r 4*c**3 + 9244*c**2 + 73696*c.
4*c*(c + 8)*(c + 2303)
Find q, given that -4*q**3 - 389*q**2 - 8281*q - 2046 = 0.
-66, -31, -1/4
Factor u**4 - 29498*u**3 + 217503501*u**2 + 435095500*u + 217562500.
(u - 14750)**2*(u + 1)**2
Determine v, given that v**3/3 + 1664*v**2/3 + 119099*v/3 - 120764/3 = 0.
-1589, -76, 1
Factor 3*u**2 - 2250*u - 156288.
3*(u - 814)*(u + 64)
Factor 3*k**3/7 + 927*k**2/7 + 1842*k/7.
3*k*(k + 2)*(k + 307)/7
Factor f**2/3 + 10*f - 11656/3.
(f - 94)*(f + 124)/3
Let -7*g**3/2 + 76*g**2 + 10970*g + 3128 = 0. What is g?
-46, -2/7, 68
Factor 2*o**3/5 - 576*o**2/5 + 44202*o/5 - 77284.
2*(o - 139)**2*(o - 10)/5
Suppose -r**4 + 28*r**3 + 717*r**2 - 3172*r + 3268 = 0. Calculate r.
-19, 2, 43
Factor 4*m**3/5 - 2472*m**2/5 + 407664*m/5 - 7814752/5.
4*(m - 298)**2*(m - 22)/5
Determine o so that -97682*o**5/5 - 76024*o**4 + 725918*o**3/5 + 901412*o**2/5 - 104064*o/5 + 576 = 0.
-5, -1, 12/221, 2
Solve -8*h**5 - 108*h**4 - 264*h**3 + 268*h**2 + 1152*h + 720 = 0.
-10, -3, -3/2, -1, 2
Determine g so that -2*g**5/9 - 38*g**4/9 - 80*g**3/9 + 232*g**2/3 + 160*g = 0.
-15, -6, -2, 0, 4
Factor -25*w**4 + 470*w**3 + 2951*w**2 + 4056*w.
-w*(w - 24)*(5*w + 13)**2
Suppose -5*r**2 - 65375*r - 783780 = 0. Calculate r.
-13063, -12
Factor 5*k**4 + 1043870*k**3 + 54485316545*k**2 + 217928739900*k + 217924564500.
5*(k + 2)**2*(k + 104385)**2
Factor 128*y**2/3 + 250*y/3 - 4.
2*(y + 2)*(64*y - 3)/3
Factor -3*i**2/8 - 201*i + 2466.
-3*(i - 12)*(i + 548)/8
Find i such that -i**4 + 42*i**3 + 2799*i**2 + 29560*i - 32400 = 0.
-20, 1, 81
Solve 5*l**4 - 94245*l**3 + 282690*l**2 = 0 for l.
0, 3, 18846
Factor -2*g**2 - 11090*g + 111100.
-2*(g - 10)*(g + 5555)
What is d in -3*d**3 + 1038*d**2 - 5073*d - 14322 = 0?
-2, 7, 341
Factor -4*r**2 + 922*r/7 + 66/7.
-2*(r - 33)*(14*r + 1)/7
Determine r so that -7*r**5/8 - 1293*r**4/8 - 6833*r**3 - 23637*r**2 - 17654*r + 7134 = 0.
-123, -58, -2, 2/7
Factor 4*u**2 - 450208*u + 12667952704.
4*(u - 56276)**2
Suppose -6*d**2/5 + 2181*d - 5451/5 = 0. What is d?
1/2, 1817
Let -5*l**4 - 1734*l**3 + 1756*l**2/5 + 7278*l/5 - 3123/5 = 0. Calculate l.
-347, -1, 3/5
Solve -2*q**4/9 - 27656*q**3/9 - 31868930*q**2/3 + 27656*q/9 + 95606792/9 = 0.
-6914, -1, 1
Suppose -38*z**2 + 259278*z - 27292 = 0. What is z?
2/19, 6823
Determine o so that 2*o**3/13 + 1962*o**2/13 = 0.
-981, 0
Factor -p**4 - 888*p**3 - 171702*p**2 + 11292696*p - 161722089.
-(p - 27)**2*(p + 471)**2
Find d such that 4*d**3 + 1291252*d**2 + 104208878592*d + 104207587344 = 0.
-161406, -1
Find q, given that -q**2/2 + 8078*q + 80805/2 = 0.
-5, 16161
Factor 4*o**2/3 + 92*o - 280/3.
4*(o - 1)*(o + 70)/3
Let 5*u**3 - 250*u**2 + 705*u = 0. Calculate u.
0, 3, 47
Suppose -s**2 + 11096*s - 30780304 = 0. Calculate s.
5548
Factor -g**4/6 - 595*g**3/6 + 8004*g**2.
