3 + 900*l**2 + 4400*l = 0.
-220, -5, 0
Factor -3*c**4 + 3*c**3 + 870*c**2 + 864*c.
-3*c*(c - 18)*(c + 1)*(c + 16)
Solve -2*y**3/9 - 133168*y**2/9 - 246316410*y - 492573636 = 0.
-33291, -2
Factor 4*k**2 - 252*k + 2744.
4*(k - 49)*(k - 14)
Determine r, given that -2*r**4/13 + 180*r**3/13 + 2192*r**2/13 + 3084*r/13 - 5454/13 = 0.
-9, -3, 1, 101
What is u in -59829*u**2/5 + 3692*u/5 - 4/5 = 0?
2/1813, 2/33
Factor -3*d**3 - 2664*d**2 - 787815*d - 77582850.
-3*(d + 278)*(d + 305)**2
Factor 4*f**2 + 69200*f + 299290000.
4*(f + 8650)**2
Factor n**2/7 + 52*n/7 + 667/7.
(n + 23)*(n + 29)/7
Find i, given that 3*i**2 + 3249474*i + 879923439723 = 0.
-541579
Find x, given that x**3 - 510*x**2 + 497*x + 6108 = 0.
-3, 4, 509
Factor -m**3/4 + 2679*m**2/4 - 5355*m/4 + 2677/4.
-(m - 2677)*(m - 1)**2/4
Solve 4*z**5/7 - 536*z**4 + 894568*z**3/7 - 6833520*z**2/7 - 20004300*z/7 + 25947000/7 = 0.
-3, 1, 10, 465
Find f, given that -48*f**4/7 + 35544*f**3/7 - 17763*f**2/7 + 2220*f/7 = 0.
0, 1/4, 740
Find y, given that 5*y**3 - 845*y**2 = 0.
0, 169
Solve y**4 + 9997*y**3 - 80059*y**2 - 190105*y - 100050 = 0 for y.
-10005, -1, 10
Suppose 4*i**4 - 752*i**3 - 4716*i**2 + 11672*i - 6208 = 0. Calculate i.
-8, 1, 194
Let -2*h**4/3 + 112*h**3/3 - 1406*h**2/3 = 0. What is h?
0, 19, 37
Solve 14*s**5/13 + 4770*s**4/13 + 22268*s**3/13 + 30936*s**2/13 + 8048*s/13 - 5376/13 = 0.
-336, -2, -1, 2/7
Factor -2*z**2 - 342*z + 3620.
-2*(z - 10)*(z + 181)
Let -2*j**5/9 - 34*j**4/9 - 2*j**3/9 + 478*j**2/3 + 156*j = 0. Calculate j.
-13, -9, -1, 0, 6
Determine g so that 4*g**5 + 29768*g**4 + 89280*g**3 + 89272*g**2 + 29756*g = 0.
-7439, -1, 0
Determine z so that z**2/3 - 3983*z/3 + 3982/3 = 0.
1, 3982
Find f, given that -2*f**2 + 486*f - 15912 = 0.
39, 204
Factor -v**2/2 + 526738*v - 138726460322.
-(v - 526738)**2/2
What is c in -2*c**2/7 - 3374036*c/7 - 1423014866162/7 = 0?
-843509
Factor 2*f**3/9 + 7598*f**2/9 + 2368256*f/3 - 23608552.
2*(f - 29)*(f + 1914)**2/9
Factor 5*r**3 - 81885*r**2 - 20*r + 327540.
5*(r - 16377)*(r - 2)*(r + 2)
Factor -d**3/4 + 897*d**2/4 + 7233*d/4 + 6335/4.
-(d - 905)*(d + 1)*(d + 7)/4
Solve -x**4/2 + 79*x**3/2 - 319*x**2 + 280*x = 0 for x.
0, 1, 8, 70
Factor 3*f**4 - 1275*f**3 - 11637*f**2 - 35073*f - 35154.
3*(f - 434)*(f + 3)**3
Solve 5*s**5 - 395*s**4 + 695*s**3 + 5775*s**2 = 0 for s.
-3, 0, 5, 77
Factor 24*i**2 - 204884*i - 34148.
4*(i - 8537)*(6*i + 1)
Factor x**2/2 + 389*x - 15143/2.
(x - 19)*(x + 797)/2
Find j such that 4*j**3 + 628*j**2/3 + 252*j - 1020 = 0.
-51, -3, 5/3
Determine j so that j**2 - 38649*j - 77302 = 0.
-2, 38651
Factor j**4/6 - 283987*j**3/6 + 851943*j**2/2 - 2555811*j/2 + 1277901.
(j - 283978)*(j - 3)**3/6
Factor -2*z**3/11 + 45704*z**2/11 + 91416*z/11.
