398)
Factor -5*r**3 + 3457825*r**2/3 - 199275319205*r/3 - 66425490605/3.
-5*(r - 115261)**2*(3*r + 1)/3
Find x such that x**3/3 - 83*x**2/3 - 86*x = 0.
-3, 0, 86
Factor -3*k**4 + 471*k**3 + 954*k**2.
-3*k**2*(k - 159)*(k + 2)
Factor 3*n**4/2 - 203961*n**3/2 + 2311150077*n**2 - 17459968380390*n + 17457657332292.
3*(n - 22662)**3*(n - 1)/2
Suppose 15*w**4 - 41166*w**3 + 28293339*w**2 - 67699980*w + 22555692 = 0. What is w?
2/5, 2, 1371
Factor 2*j**3 - 614*j**2 + 47124*j.
2*j*(j - 154)*(j - 153)
Factor -4*u**2 + 4712*u + 194880.
-4*(u - 1218)*(u + 40)
Solve 3*k**2/5 - 44307*k + 1550598/5 = 0 for k.
7, 73838
Suppose -4*v**2 - 888*v - 49140 = 0. Calculate v.
-117, -105
Find t such that -4*t**5 + 232*t**4 + 1288*t**3 - 1744*t**2 - 1284*t + 1512 = 0.
-6, -1, 1, 63
Suppose -b**4/2 - 177*b**3/2 - 8087*b**2/2 - 22011*b/2 + 15138 = 0. What is b?
-87, -4, 1
Factor -2*o**3 + 26374*o**2 - 86961670*o + 86935298.
-2*(o - 6593)**2*(o - 1)
Determine q so that 5*q**5/4 + 515*q**4/4 - 1595*q**3/4 - 515*q**2/4 + 795*q/2 = 0.
-106, -1, 0, 1, 3
Determine u so that 3*u**2 - 293670*u + 7186839075 = 0.
48945
Factor 13924*q**2 - 137824*q + 341056.
4*(59*q - 292)**2
What is j in j**2 - 8227*j + 24672 = 0?
3, 8224
Factor 4*m**3 + 600560*m**2 + 22542019600*m.
4*m*(m + 75070)**2
Let -4*c**3 - 62216*c**2 + 124444*c - 62224 = 0. What is c?
-15556, 1
Factor 2*f**3/9 - 10336*f**2/9 + 10294*f/3 + 61980.
2*(f - 5165)*(f - 9)*(f + 6)/9
Factor 5*t**2 + 20955*t + 41890.
5*(t + 2)*(t + 4189)
Solve -2*q**5/9 + 5884*q**4/9 + 5896*q**3 + 17700*q**2 + 17706*q = 0.
-3, 0, 2951
Find k, given that 6*k**2/5 + 272804*k/5 - 181872/5 = 0.
-45468, 2/3
Factor -3*h**2/8 - 141*h/8 - 315/4.
-3*(h + 5)*(h + 42)/8
Let l**3/2 + 3981*l**2 + 7961*l/2 = 0. Calculate l.
-7961, -1, 0
Factor 2*l**4 - 34*l**3 - 1898*l**2 - 14534*l.
2*l*(l - 43)*(l + 13)**2
Factor -5*a**3 - 22795*a**2 - 25785760*a + 444970240.
-5*(a - 17)*(a + 2288)**2
Find t, given that 2*t**3/5 + 26*t**2 + 376*t/5 + 248/5 = 0.
-62, -2, -1
Factor -n**2/7 + 4605*n/7 - 8528.
-(n - 4592)*(n - 13)/7
Let -v**4/3 + 29*v**3/3 + 166*v**2 + 660*v + 504 = 0. Calculate v.
-6, -1, 42
Factor -2*s**3/13 - 8*s**2/13 + 58*s/13 - 48/13.
-2*(s - 3)*(s - 1)*(s + 8)/13
Factor 3*a**4 + 5187*a**3 + 2229057*a**2 - 11275335*a.
3*a*(a - 5)*(a + 867)**2
Factor -3*y**3 + 318*y**2 + 645*y + 324.
-3*(y - 108)*(y + 1)**2
Factor -5*r**3 + 239*r**2 + 544*r + 300.
-(r - 50)*(r + 1)*(5*r + 6)
Find l such that -l**5 + 153*l**4 - 3743*l**3 + 18439*l**2 - 26256*l + 11408 = 0.
1, 4, 23, 124
Solve 132*a**5 - 36424*a**4 + 2511600*a**3 + 152352*a**2 = 0 for a.
-2/33, 0, 138
What is n in -n**3/2 + 76*n**2 - 1088*n = 0?
0, 16, 136
Factor -y**2/3 - 1852*y + 38941/3.
-(y - 7)*(y + 5563)/3
Suppose 2*l**4/7 - 228*l**3/7 + 7736*l**2/7 - 63600*l/7 - 160000/7 = 0. What is l?
