1
Determine y so that -y**2/4 - 61*y - 3721 = 0.
-122
Factor -4*h**3 - 172*h**2 - 1416*h - 3168.
-4*(h + 4)*(h + 6)*(h + 33)
Suppose q**2/3 + 78313*q - 469882/3 = 0. Calculate q.
-234941, 2
Determine w, given that -4936*w**2 - 153012*w + 124 = 0.
-31, 1/1234
Factor 16*r**2 - 23012*r + 5752.
4*(r - 1438)*(4*r - 1)
Factor 6*q**2 - 15802*q + 26320.
2*(q - 2632)*(3*q - 5)
Find o such that -o**4/6 - o**3/3 + 541*o**2/6 - 1049*o/3 + 260 = 0.
-26, 1, 3, 20
What is c in 2*c**2/7 + 4780*c/7 + 4778/7 = 0?
-2389, -1
Factor -65*j**3 - 365*j**2 + 630*j.
-5*j*(j + 7)*(13*j - 18)
Solve -94*a**5/5 + 15788*a**4/5 + 66002*a**3/5 - 109456*a**2/5 - 166456*a/5 - 1376 = 0 for a.
-5, -1, -2/47, 2, 172
What is n in -3*n**5/4 - 21*n**4/2 - 18*n**3 + 141*n**2/2 - 165*n/4 = 0?
-11, -5, 0, 1
Suppose -4*n**4 + 315288*n**3 - 945840*n**2 + 945832*n - 315276 = 0. Calculate n.
1, 78819
Suppose 2*m**3 - 100*m**2 - 1200*m = 0. Calculate m.
-10, 0, 60
Factor 5*f**2 + 316445*f - 632910.
5*(f - 2)*(f + 63291)
Factor -3*u**4 - 1557*u**3 - 161253*u**2 - 6197847*u - 81878148.
-3*(u + 41)**3*(u + 396)
Solve -4*i**5 - 88*i**4 - 324*i**3 + 2448*i**2 + 5184*i - 20736 = 0 for i.
-12, -4, 3
Factor 5*u**4 - 4185*u**3 + 61650*u**2.
5*u**2*(u - 822)*(u - 15)
Factor h**5 - 9*h**4 + 23*h**3 - 3*h**2 - 36*h.
h*(h - 4)*(h - 3)**2*(h + 1)
Factor -3*g**2/2 - 1241130*g - 256733946150.
-3*(g + 413710)**2/2
Factor 3*o**2 + 874020*o + 63659246700.
3*(o + 145670)**2
Let -5*r**5 - 610*r**4 - 8705*r**3 - 23040*r**2 + 85860*r = 0. What is r?
-106, -9, 0, 2
Factor 2*d**2 + 302396*d + 11430417602.
2*(d + 75599)**2
Find k, given that -350*k**5 - 7835*k**4 + 109090*k**3 + 44540*k**2 - 18760*k - 6400 = 0.
-32, -1/2, -2/7, 2/5, 10
Solve a**2/2 + 978*a + 1954 = 0 for a.
-1954, -2
Factor 27*h**3 - 7377*h**2 - 123210*h + 27744.
3*(h - 289)*(h + 16)*(9*h - 2)
Factor 5*b**3/4 + 13055*b**2/2 + 52160*b + 104280.
5*(b + 4)**2*(b + 5214)/4
Let -2*v**5 + 654*v**4 - 13420*v**3 = 0. Calculate v.
0, 22, 305
Solve -27*u**4 + 276*u**3 + 108*u**2 - 1104*u = 0.
-2, 0, 2, 92/9
Suppose -38*t**5/17 + 844*t**4/17 + 4650*t**3/17 + 7040*t**2/17 + 2408*t/17 - 864/17 = 0. What is t?
-2, -1, 4/19, 27
Solve -20*b**5 - 9452*b**4 - 141996*b**3 + 270572*b**2 + 847376*b - 372912 = 0.
-457, -17, -2, 2/5, 3
Factor -3*u**2/2 + 10497*u - 20991/2.
-3*(u - 6997)*(u - 1)/2
Factor -2*n**2 + 5152*n + 130050.
-2*(n - 2601)*(n + 25)
Solve 2*q**5/3 + 2502*q**4 + 7061206*q**3/3 + 35021326*q**2/3 - 30418768*q + 49166264/3 = 0.
-1874, -7, 1
Find l, given that 2*l**3 + 23110*l**2 = 0.
-11555, 0
Let 4*q**3/5 + 5608*q**2/5 + 137596*q/5 - 143208/5 = 0. What is q?
-1377, -26, 1
Factor z**2/7 + 38*z - 3773.
(z - 77)*(z + 343)/7
Suppose -y**2 - 1348*y = 0. What is y?
