20, 1
Factor 20*l**3 - 24665*l**2 + 7595270*l + 5710335.
5*(l - 617)**2*(4*l + 3)
Let -4*w**2 + 3400*w - 439476 = 0. What is w?
159, 691
Factor z**3/3 - 270772*z**2/3 + 541535*z - 812298.
(z - 270766)*(z - 3)**2/3
Let 5*m**3 + 97985*m**2 + 195950*m = 0. What is m?
-19595, -2, 0
Solve -2*k**3 - 8*k**2 + 712*k + 1440 = 0.
-20, -2, 18
Factor -m**3/4 - 9091*m**2/4 + 18185*m/4 - 9093/4.
-(m - 1)**2*(m + 9093)/4
Determine x so that -6*x**5 + 23*x**4 + 226*x**3 + 445*x**2 + 284*x + 36 = 0.
-2, -1, -1/6, 9
Factor -g**2 + 100771*g + 302322.
-(g - 100774)*(g + 3)
Find o such that -o**2/4 + 669*o/4 + 20691/2 = 0.
-57, 726
Find x, given that x**2 - 3989*x = 0.
0, 3989
Solve -2*h**2 + 1206*h + 8540 = 0 for h.
-7, 610
Suppose 4*k**3 + 93484*k**2 + 546250380*k + 546156900 = 0. Calculate k.
-11685, -1
Let 2*s**5 + 3228*s**4 + 1305712*s**3 + 2585632*s**2 - 5222880*s - 10394176 = 0. What is s?
-806, -2, 2
Solve -o**4 - 403*o**3 - 41932*o**2 - 257004*o + 1724976 = 0 for o.
-198, -11, 4
Factor p**3/3 - 69*p**2 + 614*p/3 - 136.
(p - 204)*(p - 2)*(p - 1)/3
Factor -3*m**5/2 - 6843*m**4/2 - 1956237*m**3 - 5848197*m**2 - 11682723*m/2 - 3891963/2.
-3*(m + 1)**3*(m + 1139)**2/2
Factor b**2 - 107*b - 1560.
(b - 120)*(b + 13)
Factor -468825003*l**3/2 - 468975015*l**2/2 - 75012*l - 6.
-3*(l + 1)*(12501*l + 2)**2/2
What is j in -8*j**4 + 84*j**3 - 112*j**2 + 36*j = 0?
0, 1/2, 1, 9
Let 4*d**4 - 516*d**3 + 4884*d**2 - 14876*d + 14280 = 0. Calculate d.
2, 3, 5, 119
Factor -2*g**4/5 + 12872*g**3/5 - 5603676*g**2 + 21466609352*g/5 - 1830207038018/5.
-2*(g - 2113)**3*(g - 97)/5
Determine k so that 5*k**4 - 23805*k**3 - 5*k**2 + 23805*k = 0.
-1, 0, 1, 4761
Let -2*i**2/3 - 518930*i/3 + 2075752/3 = 0. Calculate i.
-259469, 4
Determine g so that -28*g**3 - 792*g**2 - 5012*g - 1368 = 0.
-19, -9, -2/7
Factor -2*j**2/21 - 804632*j/21 - 80929081928/21.
-2*(j + 201158)**2/21
Suppose -2*s**3/13 - 7054*s**2/13 - 42270*s/13 - 63378/13 = 0. What is s?
-3521, -3
Factor -5*o**2 + 61340*o - 188129780.
-5*(o - 6134)**2
Determine w so that -1815*w**3 + 30880*w**2 - 425*w = 0.
0, 5/363, 17
Factor -u**2/4 - 9359*u + 37440.
-(u - 4)*(u + 37440)/4
Determine s so that 4*s**3 + 9028*s**2 - 36176*s = 0.
-2261, 0, 4
Factor 5*z**2 + 665*z + 5000.
5*(z + 8)*(z + 125)
Let -5*a**5 - 9840*a**4 + 135*a**3 + 265410*a**2 - 531360*a = 0. What is a?
-1968, -6, 0, 3
Factor 50285*y**2/2 + 150853*y/2 - 3.
(y + 3)*(50285*y - 2)/2
Factor -5*d**2 - 1615*d - 64860.
-5*(d + 47)*(d + 276)
Find m such that m**2/3 - 161468*m/3 = 0.
0, 161468
Factor -5*q**2 + 5370*q - 105400.
-5*(q - 1054)*(q - 20)
Factor -3*a**2 + 179988*a - 2699640012.
-3*(a - 29998)**2
Determine a so that -a**2/3 + 1392*a - 20855/3 = 0.
5, 4171
Find k, given that -5*k**3 + 48125*k**2 - 115824840*k + 115776720 = 0.
