h**2. Factor t(w).
(w - 1)**2*(w + 1)**2/2
Let j(r) be the second derivative of 1/27*r**4 + 3*r + 0*r**3 + 0*r**2 + 0 - 1/18*r**5. Let j(w) = 0. Calculate w.
0, 2/5
Factor -2*z**3 - 6*z + 0*z**3 + 8*z**2 - 2*z**3 + 2*z**3.
-2*z*(z - 3)*(z - 1)
Suppose -3*t + 8 = 2. Factor n**3 + 0*n**5 - n**5 + 3*n**2 - n**4 - 2*n**t.
-n**2*(n - 1)*(n + 1)**2
Let n be 7*1/3 - 0. Let t = -11/6 + n. Find a, given that 0 - 1/2*a**2 + 0*a - t*a**3 = 0.
-1, 0
Let t(y) be the second derivative of 5*y**7/42 - 5*y**6/6 + 7*y**5/4 - 5*y**4/4 - 6*y. Find i, given that t(i) = 0.
0, 1, 3
Let v(h) be the second derivative of -2*h - 1/6*h**4 - 2/3*h**2 + 0 + 7/9*h**3. Factor v(m).
-2*(m - 2)*(3*m - 1)/3
Find h, given that 16 + 24*h - 2*h**5 - 4*h**2 - 22*h**3 - 643*h**4 + 0 + 631*h**4 = 0.
-2, -1, 1
Let a(v) be the second derivative of -v + 0 + 2/45*v**6 + 0*v**5 - 1/9*v**4 + 0*v**2 - 1/9*v**3 + 1/63*v**7. Find l, given that a(l) = 0.
-1, 0, 1
Let p(z) be the third derivative of z**6/360 - z**5/60 + z**4/36 - 7*z**2. Factor p(d).
d*(d - 2)*(d - 1)/3
Let h(f) be the first derivative of -f**4/40 + 2*f**3/15 - 3*f**2/20 - 4. What is v in h(v) = 0?
0, 1, 3
Let i(u) be the first derivative of -u**4/30 + 2*u**3/5 - 9*u**2/5 - 5*u - 3. Let k(s) be the first derivative of i(s). Find g, given that k(g) = 0.
3
Suppose 0 = 2*m + 4*i - 26, -m + 4*m + i = 34. Let u = m - 7. Factor 1/5*w**2 - 1/5*w**u + 0 - 1/5*w**3 + 0*w + 1/5*w**5.
w**2*(w - 1)**2*(w + 1)/5
Let i(t) be the second derivative of -1/15*t**3 + 0 + 2*t + 0*t**2 + 4/75*t**6 + 2/15*t**4 - 1/105*t**7 - 3/25*t**5. Factor i(m).
-2*m*(m - 1)**4/5
Let o be (-58)/(-4) + (-4)/(-8). Let s = 15 - o. Find t such that -4/3*t**2 + 2/3*t - 2/3*t**5 + 0*t**3 + s + 4/3*t**4 = 0.
-1, 0, 1
Let a(p) be the second derivative of -p**6/480 + p**5/120 + p**2 - p. Let q(z) be the first derivative of a(z). Factor q(g).
-g**2*(g - 2)/4
Let v be (6/4)/(1/2). Factor 4 - 4*r**2 - v*r**3 - 1 + r + r**2 + 2*r.
-3*(r - 1)*(r + 1)**2
Let b(k) be the third derivative of k**6/200 + k**5/15 + 13*k**4/40 + 3*k**3/5 - 55*k**2. Determine w, given that b(w) = 0.
-3, -2/3
Let i be (2/(-3))/(-11 + -9). Let f(g) be the second derivative of -1/210*g**7 + 0*g**2 + 0*g**5 + 0 + 1/75*g**6 + 1/30*g**3 - i*g**4 - 4*g. Solve f(r) = 0.
-1, 0, 1
Let x be (-23046)/189 + 2/(-7). Let i = -122 - x. Factor i*u**3 + 2/9*u + 0 - 4/9*u**2.
2*u*(u - 1)**2/9
Let l(f) be the second derivative of f**8/1680 - f**7/840 - f**6/360 + f**5/120 - f**3/3 - 4*f. Let r(g) be the second derivative of l(g). Factor r(c).
c*(c - 1)**2*(c + 1)
Determine n so that -13/4*n**2 + 1/2 - n**5 + 5/4*n + 11/4*n**4 - 1/4*n**3 = 0.
-1, -1/4, 1, 2
Let a(b) be the third derivative of b**7/70 - b**5/20 + 8*b**2. Find h such that a(h) = 0.
-1, 0, 1
Let u(j) = -j**3 - 7*j**2 - 11*j - 9. Let m be u(-7). Let x = m + -474/7. Determine i, given that 6/7*i**4 + 2/7*i**2 - x*i**5 - 6/7*i**3 + 0 + 0*i = 0.
