p + 15. Factor y(w).
-4*(w - 4)*(w - 1)
Let g(d) = -6*d**4 - 2*d + 6 - 13*d**2 + 0*d + 12*d**3 + 3*d. Let h(a) = -a**4 + 2*a**3 - 2*a**2 + 1. Let v(f) = -6*g(f) + 39*h(f). Factor v(p).
-3*(p - 1)**3*(p + 1)
Let o(x) be the second derivative of 0 + 5/9*x**4 + 0*x**2 + 16/63*x**7 + 1/9*x**3 + 2*x + 11/10*x**5 + 8/9*x**6. Solve o(a) = 0 for a.
-1, -1/4, 0
Let y(f) be the second derivative of f**8/420 + f**7/630 - f**4/4 + f. Let a(z) be the third derivative of y(z). Suppose a(j) = 0. What is j?
-1/4, 0
Let m(d) be the second derivative of -1/15*d**3 + 0 + d + 1/10*d**4 - 3/50*d**5 + 1/75*d**6 + 0*d**2. Factor m(k).
2*k*(k - 1)**3/5
Let d = 65/462 + -1/22. Let z(g) be the first derivative of -4/7*g + d*g**3 - 1/7*g**2 - 1. Factor z(x).
2*(x - 2)*(x + 1)/7
Let j(k) be the third derivative of 0*k + 0 + 0*k**6 + k**2 + 1/336*k**8 + 0*k**5 + 0*k**3 - 1/210*k**7 + 0*k**4. Suppose j(u) = 0. Calculate u.
0, 1
Let q(w) be the third derivative of 245*w**8/48 + 266*w**7/3 + 11599*w**6/24 + 4099*w**5/6 + 2725*w**4/6 + 500*w**3/3 + 13*w**2. Factor q(b).
5*(b + 5)**2*(7*b + 2)**3
Suppose 0 = n + 4*o - 23, -o - 16 = -2*n - 3*o. Suppose -3*s = a - 2 - 1, -4*s + n*a = -17. Factor -2/9*h - 4/9*h**s - 2/9*h**3 + 0.
-2*h*(h + 1)**2/9
Let w(q) = -q**2 - 7*q - 4. Let u be w(-4). Let x be 3/(-2 - (-22)/u). Suppose 4*j**2 + 4*j**x - 5*j - j**2 + 3*j + 2*j**5 - 7*j**2 = 0. Calculate j.
-1, 0, 1
Let q(v) = -v**2 + 3*v. Let d(t) = 3*t**2 - 7*t. Let s(z) = -2*d(z) - 5*q(z). Solve s(m) = 0.
-1, 0
Let l(s) be the first derivative of -s**6/21 - 2*s**5/35 + s**4/7 + 4*s**3/21 - s**2/7 - 2*s/7 + 19. Factor l(k).
-2*(k - 1)**2*(k + 1)**3/7
Let n(x) be the first derivative of -x**3/9 + x**2/4 - 16. Factor n(g).
-g*(2*g - 3)/6
Let c be (2 - (-10)/(-6))*6. Let z(k) = 2*k**2 - 4*k + 3. Let l be z(c). Determine i, given that 1/2 - i**2 + 1/2*i + 1/2*i**5 - i**l + 1/2*i**4 = 0.
-1, 1
Let q(b) = b**4 - b**3 - b**2. Let w(y) = 32*y**4 + 4*y**3 + 12*y**2 + 20*y + 4. Let g(j) = 24*q(j) - w(j). Determine l, given that g(l) = 0.
-1, -1/2
Suppose 8*m**4 + 203*m**2 - 32*m**2 - 5*m**4 + 39*m**3 + 285*m + 150 = 0. What is m?
-5, -2, -1
Let s(h) be the first derivative of 2*h**3/75 + 8*h**2/25 + 32*h/25 + 19. Factor s(y).
2*(y + 4)**2/25
Let k(b) = -b**4 + b**3 - b. Let t(h) = 2*h**4 + h**3 - h - 1. Let m = -4 + 1. Let a(z) = m*k(z) - 3*t(z). Solve a(p) = 0.
-1, 1
Let g = -59/99 - -9/11. Suppose 2/9*t**4 + 0*t**3 + 0*t + g - 4/9*t**2 = 0. Calculate t.
-1, 1
Let h(o) be the third derivative of o**5/15 + 2*o**4/3 + 2*o**3 - 4*o**2. What is x in h(x) = 0?
-3, -1
Let p(b) be the second derivative of -b**4/84 + 4*b**3/21 - 8*b**2/7 - 23*b. Let p(g) = 0. Calculate g.
4
Let u(k) = -k**2 - 9*k - 6. Let l be u(-7). Let o = -5 + l. Find z such that -z**2 + o - 4 - z + 3 = 0.
