+ 168*i**2.
4*i**2*(i + 10)*(i + 21)/5
Solve 4*m**3/9 - 20*m**2/3 + 56*m/9 = 0.
0, 1, 14
Factor a**3/4 + 21*a**2 + 83*a/4.
a*(a + 1)*(a + 83)/4
Factor -4*i**4/7 + 48*i**3/7.
-4*i**3*(i - 12)/7
Determine s so that s**4/3 - 3*s**3 + 7*s**2 - 19*s/3 + 2 = 0.
1, 6
Suppose -3*k**3/5 - 36*k**2/5 + 81*k/5 - 42/5 = 0. What is k?
-14, 1
Factor 44*q**2 + 20*q - 24.
4*(q + 1)*(11*q - 6)
Solve 3*h**4 + 174*h**3 + 2691*h**2 + 4872*h + 2352 = 0 for h.
-28, -1
Factor 4*s**2 + 308*s - 312.
4*(s - 1)*(s + 78)
Let 45*j**5 - 120*j**4 - 220*j**3 - 80*j**2 = 0. What is j?
-2/3, 0, 4
Factor 9*g**2 + 2796*g + 1860.
3*(g + 310)*(3*g + 2)
Find b, given that 5*b**2 + 90*b = 0.
-18, 0
Find p such that 2*p**3/3 - 16*p**2 + 46*p/3 = 0.
0, 1, 23
What is a in -4*a**2 + 11728*a - 8596624 = 0?
1466
Factor -z**2 + 1286*z - 1285.
-(z - 1285)*(z - 1)
Solve 8*s**2 - 94*s - 24 = 0 for s.
-1/4, 12
Suppose -94*j**3/13 + 184*j**2/13 + 8*j/13 = 0. Calculate j.
-2/47, 0, 2
Determine u so that 350*u**4 + 520*u**3 - 384*u**2 - 32*u + 32 = 0.
-2, -2/7, 2/5
Factor 4*j**2 - 248*j + 708.
4*(j - 59)*(j - 3)
Determine i, given that 5*i**3 + 9855*i**2 + 4851120*i - 4860980 = 0.
-986, 1
Solve 2*m**3/7 - 2574*m**2/7 + 2568*m/7 + 5144/7 = 0 for m.
-1, 2, 1286
Factor 2*p**2 - 22*p.
2*p*(p - 11)
Determine b so that -3*b**4/2 - 115*b**3/4 - 153*b**2 - 567*b/4 = 0.
-9, -7/6, 0
Solve q**3/2 - 2*q**2 + q/2 + 3 = 0 for q.
-1, 2, 3
Factor 5*i**4 + 15*i**3 - 440*i**2 - 660*i + 10080.
5*(i - 6)**2*(i + 7)*(i + 8)
Find r, given that -2*r**3/11 - 10*r**2/11 + 12*r/11 = 0.
-6, 0, 1
Factor 5*o**4 - 25300*o**3 + 32029790*o**2 - 63983700*o + 31979205.
5*(o - 2529)**2*(o - 1)**2
Suppose 3*g**2/7 + 4926*g/7 + 2022123/7 = 0. Calculate g.
-821
Solve -4*b**2 - 384*b = 0.
-96, 0
Find u such that 5*u**4 + 871*u**3/3 + 1756*u**2/3 + 1124*u/3 + 224/3 = 0.
-56, -1, -2/3, -2/5
Factor 12*m**2 - 76*m + 24.
4*(m - 6)*(3*m - 1)
Let -v**3/3 - 36*v**2 = 0. Calculate v.
-108, 0
What is r in 4*r**5 - 116*r**4 + 1132*r**3 - 5052*r**2 + 10656*r - 8640 = 0?
3, 4, 15
Factor 2*p**3/5 - 46*p**2/5 - 2*p/5 + 46/5.
2*(p - 23)*(p - 1)*(p + 1)/5
Factor -2*l**4/5 - 4*l**3/5 - 2*l**2/5.
-2*l**2*(l + 1)**2/5
Factor 10*s**4/7 + 16*s**3/7 + 2*s**2/7 - 4*s/7.
2*s*(s + 1)**2*(5*s - 2)/7
Factor 5*m**2 - 130*m + 600.
5*(m - 20)*(m - 6)
Factor -5*j**4 - 5*j**3 + 45*j**2 + 45*j.
-5*j*(j - 3)*(j + 1)*(j + 3)
Solve 4*h**2/7 + 30824*h/7 + 59382436/7 = 0 for h.
-3853
Factor -484*u**3 - 9812*u**2 + 7328*u - 1344.
-4*(u + 21)*(11*u - 4)**2
Factor y**4/6 + 38*y**3/3 - 77*y**2/6.
y**2*(y - 1)*(y + 77)/6
Let -3*k**4/2 - 30*k**3 - 174*k**2 - 240*k = 0. What is k?
-10, -8, -2, 0
Solve 21*j**3 + 1506*j**2 - 6816*j + 1824 = 0.
-76, 2/7, 4
Factor -a**4/5 + 13*a**3/5 + 171*a**2/5 + 567*a/5 + 594/5.
