2*i**5/7 + 184*i**4/7 - 52*i**3/7 = 0.
0, 13/33, 1
Factor z**3/2 + 135*z**2/2 - 273*z/2 + 137/2.
(z - 1)**2*(z + 137)/2
Suppose t**5/4 - 3*t**3/4 - t**2/2 = 0. What is t?
-1, 0, 2
Factor -6*a**2 + 266*a/5 + 36/5.
-2*(a - 9)*(15*a + 2)/5
Factor -5*q**3 - 45*q**2 + 105*q + 1225.
-5*(q - 5)*(q + 7)**2
Find b, given that 3*b**5/5 - 6*b**4/5 + 3*b**3/5 = 0.
0, 1
Determine a, given that -3*a**2 + 9*a + 30 = 0.
-2, 5
Factor -2*o**2/3 + 232*o/3 - 6728/3.
-2*(o - 58)**2/3
Factor 3*i**3/7 - 31*i**2/7 + 85*i/7 - 25/7.
(i - 5)**2*(3*i - 1)/7
What is u in -u**2/9 - 1678*u/9 - 703921/9 = 0?
-839
Suppose -2*y**5 - 70*y**4 + 640*y**3 - 2000*y**2 + 2720*y - 1376 = 0. Calculate y.
-43, 2
Factor 5*m**4 - 35*m**3 - 135*m**2 - 145*m - 50.
5*(m - 10)*(m + 1)**3
Suppose -2*j**4/5 - 142*j**3/5 - 266*j**2/5 + 702*j/5 + 828/5 = 0. What is j?
-69, -3, -1, 2
Factor -5*x**2 - 605*x + 1230.
-5*(x - 2)*(x + 123)
Suppose 2*p**2/5 - 10 = 0. Calculate p.
-5, 5
Determine x so that -7*x**5/3 - 5*x**4/3 + 1283*x**3/3 - 359*x**2/3 - 1276*x/3 + 364/3 = 0.
-14, -1, 2/7, 1, 13
Find t such that -3*t**5/2 + 36*t**4 - 180*t**3 + 339*t**2 - 549*t/2 + 81 = 0.
1, 3, 18
Suppose 65*y**5 + 20*y**4 = 0. Calculate y.
-4/13, 0
Factor 2*l**2/15 + 352*l/5 + 46464/5.
2*(l + 264)**2/15
What is w in -2*w**5/9 + 20*w**4/9 - 16*w**3/3 - 20*w**2/9 + 50*w/9 = 0?
-1, 0, 1, 5
Factor 2*o**3/13 + 10*o**2/13 + 14*o/13 + 6/13.
2*(o + 1)**2*(o + 3)/13
Suppose -2*o**2/7 + 1854*o/7 + 1856/7 = 0. Calculate o.
-1, 928
What is d in -9*d**2 + 186*d + 63 = 0?
-1/3, 21
Factor -y**4 - 27*y**3 - 114*y**2 - 88*y.
-y*(y + 1)*(y + 4)*(y + 22)
Factor -2*h**2/15 + 158*h/15 - 52/5.
-2*(h - 78)*(h - 1)/15
Factor k**3/5 + 11*k**2/5 + 32*k/5 + 28/5.
(k + 2)**2*(k + 7)/5
Solve -2*a**2/3 + 2*a/3 + 4 = 0.
-2, 3
Suppose -5*t**5/2 + 51*t**4/2 - 55*t**3 - 15*t**2 + 115*t/2 - 21/2 = 0. Calculate t.
-1, 1/5, 1, 3, 7
Factor 2*a**4/3 - 14*a**2/3 + 4*a.
2*a*(a - 2)*(a - 1)*(a + 3)/3
Suppose b**4/6 + 133*b**3/6 + 22*b**2 = 0. Calculate b.
-132, -1, 0
Factor -2*g**2/3 + 26*g/3 + 60.
-2*(g - 18)*(g + 5)/3
What is q in -18*q**5 + 156*q**4 - 80*q**3 - 140*q**2 + 98*q - 16 = 0?
-1, 1/3, 1, 8
Factor g**3/6 + 16*g**2/3 + 58*g/3 + 56/3.
(g + 2)**2*(g + 28)/6
Suppose -3*d**4 - 20*d**3/3 - 4*d**2/3 = 0. What is d?
-2, -2/9, 0
Solve -2*p**2 + 10*p + 1188 = 0.
-22, 27
Determine c, given that 7*c**5/4 + 1639*c**4/2 + 929*c**3/4 - 1639*c**2/2 - 234*c = 0.
-468, -1, -2/7, 0, 1
Let y**3 + 8*y**2 + 15*y = 0. Calculate y.
-5, -3, 0
Suppose 10*h**3/7 - 76*h**2/7 + 88*h/7 + 48/7 = 0. What is h?
-2/5, 2, 6
What is c in 2*c**2/21 + 12*c + 378 = 0?
-63
Factor 3*l**3 + 237*l**2 + 912*l + 900.
3*(l + 2)**2*(l + 75)
Determine b so that b**5/3 + 22*b**4/3 - 8*b**3 - 22*b**2/3 + 23*b/3 = 0.
