. What is o?
-618, 0
Determine c, given that -45*c**5 + 4740*c**4 - 123230*c**3 - 83740*c**2 - 14045*c = 0.
-1/3, 0, 53
Factor -2*w**3/11 + 78*w**2/11 - 72*w/11 - 152/11.
-2*(w - 38)*(w - 2)*(w + 1)/11
Solve -5*g**3/3 + 10*g**2 + 125*g/3 + 30 = 0 for g.
-2, -1, 9
Solve b**4/4 - 5*b**3/4 - 21*b**2/4 - 23*b/4 - 2 = 0 for b.
-1, 8
Find c such that -4*c**3/5 - 4014*c**2/5 + 10056*c/5 - 4024/5 = 0.
-1006, 1/2, 2
Factor -980*q**3 + 2100*q**2 - 285*q + 10.
-5*(q - 2)*(14*q - 1)**2
Factor -2*r**2/17 + 12112*r/17 - 18337568/17.
-2*(r - 3028)**2/17
Factor -5*j**2 - 1460*j - 1455.
-5*(j + 1)*(j + 291)
Let 10*q**5 - 338*q**4 - 78*q**3 + 338*q**2 + 68*q = 0. What is q?
-1, -1/5, 0, 1, 34
Factor q**5 + 69*q**4 + 68*q**3.
q**3*(q + 1)*(q + 68)
Factor -q**4/5 - q**3 + 7*q**2/5 + q - 6/5.
-(q - 1)**2*(q + 1)*(q + 6)/5
Determine f so that f**5 - 21*f**4 + 97*f**3 + 165*f**2 - 242*f = 0.
-2, 0, 1, 11
Factor -2*h**3/15 + 104*h**2/15 - 202*h/15 + 20/3.
-2*(h - 50)*(h - 1)**2/15
What is o in -6*o**5/5 - 23*o**4 - 228*o**3/5 - 118*o**2/5 + 18*o/5 + 17/5 = 0?
-17, -1, -1/2, 1/3
Factor 3*m**3/4 - 45*m**2/2 + 189*m - 294.
3*(m - 14)**2*(m - 2)/4
Determine d, given that -2*d**5 + 24*d**4 + 84*d**3 + 88*d**2 + 30*d = 0.
-1, 0, 15
Factor -5*w**3 - 50*w**2 + 45*w + 450.
-5*(w - 3)*(w + 3)*(w + 10)
What is a in -9*a**3 + 354*a**2 + 1401*a + 774 = 0?
-3, -2/3, 43
Factor -4*g**2 + 1472*g - 135424.
-4*(g - 184)**2
Factor 2*n**2 - 14*n.
2*n*(n - 7)
Factor 2*o**4 + 115*o**3 - 2375*o**2/8 + 375*o/2.
o*(o + 60)*(4*o - 5)**2/8
Find c such that 262*c**2/9 - 512*c/9 - 8/3 = 0.
-6/131, 2
Determine q so that 4*q**4/3 + 24*q**3 + 108*q**2 - 448*q/3 - 1280 = 0.
-8, -5, 3
Factor 4*j**2/5 + 44*j - 240.
4*(j - 5)*(j + 60)/5
Factor -5*z**3 + 16195*z**2/2 + 4050*z.
-5*z*(z - 1620)*(2*z + 1)/2
Factor 2*r**4/9 - 2*r**3 + 20*r**2/3 - 88*r/9 + 16/3.
2*(r - 3)*(r - 2)**3/9
Determine j, given that -4*j**4 - 2616*j**3 - 443124*j**2 - 5038416*j - 14837904 = 0.
-321, -6
Find g such that -2*g**3 - 174*g**2 - 1518*g + 1694 = 0.
-77, -11, 1
Factor -5*j**2 - 155*j - 540.
-5*(j + 4)*(j + 27)
Determine l, given that 5*l**2 + 90*l + 280 = 0.
-14, -4
Determine r so that -2*r**4 - 94*r**3/9 - 74*r**2/9 + 50*r/3 + 4 = 0.
-3, -2/9, 1
Factor 2*h**2/7 + 268*h/7 + 8978/7.
2*(h + 67)**2/7
Let -2*b**2/5 + 28*b/5 - 98/5 = 0. What is b?
7
Factor 5*d**3 - 1225*d**2 - 6250*d.
5*d*(d - 250)*(d + 5)
Determine n so that 4*n**5/9 - 544*n**4/9 + 4168*n**3/9 - 9280*n**2/9 + 8212*n/9 - 2560/9 = 0.
1, 5, 128
Let -3*h**2 + 3447*h - 3444 = 0. Calculate h.
1, 1148
Factor -4*n**3 - 420*n**2 - 11232*n - 10816.
-4*(n + 1)*(n + 52)**2
Factor 52*a**4 - 128*a**3 - 108*a**2 + 72*a.
4*a*(a - 3)*(a + 1)*(13*a - 6)
Factor 3*y**4 - 15*y**3 + 24*y**2 - 12*y.
3*y*(y - 2)**2*(y - 1)
Find r, given that -2*r**2/9 + 1864*r/9 - 434312/9 = 0.
