4
Find m, given that -2*m**3/3 - 71456*m**2 + 2430232*m - 13723904/3 = 0.
-107218, 2, 32
Factor -2*s**2/11 + 141497218*s/11 + 141497220/11.
-2*(s - 70748610)*(s + 1)/11
Factor -a**3/5 - 546*a**2/5 - 651*a/5 + 822214/5.
-(a - 37)*(a + 41)*(a + 542)/5
Determine k, given that -12*k**5/19 - 154*k**4/19 + 3698*k**3/19 + 11484*k**2/19 - 2016*k/19 = 0.
-24, -3, 0, 1/6, 14
Suppose b**4/5 - 391*b**3 - 21586*b**2/5 - 78592*b/5 - 94368/5 = 0. What is b?
-4, -3, 1966
Let -3*w**4 - 180188826*w**3 - 3607557121821240*w**2 - 24075614471689218463200*w - 48151214513151391152000 = 0. What is w?
-20020980, -2
Let -v**2/3 - 6606*v - 19817/3 = 0. What is v?
-19817, -1
Find c such that c**2/2 + 4337*c + 1034913/2 = 0.
-8553, -121
Let -m**3 - 2187*m**2 - 436007*m + 438195 = 0. Calculate m.
-1965, -223, 1
Suppose 2*x**3/3 - 443650*x**2/3 - 443656*x = 0. What is x?
-3, 0, 221828
Find j such that 4*j**4 + 6436192*j**3 + 2588855246656*j**2 - 144991032087552*j + 2029945095327744 = 0.
-804552, 28
Find y, given that -20*y**4 - 8955*y**3 - 683620*y**2 + 7084545*y - 1728270 = 0.
-346, -111, 1/4, 9
Determine q, given that -3*q**2 + 241191*q + 6997062 = 0.
-29, 80426
Suppose 3*g**4 - 805821*g**3 - 8864373*g**2 - 5641419*g + 118460538 = 0. Calculate g.
-7, 3, 268618
Let 13924*t**5 - 145732832*t**4 + 381488986740*t**3 - 878682548232*t**2 + 241443908352*t - 17738237952 = 0. Calculate t.
9/59, 2, 5232
Factor s**5/5 - 13856*s**4/5 + 30459*s**3.
s**3*(s - 13845)*(s - 11)/5
Find f, given that 6*f**4 + 718413*f**3 - 2514525*f**2 - 718413*f + 2514519 = 0.
-119739, -1, 1, 7/2
Determine t, given that -t**4/3 + 10180103*t**3/3 - 11514946383423*t**2 + 39074485124035341997*t/3 - 78148832068795523726/3 = 0.
2, 3393367
Factor 1347*s**2 + 576507*s - 3852.
3*(s + 428)*(449*s - 3)
Solve -5*b**3 + 1334825*b**2 - 4004410*b - 5339240 = 0 for b.
-1, 4, 266962
Solve -2*c**2/17 - 389584604*c/17 - 18972020459229602/17 = 0.
-97396151
Factor -860*m**3/9 - 144482*m**2/9 - 112*m/3.
-2*m*(m + 168)*(430*m + 1)/9
Let -5*w**2/2 + 105605*w/2 + 3814740 = 0. Calculate w.
-72, 21193
Factor 2*p**2/7 + 69718*p + 13175244/7.
2*(p + 27)*(p + 243986)/7
Let -f**2/5 - 106141*f/5 - 9217476 = 0. What is f?
-105705, -436
Factor p**3/5 + 37486*p**2/5 + 347711804*p/5 - 13485069272.
(p - 190)*(p + 18838)**2/5
Let j**2/2 - 625189*j/2 - 13129851 = 0. What is j?
-42, 625231
Factor -4*v**2 - 6482294*v + 3241148.
-2*(v + 1620574)*(2*v - 1)
Let -15*y**4 + 2005*y**3 - 63875*y**2 - 158765*y - 45750 = 0. Calculate y.
-2, -1/3, 61, 75
Factor l**3/9 + 7797893*l**2 + 46787357*l/3 + 70181035/9.
(l + 1)**2*(l + 70181035)/9
Let 3*o**4 - 1152*o**3 + 65508*o**2 + 135648*o = 0. What is o?
-2, 0, 72, 314
Solve o**2/4 - 335519*o/4 - 9228285/2 = 0.
-55, 335574
Find o, given that -2*o**4/5 + 4476*o**3/5 - 1777122*o**2/5 - 829102456*o/5 - 46711394496/5 = 0.
