se 5*f**4/3 - 30*f**3 + 305*f**2/3 + 300*f + 500/3 = 0. Calculate f.
-1, 10
Suppose -8*p**4/11 - 46*p**3/11 - 38*p**2/11 = 0. What is p?
-19/4, -1, 0
Factor 2*z**3 + 20*z**2.
2*z**2*(z + 10)
Solve -5*l**2 + 100*l + 220 = 0 for l.
-2, 22
Let -2*p**5 - 26*p**4 - 98*p**3 - 158*p**2 - 116*p - 32 = 0. What is p?
-8, -2, -1
Factor -y**4/3 - 32*y**3/3 + 11*y**2.
-y**2*(y - 1)*(y + 33)/3
Factor -3*s**2 - 384*s - 12288.
-3*(s + 64)**2
Factor -140*m**5 + 304*m**4 - 188*m**3 + 24*m**2.
-4*m**2*(m - 1)**2*(35*m - 6)
Factor -9*d**3/7 - 116*d**2/7 + 283*d/7 - 30/7.
-(d - 2)*(d + 15)*(9*d - 1)/7
Factor 2*g**3/13 + 80*g**2/13 - 5600*g/13 + 64000/13.
2*(g - 20)**2*(g + 80)/13
Factor -404*o**3 + 1208*o**2 - 796*o - 8.
-4*(o - 2)*(o - 1)*(101*o + 1)
Factor -507*s**4 + 230646*s**3 - 25999887*s**2 - 52693740*s - 26462700.
-3*(s + 1)**2*(13*s - 2970)**2
Find j, given that 5*j**5 - 155*j**4 - 885*j**3 - 585*j**2 + 1620*j = 0.
-3, 0, 1, 36
Solve -9*j**4 + 3786*j**3/7 - 360*j**2/7 = 0.
0, 2/21, 60
Determine u so that 2*u**5 + 162*u**4 + 2672*u**3 - 24312*u**2 + 59840*u - 46464 = 0.
-44, 2, 3
Factor 35*f**3 + 90*f**2 - 395*f + 150.
5*(f - 2)*(f + 5)*(7*f - 3)
Factor -25*a**2/2 - 2160*a - 93312.
-(5*a + 432)**2/2
Let -5*w**2 - 290*w = 0. Calculate w.
-58, 0
Determine h so that -4*h**4 - 68*h**3 - 372*h**2 - 700*h - 392 = 0.
-7, -2, -1
Solve 3*b**3 - 12*b**2 - 495*b = 0 for b.
-11, 0, 15
Let -2*r**4/7 + 194*r**3/7 - 4400*r**2/7 - 15000*r/7 = 0. Calculate r.
-3, 0, 50
Find k, given that 3*k**2/5 - 546*k/5 - 1521 = 0.
-13, 195
Factor 5*w**2 - 740*w - 1500.
5*(w - 150)*(w + 2)
Factor 4*k**3 + 116*k**2 + 112*k.
4*k*(k + 1)*(k + 28)
Solve -2*i**3/13 + 50*i**2/13 - 336*i/13 + 288/13 = 0.
1, 12
Factor -4*r**2 - 312*r - 6084.
-4*(r + 39)**2
Suppose -g**3/6 - 19*g**2/6 - 115*g/6 - 75/2 = 0. What is g?
-9, -5
Determine g so that -g**3/8 - 45*g**2/8 + 51*g - 106 = 0.
-53, 4
Factor -2*t**2 - 98*t.
-2*t*(t + 49)
Factor -w**2 + 8*w + 33.
-(w - 11)*(w + 3)
Factor q**2 + 5148*q + 6625476.
(q + 2574)**2
Suppose -t**5/8 - 3*t**4/4 + 17*t**3/4 + 6*t**2 - 153*t/8 - 81/4 = 0. Calculate t.
-9, -2, -1, 3
Factor 2*o**3 - 14*o**2 - 2*o + 14.
2*(o - 7)*(o - 1)*(o + 1)
Factor 2*a**2 + 14*a + 20.
2*(a + 2)*(a + 5)
Factor 4*l**3 - 96*l**2 - 204*l - 104.
4*(l - 26)*(l + 1)**2
Determine t so that -3*t**2 - 846*t + 849 = 0.
-283, 1
Suppose 2*g**5 + 10*g**4 + 12*g**3 - 8*g**2 - 16*g = 0. Calculate g.
-2, 0, 1
Factor -2*k**3/3 - 1178*k**2/3 + 4736*k/3 - 4744/3.
-2*(k - 2)**2*(k + 593)/3
Factor -3*j**4 - 24*j**3 - 66*j**2 - 72*j - 27.
-3*(j + 1)**2*(j + 3)**2
Let -4*z**3 + 260*z**2 - 976*z = 0. What is z?
0, 4, 61
Factor 9*o**4 - 66*o**3 - 363*o**2 + 2436*o + 1764.
3*(o - 7)**2*(o + 6)*(3*o + 2)
Find b, given that 2*b**2/9 - 10*b/9 - 4/3 = 0.
