, 2, 4
Factor -4*h**5 - 100*h**4 - 188*h**3 - 92*h**2.
-4*h**2*(h + 1)**2*(h + 23)
Find n, given that -3*n**4 - 25*n**3 - 27*n**2 + 9*n + 14 = 0.
-7, -1, 2/3
Factor -15*d**2 + 69*d/5 + 6/5.
-3*(d - 1)*(25*d + 2)/5
Factor -4*g**4 + 348*g**3 - 2608*g**2 + 6384*g - 5056.
-4*(g - 79)*(g - 4)*(g - 2)**2
Factor -2*l**3/3 - 215*l**2 + 974*l/3 + 216.
-(l - 2)*(l + 324)*(2*l + 1)/3
Factor 2*i**2/17 - 584*i/17 - 2368/17.
2*(i - 296)*(i + 4)/17
Let b**5 - 18*b**4 + 16*b**3 + 18*b**2 - 17*b = 0. Calculate b.
-1, 0, 1, 17
Find b such that b**4/4 + 7*b**3/2 = 0.
-14, 0
Factor 2*c**5/13 + 380*c**4/13 + 2232*c**3/13 + 4432*c**2/13 + 2944*c/13.
2*c*(c + 2)**3*(c + 184)/13
Factor 18*w**3/7 + 1842*w**2/7 + 612*w/7.
6*w*(w + 102)*(3*w + 1)/7
Factor 7*p**3/8 - 2*p**2 + 11*p/8 - 1/4.
(p - 1)**2*(7*p - 2)/8
Factor 2*p**2/5 + 198*p/5 + 3796/5.
2*(p + 26)*(p + 73)/5
Factor -4*d**3 - 596*d**2 + 1220*d + 1812.
-4*(d - 3)*(d + 1)*(d + 151)
Suppose -20*f**4 + 2062*f**3 - 172*f**2 - 3490*f - 1236 = 0. Calculate f.
-1, -2/5, 3/2, 103
Let a**4/9 + a**3/9 - 5*a**2/9 + a/3 = 0. Calculate a.
-3, 0, 1
Let 4*d**2 + 32*d - 420 = 0. Calculate d.
-15, 7
Suppose -2*j**3/9 + 20*j**2/9 - 32*j/9 = 0. What is j?
0, 2, 8
Find k such that 4*k**4/7 - 44*k**2/7 + 72*k/7 - 32/7 = 0.
-4, 1, 2
Factor -243*s**4/7 + 675*s**3/7 + 159*s**2/7 + 9*s/7.
-3*s*(s - 3)*(9*s + 1)**2/7
Solve 2205*c**5 - 210*c**4 - 6610*c**3 - 3780*c**2 + 405*c - 10 = 0.
-1, 1/21, 2
Factor -3*t**2 + 1569*t.
-3*t*(t - 523)
Factor -5*f**2 - 85*f + 2170.
-5*(f - 14)*(f + 31)
Solve 2*r**2/7 + 16*r/7 - 360/7 = 0 for r.
-18, 10
Determine w so that 4*w**2 + 21*w - 18 = 0.
-6, 3/4
Let -t**4 + 74*t**3 + t**2 - 74*t = 0. What is t?
-1, 0, 1, 74
Factor 5*n**3 + 20*n**2.
5*n**2*(n + 4)
Factor -2*j**2 + 444*j + 446.
-2*(j - 223)*(j + 1)
Factor 2*f**4/5 + 8*f**3/5.
2*f**3*(f + 4)/5
Solve -2*s**2/17 - 98*s/17 + 100/17 = 0 for s.
-50, 1
Factor w**4/3 - 12*w**3 - w**2/3 + 12*w.
w*(w - 36)*(w - 1)*(w + 1)/3
Factor -3*g**2 + 9*g + 810.
-3*(g - 18)*(g + 15)
Determine o, given that -36*o**3/7 + 1824*o**2/7 + 611*o/7 + 51/7 = 0.