-1348, 0
Determine i, given that i**2/6 + 5279*i/2 - 7919/3 = 0.
-15838, 1
Factor 4*o**3/5 - 25268*o**2/5 + 39841244*o/5 + 39967684.
4*(o - 3161)**2*(o + 5)/5
What is w in -3*w**2 + 11090*w + 3697 = 0?
-1/3, 3697
Solve 2*w**4 - 602*w**3 + 41158*w**2 + 633338*w + 591576 = 0.
-12, -1, 157
Factor -2*k**3 + 14014*k**2.
-2*k**2*(k - 7007)
Suppose -5*t**4 - 630*t**3 = 0. Calculate t.
-126, 0
What is o in 2*o**4/3 - 590*o**3/3 + 4040*o**2/3 - 760*o - 2304 = 0?
-1, 2, 6, 288
Find c such that -4*c**2/5 + 2968*c/5 - 11808/5 = 0.
4, 738
What is m in -9*m**3/5 - 1408*m**2/5 - 50949*m/5 + 65610 = 0?
-81, 50/9
Let -2*w**3/5 + 15132*w**2/5 - 28637304*w/5 + 57214096/5 = 0. Calculate w.
2, 3782
Factor -m**3 - 26687*m**2 + 4*m + 106748.
-(m - 2)*(m + 2)*(m + 26687)
Factor 2*w**2/3 + 136*w + 6210.
2*(w + 69)*(w + 135)/3
Factor 5*j**3 + 31090*j**2 - 124425*j + 93330.
5*(j - 3)*(j - 1)*(j + 6222)
Let t**3 + 150*t**2 + 2376*t = 0. What is t?
-132, -18, 0
Solve 2*h**4/7 + 47864*h**3/7 + 40903206*h**2 - 572836356*h/7 = 0.
-11967, 0, 2
Solve 5*a**3 + 995*a**2 + 42400*a - 730340 = 0.
-106, 13
Factor 2*r**4/11 - 20450*r**3/11 + 69707232*r**2/11 - 79233873408*r/11 + 79164186624/11.
2*(r - 3408)**3*(r - 1)/11
Factor -397*m**3 + 47*m**2 + 397*m - 47.
-(m - 1)*(m + 1)*(397*m - 47)
Suppose 3*b**2 + 5709*b + 73710 = 0. What is b?
-1890, -13
Let -2*g**2/15 - 755228*g/15 - 71296166498/15 = 0. Calculate g.
-188807
Factor 5*y**2 + 8415*y - 153090.
5*(y - 18)*(y + 1701)
Solve 4*d**5 - 188*d**4 - 1224*d**3 - 2512*d**2 - 1696*d = 0 for d.
-2, 0, 53
Factor -2*m**4/3 + 3100*m**3/3 - 30850*m**2/3 + 77000*m/3.
-2*m*(m - 1540)*(m - 5)**2/3
Factor a**2 + 24386*a + 148669249.
(a + 12193)**2
Factor -b**3/4 - 184*b**2 - 29589*b/4 - 153027/2.
-(b + 21)**2*(b + 694)/4
Find j such that 5*j**3 - 752*j**2 + 7300*j - 2800 = 0.
2/5, 10, 140
Determine v so that -v**4/4 - 12693*v**3/4 - 20104085*v**2/2 + 110924976*v - 100869760 = 0.
-6352, 1, 10
Determine k, given that -3*k**4/2 - 732*k**3 - 109620*k**2 - 3269808*k + 268669224 = 0.
-174, 34
Determine s, given that -5*s**4 - 80*s**3 + 285*s**2 = 0.
-19, 0, 3
Factor -b**4 + 1088*b**3 + 2200*b**2 - 21824*b + 26160.
-(b - 1090)*(b - 2)**2*(b + 6)
Factor 10*h**3 - 76*h**2 + 882*h/5 - 648/5.
2*(h - 4)*(5*h - 9)**2/5
Find b such that -4*b**5 + 460*b**4 + 48*b**3 - 5584*b**2 + 7360*b = 0.
-4, 0, 2, 115
Find f, given that 5*f**3 - 840*f**2 - 7865*f - 17700 = 0.
-5, -4, 177
Solve -2*m**4/3 + 8*m**3 + 220*m**2 + 3800*m/3 + 2250 = 0.
-5, 27
Factor 4*r**5 - 16*r**4 - 152*r**3 - 240*r**2 - 108*r.
4*r*(r - 9)*(r + 1)**2*(r + 3)
Factor -n**2/2 - 623*n/2 + 1570.
-(n - 5)*(n + 628)/2
Factor 50721125*h**4/2 + 101537800*h**3 + 101824540*h**2 + 382560*h + 360.
5*(h + 2)**2*(3185*h + 6)**2/2
Suppose -2*q**2/9 - 49354*q/9 - 49352/9 = 0. What is q?
