- 2*v**3/5 - 4*v**2 - 24*v/5 = 0?
-2, 0, 6
Factor 2*s**3 - 10*s**2 - 44*s - 32.
2*(s - 8)*(s + 1)*(s + 2)
Suppose -9*m**4 - 411*m**3 - 249*m**2 + 939*m - 270 = 0. What is m?
-45, -2, 1/3, 1
Solve 2*n**5 - 38*n**4 + 54*n**3 + 230*n**2 + 136*n = 0 for n.
-1, 0, 4, 17
Factor -2*w**3 + 2868*w**2 - 1370904*w + 218430704.
-2*(w - 478)**3
Let s**2 - s - 20 = 0. What is s?
-4, 5
Factor -4*v**3 - 17*v**2 - 9*v + 18.
-(v + 2)*(v + 3)*(4*v - 3)
Solve -81*j**2 + 4935*j + 366 = 0 for j.
-2/27, 61
Factor 2*o**2 - 2880*o - 5768.
2*(o - 1442)*(o + 2)
Factor -2*q**5/19 - 16*q**4/19 - 44*q**3/19 - 48*q**2/19 - 18*q/19.
-2*q*(q + 1)**2*(q + 3)**2/19
Factor -4*h**4 + 4*h**3 + 64*h**2 - 64*h.
-4*h*(h - 4)*(h - 1)*(h + 4)
Factor -t**4/2 - 7*t**3/2 + 3*t**2/2 + 55*t/2 - 25.
-(t - 2)*(t - 1)*(t + 5)**2/2
Suppose -16*c**3 + 372*c**2 + 708*c - 200 = 0. Calculate c.
-2, 1/4, 25
Factor 32*t**4 - 48*t**3 - 30*t**2 - 4*t.
2*t*(t - 2)*(4*t + 1)**2
Find a such that -4*a**5 + 108*a**4 + 24*a**3 - 616*a**2 - 852*a - 324 = 0.
-1, 3, 27
Suppose d**5 - 3*d**4 - 28*d**3 + 92*d**2 + 96*d - 320 = 0. Calculate d.
-5, -2, 2, 4
Factor 3*i**5 - 3*i**4 - 9*i**3 + 3*i**2 + 6*i.
3*i*(i - 2)*(i - 1)*(i + 1)**2
Factor -f**2/7 - 232*f - 94192.
-(f + 812)**2/7
Factor -2*b**2/9 + 74*b + 2696/9.
-2*(b - 337)*(b + 4)/9
Factor -2*a**2/7 - 18*a/7 - 16/7.
-2*(a + 1)*(a + 8)/7
Factor i**3 - 68*i**2 - 69*i.
i*(i - 69)*(i + 1)
Factor -2*w**4/5 - 2*w**3 - 14*w**2/5 - 6*w/5.
-2*w*(w + 1)**2*(w + 3)/5
Determine d, given that 5*d**3 - 35*d**2 + 80*d - 60 = 0.
2, 3
Solve 12*k**5/7 - 10*k**4/7 - 18*k**3/7 + 2*k**2 + 6*k/7 - 4/7 = 0 for k.
-1, -2/3, 1/2, 1
Solve -3*i**2/2 + 60*i - 114 = 0 for i.
2, 38
Solve 5*a**5 - 55*a**4 + 75*a**3 + 135*a**2 = 0.
-1, 0, 3, 9
Find v such that v**5/7 - 3*v**4/7 - v**3/7 + v**2 - 4/7 = 0.
-1, 1, 2
Factor 4*p**2/7 + 3320*p/7 + 9924/7.
4*(p + 3)*(p + 827)/7
What is h in -5*h**5 + 30*h**4 + 20*h**3 - 280*h**2 + 640 = 0?
-2, 2, 4
Suppose 81*i**5 - 1998*i**4 + 1260*i**3 + 888*i**2 - 576*i = 0. Calculate i.
-2/3, 0, 2/3, 24
What is n in 2*n**5/13 + 24*n**4/13 + 58*n**3/13 - 84*n**2/13 - 288*n/13 = 0?
-8, -3, 0, 2
Determine c so that c**2/4 + 1099*c + 1207801 = 0.
-2198
Factor -25*x**3 - 465*x**2 - 1395*x - 675.
-5*(x + 3)*(x + 15)*(5*x + 3)
What is s in 3*s**5 - 96*s**4 + 429*s**3 - 660*s**2 + 324*s = 0?
0, 1, 2, 27
Factor -5*m**4/6 - 3*m**3 - 4*m**2 - 7*m/3 - 1/2.
-(m + 1)**3*(5*m + 3)/6
Let 3*n**3/4 - 33*n**2/2 - 3*n + 66 = 0. Calculate n.
-2, 2, 22
Find o, given that 5000*o**4/7 + 104800*o**3/7 + 13686*o**2 - 3958*o/7 + 40/7 = 0.
-20, -1, 1/50
Solve -j**4 + 38*j**3 - 420*j**2 + 986*j + 1445 = 0.
-1, 5, 17
Let q**2/10 - 61*q/10 + 212/5 = 0. Calculate q.
