4
Let v**5 - 68*v**4 + 409*v**3 + 24210*v**2 + 181116*v + 399384 = 0. Calculate v.
-6, 43
Let -17*m**5/2 - 57*m**4 - 104*m**3 + 3*m**2 + 225*m/2 + 54 = 0. What is m?
-3, -1, -12/17, 1
Factor -5*s**3 + 5815*s**2.
-5*s**2*(s - 1163)
Determine g, given that 9*g**3 + 1137*g**2 - 761*g + 127 = 0.
-127, 1/3
Find o such that -o**5 - 8*o**4 - 12*o**3 + 26*o**2 + 61*o + 30 = 0.
-5, -3, -1, 2
Factor -135*h**3 + 40230*h**2 - 3996180*h + 132317960.
-5*(3*h - 298)**3
Solve -5*x**3/4 + 1215*x**2/4 - 4795*x/4 + 3585/4 = 0 for x.
1, 3, 239
Factor -y**3/2 - 6*y**2 - 27*y/2 + 20.
-(y - 1)*(y + 5)*(y + 8)/2
Find f, given that -2*f**3 + 28*f**2 - 122*f + 168 = 0.
3, 4, 7
Suppose 5*r**5 - 45*r**4 + 65*r**3 + 45*r**2 - 70*r = 0. What is r?
-1, 0, 1, 2, 7
Find w, given that -w**4/3 + 793*w**3/3 - 69960*w**2 + 6202944*w - 6133248 = 0.
1, 264
Determine f, given that f**3/3 - 55*f**2/3 - 625*f/3 - 1625/3 = 0.
-5, 65
Factor b**3 + 24*b**2 + 144*b.
b*(b + 12)**2
Factor 66*b**5 - 3*b**4.
3*b**4*(22*b - 1)
Factor -3*g**4/4 + 1203*g**3/2 - 2403*g**2/4.
-3*g**2*(g - 801)*(g - 1)/4
What is n in -4*n**5/3 + 4*n**4/3 + 4*n**3/3 - 4*n**2/3 = 0?
-1, 0, 1
Let 3*c**2/7 - 867*c/7 = 0. Calculate c.
0, 289
Find p such that 26*p**4/9 - 172*p**3/3 - 106*p**2/9 + 172*p/3 + 80/9 = 0.
-1, -2/13, 1, 20
Solve 2*q**2/5 + 216*q/5 - 666/5 = 0.
-111, 3
Factor v**3 - v**2 - 12*v.
v*(v - 4)*(v + 3)
Factor 2*a**4/7 + 2*a**3/7 - 20*a**2/7 + 16*a/7.
2*a*(a - 2)*(a - 1)*(a + 4)/7
Find t, given that -2*t**2/7 + 6*t - 216/7 = 0.
9, 12
Factor -19044*m**3 - 1104*m**2 - 16*m.
-4*m*(69*m + 2)**2
Solve -2*l**3/13 - 16*l**2/13 - 32*l/13 = 0.
-4, 0
Factor -n**2/3 + 11734*n/3 - 34421689/3.
-(n - 5867)**2/3
Factor 9*s**4 - 30*s**3 - 27*s**2 + 12*s.
3*s*(s - 4)*(s + 1)*(3*s - 1)
Factor -2*i**5/5 + 16*i**3/5 - 32*i/5.
-2*i*(i - 2)**2*(i + 2)**2/5
Find m, given that 3*m**5 + 15*m**4 + 15*m**3 - 15*m**2 - 18*m = 0.
-3, -2, -1, 0, 1
Let -2*o**5/15 + 68*o**4/15 + 10*o**3 - 72*o**2/5 = 0. Calculate o.
-3, 0, 1, 36
Factor 2*n**2/7 + 4*n + 66/7.
2*(n + 3)*(n + 11)/7
Factor -f**3/4 - 17*f**2 - 65*f - 64.
