 6*o**2 - 247*o. Factor f(k).
-(k + 3)*(k + 4)
Factor 35/6*r**2 - 25/2 - 5/6*r**3 - 35/6*r.
-5*(r - 5)*(r - 3)*(r + 1)/6
Let h = -1 + 16. Factor 3*k**3 - 2*k**2 - k**2 - 12*k + 3 - 6 + h.
3*(k - 2)*(k - 1)*(k + 2)
Let i(l) = l**2 + 5*l + 3. Let w be i(-5). Solve r**2 - 9*r**2 - w*r**3 + 11*r**2 = 0.
0, 1
Let v be ((-64)/(-400))/((-4)/(-20)). Factor 4/5*d**4 + 0*d + 0 + v*d**2 - 8/5*d**3.
4*d**2*(d - 1)**2/5
Let j(m) be the first derivative of -10 - 5/4*m**6 + 0*m**2 - 7/2*m**5 - 5/6*m**3 + 0*m - 25/8*m**4. Solve j(q) = 0.
-1, -1/3, 0
Let w(a) = -6*a + 12 - 8*a**3 - 10 + 4 + 2*a**2 + 8*a**4. Let f(u) = 7*u**4 - 7*u**3 + u**2 - 5*u + 5. Let p(z) = -6*f(z) + 5*w(z). Factor p(r).
-2*r**2*(r - 2)*(r + 1)
Let m be ((-24)/(-28))/(338/56 - 7) - -1. Determine h so that 2/9 - m*h - 1/9*h**2 = 0.
-2, 1
Let r = -51856 + 155579/3. Let l = 221/3 - 73. Factor r*j**2 + 3*j - l.
(j + 1)*(11*j - 2)/3
Let t(x) be the third derivative of -x**7/945 + x**6/540 + x**5/90 - x**4/108 - 2*x**3/27 - 115*x**2. Let t(p) = 0. What is p?
-1, 1, 2
Let q be 43/(-172) - (11/4 - 3). Determine g, given that 10/19*g**4 + 24/19*g**3 + 4/19*g + q + 18/19*g**2 = 0.
-1, -2/5, 0
Let o be (-4)/(-20)*5*5. Suppose 0*y + 15 = o*y. Factor 0 + 0*p - 1/2*p**2 + 1/4*p**y.
p**2*(p - 2)/4
Suppose 5*a = -25, -2*p - 3*a = 3*p. Suppose 0 = 2*l - 0*l + 2*r, -5*l - p*r + 4 = 0. Factor 0 + 0*x**l + 1/5*x**3 - 1/5*x.
x*(x - 1)*(x + 1)/5
Determine p so that 0 + 0*p - 2/9*p**2 - 2/9*p**3 = 0.
-1, 0
Factor -51 - 17 + 876*n - 4 - 657*n - 9*n**2.
-3*(n - 24)*(3*n - 1)
Let b be (-3)/(13 - 16 - (-8)/3). Let y(n) be the first derivative of 8*n**2 + 0*n - 4/3*n**3 - b. Find l such that y(l) = 0.
0, 4
Let f(g) be the second derivative of -11*g + 0*g**2 + 0 - 1/48*g**4 + 1/24*g**3. Let f(w) = 0. What is w?
0, 1
Find z, given that -16/5*z**2 - 1/5*z**4 + 0 + 12/5*z + 7/5*z**3 = 0.
0, 2, 3
Let d(r) be the second derivative of 1/20*r**5 + 0*r**4 - 1/5*r**6 + 0*r**3 + 0 + 10*r + 0*r**2. Factor d(u).
-u**3*(6*u - 1)
Suppose -y - 23 = -5*p, -p = -2*y + p - 6. Let f be (-2)/4 + (-14)/(-20). What is o in 0 + f*o + 1/5*o**3 - 2/5*o**y = 0?
0, 1
Let g be ((-4)/10)/((-2)/4). Let h be 0/(-3)*(-3)/(-39). Factor -2/5*p**4 + 0*p - 2/5*p**3 + g*p**2 + h.
-2*p**2*(p - 1)*(p + 2)/5
Let a(u) = -2*u**3 - u. Let q(o) = -o**3 + 15*o**2 + 10*o. Let b(s) = -2*a(s) + q(s). Let b(l) = 0. What is l?
-4, -1, 0
Let u = 214576/7 + -30652. Factor -39/7*s**2 - 3*s**4 + 45/7*s**3 + 0 + u*s + 3/7*s**5.
3*s*(s - 4)*(s - 1)**3/7
Let o(s) = 21*s - 397. Let f be o(19). Factor -3 - 1/3*b**f - 2*b.
-(b + 3)**2/3
Let s be -9 - -640 - (2 + 0 + -1). Let d be (-1)/((-9)/2) - (-40)/s. Find n, given that -8/7*n**2 - 10/7*n - d*n**3 - 4/7 = 0.
