11, -2, -1, 0
Find m such that 1922*m**2/9 - 496*m/9 + 32/9 = 0.
4/31
Factor o**2/5 + 8*o - 84/5.
(o - 2)*(o + 42)/5
Find g such that 40*g**2 - 402*g - 82 = 0.
-1/5, 41/4
Suppose x**2/4 - 3*x/2 + 2 = 0. What is x?
2, 4
Find x, given that 2*x**2 - 20544*x + 52756992 = 0.
5136
Determine y, given that y**4 - 9*y**3 + 27*y**2 - 27*y = 0.
0, 3
Find f, given that f**5/3 + 2*f**4/3 - 7*f**3/3 - 8*f**2/3 + 4*f = 0.
-3, -2, 0, 1, 2
Factor 9*u**2/2 + 161*u - 36.
(u + 36)*(9*u - 2)/2
Factor -2*c**3/9 + 4*c**2/9 + 16*c/9.
-2*c*(c - 4)*(c + 2)/9
Find z such that 4*z**5/7 + z**4/7 - 68*z**3/7 + 127*z**2/7 - 44*z/7 - 20/7 = 0.
-5, -1/4, 1, 2
Let d**5/4 - 15*d**4 + 897*d**3/4 + 89*d**2/2 - 645*d - 450 = 0. What is d?
-1, 2, 30
Factor -4*p**2 + 8488*p - 4502884.
-4*(p - 1061)**2
Factor -5*m**2 - 5*m + 100.
-5*(m - 4)*(m + 5)
Determine q, given that 5*q**2 - 130*q + 845 = 0.
13
Solve -3*n**4/4 - 237*n**3/2 - 459*n**2/4 + 474*n + 471 = 0.
-157, -2, -1, 2
Let -2*g**2 - 352*g - 696 = 0. What is g?
-174, -2
Find n, given that n**2/2 - 12*n - 1610 = 0.
-46, 70
Factor g**5/6 + g**4/2 - 5*g**3/3.
g**3*(g - 2)*(g + 5)/6
What is q in -21*q**5 + 549*q**4/5 - 492*q**3/5 - 144*q**2/5 + 192*q/5 = 0?
-4/7, 0, 4/5, 1, 4
Find w such that -w**3/6 - 7*w**2/2 - 10*w/3 = 0.
-20, -1, 0
Factor 2*y**2/15 - 112*y/15 + 1568/15.
2*(y - 28)**2/15
What is b in -b**3/3 - 173*b**2/3 + 886*b/3 - 712/3 = 0?
-178, 1, 4
Factor t**3/5 + 21*t**2/5 + 18*t/5 - 8.
(t - 1)*(t + 2)*(t + 20)/5
Factor -4*j**5/3 - 76*j**4 - 4928*j**3/3 - 48608*j**2/3 - 65856*j - 153664/3.
-4*(j + 1)*(j + 14)**4/3
Factor -2*i**4/5 - 4*i**3 + 6*i**2/5 + 56*i - 392/5.
-2*(i - 2)**2*(i + 7)**2/5
Let 4*r**5 + 44*r**4 + 92*r**3 - 188*r**2 - 96*r + 144 = 0. Calculate r.
-6, -1, 1
Suppose 4*o**2 - 736*o + 33856 = 0. Calculate o.
92
Factor 3*p**3 - 135*p**2 + 261*p - 129.
3*(p - 43)*(p - 1)**2
Factor -4*y**2 - 52*y + 272.
-4*(y - 4)*(y + 17)
Solve -o**3 - 5*o**2 + 32*o - 36 = 0.
-9, 2
Solve -6*p**5/5 - 106*p**4/5 - 642*p**3/5 - 286*p**2 - 528*p/5 + 72 = 0.
-6, -5, -1, 1/3
Determine j so that 46*j**5/7 - 2*j**4 - 46*j**3/7 + 2*j**2 = 0.
-1, 0, 7/23, 1
Factor -2*t**3/19 - 6*t**2/19 + 26*t/19 + 30/19.
-2*(t - 3)*(t + 1)*(t + 5)/19
Factor 2*z**3 + 24*z**2 - 50*z - 312.
2*(z - 4)*(z + 3)*(z + 13)
Factor 25*a**2 - 35*a + 10.
5*(a - 1)*(5*a - 2)
Factor p**4/4 - p**3/2 - 5*p**2/4 + 3*p/2.
p*(p - 3)*(p - 1)*(p + 2)/4
Factor 2*o**2/17 - 80*o/17 + 78/17.
2*(o - 39)*(o - 1)/17
Factor 60*y**5 + 248*y**4/5 + 32*y**3/5.
4*y**3*(3*y + 2)*(25*y + 4)/5
Factor -4*v**4 + 1392*v**3.
-4*v**3*(v - 348)
Factor -7395858*k**2/11 + 15384*k/11 - 8/11.
-2*(1923*k - 2)**2/11
Factor -2*s**2/15 - 2*s/5 + 12/5.
-2*(s - 3)*(s + 6)/15
Factor -h**4 + 49*h**2.
-h**2*(h - 7)*(h + 7)
Factor -3*s**2 - 5781*s - 5778.
