*3 - 821060*h**2 + 1642105*h - 821050.
5*(h - 164210)*(h - 1)**2
Find a, given that a**5 - 857*a**4/6 + 6502*a**3/3 + 421449*a**2/2 + 6182968*a/3 - 5595040/3 = 0.
-17, 5/6, 88
Find f such that -3*f**4 - 45*f**3 + 564*f**2 + 2124*f - 2640 = 0.
-22, -4, 1, 10
Find m such that 2*m**2 + 20924*m + 54726722 = 0.
-5231
Suppose w**2 - 704*w + 22780 = 0. Calculate w.
34, 670
Solve b**5 + 3*b**4 - 8*b**3 - 12*b**2 + 16*b = 0 for b.
-4, -2, 0, 1, 2
Solve -5*y**4 + 5840*y**3 - 52155*y**2 = 0.
0, 9, 1159
Find o such that o**2 - 231802*o + 13433041801 = 0.
115901
Factor -d**3 - 98022*d**2 - 2401980096*d + 4804352288.
-(d - 2)*(d + 49012)**2
Determine k so that -k**5/5 - k**4/5 + 6*k**3/5 = 0.
-3, 0, 2
Factor -4*r**2 - 398560*r - 9928129600.
-4*(r + 49820)**2
Solve -2568*q**3/11 - 11574*q**2/11 - 7236*q/11 = 0.
-402/107, -3/4, 0
Solve o**2/2 + 3823*o/2 = 0 for o.
-3823, 0
Determine q so that 3*q**3 + 324*q**2 + 10575*q + 92778 = 0.
-47, -14
Factor -r**2/8 + 101*r/4 + 4503.
-(r - 316)*(r + 114)/8
Let 4*k**5 - 15*k**4 - 1724*k**3 - 10398*k**2 + 9208*k + 2925 = 0. What is k?
-13, -9, -1/4, 1, 25
Factor -2*u**3/3 - 182*u**2/3 - 1404*u - 1344.
-2*(u + 1)*(u + 42)*(u + 48)/3
Solve d**2 + 464*d + 7599 = 0.
-447, -17
Find y, given that 2*y**4/5 + 38*y**3/5 - 428*y**2 - 8952*y/5 - 9072/5 = 0.
-42, -2, 27
Factor r**3/3 - 13204*r**2/3 + 43586404*r/3.
r*(r - 6602)**2/3
Find i such that i**5/5 + 5518*i**4/5 + 1515782*i**3 - 18298780*i**2 + 68751725*i - 76452250 = 0.
-2765, 2, 5
Factor 2*r**2/5 - 6354*r/5 - 6356/5.
2*(r - 3178)*(r + 1)/5
Suppose -3*a**4/4 - 49*a**3/2 + 499*a**2/4 + 313*a/2 - 370 = 0. What is a?
-37, -2, 4/3, 5
Factor -5*o**4 - 325*o**3 + 390*o**2 + 3960*o.
-5*o*(o - 4)*(o + 3)*(o + 66)
Factor 5*l**5 + 92420*l**4 + 277230*l**3 + 277220*l**2 + 92405*l.
5*l*(l + 1)**3*(l + 18481)
Let -5*a**4 + 4290*a**3 + 236095*a**2 + 459300*a + 227500 = 0. What is a?
-50, -1, 910
Let -5*u**3 - 5075*u**2 + 25480*u - 20400 = 0. What is u?
-1020, 1, 4
Let -28*t**4 - 333180*t**3 - 991031992*t**2 + 708145200*t + 283220000 = 0. What is t?
-5950, -2/7, 1
Factor 5*q**3 - 28110*q**2 - 649065*q - 620950.
5*(q - 5645)*(q + 1)*(q + 22)
Factor 3*r**5 + 831*r**4 + 12798*r**3 + 71070*r**2 + 156975*r + 97875.
3*(r + 1)*(r + 5)**3*(r + 261)
Determine s so that 3*s**5/5 + 21*s**4 + 1059*s**3/5 + 627*s**2 - 1062*s/5 - 648 = 0.
-20, -9, -6, -1, 1
Let -2*m**3/7 + 352*m**2/7 - 12850*m/7 + 12500/7 = 0. What is m?
1, 50, 125
Let -4*l**5/3 + 16*l**4/3 + 572*l**3 - 6768*l**2 + 23472*l - 17280 = 0. Calculate l.
-24, 1, 6, 15
Solve 16*c**4 - 193076*c**3 + 582208508*c**2 + 1602678740*c - 437054700 = 0.
-3, 1/4, 6035
Let y**3/6 + 42*y**2 + 5213*y/2 - 7946/3 = 0. What is y?
-137, -116, 1
Let -5*s**3/2 - 2*s**2 + 89*s/2 - 40 = 0. What is s?
