2.
o*(o - 3)*(o - 1)*(9*o - 65)/2
Factor -2*u**3/3 + 32*u**2 + 29016*u.
-2*u*(u - 234)*(u + 186)/3
Suppose -2*a**5/5 - 104*a**4/5 - 1576*a**3/5 - 6124*a**2/5 - 7926*a/5 - 3276/5 = 0. What is a?
-26, -21, -3, -1
Factor 2*v**3/9 + 36*v**2 - 3968*v/3 + 99328/9.
2*(v - 16)**2*(v + 194)/9
Find f such that 30*f**2 + 11675*f + 390905 = 0.
-2113/6, -37
Factor -4*r**3 + 6752*r**2 + 27120*r - 81216.
-4*(r - 1692)*(r - 2)*(r + 6)
Suppose -3*y**4 - 10602*y**3 - 12489156*y**2 - 4904075256*y = 0. What is y?
-1178, 0
Find b, given that 3*b**5 - 143*b**4 + 1672*b**3 - 2492*b**2 + 960*b = 0.
0, 2/3, 1, 16, 30
Factor -3*v**3 - 1794*v**2 - 7113*v + 8910.
-3*(v - 1)*(v + 5)*(v + 594)
Suppose 2*y**4 - 298*y**3 - 2514*y**2 + 298*y + 2512 = 0. Calculate y.
-8, -1, 1, 157
Factor 11715*s**2 + 24*s.
3*s*(3905*s + 8)
Let -s**5/2 - 26399*s**4 - 211179*s**3/2 - 79191*s**2 = 0. What is s?
-52794, -3, -1, 0
Suppose -a**2/4 + 422387*a/2 - 178410777769/4 = 0. What is a?
422387
Factor -2*q**4/7 + 256*q**3/7 + 38016*q**2/7.
-2*q**2*(q - 216)*(q + 88)/7
Factor -3*l**2/4 + 591*l/4 + 45747/2.
-3*(l - 299)*(l + 102)/4
Factor v**2 + 477818*v + 57077510281.
(v + 238909)**2
Find r, given that 24*r**3/5 + 11428*r**2/5 + 1904*r/5 = 0.
-476, -1/6, 0
Factor -2*p**3 - 124*p**2 + 288*p + 17856.
-2*(p - 12)*(p + 12)*(p + 62)
Factor -2*k**2/5 + 63672*k/5 - 506765448/5.
-2*(k - 15918)**2/5
Suppose 3*r**2 + 45273*r - 498366 = 0. Calculate r.
-15102, 11
Factor 2*m**3/15 + 28*m**2/3 + 2434*m/15 + 2296/15.
2*(m + 1)*(m + 28)*(m + 41)/15
Factor -2*d**4/9 + 299096*d**3/9 - 598174*d**2/3 + 299084*d.
-2*d*(d - 149542)*(d - 3)**2/9
Suppose 210*u**5 + 1585*u**4 - 820*u**3 - 460*u**2 + 160*u = 0. Calculate u.
-8, -1/2, 0, 2/7, 2/3
Factor 2*w**4 + 6350*w**3 + 19038*w**2 + 19034*w + 6344.
2*(w + 1)**3*(w + 3172)
Solve -o**4 + 1100*o**3 - 302499*o**2 - 1100*o + 302500 = 0.
-1, 1, 550
Suppose 5*c**5 + 60*c**4 - 165*c**3 - 320*c**2 + 420*c = 0. What is c?
-14, -2, 0, 1, 3
Factor 2*h**3 - 33636*h**2 - 134568*h - 134576.
2*(h - 16822)*(h + 2)**2
What is z in 169*z**4/8 + 20137*z**3/2 + 6190*z**2 + 952*z = 0?
-476, -4/13, 0
Solve 5*t**3/3 - 331*t**2 + 18292*t/3 + 2492 = 0 for t.
-2/5, 21, 178
Determine t so that -4948*t**2 - 4952*t - 4 = 0.
-1, -1/1237
Suppose 5*m**4 - 40*m**3 - 2770*m**2 + 11400*m + 406125 = 0. Calculate m.
-15, 19
Factor -i**3/2 - 27*i**2 + 615*i/2 - 800.
-(i - 5)**2*(i + 64)/2
Find v, given that -3*v**2 + 29820*v + 59652 = 0.
-2, 9942
Find y such that -2*y**2/3 - 614*y/3 - 4004 = 0.
-286, -21
Let 4*n**3/7 + 6*n**2 + 72*n/7 - 216/7 = 0. Calculate n.
-6, 3/2
Find f, given that f**4 - 86*f**3 + 169*f**2 - 84*f = 0.
0, 1, 84
Suppose -4*t**5 + 348*t**4 - 296*t**3 - 4240*t**2 + 9696*t - 5504 = 0. What is t?