-(a - 22)*(a + 3)**3/5
Let m**2/8 + 5*m/4 + 2 = 0. What is m?
-8, -2
Factor -5*i**2 - 229*i - 180.
-(i + 45)*(5*i + 4)
Determine j, given that j**3 = 0.
0
Determine v so that -3*v**4 + 1266*v**3 + 3*v**2 - 1266*v = 0.
-1, 0, 1, 422
Factor -2*s**4 + 30*s**3 + 42*s**2 - 1166*s - 2904.
-2*(s - 11)**2*(s + 3)*(s + 4)
Factor -p**2 + 276*p - 819.
-(p - 273)*(p - 3)
Factor 2*o**3/7 - 134*o**2/7 + 2432*o/7 - 6144/7.
2*(o - 32)**2*(o - 3)/7
Let 4*j**2 + 24*j + 20 = 0. Calculate j.
-5, -1
Suppose -459*k**2 - 3678*k - 48 = 0. Calculate k.
-8, -2/153
Factor 2*o**4 + 60*o**3 - 64*o**2 - 60*o + 62.
2*(o - 1)**2*(o + 1)*(o + 31)
Solve -841*i**5/2 - 812*i**4 + 3479*i**3/2 + 3247*i**2 - 230*i + 4 = 0 for i.
-2, 1/29, 2
Find h such that 31*h**2 + 461*h - 60 = 0.
-15, 4/31
Determine a, given that -4*a**2 - 884*a = 0.
-221, 0
Solve -b**2/5 + 556*b/5 - 77284/5 = 0.
278
Find b, given that 6*b**3/5 + 2*b**2/5 - 76*b/5 + 48/5 = 0.
-4, 2/3, 3
Determine j, given that 3*j**3/7 - 12*j**2/7 - 15*j/7 = 0.
-1, 0, 5
Factor -10*r**3 - 108*r**2 - 374*r - 420.
-2*(r + 3)*(r + 5)*(5*r + 14)
Factor 3*k**5/4 - 24*k**4 + 183*k**3/4 - 45*k**2/2.
3*k**2*(k - 30)*(k - 1)**2/4
Factor -k**3/5 - 6*k**2 - 192*k/5 + 512/5.
-(k - 2)*(k + 16)**2/5
Solve 35*b**3 + 15*b**2 - 50*b = 0.
-10/7, 0, 1
Factor -2*s**3/11 - 2*s**2 + 52*s/11.
-2*s*(s - 2)*(s + 13)/11
Factor b**3 - 43*b**2 + 144*b + 468.
(b - 39)*(b - 6)*(b + 2)
Find c such that 3*c**4/7 + 6*c**3/7 - 9*c**2/7 - 12*c/7 + 12/7 = 0.
-2, 1
Find p, given that 4*p**2 + 36*p - 88 = 0.
-11, 2
Factor -340*n**2 + 296*n - 64.
-4*(5*n - 2)*(17*n - 8)
Factor -4*y**2 + 176*y - 1936.
-4*(y - 22)**2
Factor -2*w**4 - w**3.
-w**3*(2*w + 1)
Factor -4*g**5 + 16*g**4 - 24*g**3 + 16*g**2 - 4*g.
-4*g*(g - 1)**4
Factor 5*f**5 + 480*f**4 + 11520*f**3.
5*f**3*(f + 48)**2
Factor z**2 + 11*z.
z*(z + 11)
Factor 8*r**2/9 + 11*r/3 + 4/9.
(r + 4)*(8*r + 1)/9
Suppose x**4 + 3*x**3 - 10*x**2 = 0. What is x?
-5, 0, 2
Determine b, given that 3*b**5 + 24*b**4 + 54*b**3 - 81*b = 0.
-3, 0, 1
Factor 3*q**2 - 4482*q + 1674027.
3*(q - 747)**2
Factor -5*u**2 - 435*u + 1820.
-5*(u - 4)*(u + 91)
Factor 11*c**4/8 + c**3/8 - 11*c**2/2 - c/2.
c*(c - 2)*(c + 2)*(11*c + 1)/8
Factor z**3/9 + 62*z**2/9 - 403*z/9 + 340/9.
(z - 5)*(z - 1)*(z + 68)/9
Factor -13*m**3/2 + 77*m**2 - 118*m - 20.
-(m - 10)*(m - 2)*(13*m + 2)/2
Factor -4*m**2 + 292*m - 288.
-4*(m - 72)*(m - 1)
Solve -2*y**2/7 - 64*y/7 - 312/7 = 0.
-26, -6
Factor -2156*b**4 - 672*b**3 - 16*b**2.
-4*b**2*(7*b + 2)*(77*b + 2)
What is z in -2*z**3/3 - 25*z**2/3 - 18*z + 48 = 0?
-8, -6, 3/2
Factor 7*u**5 + 15*u**4 + 2*u**3 - 14*u**2 - 9*u - 1.
(u - 1)*(u + 1)**3*(7*u + 1)
Factor -l**3 + 6*l**2 + 7*l.
-l*(l - 7)*(l + 1)
Determine b so that -b**5/3 + 29*b**4 + b**3/3 - 29*b**2 = 0.
