 1008*m/11 = 0.
0, 6, 14
Find w such that -w**3 - 30*w**2 - 153*w + 756 = 0.
-21, -12, 3
Factor 3*a**4/2 - 6*a**3 - 432*a**2 - 3240*a - 7128.
3*(a - 22)*(a + 6)**3/2
Solve 215*h**4/4 + 63*h**3/4 - 211*h**2/4 - 63*h/4 - 1 = 0.
-1, -1/5, -4/43, 1
Factor 3*j**2 - 63441*j.
3*j*(j - 21147)
Factor -c**2/4 - 29007*c - 841406049.
-(c + 58014)**2/4
Determine w, given that 12*w**5/5 - 8946*w**4/5 - 205704*w**3/5 - 1268526*w**2/5 - 2519316*w/5 - 193536 = 0.
-14, -5, -3, -1/2, 768
Solve 8*h**2/3 + 7474*h/3 + 68450/3 = 0 for h.
-925, -37/4
Factor 2*p**2/7 + 970*p/7 + 8496.
2*(p + 72)*(p + 413)/7
Determine j, given that 3267*j**3 + 502722*j**2 - 60972*j + 1848 = 0.
-154, 2/33
Solve -21025*j**5/2 + 336690*j**4 - 9282*j**3 + 64*j**2 = 0 for j.
0, 2/145, 32
Find w, given that 3*w**4 + 438*w**3 - 98700*w**2 + 3854664*w - 7318080 = 0.
-280, 2, 66
Factor 5*p**2 + 437220*p - 437225.
5*(p - 1)*(p + 87445)
Factor 3*g**3/2 - 22725*g**2/2 + 43046829*g/2 - 43024107/2.
3*(g - 3787)**2*(g - 1)/2
Factor -4*t**3 + 5496*t**2 - 16460*t + 10968.
-4*(t - 1371)*(t - 2)*(t - 1)
Factor -q**2/6 + 2309*q/6 - 2303.
-(q - 2303)*(q - 6)/6
Solve 55*i**4 + 17755*i**3 - 301550*i**2 + 54240*i = 0 for i.
-339, 0, 2/11, 16
Solve -5*o**4 + 174450*o**3 - 1521291185*o**2 - 6087258300*o - 6087956180 = 0 for o.
-2, 17447
Let g**4/4 - 2715*g**3/2 = 0. What is g?
0, 5430
Factor 2*n**3/5 - 1384*n**2/5 + 10976*n/5 - 21888/5.
2*(n - 684)*(n - 4)**2/5
Determine x, given that -75*x**4 - 1440*x**3 - 9882*x**2 - 28512*x - 29403 = 0.
-33/5, -3
Factor -3*z**3 + 5037*z**2 + 60876*z.
-3*z*(z - 1691)*(z + 12)
Find t, given that 4*t**2 - 547740*t - 2738800 = 0.
-5, 136940
Find b, given that -2*b**5/9 - 106*b**4/9 - 1340*b**3/9 + 668*b**2/3 + 846*b + 486 = 0.
-27, -1, 3
Let -2*w**4 - 2928*w**3 - 17442*w**2 + 78732*w = 0. Calculate w.
-1458, -9, 0, 3
Factor j**3/7 - 2755*j**2/7 - 394*j + 5512/7.
(j - 2756)*(j - 1)*(j + 2)/7
Factor -2*f**3/19 - 110*f**2 - 690886*f/19 - 69649678/19.
-2*(f + 191)*(f + 427)**2/19
Find h such that 3*h**5 + 264*h**4 - 4101*h**3 + 18414*h**2 - 25596*h + 11016 = 0.
-102, 1, 6
Determine v, given that -v**3/6 - 13*v**2/3 + 11*v/2 + 27 = 0.
-27, -2, 3
Suppose 4*s**5 + 21968*s**4 - 219984*s**3 + 528104*s**2 - 484148*s + 154056 = 0. What is s?
-5502, 1, 7
Determine k, given that 3*k**3/4 + 111*k**2/2 - 140547*k/4 + 70161/2 = 0.
-257, 1, 182
Factor -18966*k**3 - 9459*k**2 + 12*k.
-3*k*(2*k + 1)*(3161*k - 4)
Determine h so that h**3 + 1768*h**2 + 788480*h + 6195200 = 0.
-880, -8
Factor -q**5/3 + 136*q**4/3 - 2018*q**3 + 97240*q**2/3 - 511225*q/3.
-q*(q - 55)**2*(q - 13)**2/3
Factor -2*b**3/11 + 9414*b**2/11 - 11054352*b/11 - 55507360/11.
-2*(b - 2356)**2*(b + 5)/11
Determine z, given that 5*z**3 + 126115*z**2 + 378310*z + 252200 = 0.
