f**2 + 0*f + l*f**4 = 0.
-1, 0
Let s(l) be the third derivative of 6*l**2 + 1/36*l**3 + 0*l + 0*l**6 + 0 + 1/1260*l**7 - 1/180*l**5 + 0*l**4. Factor s(h).
(h - 1)**2*(h + 1)**2/6
Let m = 1818/7 + -259. Let n(a) be the first derivative of -5/14*a**4 + m*a**2 + 4/7*a + 2/21*a**3 - 6/35*a**5 - 1. Determine l, given that n(l) = 0.
-1, -2/3, 1
Let f(w) be the second derivative of w**9/6048 - w**8/3360 - w**7/1680 + w**6/720 - 7*w**3/6 - 7*w. Let q(l) be the second derivative of f(l). Factor q(y).
y**2*(y - 1)**2*(y + 1)/2
Let o = 412/21 - 135/7. Suppose -5/6*y**2 + 11/6*y - o = 0. Calculate y.
1/5, 2
Suppose o - 6 = 0, 23*z - 2*o = 19*z - 4. Find h such that -3*h - 2*h**z - 1/3*h**3 + 0 = 0.
-3, 0
Factor 43/5*w**2 - 1/5*w**3 - 551/5*w + 361.
-(w - 19)**2*(w - 5)/5
Let s be -5*18/(-75) - (-1216)/(-1330). Factor 2/7*n + 0 + s*n**2.
2*n*(n + 1)/7
Factor -225 - 69/4*b**2 - 3/4*b**3 - 120*b.
-3*(b + 3)*(b + 10)**2/4
Let j(a) = -32*a + 14 + 30*a + 32. Let l be j(22). Let 6/5 + 2/5*b**l - 8/5*b = 0. Calculate b.
1, 3
Let z be (-112)/48 + 174/63. Factor -1/7*a**4 - z*a**2 + 0 - 3/7*a**3 - 1/7*a.
-a*(a + 1)**3/7
Let z(f) = 30*f**3 - 2*f**2 - f + 2. Let q be z(2). Let c = q - 1118/5. What is n in -26/5*n**2 + 0 - 4/5*n - c*n**3 = 0?
-1/3, -2/7, 0
Find n, given that -12/7*n**2 - 2/7*n**3 - 6/7*n + 20/7 = 0.
-5, -2, 1
Let r(h) be the second derivative of h**10/60480 - h**9/10080 + h**7/1260 - h**4 + 11*h. Let l(q) be the third derivative of r(q). Let l(s) = 0. What is s?
-1, 0, 2
Factor -80*j - 111 - 33*j**2 + 20*j**2 - 41 + 11*j**2.
-2*(j + 2)*(j + 38)
Factor 0*w**3 - 16*w**3 - 16*w**4 - 4092*w**5 + 4088*w**5.
-4*w**3*(w + 2)**2
Let v be ((-5)/(-30))/(4/16). Let y(b) be the second derivative of -3/2*b**2 - 1/12*b**4 + 0 + v*b**3 - 3*b. Factor y(t).
-(t - 3)*(t - 1)
Let n(s) be the second derivative of 8/5*s**2 - 2/3*s**3 + 0 - 33*s + 1/15*s**4. Factor n(c).
4*(c - 4)*(c - 1)/5
Let t(i) be the second derivative of i**4/30 - 4*i**3/5 + 7*i**2 + 6*i - 45. Factor t(z).
2*(z - 7)*(z - 5)/5
Let d be 26 + (0 + -1)*1. Factor -14*b - 180 - 5*b**2 - d*b - 23*b + 2*b.
-5*(b + 6)**2
Let l(k) be the first derivative of k**6/2 + 9*k**5/5 - 45*k**4/4 + 17*k**3 - 9*k**2 + 678. Factor l(y).
3*y*(y - 1)**3*(y + 6)
Let w(k) be the third derivative of -1/48*k**4 + 0 - 12*k**2 + 0*k + 0*k**3 - 1/240*k**6 - 1/60*k**5. Let w(o) = 0. Calculate o.
-1, 0
Let b be (-1 - (-8 + 5)) + 2. Factor 2*q + 3*q**4 - q**4 + 2*q**5 + 2*q + 6*q**3 - 10*q**2 - b*q**5.
-2*q*(q - 1)**3*(q + 2)
Let r(m) = -m**5 - 9*m**4 + 2*m**3 + 5*m**2 + 5*m - 10. Let i(d) = 4*d**4 - 2*d**2 - 2*d + 4. Let t(f) = 5*i(f) + 2*r(f). Factor t(j).
-2*j**3*(j - 2)*(j + 1)
Let q(n) be the second derivative of -12*n - 1/6*n**4 - 4/3*n**2 + 1/15*n**6 + 0 - n**3 + 1/6*n**5. Let q(t) = 0. What is t?
-1, 4/3
Factor 6/5*g**2 - 261/5*g + 129/5.
