14
Factor -o**3 - 23*o**2 + 78*o.
-o*(o - 3)*(o + 26)
What is r in -r**5/4 + 41*r**4/4 - 136*r**3 + 518*r**2 + 980*r - 1372 = 0?
-2, 1, 14
Factor 5*s**3/3 + 2038*s**2/3 - 2861*s/3 + 818/3.
(s - 1)*(s + 409)*(5*s - 2)/3
Factor h**3 + 302*h**2 + 22496*h - 46208.
(h - 2)*(h + 152)**2
Factor 4*y**2 - 24*y + 20.
4*(y - 5)*(y - 1)
Factor -x**2/4 - 37*x/4 + 39/2.
-(x - 2)*(x + 39)/4
Solve -5*u**4 + 190*u**3 - 1805*u**2 = 0 for u.
0, 19
Suppose 5*d**4 + 10*d**3 - 5*d**2 - 10*d = 0. Calculate d.
-2, -1, 0, 1
Factor -j**5/2 + 23*j**4/2 - 60*j**3 - 72*j**2.
-j**2*(j - 12)**2*(j + 1)/2
Determine d, given that 3*d**4/5 + 21*d**3/5 - 81*d**2/5 - 729*d/5 - 1134/5 = 0.
-7, -3, 6
Suppose 4*x**5 + 380*x**4 - 392*x**3 - 768*x**2 = 0. Calculate x.
-96, -1, 0, 2
Determine w, given that 5*w**4 - 10*w**3 - 125*w**2 + 250*w = 0.
-5, 0, 2, 5
Factor 2*y**3 + 864*y**2/5 + 2024*y/5 + 672/5.
2*(y + 2)*(y + 84)*(5*y + 2)/5
Suppose -3*p**2 - 24*p - 21 = 0. Calculate p.
-7, -1
Factor 4*y**4/3 + 28*y**3/3 + 12*y**2 - 36*y - 72.
4*(y - 2)*(y + 3)**3/3
Factor -25*w**2/8 - 1460*w - 170528.
-(5*w + 1168)**2/8
Factor 4*n**4 + 8528*n**3 + 6818136*n**2 + 2422710992*n + 322826239684.
4*(n + 533)**4
Find w, given that -2*w**4/11 + 8*w**3/11 + 8*w**2/11 - 32*w/11 = 0.
-2, 0, 2, 4
Factor -f**2/4 - f/4 + 15/2.
-(f - 5)*(f + 6)/4
Factor -40*h**4 + 85*h**3 + 110*h**2 - 15*h.
-5*h*(h - 3)*(h + 1)*(8*h - 1)
Solve 36*r**5/7 + 152*r**4/7 + 176*r**3/7 + 32*r**2/7 = 0 for r.
-2, -2/9, 0
Determine v so that -3*v**5 - 72*v**4 - 624*v**3 - 2304*v**2 - 3072*v = 0.
-8, -4, 0
Factor -2*v**2 - 4*v.
-2*v*(v + 2)
Let 8*s**5/7 - 60*s**4/7 + 160*s**3/7 - 180*s**2/7 + 72*s/7 = 0. What is s?
0, 1, 3/2, 2, 3
Factor -462080*h**4 - 927200*h**3 - 468165*h**2 - 3050*h - 5.
-5*(h + 1)**2*(304*h + 1)**2
Suppose -5*o**3 - 115*o**2 - 630*o = 0. What is o?
-14, -9, 0
Factor 4*l**4 - 3996*l**3 + 1330668*l**2 - 147704148*l.
4*l*(l - 333)**3
Factor 3*j**4/7 - 192*j**3/7 + 3594*j**2/7 - 16704*j/7 + 22707/7.
3*(j - 29)**2*(j - 3)**2/7
Determine i so that 5*i**3 + 185*i**2 + 180*i = 0.
-36, -1, 0
Determine o, given that -3*o**2/7 + 285*o/7 + 288/7 = 0.
-1, 96
Suppose -51842*n**2/11 + 1288*n/11 - 8/11 = 0. What is n?
2/161
Factor -5*m**3/9 + 167*m**2/9 - 67*m + 49.
-(m - 3)*(m - 1)*(5*m - 147)/9
Suppose 3*m**2 - 753*m + 750 = 0. Calculate m.
1, 250
Suppose 2*h**2/7 + 2092*h/7 + 4176/7 = 0. What is h?
-1044, -2
Find r, given that 2*r**5/9 + 314*r**4/9 - 214*r**3/3 - 946*r**2/9 + 1280*r/9 + 424/3 = 0.
-159, -1, 2
Factor 5*d**5 - 40*d**4 - 30*d**3 + 200*d**2 + 305*d + 120.
5*(d - 8)*(d - 3)*(d + 1)**3
Find t, given that t**5/7 + 10*t**4/7 + 4*t**3 + 10*t**2/7 - 29*t/7 - 20/7 = 0.
-5, -4, -1, 1
Determine j, given that -2*j**4 + 140*j**3 - 912*j**2 + 1908*j - 1134 = 0.
