z). Factor c(k).
2*(k - 1)**3*(k + 1)*(2*k + 1)
Let v(r) = 2*r - 22. Let j be v(12). Let d(t) be the first derivative of 0*t + 4 + 1/3*t**3 - 1/6*t**j - 1/4*t**4 + 1/15*t**5. Factor d(n).
n*(n - 1)**3/3
Let t(o) be the second derivative of -o**9/45360 + o**8/10080 - o**6/1080 + o**5/360 + o**4/6 + 2*o. Let z(v) be the third derivative of t(v). Factor z(f).
-(f - 1)**3*(f + 1)/3
Suppose -4*y = 6 - 30. Suppose -j**3 - 4 - y*j**2 - 2 - 12*j - 2 = 0. What is j?
-2
Let w(r) be the second derivative of r**8/1120 + r**7/6300 - r**6/900 - r**4/4 - r. Let z(u) be the third derivative of w(u). Solve z(t) = 0 for t.
-2/5, 0, 1/3
Suppose 0 = 4*u, 3*z - 3*u = u + 9. Let o = 536/1827 + -2/261. Solve 4/7*q**z + o*q**2 + 0*q + 0 + 2/7*q**4 = 0.
-1, 0
Factor 0*z**4 + 9/2*z**3 - 3/2*z**5 + 0 + 0*z + 3*z**2.
-3*z**2*(z - 2)*(z + 1)**2/2
Let n(w) be the third derivative of 29/60*w**6 + 5/56*w**8 + 0 + 4/3*w**3 + 0*w - 41/105*w**7 - 4/3*w**4 - 2*w**2 + 3/10*w**5. Suppose n(r) = 0. Calculate r.
-2/3, 2/5, 1
Factor 147*z**2 + 7*z**4 - 5*z**4 + 25*z**5 + 8*z**4 - 150*z**3 + 5*z - 30 - 7*z**2.
5*(z - 1)**3*(z + 3)*(5*z + 2)
Let l(b) = -8*b**2 - 23*b - 23. Let v(u) = 2*u**2 + 6*u + 6. Let z(q) = -2*l(q) - 9*v(q). Factor z(h).
-2*(h + 2)**2
Let t(k) be the second derivative of -1/6*k**4 + 1/25*k**5 + 0*k**2 + 3*k + 0 - 2/15*k**3 + 1/15*k**6. Find v such that t(v) = 0.
-1, -2/5, 0, 1
Let p(s) = s**2 + 26*s + 125. Let f(c) = -c**2 - 25*c - 124. Let z(b) = 4*f(b) + 3*p(b). Factor z(w).
-(w + 11)**2
Let i be 2/(-9) + 39/54. Factor 0 + i*x**2 - 1/2*x.
x*(x - 1)/2
Let 3*v**5 - v**4 + 6*v - 9*v**3 - 2*v**4 - 28*v**2 + 31*v**2 = 0. What is v?
-1, 0, 1, 2
Let n(p) be the second derivative of 0 + 1/120*p**5 + 0*p**2 - 1/48*p**4 - p - 1/720*p**6 + 1/3*p**3. Let m(s) be the second derivative of n(s). Factor m(c).
-(c - 1)**2/2
Let l(z) be the first derivative of z**6/5 - 3*z**5/20 - z**4/4 + 2*z + 4. Let t(n) be the first derivative of l(n). Let t(j) = 0. What is j?
-1/2, 0, 1
Factor -4 + 2/3*a + 2/3*a**2.
2*(a - 2)*(a + 3)/3
Let k = -2376 + 21410/9. Determine o, given that -8/9 - 4/3*o**3 - 2/9*o**4 - 8/3*o - k*o**2 = 0.
-2, -1
Factor 0 + 0*h**2 + 2/3*h**3 - 8/3*h.
2*h*(h - 2)*(h + 2)/3
Let y(n) = -3*n**2 + 15*n. Suppose -2*t - 2*t + 20 = 0. Let m(v) = 2*v**2 - 8*v. Let p be (7 - (0 - 2))/1. Let i(x) = p*m(x) + t*y(x). Solve i(d) = 0 for d.
-1, 0
Factor -2/17*c**2 - 8/17*c - 8/17.
-2*(c + 2)**2/17
Let h = -19/5 + 181/45. Factor 2/9*a**2 - 2/9*a**3 + 2/9*a - h*a**4 + 0.
-2*a*(a - 1)*(a + 1)**2/9
Suppose -5*q + 5 = -15. Suppose 0 = q*l + 3*a - 13 - 4, -12 = -3*l - 2*a. Factor -i + 0*i**l - 3*i**2 + 4*i**2.
i*(i - 1)
Factor -4*m + 8*m**3 - 4 + 8*m**2 - 3*m**4 + 0*m**5 - m**4 - 4*m**5.
