**2*(23193*u - 2)**2
Determine s so that 5*s**2 - 1760*s + 3500 = 0.
2, 350
Factor 30*b**3 - 98785*b**2 + 82295*b + 16460.
5*(b - 3292)*(b - 1)*(6*b + 1)
Factor -3*s**2 + 51018*s + 102048.
-3*(s - 17008)*(s + 2)
Factor 2*h**4/3 - 1124*h**3 + 670974*h**2 - 166246344*h + 14584123224.
2*(h - 594)**2*(h - 249)**2/3
Let -6*z**4/5 + 96*z**3/5 - 372*z**2/5 - 96*z/5 + 378/5 = 0. Calculate z.
-1, 1, 7, 9
Suppose 2*h**5/21 - 100*h**4/3 + 69656*h**3/21 - 489648*h**2/7 + 2861568*h/7 - 5038848/7 = 0. What is h?
4, 18, 162
Factor -2*m**2/9 + 154624*m/9 - 2988572672/9.
-2*(m - 38656)**2/9
Factor 16*y**4 - 664*y**3 - 54135*y**2 + 82296*y - 30996.
(y - 82)*(y + 42)*(4*y - 3)**2
Determine j so that -15*j**2 - 48726*j - 291816 = 0.
-16212/5, -6
Factor d**2 + 436408*d + 47612985616.
(d + 218204)**2
Solve 26*t**3/9 - 3968*t**2/9 + 152608*t/9 - 92416/9 = 0 for t.
8/13, 76
Factor 3*m**4 + 1503*m**3 + 189000*m**2 + 187500*m.
3*m*(m + 1)*(m + 250)**2
Factor -4*p**3/5 - 129832*p**2/5 - 1053521764*p/5.
-4*p*(p + 16229)**2/5
Solve -8*f**2/13 + 16606*f/13 + 20770/13 = 0 for f.
-5/4, 2077
Factor -4*x**3 - 4564*x**2 + 22896*x - 27504.
-4*(x - 3)*(x - 2)*(x + 1146)
Factor -12*y**2 + 3729*y - 2790.
-3*(y - 310)*(4*y - 3)
Solve -4*n**2 - 2528*n - 5040 = 0.
-630, -2
Factor -3*i**3/4 + 2307*i**2 - 1769460*i - 7114800.
-3*(i - 1540)**2*(i + 4)/4
Factor g**2/2 - 131511*g + 17295143121/2.
(g - 131511)**2/2
Find u, given that -417387*u**3/8 + 113019*u**2 - 141639*u/8 + 2883/4 = 0.
31/373, 2
Factor 3*o**3/5 - 22761*o**2/5 + 91008*o/5 - 90996/5.
3*(o - 7583)*(o - 2)**2/5
Solve 4*f**5 - 28*f**4 - 9612*f**3 + 253260*f**2 - 1744200*f = 0 for f.
-57, 0, 15, 34
Solve -470*p**4 + 29615*p**3 - 29455*p**2 + 310*p = 0.
0, 1/94, 1, 62
Factor 2*w**5/9 - 64*w**4 + 14200*w**3/3 - 161312*w**2/9.
2*w**2*(w - 142)**2*(w - 4)/9
Solve 3*m**2/4 - 14457*m/4 + 14451/2 = 0.
2, 4817
Solve -49*f**4/9 + 8540*f**3 - 30445972*f**2/9 + 26654560*f - 477335104/9 = 0 for f.
4, 5462/7
What is b in -2*b**2/9 - 1180*b/9 - 4688/9 = 0?
-586, -4
Let 2*b**2 - 2024*b + 20040 = 0. Calculate b.
10, 1002
Factor 1639*y**2 + 3200*y - 156.
(y + 2)*(1639*y - 78)
Factor -l**3/2 - 330*l**2 + 3339*l/2 + 4655.
-(l - 7)*(l + 2)*(l + 665)/2
Solve -q**4 + 412*q**3/3 - 134*q**2/3 - 412*q/3 + 137/3 = 0 for q.
-1, 1/3, 1, 137
Suppose 53*n**4/8 - 267*n**3/8 + 217*n**2/4 - 57*n/2 + 1 = 0. What is n?
2/53, 1, 2
Suppose 32*j**4/13 + 4752*j**3/13 + 170226*j**2/13 - 86006*j/13 + 10788/13 = 0. Calculate j.
-87, -62, 1/4
Factor -4*b**2 - 384*b - 8732.
-4*(b + 37)*(b + 59)
Solve -y**2 + 249*y + 3406 = 0 for y.
-13, 262
Let -4*h**5 + 128*h**4 + 1124*h**3 - 26448*h**2 - 85680*h = 0. Calculate h.
-14, -3, 0, 15, 34
Factor 3*h**2 - 67482*h - 67485.
