-(y + 13)*(y + 1605)/4
Determine w so that 4*w**4 - 620344*w**3 + 24051047044*w**2 + 48103955136*w + 24052287744 = 0.
-1, 77544
Find g, given that 15*g**5/4 - 2825*g**4/4 - 2045*g**3/4 + 29465*g**2/4 - 16085*g/2 + 1890 = 0.
-4, 1/3, 1, 2, 189
Solve 1341*j**4/2 - 4025*j**3/2 - 2679*j**2 + 8050*j - 12 = 0 for j.
-2, 2/1341, 2, 3
Suppose 2*n**5/3 - 58*n**4 + 1676*n**3 - 56000*n**2/3 + 41984*n + 344064 = 0. Calculate n.
-3, 16, 42
Factor 5*h**3 + 1260*h**2 - 118625*h.
5*h*(h - 73)*(h + 325)
Find o, given that -7*o**3/4 + 901*o**2/4 + 23789*o/2 + 3380 = 0.
-40, -2/7, 169
Determine z, given that z**3 - 3332*z**2 + 52999*z + 189012 = 0.
-3, 19, 3316
Factor 5*u**4 - 1375*u**3 - 17040*u**2 - 51660*u.
5*u*(u - 287)*(u + 6)**2
Find x, given that 4*x**4/9 + 1537*x**3/9 + 4160*x**2/3 + 27088*x/9 + 6016/9 = 0.
-376, -4, -1/4
Find a such that -55*a**4 - 115825*a**3 - 60973915*a**2 + 5649345*a + 55440450 = 0.
-1053, -10/11, 1
Factor 42*t**3 - 543*t**2 - 1647*t + 5130.
3*(t - 15)*(t - 2)*(14*t + 57)
Factor 4*w**3 + 3872*w**2 - 4*w - 3872.
4*(w - 1)*(w + 1)*(w + 968)
Suppose o**3 + 8501*o**2 - 34016*o + 34020 = 0. What is o?
-8505, 2
Factor -3*l**5 + 222*l**4 - 840*l**3 - 48*l**2 + 3408*l - 3360.
-3*(l - 70)*(l - 2)**3*(l + 2)
Determine i, given that -3*i**2 - 5835*i + 29250 = 0.
-1950, 5
Factor 2*u**2/5 + 248*u/5 + 3456/5.
2*(u + 16)*(u + 108)/5
Factor -5*z**4 - 20580*z**3 - 18905670*z**2 + 4674026700*z - 257906116125.
-5*(z - 105)**2*(z + 2163)**2
Factor 3*v**2 - 130653*v + 261294.
3*(v - 43549)*(v - 2)
Factor 5*j**2 + 6795*j - 34100.
5*(j - 5)*(j + 1364)
Factor -4*b**4 - 3220*b**3 - 949344*b**2 - 120350464*b - 5444405248.
-4*(b + 109)*(b + 232)**3
What is k in -2*k**4/5 - 3063912*k**3/5 - 1564592790624*k**2/5 - 266320812572575616*k/5 = 0?
-510652, 0
Find o such that -59*o**2/2 + 26075*o/4 + 663/4 = 0.
-3/118, 221
Let 2*s**2 + 868*s + 13376 = 0. Calculate s.
-418, -16
Suppose t**2 + 57652*t - 57653 = 0. Calculate t.
-57653, 1
Determine m, given that -5*m**4 - 18580*m**3 - 92790*m**2 - 55620*m + 166995 = 0.
-3711, -3, 1
Factor -3*r**3 - 2304*r**2 - 243837*r + 246144.
-3*(r - 1)*(r + 128)*(r + 641)
Determine r so that 2*r**2 + 276832*r - 553672 = 0.
-138418, 2
Factor 4*k**3 + 4688*k**2 + 1766912*k + 210128896.
4*(k + 244)*(k + 464)**2
Factor 2*a**3/15 + 76*a**2/15 + 226*a/5 - 252/5.
2*(a - 1)*(a + 18)*(a + 21)/15
Factor -2*u**3/21 + 14534*u**2/3 - 1293166030*u/21 - 16828356506/21.
-2*(u - 25441)**2*(u + 13)/21
Factor -2*u**2/9 + 998*u/9 - 3896/3.
-2*(u - 487)*(u - 12)/9
Solve -3*q**4/8 - 645*q**3/8 + 2631*q**2/8 + 645*q/8 - 657/2 = 0.
-219, -1, 1, 4
Factor -6*y**3 - 307*y**2 + 2371*y - 4188.
-(y - 4)*(y - 3)*(6*y + 349)
Suppose 45*l**5 + 30*l**4 - 1930*l**3 + 600*l**2 + 1045*l + 210 = 0. Calculate l.
-7, -1/3, 1, 6
Factor -123*m**2 + 108*m.
