*q/5 - 276584/5.
-2*(q - 138292)*(q - 1)/5
Factor -2*w**2/7 + 37288*w/7 - 173799368/7.
-2*(w - 9322)**2/7
Find a such that -2*a**4 - 694*a**3/5 - 12516*a**2/5 - 16456*a/5 - 4624/5 = 0.
-34, -1, -2/5
Factor 65*q**2 - 7350*q - 173000.
5*(q + 20)*(13*q - 1730)
Solve -12*x**3 - 1424*x**2 + 18684*x - 17248 = 0 for x.
-392/3, 1, 11
Find z, given that 2*z**3 + 808*z**2 - 1622*z + 812 = 0.
-406, 1
Suppose -2*o**4 - 7868*o**3 - 7746042*o**2 - 15468488*o - 7730312 = 0. What is o?
-1966, -1
Find g, given that 1163*g**3/7 - 6980*g**2/7 + 1497*g - 18/7 = 0.
2/1163, 3
What is l in l**2 - 3374*l - 47432 = 0?
-14, 3388
What is w in w**2/4 - 6822*w + 46539684 = 0?
13644
What is p in -115*p**2 + 6990*p - 5400 = 0?
18/23, 60
Factor 2*k**2/5 + 396*k/5 + 2880.
2*(k + 48)*(k + 150)/5
Solve -20*a**2/3 - 4924*a - 17640 = 0 for a.
-735, -18/5
Factor -4*t**3 + 13736*t**2 - 489008*t - 1032992.
-4*(t - 3398)*(t - 38)*(t + 2)
Factor -w**2/3 - 165*w + 496/3.
-(w - 1)*(w + 496)/3
Solve -2*h**2/9 + 11404*h/9 + 11410/3 = 0.
-3, 5705
Factor -y**2 + 5822*y.
-y*(y - 5822)
Factor -2*o**3 - 5980*o**2 + 592322*o - 586340.
-2*(o - 95)*(o - 1)*(o + 3086)
Determine t so that -10*t**4 - 194*t**3 - 792*t**2 + 776*t + 3328 = 0.
-13, -32/5, -2, 2
Solve -16*h**2/11 + 126*h/11 + 162/11 = 0.
-9/8, 9
Determine b so that -b**3/3 + 32*b**2/3 - 31*b/3 = 0.
0, 1, 31
Solve 2*p**3/7 + 18608*p**2/7 + 43058048*p/7 - 1044139008/7 = 0 for p.
-4664, 24
Suppose -3*u**2/8 + 1521285*u/4 - 771436017075/8 = 0. Calculate u.
507095
Suppose 3*s**3 - 600*s**2 + 35376*s - 650496 = 0. What is s?
44, 112
Let -49*i**5/3 - 4795*i**4 - 8012*i**3/3 + 56368*i**2/3 + 10944*i + 4688/3 = 0. What is i?
-293, -2, -2/7, 2
Determine h so that -3*h**2 - 237840*h - 4713988800 = 0.
-39640
Find d such that 2*d**2/5 - 20476*d/5 + 52408322/5 = 0.
5119
Suppose 7*n**3 - 13704*n**2 - 45097*n - 11766 = 0. What is n?
-3, -2/7, 1961
Find d, given that d**4 - 225287*d**3 + 16918227645*d**2 - 423513992036525*d + 846960312964750 = 0.
2, 75095
Suppose t**5 + 2*t**4 - 7*t**3 + 4*t**2 = 0. What is t?
-4, 0, 1
Solve x**2/8 + 17*x/8 + 13/2 = 0 for x.
-13, -4
Determine w, given that -5*w**4 - 1257755*w**3 + 1257765*w**2 + 1257755*w - 1257760 = 0.
-251552, -1, 1
Suppose -3*t**4 + 354*t**3 - 8928*t**2 + 38190*t + 460275 = 0. What is t?
-5, 19, 85
What is k in -2*k**5 + 238*k**4 - 7174*k**3 + 4130*k**2 + 83544*k = 0?
-3, 0, 4, 59
What is r in -39*r**3 - 2025*r**2 - 10608*r + 828 = 0?
-46, -6, 1/13
Factor -2*t**2/7 + 14708*t/7 - 29360.
-2*(t - 7340)*(t - 14)/7
Suppose -5*x**5 + 5575*x**4 - 1621495*x**3 + 37258925*x**2 - 35643000*x = 0. What is x?
0, 1, 24, 545
Solve -g**4 + 138*g**3 - 2071*g**2 + 1662*g + 3872 = 0 for g.
-1, 2, 16, 121
Let 2*u**2/9 + 360568*u/9 - 120190/3 = 0. What is u?
-180285, 1
Factor a**3/3 + 478*a**2/3 + 35419*a/3 - 11966.
