21156*p**2 + 55607010*p - 1801153600 = 0. Calculate p.
-5305, 32
Factor -3*s**2/7 + 90222*s/7 - 270639/7.
-3*(s - 30071)*(s - 3)/7
Determine v so that 2*v**5/5 - 26*v**4 + 2276*v**3/5 - 932*v**2 - 16678*v/5 - 1922 = 0.
-1, 5, 31
Let 68*x**3 + 5896*x**2 + 9908*x + 4080 = 0. What is x?
-85, -1, -12/17
Find u such that 98*u**2/5 - 11562*u/5 - 236/5 = 0.
-1/49, 118
Factor -3*v**3/2 + 96837*v**2/2 - 781498797*v/2 + 781401963/2.
-3*(v - 16139)**2*(v - 1)/2
Factor -2*t**2 - 1152*t - 165888.
-2*(t + 288)**2
Solve 5*t**2 + 7505*t = 0.
-1501, 0
Factor -3*j**2 - 9717*j.
-3*j*(j + 3239)
Let 2*p**4/7 + 332*p**3/7 + 654*p**2/7 - 332*p/7 - 656/7 = 0. What is p?
-164, -2, -1, 1
Let -4*p**2 - 162432*p + 812260 = 0. Calculate p.
-40613, 5
Factor 3*g**4 + 294*g**3 + 7095*g**2 - 10584*g - 259308.
3*(g - 6)*(g + 6)*(g + 49)**2
Determine m, given that -4*m**4 + 32524*m**3 - 66096896*m**2 - 66129424*m = 0.
-1, 0, 4066
Determine b so that -4*b**4 - 1772*b**3 - 7040*b**2 - 7024*b = 0.
-439, -2, 0
What is f in 3*f**2/7 - 129690*f/7 - 129693/7 = 0?
-1, 43231
Factor 3*r**3 - 240*r**2 - 24225*r + 1950750.
3*(r - 85)**2*(r + 90)
Factor -4*w**3/9 - 1844*w**2/9 + 7424*w/9 - 2480/3.
-4*(w - 2)**2*(w + 465)/9
Determine j, given that -5*j**4 + 1185*j**3 - 65085*j**2 + 235975*j + 302250 = 0.
-1, 5, 78, 155
Let 2*v**3/9 - 26*v**2/9 + 32*v/9 + 128/3 = 0. What is v?
-3, 8
Let 8*y**5 + 148*y**4 - 636*y**3 - 364*y**2 + 1732*y + 1320 = 0. What is y?
-22, -1, 5/2, 3
Let 662*r**2/5 - 2584*r/5 + 504 = 0. What is r?
630/331, 2
Find t, given that -5*t**5 - 120*t**4 - 920*t**3 - 2400*t**2 - 2000*t = 0.
-10, -2, 0
Let 2*w**5 + 986*w**4 + 8712*w**3 = 0. What is w?
-484, -9, 0
Factor -t**3/3 + 56*t**2/3 + 431*t/3 + 210.
-(t - 63)*(t + 2)*(t + 5)/3
Factor -2*q**5/9 - 39988*q**4/9 - 29614816*q**3 - 592414672640*q**2/9 - 1183763531776*q/9.
-2*q*(q + 2)*(q + 6664)**3/9
Let 4*y**5/5 - 1362*y**4/5 - 3436*y**3/5 + 2042*y**2/5 + 5496*y/5 - 2744/5 = 0. What is y?
-2, 1/2, 1, 343
Suppose -4*v**2 - 480*v - 476 = 0. What is v?
-119, -1
Factor -3*u**3 + 3522*u**2 - 1037220*u + 2060376.
-3*(u - 586)**2*(u - 2)
Factor 5*r**2 - 249645*r - 499310.
5*(r - 49931)*(r + 2)
Determine k so that -45*k**3 - 3415*k**2 + 3850*k = 0.
-77, 0, 10/9
Factor -5*b**4 + 160*b**3 + 1960*b**2 + 5760*b + 5040.
-5*(b - 42)*(b + 2)**2*(b + 6)
Determine v so that -v**4 - 2134*v**3 + 32160*v**2 - 161050*v + 268625 = 0.
-2149, 5
Suppose 2*t**2/15 + 393044*t/5 + 57931344726/5 = 0. What is t?
-294783
Find a, given that -4*a**4 - 160*a**3 + 93660*a**2 + 282040*a + 188224 = 0.
-173, -2, -1, 136
Factor 2*k**3/11 + 4646*k**2/11 - 27776*k.
2*k*(k - 64)*(k + 2387)/11
Let -i**4/5 - 83*i**3/5 - 2202*i**2/5 - 19108*i/5 - 30056/5 = 0. What is i?
