82*a + 723924 = 0.
2, 27, 6703
Factor -5*t**2 - 69895*t + 79384800.
-5*(t - 1056)*(t + 15035)
Factor -z**2/3 + 1830703*z/3 + 1830704/3.
-(z - 1830704)*(z + 1)/3
Find n such that 22*n**4/7 - 394*n**3/7 + 2186*n**2/7 - 3494*n/7 - 48 = 0.
-1/11, 3, 7, 8
Determine g so that -3*g**2 + 58314*g - 13765683 = 0.
239, 19199
Solve -u**5/3 + 13*u**4/3 + 169*u**3/3 + 47*u**2/3 - 448*u - 588 = 0 for u.
-7, -2, 3, 21
Suppose 9*k**5/2 - 969*k**4 + 92941*k**3/2 - 187682*k**2 + 189426*k - 56448 = 0. Calculate k.
2/3, 3, 64, 147
Let 2*k**4/7 - 19496*k**3/7 + 48053352*k**2/7 - 2634208064*k/7 + 9769225856/7 = 0. Calculate k.
4, 52, 4846
Find m, given that -3*m**2 - 14105850*m + 42317577 = 0.
-4701953, 3
Suppose -3*a**2 - 12248481*a - 24496950 = 0. Calculate a.
-4082825, -2
Determine b so that -2*b**4 - 1148*b**3 + 2746994*b**2 - 24637972*b + 21892128 = 0.
-1497, 1, 8, 914
Solve 2*d**4/3 - 3290*d**3 - 378194*d**2/3 + 407786*d = 0 for d.
-41, 0, 3, 4973
Find k such that -6*k**3/5 - 7864*k**2/5 + 203176*k/5 + 138944/5 = 0.
-1336, -2/3, 26
Factor 4*s**2/3 + 1110296*s/3 + 2960704.
4*(s + 8)*(s + 277566)/3
What is m in 3*m**5/8 + 765*m**4/4 + 11193*m**3/4 + 13671*m**2/2 - 129525*m/8 - 81675/4 = 0?
-495, -11, -5, -1, 2
Factor 3*i**2 - 2433252*i - 2433255.
3*(i - 811085)*(i + 1)
Suppose -14*x**4/5 - 18604*x**3/5 + 453678*x**2/5 - 238644*x = 0. Calculate x.
-9470/7, 0, 3, 21
Factor -j**2/11 - 2697098*j/11.
-j*(j + 2697098)/11
Determine i so that -8*i**5 + 525370*i**4 + 394050*i**3 - 1182100*i**2 + 262688*i = 0.
-2, 0, 1/4, 1, 65672
Suppose -361*g**4/2 - 3032077*g**3 + 29049723*g**2/2 - 22380948*g + 10888344 = 0. Calculate g.
-16803, 1, 36/19
Factor -30*u**2 - 55172*u - 715792.
-2*(u + 1826)*(15*u + 196)
Find z, given that 3*z**5/7 - 1382*z**4/7 + 55241*z**3/7 + 210362*z**2/7 - 66272*z + 199680/7 = 0.
-5, 2/3, 1, 48, 416
Factor -s**3 - 21305766*s**2 + 42611535*s - 21305768.
-(s - 1)**2*(s + 21305768)
Factor -2*a**3/15 - 259342*a**2/15 + 86448*a/5.
-2*a*(a - 1)*(a + 129672)/15
Factor 5*l**2/2 - 1169285*l/2 - 1753950.
5*(l - 233860)*(l + 3)/2
Let 22*g**4/9 - 44780*g**3/9 + 251574*g**2 - 36358192*g/9 + 187765760/9 = 0. Calculate g.
13, 280/11, 1984
Factor 8*u**2/3 + 1481348*u/3 + 740672/3.
4*(u + 185168)*(2*u + 1)/3
Suppose 3*k**4/8 + 32082*k**3 + 10774503*k**2/8 + 10389525*k/4 + 1282650 = 0. What is k?
-85510, -40, -1
Solve 2*w**2/9 + 10686086*w/9 - 10686088/9 = 0.
-5343044, 1
Solve 3001*x**4 - 54020*x**3 + 261123*x**2 - 210244*x + 140 = 0.
2/3001, 1, 7, 10
Factor 2*c**2 + 5904386*c + 11808764.
2*(c + 2)*(c + 2952191)
What is f in f**3 + 1294*f**2 - 20996*f - 47160 = 0?
-1310, -2, 18
Let 3388*z**2 + 53122*z - 17376 = 0. What is z?
