 1
Find t, given that t**3 - 5867*t**2 + 64434*t - 105408 = 0.
2, 9, 5856
Let -5*t**4 + 2795*t**3 + 22649515*t**2 + 45290625*t + 22643910 = 0. What is t?
-1866, -1, 2427
Determine q so that 2*q**2 + 41228*q - 64550224 = 0.
-22076, 1462
Determine a, given that 19*a**4 + 4419*a**3/2 - 5473*a**2/2 - 3987*a + 940 = 0.
-235/2, -1, 4/19, 2
Factor u**4 - 532*u**3 + 77587*u**2 - 1763496*u - 1841616.
(u - 252)**2*(u - 29)*(u + 1)
Determine p, given that 22*p**5/3 - 5926*p**4/3 - 5252*p**3 - 5456*p**2/3 + 4352*p/3 = 0.
-2, -1, 0, 4/11, 272
Determine i so that -133430*i**3 + 333605*i**2 - 133505*i + 30 = 0.
3/13343, 1/2, 2
Factor -4*a**3 - 251108*a**2.
-4*a**2*(a + 62777)
Determine i so that 5*i**2 - 243230*i + 2188665 = 0.
9, 48637
Factor 3*d**4 + 3888*d**3 - 45689568*d**2 - 30423133440*d + 183686241043200.
3*(d - 2492)**2*(d + 3140)**2
Factor 2*m**3/5 - 285204*m**2 + 1426018*m/5.
2*m*(m - 713009)*(m - 1)/5
Determine g so that 77418*g**4 - 1739*g**3 - 929066*g**2/3 + 6956*g + 200/3 = 0.
-2, -1/138, 50/1683, 2
Let 28*h**2 - 34096*h - 146640 = 0. Calculate h.
-30/7, 1222
What is v in -74*v**4/7 - 10468554*v**3/7 + 21503280*v**2/7 - 1131752*v/7 = 0?
-141469, 0, 2/37, 2
Suppose j**4 + 74666*j**3 + 1394723209*j**2 + 36224956560*j + 235380225600 = 0. What is j?
-37320, -13
Factor -5*o**5 + 1601636*o**4 - 320327*o**3.
-o**3*(o - 320327)*(5*o - 1)
Let f**4 - 1199*f**3 - 3002342*f**2 - 1171029396*f + 1174032936 = 0. What is f?
-678, 1, 2554
Find j such that -5*j**2 + 24396025*j + 146376330 = 0.
-6, 4879211
Suppose -68*g**2/5 - 166997536*g/5 - 19646768/5 = 0. Calculate g.
-2455846, -2/17
Determine o so that -4*o**4 - 1396*o**3 + 35724*o**2 - 31516*o - 68632 = 0.
-373, -1, 2, 23
Find l such that l**2/4 + 83953*l/4 + 3983255/2 = 0.
-83858, -95
Factor -4*t**2 - 299964*t - 5997680.
-4*(t + 20)*(t + 74971)
Solve -30*a**5 - 3455*a**4 - 70855*a**3 + 80830*a**2 + 417000*a + 221760 = 0 for a.
-88, -28, -3/2, -2/3, 3
Factor 8*k**2/11 - 12956458*k/11 - 9717348/11.
2*(k - 1619558)*(4*k + 3)/11
What is l in -3*l**2 - 11389359*l - 387234738 = 0?
-3796419, -34
Factor 3*a**2/2 - 69999*a/2 + 908973.
3*(a - 23307)*(a - 26)/2
Let -2*y**2/5 - 3767118*y/5 - 11301336/5 = 0. What is y?
-1883556, -3
Suppose 2*d**3/5 - 273384*d**2/5 - 7383146*d/5 + 8750016 = 0. What is d?
-32, 5, 136719
Determine w so that 5*w**3 - 35535*w**2 + 25172250*w + 177948680 = 0.
-7, 806, 6308
Determine p so that p**4/3 + 12293*p**3 + 36876*p**2 - 4*p/3 - 49168 = 0.
-36876, -2, 1
Let -11*a**4/2 - 1255*a**3 + 127966*a**2 - 919172*a - 171360 = 0. Calculate a.
-306, -2/11, 8, 70
Determine l, given that -4*l**4 + 7494364*l**3 + 22483120*l**2 + 14988752*l = 0.
-2, -1, 0, 1873594
Determine q, given that 2*q**2/3 + 12478*q/3 - 22101048 = 0.
-9668, 3429
Find s, given that -4*s**3 + 1516*s**2 + 593168*s + 36240720 = 0.
