d**4 + 755*d**3 + 1130*d**2 + 520*d = 0?
-2, -4/3, -1, 0, 13
Factor 5274735*g**2 - 42696*g + 432/5.
3*(2965*g - 12)**2/5
Suppose h**2 + 364833*h - 364834 = 0. Calculate h.
-364834, 1
Find m, given that m**3/8 - 469*m**2/8 + 233*m/4 + 117 = 0.
-1, 2, 468
Find j such that 4*j**3 - 236*j**2 - 2724*j - 2484 = 0.
-9, -1, 69
Solve 5*t**2 - 3870*t - 206000 = 0.
-50, 824
Factor 49*g**3/2 + 7826*g**2 + 22285*g/2 + 3975.
(g + 318)*(7*g + 5)**2/2
Determine r so that -3*r**5/4 - 141*r**4/2 - 7071*r**3/4 - 4209*r**2 + 40365*r - 48600 = 0.
-45, -8, 2
What is k in k**4/10 + 11591*k**3/10 + 69519*k**2/10 + 20853*k/2 = 0?
-11585, -3, 0
Factor -3*p**2 - 2373*p - 32634.
-3*(p + 14)*(p + 777)
Determine g so that g**4/4 + 95*g**3/4 - 49*g**2/2 - 48*g = 0.
-96, -1, 0, 2
Let 3*w**2/7 + 216960*w + 27458457600 = 0. Calculate w.
-253120
Suppose -5*k**3 - 12355*k**2 - 24695*k - 12345 = 0. What is k?
-2469, -1
Let -2*a**2/5 - 12016*a - 180222/5 = 0. Calculate a.
-30037, -3
Factor -3*g**3/4 + 8625*g**2/4 - 4311*g/2.
-3*g*(g - 2874)*(g - 1)/4
Factor -4*a**2 - 11316*a - 11312.
-4*(a + 1)*(a + 2828)
Factor -4*x**3/5 + 304*x**2/5 + 16724*x/5.
-4*x*(x - 113)*(x + 37)/5
Factor r**2/4 + 557*r/2 + 1113/4.
(r + 1)*(r + 1113)/4
Factor 3*t**4 + 12018*t**3 + 13014207*t**2 + 1959294540*t + 79736342700.
3*(t + 85)**2*(t + 1918)**2
Factor -2*p**2 - 4022*p - 103220.
-2*(p + 26)*(p + 1985)
Find b such that b**3/4 + 37*b**2/4 - 461*b/4 + 423/4 = 0.
-47, 1, 9
Let -40*h**4 + 181*h**3 + 424*h**2 - 196*h = 0. Calculate h.
-2, 0, 2/5, 49/8
Find b such that 43245*b**3 - 234825*b**2 + 95000*b - 10000 = 0.
20/93, 5
Suppose -8*m**5 - 14668*m**4 - 6705056*m**3 + 16883844*m**2 + 13461552*m - 10112688 = 0. Calculate m.
-918, -1, 1/2, 3
Factor z**3 + 540*z**2 - 5511*z - 6050.
(z - 11)*(z + 1)*(z + 550)
Factor -a**5/8 - 41199*a**4/8 - 123591*a**3/8 - 123589*a**2/8 - 10299*a/2.
-a*(a + 1)**3*(a + 41196)/8
Factor -3*j**3/7 + 2685*j**2/7 - 591261*j/7 - 610203.
-3*(j - 451)**2*(j + 7)/7
Find w, given that -12*w**4 + 738*w**3 + 1120*w**2/3 - 248*w/3 = 0.
-2/3, 0, 1/6, 62
Find d, given that -2*d**5 + 2*d**4 + 1628*d**3 - 3248*d**2 = 0.
-29, 0, 2, 28
What is s in -2*s**2/7 - 110800*s/7 - 1534580000/7 = 0?
-27700
Factor -20*p**2 - 858452*p + 343384.
-4*(p + 42923)*(5*p - 2)
Determine w so that -5*w**2 + 2035*w/4 - 11475 = 0.
135/4, 68
Find s such that -s**2/8 + 10867*s/2 + 43469/8 = 0.
-1, 43469
Factor c**4 - 17*c**3 + 30*c**2 + 500*c - 1000.
(c - 10)**2*(c - 2)*(c + 5)
Suppose -5*s**2/2 + 353435*s/2 - 353425 = 0. Calculate s.
2, 70685
Solve 12*p**3 - 394*p**2 + 320*p = 0 for p.
0, 5/6, 32
Let -4*g**3 - 48384*g**2 + 968880*g - 4846400 = 0. What is g?
-12116, 10
Find t, given that -2*t**5 + 704*t**4 + 18674*t**3 + 66184*t**2 + 63336*t = 0.
