8
Factor 6*m**2/11 - 1614*m/11 - 4896/11.
6*(m - 272)*(m + 3)/11
Factor t**4/10 - 35*t**3/2 + 1002*t**2/5 - 3944*t/5 + 5216/5.
(t - 163)*(t - 4)**3/10
Suppose -578*k**3 + 6495428*k**2 + 1528360*k + 89904 = 0. Calculate k.
-2/17, 11238
Determine z so that -2*z**4 + 1453*z**3 + 735*z**2 - 5812*z - 2908 = 0.
-2, -1/2, 2, 727
Solve -2*x**2/11 - 27740*x/11 - 96188450/11 = 0.
-6935
Suppose -u**3 + 8084*u**2 + u - 8084 = 0. What is u?
-1, 1, 8084
Solve 2*b**4/9 - 2066*b**3/9 - 35612*b**2/9 - 92344*b/9 - 19600/3 = 0.
-14, -2, -1, 1050
Determine i, given that i**3/3 - 61773*i**2 + 123545*i - 185317/3 = 0.
1, 185317
Factor s**3/6 + 503*s**2/6 + 497*s/3 - 668.
(s - 2)*(s + 4)*(s + 501)/6
Factor -h**3/9 - 777*h**2 - 4080992*h/3 - 61040180/9.
-(h + 5)*(h + 3494)**2/9
What is s in -338*s**5 - 284518*s**4 - 1069118*s**3 - 1262698*s**2 - 561560*s - 83800 = 0?
-838, -2, -1, -5/13
Solve 4*f**4 - 120*f**3 - 76*f**2 + 2400*f - 3600 = 0 for f.
-5, 2, 3, 30
Factor 25*p**4 - 1108865*p**3 + 12296148535*p**2 - 7377289935*p.
5*p*(p - 22177)**2*(5*p - 3)
Factor -2214144*y**2 + 5952*y - 4.
-4*(744*y - 1)**2
What is r in -r**4/4 + 93*r**3/2 + 13831*r**2/4 + 19464*r + 28548 = 0?
-52, -3, 244
Suppose -5*f**4 + 2645*f**3 - 2635*f**2 - 2645*f + 2640 = 0. What is f?
-1, 1, 528
Factor -4*k**2 - 116*k + 5088.
-4*(k - 24)*(k + 53)
Factor -3*g**2 - 77847*g - 77844.
-3*(g + 1)*(g + 25948)
Find t, given that 2*t**3/7 - 5888*t**2/7 + 4339450*t/7 - 8655364/7 = 0.
2, 1471
Factor -2*m**4 + 414*m**3 + 842*m**2 - 1254*m.
-2*m*(m - 209)*(m - 1)*(m + 3)
Factor -3*p**3 - 13869*p**2 - 15868413*p + 372346701.
-3*(p - 23)*(p + 2323)**2
What is w in -3*w**2/8 - 15*w/4 + 693/8 = 0?
-21, 11
Suppose -2*r**2/3 - 3868*r - 150514/3 = 0. What is r?
-5789, -13
Let 3267*o**4/8 - 3473019*o**3/4 + 3692450631*o**2/8 - 111873309*o/2 + 3389907/2 = 0. Calculate o.
2/33, 1063
Suppose 2*w**5/5 - 404*w**4/5 - 3324*w**3/5 - 7528*w**2/5 - 1342*w - 420 = 0. Calculate w.
-5, -1, 210
Factor -4*t**2 + 3192*t - 3188.
-4*(t - 797)*(t - 1)
Find m such that 4*m**2 + 225356*m - 450728 = 0.
-56341, 2
What is y in 4*y**4 + 84*y**3 - 2008*y**2 + 6048*y + 20736 = 0?
-36, -2, 8, 9
Solve m**5/9 - 4*m**4/3 - 27*m**3 - 114*m**2 - 144*m = 0 for m.
-6, -3, 0, 24
Factor -2*w**2/13 + 7828*w/13 - 602.
-2*(w - 3913)*(w - 1)/13
Let 9*o**4 + 60*o**3 - 12924*o**2 + 156960*o + 110400 = 0. Calculate o.
-46, -2/3, 20
Determine o so that -4*o**4 + 7168*o**3 - 42912*o**2 + 85760*o - 57152 = 0.
2, 1786
Factor -3*g**3 - 12*g**2 + 417*g + 858.
-3*(g - 11)*(g + 2)*(g + 13)
Suppose -2*b**5 + 512*b**4 - 508*b**3 - 512*b**2 + 510*b = 0. Calculate b.
-1, 0, 1, 255
Let g**2 - 13534*g - 40611 = 0. What is g?
-3, 13537
Solve -2*i**5 - 5138*i**4 - 30772*i**3 - 40996*i**2 + 30774*i + 46134 = 0.