1, 4812
Let 13019*o**2/2 - 925*o/6 + 1/3 = 0. What is o?
2/831, 1/47
Suppose -5*d**4 + 10*d**3 + 2200*d**2 = 0. Calculate d.
-20, 0, 22
Factor p**3/4 - 26*p**2 + 1349*p/4 - 623/2.
(p - 89)*(p - 14)*(p - 1)/4
Find s such that -28*s**5 + 132*s**4 + 292*s**3 - 1188*s**2 - 360*s = 0.
-3, -2/7, 0, 3, 5
Determine g, given that g**3 - 1683*g**2 + 29970*g = 0.
0, 18, 1665
Suppose 2*k**5 + 1576*k**4 + 7786*k**3 - 34420*k**2 + 25056*k = 0. What is k?
-783, -8, 0, 1, 2
Factor -w**3/6 + w**2/6 + 115*w/2 - 819/2.
-(w - 13)*(w - 9)*(w + 21)/6
Determine v so that -4*v**4 - 129516*v**3 + 259044*v**2 - 129524*v = 0.
-32381, 0, 1
Factor -14*n**3 + 31*n**2 - 6*n.
-n*(n - 2)*(14*n - 3)
Determine n so that 4*n**3 + 33068*n**2 + 330316*n + 297252 = 0.
-8257, -9, -1
Determine u so that u**2/5 + 1646744*u/5 + 677941450384/5 = 0.
-823372
Solve -339*j**4/2 - 7791*j**3/2 + 81837*j**2/2 - 75009*j/2 + 651 = 0 for j.
-31, 2/113, 1, 7
Determine v so that 2*v**2/11 + 31540*v/11 + 124346450/11 = 0.
-7885
What is u in 4*u**3/7 - 220*u**2/7 + 2812*u/7 + 3036/7 = 0?
-1, 23, 33
Factor -4*h**2 - 18512*h + 18516.
-4*(h - 1)*(h + 4629)
Suppose -11*l**3 + 80*l**2 + 163*l + 72 = 0. What is l?
-1, -8/11, 9
Let -u**5/4 + 44045*u**4/2 + 3*u**3/4 - 66068*u**2 + 44045*u = 0. What is u?
-2, 0, 1, 88090
Let 3*c**2/2 - 109992*c + 2016373344 = 0. What is c?
36664
Factor -5*r**3 + 359400*r**2 - 1078155*r.
-5*r*(r - 71877)*(r - 3)
Factor -2*o**5/3 - 92*o**4 + 280*o**3 - 844*o**2/3 + 94*o.
-2*o*(o - 1)**3*(o + 141)/3
What is x in 156*x**4 - 2433*x**3 - 6618*x**2 - 2364*x - 216 = 0?
-2, -1/4, -2/13, 18
Determine t, given that t**2 + 3301*t - 167550 = 0.
-3351, 50
Suppose -2*p**2/7 + 82538*p/7 = 0. What is p?
0, 41269
Suppose z**2 + 13175*z - 26354 = 0. Calculate z.
-13177, 2
Solve u**2/7 + 130*u + 28096/7 = 0.
-878, -32
Find z such that -390*z**4 - 256*z**3 + 1002*z**2 - 180*z - 176 = 0.
-2, -1/3, 44/65, 1
Solve w**5 + 2442*w**4 + 616980*w**3 + 54638038*w**2 + 1634495499*w = 0 for w.
-2169, -91, 0
Factor 2*r**3/13 - 8470*r**2/13 + 690142*r - 8963378/13.
2*(r - 2117)**2*(r - 1)/13
Factor a**3 - 5041*a**2 + 6350399*a + 6355441.
(a - 2521)**2*(a + 1)
Solve j**2 - 125467*j - 125468 = 0.
-1, 125468
Suppose 2*j**3/11 - 166992*j**2/11 + 667944*j/11 - 667936/11 = 0. What is j?
2, 83492
Find k, given that 2*k**4/11 + 196*k**3/11 + 570*k**2/11 - 8*k/11 - 760/11 = 0.
-95, -2, 1
Suppose -2*l**4 - 146*l**3 + 768*l**2 - 936*l = 0. What is l?
-78, 0, 2, 3
Find t such that 2*t**2/13 + 27918*t/13 - 55844/13 = 0.
-13961, 2
Find i, given that 5*i**3 + 105*i**2 - 405*i - 4025 = 0.
-23, -5, 7
Let -2*i**3/9 - 65152*i**2/9 + 130310*i/9 - 65156/9 = 0. What is i?
-32578, 1
Factor j**5 - 328*j**4 + 645*j**3 + 2278*j**2 + 1304*j.
j*(j - 326)*(j - 4)*(j + 1)**2
Factor -5*p**3 - 1740*p**2 + 10580*p - 14160.