-3*(s + 1)*(s + 1926)
Factor x**2/2 + 152*x - 306.
(x - 2)*(x + 306)/2
Factor 24*k**3 + 320*k**2 + 4154*k/3 + 1922.
2*(k + 3)*(6*k + 31)**2/3
Factor -c**2/9 + 202*c/9 + 203/9.
-(c - 203)*(c + 1)/9
Factor -4*g**2 - 11336*g - 8031556.
-4*(g + 1417)**2
Solve 2*s**3/5 - 2*s**2 - 16*s/5 + 24/5 = 0.
-2, 1, 6
Factor 3*m**3/7 + 48*m**2/7 - 33*m/7 - 2178/7.
3*(m - 6)*(m + 11)**2/7
Factor -t**3/3 + 11*t**2/6 - 13*t/6 + 2/3.
-(t - 4)*(t - 1)*(2*t - 1)/6
Factor -4*m**4 - 192*m**3 - 1888*m**2 + 9984*m - 10816.
-4*(m - 2)**2*(m + 26)**2
Find w such that 4*w**5 - 20*w**3 + 16*w = 0.
-2, -1, 0, 1, 2
Find t such that t**4/4 + 71*t**3/2 + 413*t**2/4 - 139*t = 0.
-139, -4, 0, 1
Solve -h**3 + 17*h**2 - 44*h + 28 = 0 for h.
1, 2, 14
Factor -2*o**5/15 + 316*o**4/5 - 37446*o**3/5.
-2*o**3*(o - 237)**2/15
Suppose 2*o**3 + 52*o**2/5 + 26*o/5 - 88/5 = 0. Calculate o.
-4, -11/5, 1
Solve -8*g**5/7 - 16*g**4/7 + 94*g**3/7 + 138*g**2/7 - 198*g/7 + 54/7 = 0.
-3, 1/2, 3
Determine o, given that -o**3 + 386*o**2 + 779*o - 1164 = 0.
-3, 1, 388
Factor -u**3 + 30*u**2 - 252*u + 648.
-(u - 18)*(u - 6)**2
Determine g, given that -3*g**2 - 27*g - 42 = 0.
-7, -2
Suppose 3*s**5/2 + 2325*s**4 + 1441500*s**3 + 446865000*s**2 + 69264075000*s + 4294372650000 = 0. What is s?
-310
Suppose -2*g**2/3 + 100*g/3 + 34 = 0. Calculate g.
-1, 51
Determine r so that 5*r**3 - 215*r**2 + 415*r - 205 = 0.
1, 41
Determine f, given that 25*f**3 - 10*f**2 - 35*f = 0.
-1, 0, 7/5
Suppose 5*h**4 + 1035*h**3 - 34050*h**2 + 350500*h - 1185000 = 0. Calculate h.
-237, 10
Factor -3*q**4 - 2109*q**3 - 4209*q**2 - 2103*q.
-3*q*(q + 1)**2*(q + 701)
Solve 9*y**4/7 - 19*y**3 + 402*y**2/7 + 96*y + 128/7 = 0.
-1, -2/9, 8
What is n in -2*n**3/3 - 278*n**2/3 - 542*n/3 + 274 = 0?
-137, -3, 1
Factor 3*w**2/5 - 84*w/5 - 279/5.
3*(w - 31)*(w + 3)/5
What is b in -4*b**2/5 + 764*b/5 + 768/5 = 0?
-1, 192
Factor 5*v**2 + 325*v + 930.
5*(v + 3)*(v + 62)
Factor -4*n**2 + 72*n + 160.
-4*(n - 20)*(n + 2)
Factor -4*m**2 + 100.
-4*(m - 5)*(m + 5)
Suppose -3*y**3 + 1857*y**2 - 5550*y + 3696 = 0. What is y?
1, 2, 616
Solve w**5/7 - 16*w**4/7 + 46*w**3/7 + 144*w**2/7 + 81*w/7 = 0.
-1, 0, 9
Suppose -2*b**5/3 - 2*b**4 + 12*b**3 + 172*b**2/3 + 74*b + 30 = 0. What is b?
-3, -1, 5
Factor -2*w**4/11 - 94*w**3 - 132080*w**2/11 + 405600*w/11.
-2*w*(w - 3)*(w + 260)**2/11
Find w such that -4*w**5 + 228*w**4 + 472*w**3 + 8*w**2 - 468*w - 236 = 0.
-1, 1, 59
Let 4*b**4/7 + 8*b**3/7 - 32*b**2/7 - 72*b/7 - 36/7 = 0. Calculate b.
-3, -1, 3
Factor g**2 + 2702*g - 2703.
(g - 1)*(g + 2703)
Factor 3*v**4 + 15*v**3 - 18*v**2.
3*v**2*(v - 1)*(v + 6)
Determine g so that 2*g**2 + 270*g - 1112 = 0.
-139, 4
Solve -2*l**5/7 + 26*l**4/7 - 62*l**3/7 - 202*l**2/7 + 40*l + 56 = 0.
-2, -1, 2, 7
Let b**2 + 1716*b + 736164 = 0. Calculate b.
