lve 4*y**2 + 67944*y - 407808 = 0 for y.
-16992, 6
Suppose -3*q**4/5 + 7087*q**3/5 + 40246*q**2/5 + 4736*q = 0. Calculate q.
-5, -2/3, 0, 2368
Factor 3*p**2/5 + 223839*p/5 - 223842/5.
3*(p - 1)*(p + 74614)/5
Suppose -4*u**2 + 2600*u - 57684 = 0. What is u?
23, 627
Factor -3*j**3 + 3783*j**2 - 1205721*j + 8255709.
-3*(j - 627)**2*(j - 7)
Factor 5*f**2 - 865430*f + 37448454245.
5*(f - 86543)**2
Suppose 5*n**2 + 3090*n - 163415 = 0. Calculate n.
-667, 49
Factor -3*c**3/2 - 2757861*c**2/2 + 5515731*c/2 - 2757867/2.
-3*(c - 1)**2*(c + 919289)/2
Factor 2*p**4 + 360*p**3 + 5076*p**2 + 20888*p + 16170.
2*(p + 1)*(p + 7)**2*(p + 165)
Factor -3*v**2/5 + 19677*v/5 - 59004/5.
-3*(v - 6556)*(v - 3)/5
Suppose 8*p**5/7 + 1518*p**4/7 + 1124*p**3/7 - 1896*p**2/7 - 1132*p/7 + 54 = 0. What is p?
-189, -1, 1/4, 1
Factor 202*c**2/3 - 12040*c/3 - 1600.
2*(c - 60)*(101*c + 40)/3
Factor 61*f**4 - 2137*f**3 + 17638*f**2 + 19188*f - 648.
(f - 18)**2*(f + 1)*(61*f - 2)
What is g in g**2/3 + 246704*g/3 + 15215715904/3 = 0?
-123352
Factor 3*r**3 + 375*r**2 + 10725*r - 63375.
3*(r - 5)*(r + 65)**2
Factor -3*v**3 + 2034*v**2 - 396180*v + 16721400.
-3*(v - 310)**2*(v - 58)
Factor -66*f**2 + 3615*f/2 + 456.
-3*(4*f + 1)*(11*f - 304)/2
Factor 3*k**3/2 + 3390*k**2 - 40842*k + 122688.
3*(k - 6)**2*(k + 2272)/2
Let -5*r**2 + 58030*r - 58025 = 0. What is r?
1, 11605
Factor 2*p**3 - 48870*p**2 + 296792166*p + 21319313278.
2*(p - 12253)**2*(p + 71)
Let 5*t**2 - 1913670*t + 183106643445 = 0. Calculate t.
191367
Determine i so that i**3/5 - 1065*i**2 + 7091568*i/5 - 7086244/5 = 0.
1, 2662
Solve 3*c**2/2 + 648*c - 110595/2 = 0 for c.
-505, 73
What is b in -4*b**5/3 + 3982*b**4/3 - 973960*b**3/3 - 8487848*b**2/3 - 20128192*b/3 - 8064128/3 = 0?
-4, -1/2, 502
Determine x so that 10*x**4/3 - 214*x**3/9 - 3572*x**2/9 + 160*x/3 = 0.
-8, 0, 2/15, 15
Factor v**3/4 - 44266*v**2 - 177065*v/4.
v*(v - 177065)*(v + 1)/4
Let h**4 - 53*h**3 - h**2 + 53*h = 0. What is h?
-1, 0, 1, 53
Suppose 3*o**5/5 - 444*o**4 + 24054*o**3/5 + 444*o**2 - 24057*o/5 = 0. Calculate o.
-1, 0, 1, 11, 729
Factor a**5/2 + 75*a**4 - 303*a**3/2 + 76*a**2.
a**2*(a - 1)**2*(a + 152)/2
Factor 2*s**2/7 + 27000*s/7 + 431488/7.
2*(s + 16)*(s + 13484)/7
Factor z**2 + 4565*z + 13686.
(z + 3)*(z + 4562)
What is a in a**4/2 - 707*a**3/2 - 13017*a**2/2 - 24409*a/2 + 175450 = 0?
-11, 4, 725
Factor 3*f**3/7 + 825*f**2/7 + 1614*f/7 - 936.
3*(f - 2)*(f + 4)*(f + 273)/7
Factor 3*p**2/2 + 222813*p/2.
3*p*(p + 74271)/2
Suppose 2*p**2/5 + 7496*p - 112458/5 = 0. Calculate p.
-18743, 3
Factor 5*k**3 + 96555*k**2 - 289700*k + 193140.
5*(k - 2)*(k - 1)*(k + 19314)
Factor 882*a**2/5 + 5124*a/5 + 7442/5.
2*(21*a + 61)**2/5
Find s such that 7*s**2/4 + 641413*s - 183261 = 0.
