09)**3*(q - 1)
Suppose 5*y**5/3 - 140*y**4/3 + 330*y**3 - 2720*y**2/3 + 3005*y/3 - 380 = 0. Calculate y.
1, 3, 4, 19
Factor 4*z**4 - 260*z**3 + 928*z**2 + 2928*z.
4*z*(z - 61)*(z - 6)*(z + 2)
Factor -5*u**3 + 65*u**2 - 250*u + 280.
-5*(u - 7)*(u - 4)*(u - 2)
Let -147*q**5 - 357*q**4 - 54*q**3 + 132*q**2 - 24*q = 0. What is q?
-2, -1, 0, 2/7
Factor 65*f**2 - 1115*f - 2280.
5*(f - 19)*(13*f + 24)
Factor -123*q**2 + 6771*q - 330.
-3*(q - 55)*(41*q - 2)
Suppose 20*m**2 - 2825*m - 2130 = 0. What is m?
-3/4, 142
Factor v**3 + v**2 - 14*v - 24.
(v - 4)*(v + 2)*(v + 3)
Factor -3*v**4 + 12*v**3 + 15*v**2.
-3*v**2*(v - 5)*(v + 1)
Factor 3*n**4 + 21*n**3 - 54*n**2.
3*n**2*(n - 2)*(n + 9)
Factor v**4/4 + v**3/2 - 7*v**2/4 + v.
v*(v - 1)**2*(v + 4)/4
Factor -3*n**4 - 69*n**3/7 - 18*n**2/7.
-3*n**2*(n + 3)*(7*n + 2)/7
Determine z so that 32*z**3 + 68*z**2 - 248*z - 32 = 0.
-4, -1/8, 2
Suppose 4*b**4 + 52*b**3 + 192*b**2 + 272*b + 128 = 0. What is b?
-8, -2, -1
Solve -j**4/3 - 115*j**3/3 - 257*j**2 - 543*j - 324 = 0 for j.
-108, -3, -1
Factor -5*u**4 - 10*u**3 + 1680*u**2 - 15190*u + 39445.
-5*(u - 7)**3*(u + 23)
Let -4*y**5 + 16*y**4 - 20*y**3 + 8*y**2 = 0. Calculate y.
0, 1, 2
Find h such that 2*h**2/5 - 14*h + 132/5 = 0.
2, 33
Factor -4*g**4/9 + 16*g**3/9 + 8*g**2/9 - 16*g/3 - 4.
-4*(g - 3)**2*(g + 1)**2/9
Let 3136*u**4 - 112*u**3 + u**2 = 0. Calculate u.
0, 1/56
Find l such that -2*l**3/7 + 830*l**2/7 - 85696*l/7 - 86528/7 = 0.
-1, 208
Factor -4*d**4/3 + 304*d**3 - 17328*d**2.
-4*d**2*(d - 114)**2/3
Suppose 9*f**4 + 33*f**3 - 111*f**2 + 87*f - 18 = 0. Calculate f.
-6, 1/3, 1
Factor 3*j**5/5 - 18*j**4/5 - 12*j**3/5 + 102*j**2/5 + 153*j/5 + 12.
3*(j - 5)*(j - 4)*(j + 1)**3/5
Find u such that -16*u**5 - 14*u**4 + 46*u**3 + 14*u**2 - 30*u = 0.
-15/8, -1, 0, 1
Solve 55*p**4/4 + 105*p**3/2 - 315*p**2/4 + 25*p/2 = 0.
-5, 0, 2/11, 1
Suppose -1058*i**3/5 - 15364*i**2/5 - 1560*i - 1008/5 = 0. Calculate i.
-14, -6/23
Let -40*q**5/3 + 81*q**4 - 6*q**3 = 0. What is q?
0, 3/40, 6
Factor 13*r**2 + 70*r.
r*(13*r + 70)
Factor 18*o**2 + 674*o + 296.
