 3*a**2 - 9*a - 543144 = 0?
-424, 427
Determine d, given that -3*d**4 + 1299*d**3 + 8010*d**2 - 47532*d + 52680 = 0.
-10, 2, 439
Factor x**2 + 7409*x - 22236.
(x - 3)*(x + 7412)
Factor -12599698111418*s**4/7 - 5398993494708*s**3 + 18418616568*s**2/7 - 2991924*s/7 + 162/7.
-2*(s + 3)*(18469*s - 3)**3/7
Factor 35*z**3 - 1320*z**2 - 25860*z - 7280.
5*(z - 52)*(z + 14)*(7*z + 2)
Factor -2*j**2/21 + 1310*j/21 + 2200/7.
-2*(j - 660)*(j + 5)/21
Determine m so that 6*m**3/5 - 98972*m**2/5 - 191462*m + 66020 = 0.
-10, 1/3, 16505
Determine n so that 2*n**5/9 + 176*n**4/9 - 50*n**3/3 - 12700*n**2/9 + 44000*n/9 = 0.
-88, -10, 0, 5
Determine q so that -4*q**3 - 1288344*q**2 = 0.
-322086, 0
Solve 3*i**5 - 36*i**4 - 54*i**3 + 984*i**2 + 243*i - 5940 = 0.
-4, -3, 3, 5, 11
Factor b**4/3 + 31*b**3 - 94*b**2/3.
b**2*(b - 1)*(b + 94)/3
Factor -i**2/2 - 557878*i - 155613931442.
-(i + 557878)**2/2
Factor y**3 - 592051*y**2 + 87630208567*y + 262895954187.
(y - 296027)**2*(y + 3)
Solve -3*p**5/2 - 40*p**4 + 1107*p**3 - 5832*p**2 + 3645*p/2 = 0 for p.
-45, 0, 1/3, 9
Find x, given that 1630*x**3/3 + 19556*x**2/3 - 138598*x/3 + 340/3 = 0.
-17, 2/815, 5
Determine m so that 2*m**5/5 - 556*m**4/5 - 582*m**3/5 + 6704*m**2/5 - 440*m - 8928/5 = 0.
-4, -1, 2, 279
Factor -3*f**2 + 5280*f - 10548.
-3*(f - 1758)*(f - 2)
Determine j, given that -j**4/7 - 1288*j**3 - 2885064*j**2 + 81540704*j - 572557552 = 0.
-4522, 14
Determine z so that 26*z**4/5 + 782*z**3/5 - 154*z**2 - 782*z/5 + 744/5 = 0.
-31, -1, 12/13, 1
Let -9*c**5/4 + 11*c**4/4 + 53*c**3/2 - 69*c**2 + 50*c - 8 = 0. What is c?
-4, 2/9, 1, 2
Factor -p**3 - 180*p**2 + 2091*p - 1910.
-(p - 10)*(p - 1)*(p + 191)
Solve 110*r**2 - 20244*r + 736 = 0 for r.
2/55, 184
Factor 3*t**2/5 + 192894*t - 964473/5.
3*(t - 1)*(t + 321491)/5
Suppose 7*a**3 + 4206*a**2/5 + 2601*a + 2106/5 = 0. What is a?
-117, -3, -6/35
Determine u so that -3*u**5/2 + 91*u**4/2 + 265*u**3 - 13770*u**2 + 40084*u + 32912 = 0.
-17, -2/3, 4, 22
Find i, given that -4*i**4/5 + 6992*i**3 - 76387596*i**2/5 - 6992*i + 15277520 = 0.
-1, 1, 4370
Factor 2*y**2 + 318*y - 320.
2*(y - 1)*(y + 160)
Suppose 4*i**2 + 563904*i = 0. Calculate i.
-140976, 0
Factor -2*q**2/13 - 2898080*q/13 - 1049858460800/13.
-2*(q + 724520)**2/13
Factor t**3/4 - 3673*t**2/4.
t**2*(t - 3673)/4
Let -z**3/10 + 27*z**2/10 + 121*z/10 + 93/10 = 0. What is z?
-3, -1, 31
Factor 4*y**3 - 46760*y**2 - 187088*y - 187104.
4*(y - 11694)*(y + 2)**2
Factor 36*j**3 + 63352*j**2 - 77476*j + 14088.
4*(j - 1)*(j + 1761)*(9*j - 2)
Find x, given that -5*x**2 + 70725*x + 70730 = 0.
-1, 14146
Determine z, given that -z**3 - 176*z**2 - 4263*z = 0.
-147, -29, 0
Find i such that 2*i**2/9 + 10*i/9 - 4/3 = 0.
-6, 1
Let 3*m**5/5 - 31674*m**4/5 + 83730123*m**3/5 - 133664280*m**2 + 267126000*m = 0. Calculate m.