8, 53
Determine t, given that -3*t**4 + 147*t**3 - 2565*t**2 + 18225*t - 40500 = 0.
4, 15
Determine n, given that n**2/3 + 16*n/3 + 5 = 0.
-15, -1
Suppose -4*a**3 + 60*a**2 - 104*a = 0. Calculate a.
0, 2, 13
Factor 5*p**4 + 35*p**3.
5*p**3*(p + 7)
Suppose 4*u**2 - 280*u - 284 = 0. What is u?
-1, 71
Solve -13*j**2/6 - 29*j/6 - 8/3 = 0 for j.
-16/13, -1
Factor -36*h**2 - 1119*h - 93.
-3*(h + 31)*(12*h + 1)
Find g, given that -25*g**2 - 840*g + 340 = 0.
-34, 2/5
What is s in -4*s**4 + 68*s**3 - 60*s**2 - 68*s + 64 = 0?
-1, 1, 16
Factor x**5/5 + 2*x**4/5 - 2*x**2/5 - x/5.
x*(x - 1)*(x + 1)**3/5
Let 2*m**4/5 - 6*m**3/5 + 8*m/5 = 0. What is m?
-1, 0, 2
Factor -q**2 + 16*q - 39.
-(q - 13)*(q - 3)
Factor 14*v**2/5 - 194*v/5 - 28/5.
2*(v - 14)*(7*v + 1)/5
Factor a**5/6 - 4*a**4/3 - 4*a**3/3 + 16*a**2 + 24*a.
a*(a - 6)**2*(a + 2)**2/6
Determine n so that n**5/2 + 12*n**4 + 141*n**3/2 - 35*n**2 - 192*n + 144 = 0.
-12, -2, 1
Factor 2*c**2/3 + 968*c/3 + 117128/3.
2*(c + 242)**2/3
Determine y so that -y**3/7 - 1496*y**2/7 - 5972*y/7 - 5968/7 = 0.
-1492, -2
Solve -4*i**5/5 - 10*i**4 - 192*i**3/5 - 164*i**2/5 + 52*i + 30 = 0 for i.
-5, -3, -1/2, 1
Factor 4*a**2/3 + 20*a - 136/3.
4*(a - 2)*(a + 17)/3
Determine v so that 27*v**2/4 + 3606*v + 801 = 0.
-534, -2/9
Determine h so that 10*h**4/7 - 716*h**3/7 - 5758*h**2/7 - 6928*h/7 - 1896/7 = 0.
-6, -1, -2/5, 79
Factor 4*i**3/9 + 14*i**2/9 - 136*i/9 + 64/9.
2*(i - 4)*(i + 8)*(2*i - 1)/9
Let -h**2/7 + 1028*h/7 - 264196/7 = 0. Calculate h.
514
Factor 2*q**3/9 - 86*q**2 + 8694*q - 71442.
2*(q - 189)**2*(q - 9)/9
Solve o**4/3 - 7*o**3/3 - 4*o**2/3 + 112*o/3 - 64 = 0.
-4, 3, 4
Factor -84681*v**2 + 1164*v - 4.
-(291*v - 2)**2
Determine v, given that 5*v**2 + 1175*v - 2370 = 0.
-237, 2
Determine f, given that -3*f**4 + 54*f**3/5 + 39*f**2/5 - 54*f/5 - 24/5 = 0.
-1, -2/5, 1, 4
Factor -y**3/6 - 7*y**2/6 + 49*y/3.
-y*(y - 7)*(y + 14)/6
Suppose -52*a**3/7 + 13632*a**2/7 - 894468*a/7 + 137288/7 = 0. Calculate a.
2/13, 131
Find z such that 4*z**3/7 - 356*z**2/7 - 1476*z/7 - 1116/7 = 0.
-3, -1, 93
Determine r, given that -r**3/2 + 11*r**2/2 - 23*r/2 - 35/2 = 0.
-1, 5, 7
Find o, given that -4*o**2 - 11944*o - 8916196 = 0.
-1493
Factor 21*f**3 + 90*f**2 + 108*f + 24.
3*(f + 2)**2*(7*f + 2)
Suppose 15*g**3 + 100*g**2 + 180*g + 80 = 0. Calculate g.
-4, -2, -2/3
Factor -4*b**4 + 48*b**3 + 1588*b**2 + 10416*b + 20880.
-4*(b - 29)*(b + 5)*(b + 6)**2
Let 3*y**3/5 - 16*y**2/5 + 3*y + 18/5 = 0. Calculate y.
-2/3, 3
Factor 3*u**3 + 45*u**2 + 36*u - 84.
3*(u - 1)*(u + 2)*(u + 14)
Determine w so that w**5/5 + 248*w**4/5 - 201*w**3 + 756*w**2/5 = 0.
-252, 0, 1, 3
Factor -2*w**4 + 42*w**3 - 276*w**2 + 448*w + 768.
-2*(w - 8)**2*(w - 6)*(w + 1)
Suppose 6*l**4/5 + 24*l**3 - 258*l**2/5 + 132*l/5 = 0. Calculate l.