-4*(m - 1)**2*(m + 1)**3
Let s(t) = 0*t**2 + 2*t**2 + 9*t**3 + 16*t**2 + 4 + 11*t. Let m(j) = -10*j**3 - 19*j**2 - 11*j - 5. Let b(p) = 2*m(p) + 3*s(p). Factor b(q).
(q + 1)**2*(7*q + 2)
Find b, given that 0*b + 5/3*b**5 - 5/3*b**3 + 2/3*b**2 - 2/3*b**4 + 0 = 0.
-1, 0, 2/5, 1
Suppose t - 4 = -2*y, -2*t - 2*t = 0. Suppose -2/3*h**y - 2/3 + 5/3*h = 0. Calculate h.
1/2, 2
Let h(j) be the third derivative of 1/60*j**4 + 1/525*j**7 - 1/300*j**6 + 0 - 2*j**2 + 0*j**3 + 0*j - 1/150*j**5. Factor h(k).
2*k*(k - 1)**2*(k + 1)/5
Let q(m) be the third derivative of -m**9/120960 - m**8/20160 - m**7/10080 - m**5/15 - 5*m**2. Let d(w) be the third derivative of q(w). Factor d(h).
-h*(h + 1)**2/2
Let 0*x + 0 + 12/5*x**3 - 4/5*x**2 + 4/5*x**5 - 12/5*x**4 = 0. Calculate x.
0, 1
Let t(m) be the first derivative of -2*m**6/3 + 16*m**5/5 - 6*m**4 + 16*m**3/3 - 2*m**2 - 5. Factor t(f).
-4*f*(f - 1)**4
Factor 2*z**2 - 39*z - 42*z + 79*z - 12.
2*(z - 3)*(z + 2)
Let t(b) be the third derivative of -b**7/70 + b**6/8 - 9*b**5/20 + 7*b**4/8 - b**3 - 7*b**2. Factor t(z).
-3*(z - 2)*(z - 1)**3
Find j such that 0 - 2*j**2 - 2/3*j**3 - 4/3*j = 0.
-2, -1, 0
Let m(x) be the first derivative of 0*x + 0*x**4 + 0*x**2 - 2/15*x**5 + 1 + 2/9*x**3. Determine l, given that m(l) = 0.
-1, 0, 1
Suppose -5*j + 6 + 4 = 0. Factor 2*h + 2 + h + 3*h**j + h**3 - 1.
(h + 1)**3
Let y(k) be the third derivative of 4/75*k**6 + 3*k**2 + 0 - 1/4*k**4 + 2/15*k**3 + 0*k + 4/25*k**5. Let y(l) = 0. Calculate l.
-2, 1/4
Suppose -25*g = -24*g. Determine s so that -2/3*s**5 + 0*s + g + 0*s**2 + 0*s**4 + 2/3*s**3 = 0.
-1, 0, 1
Let g(c) be the third derivative of c**6/240 + c**5/30 + 5*c**4/48 + c**3/6 + 7*c**2. Determine t, given that g(t) = 0.
-2, -1
Suppose -3/2 + 19/2*x - 33/2*x**2 + 9/2*x**3 = 0. Calculate x.
1/3, 3
Suppose 5*b + 14 = -56. Let y be 2/(3/((-12)/b)). Factor -2/7 - 2/7*o**2 + y*o.
-2*(o - 1)**2/7
Suppose 0 = k - 10*k + 27. Let g(y) be the second derivative of 0*y**4 + 0*y**2 + 0*y**k - 1/21*y**7 - y + 0 + 1/15*y**6 + 0*y**5. Solve g(o) = 0.
0, 1
Determine t so that 13/5*t + 23/5*t**2 + 3/5*t**3 + 2/5 - 9/5*t**4 = 0.
-1, -1/3, 2
Let v(o) = o**2 + o + 1. Let n be v(-2). Factor -7*h + 3*h - 1 + h + h**n + 3.
(h - 1)**2*(h + 2)
Let g(o) = 2*o - 62. Let t be g(31). Let b(p) be the first derivative of -3 + 2/35*p**5 + 0*p + 2/21*p**3 + 1/7*p**4 + t*p**2. Factor b(w).
2*w**2*(w + 1)**2/7
Let o = 643/2 - 320. Find i, given that 0*i + 0 - o*i**3 - 3/8*i**4 - 9/8*i**2 = 0.
-3, -1, 0
Suppose -f + 5 = -c, -3*f - 5 = -f + 3*c. Determine p, given that -2*p**2 + 2*p + 0*p - 5*p + 2 + 3*p**f = 0.
1, 2
Let i(u) = -u**3 + 7*u**2 - 6*u + 4. Suppose j + 2*j - 18 = 0. Let h be i(j). Solve -2*t**2 - h*t**3 + t**2 + 2*t**2 - 3*t**2 = 0.
