2 = 0.
1863/17386
Find p such that p**2/7 - 16188*p/7 + 533115/7 = 0.
33, 16155
Factor -2*u**2/5 - 157751276*u - 15553415674767610.
-2*(u + 197189095)**2/5
Factor -2*v**2/3 + 216862*v - 1301164/3.
-2*(v - 325291)*(v - 2)/3
Suppose -m**4/7 + 251*m**3/7 - 2691*m**2 + 374625*m/7 - 961038/7 = 0. Calculate m.
3, 26, 111
Factor 2*y**2/7 - 215886*y/7 + 740016.
2*(y - 107919)*(y - 24)/7
Suppose -2*d**4/3 + 877930*d**3/3 - 96342062804*d**2/3 - 224809559768*d - 321160694640 = 0. What is d?
-5, -2, 219486
Solve -2*y**3/9 - 58850*y**2/9 - 49747456*y - 24002370216 = 0 for y.
-14454, -517
Factor 3*r**2/7 + 150074130*r/7 + 1876853707938075/7.
3*(r + 25012355)**2/7
Solve 4*x**5/9 + 152*x**4/9 - 5776*x**3/3 + 32040*x**2 - 30132*x = 0 for x.
-93, 0, 1, 27
Find v, given that -340*v**4 + 186636*v**3 - 23740584*v**2 - 522714496*v - 36779136 = 0.
-19, -6/85, 284
Suppose -3677*j**5/4 + 11023*j**4/8 + 16548*j**3 + 40483*j**2/2 + 22*j = 0. What is j?
-2, -4/3677, 0, 11/2
Determine n, given that n**2/3 - 26389937*n/9 - 8796646/9 = 0.
-1/3, 8796646
Solve p**4/3 - 10445*p**3/3 + 11462736*p**2 - 34256114980*p/3 + 34221737216/3 = 0 for p.
1, 1856, 4294
Factor -228*b**2 + 1458963*b + 57591.
-3*(b - 6399)*(76*b + 3)
Factor 2*a**2 - 1410698448*a + 248758763898701088.
2*(a - 352674612)**2
Solve 4*f**4 + 7008*f**3 + 1661852*f**2 - 1375325760*f - 23826716928 = 0.
-1032, -17, 329
Factor -w**2/5 - 55912*w/5 - 10920336/5.
-(w + 196)*(w + 55716)/5
Let -1093*w**4 + 65582*w**3/5 - 60139*w**2/5 + 22*w/5 = 0. Calculate w.
0, 2/5465, 1, 11
Factor 14*n**2 - 12614447*n/3 - 300344/3.
(n - 300344)*(42*n + 1)/3
Determine u, given that -6*u**2/7 - 648546*u - 27238716/7 = 0.
-756631, -6
What is a in a**5 + 22*a**4 + 59*a**3 - 994*a**2 - 2832*a + 3744 = 0?
-13, -12, -4, 1, 6
Let -3*t**2/5 - 8421*t/5 + 2786082/5 = 0. What is t?
-3106, 299
Suppose 2*k**3/5 - 48566*k**2/5 - 340048*k/5 - 58296 = 0. Calculate k.
-6, -1, 24290
Let 2388*f**5/7 - 3574*f**4/7 - 3884094*f**3/7 - 11604364*f**2/7 - 7752072*f/7 - 25840/7 = 0. What is f?
-38, -2, -1, -2/597, 85/2
Factor 18*r**3 + 815466*r**2 - 56603872*r + 981508736.
2*(r + 45373)*(3*r - 104)**2
Solve 2*h**4/9 - 58*h**3/9 - 23104*h**2/3 + 116232*h - 419040 = 0 for h.
-180, 6, 9, 194
Suppose 2*x**4 - 64662*x**3 + 581796*x**2 = 0. What is x?
0, 9, 32322
Factor -2*b**3/7 + 892*b**2 + 3935368*b/7 + 568501104/7.
-2*(b - 3678)*(b + 278)**2/7
Let -72*r**5 + 56329*r**4 - 1641640*r**3 - 1113675*r**2 + 537742*r - 46624 = 0. What is r?
-1, 1/8, 2/9, 31, 752
Factor 4*y**4 - 29360*y**3 + 61717200*y**2 - 28778672000*y + 3843168160000.
4*(y - 3380)**2*(y - 290)**2
Find r, given that 15*r**2 - 11275*r - 8646610 = 0.
-1414/3, 1223
Let -2*p**3/9 - 1238*p**2/9 - 27512*p/3 = 0. Calculate p.