-1, 6
Find l such that 10*l**5 + 25*l**4 - 105*l**3 + 95*l**2 - 25*l = 0.
-5, 0, 1/2, 1
Factor 5*j**4 + 65*j**3 + 215*j**2 + 75*j - 360.
5*(j - 1)*(j + 3)**2*(j + 8)
Let 2*x**5 - 7338*x**4 + 6727108*x**3 + 6741788*x**2 - 6727110*x - 6734450 = 0. What is x?
-1, 1, 1835
Factor 5*m**2 - 185*m + 180.
5*(m - 36)*(m - 1)
Let -65*v**2 - 380*v + 60 = 0. Calculate v.
-6, 2/13
What is x in -5*x**2 + 6840*x - 20475 = 0?
3, 1365
Solve 7*y**4/2 - 960*y**3 + 4363*y**2/2 - 1497*y + 272 = 0.
2/7, 1, 272
Find r, given that 5*r**5 + 130*r**4 - 1620*r**3 + 6210*r**2 - 9585*r + 4860 = 0.
-36, 1, 3
Solve u**2 + 1428*u + 509796 = 0.
-714
What is r in 9*r**5/2 + 49*r**4/4 - 467*r**3/4 + 497*r**2/4 - 55*r/4 - 21/2 = 0?
-7, -2/9, 1/2, 1, 3
Determine k so that 9*k**3/4 - 96*k**2 - 1043*k - 2548 = 0.
-14/3, 52
Solve 3*z**2 + 9618*z - 9621 = 0.
-3207, 1
What is t in 18*t**3/5 + 328*t**2/5 + 72*t/5 = 0?
-18, -2/9, 0
Find k, given that -k**4/6 + 9*k**3 + 38*k**2 + 116*k/3 = 0.
-2, 0, 58
Determine b, given that b**3 - 81*b**2 + 2187*b - 19683 = 0.
27
Factor 3*s**4 - 315*s**3 - 1002*s**2 + 3240*s.
3*s*(s - 108)*(s - 2)*(s + 5)
Factor -d**3 - 2*d**2 + 11*d + 12.
-(d - 3)*(d + 1)*(d + 4)
Determine m, given that m**3/6 + 98*m**2/3 + 389*m/6 + 97/3 = 0.
-194, -1
Determine t so that 3*t**4 - 267*t**3 + 1284*t**2 - 2028*t + 1008 = 0.
1, 2, 84
Factor 9*p**4 + 48*p**3 + 93*p**2 + 78*p + 24.
3*(p + 1)**2*(p + 2)*(3*p + 4)
Let -35*f**5 - 45*f**4 + 830*f**3 - 1020*f**2 - 360*f = 0. What is f?
-6, -2/7, 0, 2, 3
Let 2*a**2/9 - 10*a/9 = 0. Calculate a.
0, 5
Let 2*q**3/9 - 20*q**2/3 + 146*q/3 - 380/9 = 0. What is q?
1, 10, 19
What is v in -5*v**5 - 40*v**4 + 250*v**3 + 2560*v**2 + 4235*v + 1960 = 0?
-7, -1, 8
Factor -9*o**2 - 123*o + 42.
-3*(o + 14)*(3*o - 1)
Factor -2*c**4 + 26*c**3 + 626*c**2 - 650*c.
-2*c*(c - 25)*(c - 1)*(c + 13)
Find p, given that -p**2/10 - 72*p/5 - 143/10 = 0.
-143, -1
Solve 26*v**4 - 10*v**3 - 36*v**2 = 0 for v.
-1, 0, 18/13
Factor w**2 - 10118*w + 25593481.
(w - 5059)**2
Factor 3*a**2 + 2040*a + 346800.
3*(a + 340)**2
Factor 7*v**3/3 - 493*v**2 + 1892*v/3 - 140.
(v - 210)*(v - 1)*(7*v - 2)/3
Factor -5*r**2 + 860*r - 36980.
-5*(r - 86)**2
What is m in 2*m**2/5 + 88*m/5 + 168/5 = 0?
-42, -2
Suppose 2*d**2 - 28*d + 66 = 0. What is d?
3, 11
Find b such that b**5/2 - 29*b**4/2 + 197*b**3/2 - 331*b**2/2 - 99*b + 180 = 0.
-1, 1, 3, 6, 20
Find o such that 3*o**5 - 27*o**4 + 66*o**3 - 96*o = 0.
-1, 0, 2, 4
Factor 2*a**4 - 18*a**3 + 216*a.
2*a*(a - 6)**2*(a + 3)
Factor b**5/2 + 3*b**4 + 7*b**3 + 8*b**2 + 9*b/2 + 1.
(b + 1)**4*(b + 2)/2
Factor -2*h**2/7 + 496*h/7 - 494/7.
-2*(h - 247)*(h - 1)/7
Suppose 92*t**2/15 - 82*t/15 - 2/3 = 0. Calculate t.
-5/46, 1
Let 3*c**4/8 - 15*c**3/8 + 15*c**2/8 + 15*c/8 - 9/4 = 0. Calculate c.
