29*w**2/2 + 27369*w/2 - 57519/2.
-(w - 7)*(w - 3)*(w + 2739)/2
Factor 2*f**2/3 + 29288*f - 175752.
2*(f - 6)*(f + 43938)/3
Factor -p**4 - 76*p**3 - 85*p**2 + 13734*p - 63504.
-(p - 7)**2*(p + 18)*(p + 72)
Suppose 5*w**5 + 1235*w**4 + 46560*w**3 - 3703140*w**2 + 38309760*w - 108241920 = 0. Calculate w.
-144, 6, 29
Factor -36076*y**2 - 685452*y - 152.
-4*(y + 19)*(9019*y + 2)
Factor -3*r**3/2 + 1143*r**2 - 2265*r/2 - 6849.
-3*(r - 761)*(r - 3)*(r + 2)/2
Solve -3*g**3 - 2922*g**2 - 5835*g - 2916 = 0 for g.
-972, -1
Find u, given that -u**2 + 81544*u - 244623 = 0.
3, 81541
Factor 4*q**4 + 1760*q**3 + 289536*q**2 + 21099008*q + 574409728.
4*(q + 92)*(q + 116)**3
Find d, given that -4*d**2 + 136992*d + 136996 = 0.
-1, 34249
Solve -4*j**2 - 100464*j + 100468 = 0.
-25117, 1
Find v, given that v**2 - 4225*v = 0.
0, 4225
Factor c**3 - 333*c**2/2 - 1013*c/2 - 339.
(c + 1)*(c + 2)*(2*c - 339)/2
Factor g**2/2 - 655*g/2 - 1318.
(g - 659)*(g + 4)/2
Let -3*z**5 - 23*z**4 + 78*z**3 + 60*z**2 - 200*z = 0. Calculate z.
-10, -5/3, 0, 2
Factor -5*g**2/2 - 631735*g/2 - 631725.
-5*(g + 2)*(g + 126345)/2
Suppose z**3/2 + 15*z**2/2 - 48*z + 40 = 0. Calculate z.
-20, 1, 4
Factor -4*s**2 - 185248*s + 926340.
-4*(s - 5)*(s + 46317)
Determine j, given that 2*j**5/5 + 36*j**4/5 - 86*j**3 + 288*j**2 - 1912*j/5 + 864/5 = 0.
-27, 1, 2, 4
Suppose i**5/5 + 296*i**4/5 - 601*i**3/5 - 1484*i**2/5 + 1788*i/5 = 0. Calculate i.
-298, -2, 0, 1, 3
What is r in 4*r**5/7 - 108*r**4/7 + 652*r**3/7 - 108*r**2 - 1520*r/7 = 0?
-1, 0, 4, 5, 19
Suppose 60*p**3 - 7925*p**2 + 262020*p - 21780 = 0. Calculate p.
1/12, 66
Determine k so that 3*k**3 - 2682*k**2 + 255687*k + 791280 = 0.
-3, 112, 785
Factor -x**2/9 - 347*x - 3122/9.
-(x + 1)*(x + 3122)/9
Determine i, given that 2*i**5 + 218*i**4 + 6356*i**3 + 72192*i**2 + 286272*i = 0.
-71, -14, -12, 0
Factor w**3/3 + 5102*w**2/3 + 40672*w + 243744.
(w + 12)**2*(w + 5078)/3
Let 290*t**5/7 + 4*t**4/7 - 290*t**3/7 - 4*t**2/7 = 0. Calculate t.
-1, -2/145, 0, 1
Let -2*r**4/11 - 130*r**3/11 - 1746*r**2/11 + 130*r/11 + 1748/11 = 0. What is r?
-46, -19, -1, 1
Factor -5*j**4 - 260*j**3 + 9625*j**2.
-5*j**2*(j - 25)*(j + 77)
Determine a, given that -3*a**2/8 - 597*a/8 + 909/4 = 0.
-202, 3
Solve -d**2 - 2607*d - 69660 = 0 for d.
-2580, -27
Suppose -q**4 + 1074*q**3 - 278541*q**2 - 5277636*q - 24147396 = 0. Calculate q.
-9, 546
Let -5*d**3 + 8910*d**2 + 8915*d = 0. What is d?
-1, 0, 1783
Suppose -4*v**4/3 + 98*v**3 + 3574*v**2 + 38906*v/3 + 9494 = 0. Calculate v.
-47/2, -3, -1, 101
Factor -v**3/9 + 13*v**2 + 616*v/9 - 244/3.
-(v - 122)*(v - 1)*(v + 6)/9
Solve 6*q**5/7 + 132*q**4/7 + 30*q**3/7 - 2040*q**2/7 - 216*q/7 + 864 = 0.
-21, -4, -2, 2, 3
Factor 3*t**2 - 273*t - 92616.