-543, -76, 0
Determine c so that 4*c**2 - 46144*c + 46140 = 0.
1, 11535
Factor d**4 + 862*d**3 - 21220*d**2 + 38984*d.
d*(d - 22)*(d - 2)*(d + 886)
Suppose -2*g**5/7 + 1394854*g**4/7 - 4184542*g**3/7 - 1394854*g**2/7 + 597792*g = 0. What is g?
-1, 0, 1, 3, 697424
Suppose 2*l**3/11 + 9820*l**2/11 + 457214*l/11 + 447396/11 = 0. Calculate l.
-4863, -46, -1
Determine z so that -2*z**3/5 - 11334*z**2/5 - 19528326*z/5 - 9224310338/5 = 0.
-2449, -769
Determine h so that -11*h**2 - 18444923*h - 3353622 = 0.
-1676811, -2/11
Determine s so that -3430*s**5 + 17177685*s**4 - 395082800*s**3 + 2966548750*s**2 - 6709601250*s - 4146896875 = 0.
-1/2, 55/7, 4985
Factor 2*f**2 - 17426*f + 37550480.
2*(f - 4808)*(f - 3905)
Determine k, given that -40*k**3 - 4772*k**2 - 88800*k + 64512 = 0.
-96, -24, 7/10
Factor 5*r**2 - 342345*r - 42871250.
5*(r - 68594)*(r + 125)
Solve -5*z**5 - 4160*z**4 + 7715610*z**3 + 23221280*z**2 - 69572725*z + 38640000 = 0 for z.
-1725, -5, 1, 896
Factor 2*b**2 - 504118*b - 4537224.
2*(b - 252068)*(b + 9)
Suppose -20*h**3/3 - 2436398*h**2/3 + 1218212*h/15 + 97456 = 0. What is h?
-121820, -3/10, 2/5
Factor -5*g**4 - 5782560*g**3 + 17347710*g**2 - 17347720*g + 5782575.
-5*(g - 1)**3*(g + 1156515)
Factor -q**2/5 + 116948896*q/5 - 3419261068904704/5.
-(q - 58474448)**2/5
Let 3*x**3/4 + 9987*x**2/2 - 160368*x + 1284480 = 0. Calculate x.
-6690, 16
Factor 3*x**2 + 140657520*x + 1648711494379200.
3*(x + 23442920)**2
Solve r**3/3 - 3526474*r**2/3 + 3109004718169*r/3 = 0.
0, 1763237
Suppose -q**4/3 + 40*q**3 - 152*q**2/3 - 3424*q + 14160 = 0. What is q?
-10, 6, 118
Find h, given that 2*h**3 + 516004*h**2 + 15994318*h + 29924636 = 0.
-257971, -29, -2
Find v such that 5*v**5 + 1045*v**4/3 + 12545*v**3/3 - 117265*v**2/3 - 12560*v/3 + 38740 = 0.
-149/3, -26, -1, 1, 6
Suppose -2*m**2/11 + 176287008*m/11 - 3884638648699008/11 = 0. What is m?
44071752
Suppose 4*p**4 - 368*p**3 - 1948*p**2 + 40280*p - 69888 = 0. Calculate p.
-13, 2, 7, 96
Factor -2*k**3/5 + 26858724*k**2/5 - 90173881863522*k/5.
-2*k*(k - 6714681)**2/5
Factor a**2 + 19928298*a + 19928297.
(a + 1)*(a + 19928297)
Find i, given that -3*i**3 - 1125*i**2 - 65382*i + 1781640 = 0.
-294, -101, 20
Find j such that -5*j**2 - 3335835*j - 133425400 = 0.
-667127, -40
Suppose -2*l**2/11 - 6921194*l/11 + 1887600 = 0. What is l?
-3460600, 3
Solve a**3 - 679890*a**2 - 1359783*a - 679892 = 0 for a.
-1, 679892
Factor 5*m**3 + 106235*m**2 - 2766090*m - 12763800.
5*(m - 30)*(m + 4)*(m + 21273)
Factor d**3/4 - 112071*d**2 - d/4 + 112071.
(d - 448284)*(d - 1)*(d + 1)/4
Determine d, given that 2*d**3/19 - 56504*d**2/19 + 621350*d/19 - 1355568/19 = 0.
3, 8, 28241
Factor 4*q**4 - 2620*q**3 - 1483664*q**2.
4*q**2*(q - 1019)*(q + 364)
Determine t so that t**4/5 - 9876*t**3/5 - 25705*t**2 - 316428*t/5 - 39556 = 0.
