 Factor j(r).
-(r - 2)**2*(r + 1)**2
Let p be 2/6 + ((-15)/(-36))/1. Suppose -1/4*l - 3/4*l**2 + 0 + p*l**4 + 1/4*l**3 = 0. Calculate l.
-1, -1/3, 0, 1
Let c(h) = 5*h**4 + 7*h**3. Let g(o) = -6*o**4 - 8*o**3. Let d(y) = 3*y - 2. Let b be d(2). Let x(m) = b*c(m) + 3*g(m). Find k, given that x(k) = 0.
-2, 0
Let q(x) be the third derivative of -x**8/840 + x**6/180 + 3*x**3/2 + 7*x**2. Let j(o) be the first derivative of q(o). Factor j(l).
-2*l**2*(l - 1)*(l + 1)
Let m(p) = 3*p**2 - 10*p - 13. Let u be m(5). Determine h, given that 1/3 + 4*h + u*h**2 = 0.
-1/6
Let x(w) be the second derivative of w**6/20 + 3*w**5/20 - w**3/2 - 3*w**2/4 - 13*w. What is g in x(g) = 0?
-1, 1
Suppose 17 = 5*i + 2. Let v be -1 - (2 + -6) - i. Factor -1/4*d**2 + v - 1/4*d.
-d*(d + 1)/4
Let f(o) = o**2 + 3*o - 2. Let n(c) = 1 + 0*c + c + 2 - 4. Let p(a) = -2*f(a) + 4*n(a). Let p(j) = 0. Calculate j.
-1, 0
Find v, given that 58/5*v**2 + 24/5*v**3 - 8/5 + 16/5*v = 0.
-2, -2/3, 1/4
Let b(m) = -13*m - 37. Let i be b(-3). Factor -1/4*v**i - 1 - v.
-(v + 2)**2/4
Let f(c) = c**3 - 3*c**2 + 2*c - 4. Let o be f(3). Suppose -o*k - 3*h + 17 = 0, -4*k - h = h - 22. Factor 1/2*x**5 + x**k + 0 + 0*x**2 + 0*x + 1/2*x**3.
x**3*(x + 1)**2/2
Let k = 511/6 - 85. Let x(o) be the second derivative of -3/10*o**5 + 2/3*o**3 + 0 - 3*o + 0*o**2 + k*o**4. Suppose x(r) = 0. What is r?
-2/3, 0, 1
Let i be 1*(0/(-2))/(-1). Let l = i + 4. Factor 55*f**3 + 1 + 198*f**2 + 56*f**3 + 23 + 132*f + 21*f**l.
3*(f + 1)*(f + 2)**2*(7*f + 2)
Let r(m) be the first derivative of 4 - 1/2*m**4 - 8/3*m**3 - 4*m**2 + 0*m. What is b in r(b) = 0?
-2, 0
Let z be 96/20*(-1)/3. Let x = 9/5 + z. Factor -4/5 + 4/5*n - x*n**2.
-(n - 2)**2/5
Let r = 12 + -12. Suppose -5*s - 4 + 19 = 0. Factor 2/5*p**s + r*p + 0 - 4/5*p**2.
2*p**2*(p - 2)/5
Let h be (2 - -1)*(-20)/(-210). Suppose -h*r**3 + 0*r + 0 - 4/7*r**2 = 0. What is r?
-2, 0
Suppose 3*u - 43 = 5*w, w + 3*w - 4 = 0. Suppose -c = 3*c - u. Determine y, given that -12*y**3 + 28*y**2 + 18*y**c - 4*y**5 + 2 + 0*y**3 - 12*y - 20*y**3 = 0.
1/2, 1
Let h = -1/948 + 53/316. Suppose 0 = 3*m - m + 4*y + 8, -3*m - 5*y = 9. Factor -1/3*z**3 + 1/6*z**4 + 1/3*z + 0*z**m - h.
(z - 1)**3*(z + 1)/6
Let i be (2/(-12) + 0)/(24/(-432)). Factor 0*y**2 + 3/5*y**i + 0 + 0*y.
3*y**3/5
Let h(o) be the first derivative of -3/100*o**5 - 1 + 1/10*o**3 + 0*o**4 - 2*o + 0*o**2. Let n(y) be the first derivative of h(y). Find b, given that n(b) = 0.
-1, 0, 1
Let c(g) be the first derivative of -9*g**5/25 - 3*g**4/20 + 26*g**3/15 + 14*g**2/5 + 8*g/5 - 18. Suppose c(i) = 0. Calculate i.
-1, -2/3, 2
Let y(o) be the first derivative of -2*o**3/3 - 4*o**2 - 7*o - 1. Let m(a) = a**2 + a - 1. Let h(b) = m(b) - y(b). Factor h(c).
3*(c + 1)*(c + 2)
Let w(a) be the first derivative of a**5/2 + 5*a**4/4 + 5*a**3/6 - 9. Factor w(n).