-2, 1
Let o(r) be the second derivative of r**5/70 + 2*r**4/21 + 4*r**3/21 - 11*r. Factor o(t).
2*t*(t + 2)**2/7
Let f(r) = -r**4 - r**2 + r. Let t(z) = -12*z**4 - 19*z**3 - 13*z**2 + 9*z. Let k(j) = 15*f(j) - 3*t(j). Factor k(l).
3*l*(l + 1)*(l + 2)*(7*l - 2)
Let b(u) be the third derivative of 1/60*u**6 + 0 + 0*u**3 + 0*u + 0*u**4 + 3*u**2 - 1/30*u**5. Factor b(w).
2*w**2*(w - 1)
Factor 8/3 + 10/3*k + 2/3*k**2.
2*(k + 1)*(k + 4)/3
Suppose 2*o - 3*u - 22 = 0, 5*u + 1 + 19 = 0. Suppose 2 - 37 = -o*w. Factor a**2 + 3*a - 3*a**2 - w*a.
-2*a*(a + 2)
Let k(c) be the first derivative of -2/15*c**5 + 1/3*c**4 + 0*c**2 - 2/9*c**3 + 0*c + 1. Factor k(f).
-2*f**2*(f - 1)**2/3
Let t be (-3 + 44/12)*3. Suppose 0 = 2*u + t*u - 8. Factor -8/9*i - 56/9*i**u + 0 - 98/9*i**3.
-2*i*(7*i + 2)**2/9
Let k(w) be the third derivative of w**6/60 - w**4/12 + 4*w**2. Suppose k(l) = 0. What is l?
-1, 0, 1
Let t(x) be the third derivative of 5/36*x**4 + 0 - 4*x**2 + 0*x + 1/30*x**5 + 2/9*x**3. Determine j, given that t(j) = 0.
-1, -2/3
Suppose 2*f = 4*i + 8, -2*f + 3*f - 4 = -5*i. Factor -3*u**4 + 4*u**f + u**2 - 2*u**3 + 0*u**4.
u**2*(u - 1)**2
Let p(x) be the first derivative of -x**4/20 - x**3/15 + x**2/10 + x/5 + 3. Factor p(r).
-(r - 1)*(r + 1)**2/5
Solve 0*z**2 + 0*z + 0 - 1/4*z**4 + 1/4*z**3 = 0.
0, 1
Factor 0*v + 1/3*v**4 + 0 - 1/3*v**2 + 0*v**3.
v**2*(v - 1)*(v + 1)/3
Suppose -3*r + 0*r + 12 = 0. Let i(g) = g**2 - 2*g - 8. Let p be i(r). Factor 0*d + 2/11*d**2 + p.
2*d**2/11
Let r(y) be the second derivative of -y**7/378 + y**6/270 - 11*y. Factor r(d).
-d**4*(d - 1)/9
Let c = 4148/3465 - -2/693. Let -4/5 + 2/5*m**4 + c*m + 2/5*m**2 - 6/5*m**3 = 0. Calculate m.
-1, 1, 2
Let y(w) be the second derivative of 0*w**2 - 2/21*w**3 + 1/42*w**4 + 3*w + 0. Factor y(q).
2*q*(q - 2)/7
Let p(y) be the third derivative of -y**6/480 + y**5/240 + y**4/24 - y**3/6 + 23*y**2. Solve p(o) = 0.
-2, 1, 2
Let h(l) = -2*l - 4. Let v be h(-3). Suppose -5*b**2 + 3*b**2 + b**v - 2*b**2 = 0. Calculate b.
0
Let t(k) = 3*k. Let m be t(2). Solve -11*z**2 - 30*z**3 - 4 + 22*z**2 - 25*z**4 + m*z + 6*z = 0.
-1, 2/5
Suppose 2 + 2 = -4*k - 5*p, 5*k = -4*p + 4. Suppose 20 = z + k*z. Factor -z + j**2 - 3*j**2 - 2*j + 8*j.
-2*(j - 2)*(j - 1)
Let o(n) = -n**3 - n**2. Let y(q) be the second derivative of q**5/20 + q**4/12 + q. Let m = -5 - 0. Let p(k) = m*o(k) - 7*y(k). Find c, given that p(c) = 0.
-1, 0
Suppose -c**2 + 9*c - 4*c**2 - 12 + 9*c**2 - c**2 = 0. What is c?
-4, 1
Let v(a) be the first derivative of a**7/210 - 2*a**3 + 2. Let f(w) be the third derivative of v(w). Find m such that f(m) = 0.
0
Let u(a) be the first derivative of -6 - 9/2*a**2 - 27/2*a - 1/2*a**3. Solve u(i) = 0.
