6, -20
Find c such that 45*c**4 + 320565*c**3 + 561035345*c**2 - 35146437365*c + 498256597410 = 0.
-10777/3, 22, 39
Find p such that -70638498*p**3/5 - 657616722*p**2/5 - 39704992*p - 3047040 = 0.
-9, -920/5943
Factor 48*c**2/7 - 204150*c/7 - 83904.
6*(c - 4256)*(8*c + 23)/7
Solve -l**3 + 227581*l**2 - 12948619255*l + 38843809563 = 0.
3, 113789
Factor -o**3 + 1647899*o**2 + 16479065*o + 41197725.
-(o - 1647909)*(o + 5)**2
Let -x**5/2 + 37*x**4 + 25434*x**3 - 153547*x**2 + 461293*x/2 - 102570 = 0. Calculate x.
-195, 1, 4, 263
Determine w so that -99375*w**2/2 - 99377*w - 4 = 0.
-2, -4/99375
Suppose -144*p**5 - 8966*p**4 - 65566*p**3 - 70742*p**2 - 11730*p + 2268 = 0. What is p?
-54, -7, -1, -3/8, 1/9
Factor -5*n**4 + 820940*n**3 - 33695482240*n**2 - 134795064320*n.
-5*n*(n - 82096)**2*(n + 4)
Find a, given that -16*a**3/3 + 928296*a**2 + 464149*a + 174056/3 = 0.
-1/4, 174056
Factor -z**2 - 2659612*z - 61170547.
-(z + 23)*(z + 2659589)
Determine j, given that -2*j**2/13 - 1490058*j/13 + 114620 = 0.
-745030, 1
What is p in 3*p**4 + 33135*p**3 + 27413817*p**2 - 54927051*p + 27480096 = 0?
-10144, -903, 1
Factor 2*d**3/11 - 272390*d**2/11 + 2723700*d/11.
2*d*(d - 136185)*(d - 10)/11
Solve -4*p**4/7 + 44446*p**3 + 66670*p**2 + 155564*p/7 = 0 for p.
-1, -1/2, 0, 77782
Determine q, given that -3*q**5/5 - 7308*q**4/5 - 385863*q**3/5 + 51138*q**2/5 + 531468*q - 2315304/5 = 0.
-2382, -54, -3, 1, 2
Factor -2*j**2/25 + 15685484*j/25 - 30754301039282/25.
-2*(j - 3921371)**2/25
Solve 3*i**3/8 - 119331*i**2 + 75945112335*i/8 + 75947021643/4 = 0 for i.
-2, 159109
Suppose u**4/2 + 376467*u**3/2 + 35430532851*u**2/2 - 248032177183*u/2 = 0. Calculate u.
-188237, 0, 7
What is u in -39*u**4 + 20638*u**3 - 245659*u**2 + 43428*u = 0?
0, 7/39, 12, 517
Determine l, given that -2*l**3/9 + 4576*l**2/9 - 149290*l/9 + 1037300/9 = 0.
10, 23, 2255
Determine i so that -1977*i**5/8 + 294531*i**4/8 - 1669413*i**3/4 + 1632027*i**2 - 2131932*i - 46032 = 0.
-14/659, 4, 137
Determine i, given that i**2/5 - 19177*i/5 + 946350 = 0.
250, 18927
Factor 5*i**3 + 906010*i**2 + 7247715*i - 8153730.
5*(i - 1)*(i + 9)*(i + 181194)
Factor 5*m**2 - 57214930*m + 57214925.
5*(m - 11442985)*(m - 1)
Factor w**2 + 31701122*w + 251240284014721.
(w + 15850561)**2
Solve -3*a**3/5 - 1971*a**2/5 - 82845*a - 5641125 = 0 for a.
-307, -175
Determine g so that -20*g**2 + 32538832*g - 19523292 = 0.
3/5, 1626941
Factor 2*q**2 + 64488*q + 1610950.
2*(q + 25)*(q + 32219)
Let 2*x**4/7 + 1758*x**3/7 - 8306*x**2/7 - 1096686*x/7 = 0. Calculate x.
-883, -23, 0, 27
Determine b so that -5*b**2 + 127171350*b - 381514005 = 0.
3, 25434267
Solve 3*m**2 + 150699*m + 15189996 = 0.
-50132, -101
Suppose a**2/4 + 14481*a/2 + 3529784 = 0. What is a?
-28466, -496
Solve v**2/4 + 16152789*v/2 + 260912592478521/4 = 0.