-1/2, 0
Factor 10/13*g - 2/13*g**3 - 8/13*g**2 + 0.
-2*g*(g - 1)*(g + 5)/13
Suppose 5*x - 35 = -v, -x - 4*v + 0*v = -26. Let i be -2*(8/x)/(-4). Let -2/3*y**2 + 4/3 + i*y = 0. What is y?
-1, 2
Let z = -1 + 5. Find v, given that 4 + 1 + v**2 + z*v - 4 + 3 = 0.
-2
Find l such that l**3 + 8*l**3 + 3*l**4 + 29*l**2 - 12*l**2 - 11*l**2 = 0.
-2, -1, 0
Suppose -4*p = -3*u - 2 + 6, -3*u = -12. Let c be 4/3*15/10. Factor 2*k**c + k**3 + k**3 - 3*k**4 + k**p - 2*k.
-k*(k - 1)*(k + 1)*(3*k - 2)
Let a(f) = f**3 + 3*f**2 + 2*f + 2. Let v be a(-2). Suppose v*b = -b + 30. Let 5*y + b*y**2 + 5*y**3 + 5*y**4 + 2 - 1 + y**5 + 5*y**3 = 0. Calculate y.
-1
Let n(j) be the first derivative of -j**4/4 + 5*j**3/12 + 7*j**2/8 - j/2 + 3. Determine w so that n(w) = 0.
-1, 1/4, 2
Let s(h) be the first derivative of 4*h**3/3 - 2*h**2 + 11. Factor s(c).
4*c*(c - 1)
Suppose b - 3*p + 13 = 0, 2*p - 5*p = 2*b - 19. Solve 0*d**3 + 3*d**3 - d**2 + d**b - 3*d**5 = 0.
-1, 0, 1
Let h(g) be the first derivative of -g**3 - 3*g**2 - 60. Find i such that h(i) = 0.
-2, 0
Factor -4 + 2*c**3 + 3*c**4 - 18*c + c**5 + 6*c + 0 - 11*c**2 - 3*c**3.
(c - 2)*(c + 1)**3*(c + 2)
Let l = 37 - 58. Let z(n) = 12*n**2 + 24*n - 21. Let g(f) = 3*f**2 + 6*f - 5. Let w(i) = l*g(i) + 5*z(i). Suppose w(o) = 0. Calculate o.
-2, 0
Let d = -9 + 11. Let a = d + 1. Find t such that 2/5*t + 2/5*t**a - 4/5*t**2 + 0 = 0.
0, 1
Let g(s) be the first derivative of -12*s**3 - 14/3*s**6 + 36/5*s**5 + 4*s**2 + 1 + 5*s**4 + 0*s. Determine o so that g(o) = 0.
-1, 0, 2/7, 1
Let u(n) = n**4 - n**3 + n**2. Let a(q) = -3*q**4 + 3*q**3 - q**2. Let y(r) = -6*a(r) - 14*u(r). Find s such that y(s) = 0.
-1, 0, 2
Let z be (-9)/35*(480/18)/(-16). Factor 6/7*f + 0 + 9/7*f**2 + z*f**3.
3*f*(f + 1)*(f + 2)/7
Let a be 2*(-2)/(-8)*14. Let h(n) = n**3 - n**2 - n. Let p be h(2). Factor 4*v**2 + 2*v**4 - 5 - 5*v**p + a - 3*v**2.
2*(v - 1)**2*(v + 1)**2
Let q(d) = 50*d**3 - 15*d**2 - 32*d - 3. Let s(z) = 25*z**3 - 7*z**2 - 16*z - 2. Let f(x) = -2*q(x) + 5*s(x). Factor f(c).
(c - 1)*(5*c + 2)**2
Let r(t) be the second derivative of t**4/102 + 4*t**3/51 + 4*t**2/17 - t + 4. Factor r(n).
2*(n + 2)**2/17
Let f(z) be the second derivative of -z**5/30 - z**4/9 - z**3/9 + 3*z. Factor f(s).
-2*s*(s + 1)**2/3
Factor 0 + 3*f + 3/4*f**3 - 3*f**2.
3*f*(f - 2)**2/4
Let q(g) be the first derivative of -g**3 + 3*g + 11. Suppose q(o) = 0. Calculate o.
-1, 1
Find f, given that -2/11*f**2 + 0 + 4/11*f**3 + 0*f - 2/11*f**4 = 0.
0, 1
Let f(z) be the first derivative of -z**5/30 - z**4/4 - 2*z**3/3 + 3*z**2/2 - 3. Let u(k) be the second derivative of f(k). Determine r, given that u(r) = 0.
-2, -1
Let m(i) be the third derivative of 4*i**7/735 - i**6/420 - 2*i**5/35 - 5*i**4/84 + 2*i**3/21 - 7*i**2. Find h such that m(h) = 0.
-1, 1/4, 2
Let m(f) be the 