 + 48.
4*(j + 2)*(j + 6)
Factor 5*b**3 + 20*b**2 + 15*b.
5*b*(b + 1)*(b + 3)
Factor -21*w**3 - 561*w**2 + 750*w - 168.
-3*(w - 1)*(w + 28)*(7*w - 2)
Solve r**2 + 16*r + 55 = 0 for r.
-11, -5
Factor -4*w**4 + 88*w**3 - 660*w**2 + 1872*w - 1296.
-4*(w - 9)*(w - 6)**2*(w - 1)
Factor g**4 + 106*g**3 + 3960*g**2 + 58806*g + 251559.
(g + 7)*(g + 33)**3
Factor -2*a**5/7 + 68*a**4/7 - 578*a**3/7.
-2*a**3*(a - 17)**2/7
Factor -5*n**2/4 + 175*n/4.
-5*n*(n - 35)/4
Factor -y**3/5 - 9*y**2/5 + 22*y/5.
-y*(y - 2)*(y + 11)/5
What is b in b**3/2 + 131*b**2 - b/2 - 131 = 0?
-262, -1, 1
Factor -5*u**5/2 + 11*u**4 - 19*u**3 + 16*u**2 - 13*u/2 + 1.
-(u - 1)**4*(5*u - 2)/2
Factor -g**3/11 - 324*g**2/11 + 325*g/11.
-g*(g - 1)*(g + 325)/11
Factor 2*j**2 + 36*j + 162.
2*(j + 9)**2
Factor -l**5 + 17*l**3 + 36*l**2 + 20*l.
-l*(l - 5)*(l + 1)*(l + 2)**2
Solve 2*c**5/5 + 16*c**4/5 + 28*c**3/5 - 8*c**2 - 78*c/5 + 72/5 = 0 for c.
-4, -3, 1
Factor n**3 - 65*n**2 + 248*n - 244.
(n - 61)*(n - 2)**2
Factor 2*p**3/3 + 106*p**2/3 + 1456*p/3 + 1352/3.
2*(p + 1)*(p + 26)**2/3
Factor -2*p**2/11 - 932*p/11 - 930/11.
-2*(p + 1)*(p + 465)/11
Find l such that -24*l**3 + 314*l**2/3 - 106*l/3 + 8/3 = 0.
1/9, 1/4, 4
Factor 2*s**4/3 + 6*s**3 + 20*s**2/3 - 24*s - 112/3.
2*(s - 2)*(s + 2)**2*(s + 7)/3
Solve 7*b**3/5 + 41*b**2/5 - 2*b/5 - 216/5 = 0 for b.
-4, -27/7, 2
Find a, given that 2*a**5 - 542*a**4/7 - 730*a**3/7 + 382*a**2/7 + 716*a/7 + 160/7 = 0.
-1, -2/7, 1, 40
Factor -3*y**4 + 3033*y**3 + 18279*y**2 + 27459*y.
-3*y*(y - 1017)*(y + 3)**2
Solve 5*p**3 - 150*p**2 + 655*p - 750 = 0 for p.
2, 3, 25
Find k such that -k**4 - 3*k**3 + 2*k**2 + 12*k + 8 = 0.
-2, -1, 2
What is k in -12*k**3/5 - 51*k**2/5 - 48*k/5 - 9/5 = 0?
-3, -1, -1/4
Factor n**3 + 254*n**2 + 16625*n + 62500.
(n + 4)*(n + 125)**2
Suppose o**3/4 - 31*o**2/2 + 224*o + 512 = 0. What is o?
-2, 32
Factor -3*o**4/8 - 6783*o**3/8 - 1695*o**2/2.
-3*o**2*(o + 1)*(o + 2260)/8
Let -14*t**4/5 + 13*t**3/5 + 29*t**2/5 + 2*t/5 = 0. Calculate t.
-1, -1/14, 0, 2
Factor 3*c**3 - 369*c**2 + 10773*c + 35721.