-16152789
What is i in -3604005*i**5 + 289582863*i**4 - 3316212276*i**3/5 + 992975652*i**2/5 - 16130016*i/5 + 67392/5 = 0?
12/1415, 1/3, 2, 78
Determine z, given that -2*z**3/11 + 1846*z**2/11 - 375668*z/11 + 293904 = 0.
9, 286, 628
Solve 3*y**5/5 - 2988*y**4/5 + 11199*y**3 - 299058*y**2/5 + 91872*y/5 + 375168 = 0 for y.
-2, 5, 8, 977
Suppose -m**3 - 93959*m**2 + 4511760*m - 54148032 = 0. Calculate m.
-94007, 24
Factor d**4/4 - 9745*d**3 + 248480307*d**2/2 - 485992886657*d - 1636818267048223/4.
(d - 13229)**3*(d + 707)/4
Suppose -69*r**4 + 10531*r**3 + 177857*r**2 + 65673*r + 2520 = 0. What is r?
-15, -1/3, -1/23, 168
Determine x, given that x**2 - 420725*x - 47133744 = 0.
-112, 420837
Factor 2*x**2 + 5454*x - 2319548.
2*(x - 374)*(x + 3101)
Let 5*d**5 + 805*d**4 + 42860*d**3 + 838220*d**2 + 5301760*d + 4505600 = 0. What is d?
-64, -22, -10, -1
Factor 21*j**2 + 13971*j + 586170.
3*(j + 45)*(7*j + 4342)
Factor d**4/2 + 211*d**3/2 + 1488*d**2 + 3528*d.
d*(d + 3)*(d + 12)*(d + 196)/2
Solve 2*y**4/13 - 8480*y**3/13 + 33894*y**2/13 - 25416*y/13 = 0 for y.
0, 1, 3, 4236
Solve -4*f**5 + 46180*f**4 + 1713016*f**3 + 12976640*f**2 - 55593600*f = 0.
-20, 0, 3, 11582
Find z, given that -4*z**3/3 + 17996*z**2/3 - 12660956*z/3 + 2441666260/3 = 0.
407, 3685
Let -j**3/5 - 853268*j**2/5 - 36403655296*j - 728059453696/5 = 0. What is j?
-426632, -4
Find c, given that 1262*c**3/9 - 107564*c**2/3 + 2286592*c + 6225920/9 = 0.
-190/631, 128
Find v, given that -v**2/2 - 1977319*v - 3909790427761/2 = 0.
-1977319
Factor 2*y**3/7 + 6726*y**2/7 + 5415696*y/7 - 406362528/7.
2*(y - 69)*(y + 1716)**2/7
Determine x, given that 2*x**5 - 470*x**4 - 154074*x**3 + 947606*x**2 + 2355544*x + 1254336 = 0.
-188, -1, 8, 417
Let -w**4/4 - 487*w**3/4 + 17911*w**2/4 + 100927*w/4 - 445455/2 = 0. Calculate w.
-521, -9, 5, 38
Determine n, given that n**2/4 + 450947*n/4 + 789145 = 0.
-450940, -7
Let j**4/4 + 367*j**3/2 - 12325*j**2/4 - 122029*j/2 - 57750 = 0. Calculate j.
-750, -11, -1, 28
Find h, given that h**2/3 - 14584*h + 21070055/3 = 0.
487, 43265
Suppose -2*n**4/9 + 1824148*n**3 - 33691115167106*n**2/9 + 7486909009136*n - 33691082332448/9 = 0. Calculate n.
1, 4104332
Find o such that -o**3/2 + 46321*o**2/2 + 46323*o = 0.
-2, 0, 46323
Factor -3*u**3 + 29603934*u**2 - 73032771960288*u + 146065425504864.
-3*(u - 4933988)**2*(u - 2)
Factor 2*y**3 + 39300*y**2 + 78592*y.
2*y*(y + 2)*(y + 19648)
Let q**2 - 201285*q - 9865366 = 0. What is q?
-49, 201334
Let 2*g**5/7 - 654*g**4/7 + 6832*g**3 + 537168*g**2/7 + 703008*g/7 - 3926880/7 = 0. Calculate g.
-6, 2, 135, 202
Factor s**2/2 - 2508112*s + 3145312902272.
(s - 2508112)**2/2
Suppose p**3 - 1666*p**2 - 410712*p = 0. Calculate p.