-2*z*(z - 22854)*(z + 2)/11
Factor 4*l**2 + 36392*l/5 - 2912.
4*(l + 1820)*(5*l - 2)/5
Factor 3*a**4 + 33090*a**3 + 91311831*a**2 + 364850340*a + 364718028.
3*(a + 2)**2*(a + 5513)**2
Factor -4*y**3/3 + 14388*y**2.
-4*y**2*(y - 10791)/3
What is x in 4*x**2 + 25729*x + 6432 = 0?
-6432, -1/4
Find x, given that -3*x**2/7 - 2583*x - 90330/7 = 0.
-6022, -5
Find z such that -5*z**4 + 2070*z**3 + 2075*z**2 = 0.
-1, 0, 415
Factor u**2/4 + 2865*u/4.
u*(u + 2865)/4
Solve -w**4 + 110394*w**3 - 3046377609*w**2 - 18281246400*w - 27423360000 = 0 for w.
-3, 55200
Suppose n**5 - 41*n**4 + 452*n**3 - 592*n**2 - 1824*n + 3024 = 0. What is n?
-2, 2, 18, 21
Factor 4*z**2 - 201988*z.
4*z*(z - 50497)
Find m such that 395*m**4/3 + 2380*m**3/3 + 4405*m**2/3 + 2480*m/3 + 20 = 0.
-3, -2, -1, -2/79
Determine z so that -z**3/3 + 38206*z**2/3 + 152837*z/3 + 38210 = 0.
-3, -1, 38210
Solve -72*r**5 - 1408*r**4 - 6190*r**3/3 - 7738*r**2/9 - 1264*r/9 - 8 = 0.
-18, -1, -2/9, -1/6
Determine w, given that -2*w**2/3 + 350*w/3 = 0.
0, 175
Factor y**2/4 + 10*y + 231/4.
(y + 7)*(y + 33)/4
Suppose -2*a**3 - 41651*a**2/2 + 26035*a = 0. What is a?
-10414, 0, 5/4
Suppose 5*q**4 - 15425*q**3 + 11826815*q**2 + 107694405*q = 0. Calculate q.
-9, 0, 1547
Factor m**2/2 - 5356*m - 10713/2.
(m - 10713)*(m + 1)/2
Determine y so that -2*y**4 + 1968*y**3 - 28734*y**2 - 324848*y - 713184 = 0.
-4, 23, 969
Let 3*d**4 + 156*d**3 - 6699*d**2 + 55248*d - 48708 = 0. Calculate d.
-82, 1, 11, 18
Suppose 5*q**3 - 80*q**2 + 415*q - 700 = 0. Calculate q.
4, 5, 7
Determine p so that -2*p**2/15 + 220384*p/3 - 30355692160/3 = 0.
275480
Factor -2*s**4 + 60*s**3 - 474*s**2 - 56*s + 5880.
-2*(s - 14)**2*(s - 5)*(s + 3)
Find l such that -5*l**2 + 5*l + 280 = 0.
-7, 8
Factor 4*l**4 - 316*l**3.
4*l**3*(l - 79)
Solve 969*l**2 - 2901*l - 18 = 0 for l.
-2/323, 3
Find q such that 8*q**2 + 48412*q - 24208 = 0.
-6052, 1/2
Determine p so that 4*p**5 + 1572*p**4 + 49292*p**3 + 167580*p**2 - 157248*p - 775440 = 0.
-359, -30, -3, 2
Determine x so that x**4/8 + 6*x**3 + 641*x**2/8 + 801*x/4 + 126 = 0.
-24, -21, -2, -1
Suppose -50*h**2 + 279*h - 22 = 0. Calculate h.
2/25, 11/2
Determine a so that a**5 + 85420*a**4 + 1824144097*a**3 - 256262*a**2 - 5472603140*a - 3648288200 = 0.
-42710, -1, 2
Suppose 39*o**3 + 138873*o**2 - 299280*o + 42756 = 0. Calculate o.
-3563, 2/13, 2
Suppose -v**5/4 - 1077*v**4/4 + 2173*v**3/2 + 11889*v**2/2 - 4345*v/4 - 22701/4 = 0. What is v?
-1081, -3, -1, 1, 7
Suppose -57*s**2 + 10554*s + 10611 = 0. Calculate s.
-1, 3537/19
Factor r**3/3 + 6799*r**2/3 + 135680*r/3 + 677900/3.
(r + 10)**2*(r + 6779)/3
What is v in v**3/8 - 745*v**2/8 + 21127*v/2 - 41511/2 = 0?
2, 137, 606
Solve 2*i**5/5 + 28016*i**4/5 - 28018*i**3/5 = 0 for i.
