Determine b so that 2*b**5 + 40*b**4 + 156*b**3 + 80*b**2 - 158*b - 120 = 0.
-15, -4, -1, 1
Suppose -2*c**5/7 - 150*c**4/7 + 1292*c**3/7 - 2956*c**2/7 + 378*c - 830/7 = 0. What is c?
-83, 1, 5
Let -5*r**5 - 145*r**4 - 1080*r**3 + 200*r**2 + 9520*r + 11760 = 0. Calculate r.
-14, -2, 3
Suppose 142*j**2/5 + 4971*j/5 + 7 = 0. What is j?
-35, -1/142
Factor -812*p**2 - 176*p + 16.
-4*(7*p + 2)*(29*p - 2)
Determine c, given that -6*c**2 - 735*c/2 - 183/2 = 0.
-61, -1/4
Solve -t**2/4 - 1664*t - 2768896 = 0 for t.
-3328
Suppose 2*c**2 - 48*c - 50 = 0. Calculate c.
-1, 25
Factor -4*y**3 - 6*y**2 + 16*y - 6.
-2*(y - 1)*(y + 3)*(2*y - 1)
Suppose -3*u**4/5 + 18*u**3/5 + 63*u**2/5 - 102*u/5 - 144/5 = 0. Calculate u.
-3, -1, 2, 8
Factor -2*n**5/11 - 2*n**4 + 120*n**3/11.
-2*n**3*(n - 4)*(n + 15)/11
Determine s so that -98*s**3/15 - 434*s**2/3 + 638*s/5 - 138/5 = 0.
-23, 3/7
Factor a**2 - 4*a/5 - 1/5.
(a - 1)*(5*a + 1)/5
Suppose 2*l**2 + 958*l + 956 = 0. What is l?
-478, -1
Factor -2*o**3/3 - 88*o**2/3 + 94*o/3 + 60.
-2*(o - 2)*(o + 1)*(o + 45)/3
Factor -2*q**4 + 177*q**3 - 261*q**2 - q + 87.
-(q - 87)*(q - 1)**2*(2*q + 1)
Factor -5*p**3 + 15*p - 10.
-5*(p - 1)**2*(p + 2)
Solve -q**2/4 - 141*q/2 - 140 = 0.
-280, -2
What is f in 2*f**5/5 - 66*f**4/5 + 576*f**3/5 - 512*f**2/5 = 0?
0, 1, 16
Factor 9*i**4 - 66*i**3 + 111*i**2 - 30*i.
3*i*(i - 5)*(i - 2)*(3*i - 1)
Find r, given that 3*r**4/5 + 153*r**3/5 + 2601*r**2/5 + 14739*r/5 = 0.
-17, 0
Factor 8*u**4/11 - 8*u**3/11 - 166*u**2/11 + 84*u/11 + 882/11.
2*(u + 3)**2*(2*u - 7)**2/11
What is c in c**2/3 + 118*c/3 - 80 = 0?
-120, 2
Solve 21*z**4 + 645*z**3 + 6198*z**2 + 18336*z - 5760 = 0 for z.
-15, -8, 2/7
Solve 4*j**3 - 16*j**2 - 76*j - 56 = 0 for j.
-2, -1, 7
Factor -2*b**3 - 2560*b**2.
-2*b**2*(b + 1280)
Suppose 3*t**3 - 381*t**2 + 14193*t - 126711 = 0. Calculate t.
13, 57
Suppose 2*w**4/3 - 2*w**3/3 = 0. What is w?
0, 1
Let -2*k**2/3 + 2692*k/3 - 905858/3 = 0. What is k?
673
Suppose 2*c**2 - 242*c = 0. Calculate c.
0, 121
Find z such that z**3/4 - 7*z/4 + 3/2 = 0.
-3, 1, 2
Factor 4*q**2 + 380*q.
4*q*(q + 95)
Factor 3*i**3 + 27*i**2 + 45*i + 21.
3*(i + 1)**2*(i + 7)
Factor -3*l**4/5 + 6*l**3/5 + 3*l**2 - 18*l/5.
-3*l*(l - 3)*(l - 1)*(l + 2)/5
Suppose -3*h**4 + 225*h**3 + 693*h**2 + 699*h + 234 = 0. What is h?
-1, 78
Factor -t**4/4 + 15*t**3/4 + 17*t**2/2.
-t**2*(t - 17)*(t + 2)/4
Factor 2*n**3 - 46*n**2/3 + 38*n - 30.
2*(n - 3)**2*(3*n - 5)/3
Factor s**4/2 + s**3/2 - 5*s**2 + 4*s.
s*(s - 2)*(s - 1)*(s + 4)/2
Suppose 5*u**3 + 175*u**2 + 335*u + 165 = 0. What is u?
-33, -1
Factor -j**4/7 - 2*j**3/7 + 11*j**2/7 + 12*j/7 - 36/7.
-(j - 2)**2*(j + 3)**2/7
Let 3*k**3/7 - 765*k**2/7 + 52029*k/7 - 408483/7 = 0. Calculate k.
9, 123
Determine p, given that p**2 + 488*p + 59536 = 0.
