 639)*(a + 5)**2/4
Solve -z**3/5 - 566*z**2 - 400445*z = 0 for z.
-1415, 0
Suppose 2*q**3/9 - 20*q**2/9 - 5266*q/9 - 1748/3 = 0. Calculate q.
-46, -1, 57
What is y in 2*y**2/3 + 23008*y/3 + 38330 = 0?
-11499, -5
What is p in 4*p**4 + 14096*p**3 + 140652*p**2 + 323344*p + 196784 = 0?
-3514, -7, -2, -1
Factor 4*h**3/5 - 13108*h**2/5 + 10732172*h/5 + 10745284/5.
4*(h - 1639)**2*(h + 1)/5
Solve x**2 - 64*x - 272 = 0 for x.
-4, 68
Determine s, given that s**5/5 + 256*s**4/5 - 22566*s**3/5 - 45896*s**2/5 - 4615*s = 0.
-325, -1, 0, 71
Factor 4*z**3 - 900*z**2 - 40800*z - 424000.
4*(z - 265)*(z + 20)**2
Factor j**3 - 30797*j**2 + 30796*j.
j*(j - 30796)*(j - 1)
Factor -5*d**2 + 60305*d + 60310.
-5*(d - 12062)*(d + 1)
Factor t**2 + 4736*t + 9468.
(t + 2)*(t + 4734)
Suppose -15*q**5 + 65*q**4 + 22440*q**3 + 31860*q**2 - 8769600*q - 59616000 = 0. What is q?
-24, -23/3, 30
Factor -357604*r**3 + 37547224*r**2 + 125579*r + 105.
-(r - 105)*(598*r + 1)**2
Solve 2*z**4/19 + 21078*z**3/19 - 147622*z**2/19 + 232002*z/19 - 105460/19 = 0 for z.
-10546, 1, 5
Factor -2*g**2 + 264*g - 3510.
-2*(g - 117)*(g - 15)
Factor 3*h**4 - 697071*h**3 + 40491983049*h**2 + 40492680123*h.
3*h*(h - 116179)**2*(h + 1)
Factor -j**2 + 6265*j - 18786.
-(j - 6262)*(j - 3)
Factor -m**3/5 + 16007*m**2/5 - 12812803*m + 64048009/5.
-(m - 8003)**2*(m - 1)/5
Let w**5/4 - 87*w**4/2 + 4115*w**3/2 - 14319*w**2 + 90553*w/4 - 20667/2 = 0. What is w?
1, 6, 83
Solve -i**5/5 + 3*i**4/5 + i**3 - 3*i**2/5 - 4*i/5 = 0 for i.
-1, 0, 1, 4
Find d, given that 5*d**4 + 1725*d**3 - 152220*d**2 + 147020*d + 300960 = 0.
-418, -1, 2, 72
Factor 2*h**3/3 + 6384*h**2 + 15232096*h - 736051712/3.
2*(h - 16)*(h + 4796)**2/3
Suppose -t**2/8 - 63107*t - 7964986898 = 0. Calculate t.
-252428
Find p, given that 2*p**3/9 + 2126*p**2/9 + 184370*p/3 - 704902 = 0.
-537, 11
Let d**3 + 147*d**2 + 5628*d + 60724 = 0. What is d?
-94, -34, -19
What is q in -16*q**4/3 + 160*q**3 + 5620*q**2/3 - 40*q - 468 = 0?
-9, -1/2, 1/2, 39
Factor -2*z**3 + 1392*z**2 - 1390*z.
-2*z*(z - 695)*(z - 1)
Determine t, given that -2*t**3 + 2388*t**2 - 906048*t + 110972160 = 0.
312, 570
Let -4*c**2 - 4938872*c - 1524528539524 = 0. Calculate c.
-617359
Suppose -2*l**4/5 + 100992*l**3/5 - 1699897344*l**2/5 + 9537557364736*l/5 = 0. Calculate l.
0, 16832
Factor -5*p**5 + 4000*p**4 - 15940*p**3 + 15920*p**2.
-5*p**2*(p - 796)*(p - 2)**2
Let 5*i**3/3 + 2335*i**2/3 + 2320*i/3 - 4660/3 = 0. What is i?
-466, -2, 1
Let -4*l**2 - 7844*l + 63008 = 0. Calculate l.
-1969, 8
Solve -2*f**2/19 - 506*f/19 + 20808/19 = 0.
-289, 36
Factor -q**3/2 - 21*q**2/2 + 1053*q/2 - 7943/2.
-(q - 13)**2*(q + 47)/2
Find t such that 2*t**2 + 5064*t + 5062 = 0.
-2531, -1
Solve 6*h**4/5 + 18014*h**3/5 + 2683058*h**2 - 159045766*h/5 - 54505176/5 = 0.