-34, -13, -2
Determine d, given that 3*d**4/5 + 55551*d**3/5 + 222171*d**2/5 + 277701*d/5 + 111078/5 = 0.
-18513, -2, -1
Find l, given that l**3 - 25409*l**2/4 + 178660*l - 44268 = 0.
1/4, 28, 6324
Factor 4*n**3 - 928*n**2 - 17004*n + 17928.
4*(n - 249)*(n - 1)*(n + 18)
Factor -6*b**2/5 - 371*b/5 + 1185.
-(b + 75)*(6*b - 79)/5
Factor 10*m**3 - 88616*m**2 + 53162*m + 35444.
2*(m - 8861)*(m - 1)*(5*m + 2)
Suppose -3*b**2 + 29229*b + 29232 = 0. What is b?
-1, 9744
Factor 3*m**4 + 11010*m**3 + 9477975*m**2 - 1144489500*m + 32416807500.
3*(m - 55)**2*(m + 1890)**2
Let 4*n**2 + 4428*n + 65520 = 0. What is n?
-1092, -15
Solve -1162*d**4/11 + 2336*d**3/11 + 3462*d**2/11 - 36*d/11 = 0 for d.
-1, 0, 6/581, 3
Factor 10952*b**4 - 272912*b**3 - 22182*b**2 - 450*b.
2*b*(b - 25)*(74*b + 3)**2
Factor -u**3/5 - 8*u**2/5 + 12*u + 144/5.
-(u - 6)*(u + 2)*(u + 12)/5
What is a in a**2/3 - 72278*a/3 + 1306027321/3 = 0?
36139
Factor 4*h**3 - 57720*h**2 - 808812*h - 751088.
4*(h - 14444)*(h + 1)*(h + 13)
Factor -2*p**3/5 - 83496*p**2/5 - 871447752*p/5.
-2*p*(p + 20874)**2/5
Factor -2*l**2/19 + 1962*l/19 - 84240/19.
-2*(l - 936)*(l - 45)/19
Let -4*m**2 + 332832*m - 6923571264 = 0. What is m?
41604
Suppose -2*u**3 - 264*u**2 - 9216*u - 32768 = 0. What is u?
-64, -4
Find v such that 5*v**3 + 4575*v**2 - 27585*v + 41445 = 0.
-921, 3
Factor -3*y**3/4 - 579*y**2/2 + 110085*y/4 - 590031.
-3*(y - 41)**2*(y + 468)/4
Factor -a**3/8 + 172*a**2 + 3459*a/2 + 4158.
-(a - 1386)*(a + 4)*(a + 6)/8
Suppose m**2 - 799*m + 14058 = 0. Calculate m.
18, 781
Find k, given that -k**3/4 - 3745*k**2/4 + 7502*k - 15012 = 0.
-3753, 4
Find n such that -n**5 + 3528*n**4 - 3118736*n**3 + 12404464*n**2 + 12474960*n - 49674304 = 0.
-2, 2, 4, 1762
Determine x, given that 2*x**2 + 5500*x + 3781250 = 0.
-1375
Factor 4*k**2 - 7968*k + 23868.
4*(k - 1989)*(k - 3)
Factor 2*p**3/3 + 1154*p**2/3 + 208886*p/3 + 3769986.
2*(p + 99)*(p + 239)**2/3
Factor 14*z**3 - 328*z**2 + 726*z - 252.
2*(z - 21)*(z - 2)*(7*z - 3)
Factor 5*k**3 - 894965*k**2 + 40049459975*k - 120140325375.
5*(k - 89495)**2*(k - 3)
Determine w so that -4394*w**4/7 + 113906*w**3/7 + 126620*w**2/7 + 30808*w/7 + 2160/7 = 0.
-10/13, -2/13, 27
Suppose 122*q**2/13 - 1112*q/13 + 192 = 0. What is q?
4, 312/61
Solve -l**3 - 756*l**2 - 143637*l - 284258 = 0 for l.
-377, -2
What is l in 3*l**4 + 6402*l**3 + 19179*l**2 - 12*l - 25572 = 0?
-2131, -2, 1
Solve -4*a**3 - 5560*a**2 + 135168*a - 814464 = 0.
-1414, 12
Solve 4*n**2 - 4564*n + 522192 = 0.
129, 1012
Determine c so that 18*c**5/5 - 218*c**4/5 - 1206*c**3/5 + 5114*c**2 - 22500*c + 30800 = 0.
-11, 28/9, 5, 10
Factor d**3 + 134*d**2 - 549*d + 414.
(d - 3)*(d - 1)*(d + 138)
Factor -2*i**2/3 + 338*i + 89936/3.
-2*(i - 584)*(i + 77)/3
Factor -2*j**2/5 + 221018*j/5 + 442044/5.