466
Suppose -h**3/3 + 47*h**2 + 142*h/3 = 0. What is h?
-1, 0, 142
Factor 3*l**2 - 55*l + 18.
(l - 18)*(3*l - 1)
Factor 4*z**4 - 24*z**3 + 37*z**2 - 21*z + 4.
(z - 4)*(z - 1)*(2*z - 1)**2
Let -5*m**2 + 5 = 0. What is m?
-1, 1
Determine r so that -4*r**4 + 1512*r**3 - 139828*r**2 - 577584*r - 583696 = 0.
-2, 191
Find g such that 2*g**3/9 + 20*g**2/3 + 166*g/9 + 12 = 0.
-27, -2, -1
Factor -l**4/4 + 2*l**3.
-l**3*(l - 8)/4
Factor 3*f**3 - 15*f**2 + 12*f.
3*f*(f - 4)*(f - 1)
Factor -2*g**3 - 302*g**2 - 288*g + 1800.
-2*(g - 2)*(g + 3)*(g + 150)
Factor 3*t**2/7 - 192*t/7 - 1035/7.
3*(t - 69)*(t + 5)/7
Factor 54*p**4 - 15066*p**3 + 15030*p**2 - 5006*p + 556.
2*(p - 278)*(3*p - 1)**3
Factor a**3/3 - a**2/3 - 5*a/3 - 1.
(a - 3)*(a + 1)**2/3
Suppose -a**2/3 - 44*a = 0. What is a?
-132, 0
Find f, given that -2*f**2/7 - 32*f/7 - 18 = 0.
-9, -7
Solve 4*u**2 - 1248*u + 3708 = 0.
3, 309
What is y in 5*y**5 + 1080*y**4 - 10*y**3 - 2160*y**2 + 5*y + 1080 = 0?
-216, -1, 1
Factor l**2/4 - 3*l + 27/4.
(l - 9)*(l - 3)/4
Suppose 3*y**2 + 12*y - 15 = 0. Calculate y.
-5, 1
Determine w so that w**5/2 - w**4 - 6*w**3 + 9*w**2 + 27*w/2 = 0.
-3, -1, 0, 3
Factor 14*j**3/13 + 2580*j**2/13 + 119232*j/13 + 33856/13.
2*(j + 92)**2*(7*j + 2)/13
Suppose 5*d**3 - 10*d**2 - 5*d + 10 = 0. What is d?
-1, 1, 2
Factor p**2 - 72*p + 1296.
(p - 36)**2
Factor s**2/7 + 226*s/7 + 12769/7.
(s + 113)**2/7
What is h in -h**4 + 117*h**3 - 344*h**2 + 228*h = 0?
0, 1, 2, 114
Find z such that 5*z**3 + 185*z**2 + 1830*z + 3960 = 0.
-22, -12, -3
Factor i**5 + i**4 - 2*i**3 - 2*i**2 + i + 1.
(i - 1)**2*(i + 1)**3
Factor -2*a**2 + 5444*a - 3704642.
-2*(a - 1361)**2
Factor -2*a**2/15 - 506*a/15.
-2*a*(a + 253)/15
Solve 2*j**3 - 66*j**2 + 726*j - 2662 = 0.
11
Factor j**2 - 61*j - 62.
(j - 62)*(j + 1)
Factor -2*z**2/5 - 26*z/5 - 44/5.
-2*(z + 2)*(z + 11)/5
Factor -d**2/4 - 67*d/2.
-d*(d + 134)/4
Let 15*b**4 - 190*b**3 + 525*b**2 + 330*b - 400 = 0. Calculate b.
-1, 2/3, 5, 8
Factor -b**2 - 80*b + 1104.
-(b - 12)*(b + 92)
Determine b, given that 2*b**4/5 - 968*b**3/5 + 116156*b**2/5 + 235224*b/5 + 118098/5 = 0.
-1, 243
Determine t so that -2*t**5 - 136*t**4 + 718*t**3 - 876*t**2 = 0.
-73, 0, 2, 3
Suppose 4*y**2 - 12*y = 0. What is y?
0, 3
Suppose -3*h**2/7 - 303*h/7 - 300/7 = 0. What is h?
-100, -1
Solve 3*g**4 - 51*g**3 + 93*g**2 - 45*g = 0.
0, 1, 15
Suppose 4*b**5 - 129*b**4 + 392*b**3 - 442*b**2 + 204*b - 29 = 0. Calculate b.
1/4, 1, 29
Suppose 3*i**2 + 705*i = 0. What is i?
-235, 0
What is u in 35*u**5 - 185*u**4 + 225*u**3 + 125*u**2 - 260*u + 60 = 0?
-1, 2/7, 1, 2, 3
Factor 6*k**4 + 9*k**3 - 96*k**2 - 144*k.
3*k*(k - 4)*(k + 4)*(2*k + 3)
Suppose 5*r**2 - 1930*r - 3880 = 0. What is r?
-2, 388
Suppose 5*x**3 - 970*x**2 - 975*x = 0. What is x?
