0, 2/9, 2/3, 1
Let -2*x**3/7 - 810*x**2/7 - 4000*x/7 = 0. Calculate x.
-400, -5, 0
Factor -4*b**3 + 3528*b**2 - 812004*b + 14860880.
-4*(b - 431)**2*(b - 20)
Suppose -3*k**4/2 - 1104*k**3 - 8775*k**2/2 + 3321*k + 19764 = 0. What is k?
-732, -3, 2
What is z in 114*z**2 + 266757*z - 7020 = 0?
-2340, 1/38
Factor -4*o**2 - 11568*o - 57740.
-4*(o + 5)*(o + 2887)
Factor 3*z**2/2 - 59229*z/2 - 29616.
3*(z - 19744)*(z + 1)/2
Suppose 4*h**4/3 - 1342*h**3/3 + 37840*h**2 - 153974*h/3 - 1115560/3 = 0. What is h?
-5/2, 4, 167
Solve h**4/2 - 35*h**3/2 - 1047*h**2/2 - 2881*h/2 - 935 = 0.
-17, -2, -1, 55
Determine k so that 2*k**3/5 + 5218*k**2/5 + 93438*k/5 + 419742/5 = 0.
-2591, -9
Suppose -2*d**3/13 + 12*d**2/13 + 192*d/13 - 1280/13 = 0. Calculate d.
-10, 8
Factor -2*i**3/3 + 96*i**2 - 4096*i/3.
-2*i*(i - 128)*(i - 16)/3
Find b, given that b**2/6 + 90829*b = 0.
-544974, 0
Factor -c**3/2 + 1962*c**2 + c/2 - 1962.
-(c - 3924)*(c - 1)*(c + 1)/2
Determine b so that 2*b**3/15 + 52*b**2/5 + 442*b/15 - 40 = 0.
-75, -4, 1
Factor -5*n**3 + 46365*n**2 + 92765*n - 139125.
-5*(n - 9275)*(n - 1)*(n + 3)
What is v in -2*v**3/3 + 420*v**2 - 63112*v - 2903152/3 = 0?
-14, 322
Determine w, given that -w**2/3 + 8670*w - 415904/3 = 0.
16, 25994
Factor g**4/6 - 17*g**3/6 + 2*g**2/3 + 32*g.
g*(g - 16)*(g - 4)*(g + 3)/6
Factor -f**3/3 - 527*f**2/3.
-f**2*(f + 527)/3
Find r, given that 25*r**2/6 - 220*r + 2440/3 = 0.
4, 244/5
Solve -85683*r**2/5 + 12123384*r/5 - 428837808/5 = 0 for r.
11956/169
Find h, given that -3*h**3 - 324*h**2 - 8241*h + 27720 = 0.
-56, -55, 3
Factor -j**2/6 - 270082*j/3 - 36472143362/3.
-(j + 270082)**2/6
Determine c so that -6*c**5/11 - 1884*c**4/11 - 3690*c**3/11 + 16860*c**2/11 + 336*c - 14976/11 = 0.
-312, -4, -1, 1, 2
Let 3*y**2/8 - 9*y/4 - 15 = 0. What is y?
-4, 10
Factor w**4/3 - 188*w**3 - 2272*w**2/3.
w**2*(w - 568)*(w + 4)/3
Find k, given that 2*k**4/9 - 12646*k**3 - 227644*k**2/3 - 1365896*k/9 - 303536/3 = 0.
-2, 56913
Solve 4*d**5/3 + 185*d**4 - 3619*d**3/3 + 290*d**2 = 0 for d.
-145, 0, 1/4, 6
Solve 4*m**4 - 664*m**3 + 28016*m**2 - 22304*m - 1291008 = 0 for m.
-6, 8, 82
Let -4*c**2 - 1167000*c - 85118062500 = 0. What is c?
-145875
Factor n**2 + 21226*n + 112635769.
(n + 10613)**2
Factor -l**2/2 + 108238*l - 649419/2.
-(l - 216473)*(l - 3)/2
Factor -3*d**2 + 206244*d - 3544715628.
-3*(d - 34374)**2
Suppose 5*f**5 + 470*f**4 - 13935*f**3 + 26440*f**2 - 12980*f = 0. What is f?
-118, 0, 1, 22
Determine k, given that 2*k**2 - 703080*k + 703078 = 0.
1, 351539
Factor 2*n**5 - 72*n**4 + 480*n**3 + 3200*n**2.
2*n**2*(n - 20)**2*(n + 4)
Suppose -6*g**5 + 100*g**4 + 866*g**3 + 208*g**2 - 552*g = 0. Calculate g.
-6, -1, 0, 2/3, 23
Solve 2140*x**4/7 + 2906*x**3/7 - 3550*x**2/7 - 224*x + 72/7 = 0.
