 Calculate x.
6/1931
Factor 4*w**3/3 - 80*w**2/3 - 92*w.
4*w*(w - 23)*(w + 3)/3
Factor -w**3/2 - 406*w**2 - 35520*w - 824832.
-(w + 48)**2*(w + 716)/2
Find u, given that -3*u**3/5 + 7701*u**2 - 121939461*u/5 - 10387951569/5 = 0.
-83, 6459
Find s, given that 2*s**2/7 + 22226*s/7 - 22228/7 = 0.
-11114, 1
Find l, given that 48*l**3 + 12*l**2 - 22*l/3 - 2/3 = 0.
-1/2, -1/12, 1/3
Determine l, given that -5*l**5 - 1437*l**4 + 48721*l**3 + 21153*l**2 - 48716*l - 19716 = 0.
-318, -1, -2/5, 1, 31
Factor 3*c**2 + 2352*c - 23820.
3*(c - 10)*(c + 794)
Factor k**4/5 - 21098*k**3/5 + 63288*k**2/5 - 63286*k/5 + 4219.
(k - 21095)*(k - 1)**3/5
Suppose -t**3/4 + 97033*t**2/4 - 2353608171*t/4 - 11770466805/4 = 0. Calculate t.
-5, 48519
Let 3*o**2 - 40977*o + 40974 = 0. What is o?
1, 13658
Find l, given that -10*l**2 - 1265118*l = 0.
-632559/5, 0
Solve -8*c**4 + 4220*c**3 - 617148*c**2 + 15560512*c - 7626496 = 0 for c.
1/2, 31, 248
Factor -5*n**3 - 1245*n**2 - 54720*n.
-5*n*(n + 57)*(n + 192)
Solve -5*k**3 + 13100*k**2 + 277305*k = 0 for k.
-21, 0, 2641
Factor -5*m**2 + 2098110*m - 2098105.
-5*(m - 419621)*(m - 1)
What is u in -u**3 + 24509*u**2 - 147027*u + 220527 = 0?
3, 24503
Find h such that -h**3 - 2273*h**2 - 4543*h - 2271 = 0.
-2271, -1
Let 4*i**4 - 712*i**3 + 8112*i**2 - 23904*i = 0. Calculate i.
0, 6, 166
Factor -57*d**3 - 612*d**2 - 1635*d.
-3*d*(d + 5)*(19*d + 109)
Factor -2*c**2 - 30050*c - 30048.
-2*(c + 1)*(c + 15024)
Factor 3*u**4 + 129*u**3 + 126*u**2.
3*u**2*(u + 1)*(u + 42)
Solve -2*u**2/11 - 25332*u/11 - 25330/11 = 0.
-12665, -1
Solve 75*c**2/4 - 3061455*c/2 + 124966756227/4 = 0.
204097/5
Determine k, given that 14*k**3 - 47804*k**2 + 218272*k - 109120 = 0.
4/7, 4, 3410
Determine r, given that 6*r**3/23 - 40298*r**2/23 - 1322676*r/23 - 863872/23 = 0.
-32, -2/3, 6749
Factor 2*s**2/9 + 155332*s/9 + 103552/3.
2*(s + 2)*(s + 77664)/9
Let f**5 - 63*f**4 + 182*f**3 - 120*f**2 = 0. What is f?
0, 1, 2, 60
Factor -10*c**2 + 6944*c - 34470.
-2*(c - 5)*(5*c - 3447)
What is b in b**2 - 48839*b - 48840 = 0?
-1, 48840
Let -5*p**4 + 1710*p**3 - 123400*p**2 + 240000*p = 0. Calculate p.
0, 2, 100, 240
Factor -2*s**2/7 + 572*s/7 - 6050/7.
-2*(s - 275)*(s - 11)/7
Factor 36*a**3 - 1408*a**2 - 2892*a + 4264.
4*(a - 41)*(a - 1)*(9*a + 26)
Suppose m**3/5 + 152*m**2/5 - 988*m/5 - 1264 = 0. Calculate m.
-158, -4, 10
Determine z so that -36*z**2 - 52*z + 368 = 0.
-4, 23/9
Factor 5*m**2 - 4650*m + 689125.
5*(m - 745)*(m - 185)
Let -m**4/9 - 1240*m**3/3 - 7432*m**2/3 - 44576*m/9 - 9904/3 = 0. Calculate m.
-3714, -2
Factor 28*d**3 - 184*d**2 - 35940*d + 20592.
4*(d - 39)*(d + 33)*(7*d - 4)
Factor 5*a**3 - 10150*a**2 - 2940960*a - 199853280.
5*(a - 2294)*(a + 132)**2
Factor -41*i**2/6 + 695*i/6 + 17/3.
-(i - 17)*(41*i + 2)/6
Factor 2*y**2 + 2498*y + 61200.