-174, -82, 635
Determine d so that -3*d**2/7 - 82058982*d/7 - 561139710573027/7 = 0.
-13676497
Factor 4*l**3/7 - 28916788*l**2/7 - 57833592*l/7.
4*l*(l - 7229199)*(l + 2)/7
Solve 3*c**5 + 909*c**4 + 42549*c**3 - 1247865*c**2 + 4451544*c - 4266660 = 0 for c.
-235, -89, 2, 17
Solve -3*i**4 + 6814070*i**3 - 11356776*i**2 + 2271354*i + 2271355 = 0.
-1/3, 1, 2271355
Let -2*m**2 - 42872562*m - 85745116 = 0. What is m?
-21436279, -2
Let 3*n**2 - 9823464*n + 8041703746608 = 0. What is n?
1637244
What is p in 136*p**2/11 + 2154*p + 5220/11 = 0?
-174, -15/68
Factor -2*n**3/13 - 1158264*n**2/13 - 11582490*n/13 - 28956100/13.
-2*(n + 5)**2*(n + 579122)/13
Factor 2*d**2/3 + 1712*d/3 + 119130.
2*(d + 361)*(d + 495)/3
Solve -b**2 - 300167*b + 4802928 = 0.
-300183, 16
Find p, given that -2*p**2/7 + 89084948*p/7 - 178169888/7 = 0.
2, 44542472
Factor -513*m**2 - 23996*m + 5405.
-(m + 47)*(513*m - 115)
Factor 41*j**3/9 - 3559*j**2/9 - 4304*j/9 - 704/9.
(j - 88)*(j + 1)*(41*j + 8)/9
Determine f, given that 3110*f**5 + 8184*f**4 - 54874*f**3 - 98940*f**2 - 44752*f - 5760 = 0.
-5, -1, -2/5, -72/311, 4
Factor p**2/3 - 3790*p/3 + 50000.
(p - 3750)*(p - 40)/3
Let -2*y**3 - 32436*y**2 - 1036416*y - 8287232 = 0. Calculate y.
-16186, -16
What is g in 46208*g**3 - 192736*g**2 - 130382*g + 879844 = 0?
-2, 469/152
Solve -d**4/7 - 1998*d**3/7 + 77372*d**2/7 + 7992*d/7 - 309472/7 = 0 for d.
-2036, -2, 2, 38
What is w in -4*w**4 - 32868*w**3 + 394848*w**2 - 1184976*w = 0?
-8229, 0, 6
Determine y so that -3*y**3 - 297591*y**2 - 107038302*y + 107335896 = 0.
-98836, -362, 1
Factor -2*i**2 - 48872*i - 1366848.
-2*(i + 28)*(i + 24408)
Determine y so that y**3/3 - 8704*y**2 + 58487280*y - 64828803200/3 = 0.
392, 12860
Determine y so that -5*y**4 - 4823*y**3 + 576206*y**2 + 581024*y = 0.
-1072, -1, 0, 542/5
Solve -3*r**5 + 5043*r**4 - 1357740*r**3 - 1413300*r**2 + 13668528*r - 10902528 = 0 for r.
-4, 1, 2, 338, 1344
Factor 25*u**2 + 18210310*u - 10926195.
5*(u + 728413)*(5*u - 3)
Solve -s**2 - 95225*s - 190446 = 0.
-95223, -2
Factor 3*z**2/5 - 38553*z/5 + 24737526.
3*(z - 6666)*(z - 6185)/5
Solve -4*o**2 - 36754136*o - 84429157069156 = 0.
-4594267
Suppose q**2/6 - 125852*q/3 + 83901/2 = 0. What is q?
1, 251703
Factor -36*s**2 + 20780212*s + 80812480.
-4*(s - 577232)*(9*s + 35)
Let -3*d**4/4 - 64821*d**3/2 - 119138004*d**2 - 152029943520*d - 65359495140096 = 0. Calculate d.
-39302, -1304
Factor -t**2/4 + 4915*t/2 + 328746.
-(t - 9962)*(t + 132)/4
Determine z so that -3*z**4 + 57429*z**3 - 114849*z**2 + 57423*z = 0.
0, 1, 19141
What is y in y**2/6 + 27403*y/2 - 411095/3 = 0?
-82219, 10
Solve -2*o**4/5 - 335846*o**3/5 + 11756484*o**2/5 - 96744456*o/5 - 108836784/5 = 0.
