1
Determine f, given that -3*f**4/4 - 57*f**3 + 504*f**2 = 0.
-84, 0, 8
Factor -4*q**2 + 104*q - 420.
-4*(q - 21)*(q - 5)
Find h such that 2*h**5 + 4232*h**4 + 243068*h**3 + 703832*h**2 + 695378*h + 230384 = 0.
-2057, -56, -1
Solve -3*o**4 + 45*o**3 + 297*o**2 - 2673*o + 4374 = 0 for o.
-9, 3, 18
Solve 1480*k**3 + 7021116*k**2 + 8327029344*k - 22505536 = 0.
-2372, 1/370
Factor 2*m**4 - 104*m**3 - 4380*m**2 + 9064*m - 4582.
2*(m - 79)*(m - 1)**2*(m + 29)
Find b, given that 5*b**3 - 302535*b**2 + 605055*b - 302525 = 0.
1, 60505
Factor 2*q**2 - 438236*q + 24006348962.
2*(q - 109559)**2
Determine s so that -9*s**4 + 60*s**3 + 4572*s**2 - 44928*s - 107520 = 0.
-70/3, -2, 16
Find f such that -2*f**3/3 - 32888*f**2/3 - 460138*f/3 - 1610140/3 = 0.
-16430, -7
Suppose 2*q**2 - 400*q - 4642 = 0. What is q?
-11, 211
Factor y**5 + 1104*y**4 + 8738*y**3 - 32848*y**2 + 35061*y - 12056.
(y - 1)**3*(y + 11)*(y + 1096)
Suppose -9*g**2 + 163875*g - 54624 = 0. Calculate g.
1/3, 18208
Factor 3*v**3 - 377838*v**2 + 755667*v - 377832.
3*(v - 125944)*(v - 1)**2
Suppose -2*r**4/13 + 50*r**3/13 + 118*r**2/13 - 258*r/13 - 324/13 = 0. What is r?
-3, -1, 2, 27
Solve -m**2/3 - 136892*m/3 - 4684854916/3 = 0 for m.
-68446
Find h such that -4*h**2/3 - 93572*h + 561448/3 = 0.
-70181, 2
Let -w**4/3 + 53792*w**3/3 + 53794*w**2 + 161384*w/3 + 53795/3 = 0. Calculate w.
-1, 53795
Solve -h**4 - 15*h**3 - 44*h**2 + 60*h = 0.
-10, -6, 0, 1
Factor -3*s**3/2 + 98601*s**2/2.
-3*s**2*(s - 32867)/2
Let -q**4/10 - 259*q**3/10 - 5057*q**2/5 + 94830*q + 193500 = 0. What is q?
-150, -2, 43
Factor j**3 + 2*j**2 - 421*j + 418.
(j - 19)*(j - 1)*(j + 22)
Factor 4*m**4 - 1232*m**3 + 13208*m**2 - 41680*m + 29700.
4*(m - 297)*(m - 5)**2*(m - 1)
Factor 3*y**3 + 6834*y**2 + 3891963*y.
3*y*(y + 1139)**2
Suppose -2*s**4 - 88*s**3 - 314*s**2 + 276*s + 1440 = 0. Calculate s.
-40, -3, 2
Let 2*r**4/19 + 7380*r**3/19 + 7368*r**2/19 - 36884*r/19 + 22134/19 = 0. Calculate r.
-3689, -3, 1
Let 2*a**3 - 1328*a**2 + 2648*a = 0. What is a?
0, 2, 662
Determine q so that -2*q**3 - 112*q**2 - 1280*q = 0.
-40, -16, 0
Factor 2*x**4 - 68*x**3 - 128*x**2 + 4352*x.
2*x*(x - 34)*(x - 8)*(x + 8)
Find a such that 2*a**3 - 606*a**2 - 23760*a - 219672 = 0.
-18, 339
Suppose s**5 - 2670*s**4 - 42904*s**3 - 193264*s**2 - 343728*s - 214880 = 0. Calculate s.
-10, -2, 2686
Determine p so that -3*p**2 - 37302*p - 115953267 = 0.
-6217
Solve -2*o**4/11 + 2422*o**3/11 = 0 for o.
0, 1211
Suppose 4*r**3 + 50356*r**2 + 100696*r = 0. What is r?
-12587, -2, 0
Suppose -3*v**2 - 44940*v + 89892 = 0. What is v?
-14982, 2
Factor 2*f**2 + 4590*f - 13788.
2*(f - 3)*(f + 2298)
Suppose -5*w**3 - 75235*w**2 - 282977640*w + 283052880 = 0. Calculate w.
-7524, 1
Find t, given that 85692049*t**2 + 111084*t + 36 = 0.