-366522, 2/7
Factor -x**5 - 122*x**4 - 3231*x**3 - 16538*x**2 - 31204*x - 20184.
-(x + 2)**3*(x + 29)*(x + 87)
Let -2*c**5/3 - 164*c**4 + 498*c**3 = 0. Calculate c.
-249, 0, 3
Factor d**2/5 + 23918*d/5 + 143017681/5.
(d + 11959)**2/5
Factor -w**2/11 - 43399*w/11 + 86802/11.
-(w - 2)*(w + 43401)/11
Find a such that a**2 - 13111*a - 52460 = 0.
-4, 13115
Factor -25*p**3 - 2885*p**2 - 99195*p - 871335.
-5*(p + 51)**2*(5*p + 67)
Determine b, given that 100*b**5 - 19260*b**4 + 937384*b**3 - 2287032*b**2 - 1027916*b - 106572 = 0.
-1/5, 3, 83, 107
Solve -3*l**5 - 3099*l**4/5 - 4863*l**3/5 + 11667*l**2/5 - 738*l = 0 for l.
-205, -3, 0, 2/5, 1
What is n in n**3/6 - 55775*n**2/3 - 111551*n/6 = 0?
-1, 0, 111551
Factor -5*v**2 - 3030*v + 24560.
-5*(v - 8)*(v + 614)
Find x such that -3*x**4 + 20965*x**3 + 287141*x**2 - 413133*x + 105030 = 0.
-15, 1/3, 1, 7002
Factor 4*c**2 - 348*c + 6344.
4*(c - 61)*(c - 26)
Factor z**2/5 - 136472*z/5 - 545904/5.
(z - 136476)*(z + 4)/5
Factor -i**4 - 1046*i**3 - 256281*i**2 + 9020704*i - 74373376.
-(i - 16)**2*(i + 539)**2
Factor -t**2/2 - 21994*t.
-t*(t + 43988)/2
Find u such that u**2/2 - 3547*u/2 - 3549 = 0.
-2, 3549
Factor -m**4/2 - 21759*m**3 - 473497597*m**2/2 - 473432322*m - 236705282.
-(m + 1)**2*(m + 21758)**2/2
Find v, given that 3*v**4 - 27*v**3 + 90*v**2 - 132*v + 72 = 0.
2, 3
Determine w so that 3*w**3 + 369*w**2 + 360*w - 732 = 0.
-122, -2, 1
Factor -m**3/5 + 29*m**2/5 + m/5 - 29/5.
-(m - 29)*(m - 1)*(m + 1)/5
Factor -3*k**2/2 + 3012*k - 523341/2.
-3*(k - 1917)*(k - 91)/2
Factor 5*u**4 + 395*u**3 - 2080*u**2 + 1680*u.
5*u*(u - 4)*(u - 1)*(u + 84)
Suppose -3*f**5/8 + 45*f**4/4 - 12*f**3 - 1032*f**2 - 4320*f - 4800 = 0. Calculate f.
-4, -2, 20
Determine r, given that -5*r**4 + 1935*r**3 - 9570*r**2 + 7640*r = 0.
0, 1, 4, 382
Let 4*w**3/7 + 2892*w**2/7 + 17228*w/7 + 14340/7 = 0. What is w?
-717, -5, -1
Solve 2*r**4 - 750*r**3 + 1486*r**2 + 2238*r = 0 for r.
-1, 0, 3, 373
Factor -9*m**2/5 - 35556*m/5 - 4740.
-3*(m + 3950)*(3*m + 2)/5
Factor 2*a**4/3 - 224*a**3/3 + 2812*a**2 - 109520*a/3 + 101306/3.
2*(a - 37)**3*(a - 1)/3
Suppose -225*z**2 + 3595*z + 810 = 0. Calculate z.
-2/9, 81/5
Solve q**2/5 - 23108*q/5 + 133494916/5 = 0 for q.
11554
Determine g, given that -5*g**4 - 13185*g**3 + 132215*g**2 - 357255*g + 238230 = 0.
-2647, 1, 3, 6
Factor k**5/6 - 7*k**4 + 74*k**3 - 545*k**2/3 + 337*k/2 - 54.
(k - 27)*(k - 12)*(k - 1)**3/6
Solve 4*j**4/7 + 284*j**3/7 + 3908*j**2/7 - 8684*j/7 + 4488/7 = 0 for j.
-51, -22, 1
Let -i**3 - 5666*i**2 + i + 5666 = 0. What is i?
-5666, -1, 1
Solve 3*w**2 - 407898*w + 13865064867 = 0.
67983
Determine f so that -2*f**2/5 + 89384*f/5 = 0.
0, 44692
Suppose -3129*z**4 + 25062*z**3/5 - 3177*z**2/5 - 6252*z/5 + 12/5 = 0. Calculate z.