-24676, -1
Factor -2*b**2 - 224*b + 57096.
-2*(b - 122)*(b + 234)
Determine c, given that c**4/4 - 7153*c**3/4 + 50033*c**2/4 - 78611*c/4 + 17865/2 = 0.
1, 5, 7146
Find t, given that -14*t**5 + 24*t**4 + 18698*t**3 + 301132*t**2 + 974016*t + 254144 = 0.
-19, -4, -2/7, 44
Factor -2*s**2/5 - 2203544*s/5 - 606950769992/5.
-2*(s + 550886)**2/5
Factor -t**4/2 - 40*t**3 - 149*t**2/2 + 271*t - 156.
-(t - 1)**2*(t + 4)*(t + 78)/2
Determine s, given that -3*s**3/4 - 315*s**2 + 53481*s/4 - 50949/2 = 0.
-459, 2, 37
Factor -4*a**2 - 2164*a - 21240.
-4*(a + 10)*(a + 531)
Factor 3*u**2/2 - 46917*u + 733734963/2.
3*(u - 15639)**2/2
What is j in 2*j**3/3 + 14648*j**2/3 + 26878984*j/3 + 214095424/3 = 0?
-3658, -8
Factor c**2/3 + 15574*c - 93448/3.
(c - 2)*(c + 46724)/3
Solve -22*u**4/5 - 6652*u**3/5 - 2386*u**2/5 + 1812*u = 0 for u.
-302, -15/11, 0, 1
Find d such that -109*d**5/3 + 2069*d**4/3 - 7919*d**3/3 + 3451*d**2/3 + 4600*d + 84 = 0.
-1, -2/109, 3, 14
Suppose -3*w**4 + 4860*w**3 - 979254*w**2 + 52454148*w + 53438265 = 0. What is w?
-1, 113, 1395
Factor b**2/2 - 2483*b.
b*(b - 4966)/2
Suppose -2*i**5/5 - 516*i**4/5 + 418*i**3 - 1572*i**2/5 = 0. What is i?
-262, 0, 1, 3
Factor -f**2/3 - 2050*f + 12304/3.
-(f - 2)*(f + 6152)/3
Solve -3*v**5/2 - 177*v**4 - 6120*v**3 - 50385*v**2 + 12243*v/2 + 50562 = 0.
-53, -12, -1, 1
Find t such that 18*t**5 - 570*t**4 - 69148*t**3 - 416136*t**2 - 463344*t - 144320 = 0.
-44, -5, -2/3, 82
Factor 49*u**3/2 - 443856*u**2 + 253626*u - 36232.
(u - 18116)*(7*u - 2)**2/2
Find o, given that o**5/7 + 244*o**4 + 725892*o**3/7 - 417728*o**2 + 2930944*o/7 = 0.
-856, 0, 2
Determine g, given that 3*g**3/2 + 116031*g**2 - 464145*g/2 - 348102 = 0.
-77356, -1, 3
Find f such that -8150*f**3 + 24445*f**2 + 15*f = 0.
-1/1630, 0, 3
Find j such that j**4/2 - 4523*j**3/2 + 2260*j**2 + 4522*j = 0.
-1, 0, 2, 4522
Factor 5*x**2 - 2809490*x + 394661703005.
5*(x - 280949)**2
Solve -2*f**4 + 230*f**3/7 - 648*f**2/7 + 40*f + 416/7 = 0 for f.
-4/7, 2, 13
Determine q, given that 2*q**5/5 + 12*q**4/5 - 36*q**3/5 - 216*q**2/5 + 162*q/5 + 972/5 = 0.
-6, -3, 3
Determine m, given that 5*m**5 - 28*m**4/3 - 55*m**3/3 + 4*m**2 = 0.
-4/3, 0, 1/5, 3
Let -3*w**5/5 + 129*w**4/5 - 2073*w**3/5 + 15819*w**2/5 - 11568*w + 16320 = 0. Calculate w.
5, 8, 17
Factor -8*v**3/3 + 229*v**2/3 + 583*v/3 + 62.
-(v - 31)*(v + 2)*(8*v + 3)/3
Factor 3*o**3/5 + 536*o**2/5 + 20693*o/5 - 10248.
(o + 61)*(o + 120)*(3*o - 7)/5
Factor -5*f**3 + 35285*f**2 - 141080*f + 141060.
-5*(f - 7053)*(f - 2)**2
Let 2*l**3 - 68*l**2 + 80*l + 1536 = 0. What is l?
-4, 6, 32
Find p, given that 3*p**2 + 636912*p + 636909 = 0.
-212303, -1
Factor -u**3 + 587*u**2 + 10809*u + 49005.
-(u - 605)*(u + 9)**2
Suppose 4*f**4 - 9348*f**3 + 5540280*f**2 -