-5*n**3 - 4132400*n**2 - 853824090665*n + 5123093311470.
-5*(n - 6)*(n + 413243)**2
Factor -2*h**2/3 - 128480*h/3 - 1413038/3.
-2*(h + 11)*(h + 64229)/3
Let -n**2/3 + 96884*n - 290651/3 = 0. Calculate n.
1, 290651
Factor 2*g**2/9 - 206333384*g/9 + 5321683169111432/9.
2*(g - 51583346)**2/9
Let -o**2/6 + 1956217*o/2 - 49883389/3 = 0. What is o?
17, 5868634
Let 4*j**3 - 219984*j**2 - 27119044*j + 27339024 = 0. Calculate j.
-124, 1, 55119
Determine x so that x**3/6 - 3583*x**2/6 + 238151*x/6 + 3054535/6 = 0.
-11, 79, 3515
Suppose 1206888*l**2/5 + 26551532*l/5 - 88/5 = 0. What is l?
-22, 1/301722
Solve 3*d**5/7 - 1560*d**4/7 - 424125*d**3/7 - 3682230*d**2/7 + 1696452*d/7 + 14753880/7 = 0 for d.
-190, -9, -2, 2, 719
Factor -z**3/4 + 17*z**2/4 + 4346*z - 247107.
-(z - 82)**2*(z + 147)/4
Factor -2*j**3/13 + 94366*j**2/13 - 1088030742*j/13 - 595138027014/13.
-2*(j - 23853)**2*(j + 523)/13
Determine f, given that 5*f**5 + 4680*f**4 + 1016400*f**3 - 37480960*f**2 = 0.
-484, 0, 32
Factor -i**2/6 + 2567*i/3 - 1826191/2.
-(i - 3621)*(i - 1513)/6
Suppose b**2/3 + 729216190*b/3 + 132939062939529025/3 = 0. What is b?
-364608095
Find n such that -5*n**3/3 + 24644*n**2 - 29572*n/3 = 0.
0, 2/5, 14786
Factor -u**2/4 - 7897*u/4 - 2920323/2.
-(u + 826)*(u + 7071)/4
Factor -2312*b**2 + 33196*b - 11592.
-4*(b - 14)*(578*b - 207)
Factor 5018523*o**2/8 - 15055767*o/8 + 297/4.
3*(o - 3)*(1672841*o - 66)/8
Determine h so that h**3 + 243*h**2/2 + 985*h/2 - 3978 = 0.
-117, -17/2, 4
Determine d so that 687*d**4/5 + 2546712*d**3/5 - 1017009*d**2 - 22254*d/5 = 0.
-3709, -1/229, 0, 2
Factor n**4 - 16399*n**3 + 67907108*n**2 - 5522525468*n - 5590448976.
(n - 8158)**2*(n - 84)*(n + 1)
Determine s, given that 2*s**5 + 99686*s**4 + 1195822*s**3 - 6079286*s**2 + 4783776*s = 0.
-49831, -16, 0, 1, 3
Determine i, given that -2*i**4 - 2*i**3 + 108*i**2 - 112*i - 640 = 0.
-8, -2, 4, 5
Determine k so that k**5/5 + 481*k**4/5 - 85263*k**3 + 16367575*k**2 - 895291250*k - 10675875000 = 0.
-996, -10, 175
Factor -2*h**2 - 6468*h + 2866910.
-2*(h - 395)*(h + 3629)
Solve -5*v**3 - 1870*v**2 + 2758935*v = 0.
-953, 0, 579
Find a such that 8*a**4/9 + 9854*a**3/9 + 27032*a**2/9 - 2458*a/3 = 0.
-1229, -3, 0, 1/4
Let m**3/8 - 117529*m**2/4 + 3452737519*m/2 + 31084158249 = 0. Calculate m.
-18, 117538
Find u, given that -u**3/5 - 70487*u**2 - 2114475*u - 15858225 = 0.
-352405, -15
Factor -l**2/4 - 314573*l/2 - 6920485/4.
-(l + 11)*(l + 629135)/4
Find r such that 4*r**2/9 - 466458232*r/3 + 13598955137535364 = 0.
174921837
Determine f, given that -2*f**2/13 + 511643956*f/13 - 32722442213916242/13 = 0.
127910989
Suppose -16*z**2 - 12030556*z - 9022908 = 0. What is z?
-751909, -3/4
Suppose -8*z**2 + 13818855*z + 1727357 = 0. Calculate z.
