879*h**2/4 + 549*h + 459 = 0?
-34, -3, -2
What is b in -5*b**2 - 1060*b - 56180 = 0?
-106
Factor t**3/2 - 27*t**2/2 + 34*t + 48.
(t - 24)*(t - 4)*(t + 1)/2
Factor -9*c**4 - 18*c**3 - 12*c**2 - 8*c/3.
-c*(3*c + 2)**3/3
Factor -2*w**4 - 12*w**3 - 16*w**2 + 12*w + 18.
-2*(w - 1)*(w + 1)*(w + 3)**2
Factor 2*q**4/5 - 22*q**3/5 + 4*q**2.
2*q**2*(q - 10)*(q - 1)/5
Factor 2*v**4 + 48*v**3 + 126*v**2 - 8*v - 168.
2*(v - 1)*(v + 2)**2*(v + 21)
Factor 5*n**3/3 - 415*n**2/3 - 3580*n/3 - 1820.
5*(n - 91)*(n + 2)*(n + 6)/3
Find n, given that -242*n**5 - 396*n**4 + 3314*n**3 - 3580*n**2 + 984*n - 80 = 0.
-5, 2/11, 1, 2
Find n, given that 5*n**4/2 - 3230*n**3 + 1564935*n**2 - 336982670*n + 54422701205/2 = 0.
323
What is m in -m**2/5 - 15842*m/5 - 62742241/5 = 0?
-7921
Let 27*t**3 - 438*t**2 - 876*t + 216 = 0. Calculate t.
-2, 2/9, 18
Factor -3*j**3/4 + 3*j/4.
-3*j*(j - 1)*(j + 1)/4
Suppose 5*k**5 - 17*k**4 - 4*k**3 + 64*k**2 - 64*k + 16 = 0. What is k?
-2, 2/5, 1, 2
Factor -q**2 - 16*q + 17.
-(q - 1)*(q + 17)
Find q such that -2*q**2/7 - 1214*q/7 = 0.
-607, 0
Factor -2*u**3 + 240*u**2 - 7434*u + 13924.
-2*(u - 59)**2*(u - 2)
Let -o**3/3 - 10*o**2/3 = 0. What is o?
-10, 0
What is m in m**3/3 - m**2/3 - 3*m + 3 = 0?
-3, 1, 3
Factor -9*o**2 + 210*o + 144.
-3*(o - 24)*(3*o + 2)
Solve -2*r**4/19 + 112*r**3/19 - 72*r**2 = 0 for r.
0, 18, 38
Factor h**2/5 - 16*h/5 + 3.
(h - 15)*(h - 1)/5
Let -r**3/4 + r**2 = 0. Calculate r.
0, 4
Suppose 3*o**2/7 - 60*o/7 + 57/7 = 0. Calculate o.
1, 19
Suppose -3*g**2 - 786*g - 51483 = 0. Calculate g.
-131
Factor a**4/4 - 80*a**3 - 1947*a**2/4 - 1465*a/2 - 326.
(a - 326)*(a + 1)**2*(a + 4)/4
Find i such that 3*i**3/8 + 57*i**2 + 13695*i/8 - 144669/4 = 0.
-83, 14
What is r in 15*r**4/2 - 48*r**3 - 99*r**2/2 + 132*r - 42 = 0?
-2, 2/5, 1, 7
Factor -3*x**2 - 15*x + 42.
-3*(x - 2)*(x + 7)
Suppose -4*b**2 - 2340*b - 4664 = 0. What is b?
-583, -2
Factor -2*u**2 + 560*u - 558.
-2*(u - 279)*(u - 1)
Factor -2*t**2/7 + 88*t/7.
-2*t*(t - 44)/7
Factor -4*w**3 - 512*w**2 + 4*w + 512.
-4*(w - 1)*(w + 1)*(w + 128)
Determine w, given that -4*w**5 + 80*w**3 - 120*w**2 - 76*w + 120 = 0.
-5, -1, 1, 2, 3
Solve 2*o**2/5 - 116*o/5 + 114/5 = 0 for o.
1, 57
Factor -2*m**4/5 - 4*m**3 - 66*m**2/5 - 16*m - 32/5.
-2*(m + 1)**2*(m + 4)**2/5
Factor -3*y**4 + 780*y**3 - 53724*y**2 + 393120*y - 762048.
-3*(y - 126)**2*(y - 4)**2
Factor q**3/8 - 19*q**2/8 - 145*q/8 - 125/8.
(q - 25)*(q + 1)*(q + 5)/8
Factor -u**3 - 4*u**2 + 51*u - 90.
-(u - 3)**2*(u + 10)
Solve -d**5/12 + 5*d**4/2 - 55*d**3/6 + 40*d**2/3 - 35*d/4 + 13/6 = 0 for d.
1, 26
Solve v**3/3 + 8*v**2/3 + 7*v/3 = 0 for v.
-7, -1, 0
Suppose 2*q**2 + 204*q + 202 = 0. What is q?
-101, -1
Let 5*y**3/3 - 490*y**2/3 - 1535*y/3 + 2020/3 = 0. Calculate y.
