0 = 0.
-2, 2/5, 15
Factor 2*t**3/3 - 8*t**2 - 18*t - 28/3.
2*(t - 14)*(t + 1)**2/3
Determine d so that -56*d**4/3 + 692*d**3/3 + 1290*d**2 + 2061*d + 1062 = 0.
-3/2, 118/7
Factor -p**4/6 + 2*p**3 + 19*p**2/6 - 13*p.
-p*(p - 13)*(p - 2)*(p + 3)/6
Determine f so that -5*f**2 + 55*f - 90 = 0.
2, 9
Factor 5*n**2 + 440*n - 8925.
5*(n - 17)*(n + 105)
Find w such that -2*w**3 - 28*w**2 - 98*w - 72 = 0.
-9, -4, -1
Let -4*g**3 + 32*g**2 - 68*g + 40 = 0. What is g?
1, 2, 5
Factor 12*f**2 + 1010*f + 168.
2*(f + 84)*(6*f + 1)
Factor -n**3 + n**2 + 2*n.
-n*(n - 2)*(n + 1)
Factor -2*i**3 + 28*i**2 - 88*i + 80.
-2*(i - 10)*(i - 2)**2
Suppose -k**3/7 + 11*k**2/7 + 116*k/7 + 180/7 = 0. Calculate k.
-5, -2, 18
Factor -3*g**4 + 192*g**3 + 1689*g**2 + 2790*g + 1296.
-3*(g - 72)*(g + 1)**2*(g + 6)
Factor -3*m**3 + 1700*m**2 + 569*m - 1134.
-(m - 567)*(m + 1)*(3*m - 2)
Factor j**5 - 66*j**4 + 1213*j**3 - 4092*j**2 + 3844*j.
j*(j - 31)**2*(j - 2)**2
Determine k, given that -2*k**4 + 24*k**3 - 64*k**2 - 96*k + 288 = 0.
-2, 2, 6
Factor c**2/3 - 12*c + 81.
(c - 27)*(c - 9)/3
Factor 4*a**5 - 2*a**4 - 2*a**3.
2*a**3*(a - 1)*(2*a + 1)
Let -15*t**3 + 200*t**2 - 605*t + 180 = 0. Calculate t.
1/3, 4, 9
Factor -4*o**5 - 28*o**4 - 32*o**3 + 64*o**2.
-4*o**2*(o - 1)*(o + 4)**2
Factor 2*a**3/17 + 28*a**2/17 + 48*a/17.
2*a*(a + 2)*(a + 12)/17
Let -3*p**2 - 42*p - 99 = 0. What is p?
-11, -3
Factor -2*r**2/9 - 32*r/9 - 26/3.
-2*(r + 3)*(r + 13)/9
Determine c, given that 50*c**5 + 65*c**4 - 1085*c**3 + 1870*c**2 - 540*c - 360 = 0.
-6, -3/10, 1, 2
Find n such that -3*n**4 - 18*n**3 - 3*n**2 + 72*n - 48 = 0.
-4, 1
Find f, given that -9*f**4 - 87*f**3 - 189*f**2 + 135*f + 150 = 0.
-5, -2/3, 1
Let -350*m**3 - 27260*m**2 + 21832*m/7 - 624/7 = 0. What is m?
-78, 2/35
Factor 21*r**2 - 327*r/5 + 36/5.
3*(r - 3)*(35*r - 4)/5
Factor 2*s**4 + 1360*s**3 + 346800*s**2 + 39304000*s + 1670420000.
2*(s + 170)**4
Factor 27*n**4 - 63*n**3 - 51*n**2 - 9*n.
3*n*(n - 3)*(3*n + 1)**2
Find r such that r**2 - 4*r - 5 = 0.
-1, 5
What is u in -4*u**4/7 + 5624*u**3/7 - 11236*u**2/7 + 5616*u/7 = 0?
0, 1, 1404
Factor k**4/2 - 609*k**3/2 + 1514*k**2 - 2418*k + 1208.
(k - 604)*(k - 2)**2*(k - 1)/2
Determine i, given that -2*i**5/13 + 16*i**4/13 - 30*i**3/13 - 8*i**2/13 + 40*i/13 = 0.
-1, 0, 2, 5
Let 2*g**2/3 + 146*g/3 = 0. Calculate g.
-73, 0
Factor -4*g**4 - 128*g**3 - 348*g**2 + 16*g + 464.
-4*(g - 1)*(g + 2)**2*(g + 29)
Determine t so that -4*t**4/3 + 8*t**3 + 224*t**2/3 - 8*t - 220/3 = 0.
-5, -1, 1, 11
Determine p, given that 3*p**5 + 3261*p**4 + 884544*p**3 - 887808*p**2 = 0.
-544, 0, 1
Factor -162*f**3 + 36*f**2 - 2*f.
-2*f*(9*f - 1)**2
Suppose 2*o**2/15 + 454*o/15 - 916/15 = 0. Calculate o.
-229, 2
Let -2*z**3/9 + 20*z**2 + 62*z/3 - 364/9 = 0. Calculate z.
-2, 1, 91
Factor -36*h**4 - 12*h**3 + 83*h**2 + 14*h - 49.
