2340*g**3 - 67920*g**2 - 222358*g + 50284 = 0.
-967, -13, -1, 2/9, 1
Determine r so that -2*r**2/3 + 1247276*r/3 - 194462177522/3 = 0.
311819
Determine a so that -2*a**2/3 + 183142*a/3 + 183148 = 0.
-3, 91574
Factor -b**2/2 - 705254*b - 248691602258.
-(b + 705254)**2/2
Determine n, given that 5*n**2 - 42540*n - 298025 = 0.
-7, 8515
Suppose -6*p**2/5 - 2087*p/5 + 348/5 = 0. What is p?
-348, 1/6
Factor 3*n**2/4 - 118065*n/2 + 4646448075/4.
3*(n - 39355)**2/4
Let 2*b**2/3 + 32564*b/3 + 132551762/3 = 0. What is b?
-8141
Solve 3*q**5 + 582*q**4 - 588*q**3 - 582*q**2 + 585*q = 0.
-195, -1, 0, 1
Let a**2 + 136*a + 4623 = 0. Calculate a.
-69, -67
What is y in -2*y**2/7 - 468*y + 154928/7 = 0?
-1684, 46
What is x in 3*x**2 - 144*x - 6384 = 0?
-28, 76
Determine p so that 2*p**2 + 116456*p + 1695249992 = 0.
-29114
Solve 3*v**5/5 - 1614*v**4/5 + 288363*v**3/5 - 3382884*v**2 - 6940080*v - 3499200 = 0 for v.
-1, 180
Factor 2*j**2/3 - 92584*j/3 + 1071474632/3.
2*(j - 23146)**2/3
Factor -105*k**2/4 + 46715*k/4 - 10545.
-5*(k - 444)*(21*k - 19)/4
Factor -3*j**3 - 193065*j**2 - 3106077984*j + 3106271052.
-3*(j - 1)*(j + 32178)**2
Suppose -w**2/3 + 53813*w/3 - 35874 = 0. Calculate w.
2, 53811
Factor 5*o**4 - 2395*o**3 - 26915*o**2 - 17885*o + 360150.
5*(o - 490)*(o - 3)*(o + 7)**2
Solve m**3/2 - 230465*m**2/2 - 460936*m - 460938 = 0 for m.
-2, 230469
Determine a, given that -56*a**3/3 - 2186*a**2/9 - 6746*a/9 - 80/9 = 0.
-8, -5, -1/84
Solve m**3 + 14*m**2 - 72*m = 0 for m.
-18, 0, 4
Let -m**3/9 + 15416*m**2/9 - 59413264*m/9 = 0. Calculate m.
0, 7708
Factor -4*m**3 + 12100*m**2 - 9405228*m + 382369932.
-4*(m - 1491)**2*(m - 43)
Factor -h**3 - 7627*h**2 - 15072776*h - 2002366652.
-(h + 143)*(h + 3742)**2
Find v such that -5*v**3 - 125*v**2 - 190*v + 3080 = 0.
-22, -7, 4
Factor t**2/4 - 699*t/4 + 1211.
(t - 692)*(t - 7)/4
Factor -4*m**2 - 125756*m + 251528.
-4*(m - 2)*(m + 31441)
What is o in -12*o**3 - 245610*o**2 - 5028986979*o/4 - 5025057987 = 0?
-40927/4, -4
Factor -4*h**4 + 61478*h**3 + 30740*h**2.
-2*h**2*(h - 15370)*(2*h + 1)
Factor -4*u**5 + 14336*u**4 - 12859384*u**3 + 25675776*u**2 - 12830724*u.
-4*u*(u - 1791)**2*(u - 1)**2
Solve a**3/4 + 145*a**2/4 - 20257*a/4 + 527951/4 = 0.
-239, 47
Suppose -v**4/7 + 15*v**3/7 + 640*v**2/7 + 4080*v/7 + 3456/7 = 0. What is v?
-12, -8, -1, 36
Suppose -2*n**5 + 361*n**4/2 - 2271*n**3/4 + 763*n**2/4 + 434*n + 87 = 0. Calculate n.
-1/2, -1/4, 2, 87
Factor 2*m**2/9 + 2146*m/9 + 476.
2*(m + 2)*(m + 1071)/9
Solve -4*u**3 - 200*u**2 - 2272*u + 5376 = 0.
-28, -24, 2
Let -2*k**4/9 + 1406*k**3/9 - 84446*k**2/3 + 2186794*k/9 - 3371452/9 = 0. What is k?
2, 7, 347
What is x in 2*x**4/7 - 62*x**3/7 + 316*x**2/7 - 400*x/7 = 0?
0, 2, 4, 25
What is h in 2*h**5/11 - 19738*h**4/11 + 48649212*h**3/11 + 243601460*h**2/11 + 341176322*h/11 + 146243814/11 = 0?
