2*j + 744.
-2*(j - 31)*(j + 2)*(j + 6)
Factor -f**5/3 - 2*f**4 - 13*f**3/3 - 4*f**2 - 4*f/3.
-f*(f + 1)**2*(f + 2)**2/3
What is q in -q**3/6 + 13*q**2/2 + q/6 - 13/2 = 0?
-1, 1, 39
Factor -z**4/5 - 704*z**3/5 - 703*z**2/5.
-z**2*(z + 1)*(z + 703)/5
Factor -5*s**4 - 10*s**3 + 15*s**2 + 20*s - 20.
-5*(s - 1)**2*(s + 2)**2
Factor 18*o**2 + 327*o + 1332.
3*(o + 12)*(6*o + 37)
Suppose o**5 + 7*o**4/2 - 23*o**3/2 - 67*o**2/2 + 45*o/2 + 18 = 0. Calculate o.
-4, -3, -1/2, 1, 3
Factor 4*t**5 - 28*t**4 + 56*t**3 - 32*t**2.
4*t**2*(t - 4)*(t - 2)*(t - 1)
Solve -242*c**2/5 + 41976*c/5 - 1820232/5 = 0 for c.
954/11
Let -2*y**3 + 178*y**2 - 1014*y + 1494 = 0. Calculate y.
3, 83
Let d**4/4 + 13*d**3/2 - 29*d**2/4 - 27*d/2 = 0. Calculate d.
-27, -1, 0, 2
Suppose -5*s**4 + 240*s**3 - 2025*s**2 - 21870*s = 0. Calculate s.
-6, 0, 27
Factor -p**4 - 35*p**3 - 206*p**2 + 1760*p - 2400.
-(p - 3)*(p - 2)*(p + 20)**2
Suppose b**2/2 - 35*b/2 + 153 = 0. What is b?
17, 18
Solve -2*s**4/13 - 4*s**3/13 + 6*s**2/13 = 0 for s.
-3, 0, 1
What is k in -2*k**3/11 + 1902*k**2/11 - 3798*k/11 + 1898/11 = 0?
1, 949
Suppose -4*x**4 - 464*x**3 - 13912*x**2 - 26448*x - 12996 = 0. What is x?
-57, -1
Suppose -225*r**4 + 282*r**3 + 324*r**2 + 24*r = 0. Calculate r.
-2/3, -2/25, 0, 2
Suppose -1356*k**4 + 4060*k**3 - 2688*k**2 - 16*k = 0. What is k?
-2/339, 0, 1, 2
Factor -44*u**2 - 42*u + 2.
-2*(u + 1)*(22*u - 1)
Factor 2*u**2/11 - 128*u/11 + 2048/11.
2*(u - 32)**2/11
Factor g**2 + 30*g.
g*(g + 30)
Let 3*a**3 + 216*a**2 + 621*a = 0. What is a?
-69, -3, 0
Let 3*g**2/2 + 327*g/2 - 333 = 0. Calculate g.
-111, 2
Solve u**3/6 - 194*u**2/3 + 129*u/2 = 0 for u.
0, 1, 387
Suppose -513*j**4/4 + 675*j**3/2 - 693*j**2/4 + 22*j + 1 = 0. What is j?
-2/57, 1/3, 2
Factor a**3/2 + 31*a**2/2 + 287*a/2 + 833/2.
(a + 7)**2*(a + 17)/2
Factor 2*h**2 - 868*h + 94178.
2*(h - 217)**2
Solve -o**3/3 - 36*o**2 - 1296*o - 15552 = 0 for o.
-36
Find g, given that -g**2/3 - 9*g = 0.
-27, 0
Factor -m**3/2 + 9*m**2/2 - 9*m.
-m*(m - 6)*(m - 3)/2
Factor z**5 - 461*z**4 - 1854*z**3 - 2786*z**2 - 1859*z - 465.
(z - 465)*(z + 1)**4
Suppose 5*k**3 - 1575*k**2 + 165375*k - 5788125 = 0. What is k?
105
What is p in -p**3 - 69*p**2 + p + 69 = 0?
-69, -1, 1
Factor -5*p**2 - 6170*p - 1903445.
-5*(p + 617)**2
What is h in -165*h**5 + 1218*h**4 - 1767*h**3 - 2094*h**2 + 960*h - 96 = 0?
-1, 2/11, 1/5, 4
Determine o so that -18*o**3 + 375*o**2 - 1701*o - 294 = 0.
-1/6, 7, 14
Find o, given that -3*o**2 - 1038*o - 89787 = 0.
-173
Factor s**2 - 14*s + 24.
(s - 12)*(s - 2)
Factor -4*g**5 - 4*g**4 + 8*g**3 + 8*g**2 - 4*g - 4.
-4*(g - 1)**2*(g + 1)**3
Find m, given that 3*m**3/2 - 1767*m**2/2 - 885*m = 0.
-1, 0, 590
Factor 2*i**3/7 - 12*i**2/7 + 10*i/7.
2*i*(i - 5)*(i - 1)/7
Find k, given that 2*k**2 + 2060*k - 6198 = 0.