3*(c - 63)**2*(c + 3)
Solve -2*m**3 - 40*m**2 + 2*m + 40 = 0.
-20, -1, 1
Factor p**2 - 444*p + 2195.
(p - 439)*(p - 5)
Let 5*x**5 + 85*x**4 + 150*x**3 = 0. Calculate x.
-15, -2, 0
Factor -c**3/4 - 2*c**2 - c + 12.
-(c - 2)*(c + 4)*(c + 6)/4
Factor 2*i**2 + 208*i + 206.
2*(i + 1)*(i + 103)
Suppose -4*r**4 + 68*r**3 - 124*r**2 + 60*r = 0. Calculate r.
0, 1, 15
Suppose 14*i**5 - 270*i**4 + 972*i**3 - 1096*i**2 + 240*i = 0. Calculate i.
0, 2/7, 2, 15
Find r such that -22*r**2 + 42*r + 4 = 0.
-1/11, 2
Suppose w**3/3 + 13*w**2 - 27*w + 41/3 = 0. What is w?
-41, 1
Find c such that 2*c**4 + 6*c**3 - 68*c**2 - 216*c - 144 = 0.
-6, -2, -1, 6
Find l, given that 980*l**5/3 + 616*l**4/3 + 43*l**3 + 3*l**2 = 0.
-3/14, -1/5, 0
Suppose 2*d**2/5 - 26*d/5 = 0. What is d?
0, 13
Solve -2*w**3/7 - 46*w**2/7 - 220*w/7 - 272/7 = 0.
-17, -4, -2
Factor -r**4 + 136*r**3 - 792*r**2 + 1568*r - 1040.
-(r - 130)*(r - 2)**3
Factor -2*d**4/5 - 4*d**3/5 + 8*d**2/5 + 16*d/5.
-2*d*(d - 2)*(d + 2)**2/5
Factor 5*t**2/2 - 40*t + 195/2.
5*(t - 13)*(t - 3)/2
Factor -u**5/4 + 13*u**4/4 + 36*u**3 + 118*u**2 + 164*u + 84.
-(u - 21)*(u + 2)**4/4
Find g such that -2*g**4 - 10*g**3 + 42*g**2 - 46*g + 16 = 0.
-8, 1
Factor 4*p**2 - 64.
4*(p - 4)*(p + 4)
Factor -5*h**4 - 545*h**3 + 550*h**2.
-5*h**2*(h - 1)*(h + 110)
What is d in 2*d**2/15 - 68*d/15 - 14/3 = 0?
-1, 35
Factor -2*p**3/3 + 68*p**2/3 + 470*p/3 + 400/3.
-2*(p - 40)*(p + 1)*(p + 5)/3
Suppose -2*p**5/3 - 14*p**4/3 + 4*p**3/3 + 92*p**2/3 - 130*p/3 + 50/3 = 0. Calculate p.
-5, 1
Solve -2*y**4/3 + 9*y**3 - 59*y**2/3 + 15*y - 11/3 = 0.
1/2, 1, 11
Find m, given that 5*m**2 + 45*m + 40 = 0.
-8, -1
Factor 4*u**3/9 - 5*u**2/3 + 8*u/9 + 1/3.
(u - 3)*(u - 1)*(4*u + 1)/9
Factor 2*o**2/3 - 11180*o/3 + 15624050/3.
2*(o - 2795)**2/3
Find u, given that -4*u**4 - 14*u**3/3 + 22*u**2/3 + 4*u/3 = 0.
-2, -1/6, 0, 1
Factor 10*j**3/9 - 4*j**2/3 - 2*j + 4/9.
2*(j - 2)*(j + 1)*(5*j - 1)/9
Suppose r**3/6 + 4*r**2/3 + 19*r/6 + 2 = 0. What is r?
-4, -3, -1
Let r**5 + 3*r**4 - 9*r**3 - 27*r**2 = 0. Calculate r.