-16, 543/1694
Suppose d**2/5 + 645014762*d/5 + 104011010799479161/5 = 0. Calculate d.
-322507381
Solve -b**5/11 - 18*b**4/11 - 8*b**3 - 126*b**2/11 - 5*b = 0.
-11, -5, -1, 0
Determine n so that 10*n**2/9 - 9674*n/3 - 4802944/9 = 0.
-157, 15296/5
Find w such that 9*w**5/5 - 49512*w**4/5 + 609472*w**3/5 - 211842*w**2 - 916633*w/5 - 32934 = 0.
-1/3, 3, 10, 5489
Find f such that -4*f**4 - 2156452*f**3 - 290613712584*f**2 + 7848086298640*f - 7557470429600 = 0.
-269570, 1, 26
Determine w, given that 3*w**3 + 418937*w**2 - 5586347*w + 1815567 = 0.
-139659, 1/3, 13
Solve -3*g**2/5 - 580239*g + 2901198/5 = 0 for g.
-967066, 1
Suppose -3*u**3 + 238485*u**2 - 2623044*u + 5722848 = 0. Calculate u.
3, 8, 79484
Suppose 5*u**3 + 7615*u**2 - 1217645*u + 1210025 = 0. Calculate u.
-1669, 1, 145
Factor -2*t**3/15 - 169204*t**2/15 + 9664122*t/5.
-2*t*(t - 171)*(t + 84773)/15
Find m, given that m**5 + 4805*m**4 + 671469*m**3 + 1328527*m**2 + 661862*m = 0.
-4661, -142, -1, 0
Solve -2*i**3/7 - 287732*i**2/7 + 3454296*i - 72550800 = 0 for i.
-143950, 42
Find q such that -3*q**3/4 + 23643*q**2/4 + 71010*q + 213111 = 0.
-6, 7893
Find n, given that -2*n**5/7 + 402*n**4/7 - 1842*n**3 - 955186*n**2/7 + 1940544*n + 80994816 = 0.
-27, 31, 112
Suppose 2*r**5 + 35700*r**4 + 159596464*r**3 + 2544376748*r**2 - 159596466*r - 2544412448 = 0. Calculate r.
-8917, -16, -1, 1
What is q in -q**2/4 - 249587*q/2 - 499173/4 = 0?
-499173, -1
Factor -n**2 + 833290*n + 4166475.
-(n - 833295)*(n + 5)
Solve 2*m**2/9 - 4832*m - 2441600/9 = 0.
-56, 21800
Find c, given that -2*c**4/11 + 126*c**3/11 + 258628*c**2/11 - 4158144*c/11 + 1514240 = 0.
-338, 8, 385
What is n in 2*n**2/7 + 11938676*n + 124715486553854 = 0?
-20892683
Let -4*g**3 + 24806*g**2 + 310600*g + 621400 = 0. Calculate g.
-10, -5/2, 6214
What is m in -m**4/6 + 7981*m**3/6 - 8058716*m**2/3 + 127936550*m + 1027638192 = 0?
-7, 56, 3966
Solve -4*l**5/7 - 1436*l**4/7 - 110428*l**3/7 - 800372*l**2/7 - 68032*l + 198352 = 0 for l.
-253, -98, -7, -2, 1
Let -2*h**3 + 70027010*h**2 = 0. Calculate h.
0, 35013505
Determine p, given that -p**4/4 - 348*p**3 - 56285*p**2/4 + 4660425*p/2 = 0.
-1345, -110, 0, 63
Solve 3*f**4 - 2883*f**3 - 207708*f**2 + 1110240*f = 0 for f.
-72, 0, 5, 1028
What is w in 2809*w**4/4 - 32626217*w**3/4 + 126767635*w**2/4 + 14664657*w/4 + 104499 = 0?
-3/53, 4, 11611
Factor -55293*c**2 - 9289218*c + 1008.
-3*(c + 168)*(18431*c - 2)
What is c in -c**5/8 + 19579*c**4/4 + 5575703*c**3/8 + 48115581*c**2/2 - 50226048*c + 25466400 = 0?
-72, 1, 39300
Let -4*l**3 + 1708*l**2 - 180384*l - 367632 = 0. Calculate l.
-2, 207, 222
Factor 2*g**2 - 12448328*g + 19370108749448.
2*(g - 3112082)**2
What is s in -13*s**3/2 + 28974*s**2 + 84715*s/2 + 13377 = 0?
-1, -6/13, 4459
Suppose 1718721*b**3/7 - 67870470*b**2 + 32672690688*b/7 + 21993455616/7 = 0. What is b?
