3/3 + 134*n**2/3 - 128*n/3 - 88.
-2*(n - 66)*(n - 2)*(n + 1)/3
Suppose -r**2/7 - 2*r + 15/7 = 0. Calculate r.
-15, 1
Factor 397535*j**3 - 138675*j**2 + 16125*j - 625.
5*(43*j - 5)**3
Solve 12*b**3/7 - 4*b**2/7 = 0.
0, 1/3
Determine u, given that -2*u**4 + 48*u**3/7 - 10*u**2/7 - 24*u/7 = 0.
-4/7, 0, 1, 3
Let 2*j**5/5 + 244*j**4/5 + 1968*j**3 + 127756*j**2/5 - 137842*j/5 = 0. What is j?
-41, 0, 1
Determine d, given that 3*d**5/7 + 72*d**4/7 + 522*d**3/7 + 96*d**2 - 459*d + 1944/7 = 0.
-9, -8, 1
Factor 2*w**2/7 + 1024*w/7 + 131072/7.
2*(w + 256)**2/7
Solve -14*z**2/11 + 162*z/11 + 16 = 0.
-1, 88/7
Suppose 300*i**5 - 2565*i**4 - 1392*i**3 + 1593*i**2 + 12*i - 108 = 0. Calculate i.
-1, -1/4, 2/5, 9
Find a such that 5*a**3 + 165*a**2 + 970*a - 2640 = 0.
-24, -11, 2
Factor 9*y**2 - 309*y - 210.
3*(y - 35)*(3*y + 2)
Factor 4*u**4 - 28*u**2 + 24*u.
4*u*(u - 2)*(u - 1)*(u + 3)
Solve -g**4/11 + 7*g**3/11 + 3*g**2/11 - 19*g/11 - 14/11 = 0 for g.
-1, 2, 7
Factor 45*n**3 + 205*n**2 - 600*n - 1260.
5*(n - 3)*(n + 6)*(9*n + 14)
Determine h, given that 3*h**5 + 4*h**4 - 89*h**3 - 246*h**2 - 72*h = 0.
-4, -3, -1/3, 0, 6
Factor 363*c**3/5 - 9*c**2/5.
3*c**2*(121*c - 3)/5
Suppose 2*i**4 + 18*i**3 - 30*i**2 - 322*i + 588 = 0. What is i?
-7, 2, 3
Factor -2*v**2/7 + 18*v + 536/7.
-2*(v - 67)*(v + 4)/7
Suppose -5*v**3/2 + 135*v**2/2 - 185*v + 120 = 0. What is v?
1, 2, 24
What is f in 4*f**4/3 - 44*f**3/3 + 41*f**2/3 - 10*f/3 = 0?
0, 1/2, 10
Find v, given that 4*v**4 + 4*v**3 - 104*v**2 + 96*v = 0.
-6, 0, 1, 4
Factor -p**3/5 - 489*p**2/5 + 197*p + 1473/5.
-(p - 3)*(p + 1)*(p + 491)/5
Factor -a**3/6 + 11*a**2/6 + a/6 - 11/6.
-(a - 11)*(a - 1)*(a + 1)/6
Factor -s**2/2 - 5*s - 9/2.
-(s + 1)*(s + 9)/2
Factor 2*x**3/13 + 2*x**2/13 - 16*x/13 - 24/13.
2*(x - 3)*(x + 2)**2/13
What is z in -2*z**2/3 - 28*z/3 + 138 = 0?
-23, 9
Factor 5*t**2 + 300*t + 4500.
5*(t + 30)**2
Factor -2*i**3 + 28*i**2 + 62*i + 32.
-2*(i - 16)*(i + 1)**2
Factor 3*v**2 + 1254*v + 131043.
3*(v + 209)**2
Factor -10*b**2/13 + 864*b/13 - 344/13.
-2*(b - 86)*(5*b - 2)/13
Find c, given that -12*c**5 + 56*c**4 - 52*c**3 - 24*c**2 = 0.
-1/3, 0, 2, 3
Factor 2*z**3/9 - 16*z**2/9 + 34*z/9 - 20/9.
2*(z - 5)*(z - 2)*(z - 1)/9
Factor -2*g**5 - 36*g**4 + 164*g**3 - 256*g**2 + 174*g - 44.
-2*(g - 1)**4*(g + 22)
What is c in -4*c**4 - 472*c**3 - 14384*c**2 - 26912*c = 0?
-58, -2, 0
Factor -3*q**3 - 4005*q**2 - 8001*q - 3999.
-3*(q + 1)**2*(q + 1333)
Determine x so that 7*x**5/5 + 89*x**4/5 - 47*x**3/5 - 253*x**2/5 + 256*x/5 - 52/5 = 0.
-13, -2, 2/7, 1
What is m in -3*m**3/4 - 597*m**2/2 - 1185*m - 1182 = 0?
-394, -2
Factor -2*n**2/9 - 154*n/9.
-2*n*(n + 77)/9
Factor 2*c**3/7 + 20*c**2/7 - 32*c - 512/7.
2*(c - 8)*(c + 2)*(c + 16)/7
Factor -c**2/8 + 241*c/2 + 965/8.
