 10
Suppose r**2/3 + 1114*r/3 - 744 = 0. Calculate r.
-1116, 2
Factor 2*h**4 - 8680*h**3 + 14126700*h**2 - 10218313000*h + 2771717401250.
2*(h - 1085)**4
Factor 9*h**3 + 21*h**2 - 270*h + 168.
3*(h - 4)*(h + 7)*(3*h - 2)
Factor -5*k**2 + 1430*k - 2840.
-5*(k - 284)*(k - 2)
Factor j**2/2 - 168*j + 990.
(j - 330)*(j - 6)/2
Factor 5*b**3 + 15*b**2 + 10*b.
5*b*(b + 1)*(b + 2)
Find n, given that -4*n**4/7 + 1200*n**3/7 + 2412*n**2/7 + 1208*n/7 = 0.
-1, 0, 302
Factor -1058*i**3 + 5106*i**2 + 912*i + 40.
-2*(i - 5)*(23*i + 2)**2
What is l in l**2 - 201*l + 200 = 0?
1, 200
Suppose i**4/3 - 124*i**3/3 - 1040*i**2/3 - 704*i = 0. What is i?
-4, 0, 132
Factor 2*t**2/11 - 136*t/11 + 2312/11.
2*(t - 34)**2/11
Let z**3/7 - 4*z**2/7 - 4*z/7 + 16/7 = 0. Calculate z.
-2, 2, 4
Solve d**4 - 14*d**3 - 31*d**2 - 16*d = 0 for d.
-1, 0, 16
Suppose -2*q**2/7 - 2*q/7 + 40/7 = 0. Calculate q.
-5, 4
Find r, given that -2*r**2/11 - 108*r - 16038 = 0.
-297
Factor 3*c**3 + 327*c**2 - 15675*c + 159201.
3*(c - 19)**2*(c + 147)
Let -a**5/2 - a**4 + 2*a**3 + a**2 - 3*a/2 = 0. What is a?
-3, -1, 0, 1
Factor j**3 + 28*j**2 - 1819*j + 17918.
(j - 17)**2*(j + 62)
Suppose -2*a**2/5 + 42*a/5 = 0. What is a?
0, 21
What is t in 2*t**5/13 - 16*t**4/13 + 32*t**3/13 - 4*t**2/13 - 34*t/13 + 20/13 = 0?
-1, 1, 2, 5
Factor -4*j**5 - 360*j**4 - 11460*j**3 - 157280*j**2 - 971520*j - 2230272.
-4*(j + 8)**3*(j + 33)**2
Factor -3*t**4 - 33*t**3 - 108*t**2 - 48*t + 192.
-3*(t - 1)*(t + 4)**3
Factor 3*k**2 - 1479*k + 4410.
3*(k - 490)*(k - 3)
Solve 5*l**4 + 20*l**3 - 735*l**2 + 3350*l - 4000 = 0.
-16, 2, 5
Let -2*q**2 - 202*q = 0. Calculate q.
-101, 0
Solve -3*q**2 + 90*q + 408 = 0 for q.
-4, 34
Let -18*i**4 - 14922*i**3 - 14910*i**2 - 14906*i/3 - 552 = 0. Calculate i.
-828, -1/3
Solve 20*n**5 - 56*n**4 + 48*n**3 - 8*n**2 - 4*n = 0.
-1/5, 0, 1
Solve -64*y**4/3 + 19616*y**3/3 + 9876*y**2 - 18488*y/3 + 2464/3 = 0 for y.
-2, 1/4, 308
Suppose -5*f**4 - 60*f**3 + 300*f**2 - 320*f = 0. What is f?
-16, 0, 2
Suppose 3*s**2 + 198*s + 195 = 0. Calculate s.
-65, -1
Factor 2*v**2/13 + 12384*v/13 + 12382/13.
2*(v + 1)*(v + 6191)/13
Factor -20*c**4 + 48*c**3 + 464*c**2 - 192*c.
-4*c*(c - 6)*(c + 4)*(5*c - 2)
Find m, given that -2*m**4/15 - 4*m**3/15 + 4*m/15 + 2/15 = 0.
-1, 1
Factor 2*i**4/3 + 22*i**3/3 - 14*i**2 - 1078*i/3 - 2744/3.
2*(i - 7)*(i + 4)*(i + 7)**2/3
Solve 2*s**4/11 + 8*s**3/11 - 34*s**2/11 - 120*s/11 = 0.
-5, -3, 0, 4
What is c in 4*c**5/3 - 28*c**4 + 356*c**3/3 - 604*c**2/3 + 152*c - 128/3 = 0?
1, 2, 16
Factor -3*n**4 + 1748*n**3 + 585*n**2 - 1166*n.
-n*(n - 583)*(n + 1)*(3*n - 2)
Suppose 2*l**3/3 - 26*l**2/3 - 20*l = 0. What is l?
-2, 0, 15
Determine a, given that 2*a**5 - 32*a**4 + 74*a**3 + 76*a**2 - 328*a + 208 = 0.
-2, 1, 2, 13
Let -10*o**3/3 + 1845*o**2 - 920*o - 2765/3 = 0. Calculate o.