-(h - 1)**2*(6*h + 7)**2
Find s, given that 3*s**4/5 - 23*s**3/5 + 62*s**2/5 - 68*s/5 + 24/5 = 0.
2/3, 2, 3
Factor v**3/4 + 7*v**2 - 31*v/4 - 29/2.
(v - 2)*(v + 1)*(v + 29)/4
Factor v**3 - 12*v**2.
v**2*(v - 12)
Factor -4*p**4 - 60*p**3 - 244*p**2 - 84*p + 392.
-4*(p - 1)*(p + 2)*(p + 7)**2
Factor 500*r**3 - 2200*r**2 + 3145*r - 1445.
5*(r - 1)*(10*r - 17)**2
Factor 44*a**4 - 31028*a**3 + 7295340*a**2 - 572351900*a + 103823000.
4*(a - 235)**3*(11*a - 2)
Suppose 3*m**3 - 798*m**2 - 3*m + 798 = 0. What is m?
-1, 1, 266
Factor 620*j**2/7 + 626*j/7 + 6/7.
2*(j + 1)*(310*j + 3)/7
Factor -d**3/3 - 28*d**2/3 - 100*d/3 - 32.
-(d + 2)**2*(d + 24)/3
Factor 2*l**3/7 - 220*l**2/7 + 1258*l/7 - 1040/7.
2*(l - 104)*(l - 5)*(l - 1)/7
Factor -3*x**2 - 297*x + 606.
-3*(x - 2)*(x + 101)
Factor 3*f**3 + 147*f**2 - 12*f - 588.
3*(f - 2)*(f + 2)*(f + 49)
Determine k, given that -2*k**2/7 + 14*k + 100/7 = 0.
-1, 50
Solve 21*p**5 + 132*p**4 + 225*p**3 + 138*p**2 + 24*p = 0.
-4, -1, -2/7, 0
What is b in 3*b**4/2 + 51*b**3 - 6*b**2 - 204*b = 0?
-34, -2, 0, 2
Factor 2*k**3/5 + 8*k**2/5 - 2*k.
2*k*(k - 1)*(k + 5)/5
Determine s so that -2*s**4/7 + 26*s**3/7 - 58*s**2/7 - 26*s/7 + 60/7 = 0.
-1, 1, 3, 10
Factor -b**3 - 19*b**2 - 51*b + 351.
-(b - 3)*(b + 9)*(b + 13)
Factor -3*t**2/4 - 1812*t - 1094448.
-3*(t + 1208)**2/4
Factor 42*q**2 + 244*q/3 - 16/3.
2*(q + 2)*(63*q - 4)/3
Let i**2 - i/2 - 3 = 0. Calculate i.
-3/2, 2
Solve -3*f**3 + 246*f**2 = 0.
0, 82
Factor -r**3/2 + 35*r**2/2 - 323*r/2 + 289/2.
-(r - 17)**2*(r - 1)/2
Determine b so that -4*b**4 - 16*b**3 - 24*b**2 - 16*b - 4 = 0.
-1
Solve w**3/2 + 4*w**2 + 17*w/2 + 5 = 0 for w.
-5, -2, -1
Factor 5*p**3 + 2495*p**2 + 312495*p + 310005.
5*(p + 1)*(p + 249)**2
Factor -3*u**3 + 1143*u**2 - 4536*u + 4524.
-3*(u - 377)*(u - 2)**2
Solve 3*k**4 - 78*k**3 + 144*k**2 = 0.
0, 2, 24
Solve 2*i**2/9 + 152*i/9 + 50/3 = 0.
-75, -1
Factor -4*x**2 + 2832*x - 501264.
-4*(x - 354)**2
Suppose f**4 + 5*f**3 + 3*f**2 - 5*f - 4 = 0. Calculate f.
-4, -1, 1
Find r such that 3*r**4/4 - 105*r**3/4 - 219*r**2/4 - 111*r/4 = 0.
-1, 0, 37
What is c in -2*c**5 - 218*c**4 - 1058*c**3 - 1886*c**2 - 1460*c - 416 = 0?
-104, -2, -1
Factor -m**3/3 - 4*m**2/3 + 4*m.
-m*(m - 2)*(m + 6)/3
Factor -69*a**2/7 + 144*a/7 - 12/7.
-3*(a - 2)*(23*a - 2)/7
Factor -g**2/7 + 2*g/7 + 8/7.
-(g - 4)*(g + 2)/7
Factor 5*f**2 + 14*f - 3.
(f + 3)*(5*f - 1)
Suppose -4*b**5/5 + 1768*b**4/5 - 13976*b**3/5 + 38288*b**2/5 - 8340*b + 15624/5 = 0. What is b?
1, 3, 434
Factor 2*o**3 - 1462*o**2 + 267910*o - 266450.
2*(o - 365)**2*(o - 1)
Solve 8*k**4 - 562*k**3 + 692*k**2 - 138*k = 0 for k.
0, 1/4, 1, 69
Factor -4*w**4 - 48*w**3 - 212*w**2 - 408*w - 288.