-3, 0, 3
Factor -j**3/4 - 3*j**2/2 + 31*j/4 + 9.
-(j - 4)*(j + 1)*(j + 9)/4
Find w such that w**5/4 - w**4/2 - 13*w**3/4 + 13*w**2/2 + 9*w - 18 = 0.
-3, -2, 2, 3
Determine d, given that d**2 - 202*d - 408 = 0.
-2, 204
Factor 2*i**2/13 - 380*i/13 + 18050/13.
2*(i - 95)**2/13
Let 4*x**4 + 56*x**3 + 128*x**2 - 440*x + 252 = 0. Calculate x.
-9, -7, 1
Factor -2*a**3/3 + 22*a**2/3 - 70*a/3 + 50/3.
-2*(a - 5)**2*(a - 1)/3
Factor 2*x**2/3 - 20*x/3 - 16.
2*(x - 12)*(x + 2)/3
Factor -3*t**3 - 72*t**2 + 153*t - 78.
-3*(t - 1)**2*(t + 26)
Factor z**3/9 - 10*z**2/9 + z.
z*(z - 9)*(z - 1)/9
Factor d**4 - 8*d**3 - 74*d**2 + 360*d + 2025.
(d - 9)**2*(d + 5)**2
Factor 4*x**4 + 752*x**3 + 36088*x**2 + 69936*x + 34596.
4*(x + 1)**2*(x + 93)**2
Factor t**3/5 - t**2/2 + 3*t/10.
t*(t - 1)*(2*t - 3)/10
Factor -3*g**2/5 - 49*g/5 - 16/5.
-(g + 16)*(3*g + 1)/5
Factor -4*q**3 + 300*q + 1000.
-4*(q - 10)*(q + 5)**2
Find m such that -39*m**4/2 + 114*m**3 - 393*m**2/2 + 84*m + 18 = 0.
-2/13, 1, 2, 3
Factor -4*p**4 - 12*p**3 + 92*p**2 - 132*p + 56.
-4*(p - 2)*(p - 1)**2*(p + 7)
Let -c**5/9 - 19*c**4/9 - 35*c**3/3 - 157*c**2/9 - 70*c/9 = 0. Calculate c.
-10, -7, -1, 0
Factor d**4 + 51*d**3 - 53*d**2 - 51*d + 52.
(d - 1)**2*(d + 1)*(d + 52)
Factor -2*i**4 + 166*i**3 - 3360*i**2 - 3528*i.
-2*i*(i - 42)**2*(i + 1)
Factor -4*d**5 - 36*d**4 - 120*d**3 - 184*d**2 - 132*d - 36.
-4*(d + 1)**3*(d + 3)**2
Factor 2*d**2/5 - 32/5.
2*(d - 4)*(d + 4)/5
Factor w**2/9 + w + 2.
(w + 3)*(w + 6)/9
Suppose -2*p**4/5 - 32*p**3/5 + 74*p**2/5 + 32*p/5 - 72/5 = 0. Calculate p.
-18, -1, 1, 2
Factor 434*q**3/17 + 4*q**2/17.
2*q**2*(217*q + 2)/17
Find l, given that -l**2 - 3*l + 130 = 0.
-13, 10
Factor 6*w**2 - 340*w - 346.
2*(w + 1)*(3*w - 173)
Find j, given that -2*j**3/9 + 2*j**2/9 + 4*j/9 = 0.
-1, 0, 2
Find n such that 2*n**4/13 - 100*n**3/13 + 90*n**2/13 + 400*n/13 - 392/13 = 0.
-2, 1, 2, 49
Determine h, given that -5*h**2 + 215*h + 220 = 0.
-1, 44
Factor -3*v**4 + 330*v**3 + 672*v**2.
-3*v**2*(v - 112)*(v + 2)
What is o in 4*o**5 - 144*o**4 - 8*o**3 + 288*o**2 + 4*o - 144 = 0?
