 - 10*z**2/3 + 20*z + 56/3 = 0.
-14, -2, -1, 2
Let -72*b**5 - 33*b**4 + 37*b**3 - 3*b**2 - b = 0. Calculate b.
-1, -1/8, 0, 1/3
Solve -3*o**3 - 1848*o**2 + 3705*o - 1854 = 0 for o.
-618, 1
What is v in 4*v**3 - 68*v**2 + 40*v + 384 = 0?
-2, 3, 16
Factor -4*u**4/3 + 803*u**3/3 - 17889*u**2 + 1189585*u/3 + 300763/3.
-(u - 67)**3*(4*u + 1)/3
Determine d, given that 5*d**3 + 65*d**2 + 220*d + 160 = 0.
-8, -4, -1
Determine r so that 3*r**2/2 + 12*r + 45/2 = 0.
-5, -3
Solve -20*l**5/9 - 404*l**4/3 - 17492*l**3/9 + 8804*l**2/3 - 7688*l/9 = 0.
-31, 0, 2/5, 1
Let 2*h**5/21 - 2*h**4/3 - 22*h**3/21 + 190*h**2/21 - 268*h/21 + 16/3 = 0. Calculate h.
-4, 1, 2, 7
Determine p, given that 8*p**3 - 18*p**2 - 60*p + 16 = 0.
-2, 1/4, 4
Suppose -a**3 - 7*a**2 + 5*a + 75 = 0. Calculate a.
-5, 3
Factor -2*p**5 - 11*p**4/2 - 3*p**3.
-p**3*(p + 2)*(4*p + 3)/2
Solve -3*j**2/4 + 921*j - 282747 = 0 for j.
614
Let 2*t**3/5 + 50*t**2 + 7936*t/5 + 7688/5 = 0. Calculate t.
-62, -1
Factor 12*c**2 - 68*c + 40.
4*(c - 5)*(3*c - 2)
Determine a so that a**2/4 - 23*a/4 = 0.
0, 23
Factor -3*i**4 + 156*i**3 - 969*i**2 + 1032*i + 2160.
-3*(i - 45)*(i - 4)**2*(i + 1)
What is o in 5*o**2/6 + 65*o/6 - 75 = 0?
-18, 5
Determine h so that 2*h**3/3 + 662*h**2/3 + 1318*h/3 + 658/3 = 0.
-329, -1
Suppose -2*h**3 - 6480*h**2 - 6998400*h - 2519424000 = 0. Calculate h.
-1080
Find o, given that 15*o**3/2 - 228*o**2 - 930*o + 408 = 0.
-4, 2/5, 34
Suppose 350*b**4/9 - 374*b**3/3 + 908*b**2/9 - 40*b/3 - 16/9 = 0. What is b?
-2/25, 2/7, 1, 2
Suppose 2*i**4 + 192*i**3 - 588*i**2 + 592*i - 198 = 0. What is i?
-99, 1
Factor 5*g**4 - 40*g**3 - 225*g**2 - 180*g.
5*g*(g - 12)*(g + 1)*(g + 3)
Let -m**5/9 + 2*m**4/9 + 7*m**3/9 - 20*m**2/9 + 4*m/3 = 0. Calculate m.
-3, 0, 1, 2
Find b, given that b**3/3 + 8*b**2/3 + 7*b/3 = 0.
-7, -1, 0
Let 7*d**4 + 167*d**3 + 872*d**2 - 128*d = 0. Calculate d.
-16, -8, 0, 1/7
Factor y**3/3 + 499*y**2/3 + 62000*y/3 - 62500/3.
(y - 1)*(y + 250)**2/3
Factor -3*y**3 - 33*y**2.
-3*y**2*(y + 11)
What is k in -3*k**4/4 - 15*k**3/4 + 93*k**2/2 + 252*k = 0?
-7, -6, 0, 8
Factor -28*j**4 - 44*j**3 + 24*j**2.
-4*j**2*(j + 2)*(7*j - 3)
Factor 6*m**2 - 303*m/2 + 75/2.
3*(m - 25)*(4*m - 1)/2
Let -39*m**3 - 162*m**2 - 24*m = 0. Calculate m.
-4, -2/13, 0
Factor -2*g**4/9 + 68*g**3/9 - 746*g**2/9 + 952*g/3 - 392.
-2*(g - 14)**2*(g - 3)**2/9
Factor h**5/4 + 15*h**4/4 - 17*h**3/2 + h**2/2 + 33*h/4 - 17/4.
(h - 1)**3*(h + 1)*(h + 17)/4
Suppose 5*a**5 - 25*a**4 - 40*a**3 + 380*a**2 - 640*a + 320 = 0. What is a?
-4, 1, 2, 4
Suppose j**5 - 18*j**4 + 106*j**3 - 252*j**2 + 253*j - 90 = 0. Calculate j.
1, 2, 5, 9
Factor 4*i**4 + 12*i**3 + 12*i**2 + 4*i.
4*i*(i + 1)**3
Factor 2*u**5/3 - 2*u**4.