-10, -2, -1, 9889
Factor 2*g**3 - 305894*g**2 + 305892*g.
2*g*(g - 152946)*(g - 1)
Factor 4*h**3 + 25280*h**2 + 42189652*h + 6998427816.
4*(h + 186)*(h + 3067)**2
Factor t**2/5 + 128723*t/5 + 205944.
(t + 8)*(t + 128715)/5
Factor 24875*r**2 - 162234770*r + 130440.
5*(r - 6522)*(4975*r - 4)
Factor -2*j**2/13 - 4182*j/13 + 88844.
-2*(j - 247)*(j + 2338)/13
Find q such that 440*q**3 + 1700165*q**2 + 19320*q = 0.
-3864, -1/88, 0
Suppose -11*d**4 - 595*d**3/2 + 61*d**2/2 + 1190*d + 54 = 0. Calculate d.
-27, -2, -1/22, 2
Suppose 3*o**4/2 + 2532*o**3 - 153669*o**2 + 1654488*o + 39952143/2 = 0. What is o?
-1747, -7, 33
Solve -p**3/5 - 461933*p**2 - 266728775440*p - 1333632328900 = 0 for p.
-1154830, -5
Factor -q**2 + 27606*q - 3599225.
-(q - 27475)*(q - 131)
Find a such that a**4/2 + 62*a**3 - 8087*a**2/2 + 33735*a = 0.
-173, 0, 10, 39
Factor 5*q**4 + 207145*q**3 + 3313360*q**2 + 13252160*q.
5*q*(q + 8)**2*(q + 41413)
Find c such that c**5/4 - 157*c**4/4 - 985*c**3/4 + 1105*c**2/4 + 1476*c - 1467 = 0.
-6, -3, 1, 2, 163
Let -550*w**4/7 - 1613940*w**3/7 + 4308366*w**2 + 24901400*w/7 + 5031912/7 = 0. What is w?
-2953, -2/5, 213/11
Suppose w**5/8 - 12511*w**4/4 + 100069*w**3/8 + 18767*w**2/2 - 87565*w/2 + 25018 = 0. What is w?
-2, 1, 4, 25018
Determine c, given that -c**2 - 277*c - 17460 = 0.
-180, -97
Solve f**4/7 - 2927*f**3/7 - 425973*f**2/7 - 20191545*f/7 - 316847700/7 = 0 for f.
-51, -45, 3068
Factor 4*u**3 - 6177688*u**2.
4*u**2*(u - 1544422)
Suppose -3*j**3 - 2283*j**2 - 145110*j = 0. What is j?
-691, -70, 0
Suppose t**4 - 4626*t**3 - 121217*t**2 + 1233018*t - 1107176 = 0. What is t?
-34, 1, 7, 4652
Determine u, given that 1009352450*u**3 - 3054745770*u**2 + 80241678*u - 529254 = 0.
297/22465, 3
Factor -z**2/7 - 14092*z - 14380708/7.
-(z + 146)*(z + 98498)/7
Find i, given that -3*i**4/2 - 7610430*i**3 - 19306214928297*i**2/2 + 7610430*i + 9653107464150 = 0.
-2536810, -1, 1
Factor -4*p**2 - 33940*p - 69889824.
-4*(p + 3517)*(p + 4968)
What is n in -3*n**2/2 + 9322707*n - 28970955269283/2 = 0?
3107569
Factor 2*g**3/21 - 204*g**2 - 1554000*g.
2*g*(g - 5250)*(g + 3108)/21
Factor 5*x**2 + 118755*x + 118750.
5*(x + 1)*(x + 23750)
Determine m, given that -3698*m**3 + 40058972*m**2 + 55901640*m + 19501200 = 0.
-30/43, 10834
Factor -125*m**2/3 - 653372*m/3 + 5227.
-(m + 5227)*(125*m - 3)/3
Determine y so that -2*y**5/7 - 609494*y**4/7 + 38404018*y**3/7 - 622420346*y**2/7 + 510255784*y/7 + 1171689640/7 = 0.
-304810, -1, 2, 31
Determine o so that -8*o**4/5 + 30051*o**3/5 - 32227*o**2 - 592578*o/5 - 60016 = 0.
-2, -5/8, 8, 3751
Factor -r**2/2 - 70021*r/2 + 45378631.
-(r - 1273)*(r + 71294)/2
Factor 54*b**3 - 7972*b**2 + 326134*b - 4070440.
2*(b - 29)**2*(27*b - 2420)
So