0, 1
Suppose -3*f - 5 = -4*a, 0*f + 2 = 4*a - 2*f. Let s be ((-4)/(-16))/(a/(-2)). Solve s*d + 1/2*d**2 - 1/2*d**3 - 1/2 = 0 for d.
-1, 1
Let y(m) = -8*m - 2. Let b = 0 + 2. Let i(u) = -u**2 - 3*u - 1. Let k(s) = 3*s**2 + 7*s + 3. Let j(d) = -5*i(d) - 2*k(d). Let l(x) = b*j(x) + y(x). Factor l(o).
-2*(o + 1)*(o + 2)
Suppose 0*r = 2*r. Factor 4*j**2 + 2*j**2 + 6*j + 2 + 0*j**3 + r*j**3 + 2*j**3.
2*(j + 1)**3
Let u(a) be the first derivative of a**4/2 - 8*a**3 + 45*a**2 - 100*a - 54. Factor u(p).
2*(p - 5)**2*(p - 2)
Let m(z) be the first derivative of z**6/80 + z**5/24 - z**4/12 - z**3/3 - 3*z**2/2 - 5. Let c(r) be the second derivative of m(r). Factor c(i).
(i - 1)*(i + 2)*(3*i + 2)/2
Let w(g) be the second derivative of -5*g**7/42 + g**6/3 + 3*g**5/4 - 5*g**4/3 - 10*g**3/3 + 13*g. Suppose w(p) = 0. Calculate p.
-1, 0, 2
Let g = 19 + -19. Let w(q) be the third derivative of 0*q + 0*q**4 - q**2 + 0*q**5 + 0 - 1/210*q**7 + g*q**6 + 0*q**3. Determine t so that w(t) = 0.
0
Suppose 28 = 5*c - 17. Let u(p) = p**3 - 7*p**2 - 18*p. Let j be u(c). Solve 2/9*y**4 + 2/9*y**3 + 0*y + 0*y**2 + j = 0 for y.
-1, 0
Let w = -256 - -258. Solve 3/2*k**w + 9/2*k + 3 = 0.
-2, -1
Let c(s) be the third derivative of s**7/1050 + s**6/120 - 7*s**5/300 - s**4/24 + s**3/5 - 56*s**2 + 1. Suppose c(d) = 0. What is d?
-6, -1, 1
Let h be (-6)/4*(-8)/6. Factor 2*l**2 - 2*l**2 - 2*l - l**h + l**3.
l*(l - 2)*(l + 1)
Let t(g) = -6*g**2 - 4*g + 4. Let q(f) be the second derivative of f**4/12 + 6*f. Let d(n) = -14*q(n) - 2*t(n). Let d(o) = 0. Calculate o.
2
Let g(h) be the second derivative of -10*h**7/21 - 16*h**6/15 + 9*h**5/5 + 8*h**4/3 - 8*h**3/3 - 10*h - 2. Solve g(x) = 0 for x.
-2, -1, 0, 2/5, 1
Suppose -2*u - 6 = -5*k, 0*u = -u + 5*k - 8. Let i(l) be the second derivative of l - 7/4*l**4 - 2*l**u - 4*l**3 + 0 + 49/20*l**5. Factor i(o).
(o - 1)*(7*o + 2)**2
Suppose 2*g**2 - g**2 + g**3 - 6*g**2 + 3*g**2 = 0. Calculate g.
0, 2
Factor -m + 2*m - 24 + 24 - m**2.
-m*(m - 1)
Let y(v) be the third derivative of -v**7/420 + v**5/60 + v**3/6 + 5*v**2. Let a(i) be the first derivative of y(i). Let a(g) = 0. What is g?
-1, 0, 1
Let o(j) be the third derivative of -j**6/1440 - j**5/160 + 3*j**3/2 + 3*j**2. Let w(d) be the first derivative of o(d). Let w(r) = 0. What is r?
-3, 0
Factor 7*j**3 + j**3 - 12*j**3.
-4*j**3
Let x(a) be the third derivative of a**8/672 - a**6/120 + a**4/48 - 7*a**2. Factor x(c).
c*(c - 1)**2*(c + 1)**2/2
Let v be 0*4*5/60. Find z, given that 2*z**3 + 2*z**4 + 0 + v*z + 2/3*z**5 + 2/3*z**2 = 0.
-1, 0
Let w = -2 - -5. Let l be (w/6)/((-2)/(-4)). Let -l - 2*u**2 - 1/2*u**3 - 5/2*u = 0. What is u?
-2, -1
Let r = 155993137/154 - 1012938. Let q = r + 4/77. Factor -3/2*g**3 - 3/2 - q*g**2 - 9/2*g.