2*(y + 25)*(y + 1224)
Solve -363*a**4/4 + 8337*a**3/4 - 51633*a**2/4 + 42207*a/4 + 363 = 0 for a.
-4/121, 1, 11
Find t such that 1408*t**5/13 + 282208*t**4/13 + 680904*t**3/13 + 585522*t**2/13 + 203256*t/13 + 21384/13 = 0.
-198, -3/4, -2/11
What is h in h**2/3 + 19177*h/3 - 19178/3 = 0?
-19178, 1
Factor -y**2/5 + 1864*y/5 + 101601/5.
-(y - 1917)*(y + 53)/5
What is i in -2*i**2/3 + 186*i + 1140 = 0?
-6, 285
Factor h**2 + 706*h - 4272.
(h - 6)*(h + 712)
Factor -2*q**2/15 + 172*q + 65376/5.
-2*(q - 1362)*(q + 72)/15
Solve -l**4 + 72*l**3 - 1516*l**2 + 8928*l - 15808 = 0 for l.
4, 26, 38
What is j in 16*j**4/3 - 24*j**3 - 971*j**2/3 - 366*j - 215/3 = 0?
-5, -1, -1/4, 43/4
Determine o, given that -3*o**2/2 - 52167*o + 104337/2 = 0.
-34779, 1
Factor -2*v**3 - 1512*v**2 - 7462*v + 36048.
-2*(v - 3)*(v + 8)*(v + 751)
Solve 5*y**5/3 - 1595*y**4/3 + 189155*y**3/3 - 3261075*y**2 + 58714560*y + 207239220 = 0.
-3, 74, 87
Factor 3*j**2/4 - 297*j/4 - 2214.
3*(j - 123)*(j + 24)/4
Factor p**2 + 2043*p - 2044.
(p - 1)*(p + 2044)
Factor -y**2/4 + 27*y/4 + 1925/2.
-(y - 77)*(y + 50)/4
Factor f**4 + 28*f**3 - 1104*f**2 + 7488*f.
f*(f - 12)**2*(f + 52)
Find d such that 4*d**3 - 63576*d**2 + 252619236*d = 0.
0, 7947
Suppose -5*i**2 + 107060*i - 573092180 = 0. Calculate i.
10706
Determine s so that -2*s**3/3 - 268*s**2/3 + 20198*s/3 - 19928/3 = 0.
-188, 1, 53
Find h, given that -4*h**4 - 236*h**3/3 - 260*h**2/3 + 7276*h/3 - 2256 = 0.
-47/3, -9, 1, 4
Suppose -2*r**3/5 + 502*r**2/5 + 504*r/5 = 0. What is r?
-1, 0, 252
Determine b so that -2*b**4/3 - 826*b**3/3 - 4812*b**2 - 28584*b - 56880 = 0.
-395, -6
What is f in 2916*f**4/5 - 83592*f**3/5 - 100224*f**2 - 923648*f/5 - 557056/5 = 0?
-16/9, 34
Solve 375*l**5/2 - 12127725*l**4/2 + 7276545*l**3/2 - 1455303*l**2/2 + 48510*l = 0.
0, 1/5, 32340
Let -15*m**4/2 - 646*m**3 - 10567*m**2/2 - 693*m = 0. What is m?
-77, -9, -2/15, 0
Determine v so that 5*v**4 + 77*v**3/5 - 7419*v**2/5 + 41931*v/5 + 3402/5 = 0.
-21, -2/25, 9
Solve -2*y**3 - 13890*y**2 - 24123456*y - 24109568 = 0 for y.
-3472, -1
Solve 2*d**2 - 176445*d/2 + 44111/2 = 0 for d.
1/4, 44111
Determine x so that 95*x**3 + 75*x**2 - 1430*x - 2400 = 0.
-3, -2, 80/19
Factor 5*l**2/3 + 2170*l/3 + 3575.
5*(l + 5)*(l + 429)/3
Find a such that -4*a**3 + 112*a**2 - 656*a - 1792 = 0.
-2, 14, 16
Suppose 5*w**5 + 35*w**4 - 55*w**3 - 295*w**2 + 590*w - 280 = 0. Calculate w.
-7, -4, 1, 2
Let 4346*v**3/3 + 32*v**2/3 - 4346*v/3 - 32/3 = 0. Calculate v.
-1, -16/2173, 1
Factor -2*b**2/5 - 2492*b/5 + 27654/5.
-2*(b - 11)*(b + 1257)/5
Solve 2*d**2/3 - 80938*d/3 + 80936/3 = 0 for d.
1, 40468
Solve -14*a**4/15 - 45890*a**3/3 - 1091914*a**2/5 - 12150446*a/15 - 641900/3 = 0 for a.
-16375, -7, -2/7
Factor -33*a**3/5 + 53*a**2/2 + 691*a/5 - 21/10.