-g**2*(g - 72)*(g + 667)/6
Suppose 2*o**2/9 - 770*o/9 + 71300/9 = 0. What is o?
155, 230
Determine d so that -2*d**4/5 - 1092*d**3/5 + 16734*d**2/5 - 53768*d/5 + 49368/5 = 0.
-561, 2, 11
What is p in 29*p**4/2 - 1303*p**3/6 + 256*p**2 + 1514*p + 104/3 = 0?
-2, -2/87, 4, 13
Factor -n**4 - 36*n**3 - 185*n**2 - 150*n.
-n*(n + 1)*(n + 5)*(n + 30)
Let 2*f**2/9 + 67810*f + 610288/9 = 0. Calculate f.
-305144, -1
Solve -34*c**5/7 + 96*c**4/7 + 92*c**3/7 - 216*c**2/7 - 58*c/7 + 120/7 = 0.
-20/17, -1, 1, 3
Solve -4*y**3/3 + 644*y**2/3 - 2528*y/3 + 2512/3 = 0.
2, 157
Let 515094*f**4 + 42240052*f**3 + 576632*f**2/3 + 656*f/3 = 0. What is f?
-82, -2/879, 0
Factor 2*z**2 - 17842*z + 124796.
2*(z - 8914)*(z - 7)
Factor 4*q**3/7 - 404*q**2/7 - 2144*q/7 + 2544/7.
4*(q - 106)*(q - 1)*(q + 6)/7
Suppose 4*b**3 + 425832*b**2 - 425836*b = 0. What is b?
-106459, 0, 1
Factor 3*s**3 - 327*s**2 - 16182*s - 84672.
3*(s - 147)*(s + 6)*(s + 32)
Let 2*q**5/3 + 8*q**4/3 - 32*q**3/3 - 32*q**2/3 + 32*q = 0. What is q?
-6, -2, 0, 2
Factor -2*g**2/3 - 998*g/3 + 2704.
-2*(g - 8)*(g + 507)/3
Factor 3*j**3 - 489*j**2 + 3765*j - 6975.
3*(j - 155)*(j - 5)*(j - 3)
Solve 2*g**2/7 + 146*g/7 - 2236/7 = 0 for g.
-86, 13
Factor -3*f**3 - 4843*f**2 - 1930936*f + 19120976.
-(f + 812)**2*(3*f - 29)
Factor r**4 - 15416*r**3 + 59413264*r**2.
r**2*(r - 7708)**2
Factor -3*q**3 - 1023663*q**2 - 87323316297*q + 87324339963.
-3*(q - 1)*(q + 170611)**2
Suppose 5*m**3 - 2370*m**2 + 54720*m - 324000 = 0. What is m?
12, 450
Find q, given that 5*q**3 + 10830*q**2 + 32395*q - 108150 = 0.
-2163, -5, 2
Find a, given that 2*a**5/3 + 22*a**4/3 - 124*a**3/3 - 588*a**2 - 1026*a - 486 = 0.
-9, -1, 9
Factor -3*b**3/4 - 7173*b**2/4 + 7182*b - 7185.
-3*(b - 2)**2*(b + 2395)/4
What is k in 5*k**5 - 687*k**4 - 12341*k**3 - 67229*k**2 - 105840*k + 53900 = 0?
-7, -5, 2/5, 154
Solve -8*y**5 - 260*y**4 - 1036*y**3 - 760*y**2 + 672*y = 0.
-28, -3, -2, 0, 1/2
Determine t, given that 8*t**4 - 164*t**3 - 2972*t**2 + 11744*t - 10416 = 0.
-14, 3/2, 2, 31
Factor -4*p**3/5 + 48668*p**2/5 + 48672*p/5.
-4*p*(p - 12168)*(p + 1)/5
Factor -4*b**2 + 127264*b + 891044.
-4*(b - 31823)*(b + 7)
Factor -2*t**2 - 5126*t + 5128.
-2*(t - 1)*(t + 2564)
Let -6*v**5/7 - 74*v**4/7 - 270*v**3/7 - 190*v**2/7 + 396*v/7 + 144/7 = 0. Calculate v.
-6, -4, -3, -1/3, 1
Suppose -3*g**3/8 - 507*g**2/8 - 3555*g - 66150 = 0. What is g?
-60, -49
Factor -2*q**2/11 + 4834*q/11 - 67284/11.
-2*(q - 2403)*(q - 14)/11
Factor t**2/10 + 1061*t/10 + 8296.
(t + 85)*(t + 976)/10
Factor 4*v**2 - 76212*v - 152440.
4*(v - 19055)*(v + 2)
What is s in -2*s**3 - 2024868*s**2 + 8099496*s - 8099504 = 0?
-1012438, 2
Determine u, given that -128*u**3/3 - 248*u**2/3 + 14*u + 54 = 0.
