17
Determine t so that -t**3/8 - 365373*t**2/8 - 4171817496*t - 8343543649/2 = 0.
-182686, -1
Solve -z**2/3 + 24926*z/3 - 155326369/3 = 0 for z.
12463
Factor r**2 + 50256*r + 631416384.
(r + 25128)**2
Factor -2*l**2/13 - 236*l/13 - 1344/13.
-2*(l + 6)*(l + 112)/13
Determine g, given that 2*g**3 - 9196*g**2 + 18386*g - 9192 = 0.
1, 4596
Factor 4*b**4 - 1120*b**3 - 27876*b**2.
4*b**2*(b - 303)*(b + 23)
Find t such that -4*t**4 + 276*t**3 + 1800*t**2 = 0.
-6, 0, 75
Suppose 816*b**3 + 1035*b**2 + 324*b = 0. What is b?
-12/17, -9/16, 0
Factor 4*r**2/7 + 60964*r/7 + 182856/7.
4*(r + 3)*(r + 15238)/7
Factor -2*x**2/9 + 16*x + 224.
-2*(x - 84)*(x + 12)/9
Solve -22*x**3 + 12808*x**2 - 1865310*x + 338724 = 0 for x.
2/11, 291
Find f such that 2*f**2 - 278*f + 3720 = 0.
15, 124
Find k such that k**2 - 13495*k - 94514 = 0.
-7, 13502
Factor -2*l**2/5 + 161664*l/5 - 3266906112/5.
-2*(l - 40416)**2/5
Factor 11664450*q**3 + 128270310*q**2 - 425008*q + 352.
2*(q + 11)*(2415*q - 4)**2
Solve 4*z**5 + 480*z**4 + 4500*z**3 - 74680*z**2 - 85824*z + 155520 = 0.
-108, -20, -2, 1, 9
Solve -q**4 - 11*q**3 + 88*q**2 + 452*q + 480 = 0.
-15, -2, 8
Determine m so that 5*m**4 - 635*m**3 - 3340*m**2 + 5220*m + 7920 = 0.
-6, -1, 2, 132
Let 68*o**2/5 - 269184*o/5 + 31664 = 0. Calculate o.
10/17, 3958
Factor -3*w**3 + 2625*w**2 - 2622*w.
-3*w*(w - 874)*(w - 1)
Suppose 2*c**3/7 + 116*c**2/7 - 3210*c/7 + 8532/7 = 0. What is c?
-79, 3, 18
Factor -5*p**5 + 645*p**4 - 13320*p**3 + 75600*p**2.
-5*p**2*(p - 105)*(p - 12)**2
Suppose -3*i**2 - 987*i - 61740 = 0. What is i?
-245, -84
Factor 2*k**2 - 82*k - 45672.
2*(k - 173)*(k + 132)
Find u such that 4*u**2 - 131556*u - 131560 = 0.
-1, 32890
Factor -v**4/2 + 28880*v**3 + 115526*v**2 + 115528*v.
-v*(v - 57764)*(v + 2)**2/2
Factor b**5 - 5*b**4 - 30*b**3 + 20*b**2 + 200*b + 192.
(b - 8)*(b - 3)*(b + 2)**3
Factor 3*c**2 - 3825*c + 7638.
3*(c - 1273)*(c - 2)
Factor -r**2/2 - 801*r + 6440.
-(r - 8)*(r + 1610)/2
Solve 3*u**3/4 - 3447*u**2/4 + 1719*u/2 + 1722 = 0.
-1, 2, 1148
Factor 4*j**2 + 220*j - 3216.
4*(j - 12)*(j + 67)
Let 4*w**3 + 32624*w**2 - 65264*w = 0. What is w?
-8158, 0, 2
Suppose 2*l**2/5 - 24398*l/5 - 48804/5 = 0. What is l?
-2, 12201
Determine s so that -3*s**2 - 2335068*s - 454378547052 = 0.
-389178
Factor -2*w**2/7 + 33508*w/7 - 33506/7.
-2*(w - 16753)*(w - 1)/7
Solve 174*n**3/5 + 340*n**2 - 80*n = 0.
-10, 0, 20/87
Suppose 2*i**2/19 - 28914*i/19 - 637076/19 = 0. What is i?
-22, 14479
Determine d, given that -5*d**4/4 + 175*d**3/4 + 485*d**2/4 - 3955*d/4 - 2775 = 0.
-4, -3, 5, 37
Factor -3*j**2/7 + 3495*j/7 + 3498/7.
-3*(j - 1166)*(j + 1)/7
Let -4*j**2 + 2672*j - 21120 = 0. Calculate j.
8, 660
Factor 2*p**2/11 - 99416*p/11 + 1235442632/11.
