 30*c**3 - 55*c**2 + 270*c - 72 = 0?
-3, 2/7, 3, 4
Factor -3*x**4 - 69*x**3/7 - 81*x**2/7 - 39*x/7 - 6/7.
-3*(x + 1)**3*(7*x + 2)/7
Suppose 2*j**3/5 + 6*j**2 + 28*j/5 = 0. Calculate j.
-14, -1, 0
Factor -a**2/4 + 4695*a/2 - 22043025/4.
-(a - 4695)**2/4
Suppose -2*s**2/5 - 146*s/5 + 616/5 = 0. Calculate s.
-77, 4
Let 3*i**4 - 5028*i**3 - 9*i**2 + 15078*i + 10056 = 0. Calculate i.
-1, 2, 1676
Solve 2*x**5/7 - 4*x**4/7 - 22*x**3/7 + 16*x**2/7 + 40*x/7 - 32/7 = 0.
-2, 1, 4
Factor -m**2 + 1098*m - 301401.
-(m - 549)**2
Factor 3*x**3 - 1059*x**2 + 95025*x - 275625.
3*(x - 175)**2*(x - 3)
Suppose 2*b**5 - 86*b**4/9 - 20*b**3/9 = 0. Calculate b.
-2/9, 0, 5
Suppose 2*h**3/13 + 12*h**2/13 - 840*h/13 - 8624/13 = 0. What is h?
-14, 22
Find s, given that -3*s**2 - 1506*s - 189003 = 0.
-251
Factor u**5/6 - u**4/6.
u**4*(u - 1)/6
Determine a, given that 1764*a**3 - 51492*a**2 + 9760*a - 464 = 0.
2/21, 29
Determine g so that -4*g**4 + 64*g**3 - 288*g**2 + 512*g - 320 = 0.
2, 10
Factor -f**2/5 + 5*f - 24/5.
-(f - 24)*(f - 1)/5
Factor -5*h**3/3 + h**2 + 15*h - 9.
-(h - 3)*(h + 3)*(5*h - 3)/3
Factor -g**3/2 + 13*g**2 + 371*g/2 - 198.
-(g - 36)*(g - 1)*(g + 11)/2
Suppose 3*n**3/5 - 447*n**2/5 + 19497*n/5 - 40401 = 0. What is n?
15, 67
Let 2*z**2/9 - 32*z/9 - 160/9 = 0. Calculate z.
-4, 20
Solve 3*o**4/7 - 132*o**3/7 + 54*o**2 - 372*o/7 + 123/7 = 0 for o.
1, 41
Determine d so that -d**3/4 + d**2 + 3*d/4 - 9/2 = 0.
-2, 3
What is m in 2*m**5 + 30*m**4 + 94*m**3 - 158*m**2 - 96*m + 128 = 0?
-8, -1, 1
Let -9*j**3 + 42*j**2 + 69*j + 18 = 0. What is j?
-1, -1/3, 6
Factor 5*s**3 + 3065*s**2 - 5*s - 3065.
5*(s - 1)*(s + 1)*(s + 613)
Find o, given that -16*o**4/5 + 4*o**3/5 + 16*o**2/5 - 4*o/5 = 0.
-1, 0, 1/4, 1
Factor -3*v**2/4 + 45*v/4 - 21/2.
-3*(v - 14)*(v - 1)/4
Determine j, given that -24*j**4 - 268*j**3 - 716*j**2 - 112*j = 0.
-7, -4, -1/6, 0
Let 120*v**5 + 772*v**4 + 852*v**3 - 92*v**2 - 252*v + 40 = 0. Calculate v.
-5, -1, 1/6, 2/5
Find k, given that -12*k**5/5 - 372*k**4/5 + 237*k**3 - 1308*k**2/5 + 609*k/5 - 102/5 = 0.
-34, 1/2, 1
Factor 4*z**4 - 80*z**3 - 172*z**2 - 88*z.
4*z*(z - 22)*(z + 1)**2
Factor 2*y**4/5 + 8*y**3/5 + 12*y**2/5 + 8*y/5 + 2/5.
2*(y + 1)**4/5
What is c in c**3 + 133*c**2 + 1016*c + 2000 = 0?
-125, -4
Solve 4*g**4 + 15*g**3 + 5*g**2 - 15*g - 9 = 0.
-3, -1, -3/4, 1
Factor t**4/3 + 158*t**3 + 472*t**2 + 1414*t/3 + 157.
(t + 1)**3*(t + 471)/3
Let 25*m**4 - 415*m**3/2 + 54*m**2 + 50*m - 16 = 0. Calculate m.
-1/2, 2/5, 8
Factor 2*l**4/19 - 704*l**3/19 + 2100*l**2/19 - 2096*l/19 + 698/19.
2*(l - 349)*(l - 1)**3/19
Let g**2/4 - 10*g - 41/4 = 0. What is g?
-1, 41
Factor -4*w**3 + 8*w**2 + 452*w - 1320.
-4*(w - 10)*(w - 3)*(w + 11)
Factor -2*a**2/7 - 5648*a/7 - 3987488/7.