-167958, -1, 18
Find n such that -2*n**2/9 + 269162*n/9 + 2333188/3 = 0.
-26, 134607
Determine i, given that -6*i**5 + 409689*i**4 - 614511*i**3 - 614526*i**2 + 409680*i = 0.
-1, 0, 1/2, 2, 68280
What is k in 3*k**3 - 3102*k**2 + 763347*k + 20148552 = 0?
-24, 529
Determine g so that g**5 - 608*g**4 - 621*g**3 + 7308*g**2 = 0.
-4, 0, 3, 609
Factor -2*s**3 + 6244*s**2 - 5949490*s + 1572781928.
-2*(s - 1343)**2*(s - 436)
Factor 3*u**3 - 5871*u**2 - 41208*u - 70704.
3*(u - 1964)*(u + 3)*(u + 4)
Determine y, given that -12100*y**2 - 1316137680*y - 35789636213136 = 0.
-2991222/55
Determine b, given that 21*b**3 - 161585793*b**2 + 310832923701123*b + 133214139836649 = 0.
-3/7, 3847281
Factor 122*z**2/15 - 3392128*z/5 - 166826/15.
2*(z - 83413)*(61*z + 1)/15
Solve -4*n**4/9 - 21832*n**3/9 + 31600*n**2 - 503288*n/9 + 240724/9 = 0.
-5471, 1, 11
Let -2*a**2/23 - 2472664*a/23 - 764258407112/23 = 0. What is a?
-618166
Let r**5/3 + 10*r**4/3 - 122*r**3/3 - 1220*r**2/3 + 121*r/3 + 1210/3 = 0. What is r?
-11, -10, -1, 1, 11
Find u such that -2*u**4/9 + 9770*u**3/9 - 9758*u**2/3 - 87866*u/9 - 48820/9 = 0.
-1, 5, 4882
Suppose -3*m**3/7 - 45837*m**2/7 + 6055356*m/7 - 11927340/7 = 0. Calculate m.
-15410, 2, 129
Determine r so that 3*r**4 + 286272*r**3 + 9157980*r**2 + 33196752*r + 32051712 = 0.
-95392, -28, -2
Factor 2*i**3/19 - 28224*i**2/19 + 760590*i/19.
2*i*(i - 14085)*(i - 27)/19
Factor -2*q**2/17 + 36297044*q/17 - 4270240.
-2*(q - 18148520)*(q - 2)/17
Solve -4*c**2 + 84508*c + 2369360 = 0.
-28, 21155
Solve -2*i**4 + 11524*i**3 + 487802*i**2 - 1544044*i + 1044720 = 0.
-45, 1, 2, 5804
Factor q**2/3 + 2759*q/3 - 1562162/3.
(q - 482)*(q + 3241)/3
Determine l, given that -3*l**3/8 - 309837*l**2/2 - 2478687*l/8 - 619671/4 = 0.
-413114, -1
Factor 3*w**3/5 + 46494*w**2/5 + 175304979*w/5 - 37722579012/5.
3*(w - 204)*(w + 7851)**2/5
Factor -3*z**2 - 16563480*z + 16563483.
-3*(z - 1)*(z + 5521161)
Factor 4*s**2 - 89380*s + 189644616.
4*(s - 19971)*(s - 2374)
Solve -3*g**3/4 + 1245309*g**2/8 + 18058287*g/8 - 4670235/4 = 0 for g.
-15, 1/2, 207566
Let -2*t**5 - 6356*t**4 + 1008114*t**3 - 13992956*t**2 + 43387456*t + 58394880 = 0. Calculate t.
-3330, -1, 8, 137
Factor 5*l**2 - 743280*l + 50519920.
5*(l - 148588)*(l - 68)
Suppose 2*a**4 - 438*a**3 + 2566*a**2 - 2106*a - 5112 = 0. What is a?
-1, 3, 4, 213
Determine n so that 7*n**3/3 + 171076*n**2 - 173087572*n/3 - 16498496 = 0.
-73654, -2/7, 336
Determine s, given that -2*s**2/7 + 28577592*s/7 - 102084845564808/7 = 0.
7144398
Find w, given that 5*w**2 - 3956210*w + 324375600 = 0.
82, 791160
Solve 5*c**4 - 6990*c**3 + 13925*c**2 + 48840*c + 27920 = 0 for c.
-1, 4, 1396
What is p in p**5/11 - 15222*p**4/11 - 717895*p**3/11 + 3848200*p**2/11 - 6291036*p/11 + 317