-1, 1, 36
Factor 2*t**2 - 8664*t + 9383112.
2*(t - 2166)**2
Factor -3*a**4 - 6*a**3 + 6*a + 3.
-3*(a - 1)*(a + 1)**3
Solve 3*v**2/7 - 66*v/7 + 9 = 0.
1, 21
Factor -2*n**4/7 + 4*n**3/7 + 1846*n**2/7 - 264*n - 60984.
-2*(n - 22)**2*(n + 21)**2/7
Factor -v**3/3 - 88*v**2/3 - 257*v/3 - 170/3.
-(v + 1)*(v + 2)*(v + 85)/3
Factor -11*g**3 - g**2/6.
-g**2*(66*g + 1)/6
Factor 2*k**3/9 - 14*k**2/9 - 16*k/9.
2*k*(k - 8)*(k + 1)/9
Factor t**2/3 + 7*t/3 - 8/3.
(t - 1)*(t + 8)/3
What is n in -80*n**3/3 + 724*n**2/3 + 1760*n/3 - 484/3 = 0?
-11/5, 1/4, 11
Determine i, given that -i**3 + 12*i**2 - 35*i + 24 = 0.
1, 3, 8
Determine n so that -n**4 - 3*n**3 + 16*n**2 + 48*n = 0.
-4, -3, 0, 4
Factor -2*r**3/17 + 26*r**2/17 + 322*r/17 + 294/17.
-2*(r - 21)*(r + 1)*(r + 7)/17
Solve 2*t**3 + 628*t**2 + 2486*t + 1860 = 0.
-310, -3, -1
Determine b, given that -3*b**4/4 - 3*b**3/4 + 36*b**2 - 60*b - 96 = 0.
-8, -1, 4
Suppose 2*o**5/15 + 4*o**4/15 - 16*o**3/3 + 28*o**2/3 + 26*o/5 - 48/5 = 0. What is o?
-8, -1, 1, 3
Suppose 147*l**3/2 + 1099*l**2/3 - 682*l/3 + 100/3 = 0. What is l?
-50/9, 2/7
Factor -i**4/2 - 37*i**3 - 1365*i**2/2 + 148*i + 2738.
-(i - 2)*(i + 2)*(i + 37)**2/2
Suppose n**2/3 - 4*n + 9 = 0. What is n?
3, 9
Find h, given that 2*h**2/11 - 186*h/11 - 380/11 = 0.
-2, 95
Factor 2*d**4 - 23*d**3/2 + 21*d**2 - 10*d - 4.
(d - 2)**3*(4*d + 1)/2
Factor o**2/4 + 20*o + 76.
(o + 4)*(o + 76)/4
Determine h, given that -3*h**3 + 27*h**2 + 3*h - 27 = 0.
-1, 1, 9
Factor -2*u**2/3 + 464*u/3 - 458.
-2*(u - 229)*(u - 3)/3
Determine t so that 3*t**5 + 4389*t**4 + 1598682*t**3 - 4822410*t**2 + 4831203*t - 1611867 = 0.
-733, 1
Determine b, given that 3*b**2 + 12*b - 63 = 0.
-7, 3
Find v such that 3*v**3 + 3*v**2 - 168*v + 432 = 0.
-9, 4
Determine b so that -b**3/3 + 25*b**2 + 51*b + 77/3 = 0.
-1, 77
Find w, given that 5*w**4/3 - 25*w**3/3 = 0.
0, 5
Let -3*p**2/7 - 198*p/7 + 201/7 = 0. What is p?
-67, 1
Factor -33*c**3 + 135*c**2 - 174*c + 72.
-3*(c - 2)*(c - 1)*(11*c - 12)
Factor h**3/3 + 9*h**2 + 26*h/3.
h*(h + 1)*(h + 26)/3
Let -7*o**5/2 - 55*o**4 - 73*o*