3*(g - 43)*(2*g - 1)/5
Suppose -6*o + 2*o - 24 = -4*l, 3*l = o + 10. Let 10*t + 10*t**2 + 2*t**l + 2*t**3 + 16*t - 16*t = 0. Calculate t.
-5, -1, 0
Factor -6/5*k + 6/5*k**3 - 2*k**2 + 8/5 + 2/5*k**4.
2*(k - 1)**2*(k + 1)*(k + 4)/5
Let g(n) = -6*n**5 - 10*n**4 + 2*n**3 + 54*n**2 + 20*n - 64. Let i(t) = -t**5 - t**2 - t + 2. Let q(z) = g(z) - 4*i(z). Solve q(s) = 0.
-3, -2, 1, 2
Let s = 8399/9 - 933. Find o, given that 0*o**4 - 2/9*o**5 - s*o + 0*o**2 + 4/9*o**3 + 0 = 0.
-1, 0, 1
Let w(v) be the third derivative of 3721*v**5/10 - 61*v**4/6 + v**3/9 - 273*v**2. Factor w(c).
2*(183*c - 1)**2/3
Let h = -27 - -61. Let f be h/(-85) + (-2)/(-5). Let 0*p + f + 2/9*p**2 + 2/9*p**3 = 0. Calculate p.
-1, 0
Let m be -12 + (8/36 - (-75)/27). Let l = -5 - m. Factor -2/7 - 4/7*k**3 + 6/7*k**l - 2/7*k**5 - 4/7*k**2 + 6/7*k.
-2*(k - 1)**4*(k + 1)/7
Factor 4*y + 0 - 2/5*y**4 - 12/5*y**3 - 6/5*y**2.
-2*y*(y - 1)*(y + 2)*(y + 5)/5
Let h(o) = 5*o**2 - 75*o - 86. Let v(p) = 15*p**2 - 225*p - 261. Let j(z) = 7*h(z) - 2*v(z). Determine g so that j(g) = 0.
-1, 16
Let -4/3*y**2 + 12 + 0*y = 0. What is y?
-3, 3
Suppose 3*t = -3 + 9. Suppose -t = -c - 2. Factor c*x**3 + 0*x**2 + 2/7*x**4 - 2/7*x**5 + 0*x + 0.
-2*x**4*(x - 1)/7
Let k(b) be the first derivative of 5*b**3/12 + 25*b**2/8 + 15*b/2 + 42. Factor k(n).
5*(n + 2)*(n + 3)/4
Suppose -3*h + 2*k + 0*k = 22, -2*k = 5*h + 10. Let a be 5 - (1 - 0*(-2)/h). Factor 4/5 + r**a + 4*r + 22/5*r**3 + 33/5*r**2.
(r + 1)**2*(r + 2)*(5*r + 2)/5
Factor 2*w**3 + 0 - 4/7*w - 10/7*w**2.
2*w*(w - 1)*(7*w + 2)/7
Find f such that -2/9*f**4 + 2/3*f + 0 + 10/9*f**3 - 14/9*f**2 = 0.
0, 1, 3
Let m(o) = -o**2 + 6*o + 7. Let d(p) = -p**3 + 2*p**2 + p + 5. Let v be d(2). Let w be m(v). Factor -2/11*i**5 + 2/11*i**2 + w*i - 2/11*i**4 + 0 + 2/11*i**3.
-2*i**2*(i - 1)*(i + 1)**2/11
Solve 278/3*u - 2/3*u**3 - 140/3 - 136/3*u**2 = 0.
-70, 1
Let x(k) be the first derivative of k**4/2 - 142*k**3 + 11448*k**2 - 22472*k + 748. What is o in x(o) = 0?
1, 106
Let r be (-20)/375*-1*1/8. Let d(h) be the third derivative of 1/15*h**3 + r*h**6 - 1/30*h**4 + 0*h + 0 - 1/525*h**7 + 0*h**5 + 5*h**2. Factor d(f).
-2*(f - 1)**3*(f + 1)/5
Let k(v) = 8*v**2 + 10*v - 9. Suppose 7*q - 14 = 14. Let h(t) = -t**2 - t + 1. Let x(a) = q*k(a) + 36*h(a). Factor x(c).
-4*c*(c - 1)
Let t(c) = 3*c - 5. Let a be t(0). Let j be -1*((-13)/(-65) + 1/a). Factor -2/11*z + j + 2/11*z**4 + 2/11*z**3 - 2/11*z**2.
2*z*(z - 1)*(z + 1)**2/11
Let x(d) be the third derivative of d**8/588 + 2*d**7/735 - 2*d**6/105 - 4*d**5/105 - 476*d**2. Find i such that x(i) = 0.
-2, -1, 0, 2
Let t(y) be the second derivative of -y**7/2520 + y**6/180 - y**5/40 + 7*y**4/12 - y - 38. Let a(i) be the third derivative of t(i). Factor a(s).
