*(977*t - 2)/5
Factor 4*b**2 - 1830840*b + 209498444100.
4*(b - 228855)**2
Determine b so that -4*b**2 - 1112*b + 334880 = 0.
-460, 182
Find x such that -6*x**5/5 - 626*x**4/5 + 1722*x**3/5 + 1058*x**2/5 - 1284*x/5 = 0.
-107, -1, 0, 2/3, 3
Factor -343*l**4/3 - 392*l**3 - 154*l**2 - 64*l/3 - 1.
-(l + 3)*(7*l + 1)**3/3
Find c such that 2*c**2/7 + 33652*c/7 + 100938/7 = 0.
-16823, -3
Factor 21*p**2/8 + 103785*p/4 + 7413.
3*(p + 9884)*(7*p + 2)/8
Factor v**4/4 - 1107*v**3 + 1644852*v**2 - 836021684*v + 23629970220.
(v - 1466)**3*(v - 30)/4
What is j in -j**3/4 + 41*j**2/2 + 295*j/4 - 850 = 0?
-8, 5, 85
Solve -3*d**2 + 7401*d + 7404 = 0.
-1, 2468
Factor 31*k**3/4 + 4985*k**2/4 + 2223*k - 477.
(k + 2)*(k + 159)*(31*k - 6)/4
Suppose 2*l**5 + 72*l**4 - 230*l**3 + 156*l**2 = 0. What is l?
-39, 0, 1, 2
Suppose f**2/7 + 374936*f + 246009757168 = 0. What is f?
-1312276
Factor 2*a**3 - 6948*a**2 + 6034338*a.
2*a*(a - 1737)**2
Factor 40*y**3 - 2996*y**2 - 300*y.
4*y*(y - 75)*(10*y + 1)
Determine g, given that -3*g**2 + 135492*g - 1529840172 = 0.
22582
Find n such that 2*n**4 + 94*n**3 - 164*n**2 - 37120*n - 36864 = 0.
-32, -1, 18
Suppose -4*u**2/7 + 47512*u/7 - 141086884/7 = 0. Calculate u.
5939
Suppose 5*w**5 - 13845*w**4 + 206680*w**3 - 358020*w**2 = 0. What is w?
0, 2, 13, 2754
Solve 18*w**5/7 - 1392*w**4/7 - 1384*w**3/7 + 34644*w**2/7 + 23350*w/7 + 3900/7 = 0.
-5, -1/3, 5, 78
Determine w, given that -7*w**3/5 - 13414*w**2/5 - 1285636*w - 1835528/5 = 0.
-958, -2/7
Determine h so that 5*h**4 - 40*h**3 - 95*h**2 + 910*h - 1200 = 0.
-5, 2, 3, 8
Factor 20*h**3 + 5315*h**2 + 49870*h - 12800.
5*(h + 10)*(h + 256)*(4*h - 1)
Factor -22925*t**2 - 22845*t + 80.
-5*(t + 1)*(4585*t - 16)
Solve -2*j**5/9 + 410*j**4 - 29438*j**3/9 + 28186*j**2/3 - 102896*j/9 + 14696/3 = 0.
1, 2, 3, 1837
Suppose 4*k**2/3 + 8900*k/3 = 0. What is k?
-2225, 0
Determine i so that -2*i**3/13 + 82*i**2/13 + 178*i/13 - 258/13 = 0.
-3, 1, 43
Find j, given that 3*j**4 + 2868*j**3 - 8811*j**2 - 172920*j - 287700 = 0.
-959, -5, -2, 10
Find a such that 22*a**2/7 - 340*a + 2358/7 = 0.
1, 1179/11
Factor -3*k**3 + 55*k**2 - 318*k + 560.
-(k - 8)*(k - 7)*(3*k - 10)
Factor m**2 + 338*m - 11439.
(m - 31)*(m + 369)
Factor -3*v**3 + 2316*v**2 + 101241*v + 1076922.
-3*(v - 814)*(v + 21)**2
Factor -5*j**2 + 14985*j + 2195900.
-5*(j - 3137)*(j + 140)
Suppose 3*p**3/7 - 8940*p**2/7 - 3*p/7 + 8940/7 = 0. What is p?
-1, 1, 2980
Solve -z**4/4 - 923*z**3/4 - 72153*z**2/4 - 1403305*z/4 + 1551311/2 = 0.
-839, -43, 2
Suppose -s**2/2 + 5233*s/2 + 7854 = 0. What is s?
-3, 5236
Factor -2*t**3 - 37164*t**2 - 172682520*t - 345216400.
-2*(t + 2)*(t + 9290)**2
Find d such that -3*d**4 + 924*d**3 - 80223*d**2 + 1349634*d = 0.
0, 22, 143
Factor 5*i**3 - 2925*i**2 + 20260*i - 17340.
