x - 1)**2*(x + 1)**2
Let n(y) = -y + 12. Let k be n(10). Factor -k - 2*i - 2*i + i**3 + 0*i + i.
(i - 2)*(i + 1)**2
Let w(r) = -3*r**3 - 12*r**2 - 7*r - 14. Let m(p) = -p**3 - 4*p**2 - 2*p - 5. Let k(u) = 8*m(u) - 3*w(u). Suppose k(h) = 0. What is h?
-2, -1
Let h(f) = -f**2 - 2*f - 1. Let w be h(-3). Let z be (3/2)/(w/(-8)). Suppose 2*b**2 + b**z + b**4 - b**5 - 3*b**2 + 0*b**3 = 0. Calculate b.
-1, 0, 1
Let t(g) be the third derivative of 0*g + 0 - 1/30*g**5 - 1/12*g**4 + 2*g**2 + 2/3*g**3. Suppose t(w) = 0. What is w?
-2, 1
Let o(k) be the first derivative of -k**4/2 + 4*k**3/21 + 57. Factor o(s).
-2*s**2*(7*s - 2)/7
Let o be 14/(-8)*60/(-5). Let q be 8/8 - (-33)/o. Factor q + 2/7*f**2 + 12/7*f.
2*(f + 3)**2/7
Let l be -1*(-2 - 94/(-48)). Let n(m) be the second derivative of -1/6*m**4 - 2*m - 1/16*m**5 - l*m**3 + 0 + 1/4*m**2. Suppose n(x) = 0. What is x?
-1, 2/5
Let b = -2 - -3. Let r be b/6*(-6)/(-4). Factor 1/4*u - r*u**2 + 0 + 1/4*u**4 - 1/4*u**3.
u*(u - 1)**2*(u + 1)/4
Let k(t) be the second derivative of 0 + 32/21*t**3 + 32/7*t**2 + 7*t - 16/35*t**5 - 2/15*t**6 - 2/147*t**7 - 8/21*t**4. Let k(g) = 0. What is g?
-2, 1
Let r(p) = p**3 + 12*p**2 + 13*p - 4. Let w be r(-11). Let i be -2 + w/(-22) + 1. Factor -4/11*h - i - 2/11*h**2.
-2*(h + 1)**2/11
Suppose -5*i - 5 = -30. Suppose 4 = -3*o + 2*q, -i*o - 5*q + 4 = -3*q. Let o*g + 1/3*g**2 + 0 + 1/3*g**3 = 0. Calculate g.
-1, 0
Let z(w) be the second derivative of w**9/4536 - w**8/2520 - w**3/2 + 2*w. Let f(t) be the second derivative of z(t). Factor f(m).
2*m**4*(m - 1)/3
Factor 0*c + 0 + 1/4*c**5 - 1/4*c**3 - 1/2*c**2 + 1/2*c**4.
c**2*(c - 1)*(c + 1)*(c + 2)/4
Let s(x) be the second derivative of x**7/126 + x**6/90 - x**5/60 - x**4/36 - 6*x. Factor s(v).
v**2*(v - 1)*(v + 1)**2/3
Let n = -136 - -684/5. Let -2/5*p + n - 2/5*p**2 = 0. Calculate p.
-2, 1
Let o = 1349 - 1346. Suppose 1/4*p**5 + 0 + 7/8*p**4 + 5/8*p**2 + 9/8*p**o + 1/8*p = 0. What is p?
-1, -1/2, 0
Let q(k) be the first derivative of 0*k - 1/9*k**3 + 4 + 0*k**2. Factor q(c).
-c**2/3
Let i(k) be the first derivative of k**4/12 - k**3/9 + 3. Let i(a) = 0. What is a?
0, 1
Let f(s) be the first derivative of -s**8/336 - s**7/280 + s**6/180 + 4*s**3/3 + 4. Let w(l) be the third derivative of f(l). Determine y, given that w(y) = 0.
-1, 0, 2/5
Suppose y = 8*y - 21. Let q(t) be the third derivative of 0*t + 0 - 2*t**2 + 2/3*t**y + 1/60*t**5 - 1/6*t**4. Find c such that q(c) = 0.
2
Let u(z) = z**3 - z. Let j(l) = 3*l**4 + 10*l**3 - 9*l**2 - 52*l. Let r(s) = j(s) + 2*u(s). Factor r(h).
3*h*(h - 2)*(h + 3)**2
Let i be 15/(5/(-1)) - -3*1. Let w(n) be the first derivative of -2/9*n - 2 + 2/45*n**5 - 2/9*n**2 + 1/9*n**4 + i*n**3. Factor w(t).
2*(t - 1)*(t + 1)**3/9
Let x(h) be the second derivative of 7*h**4/4 + h**3 + 3*h. Solve x(q) = 0.