-1507, -1/3, 12
Factor 4*r**3/7 - 696*r**2/7 - 6588*r/7.
4*r*(r - 183)*(r + 9)/7
Solve 4*m**4/7 + 2281*m**3/7 - 246*m**2 - 5141*m/7 - 1142/7 = 0.
-571, -1, -1/4, 2
Let -o**5/9 + 4*o**4/3 + 61*o**3/9 + 52*o**2/9 - 20*o/3 - 64/9 = 0. What is o?
-2, -1, 1, 16
Let 147*p**4 - 35217*p**3 - 12053022*p**2 + 6896052*p - 985560 = 0. Calculate p.
-191, 2/7, 430
Let 4*w**3/3 - 11104*w**2 + 23129628*w - 138644552/3 = 0. What is w?
2, 4163
Let -5*y**5 - 4002*y**4 + 14453*y**3 - 15270*y**2 + 4824*y = 0. What is y?
-804, 0, 3/5, 1, 2
Factor -p**2/4 - 94934*p - 9012464356.
-(p + 189868)**2/4
Factor -4*c**3/5 + 308*c**2 + 4648*c/5 + 3104/5.
-4*(c - 388)*(c + 1)*(c + 2)/5
Factor -5*u**2 - 215*u + 2340.
-5*(u - 9)*(u + 52)
Solve 4*h**3/3 - 676*h**2/3 - 12484*h/3 + 119140/3 = 0.
-23, 7, 185
Factor 2*i**4 + 60064*i**3 + 450599912*i**2 - 5415851616*i.
2*i*(i - 12)*(i + 15022)**2
Solve s**5/4 + 402*s**4 + 295107*s**3/2 - 11505418*s**2 + 90266265*s/4 - 11209104 = 0.
-837, 1, 64
Factor -8*g**3/3 - 631*g**2/3 - 545*g/3 + 26.
-(g + 1)*(g + 78)*(8*g - 1)/3
Determine q so that -q**5/2 - 26*q**4 + 1535*q**3/2 - 3371*q**2 + 5146*q - 2516 = 0.
-74, 1, 2, 17
Factor d**2/3 - 2717*d/3 + 2716/3.
(d - 2716)*(d - 1)/3
Factor 2*s**2/3 - 3590*s/3 - 14392/3.
2*(s - 1799)*(s + 4)/3
Let 49*z**4 - 46431*z**3 + 165288*z**2 - 83084*z + 11328 = 0. Calculate z.
2/7, 3, 944
Suppose -2*q**5/5 + 1136*q**4/5 - 2218*q**3/5 - 26084*q**2/5 + 5376*q + 163008/5 = 0. What is q?
-3, 4, 566
Suppose 2*n**2/13 + 1760*n/13 + 3512/13 = 0. What is n?
-878, -2
Solve c**2 + 1214*c + 368449 = 0 for c.
-607
Suppose -2*b**3/7 - 886*b**2/7 - 3502*b/7 + 4390/7 = 0. Calculate b.
-439, -5, 1
Factor m**3 - 3200*m**2 + 85697*m - 82498.
(m - 3173)*(m - 26)*(m - 1)
Find b such that -20*b**2 - 2135*b + 535 = 0.
-107, 1/4
Factor -6*u**4 - 51279*u**3 - 146076777*u**2 - 138675545085*u + 69374298147.
-3*(u + 2849)**3*(2*u - 1)
Factor 2*j**3/5 + 190222*j**2/5 + 4522956048*j/5 - 4523146272/5.
2*(j - 1)*(j + 47556)**2/5
Let 899*j**4/4 - 6291*j**3/4 + 2244*j**2 + 5*j = 0. Calculate j.
-2/899, 0, 2, 5
Factor 2*b**3/5 + 428*b**2/5 + 4128*b/5 + 9792/5.
2*(b + 4)*(b + 6)*(b + 204)/5
Determine w, given that 6*w**5/11 + 1682*w**4/11 + 3860*w**3/11 - 9000*w**2/11 - 28976*w/11 - 17792/11 = 0.
-278, -2, -1, 8/3
Factor -4*h**4 + 3060*h**3 - 56696*h**2.
-4*h**2*(h - 746)*(h - 19)
Let -o**3/4 - 4913*o**2/2 + 14748*o = 0. What is o?
-9832, 0, 6
Suppose 2*x**2 + 1416*x + 73024 = 0. What is x?
-652, -56
Factor -3*s**2/4 + 2121*s/4 + 15435.
-3*(s - 735)*(s + 28)/4
Factor -q**2/10 + 24701*q/10.
-q*(q - 24701)/10
Suppose 5*a**5 - 1005*a**4 + 35175*a**3 + 1533005*a**2 + 12478440*a + 10981620 = 0. What is a?
-13, -1, 114
Suppose 10*k**4/9 - 368*k**3/3 + 7310*k**2/3 - 28996*k/9 + 2720/3 = 0. What is k?