2*u**4*(u - 3)/3
Suppose -15*g**5 + 35*g**4 + 35*g**3 - 75*g**2 - 40*g + 20 = 0. What is g?
-1, 1/3, 2
Suppose 5*s**2 + 4805*s = 0. Calculate s.
-961, 0
Factor -329*p**3 - 13038*p**2 + 4872*p - 320.
-(p + 40)*(7*p - 2)*(47*p - 4)
Find r such that -4*r**3 - 140*r**2 - 508*r - 372 = 0.
-31, -3, -1
Factor 4*s**2/5 - 2008*s/5 + 252004/5.
4*(s - 251)**2/5
Find q such that -3*q**2 + 891*q - 3516 = 0.
4, 293
Find x such that -2*x**2 - 952*x - 113288 = 0.
-238
Factor -2*w**3/15 + 68*w**2/15 + 296*w/15 + 304/15.
-2*(w - 38)*(w + 2)**2/15
Let -w**5 - 11*w**4 - 42*w**3 - 64*w**2 - 32*w = 0. Calculate w.
-4, -2, -1, 0
Let -10*r**4/7 + 36*r**3/7 + 8*r**2 - 144*r/7 - 64/7 = 0. What is r?
-2, -2/5, 2, 4
Factor m**3/3 - 8*m**2/3 - 20*m/3.
m*(m - 10)*(m + 2)/3
Solve 5*n**3 + 85*n**2 - 5*n - 85 = 0 for n.
-17, -1, 1
Determine f so that 2*f**4 - 26*f**3/3 + 8*f**2/3 = 0.
0, 1/3, 4
Factor -w**5/2 - 167*w**4/2 - 331*w**3/2 - 165*w**2/2.
-w**2*(w + 1)**2*(w + 165)/2
Factor -5*x**4 + 15*x**3 - 5*x**2 - 15*x + 10.
-5*(x - 2)*(x - 1)**2*(x + 1)
Find h such that -h**5 + 7*h**4 - 18*h**3 + 22*h**2 - 13*h + 3 = 0.
1, 3
Solve -3*a**3 - 81*a**2 - 285*a - 207 = 0.
-23, -3, -1
Determine v, given that 2*v**4/9 - 76*v**3/9 + 994*v**2/9 - 5096*v/9 + 2744/3 = 0.
3, 7, 14
Suppose -18*t**4/17 - 1320*t**3/17 + 928*t**2/17 + 2976*t/17 + 1184/17 = 0. Calculate t.
-74, -2/3, 2
Factor -2*o**3/3 + 64*o**2/3 - 466*o/3 - 532/3.
-2*(o - 19)*(o - 14)*(o + 1)/3
Suppose 2*a**4/7 - 54*a**3/7 + 486*a**2/7 - 1458*a/7 = 0. What is a?
0, 9
Find o such that 2*o**5/3 + 12*o**4 + 92*o**3/3 + 8*o**2 - 94*o/3 - 20 = 0.
-15, -2, -1, 1
Factor 3*m**3/2 - 15*m**2/2 + 6*m.
3*m*(m - 4)*(m - 1)/2
Find p such that p**2/2 - 2*p - 6 = 0.
-2, 6
Determine s so that 2*s**3/9 - 2*s**2/9 - 4*s/9 = 0.
-1, 0, 2
What is p in -3*p**5/2 - 45*p**4/2 - 141*p**3/2 + 237*p**2/2 + 72*p - 96 = 0?
-8, -1, 1
Factor 3*w**4 - 1704*w**3 + 362952*w**2 - 34359456*w + 1219760688.
3*(w - 142)**4
Solve 5*w**3 - 1255*w**2 + 78120*w + 79380 = 0 for w.
-1, 126
Find v such that v**3/6 + v**2/3 - 3*v/2 - 3 = 0.
-3, -2, 3
Determine j, given that 9*j**3/5 - 6*j**2/5 = 0.
0, 2/3
Factor -r**2/5 + 499*r/5 + 100.
-(r - 500)*(r + 1)/5
Factor -o**3 - 13*o**2 - 22*o.
-o*(o + 2)*(o + 11)
Factor 2*g**3 - 52*g**2/3 + 50*g - 48.
2*(g - 3)**2*(3*g - 8)/3
Factor 2*h**4 + 78*h**3 + 222*h**2 + 218*h + 72.
2*(h + 1)**3*(h + 36)
Determine t so that t**2/4 - 6*t + 143/4 = 0.
11, 13
Factor -k**3/3 - k**2 + 34*k/3 - 16.
-(k - 3)*(k - 2)*(k + 8)/3
Suppose 2*v**5/9 + 10*v**4/3 + 86*v**3/9 - 82*v**2/3 - 376*v/9 + 56 = 0. What is v?
-9, -7, -2, 1, 2
Determine n, given that n**3/3 - 466*n**2/3 + 54752*n/3 - 107648/3 = 0.
2, 232
Factor f**3/4 + 15*f**2/4 + 63*f/4 + 49/4.
(f + 1)*(f + 7)**2/4
Determine x so that -2*x**4/7 + 60*x**3/7 - 58*x**2/7 = 0.