3*(t - 227)*(t + 136)
Factor 2*u**2/3 + 16414*u/3 + 163940/3.
2*(u + 10)*(u + 8197)/3
Determine t so that 2*t**3/19 - 1188*t**2/19 + 2370*t/19 - 1184/19 = 0.
1, 592
Factor -28*n**2 - 261656*n - 523200.
-4*(n + 2)*(7*n + 65400)
Let 3*r**4 - 78*r**3 + 249*r**2 + 3570*r = 0. Calculate r.
-5, 0, 14, 17
Factor 6*j**3/5 + 15322*j**2/5 + 10212*j/5.
2*j*(j + 2553)*(3*j + 2)/5
Suppose -4*r**3/3 + 5020*r**2 - 4692276*r - 185552692/3 = 0. Calculate r.
-13, 1889
Let -2*l**3/3 - 418*l**2/3 - 5248*l/3 + 110968/3 = 0. What is l?
-194, -26, 11
Determine a so that 2*a**3/21 - 68*a**2/3 - 362*a/7 + 1440 = 0.
-9, 7, 240
Factor -3*l**4 - 2604*l**3 - 2601*l**2.
-3*l**2*(l + 1)*(l + 867)
Suppose -2*l**5/7 + 3800*l**4/7 + 41952*l**3/7 + 171828*l**2/7 + 309474*l/7 + 29484 = 0. What is l?
-3, -2, 1911
Find z such that 5115*z**3/2 - 3985*z**2/2 - 1265*z + 700 = 0.
-20/31, 14/33, 1
Factor -r**4/3 - 1657*r**3 - 6624*r**2 - 19868*r/3.
-r*(r + 2)**2*(r + 4967)/3
Determine n so that 2*n**3/9 - 154*n**2/9 - 11450*n/9 - 158750/9 = 0.
-25, 127
Let -3*l**4 - 1075461*l**3 - 6452694*l**2 - 12905340*l - 8603544 = 0. What is l?
-358481, -2
Suppose t**3/3 + 10*t**2 - 133*t/3 + 34 = 0. Calculate t.
-34, 1, 3
Suppose 5*k**2 + 10375*k + 82680 = 0. What is k?
-2067, -8
Solve -2*w**5 + 68*w**4 + 574*w**3 - 3928*w**2 + 6808*w - 3520 = 0.
-11, 1, 2, 40
Factor -4*c**2/3 + 6224*c - 7263408.
-4*(c - 2334)**2/3
Factor -3*p**3 + 213*p**2 + 900*p.
-3*p*(p - 75)*(p + 4)
Find i such that -12*i**4/5 - 176*i**3/5 - 396*i**2/5 - 136*i/5 + 96/5 = 0.
-12, -2, -1, 1/3
Let u**3/5 - 1318*u**2/5 + 93149*u - 9940140 = 0. Calculate u.
245, 828
Factor 2*u**2 - 49672*u - 99352.
2*(u - 24838)*(u + 2)
Factor -a**3/4 + 235*a**2/4 + 8857*a/4 + 77741/4.
-(a - 269)*(a + 17)**2/4
Factor 147*u**3 + 819*u**2 - 4104*u + 3888.
3*(u + 9)*(7*u - 12)**2
Let -5*t**4 + 2935*t**3/6 - 8405*t**2/2 - 32570*t/3 - 6160 = 0. What is t?
-7/6, -1, 12, 88
Factor -26*k**2/3 + 111128*k/3 - 17096/3.
-2*(k - 4274)*(13*k - 2)/3
Find p, given that -3*p**2/5 + 256806*p/5 - 5495776803/5 = 0.
42801
Factor 39*i**4 - 6902*i**3 - 177*i**2.
i**2*(i - 177)*(39*i + 1)
Factor -u**3 - 17146*u**2 + 17149*u + 34294.
-(u - 2)*(u + 1)*(u + 17147)
Factor -6272*x**3/3 + 19040*x**2 + 18250*x + 12500/3.
-2*(x - 10)*(56*x + 25)**2/3
Let q**2/3 + 360200*q + 97308030000 = 0. What is q?
-540300
Factor -j**2/6 + 90*j - 3486.
-(j - 498)*(j - 42)/6
Factor -5*a**2 - 256965*a + 256970.
-5*(a - 1)*(a + 51394)
Factor 2*v**4/5 + 34*v**3/5 + 112*v**2/5 + 104*v/5.
2*v*(v + 2)**2*(v + 13)/5
Suppose 2*w**5/15 + 112*w**4/15 - 994*w**3/15 + 1928*w**2/15 + 472*w/15 - 512/3 = 0. Calculate w.
-64, -1, 2, 5
Factor j**3 + 19082*j**2 - 152720*j.
j*(j - 8)*(j + 19090)
Let -4*c**5/7 + 384*c**4/7 + 17188*c**3/7 + 21744*c**2 - 169776*c/7 = 0. What is c?