-6/9257
Let 686*r**5 + 2058*r**4 - 7238*r**3 - 1242*r**2 + 3456*r + 1080 = 0. What is r?
-5, -3/7, 6/7, 2
What is o in 3*o**4 - 39*o**3 - 42*o**2 + 864*o + 864 = 0?
-4, -1, 6, 12
Factor 4*j**4 - 124*j**3 - 2168*j**2 - 5280*j.
4*j*(j - 44)*(j + 3)*(j + 10)
Solve -2*p**2 - 2713152*p - 920149221888 = 0 for p.
-678288
Let 5*x**5 - 147*x**4 + 1593*x**3 - 7589*x**2 + 14130*x - 4536 = 0. What is x?
2/5, 4, 7, 9
Find o such that -2*o**2 - 506*o + 5260 = 0.
-263, 10
Factor -5*d**4 + 76690*d**3 + 76695*d**2.
-5*d**2*(d - 15339)*(d + 1)
Find i such that 62*i**3 - 180*i**2 - 266*i - 24 = 0.
-1, -3/31, 4
Factor 5*d**2/4 - 831940*d + 138424832720.
5*(d - 332776)**2/4
Find w, given that -288*w**3 + 516*w**2 + 1419*w + 405 = 0.
-5/4, -1/3, 27/8
Suppose -g**3/2 - 12927*g**2/2 + 25857*g/2 - 12929/2 = 0. Calculate g.
-12929, 1
What is j in 100*j**3/11 - 4006*j**2/11 + 7840*j/11 - 456/11 = 0?
3/50, 2, 38
Factor 2*f**2/9 - 1066*f/9 - 840.
2*(f - 540)*(f + 7)/9
Solve -35*m**3 + 70655*m**2 + 232500*m + 60660 = 0 for m.
-3, -2/7, 2022
Solve -3*t**2 + 375*t + 68478 = 0 for t.
-101, 226
Solve -2*p**5/3 - 340*p**4/3 + 2*p**3 + 1016*p**2/3 - 680*p/3 = 0 for p.
-170, -2, 0, 1
What is t in 5*t**5/3 + 625*t**4 + 159160*t**3/3 - 3108880*t**2/3 + 5080320*t - 12293120/3 = 0?
-196, 1, 8
Find j such that -2*j**3/17 + 3208*j**2/17 + 19310*j/17 + 16100/17 = 0.
-5, -1, 1610
Factor 9604*u**2 + 19600*u + 10000.
4*(49*u + 50)**2
Factor 2*m**2/5 - 36*m - 12512/5.
2*(m - 136)*(m + 46)/5
What is l in 2*l**5 - 78*l**4 + 910*l**3 - 3794*l**2 + 5160*l - 2200 = 0?
1, 5, 10, 22
Factor -3*g**5 - 279*g**4 - 6345*g**3 + 6627*g**2.
-3*g**2*(g - 1)*(g + 47)**2
Factor -q**2 + 89276*q - 1992551044.
-(q - 44638)**2
Factor -1331000*o**4 + 7780300*o**3 - 16797330*o**2 + 15924681*o - 5606442.
-(o - 2)*(110*o - 141)**3
Factor 4*w**3 + 156*w**2 - 2320*w + 6528.
4*(w - 8)*(w - 4)*(w + 51)
Find y, given that 5*y**5 - 20*y**4 - 10*y**3 + 60*y**2 + 45*y = 0.
-1, 0, 3
Factor -5*t**4/2 - 1070615*t**3 - 152828506890*t**2 - 7271936956961865*t + 14544179573078745/2.
-5*(t - 1)*(t + 142749)**3/2
Solve 2*i**3 - 906*i**2 - 34232*i + 35136 = 0 for i.
-36, 1, 488
Determine q, given that -2*q**4/9 - 614*q**3/9 - 8204*q**2/9 = 0.
-293, -14, 0
Suppose 2*w**3/25 + 102*w**2/25 + 252*w/5 + 3536/25 = 0. Calculate w.
-34, -13, -4
Factor b**2 + 7468*b + 13942756.
(b + 3734)**2
Let j**2/3 + 24416*j/3 + 149035264/3 = 0. Calculate j.
-12208
Determine i so that 3*i**4 + 1026*i**3 + 21243*i**2 + 39420*i + 19200 = 0.
-320, -20, -1
Suppose -2*m**5/7 - 1420*m**4/7 + 87406*m**3/7 - 1291776*m**2/7 = 0. Calculate m.
-768, 0, 29
Let -2*v**2/13 - 10710*v/13 + 21428/13 = 0. What is v?
-5357, 2
Solve -b**3/3 + 470*b**2/3 - 48149*b/3 + 47680/3 = 0.
1, 149, 320
Factor 2*m**2/7 - 64*m + 5486/7.
