**4/7 - 4148*n**3/7 + 4104*n**2/7 = 0. Calculate n.
-38, 0, 1, 27
Factor 5*a**2 + 109910*a + 329685.
5*(a + 3)*(a + 21979)
What is m in 5*m**5 - 3905*m**4 + 31030*m**3 - 85150*m**2 + 92805*m - 34785 = 0?
1, 3, 773
Factor -2*o**2 + 5194*o - 159092.
-2*(o - 2566)*(o - 31)
Solve f**4/2 + 6512*f**3 - 39084*f**2 + 78176*f - 52120 = 0 for f.
-13030, 2
Factor -27*d**4 + 321003*d**3 - 1270955700*d**2 + 1671139610000*d + 18536749000000.
-(d + 11)*(3*d - 11900)**3
Factor 3*w**3/2 - 11589*w**2/2 + 17364*w + 23160.
3*(w - 3860)*(w - 4)*(w + 1)/2
Determine v, given that -5*v**3 + 760*v**2 + 775*v - 1530 = 0.
-2, 1, 153
What is p in -2*p**4/5 + 78*p**3/5 - 86*p**2/5 - 11958*p/5 + 11968/5 = 0?
-11, 1, 17, 32
Determine k so that 2*k**3 - 186*k**2 + 3600*k + 35000 = 0.
-7, 50
Factor -5*u**3 + 4710*u**2 - 1136925*u + 12973500.
-5*(u - 465)**2*(u - 12)
Find w, given that -5*w**3 - 60*w**2 - 195*w - 140 = 0.
-7, -4, -1
Determine h, given that 2*h**4 - 364*h**3 - 3198*h**2 + 30160*h - 26600 = 0.
-14, 1, 5, 190
Factor -5*q**3 + 3477760*q**2 - 604744208625*q + 1209474506250.
-5*(q - 347775)**2*(q - 2)
Factor 2*l**3 + 2368*l**2 + 707978*l + 4163052.
2*(l + 6)*(l + 589)**2
Solve 3*l**3/8 + 2889*l**2/4 = 0.
-1926, 0
Factor g**2 - 122610*g + 3758303025.
(g - 61305)**2
Let -175*l**4 + 7340*l**3 - 38255*l**2 + 29290*l + 1800 = 0. What is l?
-2/35, 1, 5, 36
Let -2*u**4 + 14319*u**3 - 7158*u**2 - 7159*u = 0. What is u?
-1/2, 0, 1, 7159
Solve 682*p**2/7 - 98*p + 4/7 = 0 for p.
2/341, 1
Let 10*q**4 + 7706*q**3 - 10804*q**2 + 3088*q = 0. What is q?
-772, 0, 2/5, 1
Let 3*n**4/8 - 3*n**3/4 - 99*n**2/2 - 177*n - 168 = 0. What is n?
-8, -2, 14
Determine r so that -3*r**2/5 + 399*r/5 - 13176/5 = 0.
61, 72
Factor u**3/4 - 13*u**2 - 22913*u/4 - 5715.
(u - 180)*(u + 1)*(u + 127)/4
Factor 4*v**2/3 + 367324*v/3.
4*v*(v + 91831)/3
Solve 2*h**4 - 54628*h**3 + 373463968*h**2 - 5962265372*h + 5588856030 = 0 for h.
1, 15, 13649
Factor -4*b**3 + 16568*b**2 - 17139584*b - 34345472.
-4*(b - 2072)**2*(b + 2)
Suppose -6*m**3 + 25661*m**2 + 29945*m + 4278 = 0. Calculate m.
-1, -1/6, 4278
Find i such that i**2 + 777*i + 78302 = 0.
-658, -119
Factor 882565264*v**2 - 1307152*v + 484.
4*(14854*v - 11)**2
Find i, given that 3*i**4 - 102*i**3 + 771*i**2 - 1248*i + 576 = 0.
1, 8, 24
Factor 2*s**3 - 282*s**2 - 2594*s + 31290.
2*(s - 149)*(s - 7)*(s + 15)
Determine o, given that -135*o**5/7 + 24702*o**4/7 + 75615*o**3/7 + 50790*o**2/7 - 2220*o/7 - 2232/7 = 0.
-2, -1, -2/9, 1/5, 186
Find v, given that -5*v**2/2 + 5115*v + 10240 = 0.
-2, 2048
Suppose -u**3 - 11*u**2 + 740*u - 1428 = 0. What is u?
-34, 2, 21
Factor -3*b**3 - 246*b**2 - 6435*b - 52272.
-3*(b + 16)*(b + 33)**2
Factor -3*g**2/2 - 5922*g - 59145/2.
-3*(g + 5)*(g + 3943)/2
Factor -37288*i**3 - 74604*i**2 - 37344*i - 28.
