2. Factor s(w).
-3*w**2*(w - 1)/5
Let z(u) = -2*u**3 + 14*u**2 - 64*u + 58. Let m(h) = h**2 + 1. Let j(n) = 6*m(n) + z(n). Factor j(s).
-2*(s - 4)**2*(s - 2)
Solve 10*x**3 + 4*x - 7*x**3 - 16*x = 0.
-2, 0, 2
Let q(i) be the first derivative of -1/2*i**4 + 0*i - 1 + 2/3*i**3 + i**2 - 2/5*i**5. Factor q(u).
-2*u*(u - 1)*(u + 1)**2
Let b = -10 - -15. Factor -t**b + 19*t - 2*t**5 - 19*t.
-3*t**5
Suppose 0 = -4*k - 8, -t + 16 = t - 5*k. Factor -q + t + 5*q**2 + 8*q**2 - 3*q - 12*q**2.
(q - 3)*(q - 1)
Suppose -30*p + 37*p - 21 = 0. What is d in 0*d**p - 2/7*d**5 + 2/7*d + 4/7*d**2 - 4/7*d**4 + 0 = 0?
-1, 0, 1
What is i in 0 + 3/2*i**2 + 9/2*i = 0?
-3, 0
Let j(t) be the second derivative of -t**4/12 - 7*t**3/6 - 3*t**2/2 - 2*t. Let i be j(-6). Find o, given that 0*o**2 - 5*o - o**2 + i*o = 0.
-2, 0
Let i(f) = -2*f**2 + 2. Let b(p) = -p**2 + 1. Let z(t) = t**2 + 2. Let m be z(0). Let o(d) = m*i(d) - 3*b(d). What is a in o(a) = 0?
-1, 1
What is v in 3/2 + 9/2*v + 3*v**2 = 0?
-1, -1/2
Find b such that 4*b + 2*b**2 - 3*b - 8 + 5*b = 0.
-4, 1
Let q(o) be the first derivative of -o**7/105 + o**5/30 + 3*o**2/2 - 2. Let h(n) be the second derivative of q(n). Factor h(m).
-2*m**2*(m - 1)*(m + 1)
Let g(v) be the third derivative of -v**6/180 + v**5/60 + v**4/6 - v**3/2 + 4*v**2. Let p(r) be the first derivative of g(r). Factor p(j).
-2*(j - 2)*(j + 1)
Factor 6*z**2 + 38*z**4 + 2*z**2 - 34*z**4 + 20*z**3 + 4*z**2 - 4*z**5.
-4*z**2*(z - 3)*(z + 1)**2
Let q(m) be the second derivative of m**6/6 + m**5/2 + 8*m. Factor q(u).
5*u**3*(u + 2)
Let v(l) be the third derivative of l**11/831600 - l**9/151200 + l**5/30 + l**2. Let c(j) be the third derivative of v(j). Factor c(t).
2*t**3*(t - 1)*(t + 1)/5
Let i be (-4 - (-8)/(-4))/(-2). Find p, given that 0*p + 0 + 2/3*p**i + 0*p**2 = 0.
0
Let p(f) = -f**4 + f**3 + 1. Let s(b) = 5*b**3 - 5*b**2 + 5. Let y(i) = -5*p(i) + s(i). Factor y(k).
5*k**2*(k - 1)*(k + 1)
Let v(s) = -s**4 + s**3 + s**2 + s - 1. Let w(c) = 2*c**4 - 2*c**3 - c**2 - c + 1. Let n(t) = 4*v(t) + 4*w(t). What is o in n(o) = 0?
0, 1
Let y be (-2)/(1/(2/(-4))). Let p(o) = -o**2 - o. Let r(s) = -21*s**3 + 46*s**2 - 35*s + 6. Let u(w) = y*r(w) - 2*p(w). Factor u(n).
-3*(n - 1)**2*(7*n - 2)
Let u(g) = -g**3 + 2*g**2 + 4*g - 8. Let r(n) = -3*n**3 + 6*n**2 + 12*n - 24. Let i(c) = -6*r(c) + 17*u(c). Determine q so that i(q) = 0.
-2, 2
Let v be (1/2)/((-4)/(-32)). Factor -4*p**3 + 2*p**5 - 4*p**2 + v*p**2 + 2*p.
2*p*(p - 1)**2*(p + 1)**2
Let l = -13 + 17. Let b be 3/(-4) + 2/2. What is k in k**2 - b*k**5 + k**l - 3/2*k**3 + 0 - 1/4*k = 0?
0, 1
Let c(g) be the second derivative of 5*g**7/168 + g**6/8 + 9*g**5/40 - 7*g**4/12 - 4*g. Let l(t) be the third derivative of c(t). Factor l(z).
