t is c?
-3, 40, 718
Suppose -x**3/2 - 13561*x**2/3 - 30654640*x/3 - 20430400/3 = 0. What is x?
-4520, -2/3
Find a, given that 4*a**3 + 23872*a**2 + 23860*a - 47736 = 0.
-5967, -2, 1
Factor -3*u**4 + 303*u**3 + 48*u**2 - 4848*u.
-3*u*(u - 101)*(u - 4)*(u + 4)
Factor -t**2 - 835*t.
-t*(t + 835)
Suppose 2*s**3/5 - 21820*s**2 + 872704*s/5 - 1745344/5 = 0. Calculate s.
4, 54542
Let -4*t**2 + 1448*t + 32172 = 0. Calculate t.
-21, 383
Factor 3*v**4 + 127497*v**3 + 1354814976*v**2 + 4063297536*v.
3*v*(v + 3)*(v + 21248)**2
Factor 2*s**3 + 2046*s**2 + 126324*s.
2*s*(s + 66)*(s + 957)
Determine x so that x**2/3 - 43*x/3 = 0.
0, 43
Let 4*y**2 - 252*y - 2920 = 0. Calculate y.
-10, 73
Factor 3*r**2/7 + 1794*r/7 - 533664/7.
3*(r - 218)*(r + 816)/7
Find v, given that 12*v**5 - 20*v**4 - 44*v**3 + 84*v**2 - 16*v - 16 = 0.
-2, -1/3, 1, 2
Factor -4*x**4 + 1872*x**3 - 18356*x**2 + 16488*x.
-4*x*(x - 458)*(x - 9)*(x - 1)
Factor -2*o**3/3 + 686*o**2/3 - 61790*o/3 + 167334.
-2*(o - 167)**2*(o - 9)/3
Factor -4*z**2 - 193360*z - 2336755600.
-4*(z + 24170)**2
Determine h, given that 20*h**3 - 2058*h**2 - 126408*h - 1575362 = 0.
-23, 1489/10
Find t such that t**3/4 + 14091*t**2 + 112725*t/4 + 28181/2 = 0.
-56362, -1
Find l such that -2*l**2/5 - 20878*l/5 + 146244/5 = 0.
-10446, 7
Find u such that 10*u**4 + 11914*u**3 + 28418*u**2 - 140242*u + 71340 = 0.
-1189, -5, 3/5, 2
Factor z**4/5 - 2710*z**3 + 45981853*z**2/5 - 110063940*z + 1649496996/5.
(z - 6769)**2*(z - 6)**2/5
Let 2*u**4/5 + 7556*u**3/5 + 6976202*u**2/5 - 60614232*u + 643524840 = 0. Calculate u.
-1910, 21
Factor 2*p**2 + 6190*p + 37068.
2*(p + 6)*(p + 3089)
Factor -i**2 + 528*i - 66332.
-(i - 322)*(i - 206)
Factor j**3 + 172*j**2 - 9*j - 1548.
(j - 3)*(j + 3)*(j + 172)
What is z in 5*z**3/2 - 103265*z**2 + 2132318925*z/2 + 4266290250 = 0?
-4, 20655
Find o, given that 3699*o**3 - 147954*o**2 + 1479360*o + 2400 = 0.
-2/1233, 20
What is b in -2*b**3 - 570*b**2 + 3474*b - 5238 = 0?
-291, 3
Factor 2*v**2/9 + 356*v/9 + 5014/3.
2*(v + 69)*(v + 109)/9
Factor -2*m**2 - 112312*m - 449216.
-2*(m + 4)*(m + 56152)
Factor 4*i**3/9 - 27776*i**2/9 - 16*i/9 + 111104/9.
4*(i - 6944)*(i - 2)*(i + 2)/9
Solve -m**5/4 - 325*m**4/2 - 1293*m**3/4 + 486*m**2 = 0 for m.
-648, -3, 0, 1
Solve w**2 - 3560*w - 78804 = 0.
-22, 3582
What is c in 5*c**4/3 - 60*c**3 + 115*c**2 - 170*c/3 = 0?
0, 1, 34
Factor -d**2/2 - 139807*d.
-d*(d + 279614)/2
Determine l so that -2*l**3/7 + 82*l**2/7 = 0.
0, 41
Find c, given that 1368*c**4 + 6216*c**3 + 3110*c**2 + 544*c + 32 = 0.
-4, -4/19, -1/6
Suppose 2*z**2/7 - 524*z + 104690/7 = 0. Calculate z.
29, 1805
Factor 2*x**3 + 5267*x**2 + 13143*x - 31572.
(x + 4)*(x + 2631)*(2*x - 3)
Find w, given that -430*w**3 - 1265*w**2 + 116175*w - 6750 = 0.