-1, 0, 1, 87
Factor 4*o**3 + 72*o**2 - 1164*o - 1232.
4*(o - 11)*(o + 1)*(o + 28)
Factor -3*g**3/2 - 51*g**2/2 - 273*g/2 - 441/2.
-3*(g + 3)*(g + 7)**2/2
Factor -12*h**2/7 + 296*h/7 - 132.
-4*(h - 21)*(3*h - 11)/7
Let 2*b**3 - 270*b**2 + 12150*b - 182250 = 0. Calculate b.
45
Factor k**5/2 + 122*k**4 - 493*k**3 + 742*k**2 - 991*k/2 + 124.
(k - 1)**4*(k + 248)/2
Determine b so that -b**4/3 + 53*b**3/3 + 92*b**2/3 - 8688*b + 8640 = 0.
-20, 1, 36
Find t, given that -t**5 + 6*t**4 - 12*t**3 + 8*t**2 = 0.
0, 2
Factor -4*o**4 + 12*o**3 + 24*o**2 - 112*o + 96.
-4*(o - 2)**3*(o + 3)
Factor g**2/9 + 38*g/9 - 41/3.
(g - 3)*(g + 41)/9
Solve -x**3/6 - 131*x**2/6 + 268*x/3 - 90 = 0 for x.
-135, 2
Factor 2*h**5/3 - 442*h**4/3 + 36740*h**3/3 - 1367300*h**2/3 + 19632250*h/3 - 18301250/3.
2*(h - 55)**4*(h - 1)/3
Factor -2*a**2/11 + 4*a/11 - 2/11.
-2*(a - 1)**2/11
Factor -4*j**3 - 300*j**2 - 5772*j - 5476.
-4*(j + 1)*(j + 37)**2
Solve -5*a**4 + 2540*a**3 - 322580*a**2 = 0 for a.
0, 254
Factor -4*d**4 + 28*d**3 + 836*d**2 - 7260*d.
-4*d*(d - 11)**2*(d + 15)
Factor -r**3/5 - 13*r**2/5 + 198*r/5.
-r*(r - 9)*(r + 22)/5
What is a in -26*a**5 + 1214*a**4 - 15726*a**3 + 36626*a**2 - 30800*a + 8712 = 0?
9/13, 1, 22
Suppose -2*a**3 - 6*a**2 + 2*a + 6 = 0. What is a?
-3, -1, 1
Suppose -h**5/4 + 7*h**3/2 - 3*h**2 - 13*h/4 + 3 = 0. Calculate h.
-4, -1, 1, 3
Solve -l**2/7 + 22*l/7 - 121/7 = 0.
11
Factor 21*v**4 - 99*v**3 + 117*v**2 - 21*v - 18.
3*(v - 3)*(v - 1)**2*(7*v + 2)
Factor 5*j**3 - 35*j**2 + 180.
5*(j - 6)*(j - 3)*(j + 2)
Suppose m**4/4 + 141*m**3/4 + 6885*m**2/4 + 127575*m/4 + 273375/2 = 0. Calculate m.
-45, -6
Factor -k**2/2 - 353*k/8 - 11.
-(k + 88)*(4*k + 1)/8
Factor -3*g**3/7 - 66*g**2/7.
-3*g**2*(g + 22)/7
Factor -2*g**2/23 + 480*g/23 + 482/23.
-2*(g - 241)*(g + 1)/23
Find y, given that y**3/3 + 7*y**2/3 - 73*y/3 + 65/3 = 0.
-13, 1, 5
Factor 3*i**4/2 - 129*i**3/4 - 33*i**2/2.
3*i**2*(i - 22)*(2*i + 1)/4
Determine p so that 356*p**4 + 4976*p**3/7 + 2476*p**2/7 - 8*p/7 = 0.
-1, 0, 2/623
Let 2*l**4/3 - 20*l**3/9 - 88*l**2/9 - 16*l/3 = 0. What is l?
-2, -2/3, 0, 6
Suppose -3*v**2 + 912*v - 69312 = 0. Calculate v.
152
Factor -3*l**3 + 189*l**2 - 720*l + 708.
-3*(l - 59)*(l - 2)**2
Let -10*v**4/9 + 74*v**3/9 - 68*v**2/9 - 104*v/9 + 16/3 = 0. What is v?
-1, 2/5, 2, 6
Solve -2*l**2 + 34*l + 36 = 0 for l.
-1, 18
Let 4*f**2 - 428*f = 0. Calculate f.
0, 107
Factor -24*d**2 - 44*d + 8.
-4*(d + 2)*(6*d - 1)
Determine y so that -4*y**5 + 12*y**4 + 4*y**3 - 12*y**2 = 0.
-1, 0, 1, 3
Determine b so that -b**5/2 + 2*b**4 + 25*b**3 - 100*b**2 - 49*b/2 + 98 = 0.
-7, -1, 1, 4, 7
Solve 4*m**4 - 116*m**3/7 + 44*m**2/7 + 164*m/7 - 24/7 = 0.
-1, 1/7, 2, 3
Find n, given that 15*n**3 + 5*n**2 - 190*n + 120 = 0.
-4, 2/3, 3
Facto