iven that 2/7*w**4 - 10/7*w**3 + 4/7 + 18/7*w**2 - 2*w = 0.
1, 2
Let v(q) = -q**3 + 8*q**2 + 3. Suppose -7*o = -2*o - 40. Let p be v(o). Suppose -8/5*h**p + 2/5 - 8/5*h + 2/5*h**4 + 12/5*h**2 = 0. What is h?
1
Let q = 2 - 4. Let i = q + 4. Let 2*x - i*x**2 - 2*x**4 + 4 - 6*x**3 + 4*x + 0*x**2 = 0. Calculate x.
-2, -1, 1
Factor 3/4*y**3 - 3/4*y + 3/4 - 3/4*y**2.
3*(y - 1)**2*(y + 1)/4
Let u(a) be the third derivative of -a**8/1680 - a**7/1050 + a**6/600 + a**5/300 - 4*a**2. Factor u(r).
-r**2*(r - 1)*(r + 1)**2/5
Let z = -46 + 48. Factor 0 + 0*y + 1/2*y**z.
y**2/2
Let m(c) be the second derivative of -3*c**5/20 + c**4/4 + 4*c. Let m(l) = 0. What is l?
0, 1
Let d(l) = l**2 + l + 1. Let x(o) = 15*o - 9. Let n(y) = -3*d(y) + x(y). Factor n(m).
-3*(m - 2)**2
Let n(t) = -t**3 + t + 2. Let o be n(-2). Suppose -4*s + 2*j + o = 0, 4*j - 10 = -5*s - 0*j. Find m such that -2/7*m + 10/7*m**3 + 2*m**s - 6/7 = 0.
-1, 3/5
Let g(t) be the second derivative of -t**7/231 - 6*t. Factor g(l).
-2*l**5/11
Let u = 17 + -25. Let k = -4 - u. Factor -k*x**3 + 2 + 6*x**3 - x + 4*x**4 - 6*x**2 - x.
2*(x - 1)*(x + 1)**2*(2*x - 1)
Suppose 0 = 2*v + 3*v - 15. Let i be -1 + (2 - v/(-15)). Factor -6/5*u**4 + 0*u + 0 + i*u**3 + 2/5*u**5 - 2/5*u**2.
2*u**2*(u - 1)**3/5
Let x(r) = 4*r**2 + 2*r + 4. Let l(q) = 3*q**2 + 2*q + 3. Let i(p) = 3*l(p) - 2*x(p). Factor i(v).
(v + 1)**2
Let b(l) be the first derivative of 2 - 1/16*l**4 + 1/12*l**3 + 0*l + 0*l**2. Solve b(n) = 0.
0, 1
Let j = 0 + 5. Let q(r) be the third derivative of 0*r + r**2 + 1/120*r**6 + 1/72*r**4 - 1/60*r**j + 0*r**3 + 0 - 1/630*r**7. Determine c, given that q(c) = 0.
0, 1
Suppose -3*d + 2*f - 4 = -7*d, 4*d = 4*f + 4. Find w, given that w**2 + 2 + 3 - d - 4*w = 0.
2
Factor 0*a**2 + 0 + 4/7*a**3 - 4/7*a.
4*a*(a - 1)*(a + 1)/7
Factor 42*a**5 + 13*a**3 - 5*a**4 - 3*a**3 - 47*a**5.
-5*a**3*(a - 1)*(a + 2)
Determine h so that 68*h + 57*h**2 + 3*h**3 - 300 - 15*h + 0*h**3 + 187*h = 0.
-10, 1
Let i be -3 + (-155)/(-25) + 1 + -4. Factor 4/5*u**3 - i*u**4 - 1/5 + 4/5*u - 6/5*u**2.
-(u - 1)**4/5
Factor 2/15*u**3 + 2/15*u + 4/15*u**2 + 0.
2*u*(u + 1)**2/15
What is a in -1/9 - 13/9*a**4 - 7/9*a - 1/3*a**5 - 2*a**2 - 22/9*a**3 = 0?
-1, -1/3
Solve -3*y**3 + 10*y**2 + 12*y**5 + 6*y**3 - 4*y + y**3 - 22*y**4 = 0.
-2/3, 0, 1/2, 1
Let z be (-2)/(2*4/(-8)). Let r(q) be the third derivative of 0*q**3 + 0*q**4 + 2*q**z + 1/480*q**6 - 1/240*q**5 + 0*q + 0. Let r(b) = 0. What is b?
0, 1
Factor -18*w**2 - 3*w**3 - 4 - 8*w - 2 - 7*w + 6*w**2.
-3*(w + 1)**2*(w + 2)
Let y(z) be the second derivative of -z**7/1680 + z**5/240 - z**3/2 - z. Let j(r) be the second derivative of y(r). Factor j(x).