1, 3, 63
Solve 5*i**4 - 280*i**3 + 3630*i**2 + 8120*i + 4205 = 0 for i.
-1, 29
Factor n**3/2 + 23*n**2 - 791*n/2 + 1470.
(n - 7)**2*(n + 60)/2
What is k in k**2/3 + 376*k/3 - 1520/3 = 0?
-380, 4
Factor -3*n**3/2 - 876*n**2 - 127896*n.
-3*n*(n + 292)**2/2
Factor 2*u**3/5 + 32*u**2/5 - 22*u + 76/5.
2*(u - 2)*(u - 1)*(u + 19)/5
Factor o**3/3 + 23*o**2/3 - 53*o/3 - 25.
(o - 3)*(o + 1)*(o + 25)/3
Let -18*r**4/5 + 192*r**3/5 - 696*r**2/5 + 192*r - 384/5 = 0. What is r?
2/3, 2, 4
Factor -5*p**4 + 15*p**2 + 10*p.
-5*p*(p - 2)*(p + 1)**2
Solve -3*x**4 + 36*x**3 + 894*x**2 - 10620*x - 11475 = 0.
-17, -1, 15
Factor -4*s**2/3 + 34*s/3 - 14.
-2*(s - 7)*(2*s - 3)/3
Solve 92*p**5 + 100*p**4 + 8*p**3 = 0.
-1, -2/23, 0
Factor -f**2 + 270*f - 3096.
-(f - 258)*(f - 12)
What is l in l**5/6 - 20*l**4 + 1859*l**3/3 - 1180*l**2 + 3481*l/6 = 0?
0, 1, 59
Solve -a**5/4 - 13*a**4/2 - 9*a**3/2 + 47*a**2 + 331*a/4 + 75/2 = 0 for a.
-25, -2, -1, 3
Find w such that 2*w**2/5 - 192*w/5 + 4608/5 = 0.
48
Let -4*r**5 + 8*r**4 + 60*r**3 - 32*r**2 - 272*r - 192 = 0. Calculate r.
-2, -1, 3, 4
Determine s so that s**2/4 + 141*s/2 + 19881/4 = 0.
-141
Factor k**4/4 - 25*k**3/4 - 433*k**2/4 - 407*k/4.
k*(k - 37)*(k + 1)*(k + 11)/4
Solve -2*u**5/5 + 6*u**4/5 + 14*u**3/5 - 22*u**2/5 - 12*u/5 + 16/5 = 0 for u.
-2, -1, 1, 4
Solve -2*q**3/11 + 1296*q**2/11 - 209952*q/11 = 0.
0, 324
Factor -4*p**3 - 328*p**2 - 324*p.
-4*p*(p + 1)*(p + 81)
Factor -3*o**3 - 267*o**2 - 6321*o - 16641.
-3*(o + 3)*(o + 43)**2
Factor -2*n**4/3 + 22*n**3/3 - 10*n**2 - 18*n.
-2*n*(n - 9)*(n - 3)*(n + 1)/3
Suppose 4*r**5 + 40*r**4 - 80*r**3 - 440*r**2 - 500*r - 176 = 0. What is r?
-11, -1, 4
Factor 2*u**5/11 - 838*u**4/11 + 116760*u**3/11 - 5370400*u**2/11 - 5488000*u/11.
2*u*(u - 140)**3*(u + 1)/11
Solve 3*s**5 - 531*s**4 + 22137*s**3 + 119859*s**2 + 196560*s + 99372 = 0 for s.
-2, -1, 91
Let 3*z**3/2 + 36*z**2 + 135*z/2 + 33 = 0. What is z?
-22, -1
Find n such that 2*n**3/3 + 10*n**2 + 50*n + 250/3 = 0.
-5
Suppose -5*w**4 - 115*w**3 - 525*w**2 + 1395*w + 4050 = 0. Calculate w.
-15, -9, -2, 3
What is l in 5*l**4 - 320*l**3 + 865*l**2 + 3050*l = 0?
-2, 0, 5, 61
Let 2*n**3/7 + 32*n**2/7 - 2*n/7 - 32/7 = 0. What is n?
-16, -1, 1
Solve -3*g**3 + 12*g**2 + 3*g - 12 = 0 for g.
-1, 1, 4
Determine f so that 2*f**2/9 + 8*f + 54 = 0.
-27, -9
Solve -2*c**3/11 + 6*c**2/11 - 4*c/11 = 0.
0, 1, 2
Factor -4*l**2/5 - 8*l/5 + 12/5.
-4*(l - 1)*(l + 3)/5
Factor j**5 + 259*j**4 + 22446*j**3 + 658244*j**2 + 636056*j.
j*(j + 1)*(j + 86)**3
Determine a, given that 68*a**2 + 148*a + 24 = 0.
-2, -3/17
Find o, given that -3*o**3 + 30*o**2 - 69*o + 42 = 0.
1, 2, 7
Let -98*a**5 + 280*a**4 - 74*a**3 - 236*a**2 + 64*a + 64 = 0. What is a?