-3, -1, 4937
Factor -o**3/5 + 9*o**2 + 1033*o/5 - 3477/5.
-(o - 61)*(o - 3)*(o + 19)/5
Solve 5*a**4 - 5*a**3 - 10*a**2 = 0 for a.
-1, 0, 2
Factor 3*k**3 - 141*k**2 - 1299*k - 1155.
3*(k - 55)*(k + 1)*(k + 7)
Suppose -y**2 - 204280*y - 10432579600 = 0. What is y?
-102140
Find n, given that -10*n**3/3 - 2324*n**2/3 - 16678*n/3 - 2100 = 0.
-225, -7, -2/5
Factor 2*k**2 + 11130*k + 44488.
2*(k + 4)*(k + 5561)
Let -2*w**2 - 61926*w = 0. Calculate w.
-30963, 0
Let 3*l**2/2 + 1025367*l/2 - 512685 = 0. Calculate l.
-341790, 1
Suppose z**5 - 73*z**4 + 468*z**3 - 396*z**2 = 0. Calculate z.
0, 1, 6, 66
Suppose 2*f**4/5 + 376*f**3/5 - 766*f**2/5 - 228*f = 0. Calculate f.
-190, -1, 0, 3
What is f in -4*f**5/3 + 122404*f**4/3 - 81596*f**3 - 122404*f**2/3 + 244792*f/3 = 0?
-1, 0, 1, 2, 30599
Factor 36*p**3 + 506*p**2 - 512*p - 30.
2*(p - 1)*(p + 15)*(18*p + 1)
Suppose 2*f**4/9 - 2912*f**3/9 + 14518*f**2/9 - 11608*f/9 = 0. What is f?
0, 1, 4, 1451
What is h in -4*h**3 + 1951*h**2 + 4408*h + 980 = 0?
-2, -1/4, 490
Factor -3*w**4 + 1323*w**3 + 1326*w**2.
-3*w**2*(w - 442)*(w + 1)
Solve b**3/4 - 571*b**2/4 - 289*b/2 + 858 = 0 for b.
-3, 2, 572
Factor -4*j**2 - 70052*j - 70048.
-4*(j + 1)*(j + 17512)
Factor -n**2 - 37*n + 2738.
-(n - 37)*(n + 74)
Solve n**3 + 3367*n**2 + 3318688*n + 777054444 = 0 for n.
-1514, -339
Factor -s**3/3 - 376*s**2/3 + 2703*s + 24948.
-(s - 27)*(s + 7)*(s + 396)/3
Let 4*a**4/5 + 167*a**3/5 + 1678*a**2/5 + 2937*a/5 - 13986/5 = 0. Calculate a.
-111/4, -9, -7, 2
Factor -18*u**3 - 982*u**2 + 10808*u - 4608.
-2*(u - 9)*(u + 64)*(9*u - 4)
Determine s, given that 3*s**4 - 3*s**3 - 39*s**2 + 75*s - 36 = 0.
-4, 1, 3
Determine g so that 9*g**4 - 3516*g**3 + 76284*g**2 - 446736*g + 264960 = 0.
2/3, 10, 12, 368
Determine x so that 5*x**4 - 58600*x**3 + 171756590*x**2 - 343337400*x + 171639405 = 0.
1, 5859
Solve 3*p**3/7 + 51*p**2/7 - 123*p/7 - 171/7 = 0 for p.
-19, -1, 3
Factor h**3/7 - 451*h**2/7 - 3660*h/7 - 5508/7.
(h - 459)*(h + 2)*(h + 6)/7
Factor 2*o**2/5 - 77296*o/5 + 746833952/5.
2*(o - 19324)**2/5
Suppose -3*c**5 + 81*c**4 + 1659*c**3 + 2691*c**2 - 4428*c = 0. Calculate c.
-12, -3, 0, 1, 41
Suppose -2*u**2 + 85216*u + 85218 = 0. What is u?
-1, 42609
Factor -y**3 - 1165*y**2 - 338723*y + 339889.
-(y - 1)*(y + 583)**2
Factor 4*z**3 + 21188*z**2 - 254752*z + 424720.
4*(z - 10)*(z - 2)*(z + 5309)
Solve 96*v**4 - 930*v**3 + 363*v**2 + 7644*v - 1440 = 0.
-5/2, 3/16, 4, 8
Let -3*i**5 + 648*i**4 - 36585*i**3 - 433188*i**2 + 57725136*i + 176033088 = 0. Calculate i.
-33, -3, 84
What is v in -9*v**4 - 1041*v**3 - 28863*v**2 + 71685*v - 41772 = 0?
-59, 1, 4/3
Factor z**2/4 - 2505*z/4 - 7533/2.