-244
Let -4*c**4/7 + 46*c**3/7 - 94*c**2/7 + 36*c/7 = 0. What is c?
0, 1/2, 2, 9
Factor -u**3 - 10*u**2 + 56*u.
-u*(u - 4)*(u + 14)
Solve -r**5 + 4*r**4 + 14*r**3 - 56*r**2 + 59*r - 20 = 0 for r.
-4, 1, 5
Factor -9*w**3/4 - 3*w**2/2 + 3*w/4.
-3*w*(w + 1)*(3*w - 1)/4
Factor -n**3/3 + 280*n**2/3 + 189*n - 282.
-(n - 282)*(n - 1)*(n + 3)/3
Suppose -4*s**5 - 92*s**4 - 80*s**3 + 176*s**2 = 0. Calculate s.
-22, -2, 0, 1
Solve 5*k**3 + 375*k**2 + 735*k + 365 = 0 for k.
-73, -1
Factor -5*u**3 + 20*u**2 + 775*u + 750.
-5*(u - 15)*(u + 1)*(u + 10)
Determine p, given that -5*p**3 + 45*p**2 = 0.
0, 9
Suppose -5*r**2 + 605*r + 1860 = 0. Calculate r.
-3, 124
What is w in -185*w**2 + 470*w - 200 = 0?
20/37, 2
Solve -3*l**4 + 333*l**3 + 1017*l**2 + 1023*l + 342 = 0.
-1, 114
Solve -z**3/11 - 48*z**2/11 + 9*z - 50/11 = 0 for z.
-50, 1
Suppose 16*z**2 + 356*z + 88 = 0. Calculate z.
-22, -1/4
Factor 7*g**2/4 + 2031*g/4 + 145/2.
(g + 290)*(7*g + 1)/4
Determine o so that 3*o**2 + 69*o + 390 = 0.
-13, -10
Determine f, given that 3*f**2/8 + 237*f/2 + 18723/2 = 0.
-158
Factor 6*g**3/5 - 27*g**2 - 213*g/5 - 72/5.
3*(g - 24)*(g + 1)*(2*g + 1)/5
Let 7*f**3 - 2*f**2 - 5*f = 0. What is f?
-5/7, 0, 1
Find n, given that n**3/4 + 519*n**2/4 + 67599*n/4 + 67081/4 = 0.
-259, -1
Suppose -3*v**2/4 + 213*v/4 - 105/2 = 0. Calculate v.
1, 70
Let 588*z**5 - 2415*z**4 - 18*z**3 + 1161*z**2 - 324*z = 0. Calculate z.
-3/4, 0, 3/7, 4
Solve -5*v**5 + 30*v**4 + 10*v**3 - 60*v**2 - 5*v + 30 = 0.
-1, 1, 6
Suppose 3*s**2 + 249*s - 1320 = 0. What is s?
-88, 5
Determine u so that -u**2 - 54*u - 53 = 0.
-53, -1
Factor 2*r**5/3 + 532*r**4/3 + 33752*r**3/3 - 215440*r**2/3 + 439552*r/3 - 295936/3.
2*(r - 2)**3*(r + 136)**2/3
Factor -4*r**2 - 96*r - 252.
-4*(r + 3)*(r + 21)
Factor 2*p**4/3 - 10*p**3/3 - 2*p**2/3 + 34*p/3 + 8.
2*(p - 4)*(p - 3)*(p + 1)**2/3
What is b in -b**2/5 - 54*b = 0?
-270, 0
Factor a**4/4 + 17*a**3/4 + 16*a**2 + 12*a.
a*(a + 1)*(a + 4)*(a + 12)/4
Factor s**3/5 - 2*s**2 + 17*s/5 + 28/5.
(s - 7)*(s - 4)*(s + 1)/5
Factor r**3 + 7*r**2 + 15*r + 9.
(r + 1)*(r + 3)**2
Determine u, given that -u**2 + 2080*u - 1081600 = 0.
1040
Solve 2*g**5/7 + 2*g**4 - 12*g**3/7 - 164*g**2/7 + 10*g/7 + 150/7 = 0 for g.
-5, -1, 1, 3
Determine o so that -5*o**2 - 1150*o - 2280 = 0.
-228, -2
Factor -c**4/2 - 15*c**3/2 - 24*c**2 + 32*c.
-c*(c - 1)*(c + 8)**2/2
Factor -4*o**3 - 72*o**2 - 128*o.
-4*o*(o + 2)*(o + 16)
Factor 484*i**3/5 + 1848*i**2/5 + 432*i + 160.
4*(i + 2)*(11*i + 10)**2/5
Let -6*c**4 + 3*c**3 + 162*c**2 + 243*c - 162 = 0. What is c?
-3, 1/2, 6
Factor 3*x**3/7 + 135*x**2/7 + 207*x - 1587/7.
3*(x - 1)*(x + 23)**2/7
Let -2*c**3/5 - 26*c**2/5 - 46*c/5 - 22/5 = 0. Calculate c.
-11, -1
Suppose -u**4/10 + 3*u**3/10 + 43*u**2/10 - 87*u/10 - 63/5 = 0. Calculate u.
