3760*o**3 + 11847348*o**2 + 23639688*o.
4*o*(o + 2)*(o + 1719)**2
Let -5*a**5 - 55*a**4 + 525*a**3 + 3375*a**2 = 0. What is a?
-15, -5, 0, 9
Factor w**4/3 - 52*w**3 + 96*w**2 + 3056*w/3 + 1232.
(w - 154)*(w - 6)*(w + 2)**2/3
Let -k**4/5 + k**3 + 126*k**2/5 = 0. Calculate k.
-9, 0, 14
What is b in -2*b**5/5 + 21514*b**4/5 - 300926*b**3/5 + 1310814*b**2/5 - 1804896*b/5 + 773496/5 = 0?
1, 6, 10743
What is t in 2*t**4/7 + 48*t**3/7 - 20*t**2/7 - 1392*t/7 + 414 = 0?
-23, -7, 3
Determine b so that -8*b**5/9 + 154*b**4/9 - 18*b**3 - 36*b**2 = 0.
-1, 0, 9/4, 18
Factor -2*l**2/9 - 2384*l/3 - 14296/9.
-2*(l + 2)*(l + 3574)/9
Solve -o**2/4 - 15401*o/4 + 15403/2 = 0.
-15403, 2
What is l in 5*l**2 + 1815*l + 163180 = 0?
-199, -164
Factor 2*x**3 + 796*x**2 + 9286*x + 8492.
2*(x + 1)*(x + 11)*(x + 386)
Find g, given that -245*g**4 - 935865*g**3 + 1070255*g**2 + 1432965*g + 343890 = 0.
-3821, -3/7, 2
Factor m**5 + 28*m**4 + 208*m**3 + 528*m**2 + 432*m.
m*(m + 2)**2*(m + 6)*(m + 18)
Factor 196*j**3 - 952*j**2 + 1156*j.
4*j*(7*j - 17)**2
Suppose 3*h**2/4 - 1100457*h/2 + 403668536283/4 = 0. What is h?
366819
Factor -5*y**3 - 655*y**2 + 2030*y + 2680.
-5*(y - 4)*(y + 1)*(y + 134)
Solve -24*i**3 - 6988*i**2 - 1164*i = 0 for i.
-291, -1/6, 0
Find p such that -p**4/2 - 1929*p**3/2 - 2890*p**2 - 1926*p = 0.
-1926, -2, -1, 0
Factor -3*w**3 - 8952*w**2 - 8943*w + 17898.
-3*(w - 1)*(w + 2)*(w + 2983)
Suppose -c**2 - 11626*c - 428793 = 0. What is c?
-11589, -37
Find z such that -2*z**2 + 874*z - 10200 = 0.
12, 425
Factor -s**2 + 631636*s.
-s*(s - 631636)
Suppose 3*q**2/4 + 2463*q/4 = 0. What is q?
-821, 0
Let 686*f**2 + 2732*f - 48 = 0. Calculate f.
-4, 6/343
Factor -2*g**3/3 + 110*g**2/3 - 368*g + 1032.
-2*(g - 43)*(g - 6)**2/3
Factor -45*v**3 - 1700*v**2 + 5915*v - 1230.
-5*(v - 3)*(v + 41)*(9*v - 2)
Factor 5*x**3/3 - 28455*x**2 - 113840*x - 341540/3.
5*(x - 17077)*(x + 2)**2/3
Suppose j**4/10 - 1186*j**3/5 + 692511*j**2/5 + 2566382*j + 4855285/2 = 0. Calculate j.
-17, -1, 1195
Let 3*f**5 - 474*f**4 + 2310*f**3 - 2280*f**2 - 2313*f + 2754 = 0. Calculate f.
-1, 1, 2, 3, 153
Suppose 39*o**2/7 - 22551*o/7 - 17370/7 = 0. Calculate o.
-10/13, 579
Let -3*f**3 - 2220*f**2 - 6621*f + 8844 = 0. What is f?
-737, -4, 1
Let h**5/3 - 13*h**4 + h**3 + 5959*h**2/3 + 5824*h - 19404 = 0. Calculate h.
-7, 2, 18, 33
Find u, given that 5*u**5 - 113*u**4 + 164*u**3 + 84*u**2 = 0.
-2/5, 0, 2, 21
Factor 4*y**3/3 + 488*y**2/3 + 10364*y/3 + 9880/3.
4*(y + 1)*(y + 26)*(y + 95)/3
Factor -p**3 + 1348*p**2 + 10832*p + 21696.
-(p - 1356)*(p + 4)**2
Factor k**4/2 - 10*k**3 - 971*k**2/2 + 999*k - 504.
(k - 42)*(k - 1)**2*(k + 24)/2
Find a, given that a**4/3 + 2272*a**3/3 + 3023*a**2 - 2274*a - 13608 = 0.