-21, -2, 0, 377
Solve -4*b**5/3 + 2252*b**4/3 - 107500*b**3 + 514476*b**2 + 622728*b = 0.
-1, 0, 6, 279
Factor -3*h**2 + 1152*h + 8211.
-3*(h - 391)*(h + 7)
Solve 2*v**5/9 + 3028*v**4/3 + 18152*v**3/3 + 108884*v**2/9 + 30242*v/3 + 3024 = 0 for v.
-4536, -3, -1
Let 5*x**3 - 2480*x**2 + 2475*x = 0. What is x?
0, 1, 495
Find t such that -t**2 - 146*t + 8595 = 0.
-191, 45
Factor 6*b**3/5 + 167298*b**2/5 + 233221776*b - 1166276184/5.
6*(b - 1)*(b + 13942)**2/5
Factor 3*k**3 - 3255*k**2 + 12984*k - 12972.
3*(k - 1081)*(k - 2)**2
Solve -3*v**5 + 75*v**4 + 2091*v**3 - 30747*v**2 - 561960*v - 529200 = 0 for v.
-15, -1, 28
Factor 19*o**3 + 150*o**2 - 297*o - 972.
(o - 3)*(o + 9)*(19*o + 36)
What is n in -18*n**4 + 46092*n**3 - 352400*n**2 + 219572*n - 35742 = 0?
1/3, 7, 2553
Factor 4*l**3 + 670*l**2 - 1012*l + 338.
2*(l - 1)*(l + 169)*(2*l - 1)
Factor -5*x**3 - 2865*x**2 - 28230*x - 45040.
-5*(x + 2)*(x + 8)*(x + 563)
Factor -3*b**3 + 74193*b**2 - 458456985*b - 3212835381.
-3*(b - 12369)**2*(b + 7)
Solve -9*o**5/4 + 2949*o**4/4 + 24537*o**3/2 + 71787*o**2/2 - 446121*o/4 + 250533/4 = 0 for o.
-9, 1, 1031/3
Find q such that q**5 + 401*q**4 - 818*q**3 - 4850*q**2 - 5647*q - 2015 = 0.
-403, -1, 5
Factor 2*m**2 - 27794*m + 55580.
2*(m - 13895)*(m - 2)
Suppose -4*w**5/3 - 212*w**4 - 624*w**3 + 16*w**2/3 + 832*w = 0. Calculate w.
-156, -2, 0, 1
Let 12*o**3/5 + 49916*o**2/5 - 467008*o/5 - 66704 = 0. What is o?
-4169, -2/3, 10
Suppose i**5/6 - 319*i**4/6 + 27431*i**3/6 - 317813*i**2/6 + 173298*i - 124848 = 0. Calculate i.
1, 4, 8, 153
Factor 4*j**4 - 134568*j**3 + 1131784164*j**2.
4*j**2*(j - 16821)**2
Find m such that 15*m**3 - 29721*m**2 + 73537128*m/5 + 73685808/5 = 0.
-1, 4956/5
Find s such that s**3 - 1541*s**2 + 1538*s + 3080 = 0.
-1, 2, 1540
Determine u so that -u**4/2 - 275*u**3 + 4451*u**2/2 - 3624*u + 1674 = 0.
-558, 1, 6
Factor -q**3/7 + 2297*q**2/7 + 2298*q/7.
-q*(q - 2298)*(q + 1)/7
Factor -35*c**2/6 - 3937*c/6 - 187.
-(5*c + 561)*(7*c + 2)/6
Determine t so that 155*t**4 + 679510*t**3 + 744710080*t**2 - 48048640*t = 0.
-2192, 0, 2/31
Suppose 5*s**4 + 10958*s**3 + 6056121*s**2 + 57089848*s - 23805620 = 0. Calculate s.
-1091, -10, 2/5
Factor -b**5 - 445919*b**4 - 49710269758*b**3 + 149133484798*b**2 - 149134376641*b + 49711607521.
-(b - 1)**3*(b + 222961)**2
Determine n so that 6*n**3 + 2326*n**2 + 219994*n - 73590 = 0.
-223, -165, 1/3
Factor -j**4/4 - 12*j**3 + 103*j**2/4 + 75*j/2.
-j*(j - 3)*(j + 1)*(j + 50)/4
Suppose -5*x**2/2 + 4337*x/2 + 1302 = 0. Calculate x.
-3/5, 868
Determine a, given that -14*a**5 + 234*a**4 + 614*a**3 - 82*a**2 - 600*a - 152 = 0.
-2, -1, -2/7, 1, 19
Factor l**3/2 + 465*l**2/2 + 26676*l - 82134.
(l - 3)*(l + 234)**2/2
Factor l**3/4 - 7*l**2/2 - 147*l/4.
l*(l - 21)*(l + 7)/4
What is y in 3*y**2 - 2307*y - 2310 = 0?