2*(p - 24854)**2/11
What is g in 2*g**3/3 - 8914*g**2/3 - 11896*g = 0?
-4, 0, 4461
Let -r**2/2 + 463935*r - 215235684225/2 = 0. Calculate r.
463935
Factor 3*m**3 - 252*m**2 - 2511*m.
3*m*(m - 93)*(m + 9)
Determine s, given that -2*s**5 + 486*s**4 - 25974*s**3 + 475426*s**2 - 2381712*s = 0.
0, 8, 29, 177
Factor 2*l**2 + 20656*l + 247584.
2*(l + 12)*(l + 10316)
Factor -2*h**4 - 177196*h**3 - 3924625602*h**2 + 7849782800*h - 3924980000.
-2*(h - 1)**2*(h + 44300)**2
Factor 2*r**2 - 4500*r - 86222.
2*(r - 2269)*(r + 19)
Determine q so that 3*q**2/4 + 1323*q/4 - 6075/2 = 0.
-450, 9
Determine r so that r**2 + 269952*r + 18218520576 = 0.
-134976
Suppose -5*l**4 - 5420*l**3 + 60370*l**2 + 158580*l - 213525 = 0. What is l?
-1095, -3, 1, 13
Factor -4*w**2 - 1364*w + 28880.
-4*(w - 20)*(w + 361)
Factor 4*q**3/9 + 1252*q**2/3 + 274880*q/9.
4*q*(q + 80)*(q + 859)/9
Find f, given that 25*f**5 - 20*f**4 - 1785*f**3 + 20*f**2 + 1760*f = 0.
-8, -1, 0, 1, 44/5
Factor -j**2/3 + 45728*j - 1568287488.
-(j - 68592)**2/3
Let 2*q**3/5 - 1582*q**2/5 + 61120*q + 576000 = 0. Calculate q.
-9, 400
Solve 4*b**5/5 + 1124*b**4/5 + 3180*b**3 - 539748*b**2/5 + 104544*b = 0 for b.
-264, -33, 0, 1, 15
Factor -4*t**3 + 1112*t**2 - 41564*t - 87608.
-4*(t - 233)*(t - 47)*(t + 2)
Factor u**3/2 - 571*u**2/2 - 6239*u + 13616.
(u - 592)*(u - 2)*(u + 23)/2
Suppose 2*g**2/5 + 3491822*g/15 + 77596 = 0. What is g?
-581970, -1/3
Determine k, given that 4*k**5 + 1432*k**4 + 107068*k**3 + 202744*k**2 - 428336*k - 833888 = 0.
-253, -103, -2, 2
Solve -4*i**3 - 449*i**2 - 1405*i + 1308 = 0 for i.
-109, -4, 3/4
Suppose 8*o**5 + 98*o**4 + 256*o**3 + 202*o**2 + 36*o = 0. Calculate o.
-9, -2, -1, -1/4, 0
Find m, given that -2*m**2 + 30440*m - 115824200 = 0.
7610
Determine k, given that -2*k**5 - 9746*k**4/3 - 3978724*k**3/3 - 17065064*k**2/3 - 866160*k + 3499200 = 0.
-810, -4, -1, 2/3
Factor -4*p**2 + 3164*p - 40456.
-4*(p - 778)*(p - 13)
Suppose 2*b**5 + 88*b**4/7 - 830*b**3/7 - 3184*b**2/7 - 120*b = 0. Calculate b.
-10, -3, -2/7, 0, 7
Solve m**2 + 6*m - 32391 = 0 for m.
-183, 177
Factor 3*g**2 + 544512*g + 24707776512.
3*(g + 90752)**2
Factor d**2/4 + 111*d/2 - 460.
(d - 8)*(d + 230)/4
Let -3*s**3/4 + 262977*s**2/4 - 1440735930*s - 1440801675 = 0. What is s?
-1, 43830
What is q in 4*q**3/5 - 94402*q**2/5 - 28322*q - 47204/5 = 0?
-1, -1/2, 23602
Factor 100*y**2 + 3718*y + 666.
2*(y + 37)*(50*y + 9)
Factor -g**2 + 70*g + 2024.
-(g - 92)*(g + 22)
Factor -3*v**3/7 + 97413*v**2/7 + 194835*v/7 + 13917.
-3*(v - 32473)*(v + 1)**2/7
Suppose -5*h**5 - 60*h**4 + 12065*h**3 + 168840*h**2 - 3959280*h = 0. What is h?
-36, 0, 13, 47
Let -z**3/2 - 87*z**2 + 26928*z + 4869072 = 0. Calculate z.
-204, 234
Solve 2*t**2 + 226290*t + 678852 = 0 for t.
-113142, -3
Solve -98*r**4 - 65030*r**3 + 619044*r**2 - 1887080*r + 1819792 = 0 for r.