-(a - 7)*(a + 3)*(66*a - 1)/10
Suppose 5*f**2/4 + 870*f + 58900 = 0. Calculate f.
-620, -76
Determine s, given that 25*s**2 + 20620*s + 16480 = 0.
-824, -4/5
Let 5*l**2 + 1445*l - 650260 = 0. Calculate l.
-533, 244
Determine u so that -2*u**3 - 880*u**2 + 13622*u - 12740 = 0.
-455, 1, 14
Factor -5*i**3/2 + 1555*i**2 - 15395*i/2 - 9255.
-5*(i - 617)*(i - 6)*(i + 1)/2
Factor 3*w**2/2 - 1137*w.
3*w*(w - 758)/2
Factor -97*x**2/3 + x/6.
-x*(194*x - 1)/6
Factor 30*k**4 + 1384*k**3 + 184*k**2.
2*k**2*(k + 46)*(15*k + 2)
Suppose -5*h**5 - 55*h**4 + 605*h**3 - 485*h**2 - 600*h + 540 = 0. What is h?
-18, -1, 1, 6
Factor 2*k**2 + 4575376*k + 2616758192672.
2*(k + 1143844)**2
Let -4*s**3 - 3348*s**2 - 916764*s - 82475020 = 0. What is s?
-355, -241
Suppose -t**5/2 + 329*t**4/2 + 331*t**3 = 0. What is t?
-2, 0, 331
Suppose -o**4/3 + 17*o**3/3 + 79*o**2/3 + 103*o/3 + 14 = 0. Calculate o.
-2, -1, 21
Suppose -2*d**2 - 30068*d - 113010578 = 0. What is d?
-7517
Suppose 9*c**5/4 - 58*c**4 - 61*c**3/4 + 58*c**2 + 13*c = 0. Calculate c.
-1, -2/9, 0, 1, 26
Solve -3*y**3 - 4866*y**2 + 199692*y + 418824 = 0.
-1662, -2, 42
Suppose g**4 - 6926*g**3 + 11985437*g**2 + 24019376*g - 35997888 = 0. What is g?
-3, 1, 3464
Factor 2*y**2/9 - 262*y/3 + 768.
2*(y - 384)*(y - 9)/9
Find p, given that -p**5 + 390*p**4 - 1161*p**3 - 4*p**2 + 1548*p = 0.
-1, 0, 2, 387
Let 2*w**4/13 - 48*w**3/13 - 10*w**2 + 8256*w/13 - 2560 = 0. Calculate w.
-13, 5, 16
What is i in 2*i**3/9 - 454*i**2/9 + 2668*i/9 - 3536/9 = 0?
2, 4, 221
Suppose 2*u**4/7 + 498*u**3/7 + 31188*u**2/7 + 15872*u/7 - 922560/7 = 0. What is u?
-124, -6, 5
Factor -a**3/8 + 5*a**2/2 - 27*a/2 + 18.
-(a - 12)*(a - 6)*(a - 2)/8
Factor -5*y**3/2 + 2385*y**2/2 + 2395*y.
-5*y*(y - 479)*(y + 2)/2
Determine k, given that -4*k**3 - 56204*k**2 - 196839136*k + 4158444864 = 0.
-7036, 21
Solve q**3/2 - 241*q**2 - 2449*q/2 + 3409 = 0.
-7, 2, 487
Factor -2*s**3/5 + 90044*s**2/5 - 1013490242*s/5.
-2*s*(s - 22511)**2/5
Factor -5*s**2/2 - 480*s + 30250.
-5*(s - 50)*(s + 242)/2
Suppose 2*c**2 - 9*c + 7 = 0. What is c?
1, 7/2
Factor -2*t**3 - 888*t**2 - 6990*t - 6104.
-2*(t + 1)*(t + 7)*(t + 436)
Find x such that 2*x**2/3 + 10406*x/3 + 3468 = 0.
-5202, -1
Let -2*h**5 + 112*h**4/9 + 142*h**3/3 + 224*h**2/9 - 8*h = 0. What is h?
-2, -1, 0, 2/9, 9
Find x, given that 3*x**5 - 123*x**4 - 1479*x**3 - 2577*x**2 - 1224*x = 0.
-8, -1, 0, 51
Factor 3*g**2 + 3024*g - 9099.
3*(g - 3)*(g + 1011)
What is k in -k**2/2 + 237683*k/2 - 237681 = 0?
2, 237681
Solve -2*c**3/9 - 11258*c**2/9 - 33760*c/9 - 22504/9 = 0 for c.
-5626, -2, -1
Determine a so that 5*a**5 + 200*a**4 - 21365*a**3 - 21560*a**2 = 0.
-88, -1, 0, 49
Factor 2*l**2 - 404*l + 15984.
2