-(c - 965)*(c + 1)/8
Factor -2*w**2 - 7*w/2 - 3/2.
-(w + 1)*(4*w + 3)/2
Factor -3*i**2 - 18*i + 48.
-3*(i - 2)*(i + 8)
Find v, given that -5*v**2/4 + 225*v/4 + 115/2 = 0.
-1, 46
Suppose a**5/2 - 4*a**4/3 + a**3 - a/6 = 0. What is a?
-1/3, 0, 1
Factor -2*g**4/13 + 50*g**3/13 - 138*g**2/13 + 134*g/13 - 44/13.
-2*(g - 22)*(g - 1)**3/13
Suppose 4*b**4 - 188*b**3 - 12*b**2 + 556*b + 376 = 0. What is b?
-1, 2, 47
Find a, given that -2*a**4 + 2*a**3 + 8*a**2 - 8*a = 0.
-2, 0, 1, 2
Determine g, given that -g**4/2 - 2*g**3 + 358*g**2 + 720*g - 64800 = 0.
-20, 18
Determine d, given that d**5/4 + d**4 - 9*d**3/4 - 8*d**2 + 7*d + 12 = 0.
-4, -3, -1, 2
Factor -3*a**5 - 216*a**4 + 7518*a**3 - 84084*a**2 + 404397*a - 720300.
-3*(a - 7)**4*(a + 100)
Suppose 5*o**5 - 60*o**4 + 205*o**3 - 190*o**2 - 180*o + 280 = 0. Calculate o.
-1, 2, 7
Factor -3*g**4 - 45*g**3 - 36*g**2 + 84*g.
-3*g*(g - 1)*(g + 2)*(g + 14)
Find n such that -3*n**4 + 4662*n**3 - 1811187*n**2 = 0.
0, 777
Factor 3*l**3 + 90*l**2 + 231*l - 324.
3*(l - 1)*(l + 4)*(l + 27)
Determine q, given that 45*q**5 + 405*q**4 - 485*q**3 - 325*q**2 + 260*q + 100 = 0.
-10, -2/3, -1/3, 1
Factor l**5 + 7*l**4 + 18*l**3 + 22*l**2 + 13*l + 3.
(l + 1)**4*(l + 3)
Factor -3*j**3/4 - 57*j**2/4 - 129*j/2 - 78.
-3*(j + 2)*(j + 4)*(j + 13)/4
Determine t, given that -3*t**4 + 27*t**3 - 21*t**2 - 135*t - 84 = 0.
-1, 4, 7
Let 2*u**4/9 + 4*u**3/9 - 22*u**2/9 - 8*u/3 = 0. Calculate u.
-4, -1, 0, 3
Factor 5*h**5/6 + 35*h**4/6 - 45*h**3/2 + 145*h**2/6 - 25*h/3.
5*h*(h - 1)**3*(h + 10)/6
Let n**4 + 68*n**3 - 432*n**2 + 880*n - 592 = 0. Calculate n.
-74, 2
Factor a**4 + 22*a**3 + 57*a**2 - 4*a - 76.
(a - 1)*(a + 2)**2*(a + 19)
Let -g**5 - 8*g**4 - 9*g**3 + 22*g**2 + 20*g - 24 = 0. Calculate g.
-6, -2, 1
Factor -4*b**2 + 21728*b - 29506624.
-4*(b - 2716)**2
Factor m**4/2 - 6*m**3 + 23*m**2 - 30*m + 25/2.
(m - 5)**2*(m - 1)**2/2
Factor o**5 - 3*o**4 + 4*o**2.
o**2*(o - 2)**2*(o + 1)
Suppose 3*o**3 - 7*o**2 - 2*o + 8 = 0. Calculate o.
-1, 4/3, 2
Factor -2*y**3/9 + 56*y**2/9 - 200*y/9 + 64/3.
-2*(y - 24)*(y - 2)**2/9
Suppose 2*a**3 - 52*a**2 + 182*a - 132 = 0. What is a?
1, 3, 22
Find t such that t**2/7 - 27*t + 188/7 = 0.
1, 188
Factor 3*o**4 + 504*o**3 + 28224*o**2 + 526848*o.
3*o*(o + 56)**3
Let -8*v**3/9 - 98*v**2/9 + 26*v/3 = 0. Calculate v.
-13, 0, 3/4
Factor 1458*k**2/5 - 540*k + 250.
2*(27*k - 25)**2/5
Factor 2*i**5 + 6*i**4 - 2*i**3 - 6*i**2.
2*i**2*(i - 1)*(i + 1)*(i + 3)
Solve n**4 + 2*n**3 - 52*n**2 - 8*n + 192 = 0 for n.
-8, -2, 2, 6
Determine r, given that -r**5 - 2*r**4 + 3*r**3 + 8*r**2 + 4*r = 0.
-2, -1, 0, 2
Find x, given that -242*x**5 - 682*x**4 - 640*x**3 - 200*x**2 = 0.
-1, -10/11, 0
Factor 2*u**2/7 + 3628*u/7 + 1645298/7.