-4*(i + 1)**2*(9322*i + 7)
Determine m, given that 2*m**4/7 - 40*m**3 + 2122*m**2/7 - 1220*m/7 - 13200/7 = 0.
-2, 5, 132
What is l in -10*l**4 + 17215*l**3 - 196315*l**2 - 572640*l - 359100 = 0?
-3/2, -1, 14, 1710
Solve -t**4/8 + 997*t**3/8 + 1997*t**2/8 + 999*t/8 = 0 for t.
-1, 0, 999
Suppose -6*o**4 - 279*o**3 - 924*o**2 - 909*o - 258 = 0. Calculate o.
-43, -2, -1, -1/2
Factor b**3/4 + 559*b**2/4 + 14570*b - 1465525.
(b - 61)*(b + 310)**2/4
What is m in -4*m**2/5 + 51876*m/5 - 51872/5 = 0?
1, 12968
Suppose -q**5/6 + 3455*q**4/3 = 0. What is q?
0, 6910
Factor -4*w**3/5 + 996*w**2 - 127452*w/5 + 824044/5.
-4*(w - 1219)*(w - 13)**2/5
Find u such that 2*u**2/15 + 26*u/5 + 36 = 0.
-30, -9
Suppose -2*s**3/13 - 10588*s**2/13 + 52982*s/13 - 42392/13 = 0. What is s?
-5299, 1, 4
Suppose -15*s**4/4 + 125*s**3 + 280*s**2 - 500*s - 1060 = 0. Calculate s.
-2, 2, 106/3
Factor k**2/5 - 128*k/5 - 133.
(k - 133)*(k + 5)/5
Let -v**2 - 1198*v + 63699 = 0. Calculate v.
-1249, 51
Let -36*i**4 - 776*i**3 + 8740*i**2 - 11288*i + 3360 = 0. Calculate i.
-30, 4/9, 1, 7
Factor -12*f**2 - 428853*f - 321633.
-3*(f + 35737)*(4*f + 3)
Factor -f**3 - f**2 + 13200*f - 579348.
-(f - 66)**2*(f + 133)
Solve -2*n**4/5 + 296*n**3/5 - 11058*n**2/5 + 124444*n/5 - 22736 = 0 for n.
1, 20, 29, 98
Find k such that 2*k**5/15 - 28*k**4/15 - 192*k**3/5 + 3988*k**2/15 - 6146*k/15 + 184 = 0.
-15, 1, 4, 23
Factor -z**4/8 - 990*z**3 - 1968104*z**2 - 31299840*z - 124946432.
-(z + 8)**2*(z + 3952)**2/8
Solve -56*l**3/11 - 22*l**2 + 1104*l/11 + 378/11 = 0.
-7, -9/28, 3
Factor 2*m**2/11 + 108*m/11 - 10710/11.
2*(m - 51)*(m + 105)/11
Let -g**5/3 + 127*g**4/3 - 1402*g**3 + 12576*g**2 + 31104*g = 0. What is g?
-2, 0, 24, 81
Factor 2*v**4 - 140*v**3 + 1424*v**2 + 3276*v + 1710.
2*(v - 57)*(v - 15)*(v + 1)**2
Factor -2*d**2/5 + 624*d/5 - 27864/5.
-2*(d - 258)*(d - 54)/5
Factor -g**4/5 + 2811*g**3/5.
-g**3*(g - 2811)/5
What is m in 4*m**3 - 48*m**2 - 8380*m - 16536 = 0?
-39, -2, 53
Factor c**3/5 - 3339*c**2/5 + 2002*c - 6672/5.
(c - 3336)*(c - 2)*(c - 1)/5
Determine v, given that -5*v**2 + 6715*v = 0.
0, 1343
Suppose -7245*k**5 + 2406*k**4 + 48771*k**3 + 30852*k**2 - 9276*k - 1008 = 0. Calculate k.
-28/15, -1, -2/23, 2/7, 3
Let -2*q**3/3 + 7150*q**2/3 + 14306*q/3 + 7154/3 = 0. What is q?
-1, 3577
What is x in -5*x**2 + 9850*x - 9845 = 0?
1, 1969
Factor 4*v**3 - 176*v**2 + 1060*v - 888.
4*(v - 37)*(v - 6)*(v - 1)
Factor 5*y**3 - 320*y**2 + 4075*y - 3760.
5*(y - 47)*(y - 16)*(y - 1)
Factor 5*p**2 - 1105*p + 49770.
5*(p - 158)*(p - 63)
Factor -6561*y**4 + 190431*y**3 - 4699*y**2 + 29*y.
-y*(y - 29)*(81*y - 1)**2
Factor 28*l**2/15 - 8374*l/5 - 1436/3.
2*(2*l - 1795)*(7*l + 2)/15
Suppose -3*z**3 - 186*z**2 + 1413*z - 2484 = 0. What is z?