-2/7, 0
Let m(s) = 16*s - 78. Let i be m(5). Solve 4/3*w + i*w**2 + 0 = 0 for w.
-2/3, 0
Let v(z) be the first derivative of -5*z**6/6 - 12*z**5/5 - z**4 + 10*z**3/3 + 9*z**2/2 + 2*z + 2. Find a such that v(a) = 0.
-1, -2/5, 1
Let n(o) be the second derivative of -o**7/2100 + o**6/1800 - 2*o**4/3 - 2*o. Let j(b) be the third derivative of n(b). Factor j(y).
-2*y*(3*y - 1)/5
Let t be (2/6)/((-3)/(-6)). Determine w, given that -1/3*w**3 - 1/3*w + 0 - t*w**2 = 0.
-1, 0
Let v(x) be the second derivative of -x**4/6 + x**3 + 10*x. Factor v(h).
-2*h*(h - 3)
Factor 1833*g**2 - 14 - 20*g**3 + 20*g + 4*g**4 - 1821*g**2 - 2.
4*(g - 4)*(g - 1)**2*(g + 1)
Let t(j) = -j**5 + 2*j**4 + 5*j**3 + 3*j**2 + 6*j - 5. Let w(a) = a**3 + a**2 + a - 1. Suppose -1 + 0 = -p. Let k(h) = p*t(h) - 5*w(h). Factor k(x).
-x*(x - 1)**3*(x + 1)
Determine h so that 162*h**5 - 174*h**3 - 116*h**2 + 39*h - 10*h + 9*h + 144*h**4 + 16 + 18*h = 0.
-1, -2/9, 2/3
Let y = -11 + 5. Let z(j) = -j - 2. Let v be z(y). Factor -1/3*d**5 - 1/3*d**3 + 0 + 2/3*d**v + 0*d + 0*d**2.
-d**3*(d - 1)**2/3
Let n(j) be the third derivative of -j**8/210 - j**7/140 + j**6/180 + 5*j**3/6 + 4*j**2. Let b(k) be the first derivative of n(k). Factor b(u).
-2*u**2*(u + 1)*(4*u - 1)
Suppose -8*v - 10 = -26. Let o(c) be the second derivative of 0 - c**3 - 1/3*c**4 - c**v + 3*c. Factor o(h).
-2*(h + 1)*(2*h + 1)
Let d(g) be the second derivative of g**9/6048 - g**8/1680 - g**3/3 + 4*g. Let i(s) be the second derivative of d(s). Factor i(c).
c**4*(c - 2)/2
Find c such that -2/3*c**3 + 0*c**2 + 2*c - 4/3 = 0.
-2, 1
Let n(g) be the third derivative of 1/120*g**5 - 3*g**2 - 1/24*g**3 + 0*g + 0*g**4 - 1/840*g**7 + 0*g**6 + 0. Factor n(x).
-(x - 1)**2*(x + 1)**2/4
Let l(q) = -q. Let x(r) = r**2 + 14*r + 64. Let a(k) = 2*l(k) - x(k). Factor a(s).
-(s + 8)**2
Let v = 4/25 - -1/25. Solve -2/5 + v*y + 1/5*y**2 = 0 for y.
-2, 1
Let c(m) = 0*m**5 - m**5 + m**3 + 7*m - 4*m**5 + 3*m**3. Let t(f) = f + 8*f**2 - f**5 - 8*f**2 + f**3. Let w(p) = -c(p) + 6*t(p). Find i such that w(i) = 0.
-1, 0, 1
Factor 14*q + 3*q**5 + 3*q**2 - 2*q**4 - 8*q - 9*q**3 - q**4.
3*q*(q - 2)*(q - 1)*(q + 1)**2
Let c(o) be the third derivative of o**5/15 - 7*o**4 + 294*o**3 + 54*o**2. Suppose c(v) = 0. Calculate v.
21
Factor -4/7*i**2 + 0 + 1/7*i**3 + 1/7*i**4 - 4/7*i.
i*(i - 2)*(i + 1)*(i + 2)/7
Let w(q) be the first derivative of 0*q**2 + 1 - 1/24*q**6 + 0*q - 1/10*q**5 - 1/16*q**4 + 0*q**3. Let w(z) = 0. Calculate z.
-1, 0
Let f(q) be the second derivative of -q**5/30 + q**4/27 + 2*q. Let f(a) = 0. Calculate a.
0, 2/3
Factor 11*p**3 + 0*p**2 + 18*p - 6*p**2 - 3 - 21*p**2 + p**3.
3*(p - 1)**2*(4*p - 1)
Let k(r) = -4*r**2 + 80*r - 96. Let c(z) = -z**2 + 16*z - 19. Let d(w) = 16*c(w) - 3*k(w). Find f, given that d(f) = 0.