-25220, -2, -1
Factor 6*m**3 + 22676*m**2 + 52878*m.
2*m*(m + 3777)*(3*m + 7)
What is i in i**5/3 - 103*i**4/3 + 2273*i**3/3 - 13241*i**2/3 + 6690*i - 3000 = 0?
1, 6, 20, 75
Let 16*m**4 + 380*m**3 - 1824*m**2 + 2224*m - 448 = 0. Calculate m.
-28, 1/4, 2
Factor -6*h**4 - 51619*h**3 - 148014612*h**2 - 141419714832*h + 117952580160.
-(h + 2868)**3*(6*h - 5)
Let -10*a**3/3 - 64156*a**2 - 346406*a/3 + 25660 = 0. Calculate a.
-19245, -2, 1/5
Solve -4*u**5 + 1144*u**4 - 113716*u**3 + 4564560*u**2 - 63680400*u = 0.
0, 38, 105
Let -l**2/3 + 44870*l/3 - 503329225/3 = 0. Calculate l.
22435
Factor -w**2 - 15831*w - 15830.
-(w + 1)*(w + 15830)
Factor q**4/2 - 88175*q**3/2 - 44088*q**2.
q**2*(q - 88176)*(q + 1)/2
Factor -4*t**5 - 12540*t**4 + 455328*t**3 - 4109616*t**2.
-4*t**2*(t - 18)**2*(t + 3171)
Determine l, given that -l**4/6 + 13*l**3/2 + 233*l**2/6 - 193*l/2 + 154/3 = 0.
-7, 1, 44
Find w, given that w**2/5 - 299*w/5 + 4794/5 = 0.
17, 282
Factor 2*l**2/9 - 1094*l/3 + 13096/9.
2*(l - 1637)*(l - 4)/9
Solve 85*x**4/3 - 14525*x**3/3 - 10345*x**2 - 18155*x/3 - 1730/3 = 0 for x.
-1, -2/17, 173
Let -z**5/9 - 50*z**4/9 - 826*z**3/9 - 1504*z**2/3 + 323*z + 6498 = 0. What is z?
-19, -9, -6, 3
Let -5*h**3 + 25120*h**2 - 75325*h + 50210 = 0. Calculate h.
1, 2, 5021
Factor -n**5 + 24*n**4 + 52*n**3 + 2*n**2 - 51*n - 26.
-(n - 26)*(n - 1)*(n + 1)**3
Factor -5*p**2 + 3530*p - 3525.
-5*(p - 705)*(p - 1)
Let 3*n**5 + 423*n**4 + 1662*n**3 + 2478*n**2 + 1647*n + 411 = 0. Calculate n.
-137, -1
Find n such that 2*n**4 - 132*n**3 + 2520*n**2 - 11772*n + 16038 = 0.
3, 27, 33
What is j in 5*j**5 + 670*j**4 + 9015*j**3 + 10190*j**2 - 61880*j = 0?
-119, -13, -4, 0, 2
Determine v, given that -2*v**2 + 22524*v - 22522 = 0.
1, 11261
Factor -2*w**2/5 + 186878*w/5 + 560652/5.
-2*(w - 93442)*(w + 3)/5
Factor 2*c**2/13 + 4386*c/13 + 4384/13.
2*(c + 1)*(c + 2192)/13
Factor 3*n**3 - 7716*n**2 + 23127*n - 15414.
3*(n - 2569)*(n - 2)*(n - 1)
Find n such that -98*n**4/5 + 2438*n**3/5 - 13714*n**2/5 - 18278*n/5 - 2028/5 = 0.
-1, -6/49, 13
Factor 2*a**3 + 178*a**2 + 4928*a + 43560.
2*(a + 22)**2*(a + 45)
What is k in -2*k**2/3 + 458*k - 45640/3 = 0?
35, 652
Factor -p**4 + 9784*p**3 + 146937*p**2 + 470416*p - 627136.
-(p - 9799)*(p - 1)*(p + 8)**2
Factor -m**4/3 - 42130*m**3/3 - 443944825*m**2/3 - 1478763000*m - 3696030000.
-(m + 5)**2*(m + 21060)**2/3
Suppose 2*s**5 + 130*s**4 + 1386*s**3 - 9370*s**2 - 22388*s - 11760 = 0. What is s?
-49, -20, -1, 6
Factor -2*h**3 + 400*h**2 + 5066*h + 4664.
-2*(h - 212)*(h + 1)*(h + 11)
What is d in 6*d**4/7 + 32964*d**3/7 + 32958*d**2/7 = 0?
-5493, -1, 0
Factor x**2/4 - 10885*x/2.
x*(x - 21770)/4
Determine y, given that y**4 - 422*y**3 + 36968*y**2 + 1663910*y - 1700457 = 0.