-(f + 2)**2*(f + 64)/4
Factor -2*p**3/13 - 24*p**2/13 - 22*p/13.
-2*p*(p + 1)*(p + 11)/13
Factor 3*i**4 - 27*i**3 + 87*i**2 - 117*i + 54.
3*(i - 3)**2*(i - 2)*(i - 1)
Factor 15*s**4 + 175*s**3 + 480*s**2 - 180*s.
5*s*(s + 6)**2*(3*s - 1)
Factor -169*i**2/4 - 1287*i/2 - 9801/4.
-(13*i + 99)**2/4
Solve 4*b**3 - 4*b**2 - 20*b - 12 = 0 for b.
-1, 3
Determine n, given that -2*n**4 - 30*n**3 + 392*n**2 + 264*n - 6624 = 0.
-23, -4, 6
Factor 5*k**3 + 190*k**2 + 1405*k + 2900.
5*(k + 4)*(k + 5)*(k + 29)
Solve -2*i**4/5 - 36*i**3/5 - 66*i**2/5 - 32*i/5 = 0 for i.
-16, -1, 0
Suppose 111556*g**5 - 2672*g**4 + 16*g**3 = 0. What is g?
0, 2/167
Factor -3*j**4 - 264*j**3 - 5805*j**2 + 264*j + 5808.
-3*(j - 1)*(j + 1)*(j + 44)**2
Factor 4*o**4 + 232*o**3 + 452*o**2 + 224*o.
4*o*(o + 1)**2*(o + 56)
Factor -2*o**3/3 + 26*o**2/3 - 64*o/3 + 40/3.
-2*(o - 10)*(o - 2)*(o - 1)/3
Factor -a**2/5 - 82*a - 409/5.
-(a + 1)*(a + 409)/5
Suppose 195*t**5 - 3220*t**4 - 1605*t**3 - 170*t**2 = 0. What is t?
-1/3, -2/13, 0, 17
Factor 2*o**4 - 14*o**2 + 12*o.
2*o*(o - 2)*(o - 1)*(o + 3)
Determine y, given that -6*y**5 + 27*y**4 - 21*y**3 - 42*y**2 + 36*y + 24 = 0.
-1, -1/2, 2
Find n, given that -4*n**3 + 144*n**2 - 752*n + 960 = 0.
2, 4, 30
Factor -n**4/5 - 8*n**3/5 + n**2/5 + 8*n/5.
-n*(n - 1)*(n + 1)*(n + 8)/5
Factor 4*o**4 + 4*o**3 - 36*o**2 + 44*o - 16.
4*(o - 1)**3*(o + 4)
Factor 15*q**3 + 2335*q**2 - 5520*q + 1580.
5*(q - 2)*(q + 158)*(3*q - 1)
Let -s**4/6 - 5*s**3/3 + s**2/6 + 5*s/3 = 0. What is s?
-10, -1, 0, 1
What is j in -80*j**5 + 440*j**4 - 845*j**3 + 665*j**2 - 200*j + 20 = 0?
1/4, 1, 2
Factor -6*v**3 + 39*v**2 - 48*v + 15.
-3*(v - 5)*(v - 1)*(2*v - 1)
Determine p so that 3*p**5/2 - 40*p**4 + 93*p**3 + 760*p**2 + 483*p/2 = 0.
-3, -1/3, 0, 7, 23
Determine s, given that -5*s**4 - 39440*s**3 - 116663520*s**2 - 153373640960*s - 75613204993280 = 0.
-1972
What is v in v**3/5 - 9*v**2/5 - 49*v/5 - 39/5 = 0?
-3, -1, 13
Solve 5*n**5 - 155*n**4 + 1245*n**3 - 985*n**2 - 6350*n - 3960 = 0 for n.
-1, 4, 11, 18
Factor -l**5 + 5*l**4 - 9*l**3 + 7*l**2 - 2*l.