-(s - 3)*(s - 1)
Let q(d) be the second derivative of 1/66*d**4 + 0 - 14*d + 0*d**2 + 1/33*d**3. Solve q(r) = 0.
-1, 0
Let n(p) = 57*p**2 - 63*p + 5. Let s(o) = 30*o**2 - 32*o + 3. Let j(m) = 3*n(m) - 7*s(m). Find d such that j(d) = 0.
3/13, 2/3
Let i(d) = 2*d**4 - 2*d**3 + 3*d**2 + 6*d. Let l(s) = -3*s**4 + 3*s**3 - 4*s**2 - 8*s. Let t(x) = 4*i(x) + 3*l(x). Factor t(n).
-n**3*(n - 1)
Let -2*i - 4*i**2 + 6*i + 8*i + 3*i + 5*i = 0. Calculate i.
0, 5
Let q(o) = o**3 + 3*o**2 - 6*o - 8. Let h(t) = 5*t + 21. Let b be h(-5). Let d be q(b). Let -4/11*k**3 + 4/11*k + 2/11*k**4 - 2/11*k**2 + d = 0. What is k?
-1, 0, 1, 2
Let j = -67 - -151. Suppose -5*n + j = -51. Find b, given that 81*b**4 - 8*b**2 + 13*b**3 - 9*b - 3 + 65*b**3 + 4*b**2 + 22*b**2 + n*b**5 = 0.
-1, -1/3, 1/3
Let i(h) be the second derivative of -2*h**7/21 + 2*h**6/3 - 8*h**5/5 + 4*h**4/3 + 86*h + 2. Find o such that i(o) = 0.
0, 1, 2
Let x = 599/2372 + -3/1186. Determine n, given that 1/2*n + 0 + x*n**2 - 1/4*n**3 = 0.
-1, 0, 2
Let p be 4/(-12) - 0 - 14/(-42)*5. Solve 0 - 10/3*z**3 + 16/3*z - 2/3*z**4 - p*z**2 = 0.
-4, -2, 0, 1
Find u such that -27/5*u - 3 + 3/5*u**3 - 9/5*u**2 = 0.
-1, 5
Suppose i = -2*i - 2*d + 8, -5*i = -2*d - 8. Let l = -6/55 - -213/440. Factor 0*b**i + 1/8*b**3 - l*b**4 + 0*b + 0.
-b**3*(3*b - 1)/8
Let s = 2568/155 + -83/5. Let h = s + 191/155. Solve -h*o**2 - 8/5 - 16/5*o = 0.
-2, -2/3
Let m(t) be the first derivative of -t**8/252 + t**6/30 + 2*t**5/45 + t**2/2 - 6. Let l(n) be the second derivative of m(n). Find v such that l(v) = 0.
-1, 0, 2
Let b = 109 + 7. Solve 120*i**2 - 20*i**3 - b*i + 9*i**3 + 24 - 17*i**3 = 0 for i.
2/7, 1, 3
Suppose 19 - 13 = 2*q. Factor -12*p**4 - 2*p**q - p**2 + 14*p**4 - 11*p**2 + 8*p + 16.
2*(p - 2)**2*(p + 1)*(p + 2)
Let w be (-5489)/(-44) + -13 - -2. Suppose 49*s**5 - 35/4*s**2 + 155/2*s**3 + 1 - w*s**4 - 5*s = 0. Calculate s.
-1/4, 2/7, 1
Let c = -9129 + 9132. Determine r, given that 16/5*r - 4/5*r**4 - 12/5*r**c + 0*r**2 + 0 = 0.
-2, 0, 1
Let f(m) = m**3 + 2*m**2 - 4*m - 5. Let s be f(-2). Factor 3*r**2 - 119*r**3 + s*r - r + 120*r**3.
r*(r + 1)*(r + 2)
Factor -4*x**2 - 15*x + 47*x - 16 + 4*x**4 - 20*x**3 - 87*x**5 + 91*x**5.
4*(x - 1)**3*(x + 2)**2
Let j(q) be the first derivative of -q**4/16 - 23*q**3/24 + 3*q**2/4 - 121. Factor j(m).
-m*(m + 12)*(2*m - 1)/8
Let c(j) be the third derivative of -j**6/360 - j**5/90 + 5*j**4/72 + j**3/3 + 597*j**2. Factor c(y).
-(y - 2)*(y + 1)*(y + 3)/3
Factor 5521*w**3 - 5031*w**3 - 3*w**4 - 12005*w**2 - 2*w**4.
-5*w**2*(w - 49)**2
Let g(k) = -13*k**2 + 9. Suppose -4*s + 8 = -4. Let v(l) = 4*l**2 + s*l**2 + 0 - 4*l**2 - 2. Let j(t) = 2*g(t) + 9*v(t). Factor j(w).
w**2
Le