-1/2, 1, 553
Suppose 3*y**2/2 - 1971*y/2 + 1965 = 0. Calculate y.
2, 655
Find m such that -6*m**2 - 3*m + 3 = 0.
-1, 1/2
Factor 3*m**3/2 + 243*m**2 + 13122*m + 236196.
3*(m + 54)**3/2
Find z, given that -z**2 + 797*z + 798 = 0.
-1, 798
Factor -5*o**4 - 55*o**3 + 15*o**2 + 155*o - 110.
-5*(o - 1)**2*(o + 2)*(o + 11)
Determine f so that 2*f**4 + 116*f**3 + 162*f**2 - 3416*f + 3136 = 0.
-56, -7, 1, 4
Factor -w**4/2 - 2350*w**3 + 7053*w**2 - 7054*w + 4703/2.
-(w - 1)**3*(w + 4703)/2
Find k, given that 3*k**4 - 19*k**3 - 21*k**2 + 51*k - 14 = 0.
-2, 1/3, 1, 7
What is n in 4*n**3/7 - 860*n**2/7 = 0?
0, 215
Determine a, given that 196*a**2/5 - 2688*a/5 + 9216/5 = 0.
48/7
Factor -3*p**2/7 + 648*p/7 + 1308/7.
-3*(p - 218)*(p + 2)/7
Solve -68*k**4 - 202*k**3 - 130*k**2 + 4*k = 0.
-2, -1, 0, 1/34
Find d, given that d**5 - 8*d**4 - d**3 + 8*d**2 = 0.
-1, 0, 1, 8
Suppose 2*z**3/3 + 4*z**2/3 - 2*z/3 - 4/3 = 0. What is z?
-2, -1, 1
Find z, given that 15*z**4 + 24*z**3 - 657*z**2 + 858*z - 240 = 0.
-8, 2/5, 1, 5
Find z, given that 4*z**3 + 64*z**2 - 560*z - 9408 = 0.
-14, 12
Suppose -o**4/2 + o**3 + 2*o**2 - o - 3/2 = 0. Calculate o.
-1, 1, 3
Suppose -3*k**5 - 60*k**4 - 54*k**3 + 60*k**2 + 57*k = 0. What is k?
-19, -1, 0, 1
Factor -3*o**5 - 84*o**4 - 234*o**3 + 1236*o**2 - 1419*o + 504.
-3*(o - 1)**3*(o + 7)*(o + 24)
Factor t**4/4 + 23*t**3 + 1395*t**2/2 + 6727*t - 29791/4.
(t - 1)*(t + 31)**3/4
Let 2*o**3/5 + 6*o**2/5 - 2*o/5 - 6/5 = 0. Calculate o.
-3, -1, 1
Determine j, given that -j**4 - 2*j**3 + 19*j**2 - 28*j + 12 = 0.
-6, 1, 2
Factor -312*m**2/11 + 314*m/11 - 2/11.
-2*(m - 1)*(156*m - 1)/11
Find c such that -14*c**5/11 - 6*c**4 - 2*c**3 + 82*c**2/11 + 36*c/11 - 16/11 = 0.
-4, -1, 2/7, 1
What is u in u**2 + 119*u - 120 = 0?
-120, 1
Factor 5*y**3 - 1485*y**2 + 2955*y - 1475.
5*(y - 295)*(y - 1)**2
Factor 2*a**3/5 + 48*a**2 + 6696*a/5 - 30752/5.
2*(a - 4)*(a + 62)**2/5
Factor -2*u**5 + 36*u**4 - 214*u**3 + 396*u**2 + 216*u - 432.
-2*(u - 6)**3*(u - 1)*(u + 1)
Determine r, given that 4*r**2 + 84*r + 272 = 0.
-17, -4
Factor -5*j**3 + 135*j**2 - 1215*j + 3645.
-5*(j - 9)**3
Let -3*u**5/5 - 462*u**4/5 + 1878*u**3/5 - 2832*u**2/5 + 1893*u/5 - 474/5 = 0. Calculate u.
-158, 1
Factor -4*n**4/7 + 20*n**3/7 + 396*n**2/7 + 1404*n/7 + 216.
-4*(n - 14)*(n + 3)**3/7
Factor 2*y**3/3 - 12*y**2 + 58*y/3 + 32.
2*(y - 16)*(y - 3)*(y + 1)/3
Solve -b**3/2 - 143*b**2/2 + 3060*b - 28998 = 0 for b.
-179, 18
Factor 4*m**4 - 40*m**3 + 84*m**2 + 16*m - 112.
4*(m - 7)*(m - 2)**2*(m + 1)
Factor -3*l**4 + 6*l**3 + 27*l**2 - 54*l.
-3*l*(l - 3)*(l - 2)*(l + 3)
Suppose 21*y**5 + 141*y**4 + 294*y**3 + 156*y**2 - 72*y = 0. What is y?
-3, -2, 0, 2/7
Factor 5*d**5 - 2880*d**4 + 423285*d**3 - 2470990*d**2 + 4896300*d - 3249000.