5*n**2*(n + 1)**2/2
Suppose 4*n - 7 = 1. Factor -1/2*q**n - q - 1/2.
-(q + 1)**2/2
Let t(j) be the third derivative of 0*j + 0*j**4 + 0*j**5 + 0 + 0*j**3 - 3*j**2 + 1/420*j**6. Suppose t(y) = 0. What is y?
0
Let k(t) be the first derivative of t**3 + t**2/2 - 3. Let c be k(-1). Factor c*b + 0*b**2 - 2/3*b**3 + 4/3.
-2*(b - 2)*(b + 1)**2/3
Let v = 2 + 0. Suppose 23 = v*z - 3*f, -7*z + 2*z = f - 15. Factor 2*w - w**2 + 0 + z - 3 - 2.
-(w - 1)**2
Let u be (-4 - -2)*((-9)/(-30))/(-3). Solve 0*h + u*h**3 + 1/5*h**2 + 0 = 0 for h.
-1, 0
Factor 13*q**5 + 14*q**5 + 2*q**3 - 29*q**5.
-2*q**3*(q - 1)*(q + 1)
Let t(p) = -99*p**4 + 330*p**3 - 495*p**2 + 276*p - 36. Let d(c) = -20*c**4 + 66*c**3 - 99*c**2 + 55*c - 7. Let b(n) = 24*d(n) - 5*t(n). Factor b(j).
3*(j - 2)*(j - 1)**2*(5*j - 2)
Suppose -6*q + 8 = -2*q. Factor 3/2*w - 1 - 1/2*w**q.
-(w - 2)*(w - 1)/2
Let w(r) be the first derivative of 36*r**5/5 + 12*r**4 - 20*r**3/3 - 24*r**2 - 16*r - 29. Determine u so that w(u) = 0.
-1, -2/3, 1
Let l(d) be the first derivative of -1/14*d**4 - 8/21*d**3 - 4/7*d**2 - 3 + 0*d. What is g in l(g) = 0?
-2, 0
Factor 0*n - 1/5 + 1/5*n**2.
(n - 1)*(n + 1)/5
Factor -k**3 - 4/3*k + 8/3 - 10/3*k**2.
-(k + 2)**2*(3*k - 2)/3
Let u(c) = c**3 - 8*c**2 - 7*c - 18. Let r be 1*2/4*18. Let g be u(r). Solve 0*v + 0*v**2 - 1/2*v**5 - 2*v**4 + g - 2*v**3 = 0.
-2, 0
Let n(z) = -z**4 - z**2 + z + 1. Let a(f) = -18*f**4 + 20*f**3 - 36*f**2 + 24*f + 10. Let y(w) = -a(w) + 12*n(w). Factor y(u).
2*(u - 1)**3*(3*u - 1)
Let j(g) = 2*g**2 - 22*g - 121. Let i(z) = 9*z**2 - 88*z - 484. Let m(k) = -6*i(k) + 26*j(k). Solve m(u) = 0 for u.
-11
Let o = 7 + -4. Factor 6*b**3 + o*b**3 - 8*b - 3*b**3 - 2*b**4.
-2*b*(b - 2)**2*(b + 1)
Let w be (12/42)/((-1)/(-14)). Let n(o) be the second derivative of 1/3*o**3 - o + 0 + 0*o**2 + 1/6*o**w. Factor n(h).
2*h*(h + 1)
Let y be (-1)/1 - (-5)/4. Suppose 8*v = 7 + 33. Factor -5/4*t**2 + 3/4*t**3 + 0 + 1/2*t - 1/4*t**v + y*t**4.
-t*(t - 1)**3*(t + 2)/4
Let d(f) be the first derivative of -3*f**5/25 + 3*f**4/10 - 57. Determine i, given that d(i) = 0.
0, 2
Let h(r) be the first derivative of -4*r + 0*r**2 + 1/36*r**4 + 0*r**3 - 4. Let j(k) be the first derivative of h(k). Factor j(q).
q**2/3
Suppose 7*q = 4*q - 18. Let a(t) = 5*t**4 + 2*t**3 + 7*t**2 + 4*t + 6. Let s(x) = 4*x**4 + 2*x**3 + 6*x**2 + 3*x + 5. Let b(r) = q*s(r) + 5*a(r). Factor b(m).
m*(m - 2)*(m - 1)*(m + 1)
Let r(t) be the second derivative of -t**6/30 + 3*t**5/20 - t**4/12 - t**3/2 + t**2 - 8*t. Let r(n) = 0. What is n?
-1, 1, 2
Let r = 97 + -193/2. Factor 1/2*f**3 + 0 + r*f + f**2.
f*(f + 1)**2/2
Factor 0*g**2 - 2*g**3 + 0 + 2/3*g**4 + 8/3*g.