2
Let o(s) be the second derivative of s**8/630 - s**7/180 + s**6/270 + s**5/180 - 5*s**3/6 + 9*s. Let n(d) be the second derivative of o(d). Factor n(c).
2*c*(c - 1)**2*(4*c + 1)/3
Suppose 64/3*l + 4/3*l**2 + 20 = 0. Calculate l.
-15, -1
Let o be 1932/(-5) - (3 - 2). Let l = 389 + o. Factor -l + 6/5*f**2 - 8/5*f.
2*(f - 2)*(3*f + 2)/5
Let s(o) be the first derivative of 0*o + 1/12*o**4 + 0*o**3 + 2 + 0*o**2. Factor s(g).
g**3/3
Let r(n) be the second derivative of n**4/48 + n**3/12 + n**2/8 - 6*n. Factor r(h).
(h + 1)**2/4
Let c = -907/2 - -454. Factor -c*o - 1/2*o**2 + 0.
-o*(o + 1)/2
Factor 2/7*f**3 - 2/7*f**2 - 2/7*f + 2/7.
2*(f - 1)**2*(f + 1)/7
Let k(x) be the second derivative of x**6/10 + 3*x**5/5 + 5*x**4/4 + x**3 - 6*x. Factor k(h).
3*h*(h + 1)**2*(h + 2)
Let y(s) be the second derivative of s**7/2940 - s**6/1260 + s**3/2 + 3*s. Let w(x) be the second derivative of y(x). Factor w(m).
2*m**2*(m - 1)/7
Factor -4/3 + z**2 + 0*z + 1/3*z**3.
(z - 1)*(z + 2)**2/3
Let r(u) be the second derivative of -u**5/50 + u**3/15 + 11*u. Find p, given that r(p) = 0.
-1, 0, 1
Let -5*u**2 - 28*u**3 + 23*u + 6*u**2 + 36*u**4 + 5*u + 8 - 45*u**2 = 0. What is u?
-1, -2/9, 1
Let x = -509/18 - -57/2. Find c such that 4/9*c**3 - 2/9*c**4 + x*c**2 + 0 - 4/9*c = 0.
-1, 0, 1, 2
Let i(q) be the first derivative of -4*q**5/25 + 4*q**3/5 - 4*q**2/5 - 11. Factor i(t).
-4*t*(t - 1)**2*(t + 2)/5
Suppose -10/11*r**2 + 6/11*r + 18/11 + 2/11*r**3 = 0. Calculate r.
-1, 3
Let w(c) be the first derivative of 2*c**5 - 4*c**4 + 2*c**3/3 + 2*c**2 - 4. Let w(s) = 0. What is s?
-2/5, 0, 1
Suppose 0*l - 4/7*l**2 + 4/7 = 0. Calculate l.
-1, 1
Let n(p) be the first derivative of 3*p**5/35 - 9*p**4/14 + 13*p**3/7 - 18*p**2/7 + 12*p/7 - 36. Factor n(i).
3*(i - 2)**2*(i - 1)**2/7
Let n = -11/15 + 151/165. Factor -12/11*p**3 - 20/11*p + 24/11*p**2 + 6/11 + n*p**4.
2*(p - 3)*(p - 1)**3/11
Let m(x) = x**3 - 4*x**2 - 3*x - 7. Let h be m(5). Let w be (3 + -5)*(-1)/h. Factor 2/3*z**5 + 0*z + 0 - 2/3*z**4 - w*z**3 + 2/3*z**2.
2*z**2*(z - 1)**2*(z + 1)/3
Let h = -65 + 95. Let z = -59/2 + h. Determine v so that 1/2 - z*v**2 + 0*v = 0.
-1, 1
Let o(z) be the first derivative of 2*z**3/3 - 2*z**2 - 8. Factor o(i).
2*i*(i - 2)
Let w(r) be the first derivative of 0*r**3 + 1/2*r**4 - 3 + 0*r + 0*r**5 + 0*r**2 - 1/3*r**6. Factor w(i).
-2*i**3*(i - 1)*(i + 1)
Let q be 3 - (4 - 1) - (-18)/6. Let d = 8 - 5. Find h such that -4*h**2 - 2*h - 2*h**d + 0*h**2 + 0*h**q + 0*h**2 = 0.
-1, 0
Let k = 20 + -14. Let x(h) = -11*h**3 + 6*h**2 - 7*h - 24. Let g(j) = -4*j**3 + 2*j**2 - 2*j - 8. Let s(v) = k*x(v) - 17*g(v). Let s(o) = 0. Calculate o.
-2, -1, 2
Let z(u) 