8*a**2 - 1381*a + 78.
(a - 6)*(228*a - 13)
Factor -2*w**3 + 896*w**2 - 113152*w + 2768896.
-2*(w - 208)**2*(w - 32)
Find x, given that 3*x**2 - 2784*x + 254925 = 0.
103, 825
Determine r, given that 35*r**3/3 - 1860*r**2 + 47035*r/3 + 17550 = 0.
-1, 10, 1053/7
Determine r, given that -2*r**5/9 - 4*r**4/3 + 452*r**3/9 - 824*r**2/9 - 50*r + 836/9 = 0.
-19, -1, 1, 2, 11
Solve -867*l**3/4 + 213*l**2 + 441*l = 0 for l.
-294/289, 0, 2
What is g in 5*g**2 - 5855*g + 1320650 = 0?
305, 866
Determine l so that -2*l**2/9 + 94*l/9 + 2740 = 0.
-90, 137
Let 2*b**2/7 + 1166*b/7 + 2592 = 0. Calculate b.
-567, -16
Determine v, given that 2*v**2/5 + 28652*v + 513085690 = 0.
-35815
Factor -3*c**3 + 690*c**2 + 1401*c - 2088.
-3*(c - 232)*(c - 1)*(c + 3)
Factor 27*m**3 + 82368*m**2 - 605121*m + 1110054.
3*(m + 3058)*(3*m - 11)**2
Find h, given that -4*h**4 + 17349*h**3 + 13015*h**2 - 4338*h = 0.
-1, 0, 1/4, 4338
Solve a**3/6 + 23*a**2/6 - 311*a/2 + 855/2 = 0 for a.
-45, 3, 19
Solve 3*t**3 - 312*t**2 + 8100*t = 0.
0, 50, 54
Factor -16*b**2 + 171460*b - 42864.
-4*(b - 10716)*(4*b - 1)
Factor 5*p**2 + 72880*p - 291600.
5*(p - 4)*(p + 14580)
Find a such that -3*a**4 - 89655*a**3 - 448161*a**2 + 1165299*a - 627480 = 0.
-29880, -7, 1
Factor 4*j**4 + 1152*j**3 - 16*j**2 - 4608*j.
4*j*(j - 2)*(j + 2)*(j + 288)
Factor -4*p**2 - 396*p - 8120.
-4*(p + 29)*(p + 70)
Let 2*o**2/3 - 39832*o + 594970584 = 0. Calculate o.
29874
Let -2*o**5/5 - 3092*o**4/5 - 1232*o**3 + 24704*o**2/5 = 0. Calculate o.
-1544, -4, 0, 2
Solve 28*b**4 + 8352*b**3 - 14500*b**2 - 30024*b - 7200 = 0.
-300, -1, -2/7, 3
Factor j**2/5 - 12468*j/5 + 38862756/5.
(j - 6234)**2/5
Find r, given that -r**4 - 7904*r**3 - 78952*r**2 - 94656*r + 568368 = 0.
-7894, -6, 2
Solve -b**2/3 - 1366*b - 56784 = 0.
-4056, -42
Solve 2*x**2/13 - 1606*x/13 + 233784/13 = 0.
191, 612
Factor -3*d**3/7 + 612*d**2/7 - 25740*d/7 + 308256/7.
-3*(d - 152)*(d - 26)**2/7
Determine x so that -4*x**4/5 - 44*x**3/5 - 24*x**2/5 + 576*x/5 = 0.
-8, -6, 0, 3
What is m in -2*m**3 - 4*m**2 + 217800*m + 435600 = 0?
-330, -2, 330
Find c such that -c**4/4 - 50*c**3 + 1039*c**2/4 + 1435*c/2 = 0.
-205, -2, 0, 7
Determine q so that 5*q**5/3 + 2184*q**4 + 9157*q**3/3 - 2618*q**2 = 0.
-1309, -2, 0, 3/5
Let -p**3/6 + 70*p**2/3 + 55144*p/3 - 3453088 = 0. What is p?
-348, 244
Factor 4*h**3/3 + 1260*h**2 - 2524*h + 3788/3.
4*(h - 1)**2*(h + 947)/3
Factor 3*y**2 + 1101*y + 34860.
3*(y + 35)*(y + 332)
Determine l so that -l**5/6 + 25*l**4/3 + 943*l**3/6 - 26896*l**2/3 = 0.
-32, 0, 41
Factor 2*s**4 + 962*s**3 - 5820*s**2 + 11672*s - 7792.
2*(s - 2)**3*(s + 487)
Factor -1426*j**2/13 - 4258*j/13 + 60/13.
-2*(j + 3)*(713*j - 10)/13
Factor l**2 - 512*l - 3108.