5*(d - 285)**2*(d - 2)**3
Factor w**4/5 - 62*w**3/5 + 1129*w**2/5 - 5208*w/5 + 7056/5.
(w - 28)**2*(w - 3)**2/5
Let -4*u**2 - 48*u - 44 = 0. Calculate u.
-11, -1
Factor 3*y**3 + 39*y**2 + 156*y + 180.
3*(y + 2)*(y + 5)*(y + 6)
Factor -o**2/4 + 35*o/2 - 1225/4.
-(o - 35)**2/4
Factor -3*w**2 + 2778*w.
-3*w*(w - 926)
Let -f**5/2 - 3*f**4 - 13*f**3/2 - 6*f**2 - 2*f = 0. Calculate f.
-2, -1, 0
Factor q**4/4 + 39*q**3/2 - 3*q**2/4 - 59*q - 39.
(q - 2)*(q + 1)**2*(q + 78)/4
Find w such that -6*w**5/13 - 16*w**4/13 + 40*w**3/13 + 32*w**2/13 = 0.
-4, -2/3, 0, 2
Factor -10*y**4/13 - 44*y**3/13 + 118*y**2/13 - 64*y/13.
-2*y*(y - 1)**2*(5*y + 32)/13
Factor 5*o**2 - 30*o - 360.
5*(o - 12)*(o + 6)
Factor -23*k**3/2 - 137*k**2/2 - 89*k + 4.
-(k + 2)*(k + 4)*(23*k - 1)/2
Factor 2*y**2/3 - 18*y + 340/3.
2*(y - 17)*(y - 10)/3
Factor -s**5/3 - 10*s**4/3 - 13*s**3/3 + 20*s**2 - 12*s.
-s*(s - 1)**2*(s + 6)**2/3
Determine f so that f**2/4 - 83*f/2 + 6889/4 = 0.
83
Factor -2*v**3/7 + 18*v**2/7 + 44*v/7.
-2*v*(v - 11)*(v + 2)/7
Determine y, given that -3249*y**3/8 - 2071*y**2 - 845*y/2 - 22 = 0.
-44/9, -2/19
Find m, given that -9*m**5 + 21*m**4 + 30*m**3 - 30*m**2 - 21*m + 9 = 0.
-1, 1/3, 1, 3
Factor c**3/4 - 3*c**2/2 + 2*c.
c*(c - 4)*(c - 2)/4
Determine s so that 2*s**3/5 - 1494*s**2/5 + 282702*s/5 - 275282 = 0.
5, 371
Solve -5*a**2/4 + 579*a/4 + 29 = 0 for a.
-1/5, 116
Solve -2*v**3/5 - 58*v**2 = 0.
-145, 0
Suppose 2*b**2/5 + 14*b - 72/5 = 0. What is b?
-36, 1
Find l, given that 2*l**5/7 - 44*l**4/7 - 314*l**3/7 - 604*l**2/7 - 48*l = 0.
-3, -2, -1, 0, 28
Factor 2*f**2/3 + 1888*f/3 + 445568/3.
2*(f + 472)**2/3
Factor -2*f**2 + 32*f + 520.
-2*(f - 26)*(f + 10)
Factor 2*g**3/3 - 4*g**2 + 16*g/3.
2*g*(g - 4)*(g - 2)/3
Find d such that -6*d**5/13 + 8*d**4 - 28*d**3/13 - 8*d**2 + 34*d/13 = 0.
-1, 0, 1/3, 1, 17
Determine j so that 2*j**4/7 + 278*j**3/7 + 276*j**2/7 = 0.
-138, -1, 0
Factor 2*b**4/9 - 28*b**3/9 + 128*b**2/9 - 76*b/3 + 14.
2*(b - 7)*(b - 3)**2*(b - 1)/9
Factor 2*a**3/11 + 2160*a**2/11 + 777600*a/11 + 93312000/11.
2*(a + 360)**3/11
Solve -f**3/5 - 6*f**2/5 - 3*f/5 + 2 = 0 for f.
-5, -2, 1
Factor f**3 - 4215*f**2 + 5922075*f - 2773505125.
(f - 1405)**3
Solve 6*l**5 + 21*l**4 + 9*l**3 = 0 for l.
-3, -1/2, 0
Solve -3*j**3/4 - 9*j**2/2 + 45*j/4 - 6 = 0 for j.
-8, 1
Suppose 2*y**3 - 22*y**2 + 64*y - 56 = 0. What is y?
2, 7
Factor 1863*u**3 - 2223*u**2 + 348*u + 12.
3*(u - 1)*(9*u - 2)*(69*u + 2)
Let -2*z**2/5 + 26*z = 0. What is z?
0, 65
Factor -6*o**2 + 2414*o + 1612.
-2*(o - 403)*(3*o + 2)
Factor -5*a**2 + 215*a - 410.
-5*(a - 41)*(a - 2)
Suppose t**2/3 - 304*t/3 + 23104/3 = 0. Calculate t.
152
Factor 2*j**2/9 - 136*j/9 - 46/3.
2*(j - 69)*(j + 1)/