5*(i - 578)*(i - 6)*(i - 1)
Factor -2*m**2/7 + 1532*m/7 - 293378/7.
-2*(m - 383)**2/7
What is r in 2*r**5 + 1074*r**4 - 16392*r**3 + 92320*r**2 - 229248*r + 211968 = 0?
-552, 3, 4
Solve 4*u**5 - 3828*u**4/5 + 174152*u**3/5 + 863184*u**2/5 + 998816*u/5 = 0 for u.
-13/5, -2, 0, 98
What is s in 3*s**3/5 - 1641*s**2/5 - 28716*s/5 - 27072/5 = 0?
-16, -1, 564
Solve w**3/2 + 445*w**2 - 1783*w/2 + 446 = 0.
-892, 1
Solve -2039998005*r**2/4 + 2019900*r - 2000 = 0 for r.
40/20199
Suppose -2*y**4/3 - 326*y**3/3 - 16246*y**2/3 - 192826*y/3 + 754152 = 0. Calculate y.
-67, -36, 7
Factor 2*f**2/5 + 19948*f/5 - 3990.
2*(f - 1)*(f + 9975)/5
Factor j**2/4 - 384788*j + 148061804944.
(j - 769576)**2/4
What is v in -5*v**3 - 53200*v**2 + 852160*v - 3409920 = 0?
-10656, 8
Solve -2*l**4/3 - 45731*l**3/2 - 588056335*l**2/3 + 1470829741*l/2 + 196104534 = 0.
-17151, -1/4, 4
Solve 1951*j**2/4 - j = 0 for j.
0, 4/1951
Factor 2*c**2 + 2094*c + 62992.
2*(c + 31)*(c + 1016)
Let -2*p**3/13 - 4780*p**2/13 + 9566*p/13 - 368 = 0. What is p?
-2392, 1
Let -27*f**3/2 - 1351*f**2/4 - 1321*f/4 - 6 = 0. Calculate f.
-24, -1, -1/54
Factor -3*c**3/8 + 33*c**2/8 + 714*c - 10143/2.
-3*(c - 46)*(c - 7)*(c + 42)/8
Suppose -3*f**5 - 135*f**4 - 1584*f**3 - 7500*f**2 - 14688*f - 8640 = 0. What is f?
-30, -6, -4, -1
Let -n**2/2 + 52907*n/3 + 35272/3 = 0. What is n?
-2/3, 35272
Find w such that 7*w**3/8 - 18*w**2 - 67*w/8 + 21/2 = 0.
-1, 4/7, 21
Let 10*x**5/3 + 9304*x**4/3 + 721990*x**3 + 288300*x**2 = 0. What is x?
-465, -2/5, 0
Factor 1715*o**4 - 12924485*o**3 - 11078970*o**2 - 3165500*o - 301480.
5*(o - 7537)*(7*o + 2)**3
Factor -2*c**3/3 - 140*c**2/3 + 4114*c.
-2*c*(c - 51)*(c + 121)/3
Let 3*g**2/4 + 89523*g/2 - 179049/4 = 0. What is g?
-59683, 1
Solve -3*w**2/8 + 22023*w/2 - 161670843/2 = 0.
14682
Suppose -2595*x**2 + 13983*x + 162 = 0. Calculate x.
-2/173, 27/5
What is g in -3*g**4 + 432*g**3 - 2775*g**2 - 14094*g + 16440 = 0?
-4, 1, 10, 137
Factor 488*s**3 - 2431*s**2 - 45*s.
s*(s - 5)*(488*s + 9)
Factor q**2 - 3922*q - 3923.
(q - 3923)*(q + 1)
Determine z so that 2*z**2/9 - 103622*z/9 - 23028 = 0.
-2, 51813
Find w, given that -2*w**3 + 616*w**2 - 62826*w + 2119212 = 0.
86, 111
Factor 3*d**4 - 522*d**3 + 3531*d**2 - 3960*d - 8016.
3*(d - 167)*(d - 4)**2*(d + 1)
Factor v**4/4 + v**3/2 - 903*v**2/4 - 901*v - 899.
(v - 31)*(v + 2)**2*(v + 29)/4
What is m in -952*m**2/5 + 5006*m - 6198/5 = 0?
1/4, 3099/119
Factor 4*k**5 - 452*k**4 - 1872*k**3.
4*k**3*(k - 117)*(k + 4)
Find u, given that -5*u**4 + 40*u**3 + 1025*u**2 + 680*u - 5700 = 0.
-10, -3, 2, 19
Factor -4*i**3 - 4136*i**2 + 83920*i - 421600.
-4*(i - 10)**2*(i + 1054)
Factor -c**4/3 + 12160*c**3 - 36478*c**2 + 109432*c/3 - 12159.
