105 + u**6/60 - u**5/30 - u**4/12 + 3*u**2 - 3*u. Let n(x) be the first derivative of h(x). Factor n(s).
2*s*(s - 1)*(s + 1)**2
Let k be -1 + -1 + 4 + -2. Let r(z) be the first derivative of k*z**2 - 1 + 1/3*z**3 - z. Suppose r(g) = 0. What is g?
-1, 1
Let c be 9/5 - -1 - 2/1. Let s(v) be the first derivative of -14/15*v**3 - c*v + 1 + 9/5*v**2. Factor s(z).
-2*(z - 1)*(7*z - 2)/5
Let y(n) be the second derivative of n**5/60 - 7*n**4/36 + 5*n**3/6 - 3*n**2/2 + 4*n. Factor y(t).
(t - 3)**2*(t - 1)/3
Let 8/3*p**4 - 2/3*p**5 - 4/3*p**2 - 4/3 + 10/3*p - 8/3*p**3 = 0. Calculate p.
-1, 1, 2
Suppose -8*x - x**3 - 18*x**2 - 19*x**3 + 4*x = 0. Calculate x.
-1/2, -2/5, 0
Let t(k) be the second derivative of -3*k**5/80 + k**4/4 - k**3/2 - 5*k. Factor t(l).
-3*l*(l - 2)**2/4
Let w(d) be the second derivative of 9/80*d**5 - 1/24*d**6 + 1/168*d**7 - 3*d + 1/12*d**3 + 0 - 7/48*d**4 + 0*d**2. Factor w(g).
g*(g - 2)*(g - 1)**3/4
Suppose -2*m + s + 5 = m, 5*m - 2*s - 8 = 0. Find v, given that 24*v**2 + 10*v - 12*v**m - 6 + 11*v = 0.
-2, 1/4
Suppose -3*g - 1 + 13 = -2*v, -3*v - 13 = -2*g. Solve -8/5*r - 2/5*r**g - 6/5 = 0.
-3, -1
Let y = 9 + -9. Let s(t) be the third derivative of 0*t + y*t**4 - 1/75*t**5 + t**2 + 0*t**3 + 0 - 1/60*t**6 - 1/175*t**7. Factor s(p).
-2*p**2*(p + 1)*(3*p + 2)/5
Find c such that -32/11*c**3 + 4/11*c + 18/11*c**4 + 0 + 10/11*c**2 = 0.
-2/9, 0, 1
Let 3*s - 15*s**2 + 7*s**2 + 6*s**4 + 2*s**2 - 3*s**5 = 0. What is s?
-1, 0, 1
Let y be (-3)/15*-2*15. Let -3*c**3 - y*c**5 - c**4 + 3*c**5 - 8*c**4 + 3*c**4 = 0. Calculate c.
-1, 0
Let s(j) be the first derivative of 3*j**4 - 11*j**3 + 15*j**2/2 + 6*j - 22. Solve s(c) = 0.
-1/4, 1, 2
Suppose -2/3 + 8/3*o**3 + 6*o**2 + o = 0. Calculate o.
-2, -1/2, 1/4
Let h(b) be the first derivative of -2 + 1/8*b**2 + b - 1/24*b**3 - 1/48*b**4 + 1/80*b**5. Let u(i) be the first derivative of h(i). Solve u(g) = 0 for g.
-1, 1
Factor -8/3*h + 2/3 + 2/3*h**4 + 4*h**2 - 8/3*h**3.
2*(h - 1)**4/3
Let l(n) = -7*n**4 - 5*n**3 + 7*n**2 - n - 6. Let c(t) = 15*t**4 + 11*t**3 - 15*t**2 + 2*t + 13. Let w(a) = 6*c(a) + 13*l(a). Factor w(m).
-m*(m - 1)**2*(m + 1)
Let u(v) = v**2 + 12*v - 5. Let o be u(-12). Let r = 8 + o. Factor 0 + 3/5*a**2 - 3/5*a + 3/5*a**r - 3/5*a**4.
-3*a*(a - 1)**2*(a + 1)/5
Suppose -28*l + 24*l = 8. Let y be ((-1)/10)/(l/56). Find s such that 52/5*s**4 - 4/5 + 2/5*s - 68/5*s**3 + 32/5*s**2 - y*s**5 = 0.
-2/7, 1
Let s = 2 + 0. Find y such that 6*y**3 - 6*y**4 - y**5 + 0*y**5 - 3*y**5 - 2*y**s + 6*y**2 = 0.
-2, -1/2, 0, 1
Factor 15/2*u**2 - 2 + 5/2*u**3 - 9/2*u**5 - 15/2*u**4 + 0*u.
-(u + 1)**3*(3*u - 2)**2/2
Factor -8/9*m**3 + 4/3*m**2 - 8/9*m + 2/9*m**4 + 2/9.
2*(m - 1)**4/9
Let g(f) be the third derivative of -f**9/1512 + f**8/420 - f**6/90 + f**5/60 + f**3/6 + 5*f**2. Let v(n) be the first derivative of g(n). Solve v(u) = 0.
-1, 0, 1
Let j be 80/100*1/4. Let k(n) be the first derivative of 3 + 0*n**2 + 2/3*n**3 + j*n**5 + 3/4*n**4 + 0*n. Factor k(b).
b**2*(b + 1)*(b + 2)
Let z be (-14 + -2)/(-2) - 2. Suppose -3*x = 3*s + 6, 4*x = s + s + 16. Factor -z*c**3 - 3*c**x + 0*c + 3*c**2 + 2*c - 4*c**4.
-2*c*(c + 1)**2*(2*c - 1)
Let w(m) be the third derivative of -m**5/90 + m**4/36 - 18*m**2. Factor w(a).
-2*a*(a - 1)/3
Let h be -2 - -9 - (-3 - -8). Factor -2/7 + 4/7*x + 2/7*x**4 + 0*x**h - 4/7*x**3.
2*(x - 1)**3*(x + 1)/7
Let b(p) = 4*p**2 + 4*p + 16. Let u(r) = r**3 + 9*r**2 - 7*r + 14. Let g be u(-10). Let f(d) = 1. Let l(n) = g*f(n) + b(n). What is i in l(i) = 0?
-1, 0
Let q(z) be the first derivative of z**6/540 + z**5/6