2/5, 1, 24, 85
Solve 4*y**4 + 28*y**3 - 176*y**2 - 1008*y + 1152 = 0 for y.
-8, -6, 1, 6
Let 2*l**3/17 - 1178*l/17 - 10920/17 = 0. Calculate l.
-15, -13, 28
Determine w, given that 4*w**4 + 3076*w**3 + 6140*w**2 + 3068*w = 0.
-767, -1, 0
Let -5*w**3 - 278*w**2 - 277*w/5 = 0. Calculate w.
-277/5, -1/5, 0
Solve -w**3 - 167*w**2 - 4751*w - 4585 = 0.
-131, -35, -1
Factor 5*z**3 + 6295*z**2 + 1906975*z - 47251315.
5*(z - 23)*(z + 641)**2
Find q such that -3*q**4 - 10572*q**3 + 84717*q**2 - 180102*q + 105960 = 0.
-3532, 1, 2, 5
Solve 2*t**2/5 - 464*t/5 = 0.
0, 232
Find r, given that -r**2 - 1964*r - 90099 = 0.
-1917, -47
Solve g**4/2 - 11236*g**3 = 0 for g.
0, 22472
Suppose 142*u**4/3 + 7529*u**3/3 + 125119*u**2/3 + 207064*u + 4356 = 0. What is u?
-22, -9, -3/142
Determine g, given that 11*g**3 + 10232*g**2 + 1860*g = 0.
-930, -2/11, 0
Solve 2*k**4/11 + 32*k**3/11 - 4874*k**2/11 - 32*k/11 + 4872/11 = 0.
-58, -1, 1, 42
Suppose -41*j**2/2 - 657*j - 32 = 0. What is j?
-32, -2/41
Factor c**4 + 522*c**3 - 46560*c**2 - 38238176*c.
c*(c - 254)*(c + 388)**2
Determine v, given that 5*v**4 + 335*v**3 - 5140*v**2 + 4800*v = 0.
-80, 0, 1, 12
Solve -k**3/5 + 22*k**2/5 + 529*k/5 + 962/5 = 0 for k.
-13, -2, 37
Factor s**2/9 + 25733*s/3.
s*(s + 77199)/9
Determine y so that y**5/3 + 2*y**4/3 - 315*y**3 + 4642*y**2/3 - 7372*y/3 + 1224 = 0.
-34, 1, 2, 27
Let -85*p**3 - 12140*p**2 + 14385*p - 2160 = 0. What is p?
-144, 3/17, 1
Suppose n**2/3 - 10547*n/3 + 7030 = 0. What is n?
2, 10545
What is w in -w**5/3 - 58*w**4 - 1180*w**3/3 - 610*w**2 + 1181*w/3 + 668 = 0?
-167, -4, -3, -1, 1
Solve -4*d**2/7 + 4968*d/7 - 4964/7 = 0.
1, 1241
Factor -o**4/5 - 61*o**3/5 - 794*o**2/5 + 368*o.
-o*(o - 2)*(o + 23)*(o + 40)/5
Factor -2*k**2 + 3908*k.
-2*k*(k - 1954)
What is c in c**5 + 53*c**4 + 624*c**3 + 2052*c**2 = 0?
-38, -9, -6, 0
Factor 5*m**5 + 150*m**4 - 1250*m**3 - 10000*m**2 + 103125*m - 218750.
5*(m - 5)**3*(m + 10)*(m + 35)
Let 4*r**3 + 97328*r**2 + 1362004*r + 4766328 = 0. Calculate r.
-24318, -7
Suppose 4*n**4/3 - 2060*n**3/3 + 73548*n**2 - 6636484*n/3 - 6859192/3 = 0. Calculate n.
-1, 67, 382
Determine a so that 25*a**4/6 + 85*a**3/6 - 1142*a**2/3 + 1720*a/3 - 224 = 0.
-12, 4/5, 7
Suppose 2*v**5 + 44418*v**4 + 577216*v**3 + 2663744*v**2 + 4972032*v + 2841088 = 0. Calculate v.
-22196, -4, -1
Factor -2*d**2/9 + 36*d - 12064/9.
-2*(d - 104)*(d - 58)/9
Suppose -4*x**4 + 56*x**3 + 368*x**2 + 264*x - 684 = 0. What is x?
-3, 1, 19
Suppose 7*w**4/5 - 111*w**3 + 15078*w**2/5 - 172676*w/5 + 716184/5 = 0. Calculate w.
14, 261/7
Factor -y**3/3 + 64*y**2/3 - 880*y/3 - 1536.
-(y - 36)*(y - 32)*(y + 4)/3
Solve -a**2/5 - 107*a + 35046/5 = 0.
-594, 59
Solve 2*n**5/7 - 48*n**4 + 8216*n**3/7 + 88