-1/8, 1727357
Factor -4*d**2 - 453864*d - 12874533156.
-4*(d + 56733)**2
Factor -3*y**3/5 - 5976*y**2 - 29945916*y/5 - 7931078064/5.
-3*(y + 546)**2*(y + 8868)/5
Factor -2*n**2 - 135990*n + 2040300.
-2*(n - 15)*(n + 68010)
Find t, given that 2*t**4/3 + 596*t**3/3 + 40822*t**2/3 + 603844*t/3 + 187872 = 0.
-206, -72, -19, -1
Factor 3*t**3 + 12381*t**2 + 429318*t - 1399464.
3*(t - 3)*(t + 38)*(t + 4092)
Factor k**2/5 - 40857*k/5 + 19420856/5.
(k - 40376)*(k - 481)/5
Solve -165*t**4 + 1114926*t**3 - 1560639*t**2 + 445878*t = 0 for t.
0, 2/5, 1, 74313/11
Find i such that 4*i**5/3 - 11024*i**4/3 + 6814612*i**3/3 + 1104036728*i**2/3 - 2228473216*i/3 + 1117632896/3 = 0.
-134, 1, 1444
Factor m**4 + 3021153*m**3 - 18126942*m**2 + 36253900*m - 24169272.
(m - 2)**3*(m + 3021159)
What is o in -13230*o**3 - 8813004*o**2 - 1214792*o - 5328 = 0?
-666, -2/15, -2/441
Find v such that -v**2/6 + 183047*v/6 + 122034 = 0.
-4, 183051
What is g in 1535238*g**4 + 146297046*g**3 + 42692900*g**2 - 340800*g - 608000 = 0?
-95, -40/201, 2/19
Determine x, given that -95538*x**5/5 + 1910757*x**4/5 - 12610956*x**3/5 + 30571764*x**2/5 - 24456768*x/5 - 768/5 = 0.
-1/31846, 2, 8
Find j such that -3*j**3/8 + 8395*j**2/4 + 2799*j = 0.
-4/3, 0, 5598
Determine t so that 4*t**5 + 104424*t**4 - 11312784*t**3 + 305760096*t**2 = 0.
-26214, 0, 54
Let 5*g**4 - 11362*g**3 + 6224208*g**2 + 263891680*g + 406246144 = 0. Calculate g.
-38, -8/5, 1156
Suppose -4*l**2 + 25*l + 1254921 = 0. Calculate l.
-557, 2253/4
What is i in -2*i**4/15 + 50066*i**3/15 - 104450052*i**2/5 + 100929024*i/5 + 4386207168 = 0?
-14, 15, 12516
Let 3*s**2 - 111948*s + 42984192 = 0. Calculate s.
388, 36928
Determine q, given that -2*q**5/3 + 195644*q**4/3 - 1601488636*q**3 + 972064228672*q**2/3 - 1910501108746*q/3 - 962456666324 = 0.
-1, 3, 202, 48809
Determine a so that a**5 - 21714624*a**4 + 117881180436089*a**3 + 471524960605246*a**2 + 589406293043724*a + 235762534589192 = 0.
-2, -1, 10857314
Suppose -367205*o**3 + 88537055*o**2 - 530739720*o + 805561200 = 0. What is o?
828/271, 235
Factor 5*k**2 - 177535*k - 1242990.
5*(k - 35514)*(k + 7)
Factor 4*c**2 - 2556252*c + 40899008.
4*(c - 639047)*(c - 16)
Suppose -367*u**3/5 - 7248978*u**2/5 - 7159072896*u + 585212256/5 = 0. Calculate u.
-9876, 6/367
Find v such that -4*v**5 + 21356*v**4 - 20659292*v**3 - 22230831356*v**2 + 20659296*v + 22230810000 = 0.
-625, -1, 1, 2982
Factor 2*d**3 - 66424*d**2 - 199346*d + 1860040.
2*(d - 33215)*(d - 4)*(d + 7)
Solve -g**2/2 - 572855*g/2 - 5155533 = 0 for g.
-572837, -18
What is v in -2*v**2 + 8074*v - 6341784 = 0?
1068, 2969
Suppose 25488*o**4 - 229396*o**3 - 1223388*o**2 + 11418816*o - 1792 = 0. What is o?
-7, 1/6372, 8
Suppose -4*z**2/9 + 1563584*z/9 = 0. Calculate z.