-1/6, 51
Find j, given that 3*j**3 - 39*j**2 - 195*j - 153 = 0.
-3, -1, 17
Factor -3*d**3/8 + 4545*d**2/8 - 2295225*d/8 + 386362875/8.
-3*(d - 505)**3/8
Factor -3*i**3/7 + 75*i**2/7 + 2508*i/7.
-3*i*(i - 44)*(i + 19)/7
Factor 9*w**3 - 705*w**2 + 1602*w - 456.
3*(w - 76)*(w - 2)*(3*w - 1)
Let v**3/3 - 14*v**2/3 - 5*v = 0. Calculate v.
-1, 0, 15
Factor 10*u**5/3 - 14*u**4 + 68*u**3/3 - 52*u**2/3 + 6*u - 2/3.
2*(u - 1)**4*(5*u - 1)/3
What is n in -2*n**3/9 - 46*n**2/9 - 40*n/9 + 88/9 = 0?
-22, -2, 1
Factor 2*b**3/9 - 10*b**2 + 58*b/3 - 86/9.
2*(b - 43)*(b - 1)**2/9
Solve 4*y**3 - 200*y**2 = 0 for y.
0, 50
Factor -94*t**2 + 46*t + 48.
-2*(t - 1)*(47*t + 24)
Determine u so that -2*u**4 + 52*u**3 + 58*u**2 - 108*u = 0.
-2, 0, 1, 27
Factor -f**5 + 73*f**4 - 1867*f**3 + 18791*f**2 - 55016*f + 48668.
-(f - 23)**3*(f - 2)**2
Let 81*f**5 + 369*f**4 - 273*f**3 - 429*f**2 + 192*f + 60 = 0. What is f?
-5, -1, -2/9, 2/3, 1
Find t, given that 4*t**4 - 112*t**3 + 372*t**2 + 360*t - 1728 = 0.
-2, 3, 24
Factor 3*q**2 + 252*q - 255.
3*(q - 1)*(q + 85)
Suppose 3*m**3/4 - 21*m**2/2 + 33*m/4 + 39/2 = 0. Calculate m.
-1, 2, 13
Factor 2*p**3 + 66*p**2 - 72*p - 136.
2*(p - 2)*(p + 1)*(p + 34)
Let c**2 + 3246*c + 2634129 = 0. Calculate c.
-1623
Solve 115*j**4 + 450*j**3 + 535*j**2 + 180*j - 20 = 0 for j.
-2, -1, 2/23
Find k such that -5*k**2 - 170*k - 1445 = 0.
-17
Factor 54*a**5 + 918*a**4 + 4338*a**3 + 3746*a**2 + 1184*a + 128.
2*(a + 8)**2*(3*a + 1)**3
Find d such that -d**2/4 + 7*d/2 - 6 = 0.
2, 12
Factor 2*v**4/5 + 4*v**3/5 - 2*v**2/5 - 4*v/5.
2*v*(v - 1)*(v + 1)*(v + 2)/5
Factor -4*i**2/5 - 172*i/5 + 176/5.
-4*(i - 1)*(i + 44)/5
Find h, given that h**4/4 + h**3 - 19*h**2/4 + 7*h/2 = 0.
-7, 0, 1, 2
Determine p, given that p**5 - 196*p**4 + 1341*p**3 - 3422*p**2 + 3788*p - 1512 = 0.
1, 2, 189
What is y in -2*y**3 + 18*y**2 - 30*y + 14 = 0?
1, 7
Factor -k**4 + 2492*k**3 - 1555006*k**2 + 3102540*k - 1550025.
-(k - 1245)**2*(k - 1)**2
What is a in -3*a**4 + 90*a**3 - 684*a**2 + 1110*a - 513 = 0?
1, 9, 19
Suppose 2*o**3/9 - 2*o**2 + 52*o/9 - 16/3 = 0. What is o?
