*s**2 + 11550*s + 11250 = 0?
-75, -1
Factor 3*c**4 - 78*c**3 - 165*c**2 - 84*c.
3*c*(c - 28)*(c + 1)**2
Factor 2*i**3/11 - 774*i**2/11 + 99846*i/11 - 4293378/11.
2*(i - 129)**3/11
Factor 4*h**4 - 4*h**3 - 60*h**2 - 92*h - 40.
4*(h - 5)*(h + 1)**2*(h + 2)
What is p in 4*p**4 - 380*p**3 - 384*p**2 = 0?
-1, 0, 96
Determine a, given that a**3 - 39*a**2 - a + 39 = 0.
-1, 1, 39
Factor 3*a**2 - 27*a - 30.
3*(a - 10)*(a + 1)
What is q in -3*q**2 - 84*q - 156 = 0?
-26, -2
Factor 3*h**3/2 + 13*h**2/2 + 17*h/2 + 7/2.
(h + 1)**2*(3*h + 7)/2
Factor -4*d**4 - 328*d**3 - 6032*d**2 + 28552*d - 22188.
-4*(d - 3)*(d - 1)*(d + 43)**2
Factor -2*j**2/7 - 1902*j/7 + 272.
-2*(j - 1)*(j + 952)/7
Factor -8*v**2/3 + 724*v/3 + 364/3.
-4*(v - 91)*(2*v + 1)/3
Factor 2*a**2/17 - 1372*a/17.
2*a*(a - 686)/17
Determine k, given that 2*k**2/11 + 210*k/11 + 412/11 = 0.
-103, -2
Factor -a**3/5 - 123*a**2/5 + 1036*a/5 - 1572/5.
-(a - 6)*(a - 2)*(a + 131)/5
Factor 5*q**3 - 510*q**2 + 985*q + 1500.
5*(q - 100)*(q - 3)*(q + 1)
Find j such that -2*j**5 - 8*j**4 + 24*j**3 - 4*j**2 - 22*j + 12 = 0.
-6, -1, 1
Find n, given that 2*n**4 - 34*n**3 + 140*n**2 = 0.
0, 7, 10
Factor -3*w**5 + 1416*w**4 - 230016*w**3 + 13949952*w**2 - 181874688*w + 674267136.
-3*(w - 152)**3*(w - 8)**2
Suppose -z**4 - 32*z**3 - 256*z**2 = 0. What is z?
-16, 0
Factor -2*q**3/3 + 22*q**2/3 - 56*q/3.
-2*q*(q - 7)*(q - 4)/3
Factor -4*s**5 + 56*s**4 + 124*s**3 + 64*s**2.
-4*s**2*(s - 16)*(s + 1)**2
Determine a so that a**5 + 14*a**4 + 36*a**3 + 34*a**2 + 11*a = 0.
-11, -1, 0
Solve -7*p**4/5 + 943*p**3/5 - 32091*p**2/5 + 22177*p/5 + 8978/5 = 0 for p.
-2/7, 1, 67
Let x**2/4 - 13*x - 53/4 = 0. Calculate x.
-1, 53
Solve 26*x**4 - 28*x**3 - 24*x**2 + 28*x - 2 = 0.
-1, 1/13, 1
Solve 2*t**2/11 + 18*t/11 = 0.
-9, 0
Determine w so that -5*w**5 + 35*w**4 + 85*w**3 + 45*w**2 = 0.
-1, 0, 9
Let -30*a**4 + 95*a**3 + 10*a**2 - 75*a = 0. What is a?
-5/6, 0, 1, 3
Solve 3*f**2/5 - 19*f/5 + 6/5 = 0.
1/3, 6
Let 3*q**3/4 - 21*q**2/2 + 153*q/4 - 81/2 = 0. Calculate q.
2, 3, 9
Factor -3*l**4 - 1785*l**3 + 5373*l**2 - 5379*l + 1794.
-3*(l - 1)**3*(l + 598)
Factor -a**2 + 10*a.
-a*(a - 10)
Find f such that -4*f**4 - 188*f**3 + 860*f**2 + 2268*f + 1224 = 0.
-51, -1, 6
Factor -5*d**3 + 750*d**2.
-5*d**2*(d - 150)
Suppose -5*p**4 + 95*p**3 - 250*p**2 + 160*p = 0. Calculate p.
0, 1, 2, 16
Determine x so that -2*x**2/5 - 92*x/5 + 624/5 = 0.
-52, 6
Suppose -y**2/4 - y/2 + 15/4 = 0. What is y?
-5, 3
Let -4*q**3 - 8*q**2 = 0. Calculate q.
-2, 0
Factor 2*f**2/11 - 112*f/11.
2*f*(f - 56)/11
What is v in -v**4/4 - 25*v**3/2 - 24*v**2 = 0?
-48, -2, 0
Factor 4*b**4 - 164*b**3 - 520*b**2 - 352*b.
4*b*(b - 44)*(b + 1)*(b + 2)
Factor 2*m**4 - 4*m**3 + 4*m - 2.
2*(m - 1)**3*(m + 1)
Factor 3*g**2/8 + 21*g/4 + 9.
3*(g + 2)*(g + 12)/8
Factor 21*a**2/5 + 2442*a/5 + 696/5.