-2, -2/5, 9/214, 1
Determine l so that -l**3/7 + 44*l**2/7 - 415*l/7 + 372/7 = 0.
1, 12, 31
Find b, given that -675*b**5 - 88380*b**4 - 425307*b**3 - 725598*b**2 - 504468*b - 122472 = 0.
-126, -9/5, -2/3
Let 2*p**3/3 + 500*p**2/3 + 494*p/3 - 332 = 0. Calculate p.
-249, -2, 1
Factor -2*x**4/9 - 400*x**3/3 - 17900*x**2 + 630000*x - 4961250.
-2*(x - 15)**2*(x + 315)**2/9
Factor -3*n**2 - 114150*n - 1085851875.
-3*(n + 19025)**2
Solve 4*b**5/5 - 912*b**4/5 + 66772*b**3/5 - 1718424*b**2/5 + 3468032*b - 11089920 = 0 for b.
6, 16, 95
Factor 2*b**4 - 1980*b**3 - 2*b**2 + 1980*b.
2*b*(b - 990)*(b - 1)*(b + 1)
What is o in -60*o**5 + 187796*o**4 + 601159*o**3/3 - 7300*o**2 - 17743*o + 6262/3 = 0?
-1, -2/5, 1/6, 3131
Factor -2*v**2 + 4342*v + 167884.
-2*(v - 2209)*(v + 38)
Find s such that 5*s**4/2 + 7895*s**3/4 - 19815*s**2/4 - 2970*s = 0.
-792, -1/2, 0, 3
Factor 2*w**3/9 - 172802*w**2/9 - 345610*w/9 - 57602/3.
2*(w - 86403)*(w + 1)**2/9
Factor -m**3 + 2649*m**2 - 1315899*m - 613345365.
-(m - 1467)**2*(m + 285)
Suppose u**2/5 + 1587*u/5 + 634 = 0. Calculate u.
-1585, -2
Find x such that 3*x**3/8 - 423*x**2/2 + 19347*x/2 - 18504 = 0.
2, 48, 514
Determine m, given that -3*m**3/2 + 135*m**2/2 + 141*m = 0.
-2, 0, 47
Determine g, given that 52*g**4 - 17676*g**3 + 1483452*g**2 + 3207276*g - 4210704 = 0.
-3, 12/13, 171
What is x in 10485*x**2 - 21005*x + 70 = 0?
7/2097, 2
Factor 4*t**3 + 16000*t**2 + 15967952*t - 64128064.
4*(t - 4)*(t + 2002)**2
Let 35*w**4 - 165*w**3 + 55*w**2 + 345*w + 90 = 0. Calculate w.
-1, -2/7, 3
Factor -d**3/6 - 68*d**2/3 - 45*d/2.
-d*(d + 1)*(d + 135)/6
Factor 15*h**3 + 4895*h**2 - 8210*h - 3280.
5*(h - 2)*(h + 328)*(3*h + 1)
Factor h**3/2 - 989*h**2/2 - 2497*h + 11928.
(h - 994)*(h - 3)*(h + 8)/2
Solve -3*l**2/2 + 26985*l/2 + 81009 = 0.
-6, 9001
Find l, given that -3*l**2 - 438*l - 4080 = 0.
-136, -10
Factor -3*w**4 + 2409*w**3 - 2400*w**2 - 4812*w.
-3*w*(w - 802)*(w - 2)*(w + 1)
Solve 3*f**3 - 1338*f**2 + 147840*f + 301056 = 0 for f.
-2, 224
Let 2*m**5 - 188*m**4 + 2466*m**3 - 7456*m**2 - 10112*m = 0. What is m?
-1, 0, 8, 79
Find l such that 3*l**3 + 45*l**2 - 1071*l - 16473 = 0.
-17, 19
Determine h, given that 5*h**2 - 1325*h - 10920 = 0.
-8, 273
Factor -2*t**3/9 - 238*t**2/9 - 1790*t/9 - 518/3.
-2*(t + 1)*(t + 7)*(t + 111)/9
Let -2*n**2/13 - 28796*n/13 + 201670/13 = 0. What is n?
-14405, 7
Suppose 2*j**4/13 + 6590*j**3/13 - 33002*j**2/13 - 6590*j/13 + 33000/13 = 0. Calculate j.
-3300, -1, 1, 5
Solve 2*z**4 + 976*z**3 + 19650*z**2 + 16732*z - 37360 = 0.
-467, -20, -2, 1
What is x in 5*x**3 + 345*x**2 + 5055*x - 5405 = 0?
-47, -23, 1
Suppose 147*b**5/2 + 39942*b**4 + 113811*b**3/2 - 2469*b**2 - 16254*b + 3252 = 0. Calculate b.
-542, -1, 2/7
Factor 3*z**2/8 + 477*z/4 + 9315.