-(c - 36477)*(c - 1)**3/3
Solve 4*j**3 + 46560*j**2 + 930000*j + 4648000 = 0 for j.
-11620, -10
Factor 28*j**2 + 3560*j - 3072.
4*(j + 128)*(7*j - 6)
Determine j, given that -j**3/2 + 27*j**2/2 + 9409*j/2 - 9435/2 = 0.
-85, 1, 111
What is k in k**3/10 - 51*k**2/5 - 90*k + 220 = 0?
-10, 2, 110
What is g in 5*g**2 - 2435*g - 122590 = 0?
-46, 533
Solve 2*o**4 + 324*o**3 + 13754*o**2 + 51192*o + 49928 = 0.
-79, -2
Factor 215*m**3 - 22770*m**2 + 601815*m + 56180.
5*(m - 53)**2*(43*m + 4)
Factor 2*q**2/7 + 891836*q/7 + 99421431362/7.
2*(q + 222959)**2/7
Find x, given that -2*x**3/13 - 57676*x**2/13 - 62090*x - 2824752/13 = 0.
-28824, -7
Determine x so that -7*x**5 - 14747*x**4/4 - 24681*x**3/4 - 3133*x**2/4 + 8929*x/4 + 525 = 0.
-525, -1, -1/4, 4/7
Factor -3*y**3 - 1125657*y**2 - 105591410640*y + 105592536300.
-3*(y - 1)*(y + 187610)**2
Factor -4*l**2 + 1345040*l - 113070787600.
-4*(l - 168130)**2
Solve 5*u**3 - 3435*u**2 + 262660*u + 539100 = 0 for u.
-2, 90, 599
Factor -l**3/4 - 18881*l**2/4 + 4722*l + 28323.
-(l - 3)*(l + 2)*(l + 18882)/4
Let 9*n**4/4 - 4003*n**3/4 - 971*n**2/4 + 36027*n/4 + 4005/2 = 0. Calculate n.
-3, -2/9, 3, 445
Let -3*h**5 + 2823*h**4 - 2820*h**3 = 0. What is h?
0, 1, 940
Factor o**3/4 - 116085*o**2/4 - 232173*o/4 - 116087/4.
(o - 116087)*(o + 1)**2/4
Suppose 5*x**4/2 - 49*x**3/2 - 11849*x**2/2 + 21433*x/2 - 4770 = 0. Calculate x.
-45, 4/5, 1, 53
Factor -3*w**3/4 - 53031*w**2/2 - 937428987*w/4.
-3*w*(w + 17677)**2/4
Find p, given that 2*p**5/3 - 10*p**4 - 2396*p**3/3 - 120*p**2 + 188784*p + 1088640 = 0.
-18, -7, 18, 40
Factor 9*m**3/7 - 133*m**2 + 19682*m/7 - 2680.
(m - 28)*(m - 1)*(9*m - 670)/7
Determine h, given that -108*h**5/7 - 624*h**4/7 + 2656*h**3 + 143104*h**2/7 + 207936*h/7 + 11520 = 0.
-12, -6, -10/9, -2/3, 14
Factor -n**2 - 1025990*n - 263163870025.
-(n + 512995)**2
Suppose 3*q**4 - 30*q**3 - 1251*q**2 - 6978*q - 9240 = 0. Calculate q.
-11, -5, -2, 28
Factor 5*m**3 - 530*m**2 - 1075*m - 540.
5*(m - 108)*(m + 1)**2
Suppose v**4/9 - 122*v**3/3 + 35269*v**2/9 - 108580*v/3 + 792100/9 = 0. What is v?
5, 178
Solve -4*k**2 + 13480*k - 107584 = 0 for k.
8, 3362
Determine p, given that 2*p**3 - 6943*p**2/2 + 6068*p + 1734 = 0.
-1/4, 2, 1734
Factor -16*v**4 - 16700*v**3 + 16703*v**2/4 - 261*v.
-v*(v + 1044)*(8*v - 1)**2/4
Factor 3*b**2 + 1161*b + 20976.
3*(b + 19)*(b + 368)
Solve -133719*t**4/2 - 110229*t**3/2 + 11079*t**2 - 654*t + 12 = 0 for t.
-1, 2/53, 2/29
Determine l so that 4*l**4/7 + 104*l**3/7 - 720*l**2/7 + 1504*l/7 - 1024/7 = 0.
-32, 2
Factor q**4 + 13*q**3 - 2065*q**2 + 35387*q - 171336.
(q - 24)*(q - 11)**2*(q + 59)
Solve 4*g**4 - 8340*g**3 - 25096*g**2 + 83520*g = 0 for g.
-5, 0, 2, 2088
Solve -10*r**5 + 282*r**4 - 6848*r**3/5 + 432*r**2/5 + 800*r + 1056/5 = 0 for r.
-2/5, 1, 6