-x*(x - 1)*(x + 1)/2
Let i(r) be the second derivative of 5*r**7/42 + r**6/2 + r**5/2 - 5*r**4/6 - 5*r**3/2 - 5*r**2/2 - 6*r - 1. Factor i(q).
5*(q - 1)*(q + 1)**4
Let t(z) be the first derivative of 5*z**4/4 - 15*z**2/2 + 10*z - 29. Factor t(o).
5*(o - 1)**2*(o + 2)
Suppose 2*i = -5*j + 17, 4*j - 24 = 4*i + 12. Let g be 2 + (-269)/i + -1. Solve g*k**3 + 23/2*k**2 - 2 - 75*k**5 - 9*k + 25/4*k**4 = 0 for k.
-2/3, -2/5, -1/4, 2/5, 1
Let g(a) be the second derivative of 4/45*a**6 + 2/9*a**4 - 1/9*a**3 + 0 - 1/63*a**7 - 10*a + 0*a**2 - 1/5*a**5. What is p in g(p) = 0?
0, 1
Let n(f) be the second derivative of -4/3*f**4 - 2/15*f**6 - 3*f + 0*f**2 - f**3 + 0 - 7/10*f**5. Factor n(b).
-2*b*(b + 1)**2*(2*b + 3)
Let u(x) be the third derivative of x**8/2016 - 5*x**7/252 + 25*x**6/72 - 125*x**5/36 + 3125*x**4/144 - 3125*x**3/36 - 4*x**2. Factor u(i).
(i - 5)**5/6
Let s(m) = 30*m + 90. Let b be s(-3). Factor -f**4 + f**2 - 1/2*f + b*f**3 + 0 + 1/2*f**5.
f*(f - 1)**3*(f + 1)/2
Let x = -98 + 98. Let g(o) be the third derivative of 0*o**3 + 0*o**4 - 1/120*o**6 + x*o**5 + 0 + 0*o + 2*o**2. What is j in g(j) = 0?
0
Factor -1/2*m**4 + m + 0 + 2*m**3 - 5/2*m**2.
-m*(m - 2)*(m - 1)**2/2
Let w(s) be the first derivative of -2*s**5/5 + 3*s**4/2 - 2*s**3/3 - 3*s**2 + 4*s + 10. Find u, given that w(u) = 0.
-1, 1, 2
Let t(v) be the third derivative of v**6/24 + v**5/6 - 5*v**4/24 - 5*v**3/3 - 2*v**2. Factor t(i).
5*(i - 1)*(i + 1)*(i + 2)
Let y be 8/32*(-1)/(2 - 3). Factor -1/4*g**3 + 0*g - y*g**4 + 0 + 1/4*g**2 + 1/4*g**5.
g**2*(g - 1)**2*(g + 1)/4
Let d(u) be the third derivative of u**5/5 + u**4/9 + 15*u**2. Factor d(t).
4*t*(9*t + 2)/3
Factor 28 - 25*y - 26*y - 2*y**2 + 5*y**2 + 20.
3*(y - 16)*(y - 1)
Let w(i) be the second derivative of 5*i**7/84 + i**6/24 - 7*i**5/16 + 5*i**4/48 + 25*i**3/24 - 5*i**2/4 - 16*i. Find y such that w(y) = 0.
-2, -1, 1/2, 1
Let m(p) = -p**2 - p - 1. Let b(x) = -4*x**2 - 2*x - 3. Let g(w) = b(w) - 5*m(w). Factor g(i).
(i + 1)*(i + 2)
Let v(s) be the first derivative of s**5/30 + 2*s**4/3 + 16*s**3/3 + 3*s**2 + 2. Let x(t) be the second derivative of v(t). Factor x(u).
2*(u + 4)**2
Let i be 4/((-48)/(-14)) - 1. Let x(k) be the second derivative of k + i*k**4 - 1/30*k**6 + 0*k**3 + 0 - 1/2*k**2 + 0*k**5. Factor x(n).
-(n - 1)**2*(n + 1)**2
Let b(q) be the third derivative of q**5/330 + q**4/132 - 67*q**2. Factor b(k).
2*k*(k + 1)/11
Suppose -6*f = -4*f - 4. Solve 6*b**2 - 3*b - b**f - 4*b**2 + 0*b = 0 for b.
0, 3
Let s(i) = i**2 + 5*i + 3. Let q be s(-3). Let m be 7/2 - (0 - q). Let -m*y**2 - y - 1/2 = 0. Calculate y.
-1
Let z(x) be the first derivative of 0*x**2 + 1/9*x**3 + 0*x + 3. What is u in z(u) = 0?
0
Let m be (-12)/(-126)*2/4. Let h(d) be the third derivative of -m*d**3 - 1/210*d**5 + 0*d + 0 + d**2 - 1/42*d**4. Factor h(c).
