0.
-5, -1, -1/386, 20
Solve 12*q**5 + 1868*q**4 - 704*q**3 - 12528*q**2 - 7488*q = 0 for q.
-156, -2, -2/3, 0, 3
Factor 2*b**3 - 180*b**2 - 1968*b - 3200.
2*(b - 100)*(b + 2)*(b + 8)
Factor 3*i**2/2 - 35193*i/2 - 17598.
3*(i - 11732)*(i + 1)/2
Determine q, given that 3*q**2 + 9639*q - 28944 = 0.
-3216, 3
Factor 268*d**2/9 - 466*d/9 + 32/3.
2*(2*d - 3)*(67*d - 16)/9
Determine r, given that -5*r**2 - 57345*r + 172080 = 0.
-11472, 3
Find b such that -16*b**4/3 - 15706*b**3/3 - 41132*b**2/3 - 13694*b/3 + 3916 = 0.
-979, -2, -1, 3/8
Determine i so that -3*i**3/4 - 717*i**2/4 + 180*i = 0.
-240, 0, 1
Factor -5*v**3 - 1840*v**2 + 28655*v - 26810.
-5*(v - 14)*(v - 1)*(v + 383)
Suppose t**5/8 + 5*t**4 - 129*t**3/8 - 481*t**2/2 - 337*t/2 + 420 = 0. What is t?
-42, -5, -2, 1, 8
Factor 2*h**3/7 - 12672*h**2/7 + 20097768*h/7 - 80188448/7.
2*(h - 3166)**2*(h - 4)/7
Factor -1965*z**2 - 3927*z + 6.
-3*(z + 2)*(655*z - 1)
Factor -4*y**3 - 7896*y**2 + 23716*y - 15816.
-4*(y - 2)*(y - 1)*(y + 1977)
Let -3*p**3 - 22383*p**2 + 67188*p + 89568 = 0. Calculate p.
-7464, -1, 4
Determine o, given that o**2/2 - 122*o + 2115/2 = 0.
9, 235
Find d, given that 11*d**3 - 67*d**2 + 58*d + 136 = 0.
-1, 34/11, 4
Factor 2*p**2/7 - 557668*p/7 + 38874199778/7.
2*(p - 139417)**2/7
Factor -j**3 - 5473*j**2 - 49166*j + 54640.
-(j - 1)*(j + 10)*(j + 5464)
Let 16*o**3 + 1648*o**2 + 28548*o - 766584 = 0. Calculate o.
-117/2, 14
Factor 3*v**3 + 2457*v**2 + 40950*v + 38496.
3*(v + 1)*(v + 16)*(v + 802)
Factor 3*r**3 - 110406*r**2 + 441588*r - 441576.
3*(r - 36798)*(r - 2)**2
Let 4*r**3/7 - 1280*r**2/7 + 8692*r/7 + 22536/7 = 0. What is r?
-2, 9, 313
Let 6*j**3 + 51237*j**2 + 109371780*j - 54698700 = 0. Calculate j.
-4270, 1/2
Factor l**2/2 + 2235*l/2 + 2233.
(l + 2)*(l + 2233)/2
Factor -2*u**2 - 2924*u - 1068722.
-2*(u + 731)**2
Factor o**3 - 269*o**2 + 2095*o - 1827.
(o - 261)*(o - 7)*(o - 1)
What is t in 3*t**3 + 175791*t**2 + 2575118409*t - 2575294203 = 0?
-29299, 1
Find k such that k**3/5 - 116*k**2 - 6491*k/5 - 1182 = 0.
-10, -1, 591
Suppose 3*d**2 - 99024*d + 817146048 = 0. What is d?
16504
Solve -3*h**2/7 - 612852*h - 219092751444 = 0.
-714994
Suppose -2*i**5/9 + 158*i**4/3 - 3630*i**3 + 60966*i**2 - 361584*i + 629856 = 0. What is i?
3, 9, 108
Find o such that -o**4/2 + 33*o**3/2 - 106*o**2 - 96*o + 1152 = 0.
-3, 4, 8, 24
Suppose -3*c**3 - 324*c**2 - 6180*c - 11088 = 0. What is c?
-84, -22, -2
Factor -5*t**3 + 4095*t**2 + 54020*t + 49920.
-5*(t - 832)*(t + 1)*(t + 12)
Solve -2*q**5 - 7914*q**4 - 47430*q**3 - 71126*q**2 - 31608*q = 0 for q.
-3951, -4, -1, 0
Find t such that -t**2 - 13528*t + 40593 = 0.
-13531, 3
Suppose -2*j**5/3 - 14300*j**4 - 230094142*j**3/3 - 459973804*j**2/3 + 76698048*j + 460016704/3 = 0. What is j?