-216, -68, 1261
Factor -3*r**2/5 + 283054944*r/5 - 6676675110236928/5.
-3*(r - 47175824)**2/5
Determine m, given that 4*m**5 + 1008*m**4 - 73580*m**3 + 1334232*m**2 - 4225184*m = 0.
-314, 0, 4, 29
Find z such that -9*z**3 + 1340175*z**2 - 446718*z - 893448 = 0.
-2/3, 1, 148908
Find g such that -2*g**2/7 + 474598*g/7 + 8068744/7 = 0.
-17, 237316
Find g, given that g**3 + 362577*g**2 - 21031989*g + 304976035 = 0.
-362635, 29
Suppose 3*h**5/4 - 561*h**4/4 - 213669*h**3/4 - 3700971*h**2/4 - 8215101*h/2 = 0. What is h?
-177, -9, 0, 382
Factor 4*j**3 - 2690040*j**2 - 4*j + 2690040.
4*(j - 672510)*(j - 1)*(j + 1)
Determine a so that -4*a**3/7 + 47830*a**2/7 + 4458316*a/7 + 2217200/7 = 0.
-92, -1/2, 12050
Determine d so that -2*d**4/3 - 193534*d**3 + 4257990*d**2 - 70258166*d/3 = 0.
-290323, 0, 11
Determine d so that -4*d**2 - 127332944*d - 1013354914231696 = 0.
-15916618
Factor 3*u**3 - 800985*u**2 + 53467550856*u - 374233608756.
3*(u - 133494)**2*(u - 7)
Factor -5*v**2/3 - 119787995*v/3.
-5*v*(v + 23957599)/3
Find z such that 5*z**4 + 1485*z**3 + 115275*z**2 + 735875*z = 0.
-145, -7, 0
Let 10*h**5/7 - 110648*h**4 + 7434354*h**3/7 + 20909668*h**2/7 + 2345440*h + 3717312/7 = 0. What is h?
-1, -2/5, 12, 77444
Factor -2*j**2/13 + 2983124*j/13 + 5966256/13.
-2*(j - 1491564)*(j + 2)/13
Factor -31*h**2/2 - 1409*h/2 + 15903.
-(h + 62)*(31*h - 513)/2
Let -2*d**4/11 + 2856*d**3/11 - 1514012*d**2/11 + 353015880*d/11 - 30556392050/11 = 0. Calculate d.
295, 419
Solve -w**5 - 75*w**4 + 515*w**3 + 9375*w**2 + 13706*w - 23520 = 0.
-80, -7, -3, 1, 14
Let -121*v**4/8 + 7271*v**3 + 3869499*v**2/2 + 6273234*v + 5116608 = 0. What is v?
-188, -18/11, 672
What is m in -2*m**5/9 - 2342*m**4/9 + 97048*m**3/9 + 67816*m**2/3 = 0?
-1211, -2, 0, 42
Factor -2*j**2/11 - 125375948*j/11 - 1964891042112338/11.
-2*(j + 31343987)**2/11
Suppose v**3/3 + 1230*v**2 - 99277*v - 301520/3 = 0. Calculate v.
-3769, -1, 80
Let 5*l**5/9 + 6367*l**4/9 - 22969*l**3/9 + 21709*l**2/9 - 4*l/9 - 5108/9 = 0. What is l?
-1277, -2/5, 1, 2
Solve u**5 + 14159*u**4 + 296304*u**3 - 8393976*u**2 + 56487024*u - 119098512 = 0.
-14138, -39, 6
Find k such that 2*k**3/5 - 5606*k**2/5 + 122588*k/5 - 622944/5 = 0.
8, 14, 2781
Factor -2*b**4/9 - 400730*b**3/9 - 6691088992*b**2/3 - 2230318472*b.
-2*b*(b + 1)*(b + 100182)**2/9
Let 3*j**2/5 - 4926*j/5 - 812229/5 = 0. Calculate j.
-151, 1793
Factor h**4 - 63902*h**3 - 9800415*h**2.
h**2*(h - 64055)*(h + 153)
Determine a so that -25*a**3/8 - 8704605*a**2/8 + 870462*a - 348185/2 = 0.
-348185, 2/5
Let -4*a**4/3 + 14698156*a**3/3 + 24496960*a**2 = 0. Calculate a.
-5, 0, 3674544
What is r in -3*r**5/5 - 1923*r**4/5 - 60918*r**3 - 13411062*r**2/5 + 88899201*r/5 - 137617623/5 = 0?