-2/5, 2/1043, 1
Factor 2*t**4 + 64*t**3 - 132*t**2 - 10304*t + 51842.
2*(t - 7)**2*(t + 23)**2
Find g, given that -g**3 - 1917*g**2 + 3838*g = 0.
-1919, 0, 2
Factor a**3/7 + 7431*a**2/7 - 37180*a/7.
a*(a - 5)*(a + 7436)/7
Factor -3*k**2/2 - 15*k/2 + 4446.
-3*(k - 52)*(k + 57)/2
Factor n**3 + 12028*n**2 + 48100*n + 48096.
(n + 2)**2*(n + 12024)
Factor 3*o**2 + 14553*o + 43632.
3*(o + 3)*(o + 4848)
Factor -2*i**4 + 76740*i**3 + 230232*i**2 + 230236*i + 76746.
-2*(i - 38373)*(i + 1)**3
Solve -2*n**2/5 - 134954*n/5 - 134944 = 0 for n.
-67472, -5
Let c**2 - 31*c - 17850 = 0. Calculate c.
-119, 150
Find j, given that j**5 - 211*j**4 - 4*j**3 + 844*j**2 = 0.
-2, 0, 2, 211
Let -3*u**3/5 - 1518*u**2/5 - 1503*u = 0. Calculate u.
-501, -5, 0
Solve -2*f**2/7 + 884*f/7 - 1760/7 = 0 for f.
2, 440
Determine z, given that z**3/7 - 388*z**2/7 - 8900*z/7 - 49200/7 = 0.
-12, -10, 410
Determine p, given that 3*p**4/2 - 969*p**3 + 329943*p**2/2 - 2738394*p + 11979414 = 0.
9, 314
Factor -5*q**3 - 233290*q**2 + 233295*q.
-5*q*(q - 1)*(q + 46659)
Find h, given that h**4/3 - 103*h**3 + 7695*h**2 + 121361*h/3 + 49298 = 0.
-3, -2, 157
Suppose -3*c**3 - 28593*c**2 - 68144265*c - 68115675 = 0. What is c?
-4765, -1
Find x, given that 9*x**2 - 200478*x + 66825 = 0.
1/3, 22275
Find g, given that -g**3/3 + 31*g**2/3 + 994*g/3 + 5096/3 = 0.
-14, -7, 52
Suppose 4*i**3 + 16*i**2 - 436*i + 416 = 0. What is i?
-13, 1, 8
Determine i so that 5*i**5 + 2073*i**4 - 11315*i**3 + 10539*i**2 + 16362*i - 7560 = 0.
-420, -1, 2/5, 3
Find s, given that 2*s**2 + 8162*s - 57232 = 0.
-4088, 7
Solve t**5/3 - 1771*t**4/3 - 7096*t**3/3 - 7100*t**2/3 = 0 for t.
-2, 0, 1775
Factor -21*c**2/4 + 537*c/8 + 1989/8.
-3*(c + 3)*(14*c - 221)/8
Solve -i**3 - 28743*i**2 + 114985*i - 86241 = 0.
-28747, 1, 3
Determine t so that -2*t**3/9 + 710*t**2/9 - 49966*t/9 + 994762/9 = 0.
43, 269
Solve 2*s**5 + 684*s**4 + 1362*s**3 + 680*s**2 = 0 for s.
-340, -1, 0
Factor -2*p**2/13 + 30226*p/13 + 121320.
-2*(p - 15165)*(p + 52)/13
Find y, given that 6*y**2/11 - 690*y/11 + 18204/11 = 0.
41, 74
Determine c, given that -4*c**3 - 27*c**2 + 919*c - 228 = 0.
-19, 1/4, 12
Factor -l**2/4 - 66771*l/2.
-l*(l + 133542)/4
Factor -2*t**5/9 - 110*t**4/9 + 226*t**3/9 - 38*t**2/3.
-2*t**2*(t - 1)**2*(t + 57)/9
Suppose -5*b**5 - 7195*b**4 + 7215*b**3 + 21575*b**2 - 35990*b + 14400 = 0. What is b?
-1440, -2, 1
Factor -b**2/10 - 49*b/10 + 4851/5.
-(b - 77)*(b + 126)/10
Determine k so that k**3/4 - 415*k**2/8 - 26*k = 0.
-1/2, 0, 208
Determine s, given that 5*s**3 + 1375*s**2 + 2730*s = 0.
-273, -2, 0
Factor 4*u**2/3 + 3744*u - 22512.
4*(u - 6)*(u + 2814)/3
Find j such that -2*j**3/9 - 52*j**2/3 - 338*j = 0.
-39, 0
Factor -5*o**3 + 31185*o**2 - 48734175*o + 339612875.
-5*(o - 3115)**2*(o - 7)
