56/9*j**4 + 40/9*j**3 - 7*j**2 + 0 + 2*j. Determine d, given that k(d) = 0.
-10, -2/11
Let j(f) be the third derivative of -f**8/84 + 2*f**7/15 - 3*f**6/5 + 4*f**5/3 - 4*f**4/3 + 2468*f**2. Factor j(k).
-4*k*(k - 2)**3*(k - 1)
Let p(n) = 64*n**4 + 1439*n**3 - 2905*n**2 + 1442*n - 10. Let i(x) = -308*x**4 - 7196*x**3 + 14524*x**2 - 7212*x + 48. Let o(t) = 5*i(t) + 24*p(t). Factor o(v).
-4*v*(v - 1)**2*(v + 363)
Let 106*y**3 - 2068*y**2 + 118*y**2 + 4*y**4 - y**4 - 741*y**3 + 2*y**4 = 0. What is y?
-3, 0, 130
Let s be (-4)/5 - ((-805)/25)/(-1). Let z be 110/s + 3 - 1/(-3). Suppose z*v + 2/11*v**2 - 2/11*v**4 + 0 + 0*v**3 = 0. Calculate v.
-1, 0, 1
Let m(j) be the first derivative of 16/3*j**3 + 150*j**2 - 76*j + 57. Factor m(f).
4*(f + 19)*(4*f - 1)
Let t = 11908/7 + -1704. Let u = t - -121/35. Factor -u*c + 3/5*c**2 + 0.
3*c*(c - 1)/5
Let i(l) be the second derivative of 2*l**6/5 + 2*l**5/5 - 4*l**4 - 16*l**3/3 + 2*l + 211. Factor i(c).
4*c*(c - 2)*(c + 2)*(3*c + 2)
Let n(t) be the third derivative of 2/9*t**3 + 1/90*t**5 + 56*t**2 + 0*t + 1/12*t**4 + 2. Solve n(l) = 0 for l.
-2, -1
Let o(i) = -2*i**3 - i**2 - 12*i - 3*i**2 + 2*i**2 + 11*i. Let g be o(-1). Suppose -s**3 + 34*s + 24*s + s**2 - g - 57*s = 0. What is s?
-1, 1
Let r be ((-1)/(-4))/(341/1716 + (-12)/104). Factor -2/11*l**4 - 68/11*l**r + 2584/11*l - 2888/11 - 426/11*l**2.
-2*(l - 2)**2*(l + 19)**2/11
Let z = -92 + 102. Factor 3*y**2 - z - 93*y + 98*y + 2*y**2.
5*(y - 1)*(y + 2)
Let z(i) be the third derivative of i**5/300 - 104*i**4/15 - 11*i**2 + i + 11. Factor z(h).
h*(h - 832)/5
Let l(f) = -4*f - 3. Let n be l(-3). Suppose 2*t = n + 1. Factor 6*u**3 + 0*u + 3 - 3*u**4 + u + t*u - 12*u.
-3*(u - 1)**3*(u + 1)
Let -105*c + 210*c**2 - 102*c - 5*c**3 + 337*c - 130*c = 0. Calculate c.
0, 42
Factor 3/7*p**2 + 6936/7*p + 4009008/7.
3*(p + 1156)**2/7
Suppose -257 = -5*w - 327. Let u be ((-28)/98)/(8/w). Factor 1/4*h + 1/2*h**2 - u - 1/4*h**3.
-(h - 2)*(h - 1)*(h + 1)/4
Factor -11*y**3 - 165*y**2 - 315*y - 155 - 14*y**3 - 7*y**3 - 10*y**3 + 37*y**3.
-5*(y + 1)**2*(y + 31)
Let m(z) = z**3 + 2*z**2 - 4*z - 2. Let h(a) = a**3 + 2*a**2 - 5*a - 2. Let q = 12 + -7. Suppose q*o = 4*o + 4. Let x(y) = o*m(y) - 3*h(y). Factor x(p).
(p - 1)*(p + 1)*(p + 2)
Let b(q) = -q**3 + q + 2. Suppose 3084*r - 3083*r = 3. Let w(s) = -7*s**3 - 8*s**2 + 7*s + 14. Let p(t) = r*b(t) - w(t). Factor p(m).
4*(m - 1)*(m + 1)*(m + 2)
Let p = 176947 - 884733/5. Factor -p*j**2 + 0 - 3/5*j + 1/5*j**3.
j*(j - 3)*(j + 1)/5
Let w(a) = -a**2 + 224*a + 915. Let c be w(-4). Let q(b) be the second derivative of 0 - 1/6*b**4 - 4*b**2 - 28*b - 4/3*b**c. Determine p so that q(p) = 0.
-2
Suppose 12*r - 72 = 8*r + 16*g, 3*g = -5*r + 21. Let u(t) be the first derivative of 44 - 1/2*t**4 + 10/3*t**3 + r*t - 7*t**2. Factor u(j).
