105 + z**5/30 + z**4/42 + 6*z**2. Find c, given that k(c) = 0.
-1/4, 0, 2
Let k be 13 + (-4108)/340 - (-2)/(-17). Factor -k - 2/5*j**2 - 6/5*j.
-2*(j + 1)*(j + 2)/5
Factor 4*z**2 + 0 + 20/3*z**4 - 2/3*z - 8*z**3 - 2*z**5.
-2*z*(z - 1)**3*(3*z - 1)/3
Let f(d) = -2*d + 2. Let w be f(-5). Suppose 6*a - w = 2*a. Factor -7*k**3 + 2*k**4 + 2*k**3 + 7*k**a.
2*k**3*(k + 1)
Let s(d) = d**3 - 4*d**2 - 3*d - 6. Let b = 0 - -5. Let o be s(b). Factor 2*l**o - 4*l**4 - 5*l**2 + 7*l**2 - 2*l**3 + 2*l.
-2*l*(l - 1)*(l + 1)**2
Let o = -1975/3 + 659. Solve 2/3*m + 4/3*m**2 + o*m**3 + 0 = 0.
-1, 0
Let b(o) be the second derivative of o**6/75 - o**5/50 - 5*o. What is p in b(p) = 0?
0, 1
Let z(w) be the third derivative of -1/30*w**5 + 0*w + 1/168*w**8 + 0*w**4 + 0 - 1/35*w**7 + 0*w**3 + 6*w**2 + 1/20*w**6. Let z(v) = 0. What is v?
0, 1
Suppose -5*o - 16 = -o, h = 5*o + 79. Let x = h - 235/4. Factor 1/4*b + 1/2*b**2 - x*b**3 - 1/2.
-(b - 2)*(b - 1)*(b + 1)/4
Suppose 0 = 5*a + 2 - 27. Suppose -a*h = 3*f - 16, 4*h + 5*f = h + 16. Solve 5*t - 3*t - 2*t**3 + 2*t**2 - 4*t**2 + h*t**4 = 0.
-1, 0, 1
What is z in 0 + 15/2*z**2 + 25/2*z**3 - 5*z = 0?
-1, 0, 2/5
Let x(o) be the third derivative of 0*o - 1/30*o**4 + 0*o**3 - 5*o**2 + 1/150*o**5 + 0. Factor x(z).
2*z*(z - 2)/5
Let m(s) = 3*s**4 - 35*s**3 + 65*s**2 + 15*s - 88. Let c(y) = 8*y**4 - 105*y**3 + 195*y**2 + 45*y - 263. Let b(w) = 2*c(w) - 7*m(w). Factor b(q).
-5*(q - 3)**2*(q - 2)*(q + 1)
Let z(o) be the second derivative of o**6/15 + o**5/10 - o**4 - 4*o**3/3 + 8*o**2 - o - 7. Factor z(m).
2*(m - 2)*(m - 1)*(m + 2)**2
Let b(m) be the first derivative of m**2/2 - 5*m + 4. Let h be b(8). Factor 1/3*k + h*k**3 + 0 + 2/3*k**5 + 7/3*k**4 + 5/3*k**2.
k*(k + 1)**3*(2*k + 1)/3
Suppose -4*n - 13 = d, 3*d = -n - 0*n - 17. Let j be 16/(-6) + (d - -9). Let j*y - 4/3*y**3 - 2/3*y**2 + 2/3 = 0. What is y?
-1, -1/2, 1
Let i(v) be the first derivative of -2/5*v**5 - 3 + 0*v**2 - 1/4*v**4 - 1/6*v**6 + 0*v + 0*v**3. Factor i(p).
-p**3*(p + 1)**2
Let j(u) be the second derivative of u**5/20 - u**4/8 - u**3 - 5*u**2/2 - 5*u. Let c(q) be the first derivative of j(q). Factor c(w).
3*(w - 2)*(w + 1)
Suppose -2*x - 7 = -t, -x + t - 3 = -0*x. Let a = x + 8. Factor -3*s + a*s**3 + 0*s**5 - 2*s**5 + s.
-2*s*(s - 1)**2*(s + 1)**2
Let x = -19261/1340 - 7/268. Let u = -66/5 - x. Factor u*h**2 - 2/5*h - 6/5*h**3 + 0 + 2/5*h**4.
2*h*(h - 1)**3/5
Let l be (1/(-2))/(63/(-6)). Let w(b) be the second derivative of b + 0*b**2 - 1/42*b**4 + 0 + l*b**3. Solve w(c) = 0.
0, 1
Let m(j) = -7*j**2 + 9*j. Let x(c) = 21*c**2 - 27*c - 1. Let w(l) = -21*m(l) - 6*x(l). Find s such that w(s) = 0.