-2268, -3, 2
Factor d**3/2 - 11*d**2 - 15*d/2 + 900.
(d - 15)**2*(d + 8)/2
Factor 3*w**2/2 + 22287*w/2 - 223470.
3*(w - 20)*(w + 7449)/2
Factor 3*l**2/4 + 4707*l/2 - 122889/4.
3*(l - 13)*(l + 3151)/4
Let -49*j**4 - 47*j**3 + 51*j**2 + 47*j - 2 = 0. Calculate j.
-1, 2/49, 1
Find i such that -i**2/7 - 129644*i/7 - 4201891684/7 = 0.
-64822
Determine t, given that -3*t**4 + 2130*t**3 + 4281*t**2 - 6408*t = 0.
-3, 0, 1, 712
Factor 24*v**3 - 4827*v**2 + 10155*v - 1194.
3*(v - 199)*(v - 2)*(8*v - 1)
Factor -m**2 + 7737*m.
-m*(m - 7737)
Factor -16*o**2/5 - 338*o/5 - 258.
-2*(o + 5)*(8*o + 129)/5
What is i in -2*i**2/11 - 8620*i/11 - 9288050/11 = 0?
-2155
Find x, given that 2*x**2 - 26868*x - 322704 = 0.
-12, 13446
Find f such that 3*f**3 - 24861*f**2 + 51617469*f - 462545667 = 0.
9, 4139
Factor -4*t**2 + 1427264*t - 127317657856.
-4*(t - 178408)**2
Suppose 13886*t**4/3 - 32402*t**3 - 13858*t**2/3 + 32402*t - 28/3 = 0. What is t?
-1, 2/6943, 1, 7
Suppose -2*l**3 + 652*l**2 - 646*l - 1300 = 0. What is l?
-1, 2, 325
Factor 3*t**2 + 976080*t + 79394347200.
3*(t + 162680)**2
Solve -4*z**5 + 5912*z**4 - 2190388*z**3 + 4363056*z**2 - 2178576*z = 0.
0, 1, 738
Find u such that 16*u**4/3 - 4042*u**3/3 + 235330*u**2/3 + 853334*u + 308898 = 0.
-9, -3/8, 131
Find d, given that -2*d**2/5 + 2964288*d/5 - 2964286/5 = 0.
1, 1482143
Factor -12*q**2 - 191*q + 16.
-(q + 16)*(12*q - 1)
Factor -2*b**2 - 19208*b.
-2*b*(b + 9604)
Determine a so that -2*a**3/7 - 120*a**2/7 - 64*a = 0.
-56, -4, 0
Solve 5*q**5 - 55*q**4 - 1215*q**3 + 55*q**2 + 1210*q = 0.
-11, -1, 0, 1, 22
Factor 2*q**3/9 + 1112*q**2/9 + 3322*q/9 + 2212/9.
2*(q + 1)*(q + 2)*(q + 553)/9
Let t**4/5 - 113*t**3 - 3803*t**2 - 10615*t - 34626/5 = 0. What is t?
-29, -2, -1, 597
Find z, given that z**5/4 - 45*z**4/4 + 279*z**3/2 - 1483*z**2/2 + 7185*z/4 - 6525/4 = 0.
3, 5, 29
What is b in -244*b**5 + 1497*b**4 - 3126*b**3 + 2836*b**2 - 1062*b + 99 = 0?
33/244, 1, 3
Factor x**5 - 96*x**4 - 6*x**3 + 568*x**2 + 765*x + 288.
(x - 96)*(x - 3)*(x + 1)**3
Solve t**3 + 303*t**2 - 3444*t + 3140 = 0 for t.
-314, 1, 10
Determine k so that 5*k**2 - 101405*k + 101400 = 0.
1, 20280
Factor 2*d**4/11 + 6282*d**3/11 + 4929798*d**2/11 - 4936082*d/11.
2*d*(d - 1)*(d + 1571)**2/11
Find m such that -5*m**4 + 3290*m**3 + 60675*m**2 + 111460*m + 54080 = 0.
-16, -1, 676
Determine d, given that 2*d**4 - 762*d**3 + 758*d**2 + 762*d - 760 = 0.
-1, 1, 380
Solve -i**2/8 - 25239*i - 1274014242 = 0 for i.
-100956
Find o such that -8450*o**5/3 - 36920*o**4/3 - 4256*o**3 - 384*o**2 = 0.
-4, -12/65, 0
Factor -2*s**3 + 4*s**2 + 30*s.
-2*s*(s - 5)*(s + 3)
Let b**5/6 - 181*b**4/6 - 1495*b**3/2 + 16623*b**2/2 - 26496*b + 27270 = 0. What is b?
-30, 3, 202
What is z in -9600*z**3 + 10365*z**2 - 2994*z + 261 = 0?
