33, -1, 6
Factor a**4 + 12*a**3 + 11*a**2.
a**2*(a + 1)*(a + 11)
Suppose -15*b**5 - 351*b**4 - 2544*b**3 - 5544*b**2 - 1680*b + 3600 = 0. What is b?
-10, -2, 3/5
Factor l**3 - 3*l**2 + 3*l - 1.
(l - 1)**3
Factor -26*s**2/15 - 86*s/15 - 8/5.
-2*(s + 3)*(13*s + 4)/15
Factor 2*x**2 + 276*x + 9522.
2*(x + 69)**2
What is u in -14*u**5/13 - 60*u**4/13 - 58*u**3/13 + 44*u**2/13 + 72*u/13 + 16/13 = 0?
-2, -1, -2/7, 1
Factor f**2 - 15*f + 36.
(f - 12)*(f - 3)
What is b in -4*b**5/5 - 128*b**4/5 - 1164*b**3/5 - 432*b**2/5 + 22464*b/5 - 20736/5 = 0?
-12, 1, 3
Determine a so that 8*a**5/5 - 46*a**4/5 + 12*a**3 + 10*a**2 - 88*a/5 - 24/5 = 0.
-1, -1/4, 2, 3
Factor 2*w**4/15 - 26*w**3/3 + 966*w**2/5 - 7938*w/5 + 12348/5.
2*(w - 21)**3*(w - 2)/15
Factor -4*y**4 - 112*y**3 - 1168*y**2 - 5376*y - 9216.
-4*(y + 6)**2*(y + 8)**2
Factor -u**2/4 - 3*u/2 + 27/4.
-(u - 3)*(u + 9)/4
Factor o**3/7 + 39*o**2/7 + 164*o/7 - 204/7.
(o - 1)*(o + 6)*(o + 34)/7
Find y such that -y**4/7 - 6*y**3/7 - 5*y**2/7 + 24*y/7 + 36/7 = 0.
-3, -2, 2
Factor 2*l**3/13 + 4*l**2/13 - 2*l + 20/13.
2*(l - 2)*(l - 1)*(l + 5)/13
Factor -3*c**3 - 1809*c**2 - 10773*c - 16119.
-3*(c + 3)**2*(c + 597)
What is v in 5*v**3 + 5400*v**2 + 1458000*v = 0?
-540, 0
Let 3*r**2/2 + 15*r/2 + 6 = 0. Calculate r.
-4, -1
Factor -2*d**3 + 8*d**2 + 30*d - 36.
-2*(d - 6)*(d - 1)*(d + 3)
Suppose 3*r**5 - 186*r**4 + 3063*r**3 - 5580*r**2 + 2700*r = 0. Calculate r.
0, 1, 30
Determine y so that 5*y**5 + 60*y**4 - 70*y**3 - 60*y**2 + 65*y = 0.
-13, -1, 0, 1
What is o in -2*o**2/5 + 42*o/5 = 0?
0, 21
Let -t**4 + 4*t**3 - 6*t**2 + 4*t - 1 = 0. What is t?
1
Solve -4*a**4/9 + 22*a**3/9 - 4*a**2 + 8*a/9 + 16/9 = 0 for a.
-1/2, 2
Find d such that -5*d**4 - 15*d**3 + 55*d**2 + 15*d - 50 = 0.
-5, -1, 1, 2
Factor 96*i**3 + 4*i**2 - 96*i - 4.
4*(i - 1)*(i + 1)*(24*i + 1)
Find d such that -4*d**2 + 40*d = 0.
0, 10
Solve -a**3 + 132*a**2 + 267*a + 134 = 0 for a.
-1, 134
Factor m**3 - 1354*m**2 - 2711*m - 1356.
(m - 1356)*(m + 1)**2
Let -14*o**5 + 2*o**4/3 + 74*o**3/3 + 2*o**2 - 32*o/3 - 8/3 = 0. Calculate o.
-1, -2/3, -2/7, 1
Factor -5*z**3 + 5*z**2 + 805*z + 3675.
-5*(z - 15)*(z + 7)**2
Suppose 3*m**2/2 + 477*m/2 + 1155 = 0. What is m?
-154, -5
Suppose -2*m**2 - 1408*m - 2808 = 0. Calculate m.
-702, -2
Determine u so that 6*u**5/17 + 58*u**4/17 + 90*u**3/17 - 450*u**2/17 - 1296*u/17 - 648/17 = 0.
-6, -3, -2/3, 3
Factor -p**2 + 12*p - 20.
-(p - 10)*(p - 2)
Determine t, given that -3*t**5 + 5796*t**4 - 2811039*t**3 + 11180478*t**2 - 13951008*t + 5575776 = 0.
1, 2, 964
Factor -4*j**2/3 - 1568*j - 460992.
-4*(j + 588)**2/3
Factor 2*y**2 + 5464*y.
2*y*(y + 2732)
Factor -2*x**4 + 20*x**3 - 24*x**2 - 144*x.
-2*x*(x - 6)**2*(x + 2)
Solve -54*o**3/5 + 37206*o**2/5 - 8544978*o/5 + 654165538/5 = 0 for o.