-18, 5/86, 15
Suppose -15*r**4 + 4490*r**3 + 18275*r**2 - 22750*r = 0. What is r?
-5, 0, 1, 910/3
Factor -h**3/2 + 48729*h**2 + 194922*h + 194924.
-(h - 97462)*(h + 2)**2/2
Find d, given that 3*d**2/2 - 1464*d + 20202 = 0.
14, 962
Factor -k**3 - 59*k**2 - 828*k.
-k*(k + 23)*(k + 36)
Factor -3*h**4 + 23316*h**3 - 60396210*h**2 + 52121913684*h + 52182333213.
-3*(h - 2591)**3*(h + 1)
Let -3750*o**3 + 3675*o**2 - 1116*o + 108 = 0. Calculate o.
6/25, 1/2
Determine z, given that -4*z**3 + 432*z**2 + 24276*z + 23840 = 0.
-40, -1, 149
Factor -25*a**3/7 - 1760*a**2/7 - 34196*a/7 - 110224/7.
-(a + 4)*(5*a + 166)**2/7
Determine d, given that d**2 + 35335*d + 70666 = 0.
-35333, -2
What is r in 16*r**2 + 56653*r - 10623 = 0?
-3541, 3/16
Factor 3*t**3 + 140349*t**2 + 1641416640*t - 1641556992.
3*(t - 1)*(t + 23392)**2
Suppose -2*d**2/13 - 76708*d/13 - 735514658/13 = 0. Calculate d.
-19177
Factor -2*c**2/5 + 24042*c/5 + 24044/5.
-2*(c - 12022)*(c + 1)/5
Solve 3*z**4/7 + 297*z**3/7 + 5445*z**2/7 + 3993*z = 0 for z.
-77, -11, 0
Factor -3*p**3/8 + 987*p**2/4 - 432939*p/8 + 3956121.
-3*(p - 221)**2*(p - 216)/8
Factor 2*o**3/5 + 906*o**2/5 + 90342*o/5 + 2595726/5.
2*(o + 63)**2*(o + 327)/5
Suppose -2*g**3/15 - 508*g**2/15 - 7296*g/5 + 470016/5 = 0. Calculate g.
-144, 34
Let -10*m**5 + 10096*m**4 + 14160*m**3 - 6052*m**2 - 14150*m - 4044 = 0. Calculate m.
-1, -2/5, 1, 1011
Factor 2*q**2/5 - 82518*q/5 - 16504.
2*(q - 41260)*(q + 1)/5
Factor -5*f**2/2 - 332*f - 654.
-(f + 2)*(5*f + 654)/2
Determine r, given that -r**2/4 - 2751*r/4 + 13805/2 = 0.
-2761, 10
Solve -277*b**3 + 2218*b**2 - 3340*b + 24 = 0 for b.
2/277, 2, 6
Let d**2 + 24485*d - 122450 = 0. What is d?
-24490, 5
Factor 3*s**2 + 7098*s.
3*s*(s + 2366)
Factor 4*t**4 + 59*t**3 + 202*t**2 + 120*t.
t*(t + 4)*(t + 10)*(4*t + 3)
Determine k, given that -5*k**3/6 - 9950*k**2/3 - 39785*k/6 - 3315 = 0.
-3978, -1
Factor -4*d**2/3 + 3452*d/3 - 3440.
-4*(d - 860)*(d - 3)/3
Find r such that -r**4 - 11*r**3 + 299*r**2 + 1299*r + 990 = 0.
-22, -3, -1, 15
Factor -a**2/8 + 8*a + 103305/8.
-(a - 355)*(a + 291)/8
Factor -3*a**4 - 516*a**3 + 1575*a**2.
-3*a**2*(a - 3)*(a + 175)
Suppose -6*b**5/5 - 4948*b**4/5 + 49672*b**3/15 - 6652*b**2/15 - 1546*b - 1656/5 = 0. Calculate b.
-828, -1/3, 1, 3
Determine a, given that 3*a**2/5 - 1374*a/5 + 1371/5 = 0.
1, 457
Suppose -63*x**3/2 + 40*x**2 + 46*x = 0. Calculate x.
-46/63, 0, 2
Factor 3*r**3 - 1110*r**2 - 3369*r + 4476.
3*(r - 373)*(r - 1)*(r + 4)
Solve 9*u**2 - 853*u - 2640 = 0.
-3, 880/9
Factor -3*d**3 + 618*d**2 + 12*d - 2472.
-3*(d - 206)*(d - 2)*(d + 2)
Determine b, given that b**3/2 - 777*b**2/2 - 392*b + 2334 = 0.
-3, 2, 778
Find r, given that 4*r**5/3 + 680*r**4/3 - 22892*r**3/3 + 218480*r**2/3 - 621296*r/3 + 540800/3 = 0.