-673, 2, 26/7
Factor 2*b**3 - 1554*b**2 - 18914*b - 17358.
2*(b - 789)*(b + 1)*(b + 11)
Suppose o**5 - 56*o**4 + 494*o**3 + 7544*o**2 + 6993*o = 0. What is o?
-7, -1, 0, 27, 37
Suppose r**4 - 109*r**3 - 336*r**2 + 219484*r - 219040 = 0. What is r?
-40, 1, 74
Factor 76832*m**3/5 + 72912*m**2/5 - 774*m + 10.
2*(m + 1)*(196*m - 5)**2/5
What is b in b**4/5 + 6579*b**3/5 - 138453*b**2/5 + 969857*b/5 - 452760 = 0?
-6600, 7
Factor 4*p**2 - 468*p - 952.
4*(p - 119)*(p + 2)
Factor j**3/4 + 29*j**2/2 + 755*j/4 - 875/2.
(j - 2)*(j + 25)*(j + 35)/4
Factor -27*c**2/5 - 1422*c - 93615.
-3*(3*c + 395)**2/5
Factor 5*b**3 + 440*b**2 - 487600*b - 75505920.
5*(b - 336)*(b + 212)**2
Suppose -2*a**4 - 1366*a**3 - 240624*a**2 - 2515968*a - 5419008 = 0. What is a?
-336, -8, -3
Find o, given that o**2/5 + 23687*o/5 - 142158/5 = 0.
-23693, 6
Let -18*z**3/5 - 102*z**2/5 + 48*z/5 + 72/5 = 0. What is z?
-6, -2/3, 1
Solve -m**2/3 + 821*m = 0 for m.
0, 2463
Suppose 2*r**2 + 40112*r + 200510 = 0. What is r?
-20051, -5
Factor 4*x**3/9 + 212*x**2/9 - 276*x + 252.
4*(x - 9)*(x - 1)*(x + 63)/9
Factor r**3/2 + 16*r**2 - 18304*r.
r*(r - 176)*(r + 208)/2
Factor 4*p**2 + 11900*p + 745216.
4*(p + 64)*(p + 2911)
Let -2*c**5/13 - 180*c**4/13 + 66*c**3 + 9556*c**2/13 - 38856*c/13 - 47376/13 = 0. What is c?
-94, -7, -1, 6
Factor o**2/6 + 55*o/6 - 134.
(o - 12)*(o + 67)/6
Factor -b**3/3 + 91*b**2/3 - 266*b/3 + 176/3.
-(b - 88)*(b - 2)*(b - 1)/3
Suppose -4*l**2 - 110508*l + 110512 = 0. Calculate l.
-27628, 1
Solve n**4/7 - 24*n**3/7 + 108*n**2/7 + 320*n/7 = 0.
-2, 0, 10, 16
Factor -3*d**4 + 3556*d**3 - 3157726*d**2/3 - 2108708*d/3 - 351649/3.
-(d - 593)**2*(3*d + 1)**2/3
Determine n, given that -4*n**2 - 1748*n - 10344 = 0.
-431, -6
Factor -40*z**2 - 5954*z - 1486.
-2*(4*z + 1)*(5*z + 743)
Factor 3*r**3/7 + 384*r**2/7 - 14220*r/7.
3*r*(r - 30)*(r + 158)/7
Factor 64*n**3 + 136992*n**2 + 74055492*n + 798119564.
4*(n + 11)*(4*n + 4259)**2
Determine h so that -3*h**5/5 + 664*h**4/5 - 37832*h**3/5 + 120774*h**2/5 - 21473*h + 23762/5 = 0.
1/3, 1, 2, 109
Solve -s**3 - 340*s**2 - 652*s + 8112 = 0 for s.
-338, -6, 4
Factor -3*w**4 - 234*w**3 + 1017*w**2 + 2724*w + 1476.
-3*(w - 6)*(w + 1)**2*(w + 82)
Factor 4*j**3 + 4740*j**2 - 19044*j - 23780.
4*(j - 5)*(j + 1)*(j + 1189)
Suppose a**3/3 + 151*a**2/3 - 154*a = 0. What is a?
-154, 0, 3
Let -2*w**2 - 2012*w - 17946 = 0. Calculate w.
-997, -9
Factor -3*k**3/4 + 1485*k**2/2 - 64251*k/4 + 87846.
-3*(k - 968)*(k - 11)**2/4
Suppose -x**5/3 + 44*x**4/3 + 364*x**3/3 - 3296*x**2/3 + 1600*x = 0. What is x?
-12, 0, 2, 4, 50
Factor o**4 + 14*o**3 - 1915*o**2 - 13496*o + 957264.
(o - 28)**2*(o + 33)*(o + 37)
Find r such that r**2/7 + 314098*r/7 + 24