-3*(g + 1)**3/2
Find r, given that 321*r - 5*r**2 + r**2 - 256 - 257*r = 0.
8
Let u(g) be the first derivative of g**4/2 + 16*g**3 + 144*g**2 - 34. Factor u(j).
2*j*(j + 12)**2
Let z(n) = 2*n - 13. Let x be z(8). Factor 0*a + 0 - 1/3*a**2 + 1/3*a**x.
a**2*(a - 1)/3
Let l(u) = -11*u**4 + 36*u**3 + 24*u**2 - 23*u. Let s(k) = -32*k**4 + 108*k**3 + 72*k**2 - 68*k. Let p(v) = 8*l(v) - 3*s(v). Factor p(d).
4*d*(d - 5)*(d + 1)*(2*d - 1)
Let g(o) = o. Let y(s) = -20*s**2 + 15. Let j(h) = -5*g(h) + y(h). Suppose j(l) = 0. What is l?
-1, 3/4
Factor 7*g + 10*g**2 + 47*g**3 - 2*g - 42*g**3.
5*g*(g + 1)**2
Let t(g) = 2*g**3 + 9*g**2 - 5. Let f(h) = h**3 + 5*h**2 - 3. Let p(n) = -5*f(n) + 3*t(n). Factor p(v).
v**2*(v + 2)
Let g(l) be the third derivative of -l**8/448 - l**7/140 + l**5/40 + l**4/32 + 34*l**2. Factor g(w).
-3*w*(w - 1)*(w + 1)**3/4
Factor -w**4 + 7*w**2 + 36*w**3 + w**2 - 7*w**4 - 40*w**3 + 4*w.
-4*w*(w - 1)*(w + 1)*(2*w + 1)
Suppose 8*q + 20 = 5*g + 13*q, -g + 8 = 3*q. Factor -1/4*n**g + n - 1.
-(n - 2)**2/4
Let m(g) be the third derivative of 5*g**2 + 0*g**3 + 0*g - 1/120*g**7 + 0 + 7/240*g**5 - 1/240*g**6 + 1/48*g**4. Suppose m(u) = 0. Calculate u.
-1, -2/7, 0, 1
Suppose -81/4*h + 0 + 9/4*h**3 + 3/4*h**4 - 27/4*h**2 = 0. What is h?
-3, 0, 3
Let g = 5/16 + 39/80. Let -4/5*v**3 + 4/5*v**2 - 4/5 + g*v = 0. Calculate v.
-1, 1
Let d(h) = h**2 - 8*h + 2. Let g be d(8). Let f(x) be the second derivative of -1/6*x**3 - g*x + 1/12*x**4 + 0 + 1/20*x**5 - 1/2*x**2. Factor f(l).
(l - 1)*(l + 1)**2
Let 2*r + 0 + 9/2*r**3 + 6*r**2 = 0. Calculate r.
-2/3, 0
Let g = -44 - -44. Solve y + g*y**2 - 1/3*y**3 + 2/3 = 0 for y.
-1, 2
Let j(n) = n**2 - 20*n - 40. Let a be j(22). Factor -4/3*y - 10/3*y**2 - 8/3*y**3 - 2/3*y**a + 0.
-2*y*(y + 1)**2*(y + 2)/3
Suppose -6*o + o + 5 = 0. Let c be o/(-10)*52/(-13). Factor -c*i**5 + 0*i + 0*i**2 + 2/5*i**3 + 0*i**4 + 0.
-2*i**3*(i - 1)*(i + 1)/5
Let s(j) be the third derivative of 2*j**2 + 1/6*j**4 - 1/105*j**7 - 1/6*j**5 + 1/15*j**6 + 0 + 0*j**3 + 0*j. Find b, given that s(b) = 0.
0, 1, 2
Let o be 1/1 + -1*1. Let j(k) be the first derivative of -2*k + 4*k**3 - 2*k**5 + 0*k**3 + o*k**3 + k**2 - 2 - k**6 + k**4. What is h in j(h) = 0?
-1, 1/3, 1
Let i(c) = 2*c**3 + 5*c**2 + 5*c. Let r(d) = d**3 + 2*d**2 + 2*d. Let o(t) = -4*i(t) + 10*r(t). Factor o(b).
2*b**3
Let u be (-30)/(-8) - (-2)/8. Suppose 394 = 23*t + 348. Factor -1/2*r + 1/2*r**3 - 7/4*r**u + 0 + 7/4*r**t.
-r*(r - 1)*(r + 1)*(7*r - 2)/4
Let x be (4/5)/(4/10). Let z = -86 + 606/7. Factor 0 + z*t**x - 2/7*t + 6/7*t**3.
2*t*(t + 1)*(3*t - 1)/7
Factor -8/5*d**2 - 2/5*d