-5*(p - 4)*(p - 2)*(p + 354)
Determine u so that 8208*u**3/11 - 2490*u**2 - 21788*u/11 + 80/11 = 0.
-2/3, 5/1368, 4
Suppose 3*z**3/4 - 1635*z**2/4 + 76125*z/4 - 928125/4 = 0. Calculate z.
25, 495
Factor 5*h**4 + 76725*h**3 + 294374640*h**2 + 294297920*h.
5*h*(h + 1)*(h + 7672)**2
Suppose w**5 - 1466*w**4 + 517773*w**3 + 14396332*w**2 + 27233476*w + 13356384 = 0. Calculate w.
-24, -1, 746
Let 39*t**4/2 - 315*t**3 - 79824*t**2 - 1585152*t + 245760 = 0. Calculate t.
-32, 2/13, 80
Let -2*x**4/7 + 48*x**3/7 + 324*x**2/7 - 4528*x/7 + 594 = 0. Calculate x.
-11, 1, 7, 27
Factor 2*f**4 + 58*f**3 - 970*f**2 - 21762*f + 198288.
2*(f - 17)*(f - 8)*(f + 27)**2
Determine m so that 2*m**2/5 + 634916*m/5 - 634918/5 = 0.
-317459, 1
Factor q**3/3 + 3335*q**2/3 + 23296*q/3.
q*(q + 7)*(q + 3328)/3
Let -3*d**4/7 + 79167*d**3/7 + 45243*d**2 + 395889*d/7 + 158358/7 = 0. What is d?
-2, -1, 26393
Find d such that 4*d**3 + 1372*d**2 + 16016*d + 42368 = 0.
-331, -8, -4
Determine v so that 4*v**2 + 2924*v - 11760 = 0.
-735, 4
Determine m so that 45*m**2 - 4990*m + 14040 = 0.
26/9, 108
Let 13*u**4 - 29417*u**3 + 16506098*u**2 + 153528128*u + 23228928 = 0. Calculate u.
-9, -2/13, 1136
Factor 2*y**4/9 + 3740*y**3/9 + 474550*y**2/3 - 303688000*y/9 + 13186880000/9.
2*(y - 80)**2*(y + 1015)**2/9
Factor 3*g**4/5 + 42*g**3/5 - 21*g**2 - 144*g/5.
3*g*(g - 3)*(g + 1)*(g + 16)/5
Factor -2*l**2/5 - 48628*l/5 + 9726.
-2*(l - 1)*(l + 24315)/5
Suppose v**5 + 16*v**4 - 480*v**3 - 3190*v**2 - 6001*v - 3306 = 0. What is v?
-29, -3, -2, -1, 19
Suppose -g**5 - 36*g**4 - 461*g**3 - 2442*g**2 - 4608*g - 2592 = 0. Calculate g.
-12, -9, -2, -1
Let 4021785*k**4 + 6213398355*k**3 - 400875570*k**2 + 8621060*k - 61800 = 0. What is k?
-1545, 2/93
Let 4*l**2 - 5104*l = 0. Calculate l.
0, 1276
Let 2*n**5/3 + 58*n**4/3 + 292*n**3/3 + 356*n**2/3 - 98*n - 138 = 0. Calculate n.
-23, -3, -1, 1
Suppose 3*j**5 - 5424*j**4 - 16290*j**3 - 16296*j**2 - 5433*j = 0. Calculate j.
-1, 0, 1811
Factor -q**3/5 - 723*q**2 - 3308232*q/5 - 74189168/5.
-(q + 23)*(q + 1796)**2/5
Determine b so that 2*b**3/3 + 3998*b**2/3 + 7982*b/3 - 3994 = 0.
-1997, -3, 1
Factor -2*z**3 + 832*z**2 - 75010*z - 75844.
-2*(z - 283)*(z - 134)*(z + 1)
Let 2*p**3/5 + 2656*p**2 + 26554*p/5 + 13276/5 = 0. What is p?
-6638, -1
What is o in 5*o**5 - 120*o**3 - 320*o**2 - 240*o = 0?
-2, 0, 6
Find g, given that -2*g**3/5 + 36972*g**2/5 - 221778*g/5 + 66528 = 0.
3, 18480
Factor 2*a**3 + 2*a**2 - 452*a - 2720.
2*(a - 17)*(a + 8)*(a + 10)
Factor -4*w**4 + 312*w**3 - 5876*w**2 - 6192*w.
-4*w*(w - 43)*(w - 36)*(w + 1)
Factor -w**4/4 - 4133*w**3/4 + 24825*w**2/4 - 37251*w/4.
-w*(w - 3)**2*(w + 4139)/4
Let 5*i**2/4 - 4725*i/4 + 53820 =