(l - 518)*(l + 6)
Determine g, given that 5*g**4 - 5120*g**3 - 591840*g**2 + 1969994240*g - 510156435200 = 0.
-620, 548
Find d, given that -2*d**2/11 + 724*d - 509210/11 = 0.
65, 3917
Factor 3*u**2/7 + 83376*u/7 + 83355.
3*(u + 7)*(u + 27785)/7
Factor 3*w**3 - 3144*w**2 - 3147*w.
3*w*(w - 1049)*(w + 1)
Factor l**2/2 + 966576*l + 467134581888.
(l + 966576)**2/2
Factor -62*t**4 - 16491*t**3 - 1096452*t**2 + 17689*t.
-t*(t + 133)**2*(62*t - 1)
Factor 2*y**3 - 564*y**2 + 20160*y + 3048192.
2*(y - 168)**2*(y + 54)
Suppose 2*t**5/5 + 172*t**4/5 + 504*t**3/5 + 100*t**2 + 166*t/5 = 0. What is t?
-83, -1, 0
Factor u**2/5 + 441*u/5 + 18864/5.
(u + 48)*(u + 393)/5
Factor -12*m**2/5 + 11637*m/5 + 49674/5.
-3*(m - 974)*(4*m + 17)/5
Factor s**2/6 + 6865*s/6 - 3433/3.
(s - 1)*(s + 6866)/6
Factor 4*l**2/5 + 21264*l/5 - 21284.
4*(l - 5)*(l + 5321)/5
What is t in -2*t**2/7 - 20*t/7 + 145750/7 = 0?
-275, 265
Determine n, given that 22*n**5/21 + 3132*n**4/7 - 18044*n**3/21 - 3704*n**2/7 + 18022*n/21 + 572/7 = 0.
-429, -1, -1/11, 1, 2
Suppose -10*n**5 - 218*n**4 + 258*n**3 + 674*n**2 - 248*n - 456 = 0. What is n?
-114/5, -1, 1, 2
Let -535*y**2 - 3220*y - 60 = 0. What is y?
-6, -2/107
Find b such that -3*b**2 - 1692*b + 6816 = 0.
-568, 4
Find p such that p**4/3 - 19*p**3/3 + 4*p**2 + 36*p = 0.
-2, 0, 3, 18
Factor -m**2/8 - 17403*m/8 - 8701/4.
-(m + 1)*(m + 17402)/8
Factor 5*m**2 + 29350*m - 58720.
5*(m - 2)*(m + 5872)
Factor -392*w**2 - 4156*w.
-4*w*(98*w + 1039)
Factor -6483584*z**4/5 + 329392352*z**3 - 33382584*z**2/5 + 225554*z/5 - 508/5.
-2*(z - 254)*(148*z - 1)**3/5
Solve -2*a**2/19 - 106*a/19 + 580/19 = 0 for a.
-58, 5
Factor -w**2 + 307*w - 12432.
-(w - 259)*(w - 48)
Factor 2*t**2 + 572*t - 44800.
2*(t - 64)*(t + 350)
Let 4*m**5 + 768*m**4 - 35816*m**3 - 438528*m**2 + 473572*m = 0. Calculate m.
-229, -11, 0, 1, 47
Determine q so that -2*q**4/19 + 1590*q**3/19 + 7988*q**2/19 + 9600*q/19 = 0.
-3, -2, 0, 800
Solve 3*a**4/7 + 417*a**3/7 + 13326*a**2/7 + 125808*a/7 + 16128 = 0 for a.
-98, -24, -16, -1
Let 2*c**2/11 + 5184*c/11 = 0. Calculate c.
-2592, 0
Find o such that 10*o**4/7 + 42*o**3 + 1656*o**2/7 + 88*o = 0.
-22, -7, -2/5, 0
Find t, given that -4*t**2 + 3740*t = 0.
0, 935
Determine q so that 2*q**2/7 - 2730*q - 421388/7 = 0.
-22, 9577
Factor -j**2/8 - 31221*j/8 - 62410.
-(j + 16)*(j + 31205)/8
Let -2*s**5/15 - 328*s**4/15 - 3008*s**3/15 + 11012*s**2/15 - 11678*s/15 + 4004/15 = 0. What is s?
-154, -13, 1
Solve -9*g**2 - 20*g + 4796 = 0 for g.
-218/9, 22
Factor -5*g**2 + 752920*g - 28344426320.
-5*(g - 75292)**2
Factor 5*z**5 + 2290*z**4 + 339120*z**3 + 14542910*z**2 - 251543045*z.
5*z*(z - 13)*(z + 157)**3
What is j in -3*j**4 - 204*j**3 - 1455*j**2 - 858*j + 2520 = 0?
-60, -7, -2, 1
What is k in k**4/4 - 11*k**3 - 3099*k**2 + 70840*k + 10368400 = 0?