-3*m*(41*m - 36)
Factor -18*p**2 + 818*p - 360.
-2*(p - 45)*(9*p - 4)
Factor 5*q**4/6 - 194365*q**3/6 + 629596825*q**2/2 + 629661615*q/2.
5*q*(q - 19437)**2*(q + 1)/6
Suppose 3*t**3/8 - 11979*t**2/8 - 18009*t - 108135/2 = 0. What is t?
-6, 4005
Solve -q**4/2 - 145339*q**3 - 21124296937*q**2/2 - 63368966712*q - 95051488032 = 0 for q.
-145336, -3
Determine y so that 2*y**5/3 + 316*y**4/3 + 3032*y**3 + 17252*y**2/3 + 8470*y/3 = 0.
-121, -35, -1, 0
Let 2*m**3/11 - 7778*m**2/11 + 7764*m/11 + 46656/11 = 0. Calculate m.
-2, 3, 3888
Factor 2*z**2/7 + 17582*z/7 - 2512.
2*(z - 1)*(z + 8792)/7
Factor -3*h**3 + 225*h**2 - 1257*h + 1035.
-3*(h - 69)*(h - 5)*(h - 1)
Factor -4*f**2/7 - 268449*f/7 - 67112/7.
-(f + 67112)*(4*f + 1)/7
Find l, given that -2*l**2/15 + 562*l/15 + 572/3 = 0.
-5, 286
Find q such that -q**5/2 - 4155*q**4/2 - 24903*q**3/2 - 37341*q**2/2 = 0.
-4149, -3, 0
Let 2*k**4 + 436*k**3 - 5576*k**2 - 12880*k = 0. What is k?
-230, -2, 0, 14
Find m such that 17*m**4/3 - 253*m**3/3 - 10*m**2 + 8500*m/3 + 1000/3 = 0.
-5, -2/17, 10
Let -14*o**4/5 + 8888*o**3/5 + 211464*o**2/5 + 1138752*o/5 - 1137024/5 = 0. What is o?
-12, 6/7, 658
Suppose -18492*r**5 + 4551*r**4 + 73986*r**3 - 18204*r**2 - 72*r = 0. Calculate r.
-2, -6/1541, 0, 1/4, 2
Factor -3*x**2/5 - 342*x/5 + 2697.
-3*(x - 31)*(x + 145)/5
Factor -5*v**2 - 71370*v - 254683845.
-5*(v + 7137)**2
Solve 2*b**4/11 + 144*b**3 + 1582*b**2/11 = 0.
-791, -1, 0
Factor -3*k**3 + 10095*k**2 - 150858*k + 361800.
-3*(k - 3350)*(k - 12)*(k - 3)
Factor n**2/3 - 39065*n/3 - 78134/3.
(n - 39067)*(n + 2)/3
Solve -g**3/6 + 4*g**2/3 + 9890*g + 901416 = 0 for g.
-138, 284
Factor 3*c**2/7 + 1482*c/7 + 183027/7.
3*(c + 247)**2/7
Solve -2*h**3/7 + 40*h**2/7 + 482*h/7 + 1160/7 = 0 for h.
-5, -4, 29
Factor 3*t**3/7 - 2448*t**2/7 - 12*t/7 + 9792/7.
3*(t - 816)*(t - 2)*(t + 2)/7
Suppose -241*w**5/2 - 1806*w**4 + 12577*w**3/2 - 4416*w**2 + 54*w = 0. What is w?
-18, 0, 3/241, 1, 2
Let 2*v**3/3 - 7778*v**2/3 + 7650814*v/3 - 171878494/3 = 0. Calculate v.
23, 1933
Factor 9663597*a**5 - 143184564*a**4 - 26432874*a**3 - 1617668*a**2 - 32955*a.
a*(a - 15)*(213*a + 13)**3
Determine i, given that -4*i**5 + 112*i**4 + 4128*i**3 + 27432*i**2 + 66852*i + 55080 = 0.
-15, -3, -2, 51
Factor -2*f**3/9 + 182*f**2/9 - 5518*f/9 + 55738/9.
-2*(f - 31)**2*(f - 29)/9
Find u such that -2*u**2/9 + 380*u/9 - 1232 = 0.
36, 154
Factor -2*h**2/11 - 468*h + 5150/11.
-2*(h - 1)*(h + 2575)/11
Factor 3*y**3/5 - 170586*y**2/5 + 484924815*y + 9701225868/5.
3*(y - 28433)**2*(y + 4)/5
Factor 1205339524*z**2 + 7915704*z + 12996.
4*(17359*z + 57)**2
Factor -4*g**3 - 1504*g**2 - 53916*g - 52416.
-4*(g + 1)*(g + 39)*(g + 336)
Determine x, given that 3*x**2/4 + 5319*x/2 - 10641/4 = 0.