3*(h - 22495)*(h + 1)
Factor z**5/5 - 273*z**4/5 + 3162*z**3/5 - 7858*z**2/5 + 7317*z/5 - 2349/5.
(z - 261)*(z - 9)*(z - 1)**3/5
Determine n so that n**4 + 516606*n**3 + 88960586412*n**2 + 5106396967106408*n = 0.
-172202, 0
Factor y**3/7 - 452*y**2/7 - 10307*y/7 - 57354/7.
(y - 474)*(y + 11)**2/7
Suppose 4*y**3/5 + 68924*y**2/5 + 59388364*y + 59374580 = 0. What is y?
-8615, -1
Factor 5*r**3/3 - 133*r**2/3 - 1244*r/3 - 476/3.
(r - 34)*(r + 7)*(5*r + 2)/3
Factor -2*p**3 + 334*p**2 + 8840*p - 19000.
-2*(p - 190)*(p - 2)*(p + 25)
What is q in 5*q**5 + 100*q**4 + 220*q**3 - 730*q**2 - 2385*q - 1530 = 0?
-17, -3, -2, -1, 3
Let -2*c**2/7 - 17368*c/7 + 69504/7 = 0. Calculate c.
-8688, 4
Factor d**2/3 - 185446*d/3 + 8597554729/3.
(d - 92723)**2/3
Determine x, given that x**2 - 110833*x + 221662 = 0.
2, 110831
Determine y so that 2*y**2/3 - 1168*y + 511584 = 0.
876
Find t, given that t**4/3 - 15610*t**3/3 + 5203*t**2 = 0.
0, 1, 15609
Factor 2*a**2/13 + 3538*a/13 - 3564.
2*(a - 13)*(a + 1782)/13
Factor -5*l**2 - 269170*l - 3622624445.
-5*(l + 26917)**2
Factor -5*h**3 + 2330*h**2 + 7235*h - 93800.
-5*(h - 469)*(h - 5)*(h + 8)
Factor -2*k**2/9 - 104*k/9 + 21976/9.
-2*(k - 82)*(k + 134)/9
Factor 3*z**3/2 + 5922*z**2 - 35559*z/2.
3*z*(z - 3)*(z + 3951)/2
Solve -40*w**4/3 - 61005*w**3 - 144835*w**2 - 320125*w/3 - 22865 = 0.
-4573, -1, -3/8
Factor 4*q**3 - 252*q**2 - 2244*q - 1988.
4*(q - 71)*(q + 1)*(q + 7)
What is l in l**4/2 - 837*l**3/2 + 1251*l**2 + 2*l - 1668 = 0?
-1, 2, 834
Determine p, given that -5*p**5 + 25*p**4 + 810*p**3 - 6700*p**2 + 9320*p + 16800 = 0.
-14, -1, 4, 6, 10
Factor -v**2/3 - 38*v/3 + 5264/3.
-(v - 56)*(v + 94)/3
Factor o**4/2 - 9*o**3 - 135*o**2/2 - 108*o.
o*(o - 24)*(o + 3)**2/2
Factor 5*o**4 - 12680*o**3 - 38105*o**2 + 50780*o.
5*o*(o - 2539)*(o - 1)*(o + 4)
Find a, given that a**4 + 45*a**3 + 472*a**2 + 1872*a + 2560 = 0.
-32, -5, -4
Factor o**2/6 + 7675*o/6 + 35686.
(o + 28)*(o + 7647)/6
Let -75*f**4 - 360*f**3 - 189*f**2 + 516*f + 108 = 0. What is f?
-18/5, -2, -1/5, 1
Find z such that 2*z**2 - 716*z - 3630 = 0.
-5, 363
Solve -3*m**2 - 7203*m - 14394 = 0.
-2399, -2
Solve n**3/4 - 19*n**2/4 - 4841*n/4 + 165675/4 = 0.
-75, 47
Solve l**2/2 - 65*l/2 - 5467 = 0.
-77, 142
Find v, given that 3*v**5/7 + 7326*v**4/7 - 36726*v**3/7 - 51372*v**2/7 + 36723*v/7 + 44046/7 = 0.
-2447, -1, 1, 6
Factor -m**3 - m**2/4 + 74037*m/2 - 10953369/4.
-(m - 111)**2*(4*m + 889)/4
Suppose z**5/2 - 39*z**4/2 - 277*z**3/2 + 315*z**2/2 = 0. Calculate z.
-7, 0, 1, 45
Determine m so that 4*m**2 - 11943040*m + 8914762777600 = 0.
1492880
Let -10*f**5 + 395*f**4 - 4565*f**3 + 13795*f**2 + 10575*f - 8190 = 0. What is f?
-1, 1/2, 6, 13, 21
Determine r so that -r**4/2 + 161*r**3/2 + 495*r**2 + 998*r + 668 = 0.
