i - 30)**2*(i + 5536)
Solve -p**4 + 614*p**3 + 1869*p**2 - 11066*p - 24680 = 0 for p.
-5, -2, 4, 617
Factor j**3/5 + 10465*j**2 - j/5 - 10465.
(j - 1)*(j + 1)*(j + 52325)/5
Suppose 3*d**4 - 654*d**3 + 1923*d**2 + 2616*d - 7740 = 0. Calculate d.
-2, 2, 3, 215
Factor 4*o**3/9 - 77524*o**2/9 + 125065472*o/3 + 459616256.
4*(o - 9696)**2*(o + 11)/9
Factor l**2/2 - 305*l - 9375/2.
(l - 625)*(l + 15)/2
Let -49*i**5 - 1085*i**4 - 6288*i**3 - 10276*i**2 - 6368*i - 1344 = 0. Calculate i.
-14, -6, -1, -4/7
Suppose -4*x**2/3 - 191392*x/3 - 63796 = 0. What is x?
-47847, -1
Let 5*c**5 + 1855*c**4 + 3675*c**3 - 5555*c**2 - 7360*c + 7380 = 0. What is c?
-369, -2, 1
Factor o**2/6 + 5491*o/3 + 18295/2.
(o + 5)*(o + 10977)/6
Find b such that 5*b**4 - 5980*b**3 - 139385*b**2 - 973700*b - 1828500 = 0.
-10, -3, 1219
Factor 12*c**2 - 2675348*c - 891784.
4*(c - 222946)*(3*c + 1)
Suppose 5*i**3 + 1015*i**2 + 2015*i + 1005 = 0. What is i?
-201, -1
Factor 4*z**2 + 4060*z - 16304.
4*(z - 4)*(z + 1019)
What is w in 3*w**3/7 + 396*w**2/7 - 813*w/7 - 1206/7 = 0?
-134, -1, 3
Factor -h**3/5 + 570*h**2 - 98451*h/5 - 41662.
-(h - 2815)*(h - 37)*(h + 2)/5
Factor -z**2/2 + 48331*z.
-z*(z - 96662)/2
Suppose j**4 + 131*j**3 - 412*j**2 - 1340*j = 0. Calculate j.
-134, -2, 0, 5
Solve -4*f**2/3 + 22280*f - 534464/3 = 0.
8, 16702
Solve -5*u**2 + 6175*u - 12330 = 0.
2, 1233
Solve 5*c**5 + 5*c**4 - 365*c**3 - 1625*c**2 - 2160*c - 900 = 0 for c.
-6, -3, -1, 10
What is c in -2*c**2/9 + 56258*c/3 + 337556/9 = 0?
-2, 84389
What is w in -2*w**3/17 + 186*w**2/17 + 5900*w/17 = 0?
-25, 0, 118
What is j in 3*j**5 - 3867*j**4 - 7755*j**3 + 11595*j**2 + 30972*j + 15492 = 0?
-2, -1, 2, 1291
Find i such that -361*i**4/4 + 3857*i**3/2 - 32773*i**2/4 - 22533*i - 12321 = 0.
-1, 222/19
Factor -3*g**3/4 + 1269*g**2 - 2142063*g/4 - 2152227/2.
-3*(g - 847)**2*(g + 2)/4
Factor 2*j**2/3 - 12988*j.
2*j*(j - 19482)/3
Let 3*a**2/5 + 52899*a + 264492/5 = 0. What is a?
-88164, -1
What is l in l**3/8 - 51*l**2/8 - 217*l/8 - 165/8 = 0?
-3, -1, 55
Factor 4*m**3 - 21976*m**2 + 175472*m + 438880.
4*(m - 5486)*(m - 10)*(m + 2)
Find n, given that 5*n**3 + 435*n**2 + 6930*n = 0.
-66, -21, 0
Factor 5*h**4 + 30650*h**3 + 91915*h**2 + 61270*h.
5*h*(h + 1)*(h + 2)*(h + 6127)
Suppose 3*p**4/4 + 765*p**3/4 + 24441*p**2/2 + 220176*p - 490776 = 0. What is p?
-169, -44, 2
Let -5*f**3 + 1425*f**2 - 8235*f - 37665 = 0. Calculate f.
-3, 9, 279
Factor 2*p**4 + 82*p**3 + 840*p**2 - 800*p - 16000.
2*(p - 4)*(p + 5)*(p + 20)**2
Factor 5*c**3 - 5395*c**2 + 1456200*c - 116478000.
5*(c - 719)*(c - 180)**2
Let -2*k**2/9 + 6218*k/9 - 2760 = 0. What is k?
4, 3105
What is j in 3*j**5 + 84*j**4 + 552*j**3 + 1536*j**2 + 1968*j + 960 = 0?
-20, -2
Determine n, given that 21*n**4/2 + 5406*n**3 + 30777*n**2/2 + 14601*n + 4608 = 0.