-22, 0, 1
Determine k so that 2*k**2 + 106*k + 792 = 0.
-44, -9
Factor 52*f**3 + 268*f**2 + 248*f + 32.
4*(f + 1)*(f + 4)*(13*f + 2)
Find c such that c**5/6 + 11*c**4/6 + 2*c**3/3 - 10*c**2 = 0.
-10, -3, 0, 2
Factor -3*n**2/2 - 75*n/2 - 36.
-3*(n + 1)*(n + 24)/2
Factor u**4 - 10*u**3/3 - 17*u**2/3 + 16*u + 12.
(u - 3)**2*(u + 2)*(3*u + 2)/3
What is o in -8*o**4 - 60*o**3 + 792*o**2 - 1580*o + 600 = 0?
-15, 1/2, 2, 5
Factor -2*r**3/15 + 26*r**2/15 - 32*r/5 + 24/5.
-2*(r - 6)**2*(r - 1)/15
Solve -2*o**5 - 34*o**4/3 - 20*o**3/3 = 0.
-5, -2/3, 0
Solve 12*s**4 + 1292*s**3 + 828*s**2 - 2988*s + 856 = 0.
-107, -2, 1/3, 1
Factor 2*w**5 + 22*w**4 + 54*w**3 + 50*w**2 + 16*w.
2*w*(w + 1)**3*(w + 8)
Find q such that -3*q**3/4 + 207*q**2/4 - 99*q/2 - 102 = 0.
-1, 2, 68
Determine t, given that -2*t**5 - 46*t**4 + 675*t**3/2 - 302*t**2 + 145*t/2 = 0.
-29, 0, 1/2, 5
Factor 2*w**3/7 + 278*w**2/7 - 246*w + 2610/7.
2*(w - 3)**2*(w + 145)/7
Factor 2*s**3/9 + 76*s**2/3 - 154*s/3 + 232/9.
2*(s - 1)**2*(s + 116)/9
Suppose 5*i**3/3 - 230*i**2/3 + 75*i = 0. What is i?
0, 1, 45
Determine n so that -n**5/4 - 20*n**4 + 167*n**3/2 - 43*n**2 - 333*n/4 + 63 = 0.
-84, -1, 1, 3
Suppose -32*k**3 - 1008*k**2 - 498*k - 62 = 0. Calculate k.
-31, -1/4
Determine t so that t**5/7 + 291*t**4/7 + 21314*t**3/7 + 2962*t**2 - 3045*t - 21025/7 = 0.
-145, -1, 1
Determine a so that 3*a**4/5 + 9*a**3/5 + 6*a**2/5 = 0.
-2, -1, 0
Suppose f**5 - 17*f**4 + 59*f**3 + 149*f**2 - 252*f - 324 = 0. Calculate f.
-2, -1, 2, 9
Factor -3*f**2 - 477*f + 966.
-3*(f - 2)*(f + 161)
Suppose -5*s**4 - 175*s**3 - 170*s**2 = 0. Calculate s.
-34, -1, 0
Determine w so that -75*w**5 + 810*w**4 - 1647*w**3 - 2916*w**2 - 972*w = 0.
-3/5, 0, 6
Find j, given that -j**3/7 + 2*j**2 - 44*j/7 + 40/7 = 0.
2, 10
Determine g so that 32*g**3 - 144*g**2 + 216*g - 108 = 0.
3/2
Factor -z**3/9 - 4*z**2/3 + 20*z/3 - 64/9.
-(z - 2)**2*(z + 16)/9
Factor -2*s**4 + 130*s**3 - 246*s**2 - 378*s.
-2*s*(s - 63)*(s - 3)*(s + 1)
Solve -21*j**4 + 519*j**3 - 1236*j**2 - 396*j = 0 for j.
-2/7, 0, 3, 22
Factor -2*m**2 - 110*m.
-2*m*(m + 55)
Let 2*y**3 - 52*y**2 - 54*y = 0. What is y?
-1, 0, 27
Factor -i**2 + 210*i - 416.
-(i - 208)*(i - 2)
Let 4*b**3/9 + 4*b**2/3 - 4*b/9 - 4/3 = 0. Calculate b.
-3, -1, 1
Factor -2*n**3/3 - 150*n**2 - 1168*n - 6944/3.
-2*(n + 4)**2*(n + 217)/3
Let 3*t**5/2 + 9*t**4 - 117*t**3/8 - 597*t**2/8 + 1305*t/8 - 675/8 = 0. Calculate t.
-5, 1, 3/2
Solve -5*z**4 - 65*z**3 - 300*z**2 - 560*z - 320 = 0 for z.
-4, -1
Factor 3*d**3 + 1962*d**2 - 3933*d + 1968.
3*(d - 1)**2*(d + 656)
Factor 25*a**2/11 + 4520*a/11 + 204304/11.
(5*a + 452)**2/11
Suppose 2*i**3/5 + 38*i**2 - 992*i/5 + 160 = 0. Calculate i.
-100, 1, 4
Solve -3*x**4/2 + 201*x**3 + 612*x**2 + 615*x + 411/2 = 0 for x.
-1, 137
Let -2*m**3/9 + 358