(a - 1)*(a + 93)*(a + 386)/3
Suppose 4*f**3/9 - 44*f**2/9 - 2080*f - 47808 = 0. Calculate f.
-36, 83
Factor 2*c**3/9 + 92*c**2/9 + 176*c/9.
2*c*(c + 2)*(c + 44)/9
Determine f, given that 2*f**3/21 + 146*f**2/21 = 0.
-73, 0
What is d in 2*d**5 + 776*d**4 + 8270*d**3 - 9048*d**2 = 0?
-377, -12, 0, 1
Solve -5*w**2 + 27520*w + 192885 = 0.
-7, 5511
Let 4*a**5 - 176*a**4 - 44*a**3 + 1864*a**2 + 3136*a + 1408 = 0. What is a?
-2, -1, 4, 44
Factor 2*b**2/3 + 281872*b/3 + 9931478048/3.
2*(b + 70468)**2/3
Suppose -2*x**4 + 3730*x**3 - 3726*x**2 - 3730*x + 3728 = 0. What is x?
-1, 1, 1864
Find h such that 5*h**4 - 25*h**3 - 475*h**2 - 675*h + 1170 = 0.
-6, -3, 1, 13
Suppose j**5 - 490*j**4 + 61455*j**3 - 345050*j**2 - 781660*j + 2459688 = 0. What is j?
-3, 2, 7, 242
Factor 2*k**2 + 269876*k + 9104131922.
2*(k + 67469)**2
What is a in -a**4/4 - 1153*a**3/4 - 336343*a**2/4 - 2289135*a/4 + 656658 = 0?
-573, -8, 1
Factor -n**3 + 2517*n**2 - 32564*n + 30048.
-(n - 2504)*(n - 12)*(n - 1)
Determine s so that 98*s**5/13 - 98*s**4/13 - 50*s**3/13 + 50*s**2/13 = 0.
-5/7, 0, 5/7, 1
Factor z**2/5 + 71352*z/5 + 1272776976/5.
(z + 35676)**2/5
Suppose 42*v**3/17 + 486448*v**2/17 + 46328*v/17 = 0. Calculate v.
-11582, -2/21, 0
Let 4*x**2 - 3233760*x + 653575233600 = 0. Calculate x.
404220
Find k such that -4*k**4 + 452095*k**3 + 1017228*k**2 + 678155*k + 113026 = 0.
-1, -1/4, 113026
Factor 11*u**3 + 42375*u**2 - 73218*u + 30832.
(u - 1)*(u + 3854)*(11*u - 8)
Determine y so that -y**2/6 + 2443*y/2 - 73090/3 = 0.
20, 7309
Let 3*o**3 - 1442*o**2 - 6305*o = 0. What is o?
-13/3, 0, 485
Suppose 3*n**3/2 + 1413*n**2/2 + 15294*n - 72576 = 0. Calculate n.
-448, -27, 4
Factor 2*m**4/11 + 532*m**3/11 + 41528*m**2/11 + 1009200*m/11.
2*m*(m + 58)**2*(m + 150)/11
Find d, given that -2*d**4/3 - 1652972*d**3/3 - 341539554098*d**2/3 = 0.
-413243, 0
Determine n, given that -2*n**2/5 - 6804*n/5 = 0.
-3402, 0
Determine l so that -3*l**4/5 - 21*l**3/5 + 42*l**2 - 312*l/5 = 0.
-13, 0, 2, 4
Factor -o**3/6 + 795*o**2/2 - 236412*o - 712818.
-(o - 1194)**2*(o + 3)/6
Factor 245*t**2 - 1655*t - 420.
5*(t - 7)*(49*t + 12)
Suppose -u**5 + 373*u**4 + 62174*u**3 + 2256850*u**2 + 4328675*u + 2133625 = 0. Calculate u.
-65, -1, 505
Factor 45*l**3 - 15990*l**2 - 10675*l - 1780.
5*(l - 356)*(3*l + 1)**2
Factor -3*m**3 + 5202*m**2 - 20769*m + 15570.
-3*(m - 1730)*(m - 3)*(m - 1)
Factor 4*h**4 + 600*h**3 - 3708*h**2 + 5600*h - 2496.
4*(h - 4)*(h - 1)**2*(h + 156)
Factor 3*s**2/2 + 90771*s/4 - 45387/4.
3*(s + 15129)*(2*s - 1)/4
Factor -o**3 - 61*o**2 - 783*o + 2925.
-(o - 3)*(o + 25)*(o + 39)
Solve 4*f**4 + 18780*f**3 + 112536*f**2 - 128*f - 600192 = 0 for f.
-4689, -4, 2
Factor -4*q**4/3 - 3012*q**3 - 65780*q**2 - 1082708*q/3.