-4, 1, 101
Factor 4*s**3 - 8*s**2 - 300*s + 864.
4*(s - 8)*(s - 3)*(s + 9)
Let -4*x**3 + 5112*x**2 - 1633284*x = 0. What is x?
0, 639
Suppose m**4/2 - 26*m**3 - 107*m**2/2 - 27*m = 0. What is m?
-1, 0, 54
Let -115*l**3 + 1255*l**2 - 1040*l - 100 = 0. Calculate l.
-2/23, 1, 10
Factor -4*w**3 - 12*w**2 + 456*w - 832.
-4*(w - 8)*(w - 2)*(w + 13)
What is n in 2*n**4 - 1584*n**3 - 1588*n**2 + 1584*n + 1586 = 0?
-1, 1, 793
Determine a, given that 2*a**2/3 + 7716*a + 22326246 = 0.
-5787
Find y such that -3*y**5 + 141*y**4/4 - 42*y**3 - 411*y**2/4 - 45*y/2 = 0.
-1, -1/4, 0, 3, 10
Factor -131712*m**3 + 35280*m**2 - 3150*m + 375/4.
-3*(56*m - 5)**3/4
Factor -3*k**4 + 102*k**3 - 759*k**2 - 1836*k - 972.
-3*(k - 18)**2*(k + 1)**2
Find u such that 2*u**5 - 454*u**4 - 456*u**3 = 0.
-1, 0, 228
Factor 6*v**3/11 + 126*v**2/11 - 54*v/11 - 1134/11.
6*(v - 3)*(v + 3)*(v + 21)/11
Factor o**2/4 - 17*o/2 + 16.
(o - 32)*(o - 2)/4
Find a such that -4*a**3 + 36*a**2 + 4*a - 36 = 0.
-1, 1, 9
Solve -2*u**4 - 392*u**3 - 26108*u**2 - 676200*u - 5951250 = 0.
-75, -23
Factor 3*v**5 + 39*v**4 + 30*v**3 - 516*v**2 - 1416*v - 1056.
3*(v - 4)*(v + 2)**3*(v + 11)
Find w such that -2*w**5 + 2*w**4 + 26*w**3 - 2*w**2 - 24*w = 0.
-3, -1, 0, 1, 4
Find p such that 5*p**3 + 80*p**2 + 255*p + 180 = 0.
-12, -3, -1
What is y in y**2 + 5*y - 66 = 0?
-11, 6
Find c, given that c**5/6 + 7*c**4/2 + 45*c**3/2 + 81*c**2/2 = 0.
-9, -3, 0
Determine u, given that 9*u**5 - 123*u**4 + 66*u**3 + 162*u**2 - 75*u - 39 = 0.
-1, -1/3, 1, 13
Let -2*h**4/3 - 2*h**3 - 4*h**2/3 = 0. What is h?
-2, -1, 0
Find y such that 5*y**2/3 + 175*y/3 - 370/3 = 0.
-37, 2
Let -3*f**3 - 244*f**2 - 321*f - 80 = 0. Calculate f.
-80, -1, -1/3
Factor -3*k**3 - 948*k**2 - 80256*k - 831744.
-3*(k + 12)*(k + 152)**2
Solve 7*j**3 + 331*j**2 + 94*j = 0.
-47, -2/7, 0
Determine q, given that 18*q**2/11 - 296*q/11 + 128/11 = 0.
4/9, 16
Determine v, given that -2*v**3 - 3294*v**2 + 6594*v - 3298 = 0.
-1649, 1
Factor 2*j**4 - 2*j**3 - 24*j**2 + 56*j - 32.
2*(j - 2)**2*(j - 1)*(j + 4)
Determine j so that j**2 + 28*j + 75 = 0.
-25, -3
Factor -3*q**3 - 222*q**2 - 432*q.
-3*q*(q + 2)*(q + 72)
Let 3*a**5/4 + 15*a**4 + 159*a**3/2 + 153*a**2 + 351*a/4 = 0. Calculate a.
-13, -3, -1, 0
Suppose 2*b**4/7 - 8*b**3 + 94*b**2/7 + 272*b/7 - 312/7 = 0. Calculate b.
-2, 1, 3, 26
Find o, given that 4*o**4 - 8*o**3 - 60*o**2 - 16*o + 80 = 0.
-2, 1, 5
Solve 4*m**4 + 12*m**3 - 136*m**2 + 192*m = 0.
-8, 0, 2, 3
Factor -3*m**4 - 30*m**3 - 48*m**2 + 270*m + 675.
-3*(m - 3)*(m + 3)*(m + 5)**2
Factor -3*r**3/4 + 681*r**2 + 5457*r/4 + 1365/2.
-3*(r - 910)*(r + 1)**2/4
Factor -4*c**2 + 32*c - 28.
-4*(c - 7)*(c - 1)
Let 4*r**3 - 1996*r**2 - 4004*r - 2004 = 0. Calculate r.
-1, 501
Factor q**4/2 - 17*q**3/2 - 59*q**2 + 64*q + 528.