1/5, 87/128
Factor x**4 + 20*x**3 - 224*x**2.
x**2*(x - 8)*(x + 28)
Factor 2*w**2/9 - 5092*w/9 - 566.
2*(w - 2547)*(w + 1)/9
Determine l so that -2*l**3 - 429832*l**2/3 - 859658*l/9 - 143276/9 = 0.
-71638, -1/3
What is w in -3*w**2/2 + 8559*w/2 - 12825 = 0?
3, 2850
Solve t**2/6 + 353*t/2 - 36462 = 0 for t.
-1236, 177
Suppose -2*t**4/11 + 1808*t**3/11 + 27474*t**2/11 + 88136*t/11 + 7352 = 0. What is t?
-11, -2, 919
Let 3*n**4/4 - 399*n**3/2 + 54639*n**2/4 - 52269*n + 51483 = 0. What is n?
2, 131
Find l such that -2*l**3/9 - 4*l**2/3 - 2*l - 8/9 = 0.
-4, -1
Solve -3*k**5/2 + 159*k**4/4 + 249*k**3/4 + 21*k**2 = 0 for k.
-1, -1/2, 0, 28
Suppose -15*t**5 - 3515*t**4 - 24885*t**3 + 19335*t**2 + 9080*t = 0. What is t?
-227, -8, -1/3, 0, 1
Factor v**5 - 147*v**4 + 5737*v**3 - 23217*v**2 - 70574*v.
v*(v - 71)**2*(v - 7)*(v + 2)
Find g such that g**5/3 + 207*g**4 - 4381*g**3/3 + 9407*g**2/3 - 2720*g + 2512/3 = 0.
-628, 1, 4
Factor 2*p**2/15 + 2126*p/15 - 8536/15.
2*(p - 4)*(p + 1067)/15
Factor -3*m**4/4 + 945*m**3/4 - 936*m**2 + 933*m.
-3*m*(m - 311)*(m - 2)**2/4
Determine x so that 204*x**5 - 1324*x**4 - 9080*x**3 - 11080*x**2 - 3924*x - 396 = 0.
-3, -1, -1/3, -3/17, 11
Factor 5*t**5 - 100*t**4 - 1500*t**3.
5*t**3*(t - 30)*(t + 10)
Factor 52*o**3 + 16736*o**2 + 1345316*o - 207368.
4*(o + 161)**2*(13*o - 2)
Factor -c**5/7 - 36*c**4/7 + 240*c**3/7 - 494*c**2/7 + 417*c/7 - 18.
-(c - 3)*(c - 1)**3*(c + 42)/7
Factor i**4 - 4073*i**3 - i**2 + 4073*i.
i*(i - 4073)*(i - 1)*(i + 1)
Determine f so that f**3 + 968*f**2 - 5835*f + 8766 = 0.
-974, 3
Solve -4*v**3/3 + 192*v**2 - 17636*v/3 - 19400 = 0.
-3, 50, 97
Factor -5*c**3 + 6300*c**2 + 82745*c.
-5*c*(c - 1273)*(c + 13)
Solve -3*p**3 - 1821*p**2 - 234918*p = 0.
-421, -186, 0
Suppose 2862*b**5 - 29213*b**4/5 + 15498*b**3/5 - 597*b**2/5 + 2*b/5 = 0. What is b?
0, 1/270, 2/53, 1
Let 3*a**5/4 + 75078*a**4 + 300309*a**3/4 = 0. Calculate a.
-100103, -1, 0
Find m such that -4*m**4 + 419*m**3 + 961*m**2 + 214*m = 0.
-2, -1/4, 0, 107
Determine r so that r**3 - 1085*r**2 + 3248*r - 2164 = 0.
1, 2, 1082
Find w such that -w**3/7 + 2452*w**2/7 + 24659*w/7 - 96018/7 = 0.
-13, 3, 2462
Solve 24*z**4 - 932*z**3 - 4172*z**2 - 5452*z - 2236 = 0.
-13/6, -1, 43
Let 4*t**5 - 564*t**4 + 23036*t**3 - 212428*t**2 - 23040*t + 212992 = 0. What is t?
-1, 1, 13, 64
Factor 4*x**2 - 436*x - 67080.
4*(x - 195)*(x + 86)
Suppose 9*i**2 - 24141*i - 16098 = 0. Calculate i.
-2/3, 2683
Let -25*i**2 - 810*i + 1360 = 0. Calculate i.
-34, 8/5
Find v such that 2*v**2 + 2018*v - 6072 = 0.
-1012, 3
Factor v**3/2 + 107*v**2/2 + 611*v.
v*(v + 13)*(v + 94)/2
Suppose -3*n**2 - 396*n + 45732 = 0. What is n?
-206, 74
What is r in r**2/8 - 416877*r/2 + 173786433129/2 = 0?
833754
Suppose -3*b**4/7 - 18*b**3/7 + 597*b**2/7