-1, 1, 2, 3
Solve -4*d**4 + 160*d**3 - 2272*d**2 + 13440*d - 28224 = 0.
6, 14
Factor v**2 + 270*v + 18225.
(v + 135)**2
What is m in 2*m**2 + 184*m + 4232 = 0?
-46
Factor 3*n**5 + 36*n**4 - 1389*n**3 + 10746*n**2 - 29484*n + 20088.
3*(n - 6)**3*(n - 1)*(n + 31)
Find l, given that 42*l**5 - 369*l**4 + 465*l**3 + 495*l**2 - 507*l - 126 = 0.
-1, -3/14, 1, 2, 7
Factor o**2/6 + o/6 - 1/3.
(o - 1)*(o + 2)/6
Let -2*z**5/9 + 14*z**4/9 - 2*z**3/3 - 46*z**2/9 + 64*z/9 - 8/3 = 0. What is z?
-2, 1, 6
Solve 4*q**3/7 + 6*q**2/7 - 10*q/7 - 12/7 = 0 for q.
-2, -1, 3/2
Solve -5*a**4 - 65*a**3 - 195*a**2 - 135*a = 0 for a.
-9, -3, -1, 0
Suppose -3*r**3/7 + 1221*r**2/7 - 128400*r/7 + 120000 = 0. Calculate r.
7, 200
Factor b**5 + 7*b**4 + 16*b**3 + 12*b**2.
b**2*(b + 2)**2*(b + 3)
Solve -3*c**5/2 + 51*c**4/2 - 45*c**3/2 - 51*c**2/2 + 24*c = 0.
-1, 0, 1, 16
Factor -k**2/2 + 9*k/2 - 7.
-(k - 7)*(k - 2)/2
Solve 3*h**2 + 162*h = 0.
-54, 0
Factor -5*n**4 + 515*n**3 + 1045*n**2 + 525*n.
-5*n*(n - 105)*(n + 1)**2
Factor 2*j**3 - 190*j**2 + 1406*j - 1218.
2*(j - 87)*(j - 7)*(j - 1)
Factor 4*j**2 - 44*j - 104.
4*(j - 13)*(j + 2)
Solve 2*q**2 + 3652*q + 1667138 = 0 for q.
-913
Factor 3*i**4/2 + 3*i**3 - 9*i**2/2 - 6*i + 6.
3*(i - 1)**2*(i + 2)**2/2
Solve -2*t**4/9 - 4*t**3/9 + 2*t**2/3 = 0.
-3, 0, 1
Find b such that 3*b**5 + 6*b**4 - 45*b**3 - 96*b**2 - 48*b = 0.
-4, -1, 0, 4
Solve 12*n**3/5 + 4*n**2 + 4*n/5 - 4/5 = 0.
-1, 1/3
Suppose -5*k**3/4 - 40*k**2 + 545*k/4 + 175 = 0. Calculate k.
-35, -1, 4
Let 140*f**2 + 1545*f + 55 = 0. Calculate f.
-11, -1/28
Factor 2*a**2/13 + 12*a/13 + 18/13.
2*(a + 3)**2/13
Determine q so that -3*q**2 - 69*q + 522 = 0.
-29, 6
Factor -5*a**3 + 5*a**2 + 25*a + 15.
-5*(a - 3)*(a + 1)**2
What is d in -5*d**2 + 55*d - 120 = 0?
3, 8
Factor -k**4 - 25*k**3 + k**2 + 25*k.
-k*(k - 1)*(k + 1)*(k + 25)
Factor -10*i**2 + 11*i - 1.
-(i - 1)*(10*i - 1)
Factor 3*n**3/4 + 12*n**2 + 45*n.
3*n*(n + 6)*(n + 10)/4
Factor l**3/4 + 2*l**2 - 75*l/4 + 63/2.
(l - 3)**2*(l + 14)/4
What is u in 2*u**5 + 10*u**4 - 28*u**3 + 4*u**2 + 26*u - 14 = 0?
-7, -1, 1
Solve -5*j**4/2 + 3595*j**3 - 1724400*j**2 + 276476405*j - 549511195/2 = 0 for j.
1, 479
Factor -2*g**3 + 334*g**2 + 676*g.
-2*g*(g - 169)*(g + 2)
Find n such that -2*n**4/21 - 4*n**3/3 - 106*n**2/21 - 152*n/21 - 24/7 = 0.
-9, -2, -1
Factor 5*k**4/3 - 35*k**3/3 + 15*k**2 + 45*k - 90.
5*(k - 3)**3*(k + 2)/3
Determine j, given that -4*j**2 + 40*j - 84 = 0.
3, 7
Solve -3*i**2/4 - 72*i + 147 = 0.
-98, 2
Let -10*f**3/13 - 96*f**2/13 + 40*f/13 = 0. What is f?
-10, 0, 2/5
Determine i so that 10061824*i**5/21 + 5474816*i**4/21 + 857344*i**3/21 + 31040*i**2/21 + 424*i/21 + 2/21 = 0.
-1/4, -1/68
Factor z**3/6 + 107*z**2/6 + 468*z - 486.
(z - 1)*(z + 54)**2/