-1033, 3
Factor 4*x**4 + 542*x**3 + 72897*x**2/4 - 9214*x + 1156.
(x + 68)**2*(4*x - 1)**2/4
Factor -s**3 - 19*s**2 - 80*s + 100.
-(s - 1)*(s + 10)**2
Determine v so that 5*v**5 + 1185*v**4 + 92350*v**3 + 2260000*v**2 - 8640000*v - 25600000 = 0.
-80, -2, 5
Factor b**2 - 43*b + 280.
(b - 35)*(b - 8)
Factor 3*l**2/7 + 2*l + 8/7.
(l + 4)*(3*l + 2)/7
Factor -2*t**3/5 + 28*t**2/5 - 24*t + 144/5.
-2*(t - 6)**2*(t - 2)/5
Suppose -4*s**5 + 4*s**4 + 8*s**3 = 0. What is s?
-1, 0, 2
Factor -2*j**5 + 30*j**3 - 20*j**2 - 120*j + 144.
-2*(j - 2)**3*(j + 3)**2
Suppose 4*q**4/3 - 16*q**3/3 + 8*q**2/3 + 16*q/3 - 4 = 0. What is q?
-1, 1, 3
Determine n, given that n**4/6 + 5*n**3/2 + 28*n**2/3 + 10*n = 0.
-10, -3, -2, 0
Factor -r**3/3 - 7*r**2 + 147*r - 1715/3.
-(r - 7)**2*(r + 35)/3
Suppose 343*a**5/3 + 931*a**4/3 + 364*a**3/3 - 272*a**2/3 - 32*a/3 + 16/3 = 0. What is a?
-2, -1, -2/7, 2/7
Suppose o**3/6 + 2*o**2/3 + 2*o/3 = 0. Calculate o.
-2, 0
Let -6*m**4/5 - 24*m**3/5 - 12*m**2/5 + 24*m/5 + 18/5 = 0. Calculate m.
-3, -1, 1
Factor -2*t**2/3 - 14*t - 40/3.
-2*(t + 1)*(t + 20)/3
Solve -b**3/3 - b**2 + 24*b + 108 = 0 for b.
-6, 9
Factor 4*b**2 - 27440*b + 47059600.
4*(b - 3430)**2
Factor -2*x**3/7 + 292*x**2/7 - 286*x/7 - 580/7.
-2*(x - 145)*(x - 2)*(x + 1)/7
Suppose -l**4/4 - 17*l**3/4 - 99*l**2/4 - 223*l/4 - 35 = 0. What is l?
-7, -5, -4, -1
Determine c, given that 3*c**5/7 + 3*c**4/7 - 9*c**3/7 - 3*c**2/7 + 6*c/7 = 0.
-2, -1, 0, 1
Factor -3*l**5 - 183*l**4 - 3054*l**3 - 8094*l**2 - 7743*l - 2523.
-3*(l + 1)**3*(l + 29)**2
Find f, given that 3*f**2/2 - 576*f + 55296 = 0.
192
Factor 37632*h**3 - 73248*h**2 - 4005*h - 54.
3*(h - 2)*(112*h + 3)**2
Factor -2*y**3/5 - 1626*y**2/5 - 440646*y/5 - 39805022/5.
-2*(y + 271)**3/5
Determine g so that -7*g**3 - 68*g**2 - 127*g + 42 = 0.
-7, -3, 2/7
Factor b**2/6 + b/2 - 5/3.
(b - 2)*(b + 5)/6
Suppose c**3/2 + 9*c**2/2 - 5*c = 0. Calculate c.
-10, 0, 1
Let 4*k**4 - 76*k**3 - 200*k**2 + 672*k = 0. Calculate k.
-4, 0, 2, 21
Factor -5*x**4 - 60*x**3 + 370*x**2 + 3300*x - 15125.
-5*(x - 5)**2*(x + 11)**2
Find a, given that 4*a**4/11 - 14*a**3/11 + 4*a**2/11 + 6*a/11 = 0.
-1/2, 0, 1, 3
Solve -2*a**5/3 - 2*a**4 + 2*a**3 + 22*a**2/3 + 4*a = 0 for a.
-3, -1, 0, 2
What is o in 4*o**2 + 520*o + 16900 = 0?
-65
Solve 2*x**2/5 + 444*x/5 + 3834/5 = 0.
-213, -9
Let 2*a**4/5 - 6*a**2/5 - 4*a/5 = 0. Calculate a.
-1, 0, 2
Let -2*c**2/5 + 264*c/5 - 8712/5 = 0. Calculate c.
66
Factor -2*x**4/7 + 12*x**3/7 - 10*x**2/7.
-2*x**2*(x - 5)*(x - 1)/7
Find l such that 5*l**5 + 85*l**4 + 315*l**3 - 405*l**2 = 0.
-9, 0, 1
Let c**5 - 20*c**4 + 144*c**3 - 454*c**2 + 623*c - 294 = 0. Calculate c.
1, 2, 3, 7
Solve y**3/2 - 29*y**2 + 1121*y/2 - 3610 = 0 for y.
