3, -3, -3/11
Solve -2*w**3/11 - 4010*w**2/11 + 40250*w/11 - 100750/11 = 0 for w.
-2015, 5
Factor 4*a**3/7 - 800132*a**2/7 + 40012801020*a/7 + 40013601156/7.
4*(a - 100017)**2*(a + 1)/7
Factor 3*v**2 + 43389*v - 347304.
3*(v - 8)*(v + 14471)
What is o in -4*o**2 - 900*o + 6496 = 0?
-232, 7
Factor 2*z**2/5 - 166236*z/5 - 997488/5.
2*(z - 83124)*(z + 6)/5
Factor w**2 - 243103*w - 243104.
(w - 243104)*(w + 1)
Let 3*j**4/5 - 189*j**3/5 + 3051*j**2/5 - 1767*j/5 - 17298/5 = 0. Calculate j.
-2, 3, 31
Let 2*k**5/11 + 3706*k**4/11 - 3720*k**3/11 - 22240*k**2/11 + 14848*k/11 + 29664/11 = 0. Calculate k.
-1854, -2, -1, 2
Suppose -v**4/4 + 11*v**3/2 - 25*v**2 - 78*v + 504 = 0. Calculate v.
-4, 6, 14
Find d, given that 5*d**4 - 145*d**3 - 1455*d**2 - 1175*d + 9250 = 0.
-5, 2, 37
Factor 5*t**3 - 140*t**2 + 685*t - 550.
5*(t - 22)*(t - 5)*(t - 1)
Factor 2*x**2/9 + 4198*x/9 + 4196/9.
2*(x + 1)*(x + 2098)/9
Factor k**2/6 - 12575*k/6 - 12577/3.
(k - 12577)*(k + 2)/6
Solve 1875*j**4 - 69225*j**3 + 191478*j**2 - 182880*j + 58752 = 0 for j.
24/25, 1, 34
Factor -4*m**3 + 17200*m**2 - 18438292*m - 111249816.
-4*(m - 2153)**2*(m + 6)
Find y such that 3*y**2 - 59220*y = 0.
0, 19740
Solve -2*o**4 - 1228*o**3 - 4878*o**2 + 1228*o + 4880 = 0 for o.
-610, -4, -1, 1
Factor -186*z**3 - 926*z**2 + 1136*z - 24.
-2*(z - 1)*(z + 6)*(93*z - 2)
Find a, given that 3*a**2 - 305217*a + 305214 = 0.
1, 101738
Determine h so that 48*h**4 + 406*h**3 + 106*h**2 - 560*h = 0.
-8, -35/24, 0, 1
Suppose -5*p**3 + 7280*p**2 - 2360025*p - 216533250 = 0. What is p?
-74, 765
What is a in 2*a**2 - 103462*a + 517260 = 0?
5, 51726
Find w such that -w**2/5 + 16771*w/5 = 0.
0, 16771
What is o in -o**2 + 5253*o - 20996 = 0?
4, 5249
Solve -2*r**5 + 17180*r**4/7 - 19618*r**3/7 + 2452*r**2/7 = 0.
0, 1/7, 1, 1226
Factor 2*f**3 + 498238*f**2 + 31030387198*f + 31029888962.
2*(f + 1)*(f + 124559)**2
Let -d**5/4 + 441*d**4/2 - 197977*d**3/4 + 385434*d**2 - 763876*d = 0. Calculate d.
0, 4, 437
Solve f**3/8 + 795*f**2/8 + 5625*f + 165375/2 = 0 for f.
-735, -30
Factor o**4/3 - 3200*o**3/3 + 1027950*o**2 - 160083000*o - 136103900625.
(o - 1155)**3*(o + 265)/3
What is y in -3*y**2 - 8157*y + 49050 = 0?
-2725, 6
Determine t so that -2*t**4/11 + 2964*t**3/11 - 1129944*t**2/11 + 23307440*t/11 + 51158400/11 = 0.
-2, 24, 730
Factor -a**2 - 3490*a + 20976.
-(a - 6)*(a + 3496)
Suppose 3*z**2/5 - 321*z = 0. What is z?
0, 535
Let 4*y**5/3 - 943*y**4 + 50639*y**3/3 - 78717*y**2 + 117855*y - 24804 = 0. What is y?
1/4, 3, 12, 689
Factor -3*f**3 + 36*f**2 + 48*f - 576.
-3*(f - 12)*(f - 4)*(f + 4)
Solve -q**2/6 - 13*q/2 + 210 = 0 for q.
-60, 21
Find y, given that 5*y**2 - 5490*y - 11000 = 0.
-2, 1100
Factor -j**3/3 - 21926*j**2/3 - 120231209*j/3 - 480574084/3.