-33, 1, 227
Solve -3*y**5 + 1302*y**4 - 8958*y**3 - 3912*y**2 + 29505*y - 17934 = 0 for y.
-2, 1, 7, 427
Solve -5*s**4/2 - 84965*s**3 - 721565120*s**2 + 5778725045*s + 13000410405/2 = 0.
-16997, -1, 9
Let -3*q**3 + 511746*q**2 - 21824175780*q + 43646304600 = 0. What is q?
2, 85290
Factor 2*k**3 + 472*k**2 + 1390*k - 1864.
2*(k - 1)*(k + 4)*(k + 233)
Determine b, given that b**2/8 + 64129*b/8 - 160335/4 = 0.
-64134, 5
Suppose -512*g**5 + 4776768*g**4 - 11140467858*g**3 - 4178179260*g**2 - 391720050*g = 0. What is g?
-3/16, 0, 4665
Factor 4*p**3 + 2004*p**2 - 8100*p - 10100.
4*(p - 5)*(p + 1)*(p + 505)
Factor -4*l**2 + 2616*l + 301600.
-4*(l - 754)*(l + 100)
What is a in -a**3/3 + 33*a**2 + 865*a/3 - 321 = 0?
-9, 1, 107
Factor -c**2/4 + 1726*c - 2979076.
-(c - 3452)**2/4
Let 28322*n**2 + 148512*n + 194688 = 0. Calculate n.
-312/119
Factor 10*z**3 - 1802634*z**2 + 3605262*z/5 - 360526/5.
2*(z - 180263)*(5*z - 1)**2/5
Suppose -2*r**2/13 + 512*r/13 + 514/13 = 0. What is r?
-1, 257
Suppose -24161*x**3/7 - 48320*x**2/7 - 3451*x + 2/7 = 0. Calculate x.
-1, 2/24161
Suppose -b**5/2 + 57*b**4/2 - 283*b**3/2 - 1233*b**2/2 + 1546*b - 816 = 0. Calculate b.
-4, 1, 8, 51
Suppose -2*o**2/7 - 14380*o/7 - 43122/7 = 0. Calculate o.
-7187, -3
Determine f so that -36*f**5/5 + 18688*f**4/5 - 1968*f**3/5 - 56136*f**2/5 + 43604*f/5 - 4152/5 = 0.
-2, 1/9, 1, 519
Suppose -45*f**4 - 175920*f**3 - 172049720*f**2 - 229165120*f - 76362320 = 0. Calculate f.
-1954, -2/3
Factor -2*d**4 - 94*d**3 - 856*d**2 + 952*d.
-2*d*(d - 1)*(d + 14)*(d + 34)
Suppose 5*h**4 + 2845*h**3 + 8485*h**2 - 2845*h - 8490 = 0. Calculate h.
-566, -3, -1, 1
Find u such that -2*u**5/9 - 17798*u**4/9 - 35582*u**3/9 + 53398*u**2/9 + 142360*u/9 + 71176/9 = 0.
-8897, -2, -1, 2
Factor 3*u**3 + 4680*u**2 + 124089*u - 128772.
3*(u - 1)*(u + 28)*(u + 1533)
Factor -215*j**2/8 + 3441*j/2 - 32.
-(j - 64)*(215*j - 4)/8
Solve -16*f**4/5 - 422*f**3/5 + 51428*f**2/5 - 82032*f/5 - 38016/5 = 0.
-72, -3/8, 2, 44
Solve 2*x**3/15 - 57094*x**2/5 - 171284*x/15 = 0 for x.
-1, 0, 85642
Solve 25*t**3/2 - 14030*t**2 + 308110*t - 121000 = 0 for t.
2/5, 22, 1100
Solve -4*x**2 + 532*x - 4920 = 0.
10, 123
Factor -3*l**3 - 994449*l**2 - 82411231689*l - 82410237243.
-3*(l + 1)*(l + 165741)**2
Factor 3*c**2/4 + 207*c/2 - 6348.
3*(c - 46)*(c + 184)/4
Factor k**3 - 487*k**2 + 78880*k - 4248300.
(k - 170)**2*(k - 147)
Factor 4*o**3 - 2916*o.
4*o*(o - 27)*(o + 27)
Determine z, given that 2*z**5/13 - 64*z**4/13 + 434*z**3/13 + 412*z**2/13 - 5768*z/13 - 8624/13 = 0.
-2, 7, 22
Factor 7*v**3 - 52061*v**2 + 2189004*v - 621180.
(v - 7395)*(v - 42)*(7*v - 2)
Let 5*h**4 + 175*h**3 + 1060*h**2 - 7360*h = 0. What is h?
-23, -16, 0, 4
Solve 3*a**2 - 3216*a + 50688 = 0.
16, 1056
Factor -98*v**3/3 + 48874*v