689/3
Let -u**3/6 + 4*u**2/3 + 3*u/2 = 0. What is u?
-1, 0, 9
Let -2*p**4 + 2*p**3 + 4*p**2 = 0. Calculate p.
-1, 0, 2
Let n**5 - 50*n**4/3 - 73*n**3/3 + 16*n**2/3 + 12*n = 0. What is n?
-1, 0, 2/3, 18
Factor l**5 + 6870*l**4 + 18878760*l**3 + 25939416240*l**2 + 17820378956880*l + 4897040137350624.
(l + 1374)**5
Factor -c**2 - 224*c/3 + 25.
-(c + 75)*(3*c - 1)/3
Solve -3*r**3/7 - 4203*r**2/7 - 210600*r - 210000 = 0 for r.
-700, -1
Let -3*x**3 - 90*x**2 + 189*x - 96 = 0. Calculate x.
-32, 1
Factor -2*t**5/9 - 4*t**4/9 + 4*t**3 - 64*t**2/9 + 46*t/9 - 4/3.
-2*(t - 1)**4*(t + 6)/9
Suppose -2*f**4/13 + 14*f**3/13 + 2*f**2 - 206*f/13 + 168/13 = 0. What is f?
-4, 1, 3, 7
Factor -5*h**5 - 180*h**4 - 2180*h**3 - 10080*h**2 - 15680*h.
-5*h*(h + 4)**2*(h + 14)**2
Determine t, given that 35*t**4 + 59*t**3 + 28*t**2 + 4*t = 0.
-1, -2/5, -2/7, 0
Suppose 2*d**2 + 32*d - 72 = 0. What is d?
-18, 2
Find w such that w**3/3 + 83*w**2 + 328*w + 980/3 = 0.
-245, -2
Factor -m**2/6 - 100*m/3 - 5000/3.
-(m + 100)**2/6
Suppose 2*m**4 + 6*m**3 - 2*m**2 - 6*m = 0. Calculate m.
-3, -1, 0, 1
Find a, given that 3*a**4/7 + 12*a**3/7 + 15*a**2/7 + 6*a/7 = 0.
-2, -1, 0
Suppose -f**3 + 10*f**2 - 23*f + 14 = 0. What is f?
1, 2, 7
Let 5*f**3/6 - 70*f**2/3 - 1270*f/3 + 2800/3 = 0. Calculate f.
-14, 2, 40
Find y such that -2*y**3/3 - 40*y**2/3 - 34*y/3 + 76/3 = 0.
-19, -2, 1
Determine x, given that -3*x**3/4 - 741*x**2/4 - 11346*x + 11532 = 0.
-124, 1
Solve -3645*f**4 + 1004805*f**3 - 668790*f**2 + 148540*f - 11000 = 0 for f.
2/9, 275
Factor 3*s**2/8 + 33*s/4 + 255/8.
3*(s + 5)*(s + 17)/8
Determine l, given that 2*l**5 + 2*l**4 - 8*l**3 - 8*l**2 = 0.
-2, -1, 0, 2
Let 2*n**5/5 - 28*n**4/5 + 92*n**3/5 + 16*n**2 - 238*n/5 - 196/5 = 0. What is n?
-1, 2, 7
Suppose 2*k**2 + 14*k + 20 = 0. What is k?
-5, -2
Determine o so that o**2/3 - 1/3 = 0.
-1, 1
Let 3*l**2 - 102*l + 99 = 0. Calculate l.
1, 33
Factor -2*h**5/7 + 50*h**4/7 - 480*h**3/7 + 2160*h**2/7 - 4320*h/7 + 2592/7.
-2*(h - 6)**4*(h - 1)/7
Factor -5*x**3/3 + 10*x**2 + 95*x/3 - 40.
-5*(x - 8)*(x - 1)*(x + 3)/3
Factor 2*s**2/11 - 38*s/11 + 168/11.
2*(s - 12)*(s - 7)/11
Factor 5*f**3 + 220*f**2 - 235*f - 450.
5*(f - 2)*(f + 1)*(f + 45)
Factor 44*y**2/5 - 2076*y/5 + 376/5.
4*(y - 47)*(11*y - 2)/5
Let 4*w**3 - 144*w**2 + 140*w = 0. Calculate w.
0, 1, 35
Factor -h**3 + 26*h**2 + 55*h + 28.
-(h - 28)*(h + 1)**2
Suppose -3*m**3 - 66*m**2 + 387*m - 486 = 0. What is m?
-27, 2, 3
Factor -34*o**3 - 72*o**2 - 42*o - 4.
-2*(o + 1)**2*(17*o + 2)
Determine n so that 2*n**4/7 + 12*n**3/7 - 30*n**2/7 + 16*n/7 = 0.
-8, 0, 1
Factor -5*r**3 + 13780*r**2 - 27545*r + 13770.
-5*(r - 2754)*(r - 1)**2
Find n such that -490*n**5 + 5614*n**4/3 - 6610*n**3/3 + 2738*n**2/3 - 440*n/3 + 8 = 0.
