 + 680*r**3 + 2386596*r**2 + 35755760*r/3 + 9532672 = 0. Calculate r.
-1104, -4, -1, 1619
Factor 4*g**3 - 6972*g**2 + 253856*g - 2333808.
4*(g - 1706)*(g - 19)*(g - 18)
Find r, given that -2*r**3 + 13651848*r**2 = 0.
0, 6825924
Suppose 69*k**3/5 + 285873*k**2/5 - 2840712*k/5 - 49836 = 0. What is k?
-4153, -2/23, 10
Let -g**5/2 + 132*g**4 - 121*g**3 - 2762*g**2 + 243*g/2 + 2630 = 0. What is g?
-4, -1, 1, 5, 263
Factor -2*t**2/7 - 22164416*t/7 - 22164402.
-2*(t + 7)*(t + 11082201)/7
Let 3*i**2 + 543462*i + 3804087 = 0. Calculate i.
-181147, -7
Suppose 4*w**2 + 2732520*w + 21859904 = 0. What is w?
-683122, -8
Factor z**2/7 - 4881*z - 102510/7.
(z - 34170)*(z + 3)/7
Factor -4*a**2 + 76819888*a - 153639760.
-4*(a - 19204970)*(a - 2)
Find z such that 414*z**2/5 + 16694*z/5 - 372 = 0.
-930/23, 1/9
Solve 4*q**4/5 + 12492*q**3/5 + 11161228*q**2/5 + 2113921476*q/5 + 2102772736/5 = 0 for q.
-1433, -256, -1
Determine o, given that 2*o**5/3 + 1739*o**4/3 - 226505*o**3 - 3082520*o**2/3 - 4120412*o/3 - 458208 = 0.
-1161, -2, -1/2, 296
Factor 3*t**2 - 468*t - 21423.
3*(t - 193)*(t + 37)
Suppose -3*l**5/7 - 1245908*l**4/7 - 129357644000*l**3/7 - 86234968490*l**2/7 + 301831734003*l/7 - 86237875602/7 = 0. Calculate l.
-207651, -2, 1/3, 1
Suppose -l**3 + 717*l**2 - 12972*l - 202420 = 0. Calculate l.
-10, 29, 698
Determine b so that -3*b**5 - 6730*b**4 - 5071799*b**3 - 1383831744*b**2 - 79075525276*b - 26204937104 = 0.
-838, -491, -76, -1/3
Find v such that 4*v**4 + 16048*v**3 - 145180*v**2 - 1705288*v - 1544064 = 0.
-4021, -6, -1, 16
Solve 6*z**4 + 1783*z**3 - 86487*z**2 + 303776*z + 53040 = 0.
-340, -1/6, 4, 39
Determine t so that 36*t**5/11 + 811746*t**4/11 + 4577739722*t**3/11 + 1871565992*t**2 + 1963672576*t + 3049391616/11 = 0.
-11272, -3, -4/3, -1/6
Factor -237*u**2 - 54525*u - 57708.
-3*(u + 229)*(79*u + 84)
Let y**5/4 - 1187*y**4/4 - 24206*y**3 + 687838*y**2 - 2451404*y + 2349844 = 0. What is y?
-98, 2, 19, 1262
Suppose 4*g**2 - 12059500*g - 506506056 = 0. Calculate g.
-42, 3014917
Let 20*p**3 + 6232*p**2 + 431584*p + 838400 = 0. Calculate p.
-1048/5, -100, -2
Factor -399424*w**4 + 39540448*w**3 + 250268*w**2 + 396*w.
-4*w*(w - 99)*(316*w + 1)**2
Factor 4*n**3/5 + 280248*n**2 - 30828732*n/5 + 169560688/5.
4*(n - 11)**2*(n + 350332)/5
Factor -k**2/2 + 8843935*k - 78215186284225/2.
-(k - 8843935)**2/2
Find x, given that -2*x**4/19 - 8690*x**3/19 - 7034302*x**2/19 - 1592424742*x/19 + 1599467736/19 = 0.
-3372, -487, 1
Suppose 3*a**4 + 45132*a**3 - 4541481*a**2 + 26029998*a - 38435472 = 0. What is a?
-15144, 3, 94
Let -9*n**5/4 - 7*n**4/8 + 893*n**3/8 - 737*n**2/8 - 7439*n/8 + 1155/2 = 0. What is n?
-7, -3, 11/18, 4, 5
Factor n**3/2 + 1489*n**2/2 - 292488*n + 25754400.