-3
Determine n so that 3/7*n**2 + 3/7*n**3 + 0 - 6/7*n = 0.
-2, 0, 1
Let h(l) be the first derivative of -2/15*l**3 + 0*l - 3 - 1/10*l**4 + 0*l**2 + 1/15*l**6 + 2/25*l**5. Let h(w) = 0. What is w?
-1, 0, 1
Let t(s) be the first derivative of -s**7/63 - s**6/45 + s**5/30 + s**4/18 + 4*s + 2. Let n(g) be the first derivative of t(g). Let n(z) = 0. Calculate z.
-1, 0, 1
Suppose -2*h**2 + 2 - 2*h**3 - 8*h - 8*h + 18*h = 0. Calculate h.
-1, 1
Let j(s) = -18*s + 18. Let o be j(1). Solve -1/4*i**3 + 0*i**2 + o + 1/4*i = 0.
-1, 0, 1
Let y(h) be the first derivative of 0*h + 1/3*h**3 - 1/4*h**4 + h**2 + 1/10*h**5 + 2 - 1/60*h**6. Let f(m) be the second derivative of y(m). Factor f(i).
-2*(i - 1)**3
Suppose 2 = 3*u - 7, 9 = -v + 5*u. Let g(w) be the second derivative of 0 + 9/40*w**5 - 7/60*w**v - 1/12*w**4 + w + 0*w**3 + 0*w**2. What is q in g(q) = 0?
0, 2/7, 1
Let x(t) be the first derivative of 0*t**3 + 0*t**2 + 0*t - 1 + 1/2*t**4 - 2/5*t**5. Factor x(r).
-2*r**3*(r - 1)
Let u(v) be the third derivative of 5*v**2 - 1/7*v**3 - 5/56*v**4 - 1/280*v**6 - 1/35*v**5 + 0*v + 0. Solve u(z) = 0 for z.
-2, -1
Suppose -5*d + 0*d + 90 = 0. Let i = 22 - d. Determine h, given that 2*h**2 - 11/5*h**i - 6/5*h + 0*h**3 + 1/5 + 6/5*h**5 = 0.
-1, 1/3, 1/2, 1
Let k(a) be the first derivative of -16*a**6/21 + a**4/14 - 45. What is l in k(l) = 0?
-1/4, 0, 1/4
Let 0 + 50/11*o - 20/11*o**2 + 2/11*o**3 = 0. Calculate o.
0, 5
Suppose -2*v - 3*x = -4 - 0, 2*v + x = 12. Let u be 2 - (0 + -1)*1. Factor -8*p**2 - 2*p**4 + p**5 + v*p**2 + p**u.
p**3*(p - 1)**2
Let j(n) = -3*n**2. Let k be j(-1). Let g be 1 - ((-27)/(-3))/k. Factor 2*c + 2*c**2 - 2 + 2 - g*c**2.
-2*c*(c - 1)
Let v be (-10)/(-4) - ((-12)/(-8))/(-3). Suppose 1/2*p + 1/2*p**5 - p**v + 0 + 0*p**4 + 0*p**2 = 0. What is p?
-1, 0, 1
Let s(l) be the third derivative of -l**6/1440 + l**3/6 + 3*l**2. Let c(i) be the first derivative of s(i). Factor c(j).
-j**2/4
Suppose -4*o + 20 = 2*a, -4*o = -a - 2*a - 10. Factor 0*g**2 + 0*g**2 - 3*g**a + g**4 + 2*g**4.
3*g**2*(g - 1)*(g + 1)
Suppose 5*t = 2*u - 6*u - 7, -4*t - 2 = 5*u. Find i such that 0 + 2/3*i**3 + 2/3*i**u + 0*i = 0.
-1, 0
Let g(t) be the third derivative of 0*t + 1/60*t**6 + 2/3*t**3 + 0*t**5 + 0 - 1/4*t**4 - 2*t**2. Factor g(f).
2*(f - 1)**2*(f + 2)
Let v(l) be the first derivative of 2*l**3/21 + 3*l**2/7 + 4*l/7 + 4. Determine u so that v(u) = 0.
-2, -1
Suppose 1/4*o**5 + 0*o**2 + 0*o**4 + 0 - 1/4*o**3 + 0*o = 0. What is o?
-1, 0, 1
Let s(w) be the third derivative of w**7/13860 + w**6/3960 + w**4/12 + 2*w**2. Let d(m) be the second derivative of s(m). Suppose d(z) = 0. Calculate z.
-1, 0
Let v(b) be the third derivative of b**5/660 - 2*b**3/33 - 31*b**2. Factor v(y).
(y - 2)*(y + 2)/11
Let a(d) be the second derivative of d**