963)/8
Determine c so that 17*c**4 + 17166292*c**3 + 5778069543072*c**2 + 648287393411508912*c - 76269185080545168 = 0.
-336594, 2/17
Solve -5*c**5/2 - 22950*c**4 - 105156555*c**3/2 + 422578820*c**2 + 1105523130*c - 5698305720 = 0.
-4594, -4, 3, 9
Factor -2*t**2 - 611184*t - 611182.
-2*(t + 1)*(t + 305591)
Find c such that -5*c**3 - 14765*c**2 - 9647870*c + 9662640 = 0.
-1976, -978, 1
Suppose 4*z**4 - 123556*z**3 + 10603272*z**2 - 216837632*z - 477076864 = 0. What is z?
-2, 44, 30803
Factor -6*v**2/13 + 358622*v/13 + 239084/13.
-2*(v - 59771)*(3*v + 2)/13
Let 2*i**4 + 17650*i**3 - 141486*i**2 - 1395754*i - 1236620 = 0. Calculate i.
-8833, -5, -1, 14
Factor 5*w**2 - 306735220*w.
5*w*(w - 61347044)
Determine i, given that 4*i**4 - 859*i**3 + 30927*i**2 = 0.
0, 183/4, 169
Suppose -3*o**3/4 - 2577*o**2/4 - 133383*o - 264195 = 0. Calculate o.
-515, -342, -2
Suppose 3*b**4 - 4052789*b**3 - 5403733*b**2 + 12158369*b + 13509310 = 0. Calculate b.
-2, -1, 5/3, 1350931
Factor m**3/4 - 68453*m**2/4 + 34225*m/2 + 34226.
(m - 68452)*(m - 2)*(m + 1)/4
Factor 2*c**2 - 5478604*c - 54786240.
2*(c - 2739312)*(c + 10)
Let -3*h**2/4 + 4521*h/2 - 5976795/4 = 0. What is h?
979, 2035
Let -z**2/4 + 128552*z - 514207/4 = 0. Calculate z.
1, 514207
Factor n**3 - 2439423*n**2 - n + 2439423.
(n - 2439423)*(n - 1)*(n + 1)
Find j, given that 40*j**4/3 - 7924*j**3/3 - 288676*j**2/3 - 142352*j/3 = 0.
-31, -1/2, 0, 1148/5
Factor -s**2 - 10204871*s - 10204870.
-(s + 1)*(s + 10204870)
Suppose q**5 + 795*q**4 - 554513*q**3 - 3360963*q**2 + 3914680*q = 0. Calculate q.
-1240, -7, 0, 1, 451
Factor -r**3 - 2133*r**2 - 6182*r + 443040.
-(r - 13)*(r + 16)*(r + 2130)
Determine h, given that h**4/3 - 9257156*h**3/3 + 7141247853079*h**2 - 14282483363286*h = 0.
0, 2, 4628577
Suppose 5*r**3 + 8305*r**2 - 510850*r - 5934000 = 0. Calculate r.
-1720, -10, 69
Factor 2*h**4/21 + 6650*h**3/3 + 3698400*h**2/7 + 885568000*h/21 + 23587840000/21.
2*(h + 80)**3*(h + 23035)/21
Solve -4*o**4 + 568324*o**3 + 6251920*o**2 + 18187664*o + 15914304 = 0.
-7, -2, 142092
Determine w, given that 69*w**3 - 3380*w**2 - 66289*w - 960 = 0.
-15, -1/69, 64
Factor -4*u**2 + 6200*u - 436896.
-4*(u - 1476)*(u - 74)
What is b in b**5/3 - 13975*b**4 - 307559*b**3 - 6585283*b**2/3 - 5536896*b - 4530276 = 0?
-9, -2, 41947
Determine c, given that 2*c**4 - 139122*c**3 + 67416218*c**2 - 66998862*c - 134554204 = 0.
-1, 2, 487, 69073
Let -145*f**3/2 - 5100*f**2 + 17665*f/2 + 13860 = 0. Calculate f.
-72, -1, 77/29
Suppose -3*k**2/4 + 61089*k/4 - 9166152 = 0. What is k?
619, 19744
Let -4*g**2/7 - 1912*g/7 + 289916/7 = 0. What is g?
-599, 121
Let -4*v**2/3 + 8164292*v + 122464480/3 = 0. Calculate v.
-5, 6123224
Let g**3 - 19942*g**2 + 597585*g - 4480200 = 0. What is g?