-2*(j - 110511)*(j + 2)/5
Factor -10*o**4 + 12*o**3 + 10*o**2 - 12*o.
-2*o*(o - 1)*(o + 1)*(5*o - 6)
Factor 18*f**2 + 14766*f + 6056521/2.
(6*f + 2461)**2/2
Factor 2*k**5 + 27370*k**4 + 93680654*k**3 + 280795686*k**2.
2*k**2*(k + 3)*(k + 6841)**2
Suppose -14*a**4 - 2932*a**3 - 122550*a**2 + 3404952*a + 1481544 = 0. What is a?
-114, -3/7, 19
Suppose 3*l**5 + 84*l**4 + 153*l**3 - 84*l**2 - 156*l = 0. Calculate l.
-26, -2, -1, 0, 1
Factor -2*l**3/3 + 1030*l**2/3 - 42978*l - 317898.
-2*(l - 261)**2*(l + 7)/3
Determine t so that 2*t**3 + 308*t**2 - 310*t = 0.
-155, 0, 1
Let -7*v**4/11 - 202*v**3/11 + 597*v**2/11 + 3932*v/11 - 4960/11 = 0. Calculate v.
-31, -4, 8/7, 5
Find n, given that 55021099005*n**3 + 275107593045*n**2 + 10490120*n + 100 = 0.
-5, -2/104901
Factor 4*g**3 - 557948*g**2 + 19456344192*g + 19456902144.
4*(g - 69744)**2*(g + 1)
Factor 4*n**4 - 4580*n**3 - 4584*n**2.
4*n**2*(n - 1146)*(n + 1)
Solve -4*m**3 + 372*m**2 - 11420*m + 115500 = 0.
25, 33, 35
Let 2*l**4/7 - 15684*l**3/7 + 30685682*l**2/7 + 246238800*l/7 + 492980000/7 = 0. Calculate l.
-4, 3925
Find x such that 2*x**2/5 + 26876*x/5 + 90289922/5 = 0.
-6719
What is u in -u**5/3 - 40*u**4 + 272*u**3 + 7696*u**2/3 + 5744*u + 4032 = 0?
-126, -2, 12
Factor 3*o**5 - 292683*o**4 + 7138172505*o**3 + 21416273643*o**2 + 21416859024*o + 7139050572.
3*(o - 48782)**2*(o + 1)**3
Factor -5*v**2/2 + 5785*v/2 + 46920.
-5*(v - 1173)*(v + 16)/2
What is y in y**3/3 - 269*y**2/3 + 3619*y/3 - 4165 = 0?
7, 255
Solve -3*t**5 + 105*t**4 + 3531*t**3 - 105*t**2 - 3528*t = 0.
-21, -1, 0, 1, 56
Solve p**4/3 - 6873*p**3 - 34384*p**2 + 660004*p/3 - 247488 = 0.
-9, 2, 20624
Solve 8*i**5 + 284*i**4 - 440*i**3 + 148*i**2 = 0.
-37, 0, 1/2, 1
What is r in 3*r**2/7 + 1398*r/7 - 59085/7 = 0?
-505, 39
Find a, given that -4*a**3 + 6428*a**2 - 2598444*a + 12832020 = 0.
5, 801
Factor -2*k**3/15 - 128*k**2/15 + 1274*k/15 - 584/3.
-2*(k - 5)*(k - 4)*(k + 73)/15
Let m**2/5 + 47*m + 2464/5 = 0. Calculate m.
-224, -11
Factor -o**2 + 9966*o + 139720.
-(o - 9980)*(o + 14)
What is o in -24*o**4 + 2452*o**3 + 10008*o**2 - 27276*o + 14840 = 0?
-35/6, 1, 106
Determine x so that 3*x**3 + 126*x**2 - 567*x - 690 = 0.
-46, -1, 5
Factor -2*m**2 - 3836*m - 49530.
-2*(m + 13)*(m + 1905)
Let -14*m**2/17 + 1290*m/17 + 15656/17 = 0. What is m?
-76/7, 103
Solve -o**5/4 + 635*o**4/4 - 6137*o**3/2 - 8049*o**2/2 + 66483*o/4 - 38745/4 = 0.
-3, 1, 21, 615
Let -4*h**5 - 106596*h**4 - 213172*h**3 + 106596*h**2 + 213176*h = 0. Calculate h.
-26647, -2, -1, 0, 1
Factor v**3/3 + 98*v**2 - 1495*v/3.
v*(v - 5)*(v + 299)/3
Let 3*x**5 - 78*x**4 + 363*x**3 + 12*x**2 - 1500*x + 1200 = 0. What is x?
-2, 1, 2, 5, 20
Let -3*r**2/4 + 417*r/4 + 9135/2 = 0. What is r?
-35, 174
Factor -4*y**2 - 212*y + 39216.
-4*