-14009, 0, 1
Let -4*c**5/3 + 325*c**4 + 2449*c**3/6 + 41*c**2 - 245*c/6 = 0. Calculate c.
-1, -1/2, 0, 1/4, 245
Find u, given that 2*u**5/9 + 130*u**4/9 + 1294*u**3/9 - 2986*u**2/9 + 520*u/3 = 0.
-52, -15, 0, 1
Factor 2*n**3 + 2210*n**2 + 700304*n + 47622696.
2*(n + 93)*(n + 506)**2
Find k such that -18*k**4/13 + 98*k**3/13 + 488*k**2/13 - 2968*k/13 + 2400/13 = 0.
-50/9, 1, 4, 6
Suppose 21*h**2 + 20928*h - 8973 = 0. What is h?
-997, 3/7
Factor -2*m**4 + 110*m**3 - 696*m**2 + 1152*m.
-2*m*(m - 48)*(m - 4)*(m - 3)
Determine y so that -2*y**4/3 - 612*y**3 - 3656*y**2/3 + 2448*y + 14656/3 = 0.
-916, -2, 2
Find q, given that -2*q**5/11 + 4*q**4/11 + 30*q**3/11 - 80*q**2/11 - 8*q/11 + 96/11 = 0.
-4, -1, 2, 3
Determine u so that 3*u**2 + 3006*u = 0.
-1002, 0
Solve 4*s**4/9 - 1928*s**3/9 + 69340*s**2/3 + 5861504*s/9 + 35845040/9 = 0 for s.
-14, -10, 253
Factor 3*t**3 - 447*t**2 + 13737*t - 120213.
3*(t - 111)*(t - 19)**2
Factor 4*p**2 - 608583*p - 152146.
(p - 152146)*(4*p + 1)
Suppose 1451*o**3/5 + 3773*o**2 + 52262*o/5 + 72/5 = 0. What is o?
-9, -4, -2/1451
Factor 1725*y**3 + 15519*y**2 + 13746*y - 48.
3*(y + 1)*(y + 8)*(575*y - 2)
Determine s, given that s**4/6 - 14464*s**3/3 - 14465*s**2/3 + 14464*s/3 + 9643/2 = 0.
-1, 1, 28929
Factor -2*g**3/7 + 7978*g**2/7 - 1136010*g - 1137150.
-2*(g - 1995)**2*(g + 1)/7
Factor m**2 - 12609*m.
m*(m - 12609)
Solve -2*b**4/5 + 902*b**3 + 63468*b**2/5 + 145472*b/5 - 580864/5 = 0 for b.
-8, 2, 2269
Find w, given that -w**4/2 - 40417*w**3 - 121248*w**2 - 121247*w - 80831/2 = 0.
-80831, -1
Let -2*s**3/11 - 3748*s**2/11 - 3726*s = 0. Calculate s.
-1863, -11, 0
Factor -3*v**2 - 2233998*v - 415895588667.
-3*(v + 372333)**2
Factor -k**3/2 - 19673*k**2/2 - 48422600*k - 435007008.
-(k + 9)*(k + 9832)**2/2
What is k in -5*k**3 - 1620*k**2 - 65995*k + 67620 = 0?
-276, -49, 1
Solve -3*b**3 - 312*b**2 + 4431*b + 29580 = 0.
-116, -5, 17
Suppose -3*y**2 - 102*y + 46761 = 0. Calculate y.
-143, 109
Factor 6*c**4 + 22918*c**3/3 + 5092*c**2/3.
2*c**2*(c + 1273)*(9*c + 2)/3
Determine n so that 5*n**3/9 + 278*n**2/9 - 991*n/9 + 236/3 = 0.
-59, 1, 12/5
Find n, given that -2*n**2 + 932070*n = 0.
0, 466035
Suppose -5*d**4 + 217*d**3 + 1874*d**2 + 3296*d - 1632 = 0. Calculate d.
-4, 2/5, 51
Factor -375*n**4 + 60396*n**3 - 3381*n**2.
-3*n**2*(n - 161)*(125*n - 7)
Determine l, given that -1654104*l**4 - 2077716*l**3 - 459774*l**2 - 37191*l - 1029 = 0.
-1, -7/82
Solve 116*z**4 - 392*z**3 + 480*z**2 - 248*z + 44 = 0 for z.
11/29, 1
Solve -2*f**3/5 - 13304*f**2/5 + 13306*f/5 = 0.
-6653, 0, 1
Solve -3*o**4/2 - 26292*o**3 - 114499473*o**2 + 6240590244*o - 169015036347/2 = 0 for o.
-8791, 27
Factor -4*j**3 - 6184*j**2.
-4*j**2*(j + 1546)
Determine s so that s**2 - 272692*s + 18590231716 = 0.
136346
Suppose -2*v**3 + 266*v**2 + 