-1, 770
Find z such that 180*z**4 - 29217*z**3 + 95088*z**2 - 26217*z - 2862 = 0.
-1/12, 2/5, 3, 159
Factor -v**2/5 + 8400*v - 88200000.
-(v - 21000)**2/5
Find v, given that 10*v**2 - 118163*v/4 + 4431/2 = 0.
3/40, 2954
Find y, given that 2*y**3 + 226*y**2 - 5940*y = 0.
-135, 0, 22
Suppose 3*s**3 + 195*s**2 - 5742*s = 0. What is s?
-87, 0, 22
Factor g**3/7 - 989*g**2/7 + 48775*g/7 - 47787/7.
(g - 937)*(g - 51)*(g - 1)/7
Determine s so that -39*s**4 - 40821*s**3 - 14238153*s**2 - 1653448575*s + 510102588 = 0.
-349, 4/13
Find u, given that -4*u**4 - 68*u**3 + 320*u**2 - 336*u = 0.
-21, 0, 2
Find t, given that t**2/3 - 27*t - 56200/3 = 0.
-200, 281
Suppose -i**5/4 - 253*i**4/4 - 1927*i**3/4 + 8081*i**2/4 - 256*i - 2695 = 0. Calculate i.
-245, -11, -1, 2
Factor -t**2 + 120868*t - 241732.
-(t - 120866)*(t - 2)
Solve -20*z**3 + 1655*z**2 - 15425*z - 3960 = 0 for z.
-1/4, 11, 72
Suppose g**4/2 - 75*g**3/8 + 27*g**2/4 = 0. What is g?
0, 3/4, 18
Factor 2*v**4/15 + 18112*v**3/15 + 8197490*v**2/3 - 82047364*v/15.
2*v*(v - 2)*(v + 4529)**2/15
Determine k so that k**3/6 - 223*k**2/2 + 445*k/2 - 667/6 = 0.
1, 667
Factor -2*h**2 - 29008*h - 58008.
-2*(h + 2)*(h + 14502)
Factor l**5 + 8*l**4 - 14*l**3 - 48*l**2 - 27*l.
l*(l - 3)*(l + 1)**2*(l + 9)
Let -4*r**3 + 1608*r**2 + 40996*r - 42600 = 0. What is r?
-25, 1, 426
Factor -b**3 + 9345*b**2 - 56042*b + 74712.
-(b - 9339)*(b - 4)*(b - 2)
Solve -2*h**3/7 - 382*h**2/7 - 15958*h/7 + 224422/7 = 0.
-101, 11
Determine h, given that 2*h**4/3 - 14*h**3/3 - 260*h**2/3 + 1112*h/3 + 1040 = 0.
-10, -2, 6, 13
Solve -2*y**2 + 238*y + 4624 = 0.
-17, 136
Factor 2*h**3/3 - 186698*h**2/3 - 373402*h/3 - 62234.
2*(h - 93351)*(h + 1)**2/3
Determine b, given that -b**3/7 - 241*b**2 - 43234*b/7 - 79728/7 = 0.
-1661, -24, -2
Factor -23805*c**3 - 864570*c**2 - 273845*c - 21780.
-5*(c + 36)*(69*c + 11)**2
Suppose -j**4/2 + 24881*j**3 - 309581838*j**2 + 1238003919*j - 1856893923/2 = 0. What is j?
1, 3, 24879
Solve -2*z**3/3 + 526*z**2/3 - 1360*z = 0 for z.
0, 8, 255
Find j such that 2*j**5/5 - 194*j**4 - 7852*j**3/5 - 17748*j**2/5 - 54*j/5 + 26622/5 = 0.
-3, 1, 493
Factor 2*y**2/7 + 830*y/7 + 6512/7.
2*(y + 8)*(y + 407)/7
Determine j so that j**2/10 - 19543*j/10 + 68376/5 = 0.
7, 19536
Factor -o**3 - 42943*o**2 - 85879*o + 128823.
-(o - 1)*(o + 3)*(o + 42941)
Solve -35*s**2/8 - 48821*s/8 + 1395/2 = 0 for s.
-1395, 4/35
Find l, given that 2*l**3/11 - 11598*l**2/11 + 69526*l/11 - 57930/11 = 0.
1, 5, 5793
Find q, given that q**3 + 1297*q**2 + 43006*q + 80832 = 0.
-1263, -32, -2
Find t, given that -2*t**5 + 464*t**4 + 20996*t**3 + 38704*t**2 - 60162*t = 0.
-37, -3, 0, 1, 271
Factor -3*l**2/2 - 445830*l - 33127398150.
-3*(l + 148610)**2/2
Wh