15, 19912
Factor -5*c**4 + 12473045*c**3 - 7778848815120*c**2 + 7778836342080*c.
-5*c*(c - 1247304)**2*(c - 1)
Find g such that 3*g**2/4 + 15886185*g/4 + 7943091/2 = 0.
-5295394, -1
Find o, given that 3*o**2 + 10884*o + 6320556 = 0.
-2902, -726
Suppose -15*m**5/7 + 3903*m**4/7 + 5655*m**3 + 28377*m**2/7 - 7290*m/7 = 0. What is m?
-9, -1, 0, 1/5, 270
Let 5*k**3 + 190580*k**2 - 1143635*k + 953050 = 0. What is k?
-38122, 1, 5
Factor 3*c**3 - 90436671*c**2 + 681565909911849*c + 681566000348523.
3*(c - 15072779)**2*(c + 1)
Factor 2*k**2/7 - 5776038*k/7 + 825148.
2*(k - 2888018)*(k - 1)/7
Factor 4*g**3 + 4568*g**2 + 1738352*g + 220444576.
4*(g + 374)**2*(g + 394)
Solve -3*r**4/7 - 18056424*r**3/7 - 27169356740808*r**2/7 + 543392551755360*r/7 - 2716971787018800/7 = 0.
-3009414, 10
Suppose 30*l**5 - 2842*l**4 - 246370*l**3 + 23044074*l**2 + 29514852*l + 6227280 = 0. Calculate l.
-90, -1, -4/15, 93
Factor h**3 - 211502*h**2 - 4442029*h + 9730058.
(h - 211523)*(h - 2)*(h + 23)
What is t in 36*t**4/11 + 13562*t**3 + 1926316*t**2/11 + 5246298*t/11 - 297432/11 = 0?
-4131, -9, -4, 1/18
Suppose -4*m**3 + 16660*m**2 - 14568092*m - 6003491956 = 0. What is m?
-301, 2233
Factor -2*w**2 - 941932*w - 110904486578.
-2*(w + 235483)**2
Suppose -4*q**2 - 4359332*q - 8718648 = 0. What is q?
-1089831, -2
What is y in y**2/6 - 4985276*y/3 + 12426488398088/3 = 0?
4985276
Factor h**3/2 + 143*h**2/2 + 705*h - 2772.
(h - 3)*(h + 14)*(h + 132)/2
Factor -2*g**4/15 + 29662*g**3/15 + 148810*g**2 + 11173250*g/3 + 93162500/3.
-2*(g - 14906)*(g + 25)**3/15
Suppose 2*j**3/7 + 4438172*j**2/7 + 2462158023128*j/7 - 14773107913392/7 = 0. What is j?
-1109546, 6
Find j such that 2*j**3/5 + 198*j**2/5 - 34152*j/5 - 986648/5 = 0.
-179, -26, 106
What is t in -t**5/7 - 519*t**4/7 - 47013*t**3/7 - 223733*t**2/7 - 128694*t/7 + 399960/7 = 0?
-404, -110, -3, 1
What is z in 2*z**5/9 + 14050*z**4/9 + 6242*z**3 + 70214*z**2/9 + 28084*z/9 = 0?
-7021, -2, -1, 0
Factor 2*s**2/17 - 1737018*s/17 - 1737020/17.
2*(s - 868510)*(s + 1)/17
Factor -c**3 - 9135*c**2 - 21030027*c - 765655837.
-(c + 37)*(c + 4549)**2
Suppose -2*l**4/9 - 32*l**3/3 + 1418*l**2 + 148816*l/9 + 45320/3 = 0. What is l?
-103, -10, -1, 66
Find l, given that -l**4 + 2508*l**3 - 754949*l**2 - 757458*l = 0.
-1, 0, 351, 2158
Factor -3*b**3 - 201054*b**2 - 111254040*b.
-3*b*(b + 558)*(b + 66460)
Find w such that 4*w**4 - 2588*w**3 - 1723872*w**2 - 212358080*w - 210636800 = 0.
-220, -1, 1088
Let 2*b**4/7 - 40104*b**3/7 + 201241764*b**2/7 - 2009250584*b/7 + 602522646 = 0. What is b?
3, 7, 10021
Find v, given that 5*v**4 - 8015*v**3 + 3109900*v**2 + 82140740*v + 278290320 = 0.
-21, -4, 814
Find s such that 2*s**2/5 + 6862*s/5 + 183816/5 = 0.