2*(o + 37)*(9*o + 4)
Suppose 6*q**3/5 - 50*q**2 + 618*q/5 + 234/5 = 0. Calculate q.
-1/3, 3, 39
Factor -a**4/6 - a**3/2 + 3*a**2/2 + 9*a/2.
-a*(a - 3)*(a + 3)**2/6
Factor -3*u**2/5 - 906*u/5.
-3*u*(u + 302)/5
Solve 5*n**5 + 15*n**4 - 5*n**3 - 55*n**2 - 60*n - 20 = 0 for n.
-2, -1, 2
Suppose -4*r**3 - 36*r**2 - 32*r + 240 = 0. Calculate r.
-6, -5, 2
Let -5*g**2 - 6080*g - 1848320 = 0. Calculate g.
-608
Let -3*s**5 - 2*s**4 + 31*s**3 - 34*s**2 + 8*s = 0. What is s?
-4, 0, 1/3, 1, 2
Factor 3*a**3 + 420*a**2 + 15111*a + 28566.
3*(a + 2)*(a + 69)**2
Factor -4*c**2/5 + 24*c/5 - 4.
-4*(c - 5)*(c - 1)/5
What is b in -6*b**4/17 - 26*b**3/17 + 26*b**2/17 + 26*b/17 - 20/17 = 0?
-5, -1, 2/3, 1
What is y in -y**2 + 45*y - 86 = 0?
2, 43
Find s, given that 17*s**4/5 - 28*s**3/5 - 97*s**2/5 + 72*s/5 + 36/5 = 0.
-2, -6/17, 1, 3
Factor -h**2 + 25*h - 66.
-(h - 22)*(h - 3)
Factor 5*q**3/3 + 40*q**2/3 + 55*q/3 - 100/3.
5*(q - 1)*(q + 4)*(q + 5)/3
Factor v**3/2 + 5*v**2/2 - 14*v - 16.
(v - 4)*(v + 1)*(v + 8)/2
Factor -8*u**3/3 - 830*u**2/3 + 1684*u/3 - 282.
-2*(u - 1)**2*(4*u + 423)/3
Suppose 3*b**5 - 75*b**4 - 531*b**3 - 849*b**2 + 336*b + 1116 = 0. Calculate b.
-3, -2, 1, 31
Factor 4*g**2/7 + 4780*g/7 - 1368.
4*(g - 2)*(g + 1197)/7
Factor 2*s**2/13 - 4*s/13 - 160/13.
2*(s - 10)*(s + 8)/13
Let -2*y**3 - 322*y**2 + 980*y - 656 = 0. What is y?
-164, 1, 2
Solve -10*q**5 - 104*q**4 - 390*q**3 - 640*q**2 - 440*q - 96 = 0 for q.
-4, -3, -2, -1, -2/5
What is i in 6*i**5/5 - 4*i**4/5 - 4*i**3 + 14*i/5 + 4/5 = 0?
-1, -1/3, 1, 2
Suppose -t**2/7 - 152*t/7 + 153/7 = 0. What is t?
-153, 1
Factor 3*v**4 + 9*v**3 - 30*v**2 - 72*v.
3*v*(v - 3)*(v + 2)*(v + 4)
Factor -d**3/9 + 8*d**2/9 - 16*d/9.
-d*(d - 4)**2/9
Factor -95*b**3 - 245*b**2 + 175*b + 165.
-5*(b - 1)*(b + 3)*(19*b + 11)
Factor -3*i**5/7 - 48*i**4/7 - 45*i**3/7.
-3*i**3*(i + 1)*(i + 15)/7
Find w such that w**5 - 15*w**4 + 34*w**3 + 36*w**2 - 152*w + 96 = 0.
-2, 1, 2, 12
Factor -2*l**2 - 62*l + 360.
-2*(l - 5)*(l + 36)
Determine r so that 3*r**5 + 19*r**4 + 64*r**3/3 + 20*r**2/3 = 0.