0, 4, 5275
Suppose 7*t**4/6 - 1457*t**3/3 + 275*t**2/2 + 1457*t/3 - 416/3 = 0. What is t?
-1, 2/7, 1, 416
Factor 2*r**2/5 - 46668*r/5 - 140022/5.
2*(r - 23337)*(r + 3)/5
Factor 2*r**2/11 - 58456*r/11 + 427137992/11.
2*(r - 14614)**2/11
Factor -a**5 - 6*a**4 + 37*a**3 + 286*a**2 + 588*a + 392.
-(a - 7)*(a + 2)**3*(a + 7)
Suppose -u**3/2 + 23*u**2 - 265*u/2 - 156 = 0. Calculate u.
-1, 8, 39
Let -3*s**2 + 175116*s - 2555467788 = 0. Calculate s.
29186
Let i**3/5 - 4107*i**2/5 - 20556*i/5 - 16448/5 = 0. What is i?
-4, -1, 4112
Find s such that 4*s**2 + 57644*s - 1559304 = 0.
-14438, 27
Factor -s**2 - 69732*s - 1215637956.
-(s + 34866)**2
Find p such that 3*p**3 + 501*p**2 + 2448*p + 2916 = 0.
-162, -3, -2
Factor 378*i**2 + 873*i + 465.
3*(6*i + 5)*(21*i + 31)
Let 4*r**2 + 263016*r + 4323588516 = 0. Calculate r.
-32877
Suppose -2*z**2/15 + 26096*z/15 - 52184/15 = 0. Calculate z.
2, 13046
What is j in -4*j**4 - 316*j**3 + 1008*j**2 + 1936*j - 2624 = 0?
-82, -2, 1, 4
Factor -75*x**3/2 - 489*x**2/2 + 282*x.
-3*x*(x - 1)*(25*x + 188)/2
Solve -2*z**2/3 + 19300*z/3 - 96350 = 0.
15, 9635
Determine j, given that -12*j**5 + 253832*j**4 - 1342136688*j**3 - 1789882248*j**2 - 447491716*j = 0.
-1, -1/3, 0, 10577
Suppose 4*u**4 - 100*u**3 - 49272*u**2 + 2678400*u - 7589376 = 0. What is u?
-122, 3, 72
Let p**2/4 - 884*p - 7088 = 0. What is p?
-8, 3544
Factor -n**2/9 + 1234*n/9 + 5824/3.
-(n - 1248)*(n + 14)/9
Determine m so that 147*m**4 - 53928*m**3 + 46143*m**2 - 9882*m = 0.
0, 3/7, 366
Suppose -224790049*q**2/2 - 29986*q - 2 = 0. Calculate q.
-2/14993
Solve 2*m**3 + 42*m**2 - 1872*m + 12960 = 0 for m.
-45, 12
Suppose 5*f**3 + 8630*f**2 + 171100*f + 853000 = 0. Calculate f.
-1706, -10
Determine p so that -2*p**3 + 6380*p**2 - 5081664*p - 10188864 = 0.
-2, 1596
Factor 4*r**2 + 168*r + 608.
4*(r + 4)*(r + 38)
Determine a so that -2*a**4 + 891*a**3/2 + 9834*a**2 + 3745*a/2 - 12150 = 0.
-20, -5/4, 1, 243
Solve 3*r**4 - 81*r**3 + 753*r**2 - 2619*r + 1944 = 0 for r.
1, 8, 9
Find w, given that w**4/4 + 157*w**3/4 - 3817*w**2/4 + 21659*w/4 = 0.
-179, 0, 11
Factor -2*c**3/7 + 281850*c**2/7 - 9930632400*c/7 + 49646116000/7.
-2*(c - 70460)**2*(c - 5)/7
Factor 15*v**2/8 - 2989*v/8 + 18161/4.
(v - 13)*(15*v - 2794)/8
Factor d**2/4 + 139*d/2 - 104400.
(d - 522)*(d + 800)/4
Find h such that -4*h**4/11 - 327322*h**3/11 + 1145662*h**2/11 - 104152*h + 327336/11 = 0.
-81834, 1/2, 1, 2
What is l in 2*l**2/7 - 5568*l/7 - 266114/7 = 0?
-47, 2831
Factor -2*j**3 + 1692*j**2 - 8422*j + 10092.
-2*(j - 841)*(j - 3)*(j - 2)
Suppose -4*p**2/7 - 504460*p/7 = 0. What is p?
-126115, 0
What is f in -2*f**2/13 + 46482*f/13 = 0?
0, 23241
Factor c**2 + 10088*c - 10089.
(c - 1)*(c + 10089)
Suppose -255*x**3 - 9950*x**2 - 195*x = 0. What is x?
