 - 324)*(j - 46)**2/7
Suppose -4*p**5/7 + 228*p**4/7 - 2756*p**3/7 - 25876*p**2/7 + 357048*p/7 - 592064/7 = 0. Calculate p.
-11, 2, 8, 29
What is h in h**3/3 + 7*h**2/3 - 41*h/3 + 11 = 0?
-11, 1, 3
Factor -2*g**2/9 - 69256*g/9 + 23086/3.
-2*(g - 1)*(g + 34629)/9
Suppose 5*q**2 - 1700*q - 78105 = 0. Calculate q.
-41, 381
Factor -2*c**2/5 - 564*c + 63008/5.
-2*(c - 22)*(c + 1432)/5
Find w such that 118*w**4/15 - 284*w**3/3 + 694*w**2/3 + 968*w/3 - 56/5 = 0.
-1, 2/59, 6, 7
Suppose -5*m**4 - 4960*m**3 - 78340*m**2 - 254000*m - 234240 = 0. What is m?
-976, -12, -2
Factor 107*j**2/2 + 379*j/6 - 27.
(3*j - 1)*(107*j + 162)/6
Factor -2*y**2 - 13276*y + 212928.
-2*(y - 16)*(y + 6654)
Determine t, given that -4*t**2 + 637544*t - 25403896996 = 0.
79693
Suppose -2*f**4/5 + 51844*f**3/5 + 51846*f**2/5 = 0. Calculate f.
-1, 0, 25923
Suppose -4*l**3 + 5584*l**2 + 16828*l - 55960 = 0. Calculate l.
-5, 2, 1399
Let 4*d**3/3 + 13424*d**2/3 + 214016*d/3 + 855040/3 = 0. Calculate d.
-3340, -8
Factor -3*g**2 + 64500*g + 129012.
-3*(g - 21502)*(g + 2)
Solve -5*x**2 - 2471730*x + 4943480 = 0.
-494348, 2
Find v, given that -5*v**4/3 + 160*v**3/3 + 590*v**2 + 3040*v/3 + 1435/3 = 0.
-7, -1, 41
Suppose -18*q**5/5 - 4442*q**4/5 + 14496*q**3/5 - 216*q**2 - 4000*q = 0. Calculate q.
-250, -1, 0, 2, 20/9
Factor 5*d**3 - 374250*d**2 - 1122795*d.
5*d*(d - 74853)*(d + 3)
Factor -3*d**3/8 - 6465*d**2/2 + 12933*d/2.
-3*d*(d - 2)*(d + 8622)/8
Let 4*s**4 - 157532*s**3 + 2067817500*s**2 - 9043942791988*s - 36208866331024 = 0. Calculate s.
-4, 13129
Determine b so that -b**2 + 80741*b - 80740 = 0.
1, 80740
Let 2*o**2/3 - 420*o + 3726 = 0. What is o?
9, 621
Find y, given that 2*y**3/3 + 349262*y**2/3 + 15247818448*y/3 - 15248167712/3 = 0.
-87316, 1
Factor -2*m**3 - 582*m**2 + 4802*m + 5382.
-2*(m - 9)*(m + 1)*(m + 299)
Factor 2*l**3/11 - 2276*l**2/11 + 88640*l/11 - 878400/11.
2*(l - 1098)*(l - 20)**2/11
Suppose -2*g**2/5 - 7068*g/5 - 126576/5 = 0. What is g?
-3516, -18
Suppose -3*k**5/4 + 1545*k**4/4 - 191781*k**3/4 - 1854933*k**2/4 + 47946*k + 463347 = 0. Calculate k.
-9, -1, 1, 262
Factor -16*l**3 + 190212*l**2 - 565345728*l + 141324544.
-4*(l - 5944)**2*(4*l - 1)
Find a such that -2*a**2/3 + 79958*a/3 + 79960/3 = 0.
-1, 39980
Factor 2*x**3/9 + 124*x**2/9 - 50*x/9 - 3100/9.
2*(x - 5)*(x + 5)*(x + 62)/9
Factor 4*j**2 - 1524*j + 1520.
4*(j - 380)*(j - 1)
What is v in -2*v**4/5 + 6128*v**3/5 - 4669422*v**2/5 - 37804032*v/5 + 42467328/5 = 0?
-9, 1, 1536
Factor -5*z**3 - 115*z**2 + 5640*z.
-5*z*(z - 24)*(z + 47)
Let -65*s**2 + 5733835*s + 882130 = 0. What is s?
-2/13, 88213
Factor -5*p**2 + 1885*p + 31440.
-5*(p - 393)*(p + 16)
Determine r, given that r**4 - 15*r**3 - 42*r**2 + 136*r = 0.
-4, 0, 2, 17
Factor 2*h**2/5 - 47212*h/5 + 278621618/5.