-429, -109, 3
Factor -44775*s**2 - 11541*s - 390.
-3*(25*s + 1)*(597*s + 130)
Determine k so that -2*k**4/3 + 3022*k**3/3 + 2149646*k**2/3 + 309291266*k/3 - 1103626420 = 0.
-283, 10, 2067
Find a such that -a**4/6 - 4709*a**3/6 - 105004*a**2/3 - 298538*a/3 - 65296 = 0.
-4664, -42, -2, -1
Factor -o**2 - 7257*o + 18762138.
-(o - 2022)*(o + 9279)
Find v, given that 94*v**2/3 + 1354*v - 50020/3 = 0.
-2501/47, 10
Solve 3*o**3 + 279*o**2 + 1068*o - 100800 = 0 for o.
-84, -25, 16
Factor -3*z**2 + 5520*z - 184212.
-3*(z - 1806)*(z - 34)
Solve z**5 + 8811*z**4 + 18849867*z**3 - 2461032983*z**2 + 76753368216*z + 79233242256 = 0 for z.
-4468, -1, 63
Solve -5*g**4 - 1675*g**3 - 109850*g**2 + 4145400*g - 11401920 = 0.
-214, -148, 3, 24
Find c such that 2*c**4 - 374*c**3 - 19248*c**2 + 596296*c + 25760960 = 0.
-38, 40, 223
Find q, given that 32*q**3/11 + 1594*q**2 + 1602488*q/11 - 100224/11 = 0.
-432, -116, 1/16
Let 1934427*s**3 - 16944906*s**2 + 48249492*s - 44194776 = 0. What is s?
2, 2714/803
Suppose 7*f**4 - 2458*f**3 - 32689*f**2 + 929644*f - 132132 = 0. Calculate f.
-26, 1/7, 14, 363
Let 3*u**5 + 3837*u**4 + 303126*u**3 - 1604172*u**2 + 675576*u + 2579040 = 0. Calculate u.
-1194, -90, -1, 2, 4
Find y, given that -25*y**4 - 2633385*y**3 - 69343742095*y**2 + 180307317945*y - 110960942440 = 0.
-52669, 1, 8/5
Suppose -f**3 + 524*f**2 + 27932*f - 10975200 = 0. What is f?
-150, 136, 538
What is i in i**3 + 16282*i**2 - 948035*i - 5147100 = 0?
-16340, -5, 63
What is p in 5*p**3/3 + 26790*p**2 + 883555*p/3 + 481890 = 0?
-16063, -9, -2
Suppose m**2/4 + 107403*m/4 + 9820553 = 0. Calculate m.
-107036, -367
Find n such that -n**2/2 + 167009*n/2 - 417510 = 0.
5, 167004
Factor -t**2/5 + 14398*t/5 - 5512025.
-(t - 12125)*(t - 2273)/5
Let -803*b**2/3 + 4821*b - 54 = 0. Calculate b.
9/803, 18
Factor -3*d**3/2 - 729*d**2/2 - 333*d + 7260.
-3*(d - 4)*(d + 5)*(d + 242)/2
Factor 4*m**2/3 - 263716*m/3 - 16894208/3.
4*(m - 65993)*(m + 64)/3
Find f, given that -f**2 + 655465*f - 13764324 = 0.
21, 655444
Solve p**5 - 45*p**4 - 781*p**3 + 43677*p**2 - 159588*p = 0.
-31, 0, 4, 33, 39
Let m**4 + 1584952*m**3 + 628032474982*m**2 + 11304199409256*m + 50868319633209 = 0. Calculate m.
-792467, -9
Factor 2*g**2 + 24176*g + 2682624.
2*(g + 112)*(g + 11976)
Suppose w**3/3 + 18158*w**2 + 2558069*w/3 = 0. Calculate w.
-54427, -47, 0
Factor q**2/7 + 82890*q/7 + 18569187.
(q + 1599)*(q + 81291)/7
Suppose -2*i**2/5 + 201260282*i/5 = 0. What is i?
0, 100630141
Determine o so that -9*o**5/5 + 9372*o**4/5 - 386235*o**3 + 147163692*o**2/5 - 3860515152*o/5 + 1270558272/5 = 0.
1/3, 76, 92, 797
Find k, given that -2*k**4/7 - 617254*k**3/7 + 617268*k**2 = 0.
-308634, 0, 7
Factor -2*y**3 + 3288*y**2 + 6251