-4*(w + 2)*(w + 3)**2*(w + 4)
Factor 5*m**5 - 20*m**4 + 5*m**3 + 30*m**2.
5*m**2*(m - 3)*(m - 2)*(m + 1)
Find k such that -k**5/3 - 17*k**4/3 - 23*k**3 - 115*k**2/3 - 86*k/3 - 8 = 0.
-12, -2, -1
Solve -3*v**4 + 333*v**3 + 738*v**2 - 6852*v + 8136 = 0 for v.
-6, 2, 113
Suppose -35*u**5 - 10*u**4 + 70*u**3 + 20*u**2 - 35*u - 10 = 0. What is u?
-1, -2/7, 1
Factor -2*f**4/5 - 12*f**3 - 112*f**2/5.
-2*f**2*(f + 2)*(f + 28)/5
Factor 5*h**5 + 15*h**4 + 5*h**3 - 15*h**2 - 10*h.
5*h*(h - 1)*(h + 1)**2*(h + 2)
Factor -3*b**4 + 12*b**3 + 630*b**2 + 3900*b + 7125.
-3*(b - 19)*(b + 5)**3
Factor -z**3/7 + z**2 + 17*z/7 + 9/7.
-(z - 9)*(z + 1)**2/7
Determine a so that -a**2 + a + 90 = 0.
-9, 10
Determine b so that -22*b**3 - 130*b**2 - 164*b + 16 = 0.
-4, -2, 1/11
Factor -p**2/7 + 3*p/7 - 2/7.
-(p - 2)*(p - 1)/7
Determine p so that -2*p**2/3 - 20*p + 234 = 0.
-39, 9
What is m in 4*m**4 - 40*m**3 + 96*m**2 - 88*m + 28 = 0?
1, 7
Factor -5*z**4 - 135*z**3 - 1185*z**2 - 3685*z - 3630.
-5*(z + 2)*(z + 3)*(z + 11)**2
Factor g**5 - 8*g**4 + 5*g**3 + 14*g**2.
g**2*(g - 7)*(g - 2)*(g + 1)
Factor -w**5/2 + 9*w**4 + 39*w**3/2 + 10*w**2.
-w**2*(w - 20)*(w + 1)**2/2
Suppose 2*h**3/9 + 80*h**2/9 + 26*h/3 = 0. Calculate h.
-39, -1, 0
Factor -414*y**3/5 - 699*y**2/5 - 3*y.
-3*y*(3*y + 5)*(46*y + 1)/5
Let 129*d**2/7 - 264*d/7 + 12/7 = 0. Calculate d.
2/43, 2
Solve -3*d**3 + 11*d**2 + 14*d = 0.
-1, 0, 14/3
Factor 4*v**4 + 4*v**3 - 132*v**2 + 236*v - 112.
4*(v - 4)*(v - 1)**2*(v + 7)
Factor o**4 - 24*o**3 + 144*o**2.
o**2*(o - 12)**2
Factor 2*b**2/13 + 94*b/13.
2*b*(b + 47)/13
Find h, given that h**4/4 - 51*h**3/4 + 25*h**2/2 = 0.
0, 1, 50
Determine s, given that s**3/2 + 81*s**2 + 161*s/2 = 0.
-161, -1, 0
Factor -3*c**2 - 18348*c - 28054092.
-3*(c + 3058)**2
Factor q**5 - 4*q**4 - 7*q**3 + 10*q**2.
q**2*(q - 5)*(q - 1)*(q + 2)
Suppose 4*v**3/7 + 20*v**2/7 + 16*v/7 = 0. Calculate v.
-4, -1, 0
Factor 14*q**4 - 920*q**3 + 2382*q**2 + 756*q.
2*q*(q - 63)*(q - 3)*(7*q + 2)
Factor 4*z**2/5 - 276*z/5 + 272/5.
4*(z - 68)*(z - 1)/5
Factor -3*n**4 + 2223*n**3 + 8928*n**2 + 8940*n.
-3*n*(n - 745)*(n + 2)**2
Factor 4*s**2 - 1080*s + 72900.
4*(s - 135)**2
Let -2*i**3 - 12*i**2 - 10*i = 0. What is i?
-5, -1, 0
Find l such that 12*l**5 - 228*l**4 + 327*l**3 + 1320*l**2 + 957*l + 204 = 0.
-1, -1/2, 4, 17
What is l in -7*l**5 - 93*l**4 - 460*l**3 - 1020*l**2 - 928*l - 192 = 0?
-4, -3, -2, -2/7
Factor 45*h**2 + 849*h - 114.
3*(h + 19)*(15*h - 2)
Factor o**5/2 + 12*o**4/5 + 21*o**3/5 + 16*o**2/5 + 9*o/10.
o*(o + 1)**3*(5*o + 9)/10
Determine l so that 3*l**3 - 93*l + 90 = 0.
-6, 1, 5
Factor -3*a**3/8 + 15*a**2/8 + 123*a/8 - 135/8.
-3*(a - 9)*(a - 1)*(a + 5)/8
Solve y**2/3 - 1724*y/3 + 1723/3 = 0.
1, 1723
Factor -4*s**4/3 + 480*s**3 - 