(q - 22)*(q - 3)*(q + 4)**2/2
Suppose 8*q**3/9 + 50*q**2/9 + 52*q/9 + 10/9 = 0. What is q?
-5, -1, -1/4
Determine l so that 3*l**3/2 + 6*l**2 = 0.
-4, 0
Let -3*b**3 + 124*b**2 - 484*b/3 + 160/3 = 0. Calculate b.
2/3, 40
Find u such that -12*u**4 + 69*u**3 + 18*u**2 = 0.
-1/4, 0, 6
Determine a so that 108*a**5 - 6372*a**4 + 97128*a**3 - 92920*a**2 + 30508*a - 3364 = 0.
1/3, 29
Factor 2*c**2/15 - 22*c/5 + 232/15.
2*(c - 29)*(c - 4)/15
Determine j, given that j**2/2 + 21*j - 144 = 0.
-48, 6
Factor -2*l**3/7 + 16*l**2/7.
-2*l**2*(l - 8)/7
Factor 4*g**3/5 + 48*g**2/5 - 324*g/5 + 272/5.
4*(g - 4)*(g - 1)*(g + 17)/5
Determine r so that -2*r**3 - 154*r**2 - 302*r - 150 = 0.
-75, -1
Factor x**3/6 - 70*x**2/3 + 1024*x/3 - 3968/3.
(x - 124)*(x - 8)**2/6
Factor v**4 + 22*v**3 + 41*v**2 + 20*v.
v*(v + 1)**2*(v + 20)
Factor -y**5 + 13*y**4 - 62*y**3 + 134*y**2 - 129*y + 45.
-(y - 5)*(y - 3)**2*(y - 1)**2
Factor -3*v**5/2 - 33*v**4 - 162*v**3 + 729*v**2 + 10935*v/2.
-3*v*(v - 5)*(v + 9)**3/2
Determine p, given that -p**4/3 - 16*p**3/3 = 0.
-16, 0
Solve 351*u**5/2 - 159*u**4 - 97*u**3/2 + 26*u**2 + 6*u = 0.
-1/3, -2/9, 0, 6/13, 1
Factor 4*a**2/3 + 556*a/3 + 184.
4*(a + 1)*(a + 138)/3
Factor j**4/7 + 8*j**3/7 + 13*j**2/7 + 6*j/7.
j*(j + 1)**2*(j + 6)/7
Let 12*n**2/7 - 512*n/7 - 172/7 = 0. Calculate n.
-1/3, 43
Factor 3*b**2/2 + 701*b + 467/2.
(b + 467)*(3*b + 1)/2
Solve 27*i**5 - 45*i**4 - 1923*i**3 + 1293*i**2 - 216*i = 0 for i.
-8, 0, 1/3, 9
Let -j**3 + 751*j**2 + 752*j = 0. What is j?
-1, 0, 752
What is c in 2*c**3/5 + 8*c**2/5 - 88*c/5 - 192/5 = 0?
-8, -2, 6
Factor -50*r**2/9 - 58540*r/9 - 17134658/9.
-2*(5*r + 2927)**2/9
Factor -c**2/3 + 102*c - 305/3.
-(c - 305)*(c - 1)/3
Factor 2*c**4 - 93*c**3/2 + 23*c**2/2.
c**2*(c - 23)*(4*c - 1)/2
Determine u, given that u**2/2 - 31*u = 0.
0, 62
What is y in -y**5/4 - 19*y**4 + 397*y**3/4 - 161*y**2 + 81*y = 0?
-81, 0, 1, 2
Solve -2*t**2 + 684*t - 58482 = 0 for t.
171
Suppose -5*j**5 - 350*j**4 + 1505*j**3 + 1850*j**2 = 0. Calculate j.
-74, -1, 0, 5
Determine h so that h**3/2 + 11*h**2 - 15*h/2 - 900 = 0.
-15, 8
Find d, given that -6627*d**4/2 + 12408*d**3 - 9924*d**2 - 3168*d - 216 = 0.
-6/47, 2
Factor 2*o**3/7 + 2*o**2 - 160*o/7 - 1152/7.
2*(o - 9)*(o + 8)**2/7
Factor -5*z**2 - 395*z - 1140.
-5*(z + 3)*(z + 76)
Let -14*j**5 - 626*j**4 - 6582*j**3 + 9338*j**2 - 2116*j = 0. Calculate j.
-23, 0, 2/7, 1
Suppose 4*n**5 - 22*n**4 + 30*n**3 + 10*n**2 - 34*n + 12 = 0. What is n?
-1, 1/2, 1, 2, 3
Let 2*l**2 - 28*l = 0. Calculate l.
0, 14
Find q, given that -q**3 + 5*q**2 + 44*q + 60 = 0.
-3, -2, 10
Solve -2*t**2 - 28*t - 98 = 0 for t.
-7
Factor -2*b**4 + 4*b**3 - 4*b + 2.
-2*(b - 1)**3*(b + 1)
Find x, given that 81*x**4 - 2097*x**3 - 290*x