-2563, -3, -1, 1
Factor -4*a**3 - 4004*a**2 - 991916*a + 5060180.
-4*(a - 5)*(a + 503)**2
Find r, given that -27*r**3 + 588*r**2 - 435*r - 126 = 0.
-2/9, 1, 21
Factor -o**4 + 8*o**3 + 267*o**2 - 554*o + 280.
-(o - 20)*(o - 1)**2*(o + 14)
Factor -755*j**3 - 6100*j**2 - 12560*j - 960.
-5*(j + 4)**2*(151*j + 12)
Let r**3/6 - 293*r**2/2 - 18860*r/3 = 0. Calculate r.
-41, 0, 920
Find q, given that 25*q**5 - 460*q**4 + 2860*q**3 - 6230*q**2 - 325*q + 9250 = 0.
-1, 2, 5, 37/5
Factor -3*w**2 + 6765*w - 13518.
-3*(w - 2253)*(w - 2)
Suppose -128*m**3 + 7264*m**2 - 109938*m + 191844 = 0. What is m?
2, 219/8
Factor g**3 - 643*g**2 + 1920*g.
g*(g - 640)*(g - 3)
Suppose 3*u**5 - 1200*u**4 + 153399*u**3 - 6468330*u**2 + 12481248*u - 6165120 = 0. Calculate u.
1, 104, 190
Suppose s**2/4 + 53*s/4 = 0. Calculate s.
-53, 0
Solve i**5/3 - 17762*i**4/3 + 11839*i**3 + 53288*i**2/3 - 142084*i/3 + 23680 = 0 for i.
-2, 1, 2, 17760
Factor 3*z**2 + 414*z + 14280.
3*(z + 68)*(z + 70)
Factor 2*z**2 - 4056*z - 16256.
2*(z - 2032)*(z + 4)
Factor -2*n**2/7 - 13892*n/7 + 41694/7.
-2*(n - 3)*(n + 6949)/7
Suppose 5*u**3 - 1780*u**2 - 85375*u - 163590 = 0. Calculate u.
-41, -2, 399
Factor -2*u**2/13 + 144992*u/13 + 55770.
-2*(u - 72501)*(u + 5)/13
Solve 5*w**3 - 39385*w**2 + 77499800*w + 232854000 = 0.
-3, 3940
Factor 2*g**2 - 290*g + 2192.
2*(g - 137)*(g - 8)
Let -4*h**3 - 3456*h**2 + 120972*h - 1038088 = 0. What is h?
-898, 17
Factor -5*x**4/3 - 5*x**3 - 10*x**2/3.
-5*x**2*(x + 1)*(x + 2)/3
Factor n**3/6 - 163*n**2/6 + 580*n - 3336.
(n - 139)*(n - 12)**2/6
Factor a**4 - 33*a**3 - 16*a**2 + 528*a.
a*(a - 33)*(a - 4)*(a + 4)
Suppose 2*m**3/9 - 478*m**2/9 + 784*m/3 - 312 = 0. Calculate m.
2, 3, 234
Suppose 2*t**2/7 + 13470*t/7 = 0. Calculate t.
-6735, 0
Factor -3*y**4 + 214701*y**3 - 3841483965*y**2 + 3841269267*y.
-3*y*(y - 35783)**2*(y - 1)
Factor -d**5/2 + 8*d**4 - 41*d**3 + 80*d**2 - 133*d/2 + 20.
-(d - 8)*(d - 5)*(d - 1)**3/2
Suppose 3*z**3 + 189*z**2 + 1368*z + 2640 = 0. What is z?
-55, -4
Determine i, given that -2*i**4/5 + 194*i**3/5 - 1798*i**2/5 + 5086*i/5 - 696 = 0.
1, 4, 5, 87
Factor 215*f**2 + 58940*f + 8220.
5*(f + 274)*(43*f + 6)
Determine f, given that f**4 - 201*f**3/4 + 1033*f**2/2 - 126*f = 0.
0, 1/4, 14, 36
What is o in -o**2/2 - 347029*o/2 - 173514 = 0?
-347028, -1
Suppose 26*r**4 + 7128*r**3 + 496136*r**2 + 1037952*r + 147968 = 0. What is r?
-136, -2, -2/13
Solve 35*q**2 - 576005*q + 164570 = 0.
2/7, 16457
Factor 5*r**3 - 39440*r**2 - 157820*r - 157840.
5*(r - 7892)*(r + 2)**2
Let 3*f**5 - 3*f**4 - 531*f**3 + 1119*f**2 + 12012*f = 0. Calculate f.
-13, -4, 0, 7, 11
Factor -5*a**2 + 1530*a - 24565.
-5*(a - 289)*(a - 17)
Let 5*n**4/3 - 1145*n**3 + 37055*n**2/3 + 28145*n + 43940/3 = 0. Calculate n.