3*(z + 138)*(z + 180)/8
Factor 5*s**3 + 45175*s**2 + 102061615*s + 102016445.
5*(s + 1)*(s + 4517)**2
Factor 10*j**2/3 - 6547*j/9 + 2614/9.
(5*j - 2)*(6*j - 1307)/9
Factor -2*v**3 - 952*v**2 + 4798*v - 5772.
-2*(v - 3)*(v - 2)*(v + 481)
Factor 25*w**3 - 219455*w**2 + 481626915*w - 96316605.
5*(w - 4389)**2*(5*w - 1)
Suppose -o**5/3 + 16*o**4/3 + 386*o**3/3 + 2284*o**2/3 + 5015*o/3 + 3100/3 = 0. What is o?
-5, -4, -1, 31
Suppose -5*a**2 + 6335*a + 44590 = 0. Calculate a.
-7, 1274
Determine t, given that -5*t**4 - 100*t**3 - 295*t**2 + 1660*t - 1260 = 0.
-14, -9, 1, 2
Solve 3*f**4 - 3444*f**3 + 995292*f**2 - 3939936*f + 3926208 = 0.
2, 572
Factor -2*y**4/7 + 1304*y**3 - 299772*y**2/7 + 3292168*y/7 - 12061522/7.
-2*(y - 4531)*(y - 11)**3/7
Factor n**4/3 - 60*n**3 + 5039*n**2/3 + 1740*n.
n*(n - 145)*(n - 36)*(n + 1)/3
Let -50*p**4/7 + 44490*p**3/7 - 124268*p**2/7 + 78072*p/7 - 14192/7 = 0. Calculate p.
2/5, 2, 887
Factor -5*a**2 - 125550*a + 125555.
-5*(a - 1)*(a + 25111)
Factor 8*a**3/3 - 302*a**2/3 + 880*a.
2*a*(a - 24)*(4*a - 55)/3
Factor 5*k**4 - 49790*k**3 + 123952205*k**2.
5*k**2*(k - 4979)**2
Determine x so that -x**2/2 - 209*x - 1245/2 = 0.
-415, -3
Factor -4*o**2/3 + 109*o + 331/3.
-(o + 1)*(4*o - 331)/3
Factor 4*a**2/13 - 7978*a/13 + 3988/13.
2*(a - 1994)*(2*a - 1)/13
Determine o, given that -4*o**3 + 2912*o**2 - 234048*o = 0.
0, 92, 636
Find u such that 4*u**4/3 - 5080*u**3 + 242932*u**2/3 - 146720*u + 212464/3 = 0.
1, 14, 3794
What is s in 32*s**2/3 - 172*s/3 + 20 = 0?
3/8, 5
Let 3*x**3 + 6495*x**2 + 6492*x = 0. What is x?
-2164, -1, 0
Factor -v**2 + 2212*v - 13236.
-(v - 2206)*(v - 6)
Determine c so that 2687*c**4/2 + 13433*c**3/2 + 18799*c**2/2 + 8047*c/2 - 3 = 0.
-3, -1, 2/2687
Let 2*y**2/7 - 3000*y/7 - 30200/7 = 0. What is y?
-10, 1510
Determine o so that -12993*o**3 - 194901*o**2 - 467838*o - 216 = 0.
-12, -3, -2/4331
Factor 3*d**2 - 31383*d + 250872.
3*(d - 10453)*(d - 8)
Find d, given that -107648*d**3/13 + 1782688*d**2/13 - 74890*d + 10400 = 0.
65/232, 16
Find q, given that -26*q**5 + 230*q**4 - 94*q**3 - 2438*q**2 + 1968*q + 360 = 0.
-3, -2/13, 1, 5, 6
Let 14*j**5 + 230*j**4 - 22504*j**3/7 - 36544*j**2/7 + 26240*j/7 - 4000/7 = 0. Calculate j.
-25, -2, 2/7, 10
Solve -b**5/2 + 11446*b**4 + b**3 - 22892*b**2 - b/2 + 11446 = 0.
-1, 1, 22892
What is r in r**5/5 - 1774*r**4/5 - 1778*r**3/5 + 5324*r**2/5 + 1777*r/5 - 710 = 0?
-2, -1, 1, 1775
Solve -2*h**4/13 + 202*h**3/13 + 2188*h**2/13 + 3552*h/13 = 0 for h.
-8, -2, 0, 111
Suppose -334*o**4 + 3328*o**3 - 8230*o**2 - 300*o = 0. Calculate o.
-6/167, 0, 5
Let -2*a**5 - 41892*a**4 - 219367456*a**3 + 41892*a**2 + 219367458*a = 0. What is a?
-10473, -1, 0, 1
Solve -4*m**4 + 1342*m**3 - 12324*m**2 - 20842*m - 7172 = 0 for m.