-4, 1, 2, 86
Let -15*p**5 + 1105*p**4 - 4835*p**3 + 215*p**2 + 8930*p + 2760 = 0. Calculate p.
-1, -1/3, 2, 4, 69
Suppose 3*m**3 - 1113*m**2 - 5622*m - 6768 = 0. What is m?
-3, -2, 376
Factor -s**3/4 - 799*s**2/4 - 159999*s/4 - 159201/4.
-(s + 1)*(s + 399)**2/4
Solve 2*x**5 - 106*x**4 + 1404*x**3 - 1196*x**2 - 1406*x + 1302 = 0.
-1, 1, 21, 31
Factor -2*k**4/19 + 6554*k**3/19 - 5450352*k**2/19 + 132193800*k/19.
-2*k*(k - 1626)**2*(k - 25)/19
Factor d**4/7 - 44*d**3/7 - 997*d**2/7 - 2740*d/7 + 18300/7.
(d - 61)*(d - 3)*(d + 10)**2/7
Factor -10*z**3 + 2554*z**2 - 3560*z + 1016.
-2*(z - 254)*(z - 1)*(5*z - 2)
Factor 3*v**2/8 - 111*v/2 + 4095/2.
3*(v - 78)*(v - 70)/8
What is f in -f**2 - 67679*f - 67678 = 0?
-67678, -1
Let d**2/3 - 13319*d/3 - 4440 = 0. What is d?
-1, 13320
Suppose i**5 - 48*i**4 + 223*i**3 - 348*i**2 + 172*i = 0. Calculate i.
0, 1, 2, 43
Factor 2*h**4/13 - 188*h**3/13 - 1488*h**2.
2*h**2*(h - 156)*(h + 62)/13
Factor 2*z**3/3 + 934*z**2 + 321936*z - 10965592/3.
2*(z - 11)*(z + 706)**2/3
Suppose -v**2/9 - 527*v/9 - 524/3 = 0. What is v?
-524, -3
Suppose -6*n**5/7 - 264*n**4/7 - 3132*n**3/7 - 648*n**2 + 1134*n = 0. Calculate n.
-21, -3, 0, 1
Factor -2*p**2/17 + 1600*p/17 + 14850.
-2*(p - 935)*(p + 135)/17
Find v, given that 4*v**2 - 192*v + 1280 = 0.
8, 40
Suppose o**2/10 - 6587*o/10 + 1317 = 0. What is o?
2, 6585
Factor 4*f**2 - 14371*f - 3593.
(f - 3593)*(4*f + 1)
What is o in -o**2/2 - 58*o - 2139/2 = 0?
-93, -23
Solve -3*b**2 - 36*b + 39 = 0 for b.
-13, 1
Factor 2*l**3/9 + 26*l**2 + 76*l/3 - 464/9.
2*(l - 1)*(l + 2)*(l + 116)/9
Factor -2*l**2 + 172*l - 2016.
-2*(l - 72)*(l - 14)
Determine t so that -162*t**4/17 - 11952*t**3/17 + 344806*t**2/17 - 76180*t/17 + 4224/17 = 0.
-96, 1/9, 22
Factor l**5 + 610*l**4 - 4926*l**3 + 11108*l**2 - 9883*l + 3090.
(l - 5)*(l - 1)**3*(l + 618)
Find v such that -2*v**3/15 + 854*v**2/15 - 55888*v/15 - 56744/15 = 0.
-1, 82, 346
Factor -p**2 - 135*p - 774.
-(p + 6)*(p + 129)
Determine y, given that 3*y**4 - 573*y**3 + 33117*y**2 - 516675*y = 0.
0, 25, 83
Solve 2*j**5/7 + 36*j**4 - 9746*j**3/7 + 60204*j**2/7 + 377352*j/7 + 307152/7 = 0.
-158, -3, -1, 18
Factor -2*w**2/19 + 745116*w/19 - 69399731682/19.
-2*(w - 186279)**2/19
Suppose -4*y**2 + 19912*y + 179532 = 0. What is y?
-9, 4987
What is w in -2*w**5 + 390*w**4 - 25296*w**3 + 627896*w**2 - 6399744*w + 21805056 = 0?
7, 16, 78
Factor t**4 + 88999*t**3 + 1980071991*t**2 - 5941373011*t - 7921356004.
(t - 4)*(t + 1)*(t + 44501)**2
Determine p so that -2*p**3/15 - 398*p**2 - 287850*p + 13771350 = 0.
-1515, 45
Factor 2*z**3 - 758*z**2 + 12188*z + 43440.
2*(z - 362)*(z - 20)*(z + 3)
Solve -4*f**2/9 - 4472*f/3 - 147424 = 0.
-3252, -102
Factor 2*d**3/3 - 1604*d**2/3 - 70488*d + 90796464.