-218, 0, 1884
Factor -2015*c**3 + 12315*c**2 - 19485*c + 2025.
-5*(c - 3)**2*(403*c - 45)
Factor 3*u**2 + 78312*u + 13998960.
3*(u + 180)*(u + 25924)
Factor -3*o**2/5 - 217359*o/5 - 3476976/5.
-3*(o + 16)*(o + 72437)/5
Factor -3*r**2 - 25464693*r - 76394052.
-3*(r + 3)*(r + 8488228)
Determine x so that -34*x**2 - 536858*x + 536892 = 0.
-268446/17, 1
Determine n, given that -n**3/4 + 345287*n**2 - 119223112369*n = 0.
0, 690574
Solve -25*g**4/3 + 50722920*g**3 + 852145675*g**2/3 + 334771610*g - 182602680 = 0 for g.
-3, 2/5, 6086756
Let 5*p**2 + 17853800*p + 15937908722000 = 0. Calculate p.
-1785380
Factor -5*f**3/4 - 34225*f**2/4 - 70285215*f/4 - 37830547755/4.
-5*(f + 839)*(f + 3003)**2/4
Find s such that -2280*s**3 + 12387235*s**2 + 124127565*s + 272150 = 0.
-10, -1/456, 5443
Solve -y**5/10 + 9931*y**4 - 516265*y**3/2 - 585784*y**2 + 4169928*y/5 = 0.
-3, 0, 1, 28, 99284
Find r such that 3*r**2/2 + 6039*r + 1104192 = 0.
-3834, -192
Let 3*o**2/2 - 9757620*o - 19515243/2 = 0. Calculate o.
-1, 6505081
Determine u, given that 147*u**5 + 113841*u**4 + 20596056*u**3 + 146276148*u**2 - 88640928*u + 12903936 = 0.
-496, -271, -8, 2/7
Suppose -3*q**2/5 + 5897616*q/5 - 2898489540288/5 = 0. Calculate q.
982936
Factor 40*v**2 + 4411105*v - 1654170.
5*(v + 110278)*(8*v - 3)
Factor 2*r**3/3 - 293530*r**2/3 - 16442384*r/3 - 230215328/3.
2*(r - 146821)*(r + 28)**2/3
Factor 423*f**3/5 + 988134*f**2/5 + 577080768*f/5 + 8185344/5.
3*(f + 1168)**2*(141*f + 2)/5
Determine m so that 9*m**2 - 11926290*m + 3975429 = 0.
1/3, 1325143
Determine w, given that -19*w**3/7 + 913*w**2/7 + 35194*w/7 - 36088/7 = 0.
-26, 1, 1388/19
Let 3*k**5/7 + 3369*k**4/7 + 123897*k**3/7 + 224271*k**2/7 - 50220*k = 0. What is k?
-1085, -36, -3, 0, 1
Let 14*h**5 + 1249784*h**4 + 25348718*h**3 + 153334236*h**2 + 244188648*h + 57834000 = 0. Calculate h.
-89250, -9, -2, -2/7
Solve -3888*f**5 - 998568*f**4 - 34626132*f**3 - 1124815498*f**2/3 - 1044895180*f/3 + 29603690192/3 = 0 for f.
-218, -257/18, 4
Determine y so that 8*y**5 + 5532*y**4 + 1040976*y**3 + 55367024*y**2 - 544722432*y + 258388992 = 0.
-424, -138, 1/2, 8
Factor 2*g**2/15 - 92969352*g/5 + 3241237654237464/5.
2*(g - 69727014)**2/15
Find u such that 2*u**5/3 - 13478*u**4 + 4983290*u**3/3 - 1512858*u**2 - 49105324*u/3 - 13181008 = 0.
-2, -1, 4, 123, 20093
Factor -2*f**2 + 208602*f + 3129480.
-2*(f - 104316)*(f + 15)
Let -4*a**3 + 88908*a**2 - 888584*a - 2132832 = 0. What is a?
-2, 12, 22217
Let c**4 + 3462*c**3 - 87088*c**2 + 303306*c - 219681 = 0. What is c?
-3487, 1, 3, 21
Let -3*a**4/7 - 893640*a**3/7 - 17871471*a**2/7 + 38423874*a/7 - 19658760/7 = 0. Calculate a.
-297860, -22, 1
Solve 121*f**5 - 1716*f**4 + 5765*f**3 + 9170*f**2 - 42336*f - 43904 = 0 for f.
-2, -1, 56/11, 7
Fac