-512, -1, -6/7
Determine x so that 2*x**4/3 + 1322998*x**3/3 + 97240059000*x**2 + 7147079509500000*x - 7147176750000000 = 0.
-220500, 1
Suppose -3249*j**4/8 + 87951*j**3/8 - 30011*j**2 + 4131*j/2 - 36 = 0. What is j?
2/57, 3, 24
Factor 3*a**2/2 + 14331*a - 28665/2.
3*(a - 1)*(a + 9555)/2
Factor -a**3 - 3249*a**2 + 6502*a.
-a*(a - 2)*(a + 3251)
Find m such that m**4/10 - 2*m**3/5 - 9*m**2/2 = 0.
-5, 0, 9
Factor -5*z**3 - 345*z**2 - 2800*z - 6000.
-5*(z + 4)*(z + 5)*(z + 60)
Let 4*r**4 + 68164*r**3 - 204520*r**2 + 136352*r = 0. What is r?
-17044, 0, 1, 2
Solve 3*n**4 + 42*n**3 - 1011*n**2 + 1398*n + 7128 = 0.
-27, -2, 4, 11
Let -4*n**5 - 3072*n**4 - 36236*n**3 + 39312*n**2 = 0. What is n?
-756, -13, 0, 1
Let -5*f**5 + 3940*f**4 - 81030*f**3 + 379060*f**2 + 464035*f = 0. What is f?
-1, 0, 11, 767
What is r in r**2/2 + 6010*r + 12019/2 = 0?
-12019, -1
What is i in 4*i**4/7 + 136*i**3/7 + 1196*i**2/7 + 3176*i/7 + 2112/7 = 0?
-22, -8, -3, -1
Factor i**2/8 - 5841*i - 23365/2.
(i - 46730)*(i + 2)/8
Factor 2*k**3/3 + 116*k**2 - 6072*k + 211024/3.
2*(k - 22)**2*(k + 218)/3
Factor -q**3 - 65*q**2 + 476*q + 8820.
-(q - 14)*(q + 9)*(q + 70)
Let 4*k**4 + 1120*k**3 + 89788*k**2 + 1489920*k - 5308416 = 0. Calculate k.
-128, -27, 3
What is y in -5*y**3/11 + 1497*y**2/11 - 6475*y/11 - 4425/11 = 0?
-3/5, 5, 295
Factor 3*l**2/5 - 585666*l/5 + 585663/5.
3*(l - 195221)*(l - 1)/5
Let t**4/5 - 829*t**3/5 + 331*t**2 - 827*t/5 = 0. Calculate t.
0, 1, 827
Factor -2*v**3/5 - 76*v**2/5 - 512*v/5 - 192.
-2*(v + 4)**2*(v + 30)/5
Find a, given that 21*a**5 - 531*a**4 + 2577*a**3 - 909*a**2 - 7998*a + 6840 = 0.
-12/7, 1, 2, 5, 19
Factor -j**2/3 + 982*j/3 - 4885/3.
-(j - 977)*(j - 5)/3
Find h such that 108*h**3/13 + 246*h**2 - 1256*h/13 + 120/13 = 0.
-30, 1/6, 2/9
Solve 2*f**3/7 - 1448*f**2 - 81234*f/7 + 91368/7 = 0.
-9, 1, 5076
What is v in -2*v**3/3 + 826*v**2/3 - 31330*v + 583050 = 0?
23, 195
What is m in 4*m**2/3 - 824*m/3 + 4512 = 0?
18, 188
Suppose -3*b**3/5 - 55233*b**2/5 + 110478*b/5 = 0. Calculate b.
-18413, 0, 2
Determine z, given that 2066*z**2/17 - 522702*z/17 + 1012/17 = 0.
2/1033, 253
Factor t**3/5 - 617*t**2 + 489440*t - 20793600.
(t - 1520)**2*(t - 45)/5
Factor -4*o**4 + 168*o**3 + 6396*o**2 + 45968*o.
-4*o*(o - 68)*(o + 13)**2
Factor -d**2 + 3756*d - 11259.
-(d - 3753)*(d - 3)
Find y such that 4*y**5/3 + 707*y**4/3 + 1847*y**3/3 - 11834*y**2/3 - 10192*y + 2784 = 0.
-174, -4, -3, 1/4, 4
Determine w so that -w**2/5 - 6014*w/5 + 1203 = 0.
-6015, 1
Factor -4*o**3 - 520*o**2 + 8484*o - 31320.
-4*(o - 9)*(o - 6)*(o + 145)
Find j, given that -2*j**4 + 2780*j**3 + 30774*j**2 + 67320*j - 100872 = 0.
-6, 1, 1401
Suppose 2*s**3/7 + 4262*s**2/7 + 2331118*s/7 + 64066858/7 = 0. Calculate s.