3*(5*z + 3)**2
Let g(q) be the first derivative of -q**4/12 + q**3/9 + q**2/3 + 6. Solve g(w) = 0.
-1, 0, 2
Let 9 + 4*y**4 - 4*y**3 + 4*y - 13*y**2 - 3*y**2 - 1 + 4*y**2 = 0. What is y?
-1, 1, 2
Let n = -257 + 259. Factor -4/7*a**n + 2/7*a**3 + 0*a + 0.
2*a**2*(a - 2)/7
What is r in 0*r - 1/2*r**2 + 1/2 = 0?
-1, 1
Let k(x) = -2*x + 14. Let n be k(7). Let t(b) be the second derivative of 0*b**4 + n - 1/6*b**3 - b + 1/60*b**6 + 1/20*b**5 - 1/4*b**2. Factor t(j).
(j - 1)*(j + 1)**3/2
Let h(f) be the third derivative of -f**6/90 + 13*f**5/45 - 35*f**4/18 - 98*f**3/9 - 19*f**2 - f. Let h(u) = 0. Calculate u.
-1, 7
Let s be 35/4 - 15/20. Let w be 6/4*s/18. What is t in -1/3*t**2 - 1/3 - w*t = 0?
-1
Let k be (-3)/18 - 93/(-18). Let m(z) = 10 - 5*z**2 - 2 + 3*z**2. Let f(h) = h**2 - 5. Let s(l) = k*m(l) + 8*f(l). Suppose s(g) = 0. What is g?
0
Let c(w) be the second derivative of -w**5/25 + 2*w**4/15 + 13*w. Determine d, given that c(d) = 0.
0, 2
Solve 20/3*h**3 + 152/3*h**2 - 128/3 + 256/3*h = 0 for h.
-4, 2/5
Let p = -116 - -119. Factor -3/5*t**p + 3/5*t + 3/5 - 3/5*t**2.
-3*(t - 1)*(t + 1)**2/5
Let x(h) be the third derivative of -h**7/280 + 7*h**6/360 - h**4/6 - h**3/3 - h**2. Let q(z) be the first derivative of x(z). Find b such that q(b) = 0.
-2/3, 1, 2
Suppose s - 18 = -5*f, 0 = -f + 3*s - 6 - 0. Suppose f*p - 6 = -0. Let -9/2*h**5 - 8*h**4 - 5/2*h**3 + 0 + h**p + 0*h = 0. Calculate h.
-1, 0, 2/9
Let n = 1553/2 + -35703/46. Let o = n - -6/115. Factor 2/5*d**5 + 4/5*d**2 - o - 4/5*d**3 - 2/5*d**4 + 2/5*d.
2*(d - 1)**3*(d + 1)**2/5
Let t = -46/33 - -30/11. Let b(m) be the first derivative of 5*m**2 - 16/3*m**3 - t*m - 8/3*m**4 - 2. Factor b(r).
-2*(r + 2)*(4*r - 1)**2/3
Let z(n) be the third derivative of 0 + 0*n - 3*n**2 + 9/80*n**5 - 81/160*n**6 + 1/4*n**3 + 13/32*n**4 - 27/56*n**7. Suppose z(b) = 0. Calculate b.
-1/3, 2/5
Let k(a) be the first derivative of a**8/504 + a**7/315 - a**6/180 - a**5/90 - 3*a**2 - 5. Let z(r) be the second derivative of k(r). Find y such that z(y) = 0.
-1, 0, 1
Let a(j) = 3*j**3 - 5*j**2 - 5*j. Suppose 0 = y + 1 + 4. Let c(v) = -v**3 + 2*v**2 + 2*v. Let g(r) = y*c(r) - 2*a(r). Factor g(n).
-n**3
Let s(q) be the first derivative of -q**3 + 0*q**2 + 3/5*q**5 + 3 + 0*q**4 + 0*q. Factor s(p).
3*p**2*(p - 1)*(p + 1)
Let x be -3 + 2 - (-4 + 1). Suppose h = u - 0 + 2, 5*u + x = h. Factor 0*g + 0 - 1/2*g**3 + 1/4*g**h + 1/4*g**4.
g**2*(g - 1)**2/4
Let q(z) = 48*z**4 - 60*z**3 - 36*z**2 + 69*z - 3. Let l(a) = -12*a**4 + 15*a**3 + 9*a**2 - 17*a + 1. Let t(f) = 9*l(f) + 2*q(f). Determine h so that t(h) = 0.
-1, 1/4, 1
Let r(w) be the third derivative of -w**7/210 + w**6/24 - 7*w**5/60 + w**4/8 + 19*w**2. Factor r(i).