-2, 16, 50
Find u such that 1130*u**3 - 98064*u**2/7 + 37720*u/7 + 96/7 = 0.
-2/791, 2/5, 12
Factor 3*a**2 - 225*a + 2700.
3*(a - 60)*(a - 15)
Factor z**4 - 18*z**3 - 2113*z**2 + 4290*z.
z*(z - 55)*(z - 2)*(z + 39)
Let 5*h**2 - 20*h - 14025 = 0. Calculate h.
-51, 55
Factor -3*s**2 - 5031*s + 148422.
-3*(s - 29)*(s + 1706)
Let 2*d**4 - 16*d**3 - 144*d**2 - 320*d - 224 = 0. What is d?
-2, 14
Let -t**2/4 - 6243*t/4 + 1561 = 0. What is t?
-6244, 1
Factor 5*c**3/2 + 1355*c**2/2 - 8285*c/2 + 6925/2.
5*(c - 5)*(c - 1)*(c + 277)/2
Factor -d**3/6 + 11*d**2/6 + 3680*d/3 + 108974/3.
-(d - 103)*(d + 46)**2/6
Find n, given that 5*n**2 + 59430*n + 118840 = 0.
-11884, -2
What is y in -565*y**3 + 6250*y**2 - 385*y = 0?
0, 7/113, 11
Factor i**4/7 + 59*i**3/7 + 375*i**2/7 - 1683*i/7.
i*(i - 3)*(i + 11)*(i + 51)/7
Let 4*q**3/5 - 20*q**2 - 2368*q/5 - 10496/5 = 0. What is q?
-8, 41
What is d in -2*d**4/3 - 166*d**3 - 11840*d**2 - 385000*d/3 + 5808000 = 0?
-110, -45, 16
Determine r so that 33*r**3/8 - 3213*r**2/8 + 77175*r/8 + 50421/8 = 0.
-7/11, 49
Suppose a**2/2 - 13*a + 25/2 = 0. Calculate a.
1, 25
Factor 3*a**3 - 300*a**2 - 7200*a.
3*a*(a - 120)*(a + 20)
Solve 4*o**5 - 2504*o**4 - 57212*o**3 + 121920*o**2 - 62208*o = 0 for o.
-24, 0, 1, 648
Factor 2*z**3/3 + 778*z**2/3 + 772*z/3 - 1552/3.
2*(z - 1)*(z + 2)*(z + 388)/3
Solve -u**3/9 + 620*u**2/9 - 29483*u/9 - 30104/9 = 0 for u.
-1, 53, 568
Factor 2*l**2 + 1854576*l + 429931517472.
2*(l + 463644)**2
Factor 3*x**2 - 2784*x - 2787.
3*(x - 929)*(x + 1)
Determine k so that -k**4 - 2010*k**3 - 1060933*k**2 - 51162540*k - 647906116 = 0.
-979, -26
Solve -m**2 + 159*m + 322 = 0 for m.
-2, 161
Suppose g**3/2 + 99*g**2/2 - 1025*g + 3276 = 0. What is g?
-117, 4, 14
Factor q**3 - 237944*q**2 + 14155288512*q - 113227080192.
(q - 118968)**2*(q - 8)
Suppose -765*d**5 + 12790*d**4 + 84735*d**3 + 90280*d**2 + 19980*d + 880 = 0. What is d?
-4, -1, -2/9, -1/17, 22
Factor 5*s**4 + 285*s**3 + 3010*s**2 + 6600*s.
5*s*(s + 3)*(s + 10)*(s + 44)
Let -45*h**5 + 21385*h**4 - 2636035*h**3 + 22362075*h**2 + 19590640*h - 5428900 = 0. What is h?
-1, 2/9, 10, 233
Let 7*u**3 - 3190*u**2 - 305391*u - 86994 = 0. What is u?
-81, -2/7, 537
Factor 2*a**3 + 844*a**2 - 13082*a + 12236.
2*(a - 14)*(a - 1)*(a + 437)
Factor -4*m**2/7 + 1178640*m/7 + 1178644/7.
-4*(m - 294661)*(m + 1)/7
Factor c**2/3 + 2746*c/3 + 11843.
(c + 13)*(c + 2733)/3
Find l such that 2*l**3/13 - 1812*l**2/13 + 14392*l/13 - 21552/13 = 0.
2, 6, 898
Factor -t**2/9 - 20912*t/9 + 41828/9.
-(t - 2)*(t + 20914)/9
Suppose y**2/4 + 10307*y/2 + 106234249/4 = 0. Calculate y.
-10307
Suppose -2*p**5 - 144*p**4 - 540*p**3 + 296*p**2 + 1614*p - 1224 = 0. What is p?