1/7, 1/3, 6/5, 2
Factor -i**4/7 - 3*i**3/7 + 32*i**2/7 - 60*i/7 + 32/7.
-(i - 2)**2*(i - 1)*(i + 8)/7
Let -3*q**4 + 51*q**3 + 3*q**2 - 51*q = 0. What is q?
-1, 0, 1, 17
Let x**4/2 - 2*x**3 - x**2 + 6*x + 9/2 = 0. What is x?
-1, 3
Factor 841*z**2 - 116*z + 4.
(29*z - 2)**2
Solve 10*y**4 - 2205*y**3 - 1130*y**2 + 5535*y - 2210 = 0 for y.
-2, 1/2, 1, 221
Find w such that -4*w**2/3 - 6752*w/3 + 2252 = 0.
-1689, 1
Factor -4*a**4 + 16*a**3 - 16*a**2.
-4*a**2*(a - 2)**2
Factor 8*p**3/3 - 374*p**2/3 + 626*p/3 + 60.
2*(p - 45)*(p - 2)*(4*p + 1)/3
Factor -5*z**5 - 35*z**4 + 10*z**3 + 230*z**2 - 325*z + 125.
-5*(z - 1)**3*(z + 5)**2
Factor -4*g**2 - 472*g + 1452.
-4*(g - 3)*(g + 121)
Determine a so that 2*a**2 - 110*a - 3000 = 0.
-20, 75
Solve -4*d**2/5 + 3368*d/5 - 708964/5 = 0 for d.
421
Factor -2*z**2 + 10*z - 8.
-2*(z - 4)*(z - 1)
Determine p, given that p**2 + 162*p - 328 = 0.
-164, 2
Suppose 2*i**3 + 12*i**2 - 30*i + 16 = 0. Calculate i.
-8, 1
Factor j**3 + 491*j**2 + 60515*j + 60025.
(j + 1)*(j + 245)**2
Factor -o**2/2 - 49*o/2 + 51.
-(o - 2)*(o + 51)/2
Determine f so that f**3 - 822*f**2 + 1641*f - 820 = 0.
1, 820
Solve 2*v**2/11 - 368*v/11 + 16928/11 = 0.
92
Suppose -2*w**5/7 + 8*w**4/7 - 8*w**3/7 - 4*w**2/7 + 10*w/7 - 4/7 = 0. Calculate w.
-1, 1, 2
What is z in 131220*z**3 + 129924*z**2 - 6464*z/5 + 16/5 = 0?
-1, 2/405
Suppose -2*l**4/5 + 43*l**3/5 + 116*l**2/5 + 19*l + 24/5 = 0. What is l?
-1, -1/2, 24
Solve -2*m**5/7 + 12*m**4/7 + 16*m**3/7 - 96*m**2/7 - 32*m/7 + 192/7 = 0.
-2, 2, 6
Suppose 1445*y**5 - 14790*y**4 + 27985*y**3 + 34480*y**2 - 9180*y + 560 = 0. Calculate y.
-1, 2/17, 4, 7
Let -o**2/5 - 8*o/5 + 13 = 0. What is o?
-13, 5
Solve 2*h**4 + 22*h**3/15 - 16*h**2/15 - 8*h/15 = 0.
-1, -2/5, 0, 2/3
Factor 2*u**2/3 - 6*u.
2*u*(u - 9)/3
Factor -4*y**4 - 232*y**3 - 3360*y**2 + 232*y + 3364.
-4*(y - 1)*(y + 1)*(y + 29)**2
Factor 5*k**3/4 + 180*k**2 + 1425*k/4 + 355/2.
5*(k + 1)**2*(k + 142)/4
Factor 228*v**3 + 3*v**2 - 228*v - 3.
3*(v - 1)*(v + 1)*(76*v + 1)
Factor 27*l**3 + 48*l**2 - 148*l - 112.
(l - 2)*(3*l + 2)*(9*l + 28)
Determine y, given that 5*y**5 + 20*y**4 - 25*y**3 - 100*y**2 + 20*y + 80 = 0.
-4, -2, -1, 1, 2
Find p, given that -p**5/6 + p**4/2 + 11*p**3/3 + 19*p**2/3 + 9*p/2 + 7/6 = 0.
-1, 7
Factor -d**2 + 71*d + 300.
-(d - 75)*(d + 4)
Factor 2*d**3/7 - 166*d**2/7 - 1640*d/7 - 1472/7.
2*(d - 92)*(d + 1)*(d + 8)/7
Find a such that -4*a**5/3 - 35*a**4/3 + 25*a**3/3 + 140*a**2/3 - 12*a = 0.
-9, -2, 0, 1/4, 2
Determine y, given that -y**5/12 - 11*y**4/12 - 17*y**3/6 - 7*y**2/6 + 35*y/12 + 25/12 = 0.
-5, -1, 1
Let -2*o**4 + 110*o**3 - 1246*o**2 + 4018*o = 0. What is o?
0, 7, 41
Factor -12*k**3/5 + 33*k**2/5 + 18*k/5 - 27/5.
-3*(k - 3)*(k + 1)*(4*k - 3)/5
Factor