-5, -2/3, 0
Factor -h**2/10 - 7*h/10 - 6/5.
-(h + 3)*(h + 4)/10
Factor -3*o**4 - 21*o**3 - 30*o**2.
-3*o**2*(o + 2)*(o + 5)
Solve -4*c**2 - 168*c - 1764 = 0.
-21
Factor 3*x**4/7 - 36*x**3/7 - 3*x**2/7 + 36*x/7.
3*x*(x - 12)*(x - 1)*(x + 1)/7
Factor -o**2/8 - 171*o/8 + 43/2.
-(o - 1)*(o + 172)/8
Suppose 5*j**2 + 125*j - 130 = 0. What is j?
-26, 1
Factor -3*i**3/4 + 15*i**2/2 - 27*i/4.
-3*i*(i - 9)*(i - 1)/4
Determine q so that -4*q**4 - 24*q**3 - 52*q**2 - 48*q - 16 = 0.
-2, -1
Factor 16*a**4 + 3550*a**3 + 262404*a**2 + 6450728*a - 810448.
2*(a + 74)**3*(8*a - 1)
What is o in o**5 + o**4 - 11*o**3 + 7*o**2 + 10*o - 8 = 0?
-4, -1, 1, 2
Factor 4*d**4 + 7120*d**3 + 3175512*d**2 + 6329680*d + 3161284.
4*(d + 1)**2*(d + 889)**2
Factor b**5/6 + 11*b**4/6 + 7*b**3 + 9*b**2 - 9*b/2 - 27/2.
(b - 1)*(b + 3)**4/6
Factor p**4/2 + 3*p**3/2 + p**2.
p**2*(p + 1)*(p + 2)/2
Factor 3*t**2/8 - 1023*t/4.
3*t*(t - 682)/8
Factor 3*r**3/5 - 513*r**2/5 - 2088*r/5 - 420.
3*(r - 175)*(r + 2)**2/5
Let -5*r**4/2 - 105*r**3/2 - 145*r**2 + 840*r - 640 = 0. Calculate r.
-16, -8, 1, 2
Find m, given that 2*m**4/21 + 20*m**3/21 - 424*m**2/21 + 260*m/7 - 18 = 0.
-21, 1, 9
Factor 2*j**5 + 3*j**4 - j**3 - 3*j**2 - j.
j*(j - 1)*(j + 1)**2*(2*j + 1)
What is q in 2*q**3 + 26*q**2 - 2*q - 26 = 0?
-13, -1, 1
Let w**3/7 - 38*w**2/7 + 20*w - 136/7 = 0. Calculate w.
2, 34
Suppose 4*c**3 - 336*c**2 - 348*c + 680 = 0. What is c?
-2, 1, 85
Factor -5*q**4 - 85*q**3 - 235*q**2 + 325*q.
-5*q*(q - 1)*(q + 5)*(q + 13)
Find n, given that 4*n**4 + 68*n**3 + 384*n**2 + 832*n + 512 = 0.
-8, -4, -1
Factor 2*s**3 + 4*s**2 - 14*s + 8.
2*(s - 1)**2*(s + 4)
Factor 3*b**3/2 - 84*b**2 + 165*b/2.
3*b*(b - 55)*(b - 1)/2
Factor 3*q**2/8 - 339*q/4 + 38307/8.
3*(q - 113)**2/8
Factor -6*n**2/17 + 2*n/17 + 4/17.
-2*(n - 1)*(3*n + 2)/17
Factor 3*s**5/4 - 39*s**4/4 - 135*s**3/4 - 141*s**2/4 - 12*s.
3*s*(s - 16)*(s + 1)**3/4
Find r, given that r**2/2 - 17*r/2 - 19 = 0.
-2, 19
Suppose 3*h**4 + 81*h**3 + 765*h**2 + 3075*h + 4500 = 0. Calculate h.