-2*(j - 3)*(j - 1)**2
Suppose 0 = 4*h - 12, -j + 3*h = -4*j + 18. Factor 28*b + 0*b + 16 + 2*b**j + 103*b**2 - 89*b**2.
2*(b + 1)*(b + 2)*(b + 4)
Suppose -2*g + 3*r - 4 = -3, 0 = g + 3*r - 13. Find o, given that -111*o**2 + 16*o**3 + 47*o**2 + 56*o**2 - 12*o - g*o**5 + 8*o**4 = 0.
-1, 0, 1, 3
Let x(y) be the second derivative of 3/5*y**3 - 1/30*y**4 + 112*y + 0 - 4*y**2. Determine u, given that x(u) = 0.
4, 5
Suppose -1/4*p**2 + 185*p + 741/4 = 0. What is p?
-1, 741
Let p = -2/13587 - -7766/13587. Factor 0 - 2/7*s**2 + p*s.
-2*s*(s - 2)/7
Let s = -6423 - -6424. Let t(w) be the first derivative of 3/2*w + s + 0*w**2 - 1/2*w**3. Factor t(l).
-3*(l - 1)*(l + 1)/2
Let d(k) = -17*k**2 + 1344*k - 22459. Let q be d(24). Factor 1/8*v**q - 1/4*v**2 + 1/4*v**4 - 1/8*v**3 + 0 + 0*v.
v**2*(v - 1)*(v + 1)*(v + 2)/8
Factor 412*j**4 + 66*j**3 - 823*j**4 + 168*j**3 + 5355*j**2 + 414*j**4 + 29400*j.
3*j*(j + 8)*(j + 35)**2
Let x be ((-3)/4)/(-1) - (210/(-28))/(78/13). Find j such that 150*j**4 - 420*j**3 - 1377/2*j**x - 249/2*j - 6 = 0.
-1, -1/10, 4
Let c be 18/189*133 + -14 + 2. Determine q so that -4/3*q**3 + c*q**4 + 8/3*q + 8/3 - 2*q**2 = 0.
-1, 2
Let h = 122 - 129. Let l be (0 - 3750/8)*4/h. Solve 750*i**4 - l*i**5 - 3450/7*i**3 + 6/7 + 960/7*i**2 - 123/7*i = 0 for i.
1/5, 2
Let o(z) be the second derivative of z**8/112 - 2*z**7/35 + z**6/8 - z**5/10 + 35*z**2/2 + 88*z. Let y(u) be the first derivative of o(u). Factor y(p).
3*p**2*(p - 2)*(p - 1)**2
Suppose 52*a = 65*a + 5109. Let f be ((-131)/a)/((-13)/(-96)). Find l, given that 4/13*l**3 - f*l**2 + 20/13*l**4 + 2/13*l + 12/13 - 6/13*l**5 = 0.
-1, -2/3, 1, 3
Factor 27/4*h**2 + 1/8*h**3 + 0 + 0*h.
h**2*(h + 54)/8
Let m(d) be the third derivative of -d**8/2184 - 73*d**7/273 - 6983*d**6/156 - 19653*d**5/26 - 72090*d**4/13 - 285156*d**3/13 + 11*d**2 - 2*d + 16. Factor m(i).
-2*(i + 3)**3*(i + 178)**2/13
Let q(r) = -12*r**3 - 23*r**2 - 21*r + 9. Let a(o) = o**3 + 2*o**2 - o + 3. Let g(i) = 26*a(i) + 2*q(i). Determine v, given that g(v) = 0.
-8, 2, 3
Factor 261*g + 1/8*g**3 + 83/8*g**2 + 1782.
(g + 11)*(g + 36)**2/8
Let y = 530939/11 - 48267. Find x such that 0 - y*x + 2/11*x**3 + 0*x**2 = 0.
-1, 0, 1
Let i be (-4)/4*-2 - 87. Let r be ((-17)/i)/((-8)/(-10)). Factor -r*w**3 - 1/4*w + 0 + 1/2*w**2.
-w*(w - 1)**2/4
Let s(h) be the second derivative of -h**4/78 + 18*h**3/13 + 1260*h. Factor s(r).
-2*r*(r - 54)/13
Let t(a) be the second derivative of -a**6/30 - 9*a**5/20 - 11*a**4/6 + 16*a**2 + 706*a. Find i such that t(i) = 0.
-4, -2, 1
Let o(r) = 3*r**2 + 28*r + 43. Let x be (-12)/10*-2 + (-2)/5. Let q(c) = c**2 + 9*c + 14. Let y(i) = x*o(i) - 7*q(i). Factor y(s).