2*(m - 211)*(m - 13)/7
What is r in 2356*r**5/5 - 26537*r**4/5 + 98723*r**3/5 - 130327*r**2/5 + 28257*r/5 - 72 = 0?
8/589, 1/4, 3, 5
Solve -4*b**4 - 524*b**3 - 3756*b**2 + 21996*b - 17712 = 0.
-123, -12, 1, 3
Determine f, given that -4*f**2/7 + 24*f/7 - 20/7 = 0.
1, 5
Factor -2*a**2/7 + 97106*a/7 + 194220/7.
-2*(a - 48555)*(a + 2)/7
Determine n, given that -12*n**5 + 7636*n**4 - 47580*n**3 - 189108*n**2 + 68040*n = 0.
-3, 0, 1/3, 9, 630
Factor -2*v**2/23 - 33244*v/23 - 138145442/23.
-2*(v + 8311)**2/23
Factor -2*f**3/15 - 1688984*f**2/15 - 356583369032*f/15.
-2*f*(f + 422246)**2/15
Factor 2*k**2/13 + 14610*k + 189928/13.
2*(k + 1)*(k + 94964)/13
Factor -4*p**2/7 + 12228*p/7 + 3496.
-4*(p - 3059)*(p + 2)/7
Suppose -3*u**4 + 2044*u**3/5 + 303*u**2 - 1092*u/5 - 548/5 = 0. What is u?
-1, -2/5, 2/3, 137
Factor 10*p**3 + 5308*p**2 - 461168*p.
2*p*(p - 76)*(5*p + 3034)
What is u in u**5/5 - 42*u**4/5 - 227*u**3/5 - 372*u**2/5 - 188*u/5 = 0?
-2, -1, 0, 47
Factor v**2 - 861*v + 860.
(v - 860)*(v - 1)
Suppose 144*m**4 + 30044*m**3/3 + 48662*m**2/9 - 1456*m + 46 = 0. Calculate m.
-69, -3/4, 1/27, 1/6
Find x, given that -3*x**5/7 - 60*x**4/7 + 279*x**3/7 - 216*x**2/7 = 0.
-24, 0, 1, 3
Factor -2*a**2/7 + 694*a/7 + 30960/7.
-2*(a - 387)*(a + 40)/7
Determine z, given that -15*z**5 + 9610*z**4 + 68050*z**3 - 28320*z**2 - 535075*z + 485750 = 0.
-5, 1, 2, 1943/3
Determine n so that -n**3/3 - 257*n**2/3 - 4556*n/3 - 8092/3 = 0.
-238, -17, -2
Determine j so that -5*j**5 - 3345*j**4 + 23675*j**3 + 10045*j**2 - 64290*j - 47320 = 0.
-676, -1, 2, 7
Suppose -29*q**4/8 - 22*q**3 + 13*q**2 + 88*q + 6 = 0. Calculate q.
-6, -2, -2/29, 2
Determine i so that -22*i**3/7 - 1640*i**2/7 - 4056*i/7 - 1728/7 = 0.
-72, -2, -6/11
What is i in -i**2/2 + 59*i/2 - 407 = 0?
22, 37
Factor -4*d**2/5 + 86128*d/5 - 463627024/5.
-4*(d - 10766)**2/5
Determine r so that r**4/7 - 2579*r**3/7 + 15431*r**2/7 + 2573*r = 0.
-1, 0, 7, 2573
Factor 5*h**2 - 515225*h + 515220.
5*(h - 103044)*(h - 1)
Determine q so that 7*q**5 + 86*q**4 + 202*q**3 + 44*q**2 - 209*q - 130 = 0.
-65/7, -2, -1, 1
Factor s**3/2 - 243*s**2/2 + 1717*s - 1596.
(s - 228)*(s - 14)*(s - 1)/2
Suppose g**4/4 + 49205*g**3/2 + 393629*g**2/4 + 123008*g + 49203 = 0. What is g?
-98406, -2, -1
Let 2*d**3/3 - 1017844*d**2/3 + 43167272960*d - 86333188800 = 0. What is d?
2, 254460
Solve 5*r**4 + 32730*r**3 + 53628045*r**2 + 213988820*r = 0.
-3271, -4, 0
Factor -20*w**3 - 4795*w**2 - 17745*w - 10620.
-5*(w + 3)*(w + 236)*(4*w + 3)
Factor 2*g**3 - 3308*g**2 + 1821568*g - 333968320.
2*(g - 590)*(g - 532)**2
Suppose t**4/6 + 32*t**3/3 + 85*t**2/6 - 391*t + 744 = 0. Calculate t.
-62, -8, 3
Factor -4*a**2 - 153980*a - 153976.
-4*(a + 1)*(a + 38494)
Let -