-27/16, -1, 3/4
Factor -5*g**3/3 + 3290*g**2/3 - 614080*g/3 + 23104000/3.
-5*(g - 304)**2*(g - 50)/3
Suppose 20*k**5 - 348175*k**4 + 1515453395*k**3 - 1135610890*k**2 - 3409008640*k - 757596160 = 0. Calculate k.
-1, -1/4, 2, 8704
Suppose -u**2/3 - 226*u + 122248/3 = 0. What is u?
-826, 148
Factor 5*m**2 - 1670*m - 11935.
5*(m - 341)*(m + 7)
Factor -z**5 + 207*z**4 - 10556*z**3.
-z**3*(z - 116)*(z - 91)
Factor 50*r**3 - 3554*r**2 + 284*r.
2*r*(r - 71)*(25*r - 2)
Suppose -15*b**4 - 696*b**3 - 3951*b**2 - 4470*b - 1200 = 0. What is b?
-40, -5, -1, -2/5
Factor -2*x**3 + 4908*x**2 - 3006144*x - 6031936.
-2*(x - 1228)**2*(x + 2)
Let 7*x**2/4 - 10163*x/4 - 98557/2 = 0. Calculate x.
-134/7, 1471
What is g in g**5/5 + 383*g**4/5 + 1474*g**3 - 83984*g**2/5 = 0?
-362, -29, 0, 8
Suppose -2*d**2/7 + 29940*d/7 - 112050450/7 = 0. What is d?
7485
Factor -2*n**3/5 - 3552*n**2/5 - 1577088*n/5.
-2*n*(n + 888)**2/5
Determine c so that -3*c**4 - 1680*c**3 + 3384*c**2 + 6720*c - 13488 = 0.
-562, -2, 2
Find o such that -5*o**3/2 - 23371*o**2 - 9348*o = 0.
-9348, -2/5, 0
What is n in 4*n**3 + 2176*n**2 + 33852*n + 31680 = 0?
-528, -15, -1
Factor -2*w**2 - 4048*w - 8088.
-2*(w + 2)*(w + 2022)
Find q, given that 5*q**5 - 410*q**4 + 2275*q**3 + 530*q**2 - 11400*q = 0.
-2, 0, 3, 5, 76
Factor 157*j**2 - 1133*j - 1290.
(j + 1)*(157*j - 1290)
Solve 2*x**3 + 1358*x**2/15 + 556*x + 2128/15 = 0 for x.
-38, -7, -4/15
Factor -5*h**3 + 85*h**2 - 160*h - 700.
-5*(h - 14)*(h - 5)*(h + 2)
Suppose 3*r**3 + 93*r**2 - 996*r - 2340 = 0. Calculate r.
-39, -2, 10
What is k in 2*k**5 - 198*k**4 + 4806*k**3 + 14806*k**2 - 538608*k + 1901592 = 0?
-11, 6, 49
What is m in -m**5/4 + 171*m**4/4 - 2099*m**3/2 - 2271*m**2/2 + 4199*m/4 + 4371/4 = 0?
-1, 1, 31, 141
Let -g**4/7 - 104*g**3/7 - 305*g**2/7 - 202*g/7 = 0. What is g?
-101, -2, -1, 0
Factor 5*f**2 - 605*f - 47250.
5*(f - 175)*(f + 54)
Suppose f**5/5 - 73*f**4/5 - 5163*f**3/5 - 11803*f**2 + 42850*f - 30000 = 0. Calculate f.
-25, 1, 2, 120
Solve -6000*g**5 + 16400*g**4 - 15820*g**3 + 6512*g**2 - 1164*g + 72 = 0.
2/15, 3/10, 1
Let 2*r**4 - 154*r**3 + 694*r**2 + 1858*r + 1008 = 0. Calculate r.
-1, 7, 72
Determine k, given that k**5 + 2437*k**4/5 - 8871*k**3/5 - 16213*k**2/5 - 982*k = 0.
-491, -1, -2/5, 0, 5
Let 3*f**5 - 9*f**4 - 16428*f**3 - 16416*f**2 = 0. What is f?
-72, -1, 0, 76
Suppose -98*z**3 - 51855678*z**2 - 29631792*z - 4233112 = 0. Calculate z.
-529139, -2/7
Let -2*n**2/7 + 38*n + 540/7 = 0. What is n?
-2, 135
Determine o, given that -2*o**5/3 + 428*o**4/3 - 6692*o**3 - 314888*o**2/3 + 449966*o/3 + 663988 = 0.
-13, -2, 3, 113
Solve g**3/2 + 947*g**2/2 + 111864*g - 112338 = 0 for g.
-474, 1
Suppose -2*g**5/7 + 9284*g**4 - 64980*g**3/7 - 194968*g**2/7 + 324934*g/7 - 129972/7