19, 20
Solve -5*o**4/3 - 8*o**3/3 + 3*o**2 + 8*o/3 - 4/3 = 0.
-2, -1, 2/5, 1
Factor -2*o**2 - 10*o - 8.
-2*(o + 1)*(o + 4)
Factor 78*h**2/5 - 32*h + 8/5.
2*(h - 2)*(39*h - 2)/5
Find v such that -3*v**3/5 + 153*v**2/5 + 651*v/5 + 99 = 0.
-3, -1, 55
Factor l**2/2 - 1947*l + 3790809/2.
(l - 1947)**2/2
Determine g so that 2*g**2 + 134*g - 420 = 0.
-70, 3
Let -t**4/5 + 242*t**3/5 - 14149*t**2/5 - 59532*t/5 - 60516/5 = 0. Calculate t.
-2, 123
Factor -2*p**4 + 108*p**3 - 1346*p**2 - 3024*p - 1568.
-2*(p - 28)**2*(p + 1)**2
Factor 26*y**3/5 + 108*y**2/5 + 94*y/5 + 12/5.
2*(y + 1)*(y + 3)*(13*y + 2)/5
Factor 3*a**2 - 291*a - 594.
3*(a - 99)*(a + 2)
Let -2*o**2 - 320*o + 648 = 0. What is o?
-162, 2
Factor -4*q**3 - 36*q**2 - 8*q + 192.
-4*(q - 2)*(q + 3)*(q + 8)
Factor 3*o**2 - 636*o + 33708.
3*(o - 106)**2
Factor -5*c**4 + 95*c**3 - 400*c**2 - 500*c.
-5*c*(c - 10)**2*(c + 1)
Determine v so that 2*v**3 + 1660*v**2 + 344450*v = 0.
-415, 0
Factor 4*j**3 + 200*j**2.
4*j**2*(j + 50)
What is s in -2*s**4 - 110*s**3/3 + 76*s**2/3 = 0?
-19, 0, 2/3
What is v in v**2 + 50*v + 49 = 0?
-49, -1
Factor -v**3/5 + 172*v**2/5 - 7728*v/5 + 28224/5.
-(v - 84)**2*(v - 4)/5
Factor 3*h**4 - 78*h**3.
3*h**3*(h - 26)
Factor -2*r**3 - 10614*r**2 - 14076816*r + 14087432.
-2*(r - 1)*(r + 2654)**2
Factor 4*l**2 - 1504*l + 141376.
4*(l - 188)**2
Factor j**4/6 - 11*j**3/6 - j**2/2 + 31*j/6 + 11/3.
(j - 11)*(j - 2)*(j + 1)**2/6
What is j in j**2/2 + 110*j + 218 = 0?
-218, -2
Factor 4*q**2 - 144*q + 140.
4*(q - 35)*(q - 1)
Determine i, given that -i**3/2 + 78*i**2 + 648*i + 1312 = 0.
-4, 164
Determine r so that -r**4/3 - 5*r**3/3 - 3*r**2 - 7*r/3 - 2/3 = 0.
-2, -1
Factor -2*j**2 + 8*j - 8.
-2*(j - 2)**2
Factor k**5 + 8*k**4 + 18*k**3 + 16*k**2 + 5*k.
k*(k + 1)**3*(k + 5)
Factor -2*h**4/9 - 4*h**3/9 + 4*h/9 + 2/9.
-2*(h - 1)*(h + 1)**3/9
Factor 3*q**4 - 27*q**3 + 45*q**2 + 75*q.
3*q*(q - 5)**2*(q + 1)
Let 5*m**5 - 10*m**4 - 130*m**3 - 280*m**2 - 235*m - 70 = 0. What is m?
-2, -1, 7
Factor 75*r**2 - 378*r/5 + 3/5.
3*(r - 1)*(125*r - 1)/5
Factor 4*c**3 + 64*c**2 + 116*c + 56.
4*(c + 1)**2*(c + 14)
Determine t so that 2*t**4/9 + 34*t**3/9 - 2*t**2/3 - 106*t/9 - 68/9 = 0.
-17, -1, 2
Solve -x**2/2 + 9326*x - 43487138 = 0.
9326
Suppose 14*j**4 + 80*j**3 + 18*j**2 - 152*j + 40 = 0. What is j?
-5, -2, 2/7, 1
Find m, given that -3*m**5 + 324*m**4 - 639*m**3 + 318*m**2 = 0.
0, 1, 106
Factor -2*y**2/13 + 4*y - 50/13.
-2*(y - 25)*(y - 1)/13
Solve -2*r**4/9 + 26*r**3/9 - 124*r**2/9 + 256*r/9 - 64/3 = 0 for r.
2, 3, 4
Factor -x**3/4 - 3*x**2/4 + 4*x - 3.
-(x - 2)*(x - 1)*(x + 6)/4
Solve -2*l**2 - 72*l + 320 = 0.
-40, 4
Factor n**3/3 + 16*n**2 + 47*n/3.
n*(n + 1)*(n + 47)/3
Find n, given that -n**4/2 + n**3/2 + 25*n**2 + 24*n = 0.
-6, -