-5, 1, 16/5
Solve -f**4/3 - 3443*f**3/2 + 5167*f**2/2 + 7748*f/3 - 1722 = 0.
-5166, -1, 1/2, 2
Solve -5*r**3 - 241*r**2/4 + 34971*r/8 - 1089 = 0.
-363/10, 1/4, 24
Determine p so that 3*p**2 - 60132*p = 0.
0, 20044
Let 4*d**4/21 + 886*d**3/21 - 1336*d**2/21 + 446*d/21 = 0. What is d?
-223, 0, 1/2, 1
Solve -9*f**5 + 618*f**4 + 2373*f**3 - 15462*f**2 + 9072*f = 0.
-7, 0, 2/3, 3, 72
Determine t so that 50*t**3 - 96880*t**2 + 154912*t - 61952 = 0.
4/5, 1936
Factor -5*w**3/4 - 101655*w**2/2 - 516737775*w - 1033272250.
-5*(w + 2)*(w + 20330)**2/4
Solve i**4/4 + 23*i**3 - 387*i**2/4 - 72009*i/2 - 71442 = 0.
-63, -2, 36
Let -2*l**4/5 + 72*l**3/5 - 812*l**2/5 + 2952*l/5 - 442 = 0. What is l?
1, 5, 13, 17
Factor -4*o**4 + 1444*o**3 + 4*o**2 - 1444*o.
-4*o*(o - 361)*(o - 1)*(o + 1)
Suppose w**2 + 9979*w = 0. Calculate w.
-9979, 0
Suppose 6*w**5 - 2008*w**4/3 + 6790*w**3/3 + 13136*w**2/3 + 1440*w = 0. Calculate w.
-1, -4/9, 0, 5, 108
Find t, given that 3*t**3 + 2460*t**2 - 9876*t + 9888 = 0.
-824, 2
What is h in h**2/5 + 437*h/5 + 36612/5 = 0?
-324, -113
Suppose 5*b**5 - 340*b**4 - 1120*b**3 + 3890*b**2 + 1115*b - 3550 = 0. What is b?
-5, -1, 1, 2, 71
Solve -2*m**3/7 + 166788*m**2/7 - 3477446400*m/7 + 6954225664/7 = 0.
2, 41696
Let -3*j**2/5 + 18*j - 663/5 = 0. Calculate j.
13, 17
Determine j, given that 2*j**4/5 + 1292*j**3 + 5077874*j**2/5 - 225709104*j/5 - 144530784 = 0.
-1636, -3, 45
Factor k**4/2 - 5*k**3/2 - 9*k**2/2 + 81*k/2 - 54.
(k - 3)**3*(k + 4)/2
Determine b so that -76*b**2 - 5000*b - 78624 = 0.
-756/19, -26
Find u, given that u**3/2 - 2249*u**2 + 398745*u/2 - 4463100 = 0.
45, 4408
Factor -3*m**2 + 31758*m + 31761.
-3*(m - 10587)*(m + 1)
Find j, given that -2*j**2/5 - 384*j/5 + 3618/5 = 0.
-201, 9
Suppose 14*k**5/3 - 56824*k**4/9 + 110774*k**3/9 + 10816*k**2/9 - 10808*k/9 = 0. Calculate k.
-1/3, 0, 2/7, 2, 1351
Suppose -118*g**4/15 + 194*g**3/15 + 1508*g**2/15 - 528*g/5 = 0. Calculate g.
-198/59, 0, 1, 4
Factor -n**4 + 1019266*n**3 - 259723756149*n**2 - 1038907255820*n - 1038911332900.
-(n - 509635)**2*(n + 2)**2
Let -54*p**4 + 310677*p**3 + 535170*p**2 + 258969*p + 34530 = 0. Calculate p.
-1, -1/2, -2/9, 5755
Suppose -5*g**2 - 9338380*g - 4360267051220 = 0. Calculate g.
-933838
Factor -6*i**3/7 - 2052*i**2/7 + 294*i.
-6*i*(i - 1)*(i + 343)/7
Factor 3*t**3 - 8661*t**2 + 6514968*t - 376817616.
3*(t - 1412)**2*(t - 63)
Determine c so that -4*c**4 + 1420*c**3 - 25584*c**2 + 15696*c + 145152 = 0.
-2, 3, 18, 336
Suppose -3*k**5/7 + 123*k**4/7 + 8553*k**3/7 + 8301*k**2/7 - 8550*k/7 - 8424/7 = 0. What is k?
-36, -1, 1, 78
Determine o, given that o**4 - 5081*o**3 - 35656*o**2 + 203564*o - 223872 = 0.
-11, 2, 5088
Factor 5*p**2 + 1345*p + 2670.