-858
Factor 40*m**4 - 1695*m**3 + 630*m**2.
5*m**2*(m - 42)*(8*m - 3)
Let 5*o**2/3 + 119*o/3 = 0. Calculate o.
-119/5, 0
Suppose -39*t**2/7 + 252*t - 405/7 = 0. Calculate t.
3/13, 45
Factor h**2/7 + 5*h - 624/7.
(h - 13)*(h + 48)/7
Factor 4*c**5 + 20*c**4 + 32*c**3 + 16*c**2.
4*c**2*(c + 1)*(c + 2)**2
Find j, given that j**5/3 - 23*j**4/3 - 145*j**3 - 1157*j**2/3 - 1106*j/3 - 120 = 0.
-10, -1, 36
Factor -4*s**3 + 76*s**2 - 124*s - 204.
-4*(s - 17)*(s - 3)*(s + 1)
Determine h so that 4*h**4 - 1020*h**3 - 12*h**2 + 3052*h + 2040 = 0.
-1, 2, 255
Solve 2*q**5/3 - 4*q**4/3 - 28*q**3 + 152*q**2/3 + 530*q/3 + 100 = 0.
-6, -1, 5
Solve -15*w**4 - 36*w**3 + 48*w**2 + 144*w + 48 = 0.
-2, -2/5, 2
Let -2*l**3/9 + 20*l**2/9 + 104*l/9 + 112/9 = 0. Calculate l.
-2, 14
Factor o**4/4 - 2*o**3 + 3*o**2/2 + 2*o - 7/4.
(o - 7)*(o - 1)**2*(o + 1)/4
Factor 4*k**3/5 - 4*k**2 - 52*k/5 - 28/5.
4*(k - 7)*(k + 1)**2/5
Let -a**3/3 - 3*a**2 + 16*a - 52/3 = 0. What is a?
-13, 2
What is a in a**2/2 + 91*a/2 - 141 = 0?
-94, 3
Factor -2*m**2/19 + 36*m/19 - 34/19.
-2*(m - 17)*(m - 1)/19
Let 2*h**2 - 220*h + 218 = 0. What is h?
1, 109
Factor k**3 - 7*k**2 - 44*k.
k*(k - 11)*(k + 4)
Solve -n**4 + 128*n**3 - 6144*n**2 + 131072*n - 1048576 = 0 for n.
32
Factor h**2/2 - 3*h/2 - 9.
(h - 6)*(h + 3)/2
Factor v**2/2 + 29*v/2 + 50.
(v + 4)*(v + 25)/2
Determine d, given that 4*d**2 - 656*d - 660 = 0.
-1, 165
Factor -7*z**4 + 138*z**3 + 348*z**2 + 88*z.
-z*(z - 22)*(z + 2)*(7*z + 2)
Let 5*k**5 - 130*k**4 + 565*k**3 - 860*k**2 + 420*k = 0. What is k?
0, 1, 2, 21
Let -3*r**3 - 282*r**2 - 3693*r + 3978 = 0. Calculate r.
-78, -17, 1
Let 4*s**3/7 - 4920*s**2/7 + 2017200*s/7 - 275684000/7 = 0. Calculate s.
410
Factor 28*u**4 + 96*u**3 - 1924*u**2 - 840*u.
4*u*(u - 7)*(u + 10)*(7*u + 3)
Factor -y**5/5 - 6*y**4/5 + 3*y**3 - 8*y**2/5.
-y**2*(y - 1)**2*(y + 8)/5
Determine x, given that 3*x**2 + 39*x - 42 = 0.
-14, 1
Factor 7*p**2 + 23*p/3 + 2/3.
(p + 1)*(21*p + 2)/3
Solve -k**4/4 - 3*k**3/4 + k**2/4 + 3*k/4 = 0.
-3, -1, 0, 1
Factor -4*l**3/7 + 256*l**2/7 + 3348*l/7 - 3600/7.
-4*(l - 75)*(l - 1)*(l + 12)/7
Find p such that 2*p**2/3 + 3511*p/3 + 585 = 0.
-1755, -1/2
Factor -18*a**3 + 194*a**2 - 388*a - 96.
-2*(a - 8)*(a - 3)*(9*a + 2)
Determine d so that -2*d**4/9 + 12*d**3 - 1346*d**2/9 - 336*d - 1568/9 = 0.
-1, 28
Factor -4*w**4/5 + 12*w**3/5 + 36*w**2/5 + 4*w.
-4*w*(w - 5)*(w + 1)**2/5
Factor s**4 + 2*s**3 - 75*s**2 - 400*s - 500.
(s - 10)*(s + 2)*(s + 5)**2
Factor i**3/3 - 14*i**2 + 41*i/3.
i*(i - 41)*(i - 1)/3
Factor -j**2/12 + 541*j/6 - 292681/12.
-(j - 541)**2/12
Factor -2*o**5 + 286*o**4 - 846*o**3 + 842*o**2 - 280*o.
-2*o*(o - 140)*(o - 1)**3
Factor 2*y**3/17 - 54*y**2/17 + 220*y/17.
2*y*(y -