-2*(a + 1412)**2/7
Factor -c**4/6 - 83*c**3/6.
-c**3*(c + 83)/6
Solve -7*n**5 + 19*n**4 + 76*n**3 + 20*n**2 = 0.
-2, -2/7, 0, 5
Factor -d**3 + 231*d**2 - 459*d + 229.
-(d - 229)*(d - 1)**2
Determine z so that z**5 + 3*z**4 - 3*z**3 - 7*z**2 + 6*z = 0.
-3, -2, 0, 1
Find y, given that -3*y**4/8 - 3*y**3/4 + 3*y**2/8 + 3*y/4 = 0.
-2, -1, 0, 1
Factor a**4 + 7*a**3 - 24*a**2 - 180*a.
a*(a - 5)*(a + 6)**2
Factor 2*t**2/5 - 1472*t/5 - 2952/5.
2*(t - 738)*(t + 2)/5
Solve 3*q**2 + 693*q - 696 = 0.
-232, 1
What is w in -3*w**4/5 + 6*w**2 - 27/5 = 0?
-3, -1, 1, 3
Factor -5*j**3 + 1565*j**2 - 1560*j.
-5*j*(j - 312)*(j - 1)
Determine p, given that 54*p**5/7 - 2880*p**4/7 + 34008*p**3/7 + 127776*p**2/7 - 30336*p + 10752 = 0.
-4, 2/3, 28
Find z, given that -5*z**2/3 + 130*z/3 = 0.
0, 26
Factor -u**3/4 + 3*u**2/2 + 9*u + 10.
-(u - 10)*(u + 2)**2/4
Determine i so that -3*i**5 + 30*i**4 - 102*i**3 + 108*i**2 + 81*i - 162 = 0.
-1, 2, 3
Factor g**3/4 - 29*g**2 - 235*g/4 - 59/2.
(g - 118)*(g + 1)**2/4
Suppose -38*a**3/9 + 1052*a**2/9 - 1640*a/9 - 208/3 = 0. What is a?
-6/19, 2, 26
Factor 3*h**2/4 + 189*h/2 + 11907/4.
3*(h + 63)**2/4
What is l in -14*l**3 - 284*l**2 + 536*l + 176 = 0?
-22, -2/7, 2
Find a, given that 36*a**5 + 33*a**4 - 309*a**3 - 426*a**2 + 180*a + 216 = 0.
-2, -2/3, 3/4, 3
Let -1681*a**3 - 3116*a**2 + 483*a - 18 = 0. Calculate a.
-2, 3/41
What is u in -u**3/6 + 8*u**2/3 - 13*u/2 = 0?
0, 3, 13
Factor 3*t**4/7 - 51*t**3/7 + 306*t**2/7 - 108*t + 648/7.
3*(t - 6)**2*(t - 3)*(t - 2)/7
Factor -g**2/2 - 397*g - 157609/2.
-(g + 397)**2/2
Let -m**4/5 + 7*m**2/5 - 6*m/5 = 0. Calculate m.
-3, 0, 1, 2
Solve -8*v**5 + 18*v**4 - 4*v**3 - 16*v**2 + 12*v - 2 = 0 for v.
-1, 1/4, 1
Factor -3*m**2/7 + 48/7.
-3*(m - 4)*(m + 4)/7
Factor p**3/3 + 71*p**2/2 - 18*p - 107/6.
(p - 1)*(p + 107)*(2*p + 1)/6
Determine y so that -y**2/10 + 1631*y/10 - 163 = 0.
1, 1630
Factor 3*u**2 + 12*u - 288.
3*(u - 8)*(u + 12)
Factor -2*a**2/13 - 226*a/13 + 460/13.
-2*(a - 2)*(a + 115)/13
Factor -34596*t**2/5 + 744*t/5 - 4/5.
-4*(93*t - 1)**2/5
Solve 6*x**5 - 212*x**4 + 1800*x**3 + 1296*x**2 = 0.
-2/3, 0, 18
Let 5*t**5/3 - 9*t**4 - 110*t**3/3 + 28*t**2/3 + 56*t - 64/3 = 0. Calculate t.
-2, 2/5, 1, 8
Find m such that -2*m**2 - 3004*m + 3006 = 0.
-1503, 1
Suppose q**3/4 + 42*q**2 - q - 168 = 0. Calculate q.
-168, -2, 2
Factor 2*t**2/5 + 3298*t/5 + 9876/5.
2*(t + 3)*(t + 1646)/5
Let -80*j**2 + 6120*j - 117045 = 0. What is j?
153/4
Solve 2*i**2/7 - 15460*i/7 + 29876450/7 = 0 for i.
3865
Let -s**4 + 14*s**3 + 27*s**2 - 740*s + 700 = 0. Calculate s.
-7, 1, 10
Suppose -4*p**5 - 44*p**4 - 108*p**3 + 44*p**2 + 112*p = 0. Calculate p.
-7, -4, -1, 0, 1
Let 4*s**2 + 16*s + 16 = 0. What is s?
-2
Factor 75*r**3 - 6355*r**2 - 1700*r.