(n - 168)**2*(n + 1825)/2
Determine t so that -36*t**4 - 45436296*t**3 - 15145429*t**2 - 1262119*t = 0.
-1262119, -1/6, 0
Suppose 7*z**5 - 13690*z**4 - 171240*z**3 + 3919680*z**2 + 1133568*z = 0. What is z?
-24, -2/7, 0, 12, 1968
Find x, given that -9*x**5 - 555*x**4 - 4170*x**3 + 117930*x**2 + 81459*x - 40095 = 0.
-45, -27, -1, 1/3, 11
Solve -3*u**2/4 + 95625*u/4 + 143451/2 = 0.
-3, 31878
Factor -3*l**2/5 + 7542*l/5 - 453351.
-3*(l - 2165)*(l - 349)/5
Factor -5*j**4 - 3685*j**3 + 37270*j**2 - 59760*j.
-5*j*(j - 8)*(j - 2)*(j + 747)
Factor 3*j**2/8 - 25075299*j/4 + 209590206646467/8.
3*(j - 8358433)**2/8
Solve 3*o**4/8 - 11*o**3/4 - 4915*o**2/8 + 15587*o/4 + 2870 = 0.
-40, -2/3, 7, 41
Factor -t**2/5 - 227158*t/5 + 227159/5.
-(t - 1)*(t + 227159)/5
Find k such that 13*k**3/4 - 202069*k**2 + 1025787*k + 1119060 = 0.
-12/13, 6, 62170
Solve 2*l**2/11 - 13906*l/11 - 236980/11 = 0.
-17, 6970
Solve -5*n**4 - 7955*n**3 + 1124685*n**2 - 37562545*n - 38695180 = 0.
-1724, -1, 67
Suppose 6875*q**4 - 204175*q**3 + 1820265*q**2 - 4227665*q - 449540 = 0. Calculate q.
-28/275, 19/5, 13
Determine u, given that -4*u**2/3 + 234100*u - 702296/3 = 0.
1, 175574
Solve 115*y**2 + 3965*y - 1227930 = 0.
-122, 2013/23
Factor g**3 - 1030*g**2 + 168719*g - 1732610.
(g - 829)*(g - 190)*(g - 11)
Factor j**2/5 + 348444*j - 15680061/5.
(j - 9)*(j + 1742229)/5
Let 43525996*r**3/7 - 15544998*r**2 + 6217998*r + 4/7 = 0. What is r?
-1/10881499, 1/2, 2
Determine s so that 4*s**5 + 1816*s**4 - 116780*s**3 + 1065488*s**2 + 20308880*s + 59187200 = 0.
-512, -5, 34
Solve -12*x**4/7 + 581120*x**3/7 - 7045488336*x**2/7 + 243558871680*x/7 - 159241425152/7 = 0 for x.
2/3, 34, 24196
Solve c**3/5 + 76304*c**2 - 2289147*c/5 + 3433734/5 = 0.
-381526, 3
Let 7*f**5/5 - 43934*f**4/5 + 28779262*f**3/5 + 49446184*f**2/5 + 12378811*f/5 - 1648834 = 0. What is f?
-1, 2/7, 745, 5533
Determine q so that -q**3 + 1022405*q**2 + 3067228*q - 4089632 = 0.
-4, 1, 1022408
Determine x so that x**5 - 321*x**4 - 5451*x**3 + 140581*x**2 - 839610*x + 1562400 = 0.
-31, 5, 6, 336
Factor -458*m**3/17 - 1764*m**2/17 - 1306*m/17.
-2*m*(m + 1)*(229*m + 653)/17
Factor 2*x**2/7 - 52972072*x/7 + 350755051496648/7.
2*(x - 13243018)**2/7
Factor o**5/2 + 39933*o**4/2 + 198900588*o**3 - 8589683096*o**2.
o**2*(o - 43)*(o + 19988)**2/2
Solve -n**3/3 - 18011*n**2/3 - 86915879*n/3 - 51407584765/3 = 0 for n.
-8663, -685
Solve -4*v**2 - 2842540*v + 22740576 = 0.
-710643, 8
Suppose 2*o**3/5 + 12384*o**2/5 + 4191264*o + 1078721280 = 0. What is o?
-2940, -312
Factor 4*d**3/3 + 53899280*d**2/3 + 181570774032400*d/3.
4*d*(d + 6737410)**2/3
Let 3*v**5/4 + 636*v**4 + 247305*v**3/4 - 41108220*v**2 - 3391455447*v - 3350286036 = 0. What is v?