-(j + 4)*(j + 10961)**2/3
Factor -4*a**2 + 5591608*a - 1954130001604.
-4*(a - 698951)**2
Suppose -14*s**5/9 - 596*s**4/9 + 266*s**3 + 8728*s**2/9 + 7960*s/9 + 736/3 = 0. What is s?
-46, -1, -4/7, 6
Factor -2*p**4 - 18168*p**3 - 72648*p**2 - 72640*p.
-2*p*(p + 2)**2*(p + 9080)
Suppose -5*t**4 - 2120*t**3 - 65945*t**2 + 138270*t - 70200 = 0. Calculate t.
-390, -36, 1
Let -5*g**3/2 - 255*g**2/2 + 227020*g + 454530 = 0. What is g?
-327, -2, 278
Factor 4*z**2 - 68528*z + 68524.
4*(z - 17131)*(z - 1)
Factor -y**2/2 + 9195*y/2 + 4598.
-(y - 9196)*(y + 1)/2
Factor -18*f**2 - 1569164*f/17 + 20512/17.
-2*(f + 5128)*(153*f - 2)/17
Find t, given that -4*t**5 - 100*t**4 + 728*t**3 + 7096*t**2 - 21140*t - 142100 = 0.
-29, -5, 7
Factor 2*i**2/5 + 66*i - 5792/5.
2*(i - 16)*(i + 181)/5
Factor 2*k**3/7 + 1630*k**2/7 - 3274*k/7 - 4902/7.
2*(k - 3)*(k + 1)*(k + 817)/7
Factor -2*o**3/7 - 9904*o**2/7 - 12280936*o/7 - 48965408/7.
-2*(o + 4)*(o + 2474)**2/7
Solve 2*o**4 - 19686*o**3 - 118164*o**2 - 236360*o - 157584 = 0 for o.
-2, 9849
Factor a**4/6 - 1505*a**3/3 + 1504*a**2 - 4511*a/3 + 3007/6.
(a - 3007)*(a - 1)**3/6
Let -a**3 + 3211*a**2 + 6425*a + 3213 = 0. What is a?
-1, 3213
Factor 4*a**2/7 - 11304*a/7 + 11300/7.
4*(a - 2825)*(a - 1)/7
Let 4*x**3 - 17472*x**2 + 2520144*x - 92434880 = 0. Calculate x.
74, 4220
Suppose -c**4/3 - 70*c**3/3 + 227*c**2/3 + 23312*c + 132540 = 0. Calculate c.
-47, -6, 30
Factor u**2/3 + 665*u + 1994/3.
(u + 1)*(u + 1994)/3
Let d**5/10 - 49*d**4/10 + 147*d**3/10 + 15633*d**2/10 - 9288*d + 13770 = 0. What is d?
-17, 3, 30
Factor 5*x**2 - 13690*x - 1141695.
5*(x - 2819)*(x + 81)
Factor 3*b**2/7 - 60507*b/7 - 60510/7.
3*(b - 20170)*(b + 1)/7
Factor 31*s**3/3 - 254*s**2/3 + 171*s - 30.
(s - 5)*(s - 3)*(31*s - 6)/3
Factor -s**3/3 + 13*s**2 + 8206*s/3 + 28072.
-(s - 116)*(s + 11)*(s + 66)/3
Factor u**2 + 105*u + 2726.
(u + 47)*(u + 58)
Suppose -4*p**2/7 + 79724*p/7 - 239136/7 = 0. What is p?
3, 19928
Factor -2*j**3 + 896*j**2 + 13464*j - 30712608.
-2*(j - 306)**2*(j + 164)
Factor -45*m**3 + 4956*m**2 - 136785*m + 18150.
-3*(m - 55)**2*(15*m - 2)
Factor -45*b**2 - 33950*b - 15080.
-5*(b + 754)*(9*b + 4)
Suppose -3*l**4 - 103941*l**3 - 519639*l**2 - 311751*l + 935334 = 0. What is l?
-34642, -3, 1
Let 2*t**2/9 + 204*t + 46818 = 0. What is t?
-459
Determine t so that -5*t**3 - 5630*t**2 - 1579200*t + 3180960 = 0.
-564, 2
Suppose -2*q**3/3 + 194*q**2/3 + 148*q - 1584 = 0. Calculate q.
-6, 4, 99
Determine p, given that 12*p**4/7 - 69*p**3 + 120*p**2/7 = 0.
0, 1/4, 40
Factor 5*c**2 - 86940*c.
5*c*(c - 17388)
Factor 2*d**2/15 - 894*d/5 + 536/3.
2*(d - 1340)*(d - 1)/15
Factor 3*n**2/7 - 12912*n/7 + 13893312/7.
3*(n - 2152)**2/7
Determine o so that 4*o**2 + 64408*o + 259274404 = 0.