-23, -1, 0, 1
Let -3*h**4 + 12*h**3 - 9*h**2 - 12*h + 12 = 0. Calculate h.
-1, 1, 2
Solve -f**2 + 318*f - 25281 = 0 for f.
159
Let -4*r**4/5 - 8*r**3 - 132*r**2/5 - 176*r/5 - 16 = 0. Calculate r.
-5, -2, -1
Determine h, given that 18010*h**2 + 18005*h - 5 = 0.
-1, 1/3602
Factor c**4 - 2*c**3 - 5*c**2 + 6*c.
c*(c - 3)*(c - 1)*(c + 2)
Let -2*t**4 - 34*t**3 + 438*t**2 + 970*t + 500 = 0. Calculate t.
-25, -1, 10
Factor -4*o**5 - 36*o**4 + 448*o**3 - 1504*o**2 + 2112*o - 1088.
-4*(o - 2)**4*(o + 17)
Factor 5*o**2/4 + 7245*o/4 + 1810.
5*(o + 1)*(o + 1448)/4
Factor -3*y**4 - 12*y**3 - 9*y**2 + 12*y + 12.
-3*(y - 1)*(y + 1)*(y + 2)**2
Factor -d**2/3 + 6*d.
-d*(d - 18)/3
Factor 324*i**3 - 6012*i**2 - 2720*i - 304.
4*(i - 19)*(9*i + 2)**2
Determine v so that 4*v**5 + 24*v**4 + 20*v**3 - 48*v**2 = 0.
-4, -3, 0, 1
Factor 5*a**4/4 - 145*a**3 + 855*a**2/2 - 425*a + 565/4.
5*(a - 113)*(a - 1)**3/4
Suppose -y**3/2 + 273*y**2/2 = 0. What is y?
0, 273
Let -2*w**5 + 368*w**4 - 16178*w**3 - 68812*w**2 - 87608*w - 35344 = 0. What is w?
-2, -1, 94
Solve a**4/4 - 4*a**3 - 27*a**2/2 - 14*a - 19/4 = 0 for a.
-1, 19
Find h, given that h**3/2 + 8479*h**2/6 + 1997511*h/2 + 665523/2 = 0.
-1413, -1/3
Let 4*w**5 + 28*w**4 - 292*w**3 + 260*w**2 = 0. Calculate w.
-13, 0, 1, 5
Factor 162*f**3 - 3420*f**2 + 20984*f - 29584.
2*(f - 2)*(9*f - 86)**2
Factor -4*m**3/5 - 34*m**2/5 - 16*m/5.
-2*m*(m + 8)*(2*m + 1)/5
Factor 2*g**2/7 + 274*g/7 + 696.
2*(g + 21)*(g + 116)/7
Determine x, given that -3*x**5 - 84*x**4 - 408*x**3 - 246*x**2 + 411*x + 330 = 0.
-22, -5, -1, 1
Factor -a**4/7 - 38*a**3/7 + a**2/7 + 38*a/7.
-a*(a - 1)*(a + 1)*(a + 38)/7
Factor 6*d**4 - 20*d**3 - 16*d**2.
2*d**2*(d - 4)*(3*d + 2)
Determine f so that 5*f**2 - 80*f + 275 = 0.
5, 11
Solve o**3 - 63*o**2 + 960*o + 1024 = 0.
-1, 32
Factor 2*w**3/11 - 38*w/11 + 60/11.
2*(w - 3)*(w - 2)*(w + 5)/11
Solve o**4/5 + 4*o**3/5 - 6*o**2 - 20*o + 25 = 0 for o.
-5, 1, 5
Let v**5/2 - 3*v**4/2 - 2*v**3 = 0. Calculate v.
-1, 0, 4
Factor u**2 + 2*u.
u*(u + 2)
Solve 2*m**4 + 10*m**3 - 66*m**2 + 54*m = 0 for m.
-9, 0, 1, 3
Determine d, given that -6*d**2/5 - 312*d/5 - 306/5 = 0.
-51, -1
Factor -245*a**2 + 140*a - 20.
-5*(7*a - 2)**2
Solve -7*x**5 - 117*x**4 - 365*x**3 - 355*x**2 - 48*x + 52 = 0.
-13, -2, -1, 2/7
Factor 2*x**4/11 + 392*x**3/11 + 2304*x**2 + 47520*x - 104544.
2*(x - 2)*(x + 66)**3/11
Factor 4*g**2 + 172*g - 176.
4*(g - 1)*(g + 44)
Let -2*p**5/5 + 28*p**4/15 - 4*p**3/3 - 8*p**2/3 + 26*p/15 + 4/5 = 0. What is p?
-1, -1/3, 1, 2, 3
Find p such that -378*p**5/11 - 540*p**4/11 + 36*p**3/11 + 16*p**2 - 26*p/11 - 4/11 = 0.
-1, -2/21, 1/3
Factor 2*f**2/15 - 16*f/15.
2*f*(f - 8)/15
Find b, given that 12*b**4/7 + 34*b**3/7 - 198*b**2/7 + 176*b/7 - 24/7 = 0.