-4/7, 1, 2
Find k, given that 7*k**2 + 32*k - 15 = 0.
-5, 3/7
Determine j, given that j**5 + 28*j**4 + 283*j**3 + 1160*j**2 + 1088*j - 2560 = 0.
-8, -5, 1
Determine n, given that 97*n**3/4 + n**2/2 = 0.
-2/97, 0
Find d such that d**5 + 43*d**4 + 440*d**3 - 484*d**2 = 0.
-22, 0, 1
Factor 3*b**2 + 876*b + 63948.
3*(b + 146)**2
Factor 4*w**2 - 32*w + 28.
4*(w - 7)*(w - 1)
Factor 3*r**4/7 + 15*r**3/7 + 6*r**2/7 - 24*r/7.
3*r*(r - 1)*(r + 2)*(r + 4)/7
Suppose 4*j**2 - 48*j + 144 = 0. Calculate j.
6
Factor o**3/9 - o**2 - 16*o/3 - 52/9.
(o - 13)*(o + 2)**2/9
Factor -g**5 - g**4 + 8*g**3 + 12*g**2.
-g**2*(g - 3)*(g + 2)**2
Factor -2*x**3/13 + 242*x**2/13 - 7440*x/13 + 7200/13.
-2*(x - 60)**2*(x - 1)/13
Determine s so that -7*s**5/8 - 9*s**4/4 + 27*s**3/8 + 31*s**2/4 + 3*s = 0.
-3, -1, -4/7, 0, 2
Determine w so that -5*w**3 - 2540*w**2 - 320025*w + 650250 = 0.
-255, 2
Determine n so that n**3/2 - 20*n**2 + 200*n = 0.
0, 20
Solve -4*b**3 + 44*b**2 - 140*b + 100 = 0 for b.
1, 5
Suppose 33*c**2/7 - 423*c/7 - 78/7 = 0. What is c?
-2/11, 13
Solve 3*v**3 + 72*v**2 - 153*v + 78 = 0.
-26, 1
Determine s, given that s**3/5 - 14*s**2/5 - 4*s + 120 = 0.
-6, 10
Factor -f**3 + 140*f**2 - 5037*f + 9522.
-(f - 69)**2*(f - 2)
Factor -t**2 - 137*t + 138.
-(t - 1)*(t + 138)
Factor -n**3 + n**2 + 120*n + 468.
-(n - 13)*(n + 6)**2
Determine g so that -2*g**5/5 - 98*g**4/5 - 1654*g**3/5 - 10846*g**2/5 - 19152*g/5 + 31752/5 = 0.
-18, -7, 1
Find r, given that r**2 - 21*r + 54 = 0.
3, 18
Solve -l**3/2 - 285*l**2/2 + 431*l - 288 = 0 for l.
-288, 1, 2
Let 3*i**2 - 288*i + 285 = 0. What is i?
1, 95
Factor 2*q**2 - 488*q + 968.
2*(q - 242)*(q - 2)
Let -c**4/8 + 93*c**3/8 - 2115*c**2/8 - 2209*c/8 = 0. Calculate c.
-1, 0, 47
Solve 3*i**2 + 48*i + 84 = 0.
-14, -2
Find w, given that -20*w**5/3 - 356*w**4/3 + 463*w**3/3 + 118*w**2/3 - 281*w/3 + 76/3 = 0.
-19, -4/5, 1/2, 1
Suppose 5*d**3 + 35*d**2 + 75*d + 45 = 0. What is d?
-3, -1
What is u in -2*u**2/17 - 24*u/17 - 72/17 = 0?
-6
Factor v**3/8 + 79*v**2/8 + 209*v + 1083/2.
(v + 3)*(v + 38)**2/8
Factor -21*i**4 + 57*i**3 - 45*i**2 + 3*i + 6.
-3*(i - 1)**3*(7*i + 2)
Suppose -2*f**5 + 8*f**4 - 2*f**3 - 12*f**2 = 0. What is f?
-1, 0, 2, 3
Solve -2*z**4/13 - 1346*z**3/13 - 302400*z**2/13 - 22779904*z/13 - 22478848/13 = 0.
-224, -1
Factor -s**4/5 - 39*s**3/5 - 96*s**2 - 380*s.
-s*(s + 10)**2*(s + 19)/5
Factor 4*q**2 - 2136*q + 2132.
4*(q - 533)*(q - 1)
Factor 2*l**3/5 - 8*l**2/5 - 2*l/5 + 8/5.
2*(l - 4)*(l - 1)*(l + 1)/5
Determine g so that -g**2 - 33*g + 34 = 0.
-34, 1
Determine m, given that -2*m**3/13 - 12*m**2/13 + 54*m/13 = 0.
-9, 0, 3
Find q, given that -2*q**4/3 + 16*q**3/3 - 44*q**2/3 + 16*q - 6 = 0.
1, 3
Factor 4*w**4 - 13*w**3 + 8*w**2 + 7*w - 6.
(w - 2)*(w - 1)**2*(4*w + 3)
Solve -m**4/4 + 2*m**3 + 5*m**2/2 - 2*m -