2*(h - 11803)**2/5
Factor 25*p**3 + 43*p**2 + 11*p - 7.
(p + 1)**2*(25*p - 7)
Find q such that 3675*q**4 - 10990*q**3 + 8375*q**2 - 2280*q + 180 = 0.
2/15, 3/7, 2
Determine f so that 10*f**5 - 264*f**4 - 4552*f**3 - 21508*f**2 - 36930*f - 19700 = 0.
-5, -2, -1, 197/5
Let 1029*u**3 + 3864*u**2 + 156*u = 0. Calculate u.
-26/7, -2/49, 0
Let -5*x**3 + 435*x**2 - 400*x - 2580 = 0. What is x?
-2, 3, 86
Factor -l**2/3 + 50748*l - 1931519628.
-(l - 76122)**2/3
Factor p**2/7 - 171901*p/7 - 171902/7.
(p - 171902)*(p + 1)/7
Factor -198*z**2 - 272836*z + 11024.
-2*(z + 1378)*(99*z - 4)
Determine v, given that -v**2/10 - 3401*v/10 - 11879/5 = 0.
-3394, -7
Factor -3*r**3/5 + 14523*r**2/5 + 43596*r/5.
-3*r*(r - 4844)*(r + 3)/5
Suppose 2*p**4/13 + 3538*p**3/13 + 2040780*p**2/13 + 355880728*p/13 - 16144373392/13 = 0. What is p?
-602, 37
Factor 45*r**2 - 863270*r - 191840.
5*(r - 19184)*(9*r + 2)
What is f in -2*f**5/19 + 78*f**4/19 - 770*f**3/19 + 1794*f**2/19 - 1100*f/19 = 0?
0, 1, 2, 11, 25
Factor -2*a**3 - 164*a**2 + 2910*a.
-2*a*(a - 15)*(a + 97)
Factor 4*f**3 + 114972*f**2 + 826102560*f - 826217536.
4*(f - 1)*(f + 14372)**2
Suppose -4*b**2 - 576*b + 26788 = 0. What is b?
-181, 37
Solve -3*z**3 - 6450*z**2 - 3466875*z = 0 for z.
-1075, 0
Let -m**3/8 - 807*m**2/8 - 2979*m/2 - 3564 = 0. Calculate m.
-792, -12, -3
Solve -h**2 + 4*h + 13685 = 0.
-115, 119
Let -3*g**5 - 212*g**4 - 725*g**3 + 840*g**2 + 2428*g + 1072 = 0. What is g?
-67, -4, -1, -2/3, 2
Factor -f**2/6 - 31363*f - 2950913307/2.
-(f + 94089)**2/6
Find c, given that -c**4 - 37559*c**3 + 37561*c**2 + 37559*c - 37560 = 0.
-37560, -1, 1
Suppose p**5 + 10254*p**4 + 26028576*p**3 - 1320232064*p**2 + 17825095680*p - 30577655808 = 0. What is p?
-5152, 2, 24
Factor -k**2/3 - 26972*k/3 - 181872196/3.
-(k + 13486)**2/3
Solve 5*x**3 - 1630*x**2 - 141155*x - 2738000 = 0.
-37, 400
Suppose -16*a**3 + 14612*a**2 - 61884*a + 65448 = 0. What is a?
2, 9/4, 909
Suppose 3*u**4 - 339*u**3 + 3177*u**2 - 9021*u + 6180 = 0. Calculate u.
1, 4, 5, 103
Factor f**4 - 141*f**3 - 1864*f**2 + 4284*f.
f*(f - 153)*(f - 2)*(f + 14)
Factor n**3/8 + 7033*n**2/2 - 225129*n/8 - 63315/2.
(n - 9)*(n + 1)*(n + 28140)/8
Suppose 5*x**2/2 - 223265*x/2 = 0. What is x?
0, 44653
Solve h**2/4 - 51*h/2 + 1305/4 = 0.
15, 87
Find l, given that -6*l**4/5 + 2131*l**3/5 - 27163*l**2/5 + 49612*l/5 - 7524/5 = 0.
1/6, 2, 11, 342
Let -3*u**5 - 42*u**4 - 144*u**3 + 96*u**2 + 768*u = 0. Calculate u.
-8, -4, 0, 2
Find n such that -n**2/6 - 50243*n/2 = 0.
-150729, 0
Factor b**4 - 206*b**3 - 79571*b**2 + 9288540*b + 2033108100.
(b - 270)**2*(b + 167)**2
What is g in -g**4/2 + 599907*g**3 - 179944804230*g**2 + 359887208836*g = 0?
0, 2, 599906
Factor -a**2/3 - 349972*a/3 - 30620100196/3.