-3404, -27
Suppose -4*h**2 + 2915296*h + 271157124 = 0. What is h?
-93, 728917
Find h, given that 40*h**2 + 292092*h + 87624 = 0.
-7302, -3/10
Let 5*j**3/3 - 31850*j**2/3 - 21596015*j/3 + 21627860/3 = 0. What is j?
-619, 1, 6988
Factor 5*a**3 + 61595*a**2 + 246000*a - 3694500.
5*(a - 6)*(a + 10)*(a + 12315)
Find u such that -u**3/5 + 267*u**2 + 76816*u/5 - 101748 = 0.
-61, 6, 1390
Let -d**2/4 + 21425194*d - 459038937937636 = 0. What is d?
42850388
Determine n so that n**2/3 - 21904258*n + 359847388897923 = 0.
32856387
Find a, given that 2*a**3/13 - 3957620*a**2/13 + 1957836592786*a/13 + 7831409693192/13 = 0.
-4, 989407
Suppose 1254247095847*f**5/5 - 467377137273*f**4 - 347916609142*f**3/5 + 9438888536*f**2/5 - 79492896*f/5 + 43904 = 0. What is f?
-5/31, 28/3433, 2
Suppose d**4 + 43500*d**3 + 33686502*d**2 + 6630979948*d + 19590935745 = 0. Calculate d.
-42715, -391, -3
Find t such that 3*t**2 - 225168276*t + 4225062709734348 = 0.
37528046
Factor m**3/2 + 116922*m**2 + 6839350656*m + 464535354496.
(m + 68)*(m + 116888)**2/2
Factor -z**3/2 - 133915*z**2/2 - 2945404*z - 32396782.
-(z + 22)**2*(z + 133871)/2
Find h such that 4*h**3 - 44868*h**2 + 6134652*h - 210988476 = 0.
69, 11079
Determine k so that -3*k**4 - 114*k**3 + 5652*k**2 + 24690*k - 30225 = 0.
-65, -5, 1, 31
Suppose l**4/3 + 350*l**3 + 34816*l**2 + 205750*l/3 + 34117 = 0. What is l?
-939, -109, -1
Let -261892*s**2/7 - 1571351*s/7 + 6/7 = 0. Calculate s.
-6, 1/261892
Factor 8562727*x**2 + 552124*x/5 - 4/5.
(155*x + 2)*(276217*x - 2)/5
Find r such that r**5 - 1288*r**4 + 387121*r**3 - 769098*r**2 = 0.
0, 2, 473, 813
Let v**2 - 357312*v + 1786535 = 0. What is v?
5, 357307
Find j such that -735515*j**2/6 + 245165*j/2 + 10/3 = 0.
-4/147103, 1
Find u, given that 2*u**4 + 12802*u**3 - 463200*u**2 + 1699112*u - 1647872 = 0.
-6437, 2, 32
Solve 3*v**2 + 24966*v + 47432535 = 0 for v.
-5387, -2935
Solve u**2 - 1618*u - 365619 = 0 for u.
-201, 1819
Factor -2*j**4/17 + 35680*j**3/17 + 71368*j**2/17.
-2*j**2*(j - 17842)*(j + 2)/17
Solve 4*a**4/5 + 28400*a**3 + 1703316*a**2/5 - 3832648*a/5 + 1987328/5 = 0 for a.
-35488, -14, 1
Solve 2*r**2 + 14744*r + 4066790 = 0 for r.
-7085, -287
Let 2*i**3/7 - 182850*i**2/7 - 9045900*i = 0. Calculate i.
-345, 0, 91770
Let 4*v**2 - 2231722*v/3 - 371954/3 = 0. What is v?
-1/6, 185977
Factor 5*l**3/6 + 176495*l**2/3 + 6697991405*l/6 + 2698891154350.
5*(l + 2820)*(l + 33889)**2/6
Determine q so that q**4/3 + 185*q**3/3 - 10649*q**2/3 + 19597*q - 28536 = 0.
-232, 3, 41
Suppose -2*j**3 - 2350*j**2 - 620612*j + 1250640 = 0. Calculate j.
-772, -405, 2
Find q, given that 2*q**3/9 - 335776*q**2/9 + 14099232296*q/9 - 56348587808 = 0.
36, 83926
Factor 2*p**2/5 - 4736*p/5 - 1538730.
2*(p - 3475)*(p + 1107)/5
Factor 2*w**2/7 + 87286*w/7 + 1570500/7.
2*(w + 18)*(w +