-1, 13, 676
Determine r, given that -3*r**2 - 111414*r = 0.
-37138, 0
Let 4*r**5 + 18760*r**4 - 4*r**3 - 18760*r**2 = 0. Calculate r.
-4690, -1, 0, 1
Factor 240*x**2 - 168239*x - 701.
(x - 701)*(240*x + 1)
What is i in -24*i**2 - 67382*i + 28080 = 0?
-2808, 5/12
Factor -25*c**3 + 37780*c**2 - 7555*c.
-5*c*(c - 1511)*(5*c - 1)
Suppose l**3 + 618*l**2 + 126108*l + 8478616 = 0. What is l?
-226, -166
Factor -44*f**4 - 2846*f**3 - 46976*f**2 - 30720*f.
-2*f*(f + 32)**2*(22*f + 15)
What is o in 2*o**5 + 1048*o**4 + 1040*o**3 - 3148*o**2 - 5234*o - 2092 = 0?
-523, -1, 2
Determine r, given that 54*r**4/5 + 146364*r**3/5 - 2444824*r**2/15 - 1151632*r/15 - 43456/5 = 0.
-2716, -2/9, 6
Factor 4*i**3 + 456*i**2 + 15296*i + 124800.
4*(i + 12)*(i + 50)*(i + 52)
Solve 2*y**2/5 - 41216*y + 1061724160 = 0 for y.
51520
Let -4*j**4/3 + 23188*j**3/3 + 15464*j**2 = 0. What is j?
-2, 0, 5799
Find f, given that -f**3 - 198*f**2 + 2757*f + 2954 = 0.
-211, -1, 14
Factor 8*h**3/5 + 27104*h**2/5 + 22970634*h/5 + 22943538/5.
2*(h + 1)*(2*h + 3387)**2/5
Factor 3*f**2/4 + 1023*f/4 - 1029/2.
3*(f - 2)*(f + 343)/4
Find h, given that -2*h**5/9 - 11512*h**4/9 - 1838080*h**3 + 7372800*h**2 = 0.
-2880, 0, 4
Suppose -3*j**5 + 198*j**4 - 4626*j**3 + 45276*j**2 - 166923*j + 202878 = 0. What is j?
3, 17, 26
Factor -2*g**2/13 - 135020*g/13 - 270032/13.
-2*(g + 2)*(g + 67508)/13
Suppose 3*w**3 + 23118*w**2 + 23115*w = 0. Calculate w.
-7705, -1, 0
Solve 2*h**2/7 + 594*h/7 - 52256/7 = 0 for h.
-368, 71
Suppose 161*q**5/2 - 965*q**4/2 + 641*q**3 + 4*q**2 = 0. Calculate q.
-1/161, 0, 2, 4
Factor y**4 + y**3 - 156*y**2.
y**2*(y - 12)*(y + 13)
Factor 3*r**3 + 22281*r**2 + 42063168*r + 2562296436.
3*(r + 63)*(r + 3682)**2
Find u such that 3*u**2/4 - 5631*u/2 + 33678 = 0.
12, 3742
Factor 2*m**4/9 - 8258*m**3/9 + 8520190*m**2/9 + 8528450*m/9.
2*m*(m - 2065)**2*(m + 1)/9
Solve -3*m**5 + 9*m**4 + 114*m**3 - 576*m**2 + 672*m = 0.
-7, 0, 2, 4
Let -21*z**4/8 - 573*z**3/8 - 1989*z**2/8 + 1893*z/8 + 345/4 = 0. What is z?
-23, -5, -2/7, 1
Let -g**5 - 118*g**4 - 4321*g**3 - 37972*g**2 + 380972*g - 338560 = 0. Calculate g.
-46, -32, 1, 5
Factor 4*l**3/3 - 700*l**2/3 + 7288*l/3 - 3936.
4*(l - 164)*(l - 9)*(l - 2)/3
Solve 3*v**4/7 - 327*v**3 + 63858*v**2/7 = 0 for v.
0, 29, 734
Factor -4*p**5 - 7036*p**4 + 28184*p**3 - 42296*p**2 + 28204*p - 7052.
-4*(p - 1)**4*(p + 1763)
Factor 4*c**3/9 + 668*c**2/9 + 35260*c/9 + 66564.
4*(c + 43)**2*(c + 81)/9
Solve 4*l**5/5 - 2152*l**4 - 64672*l**3/5 - 86296*l**2/5 + 64668*l/5 + 97056/5 = 0 for l.
-3, -1, 1, 2696
Let q**3 - 29*q**2 + 50*q + 728 = 0. Calculate q.
-4, 7, 26
Let 5*k**4 + 4860*k**3 - 65*k**2 - 63240*k - 58320 = 0. What is k?
-972, -3, -1, 4
What is i in 5*i**5 + 915*i**4 + 48870*i**3 + 637450*i**2 + 21