-2, 167
Determine l so that -l**3/3 + 18533*l**2/3 + 148312*l/3 + 296656/3 = 0.
-4, 18541
Find c such that -9*c**3 - 1482*c**2 + 651*c + 25740 = 0.
-165, -4, 13/3
Let 10*w**2/9 + 14462*w/9 - 37804/3 = 0. Calculate w.
-1454, 39/5
Suppose 162*y**4 + 4921308*y**3 + 37376514026*y**2 + 16611054936*y + 1845645768 = 0. Calculate y.
-15189, -2/9
Factor -q**3 + 1007*q**2 - 311883*q + 27422109.
-(q - 429)**2*(q - 149)
Factor -70*s**2/9 + 8446*s/9 + 968/3.
-2*(s - 121)*(35*s + 12)/9
Suppose 4*n**2 + 7097904*n + 3148765074576 = 0. What is n?
-887238
Let -a**3 - 1159*a**2 - 2315*a - 1157 = 0. What is a?
-1157, -1
Determine g, given that -2*g**2/5 + 6028*g/5 - 875466/5 = 0.
153, 2861
Solve 5*u**4 - 22120*u**3 + 44225*u**2 - 22110*u = 0.
0, 1, 4422
Suppose -4*j**2/7 + 1502*j/7 + 752/7 = 0. Calculate j.
-1/2, 376
Factor -i**3/5 - 2*i**2 + 17*i/5 + 66/5.
-(i - 3)*(i + 2)*(i + 11)/5
Suppose 3*b**3 + 405*b**2 - 3531*b - 14157 = 0. What is b?
-143, -3, 11
Let 92*l**3/7 - 128*l**2/7 - 76*l - 312/7 = 0. What is l?
-1, 78/23
Factor -4*m**4 + 47452*m**3 - 284616*m**2 + 569168*m - 379424.
-4*(m - 11857)*(m - 2)**3
Suppose s**4/4 - 185*s**3/4 + 2023*s**2/2 - 1840*s = 0. What is s?
0, 2, 23, 160
What is m in 15*m**3 + 7685*m**2 + 40660*m + 50700 = 0?
-507, -10/3, -2
Determine i so that -2*i**2/5 - 2728*i/5 - 12864 = 0.
-1340, -24
Suppose -15*d**3 + 22325*d**2 - 7420*d - 29760 = 0. Calculate d.
-1, 4/3, 1488
Factor -2*x**5/7 + 56218*x**4/7 - 56216*x**3/7.
-2*x**3*(x - 28108)*(x - 1)/7
Suppose 7*x**3/6 + x**2 - 1573*x/6 - 1564 = 0. Calculate x.
-69/7, -8, 17
Find g such that -2*g**5 - 928*g**4 - 108570*g**3 - 213444*g**2 = 0.
-231, -2, 0
Factor -p**2/2 + 208*p + 840.
-(p - 420)*(p + 4)/2
Determine q so that 4*q**5 - 1084*q**4 - 2200*q**3 + 4360*q**2 + 2196*q - 3276 = 0.
-3, -1, 1, 273
Factor 3*x**2/4 + 531*x/4 + 8505/2.
3*(x + 42)*(x + 135)/4
Find l such that 2*l**4 + 526*l**3/7 + 3530*l**2/7 - 4146*l - 2520 = 0.
-21, -4/7, 5
What is r in -16*r**5 - 880*r**4 - 2484*r**3 + 656*r**2 + 1652*r - 624 = 0?
-52, -3, -1, 1/2
Factor 3*c**3 - 9075*c**2.
3*c**2*(c - 3025)
Factor 94*k**2/9 - 4502*k/9 + 16456/3.
2*(k - 17)*(47*k - 1452)/9
Suppose h**5/5 - 484*h**4/5 - 123676*h**3/5 - 1306144*h**2 = 0. What is h?
-98, 0, 680
What is f in f**3 + 33223*f**2/4 + 34490665*f/2 - 17247409/4 = 0?
-4153, 1/4
Find t, given that 72*t**3 - 905097*t**2 + 716496*t - 75420 = 0.
1/8, 2/3, 12570
Factor 4*o**5 - 876*o**4 + 58968*o**3 - 803088*o**2 - 28473120*o.
4*o*(o - 78)**3*(o + 15)
Determine z so that 74*z**3 - 741*z**2 + 1860*z - 25 = 0.
1/74, 5
Factor -2*d**2/7 - 272206*d/7.
-2*d*(d + 136103)/7
Find h such that -9*h**4/2 + 583*h**3/2 + 362*h**2 + 66*h = 0.
-1, -2/9, 0, 66
Find h such that -5*h**2/4 - 115*h/4 - 325/2 = 0.
-13, -10
Factor 8*r**3/5 - 34*r**2/5 - 402*r/5 + 108.