0, 1, 29
Factor 36*k**5 - 1144*k**4 - 256*k**3.
4*k**3*(k - 32)*(9*k + 2)
Suppose 36*c**3/7 - 328*c**2/7 + 320*c/7 = 0. What is c?
0, 10/9, 8
Find q, given that 2*q**4/15 - 2*q**3/15 - 28*q**2/5 = 0.
-6, 0, 7
Factor 15*g**2 + 3159*g - 1266.
3*(g + 211)*(5*g - 2)
Find f such that 15*f**5/4 + 79*f**4/4 + 101*f**3/4 - 19*f**2/4 - 11*f + 3 = 0.
-3, -2, -1, 1/3, 2/5
Let 1715*z**5 + 245*z**4 - 3010*z**3 - 950*z**2 + 1375*z + 625 = 0. Calculate z.
-5/7, 1
Suppose k**3 - 118*k**2 - 484*k - 488 = 0. Calculate k.
-2, 122
Suppose 2*a**2 + 312*a + 12168 = 0. Calculate a.
-78
Factor -3*n**2 + 408*n - 13872.
-3*(n - 68)**2
Factor -k**3 - 6*k**2 - 5*k + 12.
-(k - 1)*(k + 3)*(k + 4)
Factor k**4/4 + 567*k**3/2 + 80372*k**2 - 567*k/2 - 321489/4.
(k - 1)*(k + 1)*(k + 567)**2/4
Factor 8*p**3/9 + 418*p**2/9 + 564*p - 1134.
2*(p + 27)**2*(4*p - 7)/9
Factor 5*y**2 - 540*y + 14580.
5*(y - 54)**2
Solve -5*y**2 + 4470*y + 4475 = 0.
-1, 895
Let -3*w**4 + 51*w**3 + 54*w**2 = 0. What is w?
-1, 0, 18
Let -s**5 - 21*s**4 - 148*s**3 - 384*s**2 - 256*s = 0. Calculate s.
-8, -4, -1, 0
Factor -3*h**3 + 3*h.
-3*h*(h - 1)*(h + 1)
Factor -z**2 - 1421*z - 2838.
-(z + 2)*(z + 1419)
Factor 3*w**2 + 75*w + 72.
3*(w + 1)*(w + 24)
Suppose -s**4/6 - 5*s**3/2 - 49*s**2/6 + 5*s/2 + 25/3 = 0. What is s?
-10, -5, -1, 1
Factor -5*x**5 + 1800*x**4 + 7250*x**3 + 10900*x**2 + 7275*x + 1820.
-5*(x - 364)*(x + 1)**4
Factor 15*f**2 + 27153*f + 5430.
3*(f + 1810)*(5*f + 1)
Solve -r**2/7 + 2080*r/7 - 1081600/7 = 0 for r.
1040
Let -2*k**3 + 18*k**2 - 46*k + 30 = 0. What is k?
1, 3, 5
Suppose -20*t**2 + 505*t - 125 = 0. What is t?
1/4, 25
Factor 7*h**5 + 47*h**4 - 203*h**3 + 257*h**2 - 128*h + 20.
(h - 1)**3*(h + 10)*(7*h - 2)
Factor y**3/7 + 24*y**2/7 - 207*y/7 + 310/7.
(y - 5)*(y - 2)*(y + 31)/7
Factor 4*j**2 - 200*j + 2500.
4*(j - 25)**2
Solve -r**4 - 62*r**3 - 1021*r**2 - 1860*r - 900 = 0.
-30, -1
Factor 2*z**2/5 - 62*z - 312/5.
2*(z - 156)*(z + 1)/5
Factor 3*f**3 - 342*f**2 + 672*f.
3*f*(f - 112)*(f - 2)
Solve -3*m**4/8 - 402*m**3 - 435741*m**2/4 - 642798*m - 7670403/8 = 0 for m.
-533, -3
Factor -76*b**2 - 1372*b - 72.
-4*(b + 18)*(19*b + 1)
Find p, given that 5*p**3 + 20*p**2 + 20*p = 0.
-2, 0
Let -k**3/5 - k**2/5 + k/5 + 1/5 = 0. What is k?
-1, 1
Solve 22*t**4/5 - 428*t**3/5 + 392*t**2 + 240*t = 0 for t.
-6/11, 0, 10
Factor -4*r**2/7 - 72*r - 7040/7.
-4*(r + 16)*(r + 110)/7
Factor -4*b**5 - 648*b**4 - 26244*b**3.
-4*b**3*(b + 81)**2
Factor -s**2/7 - 23*s/7.
-s*(s + 23)/7
Factor 3*l**4 + 198*l**3 + 2592*l**2 + 4602*l + 2205.
3*(l + 1)**2*(l + 15)*(l + 49)
Suppose -5*v**5/3 - 52*v**4/3 - 140*v**3/3 + 112*v**2/3 + 704*v/3 + 256/3 = 0. What is v?
-4, -2/5, 2
Factor -5*l**3 - 70*l**2 - 320*l - 480.
-5*(l + 4)**2*(l + 6)
Factor -m**4 + 17*m**3 + 23