-200, 2, 13
Factor -5*d**2 + 2270225*d + 2270230.
-5*(d - 454046)*(d + 1)
Solve -3*m**5 - 339*m**4 - 2877*m**3 - 7185*m**2 - 828*m + 11232 = 0 for m.
-104, -4, -3, 1
Solve 4*n**4 - 76*n**3 - 228*n**2 + 10908*n - 50544 = 0.
-12, 9, 13
Factor -3*z**3 + 14421*z**2 + 275082*z.
-3*z*(z - 4826)*(z + 19)
Let 2*z**2/23 + 4976*z/23 = 0. What is z?
-2488, 0
Factor -5*y**2 + 13290*y - 8831205.
-5*(y - 1329)**2
Suppose 2*j**5 - 16852*j**4 - 118032*j**3 - 252964*j**2 - 219250*j - 67464 = 0. What is j?
-4, -1, 8433
Factor 4*g**2/5 + 8610184*g/5 + 4633454282116/5.
4*(g + 1076273)**2/5
Let b**3 - 1334*b**2 - 72021*b - 70686 = 0. Calculate b.
-51, -1, 1386
Factor -3*h**2/4 + 55329*h/2 - 1020432747/4.
-3*(h - 18443)**2/4
Find k, given that 2*k**5/23 - 3860*k**4/23 + 381348*k**3/23 - 9092992*k**2/23 - 30006374*k/23 - 20528172/23 = 0.
-2, -1, 53, 1827
Factor 3721*l**4/7 - 1525732*l**3/7 + 156425046*l**2/7 - 5127460*l/7 + 42025/7.
(l - 205)**2*(61*l - 1)**2/7
Factor 3*z**3 - 3*z**2 - 867*z + 867.
3*(z - 17)*(z - 1)*(z + 17)
Determine s, given that 32*s**5/5 - 1008*s**4/5 + 650*s**3 - 646*s**2 + 1068*s/5 - 112/5 = 0.
1/4, 1, 2, 28
Suppose j**5 - 9*j**4 - 911*j**3 + 9*j**2 + 910*j = 0. Calculate j.
-26, -1, 0, 1, 35
Find j, given that 2*j**5/13 - 284*j**4/13 - 1464*j**3/13 - 892*j**2/13 + 1462*j/13 + 1176/13 = 0.
-4, -1, 1, 147
Find v, given that -4*v**4 - 1776*v**3 - 195348*v**2 + 397832*v = 0.
-223, 0, 2
Factor -z**3 - 105*z**2 - 306*z.
-z*(z + 3)*(z + 102)
Solve -14*z**4 + 282*z**3 + 560*z**2 + 264*z = 0 for z.
-1, -6/7, 0, 22
Find j such that 9*j**3/4 - 375*j**2/2 + 15147*j/4 + 5217/2 = 0.
-2/3, 37, 47
Let -5*n**2 - 1345*n + 81600 = 0. What is n?
-320, 51
Factor -5*u**3/3 + 115*u**2 - 965*u - 3245/3.
-5*(u - 59)*(u - 11)*(u + 1)/3
Find j, given that -3*j**4/5 - 1383*j**3/5 - 132999*j**2/5 - 25773*j + 52650 = 0.
-325, -135, -2, 1
Determine n so that -3*n**4 + 4239*n**3 + 42621*n**2 + 98145*n + 59766 = 0.
-7, -2, -1, 1423
Factor l**3/6 - 6225*l**2/2.
l**2*(l - 18675)/6
Determine z so that -2*z**3 - 386*z**2 - 12502*z - 111910 = 0.
-155, -19
Suppose -2*h**4/3 - 448*h**3/3 - 7858*h**2/3 - 13940*h/3 = 0. Calculate h.
-205, -17, -2, 0
Suppose 2*w**4/5 + 15*w**3 + 408*w**2/5 + 149*w/5 - 186/5 = 0. Calculate w.
-31, -6, -1, 1/2
Let 2*d**5 + 88*d**4 + 870*d**3 + 2024*d**2 + 1240*d = 0. Calculate d.
-31, -10, -2, -1, 0
Suppose 4*w**5 - 140*w**4 + 972*w**3 - 740*w**2 - 4976*w - 3120 = 0. Calculate w.
-1, 5, 6, 26
Determine p so that 2*p**4/3 + 1270*p**3/3 + 10070*p**2/3 + 7950*p + 5016 = 0.
-627, -4, -3, -1
What is g in -g**2/3 + 94*g - 16517/3 = 0?
83, 199
Let -147*u**5 + 2268*u**4 - 5346*u**3 - 26244*u**2 - 19683*u = 0. Calculate u.
-9/7, 0, 9
What is n in -75*n**3/2 + 51030*n**2 - 40806*n + 8160 = 0?
2/