2, 3, 4
Factor -p**3 - 6*p**2 + 9*p + 54.
-(p - 3)*(p + 3)*(p + 6)
Factor 5*d**4/4 + 15*d**3/4 - 115*d**2/4 + 165*d/4 - 35/2.
5*(d - 2)*(d - 1)**2*(d + 7)/4
Suppose -2*c**3/3 - 104*c**2/3 - 392*c/3 - 128 = 0. What is c?
-48, -2
Factor -x**3/5 + 3*x**2/5 + 33*x/5 - 7.
-(x - 7)*(x - 1)*(x + 5)/5
Factor 3*a**2/4 - 3*a/2 - 18.
3*(a - 6)*(a + 4)/4
Suppose 4*h**5 + 8*h**4 - 108*h**3 + 208*h**2 - 112*h = 0. Calculate h.
-7, 0, 1, 2
What is d in -4*d**3/7 - 1584*d**2/7 - 209088*d/7 - 9199872/7 = 0?
-132
What is u in u**4/3 - 25*u**3/3 + 61*u**2 - 275*u/3 - 484/3 = 0?
-1, 4, 11
Suppose 3*c**4 - 204*c**3 - 633*c**2 - 426*c = 0. Calculate c.
-2, -1, 0, 71
Solve 2*j**4/15 - 2*j**2/5 + 4*j/15 = 0.
-2, 0, 1
Factor 2*q**2/3 + 4*q + 6.
2*(q + 3)**2/3
Factor 2*q**4/3 - 4*q**2 - 16*q/3 - 2.
2*(q - 3)*(q + 1)**3/3
What is q in 2*q**5/5 - 4*q**4 - 6*q**3/5 + 56*q**2 + 392*q/5 = 0?
-2, 0, 7
Factor -3*z**3/7 + 156*z**2/7 - 345*z + 9522/7.
-3*(z - 23)**2*(z - 6)/7
Determine k so that 21*k**4 - 2997*k**3/4 + 489*k**2 + 1377*k/4 - 105 = 0.
-4/7, 1/4, 1, 35
Find x such that -2*x**2/3 + 20*x/3 - 32/3 = 0.
2, 8
Factor -86436*i**2 + 2352*i - 16.
-4*(147*i - 2)**2
Factor 3*d**2 - 1173*d + 1170.
3*(d - 390)*(d - 1)
What is i in 7*i**4 + 2574*i**3 - 5909*i**2 + 4068*i - 740 = 0?
-370, 2/7, 1
Factor -3*c**3/7 - 396*c**2/7 - 387*c/7 + 786/7.
-3*(c - 1)*(c + 2)*(c + 131)/7
Factor -2*a**3/3 - 238*a**2/3 + 482*a/3 - 242/3.
-2*(a - 1)**2*(a + 121)/3
Determine q so that 2*q**4 - 38*q**3 + 228*q**2 - 448*q + 256 = 0.
1, 2, 8
Find y, given that -4*y**4 + 1004*y**3 - 1988*y**2 - 1004*y + 1992 = 0.
-1, 1, 2, 249
Factor -a**3/4 - a**2/4 + 7*a/2 + 6.
-(a - 4)*(a + 2)*(a + 3)/4
Factor -w**2/4 - w/4 + 3.
-(w - 3)*(w + 4)/4
Suppose v**3 - 27*v**2 + 240*v - 704 = 0. Calculate v.
8, 11
Factor 2*t**5 + 10*t**4 - 28*t**3 + 4*t**2 + 26*t - 14.
2*(t - 1)**3*(t + 1)*(t + 7)
Find z, given that z**4 + 11*z**3 + 22*z**2 - 60*z - 72 = 0.
-6, -1, 2
What is s in 3*s**3/4 + 183*s**2/2 + 2115*s/4 + 783 = 0?
-116, -3
Let -q**4/3 - 5*q**3/3 + q**2/3 + 5*q/3 = 0. Calculate q.