-18, 0, 1, 131
Factor c**3 - 55*c**2 - 2417*c + 7719.
(c - 83)*(c - 3)*(c + 31)
Find k such that -k**2/6 - 31619*k/6 = 0.
-31619, 0
Factor -3*q**2/2 - 17205*q/2 - 8601.
-3*(q + 1)*(q + 5734)/2
Factor 4*y**2 - 73560*y.
4*y*(y - 18390)
Solve -2*d**2/11 - 58848*d/11 + 5350 = 0.
-29425, 1
Determine i, given that -2*i**4 - 272*i**3 - 2314*i**2 - 3556*i = 0.
-127, -7, -2, 0
Find x, given that -2*x**4 + 340*x**3 + 1384*x**2 + 1392*x = 0.
-2, 0, 174
Solve -108*r**3 + 268*r**2 + 488*r - 960 = 0 for r.
-2, 40/27, 3
Factor 4*g**2 + 15120*g.
4*g*(g + 3780)
Factor 2*t**2 + 2478*t - 134264.
2*(t - 52)*(t + 1291)
Suppose v**3 + 93*v**2 + 1562*v = 0. Calculate v.
-71, -22, 0
Factor 3*k**4/5 + 6*k**3 - 267*k**2/5 - 126*k.
3*k*(k - 7)*(k + 2)*(k + 15)/5
Factor -4*d**2 + 6732*d - 20160.
-4*(d - 1680)*(d - 3)
Factor 3*f**2/2 + 334413*f + 668823/2.
3*(f + 1)*(f + 222941)/2
Factor j**3 + 41*j**2 - 4410*j.
j*(j - 49)*(j + 90)
Determine g so that 6*g**2/5 + 19548*g/5 + 78096/5 = 0.
-3254, -4
Factor 2*r**3 + 4542*r**2 + 2576448*r - 2580992.
2*(r - 1)*(r + 1136)**2
Suppose -5*b**4 - 45915*b**3 + 321570*b**2 - 735140*b + 551400 = 0. What is b?
-9190, 2, 3
Let 5*u**3/2 - 6505*u**2/2 + 22670*u - 32350 = 0. Calculate u.
2, 5, 1294
Let -f**4/4 + 407*f**3/4 - 203*f**2/2 = 0. What is f?
0, 1, 406
Find z, given that -2*z**2 + 1602*z - 1600 = 0.
1, 800
What is z in -z**5/9 - 40*z**4/9 + 98*z**3 - 800*z**2/9 - 881*z/9 + 280/3 = 0?
-56, -1, 1, 15
Determine h so that -h**4/8 + 97*h**3/8 + 309*h**2/8 - 69705*h/8 - 184275/2 = 0.
-15, 36, 91
Let q**3 + 59496*q**2 + 59493*q - 118990 = 0. What is q?
-59495, -2, 1
Factor -4*f**3 + 156796*f**2 - 1536639996*f + 1536483204.
-4*(f - 19599)**2*(f - 1)
Factor j**2 - 45*j - 250.
(j - 50)*(j + 5)
Factor 34*k**2/7 - 290*k/7 - 9632.
2*(k - 49)*(17*k + 688)/7
Find o such that o**5/4 - 283*o**4 + 2243*o**3 + 5620*o**2 = 0.
-2, 0, 10, 1124
Solve 3*k**3/2 - 132*k**2 + 3987*k/2 - 1863 = 0 for k.
1, 18, 69
Factor 2*f**3/3 + 28*f**2/3 - 730*f/3 - 252.
2*(f - 14)*(f + 1)*(f + 27)/3
Suppose -18*k**3/5 + 260*k**2 + 1026*k/5 - 292/5 = 0. Calculate k.
-1, 2/9, 73
Find r, given that 2*r**3 - 2162*r**2 + 6468*r = 0.
0, 3, 1078
Determine q so that -q**4 + 3*q**2 - 2*q = 0.
-2, 0, 1
Suppose 27*c**2/5 - 104889*c/5 - 4662 = 0. Calculate c.
-2/9, 3885
Factor -i**2 - 4*i + 117.
-(i - 9)*(i + 13)
Let 15*v**3 + 985*v**2 - 1360*v - 1340 = 0. Calculate v.
-67, -2/3, 2
Factor 4*h**2 + 47972*h + 191824.
4*(h + 4)*(h + 11989)
Factor -2*r**2 + 79774*r - 319064.
-2*(r - 39883)*(r - 4)
Find w such that -3*w**3 + 281502*w**2 - 6603333156*w - 13207792344 = 0.
-2, 46918
Solve -60*k**2 - 224872*k + 29984 = 0.
-3748, 2/15
Determine c, given that c**3/4 + 5*c**2 + 51*c/4 - 90 = 0.
-15, -8, 3
Determine g, given that -g**