-(a + 174986)**2/3
Let -9*j**4 + 3273*j**3 - 2158*j**2 - 7252*j - 2904 = 0. What is j?
-2/3, 2, 363
Factor -3*g**2 - 1356*g + 6855.
-3*(g - 5)*(g + 457)
Solve -2*y**2 - 448956*y - 25195186242 = 0 for y.
-112239
Factor -3*p**4 - 789*p**3 - 5322*p**2 + 13824*p.
-3*p*(p - 2)*(p + 9)*(p + 256)
Factor 2*p**2/25 - 3306*p/5 + 16528/25.
2*(p - 8264)*(p - 1)/25
Factor o**2 - 19288*o + 19287.
(o - 19287)*(o - 1)
Solve n**2/2 + 4*n - 513/2 = 0 for n.
-27, 19
Let -6631*p**2 - 19895*p/2 - 3/2 = 0. Calculate p.
-3/2, -1/6631
Factor 2*w**2 - 11924*w.
2*w*(w - 5962)
Factor m**2/11 - 9921*m/11 + 9920/11.
(m - 9920)*(m - 1)/11
Factor 5*q**2 - 593450*q + 593445.
5*(q - 118689)*(q - 1)
Factor 73*o**2/5 + 367*o/5 + 444/5.
(o + 3)*(73*o + 148)/5
Suppose -26*z**3 + 721*z**2 - 516*z + 81 = 0. Calculate z.
3/13, 1/2, 27
Let 2*d**2/9 - 4966*d/9 = 0. Calculate d.
0, 2483
Let -o**5/2 - 65*o**4 + 17*o**3/2 + 171455*o**2 + 679142*o - 850540 = 0. What is o?
-86, -5, 1, 46
Solve -2*q**3 - 338*q**2/5 - 2248*q/5 + 5928/5 = 0 for q.
-114/5, -13, 2
Suppose 27*m**3 + 52104*m**2 - 2739417*m + 606186 = 0. Calculate m.
-1981, 2/9, 51
Solve -3*c**5 - 178377*c**4 - 2651261898*c**3 + 7956996642*c**2 + 23861357325*c - 71598521241 = 0 for c.
-29731, -3, 3
Factor -3*d**2/2 - 315*d/2 + 17286.
-3*(d - 67)*(d + 172)/2
Factor -q**4/3 + 325*q**3/3 + 328*q**2/3 - 652*q/3.
-q*(q - 326)*(q - 1)*(q + 2)/3
Find p, given that -5*p**3 + 84275*p**2 + 4731160*p + 66291120 = 0.
-28, 16911
Factor -12*x**2 + 1399*x + 467/2.
-(4*x - 467)*(6*x + 1)/2
What is k in 3*k**5 - 13887*k**4 - 446610*k**3 - 3942126*k**2 - 5035905*k + 9438525 = 0?
-15, -3, 1, 4661
Solve -8*d**2/17 + 1323640*d/17 - 54750714050/17 = 0.
165455/2
Solve -2372*m**3/5 + 20638*m**2/3 - 49928*m/15 + 56/15 = 0 for m.
2/1779, 1/2, 14
Factor 5*n**3 - 2465*n**2 + 76210*n - 142600.
5*(n - 460)*(n - 31)*(n - 2)
Solve 2*o**4 - 386*o**3 - 1574*o**2 - 406*o + 2364 = 0.
-3, -2, 1, 197
Find c such that c**3/4 + 16*c**2 + 245*c + 1100 = 0.
-44, -10
Factor b**4/5 + 24*b**3 - 367*b**2/5 + 246*b/5.
b*(b - 2)*(b - 1)*(b + 123)/5
Find l such that 648*l**2 + 332280*l + 42596450 = 0.
-4615/18
Factor -2*c**3/13 + 488*c**2/13 - 21056*c/13.
-2*c*(c - 188)*(c - 56)/13
Factor 2*h**2 - 1000*h - 47872.
2*(h - 544)*(h + 44)
Suppose -i**4/6 - 499*i**3/3 - 1991*i**2/6 + 499*i/3 + 332 = 0. What is i?
-996, -2, -1, 1
Find h, given that -h**5/3 - 350*h**4/3 - 32602*h**3/3 - 337636*h**2/3 + 437203*h/3 + 742586/3 = 0.
-169, -13, -1, 2
Factor -a**5/4 - 1479*a**4/4 - 544635*a**3/4 + 1647243*a**2/4.
-a**2*(a - 3)*(a + 741)**2/4
Factor -3*s**5 - 16347*s**4 - 32682*s**3.
-3*s**3*(s + 2)*(s + 5447)
What is o in -o**2/7 - 2132*o/7 + 104640/7 = 0?
-2180, 48
Suppose -3*s**2/2 - 57*s/2 + 495 = 0. Calculate s.
-30, 11
Find