-3547, 1
Determine p, given that 3*p**5 + 558*p**4 + 28608*p**3 + 249312*p**2 + 760320*p + 743424 = 0.
-88, -4, -2
Suppose x**5/5 + 51*x**4 + 2658*x**3/5 - 6344*x**2/5 = 0. What is x?
-244, -13, 0, 2
Factor 5*y**2/2 + 1876167*y/2 + 375233.
(y + 375233)*(5*y + 2)/2
What is p in 4*p**5 - 576*p**4 + 1124*p**3 + 1736*p**2 - 4560*p + 2272 = 0?
-2, 1, 2, 142
Find j, given that 3*j**2 + 12069*j + 24126 = 0.
-4021, -2
Determine y, given that 3*y**2 - 11826*y + 35451 = 0.
3, 3939
Solve 2*i**2/9 - 21550*i/9 - 7184/3 = 0 for i.
-1, 10776
Suppose 8*p**5 + 108*p**4 + 400*p**3 + 60*p**2 - 1008*p + 432 = 0. Calculate p.
-6, -3, 1/2, 1
Find a, given that 2*a**4 + 3550*a**3/17 + 10412*a**2/17 + 6896*a/17 = 0.
-1724/17, -2, -1, 0
Solve -50*r**5/3 - 8390*r**4/9 + 37364*r**3/9 + 45584*r**2/9 - 15680*r/9 - 6400/3 = 0 for r.
-60, -4/5, 2/3, 5
Solve 4*m**4/13 - 782*m**3/13 - 396*m**2/13 + 782*m/13 + 392/13 = 0.
-1, -1/2, 1, 196
Find q such that q**2 - 194*q + 573 = 0.
3, 191
Determine a, given that -3830*a**3/7 + 2188*a**2 - 15304*a/7 - 16/7 = 0.
-2/1915, 2
What is f in -27*f**3 + 14946*f**2 + 6663*f - 8310 = 0?
-1, 5/9, 554
Factor 3*y**3/4 + 5313*y**2/4 + 57354*y + 626901.
3*(y + 22)**2*(y + 1727)/4
Factor -5*t**2 - 1151500*t - 1151495.
-5*(t + 1)*(t + 230299)
Determine t so that 4*t**3 - 2852*t**2 - 11472*t = 0.
-4, 0, 717
Factor 3*o**2 - 114048*o + 1083912192.
3*(o - 19008)**2
Suppose -2*r**4 + 3768*r**3 - 1774720*r**2 - 15072*r + 7098912 = 0. What is r?
-2, 2, 942
Let -4*x**2 - 3464*x + 13920 = 0. Calculate x.
-870, 4
What is y in -y**4 + 4*y**3 + 751*y**2 - 754*y = 0?
-26, 0, 1, 29
Solve 5*v**4/4 - 3045*v**3/2 + 1854405*v**2/4 = 0 for v.
0, 609
Let 1186*p**2/7 - 7118*p/7 + 12/7 = 0. Calculate p.
1/593, 6
Determine i, given that -2*i**5 + 398*i**4 + 812*i**3 - 1604*i**2 - 810*i + 1206 = 0.
-3, -1, 1, 201
Determine b, given that 3*b**3 + 1956*b**2 + 9687*b - 11646 = 0.
-647, -6, 1
Solve -2*v**2 + 7676*v - 137520 = 0.
18, 3820
Factor -5*m**2/2 + 1879*m/2 - 68508.
-(m - 99)*(5*m - 1384)/2
Determine n so that 2*n**4/5 + 4372*n**3/5 + 2398024*n**2/5 + 1907068*n + 7141686/5 = 0.
-1091, -3, -1
Let -4*w**4 + 852*w**3 + 6120*w**2 + 8800*w = 0. Calculate w.
-5, -2, 0, 220
Let -a**3/6 - 21482*a**2/3 + 85931*a/6 - 7161 = 0. Calculate a.
-42966, 1
Determine b so that -9*b**5/4 + 443*b**4/4 + 15679*b**3/4 - 3947*b**2/4 - 7835*b/2 + 876 = 0.
-24, -1, 2/9, 1, 73
Factor p**4 + 233*p**3 + 12813*p**2 + 193843*p - 440818.
(p - 2)*(p + 37)**2*(p + 161)
What is z in z**4/4 - 116*z**3 + 3456*z**2 = 0?
0, 32, 432
Solve -291*o**4 + 70*o**3 + 873*o**2 + 372*o - 140 = 0.
-1, 70/291, 2
Solve 5*f**2/4 + 745*f - 95040 = 0.
-704, 108
Suppose -r**2/4 + 33*r + 2205/4 = 0. What is r?
-15, 147
Factor -p**2/4 + 1920*