-6, -1, 3, 7
Solve 2*m**2/5 + 30*m + 568/5 = 0.
-71, -4
Find k, given that 2*k**4/3 + 98*k**3/3 - 202*k**2/3 + 34*k = 0.
-51, 0, 1
Factor -3*b**2/7 + 135*b/7 - 132/7.
-3*(b - 44)*(b - 1)/7
Determine j, given that 7*j**5 + 30*j**4 + 29*j**3 + 6*j**2 = 0.
-3, -1, -2/7, 0
Factor u**2/9 + 260*u/9.
u*(u + 260)/9
Factor -2*s**3 - 24*s**2 - 40*s.
-2*s*(s + 2)*(s + 10)
Solve w**2/4 + 11*w/4 + 9/2 = 0 for w.
-9, -2
Factor a**4/3 + 17*a**3 + 225*a**2 + 625*a/3.
a*(a + 1)*(a + 25)**2/3
Factor 5*v**4 + 12430*v**3 + 7725245*v**2.
5*v**2*(v + 1243)**2
Determine z so that 21*z**4 - 27*z**3 - 36*z**2 + 12*z = 0.
-1, 0, 2/7, 2
Factor 5*p**3/3 - 25*p**2/3 - 40*p/3 + 20.
5*(p - 6)*(p - 1)*(p + 2)/3
Determine b so that 5*b**5 + 290*b**4 + 5105*b**3 + 23840*b**2 - 20500*b - 100000 = 0.
-25, -8, -2, 2
Solve -4*i**2 - 19168*i - 22963264 = 0 for i.
-2396
Solve -32*v**5 - 88*v**4 + 156*v**3 - 20*v**2 - 16*v = 0 for v.
-4, -1/4, 0, 1/2, 1
Let -243*z**5/2 - 3753*z**4/2 - 19857*z**3/2 - 38655*z**2/2 - 7200*z - 750 = 0. What is z?
-5, -2/9
Let 3*a**4/5 - 48*a**3/5 + 234*a**2/5 - 336*a/5 + 147/5 = 0. Calculate a.
1, 7
Factor 2*f**2/9 - 22*f/3 - 656/9.
2*(f - 41)*(f + 8)/9
Factor -2*c**2 - 26*c - 24.
-2*(c + 1)*(c + 12)
What is h in 5*h**2 - 125*h + 120 = 0?
1, 24
Find k such that 3*k**5 + 30*k**4 - 6*k**3 - 60*k**2 + 3*k + 30 = 0.
-10, -1, 1
Solve 4*s**5 - 36*s**3 + 16*s**2 + 48*s = 0.
-3, -1, 0, 2
Factor f**3/5 - 96*f**2/5 - 99*f/5 + 194/5.
(f - 97)*(f - 1)*(f + 2)/5
Let j**2 + 18*j + 17 = 0. Calculate j.
-17, -1
Factor -2*m**3 + 366*m**2 - 22326*m + 453962.
-2*(m - 61)**3
Find g, given that 2*g**3/9 + 3472*g**2/9 + 1503370*g/9 - 3020644/9 = 0.
-869, 2
Suppose 3*d**4/7 - 72*d**3/7 - 72*d**2 - 1056*d/7 - 720/7 = 0. What is d?
-2, 30
Factor 4*a**5 - 32*a**4 + 12*a**3 + 368*a**2 - 448*a - 768.
4*(a - 4)**3*(a + 1)*(a + 3)
Factor 2*o**4/5 + 4*o**3 - 74*o**2/5 + 52*o/5.
2*o*(o - 2)*(o - 1)*(o + 13)/5
Factor 4*z**3/5 - 36*z**2/5.
4*z**2*(z - 9)/5
Suppose -4*c**2 + 5*c - 1 = 0. What is c?
1/4, 1
Factor 4*g**2 + 96*g + 576.
4*(g + 12)**2
What is q in q**2 + 140*q + 4900 = 0?
-70
Solve -6*v**5 - 122*v**4/3 - 206*v**3/3 + 106*v**2/3 + 104*v - 24 = 0 for v.
-3, -2, 2/9, 1
Suppose -5*d**3 + 140*d**2 - 125*d - 270 = 0. Calculate d.
-1, 2, 27
Factor -4*m**5 - 120*m**4 - 224*m**3 + 8*m**2 + 228*m + 112.
-4*(m - 1)*(m + 1)**3*(m + 28)
Determine f so that -2*f**3/7 - 1562*f**2/7 - 304198*f/7 + 305762/7 = 0.
-391, 1
Factor 5*z**5 + 120*z**4 + 920*z**3 + 2400*z**2 + 2000*z.
5*z*(z + 2)**2*(z + 10)**2
Factor -p**3/2 + 13*p**2/2 - 20*p.
-p*(p - 8)*(p - 5)/2
Solve f**3/3 + 85*f**2/3 + 692*f/3 + 608/3 = 0.
-76, -8, -1
Determine n, given that 14*n**4/9 - 452*n**3/9 + 2662*n**2/9 - 2824*n