-(s + 3)*(s + 4)
Let j(k) = -37*k**2 + 1237*k + 3. Let b(t) = -196*t**2 + 6188*t + 16. Let r(u) = 3*b(u) - 16*j(u). Factor r(z).
4*z*(z - 307)
Suppose -336 + 15*x + 2*x**2 - 2*x**2 + 34*x + 43*x - 2*x**2 = 0. What is x?
4, 42
Let x = -56 - -86. Suppose -4 = -32*r + x*r. Factor -2*q**r + 2*q**4 - 502 + 0*q + 502 + q - q**5.
-q*(q - 1)**3*(q + 1)
Let z be 1 - (34/(-5) + 6 - (-1448)/(-440)). Let -16/11 - 10/11*i**3 - z*i - 4*i**2 = 0. What is i?
-2, -2/5
Suppose 3*o = -2*s - 18, 5*o + 0*s = 4*s - 8. Let k(t) = -t + 2. Let c be k(o). Factor c + 3*h**2 + 12 - 19*h + 4*h.
3*(h - 3)*(h - 2)
Let c(v) = -v**3 + v**2. Let q(d) = d**2 - 3*d + 1. Let f(r) = -c(r) - q(r). Let o be f(3). Factor 7 + 9*p - o - 3*p**2 + 4.
-3*(p - 2)*(p - 1)
Let h(v) = -4407*v**3 - 1704*v**2 - 18*v + 18. Let m(t) = -7*t**3 - 3*t**2 + 2. Let d(u) = -h(u) + 9*m(u). Solve d(n) = 0 for n.
-3/8, -2/181, 0
Determine o so that -7/6*o - 7/3*o**2 + 4/3*o**3 + 5/3 + 2/3*o**4 - 1/6*o**5 = 0.
-2, -1, 1, 5
Let y(x) = -2*x**3 + 3*x**2 + 24*x + 21. Let p be y(-1). Factor -47/2*h - h**p - 23/2.
-(h + 23)*(2*h + 1)/2
Let i(w) = -16*w - 48. Let v be i(-5). Suppose -3*n - 4*j = -29, 0*j - 4*j = 4*n - v. Factor -2/11 - 2/11*y**n - 6/11*y**2 - 6/11*y.
-2*(y + 1)**3/11
Let a(k) be the first derivative of -5/3*k**3 - 4 - 5/2*k**2 + 30*k. Factor a(z).
-5*(z - 2)*(z + 3)
Determine p so that p**5 - 113/4*p**4 + 533/4*p**2 + 146*p**3 - 42*p + 0 = 0.
-1, 0, 1/4, 8, 21
Let w(u) = 2*u**4 - 3*u**3 - u - 1. Let h(j) = -44*j**4 + 1032*j**3 - 2172*j**2 + 1460*j - 222. Let q(y) = -2*h(y) - 36*w(y). What is z in q(z) = 0?
1/4, 1, 120
Let v(h) be the third derivative of h**6/40 - 7*h**5/30 + 5*h**4/8 - 2716*h**2. Factor v(w).
w*(w - 3)*(3*w - 5)
Let b(q) = 15*q**2 + 388*q - 1277. Let i(r) = -16*r**2 - 388*r + 1284. Let a(m) = -12*b(m) - 11*i(m). Factor a(s).
-4*(s - 3)*(s + 100)
Let d(p) be the third derivative of 1/810*p**6 + 0 - 9*p**2 + 0*p + 23/6*p**3 - 1/27*p**4 + 1/270*p**5. Let w(y) be the first derivative of d(y). Factor w(a).
4*(a - 1)*(a + 2)/9
Factor 14*w**2 - 12*w**2 + 44 - 78 - 128.
2*(w - 9)*(w + 9)
Let i = 71 + -56. Suppose -i*d = 74*d - 13*d. Let -3/4*f**2 + 0 + d*f + 7/4*f**4 + 5/4*f**5 - 1/4*f**3 = 0. What is f?
-1, 0, 3/5
Suppose -1324*o + 1334*o = -140. Let h be ((-4)/o)/((-1)/(-63)*6). Let 2/5 + 2/15*n**2 - 2/15*n**h + 2/3*n = 0. What is n?
-1, 3
Let m(f) be the third derivative of -f**5/180 + 87*f**4/4 - 68121*f**3/2 - 51*f**2 - 15*f. Factor m(j).
-(j - 783)**2/3
Let t(n) = -n**2 - 25*n - 47. Let b be t(-22). Factor -x**5 + 14*x**3 + 0 - 114*x**2 - 5 - x**4 + b*x + 88*x**2.
-(x - 1)**4*(x + 5)
Determine g so that 49 - 66*g + 1268*g**4 - 9 - 164*g**3 - 36*g - 1259*g**4 - 315*g**2 = 0.
-1, 2/9, 20
Let s(x) be the second derivative of 5*x + 2/45*x**6 + 0*x**4 + 0*x**3 +