-10724, -2, -1, 1
Suppose -4*v**2 - 485608*v - 14738445604 = 0. Calculate v.
-60701
Let -5*y**2 + 19540*y - 58575 = 0. Calculate y.
3, 3905
Suppose 5*l**3 + 17880*l**2 - 504300*l + 937040 = 0. What is l?
-3604, 2, 26
Factor 14*k**3 + 11485*k**2 + 40047*k + 17154.
(k + 3)*(2*k + 1)*(7*k + 5718)
Factor 108*l**2/5 - 10*l.
2*l*(54*l - 25)/5
What is s in -4*s**2 - 656248*s + 656252 = 0?
-164063, 1
Let 2*q**3 + 10860*q**2 - 458766*q + 4826304 = 0. What is q?
-5472, 21
Factor -4*y**3 - 116192*y**2/7 + 33200*y/7.
-4*y*(y + 4150)*(7*y - 2)/7
Determine z so that -5*z**5/6 - 55*z**4/6 - 125*z**3/6 - 25*z**2/6 + 65*z/3 + 40/3 = 0.
-8, -2, -1, 1
Find d such that -4*d**2/5 + 708*d/5 + 1432/5 = 0.
-2, 179
What is v in 2*v**4/13 - 198*v**3/13 + 1498*v**2/13 - 3858*v/13 + 252 = 0?
2, 3, 91
Solve -h**4 - 36651*h**3 + 659934*h**2 - 3960036*h + 7920504 = 0.
-36669, 6
Suppose -i**2 + 5884*i + 171477 = 0. What is i?
-29, 5913
Solve 117*q**2 - 4062*q + 208 = 0 for q.
2/39, 104/3
Determine d so that -d**2/10 - 296*d/5 - 6099/2 = 0.
-535, -57
Factor w**4 - 1039*w**3 + 76986*w**2 - 1966484*w + 16890536.
(w - 961)*(w - 26)**3
Let -4*k**5 + 60*k**4 - 328*k**3 + 768*k**2 - 640*k = 0. What is k?
0, 2, 4, 5
Factor -h**2/4 - 1315*h + 5261/4.
-(h - 1)*(h + 5261)/4
Factor -a**5/4 + 687*a**4/2 - 1373*a**3/4.
-a**3*(a - 1373)*(a - 1)/4
Factor -r**2/2 - 179*r/2 + 4510.
-(r - 41)*(r + 220)/2
Factor -2*j**4/7 + 6*j**3 + 486*j**2/7 + 1566*j/7 + 1620/7.
-2*(j - 30)*(j + 3)**3/7
Suppose -5*o**3 - 1855*o**2 - 97800*o - 1399500 = 0. What is o?
-311, -30
Find h, given that -h**4/7 + 14*h**3 - 1304*h**2/7 - 10688*h/7 - 15360/7 = 0.
-4, -2, 24, 80
Factor 4*x**3 - 36*x**2 - 12208*x + 226560.
4*(x - 48)*(x - 20)*(x + 59)
Factor -3*y**2 - 483759*y/2 + 241881/2.
-3*(y + 80627)*(2*y - 1)/2
Let -25*l**3/4 - 49*l**2/4 + 301*l/2 - 6 = 0. Calculate l.
-6, 1/25, 4
Determine h so that -704*h**5 + 11778*h**4 + 29302*h**3 + 19998*h**2 + 2722*h - 456 = 0.
-1, -4/11, 3/32, 19
Factor -2473*t**3/9 + 39566*t**2/9 - 158240*t/9 - 128/9.
-(t - 8)**2*(2473*t + 2)/9
Factor h**3/6 + 887*h**2/6 - 7193*h/6 - 9845/2.
(h - 11)*(h + 3)*(h + 895)/6
Solve -8*z**2 + 101356*z - 50676 = 0.
1/2, 12669
Suppose -2*x**3 + 149794*x**2 - 2805304510*x + 19629792350 = 0. Calculate x.
7, 37445
Factor -d**4 + 91*d**3 - 1947*d**2 - 4171*d - 2132.
-(d - 52)*(d - 41)*(d + 1)**2
Factor 2*w**2/15 - 1450*w/3 - 14524/5.
2*(w - 3631)*(w + 6)/15
Factor -3*r**4 + 5694*r**3 - 2824167*r**2 + 116123436*r - 1247745708.
-3*(r - 927)**2*(r - 22)**2
Suppose 5*b**2 - 60210*b + 181262205 = 0. Calculate b.
6021
Find t such that -529*t**5 - 76958*t**4 - 2699960*t**3 + 7218032*t**2 - 3209232*t + 394272 = 0.
-74, 6/23, 2
Let j**3 - 272*j**2 + 6221*j - 11362 = 0. What is j?
2, 23, 247
Solve l**2/8 + 80617*l/4 = 0.