2*(u + 907)**2/7
Factor -2*t**2 + 80*t - 78.
-2*(t - 39)*(t - 1)
Factor b**3/4 - 13*b**2/4 - 29*b/4 - 15/4.
(b - 15)*(b + 1)**2/4
Factor -4*x**3 - 72*x**2 + 556*x - 480.
-4*(x - 5)*(x - 1)*(x + 24)
Factor 2*l**3 - 3632*l**2.
2*l**2*(l - 1816)
Determine o so that -o**2/8 + 3*o/8 - 1/4 = 0.
1, 2
Solve -2*c**2/21 + 152*c/21 + 104/7 = 0 for c.
-2, 78
Let -3*y**4 - 24*y**3 + 69*y**2 + 90*y = 0. Calculate y.
-10, -1, 0, 3
What is y in 5*y**3 - 290*y**2 + 545*y + 840 = 0?
-1, 3, 56
Factor 3*x**2 + 189*x - 390.
3*(x - 2)*(x + 65)
Solve 54*k**5/11 - 246*k**4/11 - 92*k**3/11 + 88*k**2 - 496*k/11 + 64/11 = 0.
-2, 2/9, 1/3, 2, 4
What is i in -i**4/6 + 1352*i**3 - 4112784*i**2 + 5560483968*i - 2819165371776 = 0?
2028
What is w in w**3/2 + 11*w**2 + 20*w = 0?
-20, -2, 0
Factor 2*f**2 - 4*f - 70.
2*(f - 7)*(f + 5)
Find d, given that -2*d**5/13 + 6*d**3/13 + 4*d**2/13 = 0.
-1, 0, 2
Factor -p**2/2 + 9*p/2 + 5.
-(p - 10)*(p + 1)/2
Factor -3*w**3/5 - 297*w**2 - 49005*w - 2695275.
-3*(w + 165)**3/5
Factor 3*p**2/5 - 432/5.
3*(p - 12)*(p + 12)/5
Factor 2*c**2/11 + 20*c/11 + 18/11.
2*(c + 1)*(c + 9)/11
Suppose 6*q**4/5 - 1284*q**3/5 + 94392*q**2/5 - 514188*q + 13797378/5 = 0. Calculate q.
7, 69
Factor 2*q**2 + 148*q + 2090.
2*(q + 19)*(q + 55)
Let -b**3 + 27*b - 54 = 0. What is b?
-6, 3
Determine t, given that 4*t**5 - 233*t**4 + 58*t**3 = 0.
0, 1/4, 58
Factor 3*g**5 - 3*g**4 - 36*g**3 + 48*g**2 + 96*g - 144.
3*(g - 2)**3*(g + 2)*(g + 3)
What is z in 3*z**3/7 - 33*z**2/7 - 402*z/7 + 432/7 = 0?
-8, 1, 18
Find g such that g**3/2 + 28*g**2 + 485*g/2 + 575 = 0.
-46, -5
Solve c**2/6 - 3*c/2 + 10/3 = 0 for c.
4, 5
Factor 1682*x**2/9 + 1276*x/9 + 242/9.
2*(29*x + 11)**2/9
Factor 2*t**2/13 + 24*t/13 + 54/13.
2*(t + 3)*(t + 9)/13
Find a such that a**3/3 - 349*a**2/3 + 10208*a - 10092 = 0.
1, 174
Find m, given that m**4/2 + 3*m**3 + 2*m**2 - 3*m - 5/2 = 0.
-5, -1, 1
What is m in 5*m**5 - 735*m**4 + 26630*m**3 + 28860*m**2 - 54760*m = 0?
-2, 0, 1, 74
Suppose -7*p**3 - 9805*p**2 + 12616*p - 2804 = 0. Calculate p.
-1402, 2/7, 1
Find f such that 21717639*f**3/2 + 233523*f**2 + 1674*f + 4 = 0.
-2/279
Let 8*u**4 - 104*u**3 + 274*u**2 + 356*u + 96 = 0. What is u?
-1/2, 6, 8
What is s in -5*s**4/2 + 90*s**3 + 285*s**2 + 290*s + 195/2 = 0?
-1, 39
Solve -o**3 - 9*o**2 - 18*o = 0 for o.
-6, -3, 0
What is w in -5*w**3 + 200*w**2 + 420*w = 0?
-2, 0, 42
Factor 5*w**3 - 105*w**2 - 810*w.
5*w*(w - 27)*(w + 6)
Factor -r**2/9 + 2*r/9.
-r*(r - 2)/9
Factor 65*n**2 - 310*n - 75.
5*(n - 5)*(13*n + 3)
Factor -v**2/4 - 6*v - 23/4.
-(v + 1)*(v + 23)/4
Factor 2*u**2 - 180*u - 1568.
2*(u - 98)*(u + 8)
Solve -2*n**2/5 - 58*n/5 - 84 = 0 for n.
-15, -14
Find g such that -6*g**5 + 21*g**4 + 45*g**3 + 3*g**2 - 15*g = 0.
-1, 0, 1/2, 5
Factor -4*n**2 + 2072*n - 268324.