-2*(c + 1)**2/7
Let b(d) be the second derivative of -d**6/165 + 2*d**5/55 - 2*d**4/33 - d. Factor b(c).
-2*c**2*(c - 2)**2/11
Let s = 7 - 7. Suppose t - 4 = -1. Factor s - 1/2*w**5 + 0*w**2 + 0*w**t - 1/2*w**4 + 0*w.
-w**4*(w + 1)/2
Let a(q) be the second derivative of 0 + 1/6*q**4 - q**3 - 4*q + 0*q**2. Let a(k) = 0. What is k?
0, 3
Let j(p) be the second derivative of 0*p**2 - 1/30*p**6 + 3/40*p**5 + 0 - 1/12*p**3 + 0*p**4 + 2*p. Factor j(u).
-u*(u - 1)**2*(2*u + 1)/2
Let r(v) be the third derivative of -81*v**6/100 - 9*v**5/10 + 8*v**4/5 - 4*v**3/5 + 35*v**2. Factor r(d).
-6*(d + 1)*(9*d - 2)**2/5
Suppose 0 = -8*z + 3*z. Find l such that z*l + 0*l**2 + 0 + 3/2*l**3 = 0.
0
Suppose 0 - 2/5*m**4 + 4/5*m**2 + 2/5*m**3 + 0*m = 0. Calculate m.
-1, 0, 2
Let z be 44/(-6)*(-63)/12. Let f = -35 + z. Solve 0*r**2 + 0*r + f*r**4 + 0 - 5/2*r**5 - r**3 = 0 for r.
0, 2/5, 1
Suppose -4 = -3*a + 2*n, -n - 3*n = -4*a. Let s(v) be the third derivative of -1/90*v**6 - 1/18*v**5 - 1/9*v**3 + 0*v + 0 + 2*v**2 - 1/9*v**a. Factor s(g).
-2*(g + 1)**2*(2*g + 1)/3
Let u = 65/306 - -1/102. Let n = -23/7 + 221/63. Factor 2/9*l - 2/9*l**3 - u + n*l**2.
-2*(l - 1)**2*(l + 1)/9
Let u(a) = -28*a**3 - a**2 + 19*a - 17. Let g(x) = -x - 7*x**3 + 3 + 6*x - 7. Let p be -1*(-2 - (0 - 11)). Let m(z) = p*g(z) + 2*u(z). Factor m(i).
(i - 1)*(i + 1)*(7*i - 2)
Let b(m) = -35*m**3 - 70*m**2 - 50*m. Let x(j) = -5*j**3 - 10*j**2 - 7*j. Let f(q) = -2*b(q) + 15*x(q). Factor f(l).
-5*l*(l + 1)**2
Let w(s) be the second derivative of s**7/525 + s**6/150 + 5*s**2/2 + 5*s. Let c(m) be the first derivative of w(m). Solve c(z) = 0.
-2, 0
Let y(o) be the first derivative of 2*o**3 - 2/3*o**6 + 0*o + o**2 + 3 + 1/2*o**4 - 6/5*o**5. Determine v, given that y(v) = 0.
-1, -1/2, 0, 1
Let i(u) be the second derivative of -u**6/120 - 3*u**5/80 - u**4/48 + u**3/8 + u**2/4 + u + 13. Find t, given that i(t) = 0.
-2, -1, 1
Let l(i) be the first derivative of 3*i**5/5 - 17*i**4/4 - 2*i**3 + 60. Factor l(x).
x**2*(x - 6)*(3*x + 1)
Suppose -2*h = 2*h - 12. Solve 6*l**3 + 3*l - 3*l - h*l**3 = 0 for l.
0
Let x(k) be the second derivative of k**4/3 - 4*k**3/3 - 6*k**2 + 3*k. Factor x(a).
4*(a - 3)*(a + 1)
Let j(y) = -3*y**3 - 8*y**2 + 9*y + 2. Let q(k) = k**2 + 4*k**3 + 3*k - 13*k - 3 + 7*k**2 + k**2. Let d(i) = 5*j(i) + 4*q(i). Suppose d(n) = 0. What is n?
1, 2
Let p(x) be the third derivative of -x**7/70 - x**6/20 - x**5/20 + x**2. Factor p(q).
-3*q**2*(q + 1)**2
Let a = 19/11 + -73/55. Let u = -2/287 + 5176/1435. Factor u + a*l**2 - 12/5*l.
2*(l - 3)**2/5
Let f(m) = -m**2 + 1. Let s(z) = -3*z**3 - 23*z**2 - 48*z - 34. Let v(b) = -2*f(b) + s(b). Solve v(y) = 0.
-3, -2
Suppose 1/3*o - 1/3*o**2 - 1/3*o**3 + 1/3 = 0. What is o?
-1, 1
Let q be ((0 - 1)/54)/(20/(-15)). Let x(u) be t