-l*(l - 2)*(l - 1)**3
Solve -3*k**3/7 - 117*k**2/7 - 618*k/7 - 792/7 = 0.
-33, -4, -2
Factor -2*a**5/9 + 4*a**4/9 + 4*a**3/9 - 16*a**2/9 + 14*a/9 - 4/9.
-2*(a - 1)**4*(a + 2)/9
Let 2*w**5/7 + 50*w**4/7 + 374*w**3/7 + 494*w**2/7 - 2320*w/7 + 200 = 0. What is w?
-10, -7, 1
Factor -n**3 + 5*n**2 - 7*n + 3.
-(n - 3)*(n - 1)**2
Factor -5*y**3 + 5*y**2 + 25*y + 15.
-5*(y - 3)*(y + 1)**2
Suppose -4*j**3/3 - 48*j**2 - 596*j/3 + 248 = 0. What is j?
-31, -6, 1
Let 2*r**3/5 + 8*r**2/5 - 178*r/5 + 168/5 = 0. Calculate r.
-12, 1, 7
Factor 3*u**2 - 285*u + 828.
3*(u - 92)*(u - 3)
Determine b, given that 2*b**5/9 + 8*b**4/3 + 26*b**3/9 - 44*b**2/3 + 80*b/9 = 0.
-10, -4, 0, 1
Suppose 65*z**3/2 + 29*z**2/2 - 16*z + 2 = 0. Calculate z.
-1, 2/13, 2/5
Suppose -4*t**5 + 44*t**4 - 132*t**3 + 20*t**2 + 200*t = 0. Calculate t.
-1, 0, 2, 5
Factor 3*z**2/7 + 72*z/7.
3*z*(z + 24)/7
Factor 4*k**4 - 24*k**3 + 44*k**2 - 24*k.
4*k*(k - 3)*(k - 2)*(k - 1)
Find g, given that 2*g**3/11 + 102*g**2/11 + 1350*g/11 + 1250/11 = 0.
-25, -1
Factor s**4/2 - 51*s**3/2 - s**2/2 + 51*s/2.
s*(s - 51)*(s - 1)*(s + 1)/2
Find m such that -2*m**3 - 40*m**2 - 96*m + 1152 = 0.
-12, 4
Factor -r**4/4 - 13*r**3/4 - 12*r**2 - 9*r.
-r*(r + 1)*(r + 6)**2/4
Solve -3*v**3/8 - 993*v**2/8 + 249*v/2 = 0.
-332, 0, 1
Factor 75*i**5 + 1110*i**4 + 852*i**3 + 168*i**2.
3*i**2*(i + 14)*(5*i + 2)**2
Suppose -n**4 + n**3 + 7*n**2 - n - 6 = 0. Calculate n.
-2, -1, 1, 3
Factor j**5 + 6*j**4 - 146*j**3 - 216*j**2 + 6985*j - 18150.
(j - 6)*(j - 5)**2*(j + 11)**2
Factor 4*w**5/3 + 16*w**4/3 - 64*w**2/3 - 64*w/3.
4*w*(w - 2)*(w + 2)**3/3
Suppose -p**4 - 2*p**3 + 20*p**2 - 24*p = 0. What is p?
-6, 0, 2
Factor -3*r**3 + 45*r**2 - 114*r + 72.
-3*(r - 12)*(r - 2)*(r - 1)
Let 338*y**2/5 + 5096*y + 96040 = 0. Calculate y.
-490/13
What is o in o**2/3 - 30*o + 87 = 0?
3, 87
Factor -5*f**3/2 + 2287*f**2/2 - 1597*f + 456.
-(f - 456)*(f - 1)*(5*f - 2)/2
Factor -3*x**2 - 1218*x - 123627.
-3*(x + 203)**2
Suppose 3*w**2 - 1626*w + 4851 = 0. What is w?