(z - 2511)*(z + 6)/4
Factor n**3 + 1073*n**2 - 7550*n + 10800.
(n - 5)*(n - 2)*(n + 1080)
Let 50*a**5/13 + 1230*a**4 + 12718*a**3/13 - 13438*a**2/13 - 12768*a/13 - 2552/13 = 0. Calculate a.
-319, -1, -2/5, 1
Determine t so that 5*t**3 + 120*t**2 + 675*t + 560 = 0.
-16, -7, -1
Find w such that -3*w**5 - 5994*w**4 - 3029787*w**3 - 35783940*w**2 - 142372368*w - 189321408 = 0.
-993, -4
Suppose -q**5/4 + 17505*q**4/4 - 19171242*q**3 + 172186884*q**2 = 0. What is q?
0, 9, 8748
What is k in -4*k**5 + 288*k**4 + 44*k**3 - 3240*k**2 + 5216*k - 2304 = 0?
-4, 1, 2, 72
Let 24*i**4 + 35349*i**3 - 75195*i**2 + 44247*i - 4425 = 0. What is i?
-1475, 1/8, 1
Solve -2*c**2/5 - 91794*c/5 - 367144/5 = 0 for c.
-45893, -4
Find o such that 2*o**5/21 - 25618*o**4/21 + 332816*o**3/21 - 219392*o**2/3 + 2866432*o/21 - 233984/3 = 0.
1, 4, 12796
Solve -4*b**2 + 11304*b + 227680 = 0 for b.
-20, 2846
Factor -3*s**2/7 + 373344*s/7 - 11615478528/7.
-3*(s - 62224)**2/7
Factor -27*d**2 - 1652*d - 3196.
-(d + 2)*(27*d + 1598)
Factor -f**4 + 33*f**2 + 100*f + 84.
-(f - 7)*(f + 2)**2*(f + 3)
Factor 7465744*p**3 - 2297490*p**2 + 176808*p - 8.
2*(13*p - 2)**2*(22088*p - 1)
Factor 3*f**3 + 23994*f**2 + 47976003*f.
3*f*(f + 3999)**2
Factor 143*v**3 - 5002*v**2 - 16407*v - 342.
(v - 38)*(v + 3)*(143*v + 3)
Factor -3*h**4 + 12443*h**3 - 12900280*h**2 - 4301476*h.
-h*(h - 2074)**2*(3*h + 1)
Let -2*l**3/7 - 78*l**2/7 + 14*l + 16302/7 = 0. What is l?
-33, -19, 13
Find h such that 60*h**5 - 18188*h**4 + 1406420*h**3 - 4235988*h**2 + 446400*h + 270000 = 0.
-1/5, 1/3, 3, 150
Suppose c**2/9 + 2350*c/9 + 16256 = 0. What is c?
-2286, -64
Suppose -10*z**5 + 18*z**4 + 646*z**3 + 286*z**2 - 5340*z + 4400 = 0. Calculate z.
-5, 1, 2, 44/5
Find r, given that r**2 + 50760*r + 644144400 = 0.
-25380
Determine c so that 3150*c**2 + 201597*c/4 - 12 = 0.
-16, 1/4200
Factor -3*p**2/8 + 201675*p/4 - 13557601875/8.
-3*(p - 67225)**2/8
Solve -16184*d**5/3 + 242896*d**4/3 - 810230*d**3/3 - 8450*d**2/3 + 52000*d/3 - 5000/3 = 0.
-2/7, 5/34, 5, 10
What is t in 5*t**3 + 1200*t**2 - 4860*t + 4880 = 0?
-244, 2
Suppose 4*i**3 - 5872*i**2 - 16*i + 23488 = 0. Calculate i.
-2, 2, 1468
Factor -3*i**3/2 + 21789*i**2/2 - 39574269*i/2 + 39552483/2.
-3*(i - 3631)**2*(i - 1)/2
Factor -5*u**4 + 60*u**3 + 210*u**2 + 220*u + 75.
-5*(u - 15)*(u + 1)**3
Find a such that -a**4 + 835*a**3 - 829*a**2 - 4167*a - 2502 = 0.
-1, 3, 834
Find d such that -d**4 - 85*d**3 + 87*d**2 + 85*d - 86 = 0.
-86, -1, 1
Solve 3*w**4 - 42*w**3 + 141*w**2 - 30*w - 216 = 0 for w.
-1, 2, 4, 9
Determine b so that b**3 + 44*b**2 + 499*b + 456 = 0.
-24, -19, -1
What is g in 2*g**2 + 14946*g - 29900 = 0?
-7475, 2
Solve 322752*q**3 + 61008*q**2 - 4620*q + 75 = 0.
-1/4, 5/164
Factor 3908*t**2/5 - 46116*t + 472/5.
4*(t - 59)