-68, -3, 1
Factor b**4 - 586*b**3 + 4624*b**2.
b**2*(b - 578)*(b - 8)
Solve -2*t**5/23 + 1312*t**4/23 - 20622*t**3/23 + 90992*t**2/23 - 3104*t - 184320/23 = 0 for t.
-1, 4, 9, 640
Solve -z**2 + 3525906*z - 3108003280209 = 0.
1762953
Factor h**2 - 1143*h + 310356.
(h - 699)*(h - 444)
Factor -2*m**2/7 + 98*m - 15312/7.
-2*(m - 319)*(m - 24)/7
Find q such that -q**4 - 638*q**3 - 102393*q**2 - 200340*q + 303372 = 0.
-318, -3, 1
Solve 14*s**3 + 3350*s**2 - 2404*s - 960 = 0.
-240, -2/7, 1
Suppose -9*f**4 - 1212*f**3 - 3159*f**2 + 1188*f = 0. Calculate f.
-132, -3, 0, 1/3
Factor 4*z**3/3 - 317508*z**2 + 18901648116*z + 56707801956.
4*(z - 119067)**2*(z + 3)/3
Factor 3*i**2 + 3353*i - 1118.
(i + 1118)*(3*i - 1)
Determine h, given that h**5/4 + 105*h**4/4 + 2937*h**3/4 + 33571*h**2/4 + 81861*h/2 + 69966 = 0.
-69, -13, -6, -4
Suppose 3*o**5 - 3012*o**4 - 3045*o**3 + 30174*o**2 - 24120*o = 0. Calculate o.
-4, 0, 1, 2, 1005
Factor h**2/4 - 27081*h/2 - 54163/4.
(h - 54163)*(h + 1)/4
Factor 2*b**3 - 1780*b**2 + 7094*b - 5316.
2*(b - 886)*(b - 3)*(b - 1)
Solve -3*q**4/2 - 870*q**3 - 7725*q**2 - 9390*q + 35973/2 = 0 for q.
-571, -7, -3, 1
Factor 2*b**2/13 - 18*b + 4600/13.
2*(b - 92)*(b - 25)/13
Determine j, given that j**2/5 + 476*j - 16709/5 = 0.
-2387, 7
Factor l**3/3 - 8094*l**2 + 48552*l.
l*(l - 24276)*(l - 6)/3
Determine x so that -5*x**3 + 59*x**2 + 12*x = 0.
-1/5, 0, 12
Let -5*h**4 + 3415335*h**3 - 583227365775*h**2 + 583223950445*h = 0. What is h?
0, 1, 341533
Let -3*s**3/8 + 741*s**2/8 - 5481*s - 59535/2 = 0. Calculate s.
-5, 126
Factor -2*k**2 + 61918*k - 123828.
-2*(k - 30957)*(k - 2)
Find d, given that 16*d**2 + 24611484*d - 6152872 = 0.
-1538218, 1/4
Suppose -2738*i**5/9 + 185740*i**4/9 - 1445608*i**3/9 + 1054244*i**2/9 + 66622*i/3 + 944 = 0. Calculate i.
-3/37, 1, 8, 59
Find r, given that 4*r**3 - 9560*r**2 + 19108*r - 9552 = 0.
1, 2388
Factor -6*z**2/11 + 3516*z - 2640078/11.
-6*(z - 6377)*(z - 69)/11
Factor -5*m**3/4 - 345*m**2/2 - 1345*m/4 + 510.
-5*(m - 1)*(m + 3)*(m + 136)/4
Let 9*h**3/2 - 5097*h**2 - 23853*h/2 + 10215 = 0. What is h?
-3, 2/3, 1135
Factor 2*a**2 - 9768*a - 117504.
2*(a - 4896)*(a + 12)
Solve 4*t**4/5 - 1371*t**3/5 + 51254*t**2/5 + 13929*t/5 - 7740 = 0.
-1, 3/4, 43, 300
Factor -t**3 + 105*t**2 + 556*t - 660.
-(t - 110)*(t - 1)*(t + 6)
Let -3*i**5 - 21*i**4 + 4101*i**3 - 3915*i**2 - 24354*i = 0. What is i?
-41, -2, 0, 3, 33
Factor -3*d**2 + 372*d + 30951.
-3*(d - 181)*(d + 57)
Let 6*s**5 + 2458*s**4 + 2422*s**3 - 12242*s**2 + 7356*s = 0. Calculate s.
-1226/3, -3, 0, 1
Determine l, given that 5*l**3 + 66930*l**2 - 66935*l = 0.
-13387, 0, 1
Factor 2*t**5/13 - 288*t**4/13 - 1176*t**3/13 - 1184*t**2/13.
2*t**2*(t - 148)*(t + 2)**2/13
Factor -98*p**3 + 20356*p**2 - 301730*p + 1161600.
-2*(p - 1