0, 390896
Suppose -2*p**2 + 189281320*p - 4478427262617800 = 0. Calculate p.
47320330
Suppose -4*t**3 - 14492*t**2 - 10576384*t - 2189279232 = 0. What is t?
-2727, -448
Determine g so that -38387198205000*g**4/19 - 7677089157000*g**3/19 - 383801886050*g**2/19 + 3504680*g/19 - 8/19 = 0.
-1/10, 2/438105
Let -2*s**3/7 - 1522*s**2/7 + 12514*s/7 + 23070 = 0. Calculate s.
-769, -7, 15
Factor 3*g**3 - 125721012*g**2 + 1317147738192012*g.
3*g*(g - 20953502)**2
Solve -4*c**3 + 14547840*c**2 + 29095692*c + 14547848 = 0.
-1, 3636962
Find k, given that 28*k**2/19 + 312786*k/19 - 17640 = 0.
-11172, 15/14
Determine g so that -40*g**2/3 + 1666*g/3 - 15484/3 = 0.
14, 553/20
Factor a**3/11 + 1249*a**2/11 - 52710*a/11 + 232200/11.
(a - 36)*(a - 5)*(a + 1290)/11
Factor p**2/4 - 11313662*p + 127998947850244.
(p - 22627324)**2/4
Solve 4*h**3 + 269804*h**2 + 4842224796*h + 9703498265460 = 0.
-32583, -2285
Solve 4*n**5 - 5712*n**4 - 443740*n**3 - 1279720*n**2 + 22896*n + 1706272 = 0.
-71, -2, 1, 1502
Suppose 2*l**5/23 + 49704*l**4/23 + 303526714*l**3/23 - 65930052036*l**2/23 + 130645599552*l/23 = 0. Calculate l.
-12531, 0, 2, 208
Factor 8*b**3/9 + 65594*b**2/9 + 1822*b.
2*b*(b + 8199)*(4*b + 1)/9
Factor -2*v**3/7 - 39806*v**2/7 - 199745622*v/7 - 16692007770/7.
-2*(v + 85)*(v + 9909)**2/7
Factor 5*v**3 + 320*v**2 - 253825*v + 253500.
5*(v - 195)*(v - 1)*(v + 260)
What is k in 36123*k**2/2 + 17411289*k/4 + 723/4 = 0?
-241, -1/24082
Suppose 2*c**3 - 592802*c**2 + 43927072800*c - 43926480000 = 0. Calculate c.
1, 148200
Factor 138*d**2 + 40011*d + 196605.
3*(d + 5)*(46*d + 13107)
Factor 3*p**3/2 + 564*p**2 - 69081*p/2 - 186615.
3*(p - 58)*(p + 5)*(p + 429)/2
Determine p so that 10*p**5/3 - 836*p**4/9 - 7438*p**3/3 + 14872*p**2/3 + 7816*p/9 - 352 = 0.
-18, -1/3, 1/5, 2, 44
Let -35*h**4 - 20191*h**3 + 1512492*h**2 - 170284*h - 172592 = 0. What is h?
-644, -2/7, 2/5, 67
Find o, given that -o**5/3 + 58972*o**4/3 - 865400497*o**3/3 - 118771792658*o**2/3 - 234947147932*o/3 - 117040814744/3 = 0.
-134, -1, 29554
Factor -w**3 + 61703*w**2 + 4322885*w + 75671925.
-(w - 61773)*(w + 35)**2
Suppose s**3/8 - 3863*s**2/8 - 116821*s/8 + 120683/8 = 0. Calculate s.
-31, 1, 3893
Determine i so that i**3/4 + 2171515*i**2/4 + 294717065762*i - 294717608641 = 0.
-1085758, 1
Determine r so that -2*r**4/7 + 2648*r**3/7 + 5372664*r**2/7 - 590991232*r - 697355369984 = 0.
-962, 1624
Factor -p**3 - 3251890*p**2 - 2643667875772*p + 47587075382088.
-(p - 18)*(p + 1625954)**2
Factor 816*r**2/5 + 667486*r/5 - 1636/5.
2*(r + 818)*(408*r - 1)/5
Factor 3*a**2 - 266202*a + 532392.
3*(a - 88732)*(a - 2)
Factor -21*q**2 - 210441465*q - 30063066.
-3*(q + 10021022)*(7*q + 1)
Suppose -7*b**2/3 + 158195*b/3 - 15066 = 0. What is b?
2/7, 22599
Factor u**5 - 1395*u**