2/7, 1
Let c(x) = 13*x**2 + 2*x - 1. Let l be c(1). Let i be l/6 + (-2)/6. Factor 0*z**i - z - z**4 - z**2 - z**4 + 3*z**2 + z**5.
z*(z - 1)**3*(z + 1)
Factor -16*a - 4*a**4 - 3 + 2 - 25*a**2 + a**2 - 16*a**3 - 3.
-4*(a + 1)**4
Suppose 31 - a**2 - 27 - 3*a**2 = 0. What is a?
-1, 1
Let i = -9 - -25. Factor 8*s**2 - 2*s**5 - 16*s**4 + 8 - 2*s**5 - i*s**3 + 20*s + 0*s**4.
-4*(s - 1)*(s + 1)**3*(s + 2)
Let v(s) be the second derivative of 1/60*s**5 - 1/6*s**2 - 1/18*s**3 + 0 + 1/36*s**4 + s. Solve v(r) = 0.
-1, 1
Factor 3/2*v**3 - v**4 + 1/4*v + 1/4*v**5 + 0 - v**2.
v*(v - 1)**4/4
Let w(m) = -9*m**3 + 3*m**2 + 9*m - 9. Let j(b) = -26*b**3 + 9*b**2 + 26*b - 26. Let o(h) = 6*j(h) - 17*w(h). Factor o(r).
-3*(r - 1)**2*(r + 1)
Factor 3/7*r + 1/7*r**2 + 0.
r*(r + 3)/7
Let t(m) = -23*m**4 + 43*m**3 - 12*m**2 - 13*m. Let u(y) = 12*y**4 - 22*y**3 + 6*y**2 + 6*y. Let c(s) = 2*t(s) + 5*u(s). Suppose c(f) = 0. Calculate f.
-2/7, 0, 1
Let x(y) be the second derivative of -y**10/7560 - y**9/3780 + y**8/1680 + y**7/630 - y**4/6 + 2*y. Let b(k) be the third derivative of x(k). Factor b(g).
-4*g**2*(g - 1)*(g + 1)**2
What is t in 36/7*t**3 - 128/7 + 88/7*t**2 + 0*t + 4/7*t**4 = 0?
-4, -2, 1
Find o, given that 1/10*o**2 + 7/5*o + 49/10 = 0.
-7
Let h(u) be the second derivative of -1/2*u**2 - 1/30*u**6 + 0 + 2/3*u**3 - 1/2*u**4 + 1/5*u**5 + 3*u. Factor h(r).
-(r - 1)**4
What is o in 0 - 6/5*o**2 - 6*o**4 - 8/5*o**5 + 4/5*o - 32/5*o**3 = 0?
-2, -1, 0, 1/4
Factor 1 - 7/4*k**2 - 3*k.
-(k + 2)*(7*k - 2)/4
Let f(t) = 11*t**2 - 11. Let w(r) = 7*r**2 - 7. Let i(y) = 5*f(y) - 8*w(y). Let i(c) = 0. Calculate c.
-1, 1
Let y be 1*3 - 0 - (-1767)/(-651). Factor y - 4/7*m + 2/7*m**2.
2*(m - 1)**2/7
Let k(w) be the third derivative of -1/36*w**4 + 0*w + 0 + 1/18*w**3 + 1/180*w**5 - 2*w**2. Factor k(g).
(g - 1)**2/3
Let g(x) = -2*x**2 - 2*x - 1. Let u be g(-2). Let a be ((-4)/(-5))/((-2)/u). Factor b**2 + 2 - 1 - a*b + 0*b.
(b - 1)**2
Let c(d) be the second derivative of d**7/12600 - d**4/6 - 5*d. Let m(p) be the third derivative of c(p). Factor m(a).
a**2/5
Let y(h) be the second derivative of h**5/5 - 2*h**4/3 + 2*h**3/3 + 4*h. Solve y(v) = 0 for v.
0, 1
Let s(p) = -p**2 + 5*p - 4. Let w be s(3). Let u(r) be the second derivative of -1/10*r**4 + 2/5*r**w + 0 + 1/15*r**3 - 2*r. Factor u(v).
-2*(v - 1)*(3*v + 2)/5
Let n(b) = -b + 11. Let j be n(8). Factor 3*a + j*a**5 - 6*a**2 - 19*a**5 + 13*a**5 + 6*a**4.
-3*a*(a - 1)**3*(a + 1)
Let 0 - 6/13*m**3 + 10/13*m**4 + 2/13*m - 2/13*m**2 - 4/13*m**5 = 0. What is m?
-1/2, 0, 1
Let z(p) be the second derivative of p**4/48 - p**3/8 + p**2/4 + 24*p. Solve z(i) = 0 for i.
1, 2
Let g = 223/171 - 11/57. Factor g*v**3 + 0*v + 0 - 4/9*v**2.