-39, -1/51, 0
Let g**3 - 24*g**2 + 59*g + 420 = 0. What is g?
-3, 7, 20
Factor -4*k**2/3 - 1140622*k/3 + 190104.
-2*(k + 285156)*(2*k - 1)/3
Solve 2*d**5/7 - 760*d**4/7 + 7456*d**3/7 - 20732*d**2/7 + 4350*d/7 + 33300/7 = 0.
-1, 3, 5, 370
Let -5*z**5 + 1620*z**4 - 21760*z**3 + 18530*z**2 + 21765*z - 20150 = 0. What is z?
-1, 1, 13, 310
Suppose -2*b**2/13 - 116*b/13 + 768/13 = 0. Calculate b.
-64, 6
Factor -2*p**3 - 16224*p**2 + 32454*p - 16228.
-2*(p - 1)**2*(p + 8114)
Factor -2*d**4/7 - 10160*d**3/7 - 12831884*d**2/7 + 25877520*d - 90820926.
-2*(d - 7)**2*(d + 2547)**2/7
Solve -m**2 + 7388*m - 13645636 = 0 for m.
3694
Factor -5*i**2 - 18895*i - 543750.
-5*(i + 29)*(i + 3750)
Find q such that -4542098*q**4 + 5550431700*q**3 - 1695645835034*q**2 - 4500748200*q - 2986568 = 0.
-2/1507, 611
Suppose -2*x**2 - 5796*x - 11584 = 0. What is x?
-2896, -2
Solve -s**5/4 + 71*s**4 - 8063*s**3/4 - 71*s**2 + 2016*s = 0 for s.
-1, 0, 1, 32, 252
Factor -5*v**2/4 - 94165*v/4 + 70635.
-5*(v - 3)*(v + 18836)/4
Suppose -3*r**4 + 93*r**3 - 531*r**2 - 3621*r + 8670 = 0. Calculate r.
-5, 2, 17
Suppose 2*m**2/19 + 4422068*m/19 + 2444335674578/19 = 0. Calculate m.
-1105517
Determine c so that -2*c**3 + 348*c**2 + 19458*c + 55188 = 0.
-42, -3, 219
Factor -d**2/2 - 9618*d - 46252962.
-(d + 9618)**2/2
Determine v, given that 4*v**3 + 6224*v**2 + 74256*v + 222336 = 0.
-1544, -6
Solve 84*w**5 - 514*w**4 + 648*w**3 + 434*w**2 - 732*w + 80 = 0 for w.
-1, 5/42, 1, 2, 4
Suppose -300*d**3 - 2735*d**2 + 2620*d - 300 = 0. What is d?
-10, 2/15, 3/4
Factor 2*m**3/9 + 26384*m**2/9.
2*m**2*(m + 13192)/9
Find o, given that -2*o**4 - 106*o**3 + 698*o**2 - 590*o = 0.
-59, 0, 1, 5
Solve -5*p**4 - 585*p**3 + 60*p**2 + 7100*p + 9360 = 0 for p.
-117, -2, 4
Factor 4*o**3 + 55232*o**2 + 191321920*o + 4559967744.
4*(o + 24)*(o + 6892)**2
Let -9*u**5 - 390*u**4 + 138*u**3 + 113880*u**2 + 37671*u - 75690 = 0. Calculate u.
-29, -1, 2/3, 15
Find i such that -i**5/2 - 3411*i**4/4 + 29117*i**3/4 - 35995*i**2/4 - 1707*i/4 + 5999/2 = 0.
-1714, -1/2, 1, 7
Factor -2*s**2/3 + 3003040*s/3 - 1127281155200/3.
-2*(s - 750760)**2/3
Solve 2*q**3/9 - 122006*q**2/3 - 488032*q/3 - 1464104/9 = 0 for q.
-2, 183013
Suppose 2*p**5 + 404*p**4 + 30032*p**3 + 963756*p**2 + 10858158*p - 11852352 = 0. What is p?
-57, -32, 1
Factor 2*x**2/17 - 393896*x/17 + 19394257352/17.
2*(x - 98474)**2/17
Factor 2*a**2/9 - 919654*a/9.
2*a*(a - 459827)/9
Find q, given that 15*q**4 + 130*q**3 + 105*q**2 - 1170*q - 2160 = 0.
-6, -3, -8/3, 3
Factor 2*z**3/3 + 16*z**2 - 6230*z/3 - 19500.
2*(z - 50)*(z + 9)*(z + 65)/3
Factor -3*u**3 + 14478*u**2 + 174108*u + 290280.
-3*(u - 4838)*(u + 2)*(u + 10)
Factor -4*f**2/5 + 1212*f.
-4*f*(f 