5*r*(r - 85)*(15*r + 4)
Factor -b**4/3 - 2*b**3/3 + 8*b**2/3 + 6*b + 3.
-(b - 3)*(b + 1)**2*(b + 3)/3
Find c, given that 30*c**3 + 129*c**2 + 36*c = 0.
-4, -3/10, 0
Factor -g**2 - 406*g - 41209.
-(g + 203)**2
Let -260*h**3/9 + 3122*h**2/9 - 3128*h/3 + 8 = 0. Calculate h.
1/130, 6
Solve 2*k**5/5 - 2*k**4/5 - 54*k**3/5 - 54*k**2/5 + 108*k/5 = 0.
-3, 0, 1, 6
Factor 3*b**4/8 - 33*b**3/4 + 291*b**2/8 + 99*b + 54.
3*(b - 12)**2*(b + 1)**2/8
Determine n, given that 3*n**2/7 + 3030*n/7 + 765075/7 = 0.
-505
Determine y, given that -10*y**3/9 - 16*y**2/9 + 38*y/9 - 4/3 = 0.
-3, 2/5, 1
Factor -4*a**4 + 12*a**3 + 16*a**2.
-4*a**2*(a - 4)*(a + 1)
Factor p**2 - 58*p + 841.
(p - 29)**2
Factor 2*d**4 + 120*d**3 - 378*d**2.
2*d**2*(d - 3)*(d + 63)
Suppose 5*h**2/7 - h + 2/7 = 0. What is h?
2/5, 1
Factor -5*w**3 - 20*w**2 + 5*w + 20.
-5*(w - 1)*(w + 1)*(w + 4)
Factor 2*p**4/7 - 108*p**3/7 + 1962*p**2/7 - 1944*p + 4536.
2*(p - 21)**2*(p - 6)**2/7
Determine c so that -12*c**5/5 + 724*c**4/5 - 2976*c**3/5 + 720*c**2 - 896*c/5 = 0.
0, 1/3, 2, 56
Factor 6*w**3/7 - 100*w**2/7 - 104*w + 528/7.
2*(w - 22)*(w + 6)*(3*w - 2)/7
Factor 4*c**4/5 + 32*c**3/5 - 684*c**2/5 + 648*c/5.
4*c*(c - 9)*(c - 1)*(c + 18)/5
Factor u**3 - 1068*u**2 + 380208*u - 45118016.
(u - 356)**3
Factor 4*y**2/3 + 532*y/3 + 1640.
4*(y + 10)*(y + 123)/3
Find u such that -4*u**4 + 76*u**3 - 360*u**2 + 656*u - 416 = 0.
2, 13
Factor -o**4/4 - o**3/2 + 7*o**2/4 + 5*o + 3.
-(o - 3)*(o + 1)*(o + 2)**2/4
Solve g**4 - 6*g**3 - 7*g**2 + 96*g - 144 = 0 for g.
-4, 3, 4
Determine g, given that 2*g**2/13 - 1004*g/13 + 2000/13 = 0.
2, 500
Suppose -5*w**5/4 + 15*w**4/4 + 105*w**3/4 - 215*w**2/4 - 75*w = 0. What is w?
-4, -1, 0, 3, 5
Suppose -f**3 + 20*f**2 + f - 20 = 0. What is f?
-1, 1, 20
Let -r**3/11 + 5*r**2/11 - 7*r/11 + 3/11 = 0. What is r?
1, 3
Let -5*c**5 + 55*c**4 + 225*c**3 - 155*c**2 - 740*c - 420 = 0. What is c?
-3, -1, 2, 14
Let -p**3/3 + 88*p**2/3 - 169*p/3 - 86 = 0. What is p?
-1, 3, 86
Factor -2*s**3/11 - 400*s**2/11 - 72*s.
-2*s*(s + 2)*(s + 198)/11
Factor -d**2/2 - 519*d/2 + 521.
-(d - 2)*(d + 521)/2
Factor -c**2/6 + 103*c/3 - 10609/6.
-(c - 103)**2/6
Factor -3*t**2 - 1836*t.
-3*t*(t + 612)
Factor -12*b**2 + 26048*b - 17360.
-4*(b - 2170)*(3*b - 2)
Factor 4*f**5 - 144*f**4 - 368*f**3 + 29952*f**2 + 173056*f.
4*f*(f - 26)**2*(f + 8)**2
Suppose 2*z**4/19 + 2724*z**3/19 - 16392*z**2/19 + 32816*z/19 - 1152 = 0. What is z?
-1368, 2
Determine y, given that y**2 + 4*y - 5 = 0.
-5, 1
Find s such that -2*s**5/3 + 104*s**4/3 - 1628*s**3/3 + 7184*s**2/3 - 9890*s/3 + 4232/3 = 0.
1, 4, 23
Suppose -q**2/7 + 7*q + 590/7 = 0. Calculate q.
-10, 59
Factor -6*c**4/17 - 76*c**3/17 - 48*c**2/17.
-2*c**2*(c + 12)*(3*c + 2)/17
Factor -5*h**4 + 90*h**3 + 5*h**2 - 90*h.
-5*h*(h - 18)*(h -