-161234, 0
What is v in -v**4 - 6803*v**3 - 13602*v**2 = 0?
-6801, -2, 0
Factor -5*j**2 - 127530*j - 382545.
-5*(j + 3)*(j + 25503)
Determine y, given that y**2 + 255*y + 12950 = 0.
-185, -70
Let 6*z**5/5 - 644*z**4/5 + 1968*z**3/5 + 11968*z**2/5 - 33024*z/5 - 26624/5 = 0. What is z?
-4, -2/3, 4, 104
Determine u, given that -u**2/8 - 26091*u/4 - 680740281/8 = 0.
-26091
Factor -3*p**3/7 + 519*p**2/7 + 1074*p/7 - 600.
-3*(p - 175)*(p - 2)*(p + 4)/7
Factor -35*j**3 + 4875*j**2 + 3510*j - 1400.
-5*(j - 140)*(j + 1)*(7*j - 2)
Solve 2*x**3/23 - 3802*x**2/23 + 30320*x/23 - 60576/23 = 0 for x.
4, 1893
Find n such that 2*n**3 - 480*n**2 + 23734*n - 23256 = 0.
1, 68, 171
Let 3*m**5/5 - 141*m**4 + 43806*m**3/5 - 279756*m**2/5 + 77976*m = 0. What is m?
0, 2, 5, 114
Solve -44*w**5 - 268*w**4 - 244*w**3 + 1036*w**2 + 1680*w + 144 = 0.
-3, -2, -1/11, 2
Determine r so that -2*r**2/11 - 2380*r/11 - 21258/11 = 0.
-1181, -9
Let 2*f**2/15 + 424*f/15 - 86 = 0. What is f?
-215, 3
Factor 302*x**2 + 4194*x - 476.
2*(x + 14)*(151*x - 17)
Determine x, given that -9*x**4/8 + 417*x**3 + 74589*x**2/8 + 66099*x/2 + 9996 = 0.
-17, -4, -1/3, 392
Find k, given that 12*k**5 + 3680*k**4 + 297248*k**3 + 2262456*k**2 - 3451436*k + 888040 = 0.
-149, -10, 1/3, 1
Factor -3*n**3 + 162*n**2 + 165*n.
-3*n*(n - 55)*(n + 1)
Solve 3*r**2 + 1395*r + 1392 = 0.
-464, -1
Let -1352*q**4 - 202436*q**3 - 15554913*q**2/2 - 14953013*q - 14753281/2 = 0. What is q?
-3841/52, -1
Let 2*q**5/15 - 12*q**4/5 - 154*q**3/3 + 1076*q**2 - 14184*q/5 + 9072/5 = 0. Calculate q.
-21, 1, 2, 18
Suppose 5*a**4 - 650*a**3 - 3335*a**2 - 5380*a - 2700 = 0. Calculate a.
-2, -1, 135
Factor j**3/2 + 13209*j**2 + 132059*j/2 - 79239.
(j - 1)*(j + 6)*(j + 26413)/2
Find z, given that 3*z**3 - 9315*z**2 - 18639*z - 9321 = 0.
-1, 3107
Factor 5*f**3 - 2355*f**2 - 67230*f.
5*f*(f - 498)*(f + 27)
Let -2*c**2 - 1134*c + 2276 = 0. What is c?
-569, 2
Factor -10*n**2/7 + 64644*n/7 - 25856/7.
-2*(n - 6464)*(5*n - 2)/7
Determine t so that 25*t**4/3 - 995*t**3/3 + 3078*t**2 - 6916*t/3 + 1352/3 = 0.
2/5, 13, 26
Factor -3*x**4 - 633*x**3 - 29637*x**2 + 406593*x.
-3*x*(x - 11)*(x + 111)**2
Factor -2*v**2/7 + 62324*v/7 + 249328/7.
-2*(v - 31166)*(v + 4)/7
Solve -48*y**4/7 - 456*y**3/7 + 25317*y**2/7 + 12741*y/7 + 228 = 0.
-28, -1/4, 19
Find q, given that -2*q**2/7 + 712*q/7 + 61632/7 = 0.
-72, 428
Factor 2*q**2/3 - 13996*q/3.
2*q*(q - 6998)/3
Solve 21*z**5 - 666*z**4 + 4260*z**3 + 13032*z**2 + 3360*z = 0 for z.
-2, -2/7, 0, 14, 20
Find y, given that -4*y**4/5 - 128*y**3/5 - 216*y**2 - 1792*y/5 - 836/5 = 0.
-19, -11, -1
Suppose -4*v**5 - 82712*v**4/5 - 49612*v**3/5 + 6616*v**2 = 0. What is v?
-4135, -1, 0, 2/5
Solve -f**2 + 13692*f + 109600 = 0.
-8, 13700
Let -o*