-6, 1/6, 1, 2
What is b in -4*b**4 + 16*b**3 + 12*b**2 - 40*b - 32 = 0?
-1, 2, 4
Factor v**3 - 31*v**2 + 160*v + 192.
(v - 24)*(v - 8)*(v + 1)
Factor 4*w**3 + 408*w**2 - 3456*w + 7040.
4*(w - 4)**2*(w + 110)
Factor -3*s**2 - 534*s - 23763.
-3*(s + 89)**2
Factor 4*u**2 + 2892*u.
4*u*(u + 723)
Factor -p**4/2 + 3*p**3 - 5*p**2/2 - 12*p + 18.
-(p - 3)**2*(p - 2)*(p + 2)/2
Solve 81*k**5/2 + 20169*k**4/2 + 636111*k**3 + 1040103*k**2 + 965713*k/2 + 137641/2 = 0.
-371/3, -1, -1/3
Factor 4*b**3 - 8*b**2.
4*b**2*(b - 2)
Factor 10*v**3/3 + 334*v**2/3 + 452*v/3 + 128/3.
2*(v + 1)*(v + 32)*(5*v + 2)/3
Solve -5*n**4 + 290*n**3 + 900*n**2 + 910*n + 305 = 0.
-1, 61
Suppose g**3 - 12*g**2 + 21*g - 10 = 0. What is g?
1, 10
Factor -2*v**2 + 50*v.
-2*v*(v - 25)
Factor n**2 - 69*n - 370.
(n - 74)*(n + 5)
Suppose 5*h**4 + 325*h**3 + 940*h**2 + 620*h = 0. What is h?
-62, -2, -1, 0
Suppose 2*c**2/5 + 14*c/5 + 24/5 = 0. Calculate c.
-4, -3
Find d, given that -28*d**5 - 48*d**4 + 772*d**3 + 1352*d**2 - 2688*d + 640 = 0.
-4, 2/7, 1, 5
What is f in 2*f**2 - 152*f + 2888 = 0?
38
Solve -3*a**5/7 - 111*a**4/7 - 1278*a**3/7 - 3198*a**2/7 + 2535*a + 19773/7 = 0 for a.
-13, -1, 3
Suppose -4*o**4/9 + 2*o**3 + 10*o**2/9 = 0. What is o?
-1/2, 0, 5
Factor -2*k**4 + 24*k**3 - 92*k**2 + 120*k - 50.
-2*(k - 5)**2*(k - 1)**2
Factor -3*t**2 + 963*t - 960.
-3*(t - 320)*(t - 1)
Factor -a**2/5 - 8*a - 76/5.
-(a + 2)*(a + 38)/5
Factor -2*b**3 - 44*b**2 + 208*b.
-2*b*(b - 4)*(b + 26)
Determine j, given that -10*j**5 + 5*j**4 + 485*j**3 + 1040*j**2 - 880*j - 640 = 0.
-4, -1/2, 1, 8
Factor -i**4 + 8*i**3 - 18*i**2 + 16*i - 5.
-(i - 5)*(i - 1)**3
Factor -k**2/7 - 12*k/7 + 13/7.
-(k - 1)*(k + 13)/7
What is g in -93*g**3/2 + 371*g**2/2 - 184*g - 2 = 0?
-1/93, 2
Factor 5*h**2/2 + 5*h/2 - 105.
5*(h - 6)*(h + 7)/2
Factor -35*a**3 - 2460*a**2 - 43575*a - 12250.
-5*(a + 35)**2*(7*a + 2)
Let 2*k**4 - 184*k**3 + 4044*k**2 + 8648*k + 4418 = 0. What is k?
-1, 47
Suppose -3*o**5 - 180*o**4 - 2511*o**3 + 5766*o**2 = 0. What is o?
-31, 0, 2
Factor 2*t**3/17 + 32*t**2/17.
2*t**2*(t + 16)/17
Factor -2*t**3/5 + 102*t**2/5 + 432*t/5 + 88.
-2*(t - 55)*(t + 2)**2/5
Determine w, given that -2*w**3/5 - 11*w**2/5 + 6*w/5 = 0.
-6, 0, 1/2
What is q in -q**3/2 - 17*q**2/2 - 40*q - 32 = 0?
-8, -1
Factor -o**3/3 - 49*o**2/3 - 800*o/3 - 4352/3.
-(o + 16)**2*(o + 17)/3
Find w such that -3*w**4 + 4782*w**3 - 14328*w**2 + 14322*w - 4773 = 0.
1, 1591
Determine f, given that 2*f**3 - 38*f**2 + 148*f - 112 = 0.
1, 4, 14
Factor p**2 + 11*p - 1160.
(p - 29)*(p + 40)
Suppose -3*j**4 + 459*j**3 + 2346*j**2 + 3780*j + 1896 = 0. Calculate j.
-2, -1, 158
Factor 5*b**3 + 420*b**2 + 11385*b + 98010.
5*(b + 18)*(b + 33)**2
Factor 5*y**5 + 10*y**4 - 20*y**3 - 10*y**2 + 15*y.
5*y*(y - 1)**2*(y + 1)*(y + 3)
F