3, 539
Determine h, given that -3*h**5 + 27*h**4 - 93*h**3 + 153*h**2 - 120*h + 36 = 0.
1, 2, 3
Suppose -k**5/5 + k**3/5 = 0. Calculate k.
-1, 0, 1
Factor k**4/3 + 15*k**3 - 46*k**2/3.
k**2*(k - 1)*(k + 46)/3
Solve 2*r**4/5 + 194*r**3/15 + 28*r**2 - 8*r/15 - 16 = 0.
-30, -2, -1, 2/3
Factor 2*p**4/21 - 16*p**3/7 + 96*p**2/7.
2*p**2*(p - 12)**2/21
Suppose -2*c**5 - 18*c**4 + 56*c**3 + 768*c**2 + 576*c - 4320 = 0. Calculate c.
-6, -5, 2, 6
Factor x**2 + 2754*x + 1896129.
(x + 1377)**2
Factor -4*g**4 + 56*g**3 - 32*g**2 - 248*g - 156.
-4*(g - 13)*(g - 3)*(g + 1)**2
Factor 2*g**3/15 + 1162*g**2/15 + 165838*g/15 - 171698/3.
2*(g - 5)*(g + 293)**2/15
Factor -5*g**3/4 + 1045*g**2/4 - 54075*g/4 - 55125/4.
-5*(g - 105)**2*(g + 1)/4
Find m such that -5*m**5 - 30*m**4 - 5*m**3 + 120*m**2 + 100*m = 0.
-5, -2, -1, 0, 2
Factor 4*w**2 - 864*w.
4*w*(w - 216)
Factor 2*q**4 - 16*q**3 - 16*q**2 + 192*q + 288.
2*(q - 6)**2*(q + 2)**2
Determine z, given that z**2/7 + 122*z/7 + 3721/7 = 0.
-61
Factor o**2/6 + 14*o/3 + 115/6.
(o + 5)*(o + 23)/6
Factor 3*h**4 + 3*h**3 - 36*h**2 + 12*h + 48.
3*(h - 2)**2*(h + 1)*(h + 4)
Determine n, given that 2*n**2/3 - 2380*n/3 + 708050/3 = 0.
595
Determine m, given that -3*m**5 + 15*m**4 - 9*m**3 - 51*m**2 + 84*m - 36 = 0.
-2, 1, 2, 3
Solve -s**5 + 2*s**4 + 7*s**3 - 8*s**2 - 12*s = 0 for s.
-2, -1, 0, 2, 3
Let 4*d**4 + 52*d**3 + 220*d**2 + 300*d = 0. Calculate d.
-5, -3, 0
Factor a**5/3 + 3*a**4 + 10*a**3/3 - 12*a**2 - 56*a/3.
a*(a - 2)*(a + 2)**2*(a + 7)/3
Solve h**5/5 + 2*h**4 + 22*h**3/5 + 4*h**2/5 - 23*h/5 - 14/5 = 0.
-7, -2, -1, 1
Factor -2*v**4/11 - 6*v**3/11 + 80*v**2/11.
-2*v**2*(v - 5)*(v + 8)/11
Factor 48*z**4 - 456*z**3 + 891*z**2 - 363*z + 42.
3*(z - 7)*(z - 2)*(4*z - 1)**2
Factor 4*c**3 - 892*c**2.
4*c**2*(c - 223)
Determine t, given that 3*t**5 + 117*t**4 + 213*t**3 - 333*t**2 = 0.
-37, -3, 0, 1
Factor v**2/4 - 383*v + 1531/4.
(v - 1531)*(v - 1)/4
Solve -14*t**5/11 + 8*t**4 - 150*t**3/11 - 20*t**2/11 + 184*t/11 - 48/11 = 0 for t.
-1, 2/7, 2, 3
Factor -68*j**2 + 8*j.
-4*j*(17*j - 2)
What is o in 3*o**4/8 + 293*o**3/2 +