-2/3, 60544/437
Solve -4*b**5/7 + 14976*b**4/7 - 1400832*b**3/7 = 0.
0, 96, 3648
Factor -3*l**2 + 1248*l + 333555.
-3*(l - 601)*(l + 185)
Solve 2*s**2/11 + 402032*s/11 + 1608096/11 = 0.
-201012, -4
Factor u**2/2 + 19968*u + 2511999/2.
(u + 63)*(u + 39873)/2
What is u in -36*u**3 + 28900*u**2 - 3201536*u - 712880 = 0?
-2/9, 133, 670
Determine c, given that 17*c**4/6 + 2353*c**3/2 + 266846*c**2/3 - 161206*c - 42840 = 0.
-315, -102, -4/17, 2
Factor v**3/4 + 200155*v**2 + 160245694213*v/4 - 480751493907/2.
(v - 6)*(v + 400313)**2/4
Factor p**2/2 + 598284*p + 4786240.
(p + 8)*(p + 1196560)/2
Suppose -3*r**5 + 26523*r**4 + 25597479*r**3 + 5913826857*r**2 + 17562696156*r + 11674440252 = 0. Calculate r.
-447, -2, -1, 9738
Factor 2*l**2 + 3957570*l - 15830312.
2*(l - 4)*(l + 1978789)
Factor -2*m**2/15 + 6958*m/15 - 944980/3.
-2*(m - 2554)*(m - 925)/15
Factor -21*f**2/2 + 37965*f - 1713861/2.
-3*(f - 3593)*(7*f - 159)/2
Factor -57*a**2 - 242289*a - 4747182.
-3*(a + 4231)*(19*a + 374)
Find a, given that -a**3/5 - 578912*a**2/5 - 2894539*a/5 - 2315628/5 = 0.
-578907, -4, -1
Solve 10*h**3/9 + 430778*h**2/9 + 1534557682*h/3 - 85286874058 = 0.
-21621, 821/5
Find y such that -3*y**2 - 161104056*y - 2162876404970928 = 0.
-26850676
Solve -3*c**2/5 - 108511968*c/5 - 981237266602752/5 = 0 for c.
-18085328
Determine v so that -5*v**4/3 + 444925*v**3/3 - 3300564420*v**2 + 56057847120*v + 197882625600 = 0.
-3, 20, 44484
Solve 24*q**4 - 64276*q**3 + 74672*q**2 + 760316*q - 128496 = 0 for q.
-3, 1/6, 4, 2677
Find h such that h**3/4 + 7971*h**2/4 - 75915*h/2 - 39950 = 0.
-7990, -1, 20
Factor 769*q**2/5 + 7605409*q/5 - 1978.
(q + 9890)*(769*q - 1)/5
Factor -x**2/3 - 1603010*x + 9618064/3.
-(x - 2)*(x + 4809032)/3
Solve -i**5/5 + 1299*i**4/5 + 64563*i**3/5 + 25045*i**2 + 61962*i/5 = 0.
-46, -1, 0, 1347
Let 5*d**4 + 6525*d**3 + 2299295*d**2 + 110446875*d + 945312500 = 0. What is d?
-625, -44, -11
Suppose 2*v**3/19 - 497474*v**2/19 + 1989854*v/19 + 2487330/19 = 0. Calculate v.
-1, 5, 248733
Let -2*j**2 + 8418*j + 3717272 = 0. Calculate j.
-403, 4612
Determine m, given that -4*m**2 - 196264*m - 675247956 = 0.
-45343, -3723
Factor -c**2 - 33338*c + 100023.
-(c - 3)*(c + 33341)
Find k, given that 8721*k**5 + 4831446*k**4 + 895409160*k**3 + 56100285504*k**2 + 108732200448*k + 149508096 = 0.
-184, -2, -4/2907
Find s, given that -3*s**4/2 + 446553*s**3 - 66491291691*s**2/2 + 1595019439944*s - 19137147202656 = 0.
24, 148827
Solve 2807*k**2/2 + 435079*k/2 - 465 = 0.
-155, 6/2807
Factor -5*b**2 - 12839680*b - 8242869125120.
-5*(b + 1283968)**2
Solve 4*r**2 + 210067384*r + 2758019113787716 = 0 for r.
-26258423
Determine o so that 12*o**3/5 - 4694900*o**2 + 172145624*o/5 + 125196864/5 = 0.
-2/3, 8, 1956201
Let 3*h**3 - 8616*