-12, -5
Solve 4*m**5 - 284*m**4 + 6904*m**3 - 61640*m**2 + 103684*m - 48668 = 0 for m.
1, 23
Factor -q**2/9 - 4*q - 36.
-(q + 18)**2/9
Factor 45*g**4 - 485*g**3 + 700*g**2 + 180*g.
5*g*(g - 9)*(g - 2)*(9*g + 2)
Suppose -5*y**3 + 15*y**2 = 0. What is y?
0, 3
Suppose 14*c**4/15 + 214*c**3/15 - 668*c**2/15 + 296*c/15 + 48/5 = 0. Calculate c.
-18, -2/7, 1, 2
Factor -5*l**4 + 55*l**3 - 90*l**2 - 540*l + 1080.
-5*(l - 6)**2*(l - 2)*(l + 3)
Find a, given that -a**5/8 - 15*a**4/8 - 25*a**3/8 + 15*a**2/8 + 13*a/4 = 0.
-13, -2, -1, 0, 1
Determine p, given that 9*p**4/2 + 15*p**3/2 - 501*p**2/2 - 339*p/2 + 84 = 0.
-8, -1, 1/3, 7
Find t, given that t**5/6 + 81*t**4/2 - 122*t**3/3 = 0.
-244, 0, 1
Factor -2*u**3 - 8*u**2 + 14*u + 20.
-2*(u - 2)*(u + 1)*(u + 5)
Factor 2*u**2/5 - 2468*u/5 + 761378/5.
2*(u - 617)**2/5
Factor 3*a**2/5 - 309*a + 1542/5.
3*(a - 514)*(a - 1)/5
Find w, given that 4*w**3/7 + 80*w**2/7 - 2048*w/7 + 9216/7 = 0.
-36, 8
Solve -2*f**3/9 - 362*f**2 - 2166*f - 3246 = 0 for f.
-1623, -3
Determine f so that -f**5 + 66*f**4 + f**3 - 66*f**2 = 0.
-1, 0, 1, 66
Factor -x**2 - 941*x - 940.
-(x + 1)*(x + 940)
Let d**4/2 - 98*d**3/3 + 223*d**2/3 - 158*d/3 + 21/2 = 0. What is d?
1/3, 1, 63
Find g, given that 2*g**2/3 + 10*g/3 + 4 = 0.
-3, -2
Find f, given that -35*f**5/2 + 211*f**4/2 - 461*f**3/2 + 433*f**2/2 - 76*f + 2 = 0.
1/35, 1, 2
Let -4*h**3 + 40*h**2 - 68*h + 32 = 0. What is h?
1, 8
Factor 1045*h**2/3 + 118*h/3 - 8.
(19*h - 2)*(55*h + 12)/3
Let -o**5/4 + 67*o**4/2 - 6591*o**3/4 + 69559*o**2/2 - 251617*o - 288078 = 0. What is o?
-1, 21, 38
Factor 5*f**4 + 80*f**3 - 5*f**2 - 80*f.
5*f*(f - 1)*(f + 1)*(f + 16)
Factor -5*k**5 + 35*k**4 - 50*k**3 - 90*k**2 + 135*k + 135.
-5*(k - 3)**3*(k + 1)**2
Find x, given that -x**2/2 - 23*x/2 + 54 = 0.
-27, 4
Find t, given that 3*t**3 + 90*t**2 + 324*t + 312 = 0.
-26, -2
Factor -5*r**4 - 100*r**3 + 4015*r**2 - 25410*r.
-5*r*(r - 11)**2*(r + 42)
Find o such that -3*o**4/7 - 15*o**3/7 + 24*o**2/7 + 36*o/7 = 0.
-6, -1, 0, 2
Determine u, given that 2*u**5 - 10*u**4 + 16*u**3 - 8*u**2 = 0.
0, 1, 2
Factor 3*z**2 + 702*z + 