-2, -1
Let n be (154/14 + 375/(-35))*14/6. Determine t, given that -n*t**2 + 8/3*t + 8/3 - 2/3*t**3 = 0.
-2, -1, 2
Factor 0 - 16/5*j**2 - 2/5*j**3 + 18/5*j.
-2*j*(j - 1)*(j + 9)/5
Let m(x) be the first derivative of -8 - 4*x + 1/10*x**3 - 1/20*x**4 + 3/5*x**2. Let a(w) be the first derivative of m(w). Suppose a(z) = 0. What is z?
-1, 2
Let g be (-8)/(-48) + 869/1122. Suppose -120/17*l**2 + 108/17*l**3 - 26/17*l**4 + 0 + g*l = 0. What is l?
0, 2/13, 2
Let g(z) be the second derivative of z**5/240 - z**4/48 - z**3/8 - z**2/2 - 3*z. Let o(i) be the first derivative of g(i). Factor o(d).
(d - 3)*(d + 1)/4
Factor 839*s**2 - 12 - 4*s**3 + 4*s + 827*s**2 - 1654*s**2.
-4*(s - 3)*(s - 1)*(s + 1)
Let z(k) = -2*k**2 + 48*k + 165. Let v be z(27). Factor 0 - v*q**3 + 7/3*q**2 + 2/3*q.
-q*(q - 1)*(9*q + 2)/3
Suppose -5*z + 28 = 6*h - 2*h, -5*h = -4*z - 35. Factor -h*p + 2*p**3 - p**3 + 6*p**2 + p**3 - p**3.
p*(p - 1)*(p + 7)
Let p(j) = 4*j**3 + 5*j**2 - 14*j + 1. Let g be p(6). Factor g*w**2 - 4 + 22*w + 8 + 102*w.
(31*w + 2)**2
Solve -8*v**3 - 146*v + 10*v + 2*v**4 + 90*v**2 - 26*v + 108 + 9*v**3 - 23*v**3 = 0 for v.
2, 3
Suppose -5*d - 10 = -10*d. Factor -2*b**2 + b**4 - 32*b**3 + 30*b**3 + 3*b**d.
b**2*(b - 1)**2
Let d(v) be the first derivative of -2*v**3/3 - 10*v**2 - 32*v + 103. Suppose d(u) = 0. What is u?
-8, -2
Let n(m) be the third derivative of -7*m**5/300 - 17*m**4/12 - 8*m**3/5 + m**2 + 9. Suppose n(k) = 0. What is k?
-24, -2/7
Suppose -s = -0*x + x - 15, -2*x = -4*s + 72. Suppose -12 - 6 = -2*k - 2*h, -5*h + s = -2*k. Factor -2/3*r**2 + 2/3*r**k + 0 - 2/3*r**3 + 2/3*r**5 + 0*r.
2*r**2*(r - 1)*(r + 1)**2/3
Suppose 0 = -3*i - i + 24. Let t be 1/2 - (6 - i). Factor 0*k + 0*k**2 + 0 - t*k**3.
-k**3/2
Solve 26/5*s - 10*s**2 - 4/5*s**3 + 0 = 0.
-13, 0, 1/2
Let t = -259 - -263. Let d(l) be the second derivative of 0 - 1/126*l**7 + 1/30*l**6 - 1/20*l**5 + 0*l**2 + 7*l + 1/36*l**t + 0*l**3. What is j in d(j) = 0?
0, 1
Factor -2*q**3 - 59*q**2 - 28*q**2 - 4*q**3 + 3*q**3 + 183*q - 93.
-3*(q - 1)**2*(q + 31)
Let v = 1 - -1. Let -59 - 21*r**v + 15*r**3 + 9 - 8*r**2 - 21*r**2 - 115*r = 0. Calculate r.
-1, -2/3, 5
Suppose 320*s = 329*s. Factor 0*x**2 + 1/3*x**4 + s + 0*x + 1/6*x**5 + 1/6*x**3.
x**3*(x + 1)**2/6
Find t, given that -49*t**2 - 1600 + 1378*t - 32*t**2 + 510*t + t**3 - 208*t = 0.
1, 40
Suppose 22*v - 12*v - 40 = 0. Let d be (13/(-3) + v)/(-1). Find r, given that 4/3*r**2 + d + 5/3*r = 0.
-1, -1/4
Let -2/15*o**2 + 112/15 - 52/15*o = 0. Calculate o.
-28, 2
Let v(g) = 9*g**4 - 132*g**3 - 132*g**2 + 12*g. Let l(k) = 2*k**4 - k**3 + 4*k. Let b(r) = -3*l(r) + v(r). Factor b(p).
3*p**2*(p - 44)*(p + 1)
Suppose -10*i - 12/7 - 2*i**4 - 74/7*i**3 - 118/7*i**2 = 0. What is i?
-3, -1, -2/7
Let s(y) be the first derivative of 0*y**2 + 8*y + 17 - 2/3*y**3. Factor s(k).