-8051
Find k, given that 2*k**2/9 - 3388*k/9 - 58174/9 = 0.
-17, 1711
Determine v, given that v**3/5 - 47*v**2/5 + 91*v/5 - 9 = 0.
1, 45
Find f such that -2*f**4/7 - 36*f**3/7 + 1576*f**2/7 - 12060*f/7 + 26650/7 = 0.
-41, 5, 13
Determine c so that -3*c**4/8 - 99*c**3/8 - 471*c**2/4 - 549*c/2 + 405 = 0.
-18, -10, -6, 1
Factor r**4/2 + 6083*r**3/2.
r**3*(r + 6083)/2
Let 5*i**2 + 245*i - 61410 = 0. What is i?
-138, 89
Solve -5*l**4/2 + 4065*l**3/4 + 6705*l**2 + 10355*l/4 - 6195/2 = 0 for l.
-6, -1, 1/2, 413
Find v, given that -2*v**5/5 - 14*v**4/5 + 22*v**3 - 26*v**2 - 108*v/5 + 144/5 = 0.
-12, -1, 1, 2, 3
Determine d, given that 32*d**2/3 - 2910*d - 546 = 0.
-3/16, 273
Find y, given that -2*y**4/13 - 9356*y**3/13 - 14573496*y**2/13 - 7534341332*y/13 + 38037214810/13 = 0.
-1561, 5
Let 3*v**4 + 4953*v**3 + 136827*v**2 + 802035*v - 2191050 = 0. Calculate v.
-1623, -15, 2
Determine t, given that -2*t**3/11 + 128*t**2/11 + 10902*t/11 - 704628/11 = 0.
-74, 69
Suppose v**4 - 1049*v**3 - 3*v**2 + 3149*v - 2098 = 0. Calculate v.
-2, 1, 1049
Suppose -2*j**2/5 - 283568*j/5 + 56714 = 0. What is j?
-141785, 1
Factor -3*w**3/8 + 104967*w**2/4 + 209937*w/8.
-3*w*(w - 69979)*(w + 1)/8
Suppose 387*s**4 + 1437*s**3 + 711*s**2 - 357*s - 18 = 0. What is s?
-3, -1, -2/43, 1/3
Find z such that 3*z**5/5 - 21*z**4/5 + 33*z**3/5 + 21*z**2/5 - 36*z/5 = 0.
-1, 0, 1, 3, 4
Determine p so that -316535*p**2/3 + 7180*p + 20/3 = 0.
-2/2183, 2/29
Factor 5*f**3 + 2450*f**2 - 37695*f + 90900.
5*(f - 12)*(f - 3)*(f + 505)
Find b such that -b**2/2 - 217088*b - 23563599872 = 0.
-217088
Determine g, given that -2*g**3 + 6064*g**2/3 - 22166*g/3 + 4028 = 0.
2/3, 3, 1007
Solve 5*t**4 + 1175*t**3 - 20*t**2 - 4700*t = 0.
-235, -2, 0, 2
What is x in -2*x**2/5 - 14234*x/5 + 8544 = 0?
-7120, 3
What is p in -2*p**2 + 270*p - 9052 = 0?
62, 73
Suppose 864*g**4/5 + 1440*g**3 - 5106*g**2/5 + 699*g/5 - 27/5 = 0. What is g?
-9, 1/12, 1/2
Factor -g**4/10 - 4856*g**3/5 - 11790368*g**2/5.
-g**2*(g + 4856)**2/10
What is n in 3*n**4/7 - 234*n**3 - 147891*n**2/7 - 146250*n/7 = 0?
-78, -1, 0, 625
Let 2*m**4/7 + 584*m**3/7 + 1726*m**2/7 - 2336*m/7 - 6936/7 = 0. Calculate m.
-289, -3, -2, 2
Find f, given that f**5 + 636*f**4 + 95349*f**3 + 4262266*f**2 + 8241024*f + 4073472 = 0.
-442, -96, -1
Factor j**4 - 15951*j**3 + 175375*j**2 - 557925*j + 398500.
(j - 15940)*(j - 5)**2*(j - 1)
Let -a**2 - 16101*a + 16102 = 0. Calculate a.
-16102, 1
Factor r**5 - 50*r**4 - 56*r**3 + 258*r**2 - 153*r.
r*(r - 51)*(r - 1)**2*(r + 3)
What is m in 3*m**4/7 + 2028*m**3/7 + 384444*m**2/7 + 14098656*m/7 + 144990912/7 = 0?
-316, -22
Let 2*j**5 - 373466*j**4 + 17434046432*j**3 + 52305500536*j**2 + 1493888*j - 69740667392 = 0. Calculate j.
-2, 1, 93368
Suppose -3*a**3/4 + 65751*a**2/4 - 8