-1, 0, 195
Suppose -p**5/4 - 5*p**4/8 + p**3 + 17*p**2/8 + 3*p/4 = 0. Calculate p.
-3, -1, -1/2, 0, 2
Factor 5*m**3 - 2610*m**2 - 5235*m - 2620.
5*(m - 524)*(m + 1)**2
Determine o, given that -2*o**2/13 + 1340*o/13 + 1342/13 = 0.
-1, 671
Solve -3*n**4 - 66*n**3 - 207*n**2 + 1716*n - 2028 = 0.
-13, 2
Factor 3*h**4 + 105*h**3 + 387*h**2 + 471*h + 186.
3*(h + 1)**2*(h + 2)*(h + 31)
Solve -3*x**2/2 + 648*x - 69984 = 0 for x.
216
Suppose z**3/8 - 123*z**2/8 - z/8 + 123/8 = 0. What is z?
-1, 1, 123
Determine y, given that -3*y**2 + 186*y + 189 = 0.
-1, 63
Factor -5*v**4 + 60*v**3 - 205*v**2 + 150*v.
-5*v*(v - 6)*(v - 5)*(v - 1)
Factor -8*g**3 - 572*g**2 - 284*g.
-4*g*(g + 71)*(2*g + 1)
Suppose 3*l**5 + 45*l**4/2 + 51*l**3 + 69*l**2/2 - 9*l - 12 = 0. What is l?
-4, -2, -1, 1/2
Solve -q**3/10 - 2*q**2 + 21*q/10 = 0.
-21, 0, 1
Let 8*s**2 - 100*s/3 + 16/3 = 0. Calculate s.
1/6, 4
Determine t, given that 35*t**2 + 30*t - 5 = 0.
-1, 1/7
Factor 6*i**3/5 + 4*i**2/5 - 2*i/5.
2*i*(i + 1)*(3*i - 1)/5
Factor z**5 + z**4 - 14*z**3 + 26*z**2 - 19*z + 5.
(z - 1)**4*(z + 5)
Factor 4*s**2/3 + 1588*s/3.
4*s*(s + 397)/3
Factor 26*h**3/9 - 22*h**2/9 - 56*h/9 - 8/9.
2*(h - 2)*(h + 1)*(13*h + 2)/9
Find y such that y**5 - 2*y**4 - y**3 + 2*y**2 = 0.
-1, 0, 1, 2
Suppose -r**5 - 177*r**4/5 - 302*r**3 + 1044*r**2/5 + 648*r/5 = 0. Calculate r.
-18, -2/5, 0, 1
Factor -2*z**3/9 - 58*z**2/3 - 430*z - 3698/9.
-2*(z + 1)*(z + 43)**2/9
Factor 6*v**5 - 258*v**4 + 5283*v**3/2 + 2838*v**2 + 726*v.
3*v*(v - 22)**2*(2*v + 1)**2/2
Suppose 5*p**2 + 2680*p + 359120 = 0. What is p?
-268
Find d such that 59858*d**2/5 - 8304*d/5 + 288/5 = 0.
12/173
Factor 4*w**3 - 20*w**2 + 24*w.
4*w*(w - 3)*(w - 2)
Factor 2*r**2/9 + 68*r/9.
2*r*(r + 34)/9
Factor -28*i**2 + 776*i + 224.
-4*(i - 28)*(7*i + 2)
Solve -3*j**4/5 - 513*j**3/5 - 5787*j**2/5 - 10047*j/5 - 954 = 0.
-159, -10, -1
Factor 3780*r**3 - 2565*r**2 + 450*r - 5.
5*(3*r - 1)**2*(84*r - 1)
Factor -2*d**3 + 16*d**2 + 18*d.
-2*d*(d - 9)*(d + 1)
Let -j**4 - 25*j**3 - 66*j**2 = 0. What is j?
-22, -3, 0
Let 4*o**5/7 + 132*o**4/7 - 8*o**3/7 - 264*o**2/7 + 4*o/7 + 132/7 = 0. What is o?
-33, -1, 1
What is b in 4*b**3 + 66*b**2 - 135*b/4 + 17/4 = 0?
-17, 1/4
Factor -125*i**3/6 - 3400*i**2/3 - 46240*i/3.
-5*i*(5*i + 136)**2/6
Factor 4*j**3/3 - 29*j**2/3 + 12*j + 15.
(j - 5)*(j - 3)*(4*j + 3)/3
Factor 19*m**4/10 + 18*m**3/5 + 3*m**2/2 - m/5.
m*(m + 1)**2*(19*m - 2)/10
Determine c so that -2*c**4/11 + 236*c**3/11 - 9360*c**2/11 + 127764*c/11 - 118638/11 = 0.
1, 39
Factor -2*d**4 - 590*d**3 - 10188*d**2 - 60264*d - 119664.
-2*(d + 6)**3*(d + 277)
Factor -3*n**3/7 + 78*n**2/7 - 360*n/7.
-3*n*(n - 20)*(n - 6)/7
Factor z**2/2 + 1519*z/8 - 95/