-69, 3, 4
Factor 5*x**3 + 65540*x**2 - 131095*x + 65550.
5*(x - 1)**2*(x + 13110)
Solve 7*t**5/3 - 208*t**4/3 - 284*t**3/3 + 146*t**2/3 + 277*t/3 + 62/3 = 0.
-1, -2/7, 1, 31
Suppose -44*x**4 - 2632*x**3 - 38416*x**2 + 7072*x = 0. Calculate x.
-34, -26, 0, 2/11
Factor -m**3 - 2331*m**2 - 1359555*m - 1357225.
-(m + 1)*(m + 1165)**2
What is f in -f**5/8 + 355*f**4/2 - 611445*f**3/8 + 35898725*f**2/4 - 17720780*f + 8822352 = 0?
1, 186, 616
Factor -x**2/3 - 170*x/3 + 1991/3.
-(x - 11)*(x + 181)/3
Find k such that k**2 + 10311*k + 164720 = 0.
-10295, -16
Determine r so that -25*r**2 + 7605*r + 711000 = 0.
-75, 1896/5
Find c, given that 5*c**2 - 116725*c = 0.
0, 23345
Let 4*i**3 - 5364*i**2 - 10744*i = 0. Calculate i.
-2, 0, 1343
Solve 2*t**5 - 6*t**4 - 110*t**3 + 6*t**2 + 108*t = 0 for t.
-6, -1, 0, 1, 9
Find n, given that -2*n**3/9 - 5330*n**2/9 + 5344*n/9 + 10664/3 = 0.
-2666, -2, 3
Determine g so that -3*g**5 + 132*g**4 + 2052*g**3 + 9450*g**2 + 16767*g + 9234 = 0.
-6, -3, -1, 57
Let y**4/3 - 64*y**3/3 - 323*y**2 - 2444*y/3 - 1540/3 = 0. Calculate y.
-10, -2, -1, 77
Find v such that 5*v**3 + 11135*v**2 - 22330*v - 89160 = 0.
-2229, -2, 4
Find w such that -5*w**2 + 23210*w - 26935205 = 0.
2321
Find l, given that l**5 + 31456*l**4 + 125821*l**3/4 + 31455*l**2/4 = 0.
-31455, -1/2, 0
Solve 3*j**4 - 3603*j**3 + 32202*j**2 - 21408*j - 57216 = 0 for j.
-1, 2, 8, 1192
Determine r so that 2*r**4/3 + 5128*r**3/9 - 6850*r**2/9 - 1708*r/9 + 3424/9 = 0.
-856, -2/3, 1
Factor 1044*s**5/5 + 627*s**4 + 3141*s**3/5 + 1053*s**2/5 + 3*s/5.
3*s*(s + 1)**3*(348*s + 1)/5
Factor 4*w**3 - 412*w**2 + 5912*w - 5504.
4*(w - 86)*(w - 16)*(w - 1)
Factor 4*o**3/7 - 284*o**2/7 + 2832*o/7.
4*o*(o - 59)*(o - 12)/7
Determine z, given that -4*z**4 - 37036*z**3/7 - 1751460*z**2 - 8727844*z/7 + 3495368/7 = 0.
-661, -1, 2/7
Factor 4*n**3 + 17844*n**2 + 53504*n + 35664.
4*(n + 1)*(n + 2)*(n + 4458)
Factor -4*t**3 - 29300*t**2 - 53670272*t - 53640976.
-4*(t + 1)*(t + 3662)**2
Suppose -v**3 + 63*v**2 - 990*v = 0. What is v?
0, 30, 33
Factor -4*p**2 + 54112*p.
-4*p*(p - 13528)
Factor f**2 - 358*f + 1416.
(f - 354)*(f - 4)
Factor -4*i**2 - 1480*i - 49284.
-4*(i + 37)*(i + 333)
Find f such that -f**3/2 - 12555*f**2/2 - 6271*f + 75324 = 0.
-12554, -4, 3
Factor r**3/2 - 546*r**2 + 11891*r/2.
r*(r - 1081)*(r - 11)/2
What is n in -3*n**2/2 + 21444*n - 76640856 = 0?
7148
Factor 3*g**4/5 - 48*g**3 + 921*g**2/5 - 684*g/5.
3*g*(g - 76)*(g - 3)*(g - 1)/5
Find p such that p**2 - 311*p - 1580 = 0.
-5, 316
Find y such that 2*y**5 - 32*y**4 - 970*y**3 + 7128*y**2 + 161568*y + 397440 = 0.
-12, -3, 20, 23
Factor 2*c**3/19 + 5132*c**2/19 + 3287040*c/19 - 6594624/19.
2*(c - 2)*(c + 1284)**2/19
Factor -2*n**4 - 128*n**3 +