2*v**2*(5*v - 2)/9
Let y(d) be the first derivative of -d**8/504 - d**7/105 - d**6/60 - d**5/90 - 9*d**2/2 + 9. Let v(a) be the second derivative of y(a). Factor v(s).
-2*s**2*(s + 1)**3/3
Let l(p) = -4*p - 42. Let y be l(-11). Factor 2 + 1/2*a**2 - y*a.
(a - 2)**2/2
Let i(t) = 0*t - 3*t + 5*t. Let c be i(2). Factor -2*k**3 - c*k**3 - 2*k**2 + 4*k**3.
-2*k**2*(k + 1)
Let m(h) be the third derivative of h**6/300 - h**5/30 + 2*h**4/15 - 4*h**3/15 + 3*h**2. Suppose m(w) = 0. What is w?
1, 2
Let j(u) = -u**3 - 8*u**2 + 2*u + 1. Let v be j(-8). Let i = 27 + v. Factor 122/7*p**2 - i*p**3 + 8/7 + 18/7*p**4 - 8*p.
2*(p - 2)**2*(3*p - 1)**2/7
Let m be (0 - (-1 - -2)) + 3. Let r**3 + m*r + r - 4*r = 0. Calculate r.
-1, 0, 1
Let -3/5*p**2 + 6 - 27/5*p = 0. Calculate p.
-10, 1
Let q = -23 - -25. Let -1 + q + o**2 + 2*o + 5*o**2 - 5*o**2 = 0. What is o?
-1
Let f(c) be the second derivative of c**4/60 + c**3/30 - 2*c. Factor f(i).
i*(i + 1)/5
Let y be (-1 + 8)*4/14. Let a(x) be the first derivative of -y + 1/7*x**2 + 0*x - 1/14*x**4 + 0*x**3. Factor a(d).
-2*d*(d - 1)*(d + 1)/7
Suppose -3*h = -h. Suppose 5*y = 2*i + 12 + 9, y - 5 = h. Factor 4*b - 2*b**3 - 2*b - 2*b**2 + 0*b**3 + i*b**4.
2*b*(b - 1)**2*(b + 1)
Let d(a) be the second derivative of a**6/180 - a**5/30 - a**3/6 - 3*a. Let x(r) be the second derivative of d(r). Factor x(g).
2*g*(g - 2)
Let h(i) be the third derivative of 1/12*i**4 + 4*i**2 + 1/210*i**7 - 1/60*i**6 + 0 + 0*i**5 + 0*i - 1/6*i**3. Factor h(g).
(g - 1)**3*(g + 1)
Let y(m) be the first derivative of m**7/189 - m**6/135 - m**5/90 + m**4/54 - 3*m - 3. Let u(p) be the first derivative of y(p). Suppose u(o) = 0. What is o?
-1, 0, 1
Let b(a) = 3*a**2 - 5*a. Let o(y) = -4*y**2 + 6*y + 1. Let d(q) = -6*b(q) - 4*o(q). Let n(r) = 5*r**2 - 17*r + 12. Let s(m) = 11*d(m) + 4*n(m). Factor s(g).
-2*(g - 1)*(g + 2)
Let v(j) be the third derivative of -j**7/420 - j**6/60 - j**5/30 + 7*j**2. Determine y so that v(y) = 0.
-2, 0
Let r(s) be the first derivative of -s**5/80 - s**4/48 + s**3/12 + 6*s - 4. Let o(q) be the first derivative of r(q). Let o(m) = 0. Calculate m.
-2, 0, 1
Suppose 3*j - 2744 = -440. Factor -j*b - 768 + 63*b**2 - 351*b**2 - 48*b**3 + 169*b**4 - 172*b**4.
-3*(b + 4)**4
Let v(m) = m**2 + 10*m - 11. Let w be v(-10). Let h(b) = -b**3 - 10*b**2 + 12*b + 11. Let a be h(w). Solve 3*x**2 - 4*x**2 + a*x**2 = 0 for x.
0
Suppose 15 = 3*y - 3*p, 0*y + p - 7 = -5*y. Find f such that f**y - 3*f**4 + 5*f**4 - 3*f**4 = 0.
-1, 0, 1
Let t(l) = 14*l**2 + 2*l + 1. Let w be t(-2). Factor w*z**2 - 3*z - 2 - 53*z**2 + z**3.
(z - 2)*(z + 1)**2
Suppose 0*o = -o - 3*m - 9, 0 = 4*o - m + 10. Let r be 1 + o - (-35)/14. Determine d so that -1 - 3/2*d - r*d**2 = 0.
-2, -1
Determine g so that -2/3*g**4 + 8/3*g**3 - 2/3 + 8/3*g - 4*g**2 = 0.
1
Let m(s) be the first derivative of s**4/4 - s**3/3 - s**2/2 + 3*s - 2. Let r be m(0). Factor -1 - 12*l**2 