-i*(i - 3)*(i - 1)**2
Let l be 3/(-4) + (-92)/(-16). Suppose -4*d + l = -3*o, -2*d = -d + 4*o - 25. Suppose 3*j**2 + 0*j**2 + j - d*j - j**2 = 0. What is j?
0, 2
Let -1/2*a**2 + 1/4*a + 1/4*a**3 + 0 = 0. Calculate a.
0, 1
Let a(f) be the first derivative of f**4/2 - 2*f**3/3 - 2*f**2 + 17. Factor a(t).
2*t*(t - 2)*(t + 1)
Let y(r) be the second derivative of -r**4/14 + 3*r**2/7 - 8*r. Factor y(j).
-6*(j - 1)*(j + 1)/7
Let h be ((-1)/(-2))/((-3)/36). Let d be (-111)/(-135) - h/(-10). Determine f so that 2/9*f**3 - d*f**2 + 0 - 4/9*f = 0.
-1, 0, 2
Let w(m) = m - 5. Let s be w(4). Let p(l) = -l**3 - 1. Let u be p(s). Determine r, given that 0*r**3 + 2/3*r**2 + u - 2/3*r**4 + 0*r = 0.
-1, 0, 1
Suppose -2*g + 0 - 7/4*g**3 - 1/4*g**4 - 7/2*g**2 = 0. What is g?
-4, -2, -1, 0
Factor 6*v**2 + 7*v**3 - 3*v**3 + 3*v**3 - 6 - 4*v**3 - 3*v.
3*(v - 1)*(v + 1)*(v + 2)
Let c(l) be the third derivative of l**8/336 - 2*l**7/105 + l**6/30 - 12*l**2. Factor c(a).
a**3*(a - 2)**2
Factor 2*a**5 + 8*a**2 - 8*a - 21*a**5 + 22*a**3 + a**5 - 12*a**4.
-2*a*(a + 1)**2*(3*a - 2)**2
Let w(o) be the second derivative of -o**7/4620 + o**6/1980 + o**3/3 + 3*o. Let j(x) be the second derivative of w(x). Factor j(f).
-2*f**2*(f - 1)/11
Let a(f) be the second derivative of f**4/4 + f**3/2 - 3*f**2 - 2*f. Let a(g) = 0. What is g?
-2, 1
Let -3*r**2 - 8 + 4*r**2 - 4*r**2 - 15*r - 4 = 0. Calculate r.
-4, -1
Suppose 4*t = -t + 10. Factor -4 + 48*u**4 + 12 - 12*u - 16*u**3 + 0 + 28*u**5 - 56*u**t.
4*(u - 1)*(u + 1)**3*(7*u - 2)
Let l(d) = d**2 - 10*d. Let u be l(10). Suppose 40*g + 6 = 43*g. Suppose u*w**g + 0 - 1/4*w + 1/4*w**3 = 0. Calculate w.
-1, 0, 1
Let g(v) be the second derivative of -v**7/42 + 3*v**5/10 - 2*v**4/3 + v**3/2 + 22*v. Find y, given that g(y) = 0.
-3, 0, 1
Let b be (-1)/2*(98 - 102). Factor 0 + n + 2*n**3 + 1/2*n**4 + 5/2*n**b.
n*(n + 1)**2*(n + 2)/2
Solve 19/5*y**3 - 4/5 - 8/5*y + 5*y**5 - 11*y**4 + 23/5*y**2 = 0.
-2/5, 1
Let s(f) be the first derivative of -f**8/3360 + f**6/720 + 5*f**3/3 + 4. Let c(x) be the third derivative of s(x). Find j, given that c(j) = 0.
-1, 0, 1
Let w(q) = -q**3 - 6*q**2 - 4*q + 7. Let h be w(-5). Let o be ((-4)/(-10))/((-7)/(-21)). Factor -4/5 + o*b - 2/5*b**h.
-2*(b - 2)*(b - 1)/5
Let n(a) = 3*a**4 + 13*a**3 - 35*a**2 - 77*a + 92. Let i(x) = -x**4 - x**3 - x + 1. Let f(j) = 2*i(j) - n(j). Find v, given that f(v) = 0.
-3, 1, 2
Let t(o) = o - 1. Let a(b) = -20*b**2 - 24*b + 20. Let d(j) = -a(j) - 12*t(j). Suppose d(x) = 0. Calculate x.
-1, 2/5
Let f(d) be the second derivative of d**5/40 - d**4/12 - d**3/3 + 2*d**2 - 7*d. Determine r, given that f(r) = 0.
-2, 2
Let i(r) be the third derivative of r**6/420 - r**4/21 + 14*r**2. Factor i(y).
2*y*(y - 2)*(y + 2)/7
Suppose 6*n - 6 = 4*n. Let 0*g**5 + 3*g**5 + 8*g**4 + 22*g**n + 18*g**2 + 7*g + 1 + 5