-4*q*(q + 11)**2*(q + 2237)/3
Suppose -2*r**4/19 + 500*r**3/19 - 22850*r**2/19 - 1050000*r/19 - 8820000/19 = 0. What is r?
-15, 140
Factor -3*c**3 - 234*c**2 + 6345*c - 25500.
-3*(c - 17)*(c - 5)*(c + 100)
Factor m**3/4 + 3*m**2/2 - 12199*m/4 - 3051.
(m - 108)*(m + 1)*(m + 113)/4
Determine v, given that v**4/10 + 7*v**3/10 - 2*v**2/5 - 26*v/5 + 24/5 = 0.
-6, -4, 1, 2
Factor 4*i**3 + 5920*i**2 - 253932*i + 2684808.
4*(i - 21)**2*(i + 1522)
Factor -2*w**2 + 264*w + 4736.
-2*(w - 148)*(w + 16)
Suppose -7*f**4 - 21390*f**3 - 36651*f**2 - 9160*f + 6108 = 0. What is f?
-3054, -1, 2/7
Determine o so that 10443*o**4/7 + 500910*o**3/7 + 5998179*o**2/7 - 203760*o/7 + 1728/7 = 0.
-24, 1/59
Factor -5*h**2 + 4709430*h - 1108936546245.
-5*(h - 470943)**2
Solve -3*y**2/8 - 3363*y/8 - 24885/4 = 0 for y.
-1106, -15
Find o such that 3*o**4 + 279*o**3 + 5343*o**2 - 279*o - 5346 = 0.
-66, -27, -1, 1
Suppose -3*m**4 + 921*m**3 - 7980*m**2 - 19668*m = 0. What is m?
-2, 0, 11, 298
Factor 3*t**2 - 107316*t + 959726988.
3*(t - 17886)**2
Let g**3/10 - 481*g**2/2 - 13273*g/5 - 7248 = 0. Calculate g.
-6, -5, 2416
What is a in 4*a**2 + 81464*a + 414773956 = 0?
-10183
Suppose -d**2/8 + 1171*d/4 + 6501 = 0. What is d?
-22, 2364
Factor 4*o**3/3 + 3268*o**2 + 58700*o/3 + 16300.
4*(o + 1)*(o + 5)*(o + 2445)/3
Factor -r**2/6 - 3895*r/3 - 77300.
-(r + 60)*(r + 7730)/6
What is a in 5*a**3/2 - 93*a**2 + 1737*a/2 - 170 = 0?
1/5, 17, 20
Suppose -2*d**5/7 - 888*d**4/7 - 96746*d**3/7 + 411276*d**2/7 + 158464*d + 86016 = 0. What is d?
-224, -1, 6
Solve y**3/2 + 58*y**2 + 1670*y + 11400 = 0 for y.
-76, -30, -10
Factor 5*w**2/4 + 21831*w/4 + 17452.
(w + 4363)*(5*w + 16)/4
What is j in -124*j**2 + 656*j + 2688 = 0?
-84/31, 8
Factor 98*w**3/15 - 3682*w**2/15 + 15296*w/15 - 5632/5.
2*(w - 33)*(7*w - 16)**2/15
Suppose 2*u**2 + 1824*u + 414072 = 0. What is u?
-486, -426
Solve -5*a**3/6 + 329*a**2/6 - 7087*a/6 + 50179/6 = 0 for a.
19, 139/5
Suppose r**4/2 - 57*r**3/2 + 1067*r**2/2 - 6807*r/2 + 2898 = 0. What is r?
1, 12, 21, 23
Determine x, given that -x**3/2 + 3985*x**2/2 - 2005784*x + 41247402 = 0.
21, 1982
Determine y, given that 6*y**4/5 + 185726*y**3/5 + 383272428*y**2 + 6591434031336*y/5 + 2196931754864/5 = 0.
-10318, -1/3
Determine i so that -4*i**3 + 960*i**2 + 28732*i + 27768 = 0.
-26, -1, 267
Factor -108*p**2 + 5559*p/2 + 741.
-3*(p - 26)*(72*p + 19)/2
Factor h**3/2 + 5*h**2/2 - 53*h + 140.
(h - 5)*(h - 4)*(h + 14)/2
Suppose -2*z**4 - 7284*z**3 - 6624794*z**2 + 13271448*z - 6639368 = 0. Calculate z.
-1822, 1
Factor o**3 + 510*o**2 - 28051*o - 28560.
(o - 51)*(o + 1)*(o + 560)
Factor 3*r**2 + 336235*r + 112078.
(r + 112078)*(3*r + 1)
Suppose i**2/3 - 6796*i/3 + 11546404/3 = 0. Calculate i.