-1051, -29
Determine w so that -w**3/6 - 879*w**2/2 + 19507*w/2 + 61157/6 = 0.
-2659, -1, 23
Factor -2*m**4/19 + 2768*m**3/19 - 987692*m**2/19 + 20735088*m/19 - 112230162/19.
-2*(m - 681)**2*(m - 11)**2/19
Let 2*d**4/7 + 5454*d**3/7 + 113892*d**2/7 + 649640*d/7 + 541200/7 = 0. Calculate d.
-2706, -10, -1
Factor -z**4 + 4196*z**3 - 4405798*z**2 + 8799012*z - 4397409.
-(z - 2097)**2*(z - 1)**2
Solve 4*y**4 + 9804*y**3 - 49108*y**2 + 29508*y + 88416 = 0 for y.
-2456, -1, 3
Let s**5/6 - 27*s**4/2 + 2077*s**3/6 - 6213*s**2/2 + 14801*s/3 = 0. Calculate s.
0, 2, 19, 41
Factor 50*w**3/3 + 30810*w**2 - 135806*w + 448426/3.
2*(w + 1853)*(5*w - 11)**2/3
Factor y**3/2 - 23329*y**2/2 - 9*y/2 + 209961/2.
(y - 23329)*(y - 3)*(y + 3)/2
Factor -54*j**2/7 + 274*j/7 - 220/7.
-2*(j - 1)*(27*j - 110)/7
Factor a**4/9 + 17*a**3/9 - 2*a**2.
a**2*(a - 1)*(a + 18)/9
Suppose 14*f**5 + 1360*f**4 - 24528*f**3 + 62548*f**2 - 57022*f + 17628 = 0. What is f?
-113, 6/7, 1, 13
Factor -2*l**3/7 - 1038*l**2/7 - 148*l.
-2*l*(l + 1)*(l + 518)/7
Factor 4*d**2 - 267212*d - 534440.
4*(d - 66805)*(d + 2)
Suppose 15*z**2 - 46203*z + 9240 = 0. What is z?
1/5, 3080
Factor -11*f**4/3 - 10234*f**3/3 - 1058340*f**2 - 328854200*f/3 - 119164000/3.
-(f + 310)**3*(11*f + 4)/3
Factor -9*u**2/4 - 797*u/4 + 618.
-(u - 3)*(9*u + 824)/4
Suppose -r**4 + 366*r**3 + 12571*r**2 + 65436*r + 93132 = 0. Calculate r.
-26, -3, 398
Determine r, given that -7*r**2/2 - 29086*r - 8310 = 0.
-8310, -2/7
Factor -2*g**3 + 168*g**2 - 2962*g - 6612.
-2*(g - 57)*(g - 29)*(g + 2)
Determine t so that -4*t**4/7 - 344*t**3/7 + 3340*t**2/7 - 7552*t/7 + 4560/7 = 0.
-95, 1, 2, 6
Factor -2*b**3/3 - 226*b**2/3 + 320*b + 936.
-2*(b - 6)*(b + 2)*(b + 117)/3
Find f, given that -2*f**3/5 - 568*f**2/5 + 2*f/5 + 568/5 = 0.
-284, -1, 1
What is m in -m**3/6 + 101*m**2/3 - 1343*m/6 - 20273/3 = 0?
-11, 19, 194
Factor 2*h**3 + 1972*h**2 - 95038*h - 97008.
2*(h - 47)*(h + 1)*(h + 1032)
Suppose -4*l**3 + 82410*l**2 - 1194074*l - 617640 = 0. What is l?
-1/2, 15, 20588
Find a, given that a**5 - 61*a**4 + 861*a**3 - 2691*a**2 + 1890*a = 0.
0, 1, 3, 15, 42
Let 3*f**5 - 27*f**4 - 309*f**3 + 459*f**2 + 1890*f = 0. What is f?
-7, -2, 0, 3, 15
Suppose 743822450*l**2 + 154280*l + 8 = 0. Calculate l.
-2/19285
Let -2*n**5 - 242*n**4 - 7744*n**3 - 17224*n**2 + 451008*n - 968832 = 0. What is n?
-58, -12, 3, 4
Determine f so that 2*f**2/5 - 1072532*f/5 + 143790611378/5 = 0.
268133
Let s**4/5 + 9*s**3 - 1421*s**2/5 + 9603*s/5 - 8228/5 = 0. What is s?
-68, 1, 11
Find m such that -2*m**4/3 + 95*m**3/3 + 3896*m**2/3 + 1924*m/3 = 0.
-26, -1/2, 0, 74
Factor 76*m**2/5 + 209812*m/5 - 66264/5.
4*(m + 2761)*(19*m - 6)/5
Factor 3*r**2/7 + 60*r/7 - 3588/7.
3*(r - 26)*(r + 46)/7
Factor 