5*(p + 2)*(p + 267)
Factor 2*v**3/7 - 2524*v**2/7 - 17754*v/7 - 15228/7.
2*(v - 1269)*(v + 1)*(v + 6)/7
Let j**5 + 2269*j**4 + 1283682*j**3 - 3866944*j**2 + 2580992*j = 0. Calculate j.
-1136, 0, 1, 2
Determine b so that -b**5 + 6*b**4 + 43*b**3 - 20*b**2 - 108*b + 80 = 0.
-4, -2, 1, 10
Factor 2*f**3 - 217938*f**2 - 435882*f - 217942.
2*(f - 108971)*(f + 1)**2
Factor -3*g**3/2 + 3624*g**2 - 2188896*g.
-3*g*(g - 1208)**2/2
Let 27630792250*p**3/3 + 82892797270*p**2/3 + 6307808*p/15 + 8/5 = 0. What is p?
-3, -2/262825
Suppose -4*y**2/3 + 708*y - 10520/3 = 0. What is y?
5, 526
Determine y so that -62*y**3 - 32*y**2 + 402*y - 180 = 0.
-3, 15/31, 2
Determine y so that y**3/2 + 61509*y**2/2 + 472811976*y - 3311190974 = 0.
-30758, 7
Factor -2*f**2/3 + 1072*f/3 - 3850.
-2*(f - 525)*(f - 11)/3
Suppose l**5/4 + l**4 - 33*l**3/4 - l**2 + 8*l = 0. Calculate l.
-8, -1, 0, 1, 4
Factor 5*u**3 + 130*u**2 + 880*u + 1280.
5*(u + 2)*(u + 8)*(u + 16)
Let 2*r**5/3 - 4*r**4/3 - 98*r**3/3 + 268*r**2/3 + 120*r - 336 = 0. Calculate r.
-7, -2, 2, 3, 6
Factor -4*i**3 - 436*i**2 - 10108*i + 93492.
-4*(i - 7)*(i + 53)*(i + 63)
Factor -3*c**5 + 22185*c**4 - 2242062*c**3 + 75994284*c**2 - 859932216*c.
-3*c*(c - 7293)*(c - 34)**3
Let w**5 - 900*w**4 - 21186*w**3 - 39668*w**2 - 19383*w = 0. Calculate w.
-21, -1, 0, 923
Let -2*f**2 - 714*f + 89180 = 0. What is f?
-455, 98
Find n such that -2*n**4/11 - 798*n**3/11 - 14560*n**2/11 - 45600*n/11 = 0.
-380, -15, -4, 0
Determine a so that -4*a**4/7 + 3185940*a**3/7 - 845851140300*a**2/7 + 74856416164649500*a/7 = 0.
0, 265495
Determine i, given that -6*i**2/13 - 1319504*i/13 - 439834/13 = 0.
-219917, -1/3
Solve g**4 + 10985*g**3 + 40219746*g**2 + 49068082796*g - 49108313528 = 0.
-3662, 1
Factor 3*v**2 - 3876*v.
3*v*(v - 1292)
Find r, given that 50*r**4/7 - 1270*r**3/7 + 7332*r**2/7 - 12456*r/7 + 6480/7 = 0.
6/5, 5, 18
Factor -a**5/3 + 684*a**4 + 1369*a**3 + 2054*a**2/3.
-a**2*(a - 2054)*(a + 1)**2/3
Solve 716*d**4 + 66596*d**3 - 134580*d**2 + 66508*d + 760 = 0 for d.
-95, -2/179, 1
Determine d so that -5*d**3 - 4740*d**2 - 1120785*d - 1116050 = 0.
-505, -442, -1
Suppose -q**2/2 - 196*q - 6726 = 0. Calculate q.
-354, -38
Let 4*n**5/5 - 284*n**4/5 + 2352*n**3/5 - 7616*n**2/5 + 11008*n/5 - 5952/5 = 0. Calculate n.
2, 3, 62
What is v in 84050*v**2/17 + 60680*v/17 + 10952/17 = 0?
-74/205
Let -2*w**2/3 + 1454*w - 47740/3 = 0. Calculate w.
11, 2170
Solve 2*a**4 - 140*a**3 - 154*a**2 + 852*a = 0 for a.
-3, 0, 2, 71
Let c**2 - 444796*c + 444795 = 0. What is c?
1, 444795
Find f such that -2*f**5/9 - 406*f**4/9 - 19700*f**3/9 + 622400*f**2/9 + 55936000*f/9 + 481280000/9 = 0.
-80, -10, 47
Factor b**2 + 2758*b + 71032.
(b + 26)*(b + 2732)
Factor -2*o**3 + 30*o**2 + 368*o - 1320.
-2*(o - 22)*(o - 3)*(o + 10)
Let 16*y**5/3 - 398360*y**4/3