-70, 92
Solve -15*f**4 + 16242*f**3 - 77643*f**2 + 28944*f + 174636 = 0 for f.
-6/5, 3, 1078
Let 3*d**3 - 15564*d**2 + 15561*d = 0. What is d?
0, 1, 5187
Factor -5*h**3 - 19955*h**2 + 5*h + 19955.
-5*(h - 1)*(h + 1)*(h + 3991)
What is a in -19*a**5 + 135*a**4 + 518*a**3 + 324*a**2 - 40*a = 0?
-2, -1, 0, 2/19, 10
Solve -2*o**4 - 1326*o**3 - 10520*o**2 - 26232*o - 20960 = 0 for o.
-655, -4, -2
Factor -b**3/9 + 148*b**2/9 + 2395*b/9 + 8150/9.
-(b - 163)*(b + 5)*(b + 10)/9
Factor 3*j**2/7 + 8580*j/7 + 17148/7.
3*(j + 2)*(j + 2858)/7
Factor 30*x**3 + 294531*x**2 + 722860068*x - 216884529.
3*(x + 4909)**2*(10*x - 3)
Determine w, given that 3*w**3 + 78915*w**2 + 1104222*w = 0.
-26291, -14, 0
Suppose -2*n**3/3 - 19910*n**2/3 + 19912*n/3 = 0. What is n?
-9956, 0, 1
What is d in 4*d**2 + 5040*d - 234900 = 0?
-1305, 45
Suppose -2*s**2/7 + 2535520*s/7 - 803607708800/7 = 0. Calculate s.
633880
Determine n, given that -190*n**5/3 - 2684*n**4/3 + 2894*n**3/3 + 2036*n**2 + 240*n = 0.
-15, -1, -12/95, 0, 2
Factor -x**2/4 + 32815*x/2 - 1076824225/4.
-(x - 32815)**2/4
Find v, given that -3*v**3/5 - 279*v**2/5 + 3123*v/5 + 3399/5 = 0.
-103, -1, 11
Factor y**2/3 - 6605*y/3 - 13214/3.
(y - 6607)*(y + 2)/3
Factor r**2/8 - 13263*r/8 + 6631/4.
(r - 13262)*(r - 1)/8
Determine i, given that -2*i**4/5 - 28*i**3 + 4976*i**2/5 + 21644*i/5 + 3306 = 0.
-95, -3, -1, 29
Determine b, given that -4*b**3 - 3956*b**2 - 58496*b - 54544 = 0.
-974, -14, -1
Let -5*q**3 - 10685*q**2 + 20*q + 42740 = 0. What is q?
-2137, -2, 2
Factor -3*x**2/7 + 1494*x/7 - 8856/7.
-3*(x - 492)*(x - 6)/7
Determine b, given that -15*b**4/2 + 8105*b**3/4 - 93285*b**2 + 4785885*b/4 - 196830 = 0.
1/6, 27, 216
Suppose -c**3/4 + 81*c**2/4 - 75*c/2 - 158 = 0. What is c?
-2, 4, 79
Factor -5*n**3 + 1645*n**2 + 385525*n - 387165.
-5*(n - 487)*(n - 1)*(n + 159)
Determine b so that -3*b**4 - 687*b**3 - 672*b**2 + 2748*b + 2736 = 0.
-228, -2, -1, 2
Factor -4*d**2 + 1908*d - 55304.
-4*(d - 446)*(d - 31)
Let 9*b**3/5 - b**2 - 36*b/5 + 4 = 0. What is b?
-2, 5/9, 2
What is p in 2*p**2/5 - 134*p + 38628/5 = 0?
74, 261
Factor -16*k**2 + 2386*k + 109740.
-2*(k - 186)*(8*k + 295)
Let -v**2/3 + 8672*v/3 - 18800896/3 = 0. Calculate v.
4336
Factor 94*k**2 - 454*k - 80.
2*(k - 5)*(47*k + 8)
Let -4*n**3 + 61464*n**2 - 236113956*n = 0. Calculate n.
0, 7683
Find l such that -2*l**4 + 16*l**3 + 154*l**2 - 1248*l + 1080 = 0.
-9, 1, 6, 10
Suppose 14*d**4 + 76984*d**3/11 + 874272*d**2 - 1004000*d/11 - 500000/11 = 0. Calculate d.
-250, -2/11, 2/7
Determine c, given that -573*c**2 - 561*c + 12 = 0.
-1, 4/191
Factor 2*l**2 + 727718*l.
2*l*(l + 363859)
Let 4*u**2 - 4904*u - 29568 = 0. What is u?
-6, 1232
What is b in -b**5/2 + 24*b**4 - 330*b**3 + 968*b**2 = 0?
0, 4, 22
D