-498, -79, -1, 228
Determine t so that 2*t**3 + 58322*t**2 + 2271516*t = 0.
-29122, -39, 0
Factor -2*w**2 + 6489738*w + 45428264.
-2*(w - 3244876)*(w + 7)
Find h, given that -3*h**4/8 - 8348829*h**3/4 - 23234265130719*h**2/8 + 34851510405351*h/2 - 52277321962683/2 = 0.
-2782946, 3
Suppose -2*s**4 - 4356*s**3 - 280152*s**2 - 2860336*s + 60994560 = 0. Calculate s.
-2112, -38, 10
Determine p so that 35*p**5 + 6255*p**4 + 343030*p**3 + 5210840*p**2 - 7177440*p + 1617280 = 0.
-76, -28, 2/7, 1
Factor 2*h**2/5 - 11763016*h/5 + 7057806.
2*(h - 5881505)*(h - 3)/5
Suppose -p**5 + 241*p**4 + 1821*p**3 - 21049*p**2 - 8468*p + 193440 = 0. What is p?
-13, -3, 4, 5, 248
Factor -3*d**3 + 1017*d**2 + 213408*d - 74579712.
-3*(d - 304)**2*(d + 269)
Suppose -3*n**2 - 7116*n + 1078935 = 0. What is n?
-2515, 143
Find z such that 1210*z**5/3 - 1275362*z**4/3 + 377302694*z**3/3 - 20983885534*z**2/3 - 5701701600*z + 1419120000 = 0.
-1, 1/5, 73, 5400/11
Find r, given that r**4/4 - 16583*r**3/2 + 414125*r**2 - 5796050*r + 24837000 = 0.
10, 30, 33116
Factor -16*d**4 + 3564442*d**3/3 - 29410375962*d**2 + 242669096802522*d - 50554785352590.
-2*(d - 24753)**3*(24*d - 5)/3
Let k**4 - 17558*k**3 + 69919021*k**2 + 62785827780*k + 12787132328100 = 0. Calculate k.
-390, 9169
Suppose 4*d**2 + 480*d - 109504 = 0. Calculate d.
-236, 116
Find p, given that -5*p**5/8 + 5679*p**4/8 + 208389*p**3/4 + 1965013*p**2/2 + 1916937*p = 0.
-34, -11/5, 0, 1206
Let -3*m**5/2 + 130941*m**4/4 - 714888345*m**3/4 + 2675416023*m**2/2 + 4730123304*m - 2677150440 = 0. What is m?
-3, 1/2, 10, 10908
Suppose 3063*g**5 + 205215*g**4 + 3711954*g**3 + 8618136*g**2 - 12562944*g + 24576 = 0. What is g?
-32, -4, 2/1021, 1
Factor 6966680*l**2/19 - 5224978*l/19 - 24/19.
2*(4*l - 3)*(870835*l + 4)/19
Find r such that 2*r**4/7 + 46454*r**3/7 + 318800192*r**2/7 + 540749059584*r/7 = 0.
-10352, -2523, 0
Suppose 5*j**2 + 1147364330*j + 65822245287817445 = 0. What is j?
-114736433
Let -2*b**4 + 391918*b**3 + 1567694*b**2 + 1959626*b + 783852 = 0. Calculate b.
-2, -1, 195963
Factor 3*u**3 + 4007841*u**2 + 1338503666409*u - 41497465283253.
3*(u - 31)*(u + 667989)**2
Solve 44*q**5 - 169164*q**4 + 162647312*q**3 - 103372848*q**2 - 59105344*q = 0.
-4/11, 0, 1, 1922
Factor 5*v**2 + 2657336790*v + 353071940774375205.
5*(v + 265733679)**2
What is v in -v**5 - 14441*v**4 + 86733*v**3 + 736841*v**2 + 635668*v = 0?
-14447, -4, -1, 0, 11
Suppose 9*d**5 + 329883*d**4 + 3022800394*d**3 - 1007820058*d**2 - 1679431299*d - 335878929 = 0. Calculate d.
-18327, -1/3, 1
Solve 87*v**4 + 340167*v**3 + 1687203*v**2 + 948105*v - 3163050 = 0.
-3905, -3, 30/29
Factor 4*c**5 + 1319132*c**4 - 5276568*c**3 + 7914872*c**2 - 5276588*c + 1319148.
4*(c - 1)**4*(c + 329787)
What is f in 3*f**4 - 516*f**3 + 24363*f**2 - 204606*f + 408240 = 0?
3, 7, 72, 90
Factor -