-2*(k - 2)*(k + 2)
Let u(k) = -k**2 + k - 1. Let w(q) = 39*q - 3 - 6*q**2 + 17 - 1. Let j(z) = -u(z) - w(z). Determine p so that j(p) = 0.
-2/7, 6
Let l(v) be the first derivative of 1/3*v**4 + 0*v + 0*v**2 + 2/15*v**5 + 9 - 2/3*v**3. Determine h, given that l(h) = 0.
-3, 0, 1
Let i(j) = 2*j**2 - 4*j + 3. Let c be i(2). Let g be -3 - c*(-3 + 2) - 0. Factor 2/9*p**3 + g*p + 0 + 4/9*p**2.
2*p**2*(p + 2)/9
Let j = -36 - -58. Let n = 24 - j. Determine l, given that l**3 + 31*l - 4*l**2 + l**n - 29*l = 0.
0, 1, 2
Let i(q) be the third derivative of -q**6/360 + 11*q**5/90 + 47*q**4/72 + 4*q**3/3 - 311*q**2. Suppose i(u) = 0. Calculate u.
-1, 24
Let a(f) be the first derivative of -f**6/2 + 24*f**5/5 + 63*f**4/4 - 8*f**3 - 30*f**2 - 1040. Solve a(q) = 0 for q.
-2, -1, 0, 1, 10
Factor -15/4*x**2 - 3/4*x**4 + 0*x + 9/2*x**3 + 0.
-3*x**2*(x - 5)*(x - 1)/4
Factor 149/4*d + 75/2 - 1/4*d**2.
-(d - 150)*(d + 1)/4
Let q(z) be the second derivative of 0 - 1/48*z**4 + 0*z**2 + 1/24*z**3 + 1/120*z**6 + 23*z - 1/80*z**5. Solve q(j) = 0.
-1, 0, 1
Let i = 24 + -15. Suppose -8*w = -i*w. Factor -2/5*p**2 + w + 2/5*p.
-2*p*(p - 1)/5
Let w(s) = -s**3 - 62*s**2 - 286*s - 54. Let z be w(-57). Solve 1/7*x**z + 3/7*x**2 + 0*x - 4/7 = 0 for x.
-2, 1
Let v be (40/15)/(245/105). Solve 0*d + v*d**2 + 0 + 12/7*d**3 - 4/7*d**5 + 0*d**4 = 0.
-1, 0, 2
Solve -16/5 - 1/5*c**4 - 6/5*c**3 + 24/5*c - 1/5*c**2 = 0 for c.
-4, 1
Let t(u) be the third derivative of -17*u**2 + 1/150*u**6 + 0*u**4 + 0 - 1/25*u**5 + 0*u + 8/15*u**3. Factor t(p).
4*(p - 2)**2*(p + 1)/5
Let f be 144/(-56)*(-28)/30. Let w be -2 + 12/(76/16 - 1). Determine h, given that -w*h**4 - 63/5*h**2 - f - 48/5*h - 33/5*h**3 = 0.
-2, -1, -1/2
Factor -1/5*f**2 + 0*f + 36/5.
-(f - 6)*(f + 6)/5
Let d be (656/(-820))/(1/(-5)). Factor 2/3*j**2 + 2*j**3 + 4/3*j**d + 0*j + 0.
2*j**2*(j + 1)*(2*j + 1)/3
Let d(b) = -b**2 + 5*b + 4. Let l be d(5). Let g be 7/(-14) - (-2 + (-2)/l). Determine u so that -18*u**g - 18*u - 2/3*u**4 + 0 - 6*u**3 = 0.
-3, 0
Factor -18*m**4 + 23*m + 27*m - m**2 - 26*m**3 + 23*m**4 - 4*m**2 - 24*m**3.
5*m*(m - 10)*(m - 1)*(m + 1)
Let b be (1 - 180/175)*(-1090)/51. Let v = -2/51 + b. Factor 2/7*c**5 + 4/7*c**2 + 2/7*c - 2/7*c**4 - 2/7 - v*c**3.
2*(c - 1)**3*(c + 1)**2/7
Let v(g) = -g**3 + 9*g**2 + 24*g - 20. Let b be v(11). What is y in 3*y**4 + 30*y**b + 3*y**3 - 21*y**2 - 15*y**2 = 0?
-2, 0, 1
Let s(x) be the third derivative of 3*x**8/56 + x**7/15 - x**6/30 - 125*x**2. Factor s(r).
2*r**3*(r + 1)*(9*r - 2)
Suppose 3*z - 150 = 3*g, z - 5*g - 38 = 20. What is y in 10*y**3 + 5*y**3 - 64*y**2 - 2*y**3 - z*y - y**3 = 0?
-2/3, 0, 6
Let w(h) = 2*h**5 - 6*h**4 + 2*h**2 - 6*h. Let j(y) = -2*y**5 + 5*y**4 + y**3 - y**2 + 5*y. Let t(m) = 