2*(d - 594)**2*(d + 386)/3
Factor -45920*p**2 - 4546084*p - 396.
-4*(p + 99)*(11480*p + 1)
Factor -9*w**3 + 2211*w**2 + 12240*w - 48192.
-3*(w - 251)*(w + 8)*(3*w - 8)
Find p, given that 8*p**4 - 12226*p**3 + 51856*p**2 - 60968*p + 12192 = 0.
1/4, 2, 1524
Factor 76*n**3 - 7456*n**2 + 170416*n - 17856.
4*(n - 62)*(n - 36)*(19*n - 2)
Determine u so that -14191875*u**3 - 14165775*u**2 + 26088*u - 12 = 0.
-1, 2/2175
Solve -3*h**2/2 - 4995*h + 274104 = 0.
-3384, 54
Determine b, given that b**2/3 + 180532*b/3 - 120356 = 0.
-180534, 2
Suppose -2*w**5/5 - 486*w**4 + 39308*w**3/5 - 103324*w**2/5 + 98454*w/5 - 32006/5 = 0. Calculate w.
-1231, 1, 13
Factor 28*u**3 + 1692*u**2 - 28*u - 1692.
4*(u - 1)*(u + 1)*(7*u + 423)
Determine j so that 2*j**2/19 - 358232*j/19 + 16041270728/19 = 0.
89558
What is r in 2*r**2/17 - 274*r/17 - 24676/17 = 0?
-62, 199
Factor 2*c**2/11 - 1212*c/11 + 107568/11.
2*(c - 498)*(c - 108)/11
Factor 4*r**4 + 116128*r**3 + 842624736*r**2 - 3371892608*r + 3372357184.
4*(r - 2)**2*(r + 14518)**2
Factor 2*b**3/11 - 1808*b**2/11 + 7190*b/11 + 9000/11.
2*(b - 900)*(b - 5)*(b + 1)/11
Find x, given that -x**4/8 - 79*x**3/2 - 6661*x**2/8 + 11427*x/4 = 0.
-293, -26, 0, 3
Factor 2*r**3 - 592*r**2 - 2394*r - 1800.
2*(r - 300)*(r + 1)*(r + 3)
Find h, given that -h**5/2 + 265*h**4 - 28098*h**3 - 4823713*h**2 + 1541449813*h/2 = 0.
-139, 0, 223
Factor -4*t**2 + 552*t - 6048.
-4*(t - 126)*(t - 12)
Suppose j**4/2 + 118*j**3 + 12317*j**2/2 - 12673*j + 6396 = 0. What is j?
-156, -82, 1
Determine g so that -5*g**4 - 745*g**3 - 31275*g**2 - 335195*g - 1057420 = 0.
-83, -52, -7
Factor -3*c**3/2 + 63*c**2 + 309*c/2 - 990.
-3*(c - 44)*(c - 3)*(c + 5)/2
Determine p so that -2*p**5 + 178*p**4 + 186*p**3 - 538*p**2 - 184*p + 360 = 0.
-2, -1, 1, 90
Factor p**2/5 - 35176*p/5 + 309337744/5.
(p - 17588)**2/5
Determine u, given that 4*u**5/5 + 38*u**4 - 494*u**3/5 + 302*u**2/5 + 98*u/5 - 20 = 0.
-50, -1/2, 1
Factor -857304*h**3 - 1630692*h**2 + 331557*h/2 - 4107.
-3*(h + 2)*(756*h - 37)**2/2
Find n such that 4*n**2 - 4699488*n + 1380324216384 = 0.
587436
Suppose -25*v**2 + 123865*v + 49550 = 0. What is v?
-2/5, 4955
Factor j**2/4 + 1121*j/4 + 7749/2.
(j + 14)*(j + 1107)/4
Factor j**4/2 + 153*j**3 + 303*j**2/2 - 305*j.
j*(j - 1)*(j + 2)*(j + 305)/2
Factor -5*r**2 + 19147*r/2 + 5745/2.
-(r - 1915)*(10*r + 3)/2
Suppose -2*v**3 - 50816*v**2/5 + 631608*v/5 - 244512/5 = 0. What is v?
-5094, 2/5, 12
Factor 2*b**2/7 - 1016*b/7 - 4096/7.
2*(b - 512)*(b + 4)/7
Solve -2*t**4/7 - 20*t**3/7 - 34*t**2/7 + 80*t/7 + 24 = 0 for t.
-7, -3, -2, 2
Solve -3*l**3 + 576*l**2 + 78057*l + 2088870 = 0 for l.
-49, 290
Factor 3*r**2/4 - 4858*r + 6477/4.
(r - 6477)*(3*r - 1)/4
Factor -2*r**3/17 - 3956*r**2/17 + 168798*r/17 - 1781640/17.
-2*(r - 21)**2*(r + 2020)/17
Find g,