-5, -1, 0, 1
Factor z**4/2 + 31*z**3/2 - 137*z**2/2 + 105*z/2.
z*(z - 3)*(z - 1)*(z + 35)/2
Factor 5*i**5 - 20*i**4 - 20*i**3 + 80*i**2.
5*i**2*(i - 4)*(i - 2)*(i + 2)
Factor 3*c**4/7 - 24*c**3/7 - 30*c**2/7 + 24*c/7 + 27/7.
3*(c - 9)*(c - 1)*(c + 1)**2/7
Factor p**3/3 + 7*p**2/3 - 18*p + 24.
(p - 3)*(p - 2)*(p + 12)/3
Solve 2*b**2/5 + 146*b/5 + 284/5 = 0.
-71, -2
Suppose -75*j**5 + 120*j**4 + 237*j**3 - 318*j**2 - 180*j + 216 = 0. What is j?
-6/5, 1, 2
Factor -5*v**2 - 50*v - 45.
-5*(v + 1)*(v + 9)
Determine s, given that -14*s**3 - 3550*s**2 - 14176*s/7 - 2024/7 = 0.
-253, -2/7
Suppose -6*v**5/5 - 4*v**4 + 76*v**3/5 + 128*v**2/5 - 22*v/5 - 12 = 0. Calculate v.
-5, -1, 2/3, 3
Let 2*w**4/7 + 40*w**3 + 10076*w**2/7 + 2760*w + 9522/7 = 0. Calculate w.
-69, -1
Factor y**5 - 85*y**4 + 1763*y**3 + 1849*y**2.
y**2*(y - 43)**2*(y + 1)
What is j in -5*j**2 + 800*j - 32000 = 0?
80
Factor 3*f**3/4 - 9*f**2/4 - 15*f/2 + 18.
3*(f - 4)*(f - 2)*(f + 3)/4
Factor c**4/3 + 5*c**3 + 14*c**2/3.
c**2*(c + 1)*(c + 14)/3
Factor p**2/9 + 106*p + 25281.
(p + 477)**2/9
Factor 2*i**2 - 32.
2*(i - 4)*(i + 4)
Let -4*k**5 + 60*k**4 + 68*k**3 - 60*k**2 - 64*k = 0. Calculate k.
-1, 0, 1, 16
Determine u so that 2*u**4/5 + 44*u**3/25 + 26*u**2/25 - 56*u/25 - 24/25 = 0.
-3, -2, -2/5, 1
Suppose 3*g**4 - 1071*g**3 - 3240*g**2 = 0. Calculate g.
-3, 0, 360
Let 4*x**2/3 + 124*x/3 - 128/3 = 0. What is x?
-32, 1
Suppose -2*s**5/9 - 28*s**4/9 - 100*s**3/9 - 80*s**2/9 + 34*s/3 + 12 = 0. What is s?
-9, -3, -2, -1, 1
Factor 3*z**4 + 9*z**3 - 21*z**2 - 45*z + 54.
3*(z - 2)*(z - 1)*(z + 3)**2
Let -4*b**4 - 28*b**3 + 12*b**2 + 92*b + 56 = 0. Calculate b.
-7, -1, 2
Factor 2*g**4/7 + 10*g**3/7 - 138*g**2/7 - 94*g + 112.
2*(g - 8)*(g - 1)*(g + 7)**2/7
Factor 25*v**3 - 20*v**2.
5*v**2*(5*v - 4)
Factor 5*w**2/6 - 15*w.
5*w*(w - 18)/6
Solve -5*h**5 + 30*h**4 + 50*h**3 - 100*h**2 - 45*h + 70 = 0.
-2, -1, 1, 7
Find v, given that -v**2/8 - 941*v/8 + 943/4 = 0.
-943, 2
Let -3*j**4 + 78*j**3 - 507*j**2 = 0. Calculate j.
0, 13
Factor -m