2*g*(g - 2)**2*(g + 1)/3
Find o, given that -8/3*o**4 + 4/3 - 22/3*o + 2/3*o**3 + 8*o**2 = 0.
-2, 1/4, 1
Let o(x) be the first derivative of -x**6/72 + 7*x**5/180 - x**4/36 + x**2 + 3. Let t(d) be the second derivative of o(d). What is a in t(a) = 0?
0, 2/5, 1
Let k(p) be the third derivative of -p**2 - 1/48*p**4 + 0*p + 1/240*p**6 - 1/24*p**3 + 1/840*p**7 + 0*p**5 + 0. Solve k(j) = 0 for j.
-1, 1
Determine z, given that 2/5*z**3 + 4/5 - 2/5*z - 4/5*z**2 = 0.
-1, 1, 2
Let v(d) be the first derivative of -d**6/12 + 2*d**5/5 - d**4/2 - d**3/3 + 5*d**2/4 - d + 2. Determine h, given that v(h) = 0.
-1, 1, 2
Let n(p) be the second derivative of p**7/168 - p**6/40 + 3*p**5/80 - p**4/48 - p. Factor n(z).
z**2*(z - 1)**3/4
Solve -10*i**3 - i**4 - 6*i**2 - i**4 + 2*i**3 + 18*i - 2*i**3 = 0 for i.
-3, 0, 1
Let d be ((-30)/(-8) - 3) + (-30)/(-24). Let h(q) be the first derivative of 2*q**3 - 11/10*q**4 - 9/5*q**2 + 6/25*q**5 + 4/5*q - d. Solve h(x) = 0 for x.
2/3, 1
Let b = -249 + 252. Solve -1/4*r + 1/4 - 1/4*r**2 + 1/4*r**b = 0.
-1, 1
Let y(u) = -4*u**3 + 5*u**2 + 4*u - 2. Let d(s) = -11*s**3 + 14*s**2 + 11*s - 6. Let w(h) = 3*d(h) - 8*y(h). Factor w(n).
-(n - 2)*(n - 1)*(n + 1)
Factor 2/3*x**3 - 4/15 + 2/15*x + 16/15*x**2.
2*(x + 1)**2*(5*x - 2)/15
Let i(x) = 5*x**5 + 5*x**4 + 7*x**3 + 7*x**2 - 6*x. Let f(b) = -6*b**5 - 6*b**4 - 8*b**3 - 8*b**2 + 7*b. Let d(u) = -6*f(u) - 7*i(u). Let d(t) = 0. What is t?
-1, 0, 1
Find r such that 3/2*r + 0 - 3/2*r**5 + 3*r**2 + 0*r**3 - 3*r**4 = 0.
-1, 0, 1
Let f(y) be the first derivative of 0*y**3 + 1/90*y**5 + 0*y**4 - 1/2*y**2 + 1 + 0*y. Let g(t) be the second derivative of f(t). Factor g(u).
2*u**2/3
Let k(i) be the second derivative of i**6/40 + i**5/20 - i**4/8 - i**3/2 - i**2/2 - i. Let d(b) be the first derivative of k(b). Find h, given that d(h) = 0.
-1, 1
Let 3/2*d + 0 - 3*d**2 + 3/2*d**3 = 0. Calculate d.
0, 1
Let b = 5 + -1. Suppose -n + 2*n**2 - b + n + 2 = 0. Calculate n.
-1, 1
Suppose 3*b - 4*b = 0. Suppose 5*q - 10 = -b. Factor 1/4*z - 1/4*z**3 + 1/4 - 1/4*z**q.
-(z - 1)*(z + 1)**2/4
Let n(d) be the first derivative of -1 - 10/9*d**3 + 2/3*d**2 + 0*d. What is v in n(v) = 0?
0, 2/5
Let o(p) be the second derivative of -p**4/90 + 4*p**2/15 - 5*p. Solve o(u) = 0.
-2, 2
Let i(c) = c**2 - c - 1. Let f(p) = 2*p**2 - 17*p + 23. Let b(n) = -f(n) - 3*i(n). Solve b(r) = 0.
2
Let r be 156/42 + (-2)/(-7). Factor -k + 7*k**3 + 10*k**2 + 5*k + k**3 + k**r + k**4.
2*k*(k + 1)**2*(k + 2)
Factor 3*r**4 + 5/2*r**3 + 0 - 1/2*r**2 + 0*r.
r**2*(r + 1)*(6*r - 1)/2
Let o(b) = 2*b - 2. Let s be o(4). Determine h, given that -16*h + 4 + s + 14*h**2 - 16*h - 2 = 0.
2/7, 2
Let o(y) = y + 9. Let u be o(-7). Let 3/5*m + 0 + 3/5*m**u = 0. What is m?
-1, 0
Factor -2*j**3 - 4/3*j**4 - 1