3*(a + 116)*(7*a + 2)/5
Let 5*t**5 + 45*t**4 - 5*t**3 - 45*t**2 = 0. Calculate t.
-9, -1, 0, 1
Factor z**4 + 49*z**3 + 575*z**2 - 625*z.
z*(z - 1)*(z + 25)**2
Let k**2/2 - 236*k = 0. What is k?
0, 472
Factor 2*o**4/13 - 40*o**3/13 + 264*o**2/13 - 640*o/13 + 512/13.
2*(o - 8)**2*(o - 2)**2/13
Solve 121*k**5 + 198*k**4 - 1415*k**3 - 960*k**2 + 484*k - 48 = 0.
-4, -1, 2/11, 3
Suppose -2*j**3 + 78*j + 140 = 0. What is j?
-5, -2, 7
Factor -3*b**4 - 147*b**3 - 1872*b**2 - 1728*b.
-3*b*(b + 1)*(b + 24)**2
Factor -2*m**2/7 - 962*m/7.
-2*m*(m + 481)/7
Factor -5*p**3 + 440*p**2 - 4025*p + 9750.
-5*(p - 78)*(p - 5)**2
Let -4*x**2/7 - 5240*x - 12012700 = 0. Calculate x.
-4585
Factor 2*t**2/3 - 24*t + 256/3.
2*(t - 32)*(t - 4)/3
Factor -3*o**3/2 + 39*o**2/2 + 231*o/2 - 3267/2.
-3*(o - 11)**2*(o + 9)/2
Find d, given that 5*d**5/4 - 105*d**4/4 + 245*d**3/2 = 0.
0, 7, 14
Solve -6*y**3/11 - 84*y**2/11 + 294*y/11 - 204/11 = 0.
-17, 1, 2
Find u such that 3*u**5/7 - 36*u**4/7 - 36*u**3/7 + 642*u**2/7 + 1233*u/7 + 594/7 = 0.
-3, -1, 6, 11
Determine h, given that 2*h**3 - 50*h**2 + 92*h = 0.
0, 2, 23
Factor 2*s**2/9 + 326*s/9 - 328/9.
2*(s - 1)*(s + 164)/9
Factor -z**3 + 2001*z**2 - 1334667*z + 296740963.
-(z - 667)**3
Factor 14*g**3 - 38*g**2 + 34*g - 10.
2*(g - 1)**2*(7*g - 5)
Factor -2*l**4/9 + 4*l**3 + 88*l**2/3 + 560*l/9 + 128/3.
-2*(l - 24)*(l + 2)**3/9
Determine b so that -2*b**5/9 - 4*b**4/3 + 32*b**3/3 - 148*b**2/9 + 22*b/3 = 0.
-11, 0, 1, 3
Factor n**4 + 2*n**3 - 4*n**2 - 8*n.
n*(n - 2)*(n + 2)**2
Find k such that -2*k**4/5 + 4*k**3/5 + 14*k**2/5 - 16*k/5 - 24/5 = 0.
-2, -1, 2, 3
Factor v**5 - 7*v**4 + 8*v**3 + 16*v**2.
v**2*(v - 4)**2*(v + 1)
Factor 5*m**2 - 25*m - 30.
5*(m - 6)*(m + 1)
Factor -y**3 + 24*y**2 + 139*y + 174.
-(y - 29)*(y + 2)*(y + 3)
Suppose -t**5/2 - 45*t**4/2 - 264*t**3 - 242*t**2 = 0. What is t?
-22, -1, 0
Factor -3*a**3 - 39*a**2 - 96*a - 60.
-3*(a + 1)*(a + 2)*(a + 10)
Suppose 3*d**2 - 117*d - 120 = 0. What is d?
-1, 40
Let -3*v**2/5 + 33*v/5 + 36/5 = 0. Calculate v.
-1, 12
Let 14*o**4/15 - 38*o**3/15 + 16*o**2/15 + 8*o/15 = 0. What is o?
-2/7, 0, 1, 2
Factor -4*u**2/3 + 4*u/3 + 40.
-4*(u - 6)*(u + 5)/3
Let 2*u**3/7 + 86*u**2/7 + 916*u/7 + 832/7 = 0. What is u?
-26, -16, -1
Factor 4*a**2 + 760*a + 36100.
4*(a + 95)**2
Determine n, given that n**2/5 + 307*n/5 - 308/5 = 0.
-308, 1
Find j, given that -3*j**2/5 - 117*j/5 + 24 = 0.
-40, 1
Factor 2*l**3 + 10*l**2 - 28*l.
2*l*(l - 2)*(l + 7)
Factor t**3/5 - 63*t**2/10 + 48*t + 128/5.
(t - 16)**2*(2*t + 1)/10
Factor 5*g**3 + 380*g**2 + 6825*g - 15210.
5*(g - 2)*(g + 39)**2
Solve -i**2/4 - 2491*i/2 - 6205081/4 = 0 for i.
-2491
Let -o**4/10 + o**3/5 + 11*o**2/10 - 6*o/5 - 18/5 = 0. What is o?
-2, 3
Factor 3*p**2 - 228*p + 225.
3*(p - 75)*(p - 1)
Factor -g**2/2 - 425*g/2 + 858.
-(g - 4)*(g + 429)/2
What is x in 5*x**2/3 + 35*x - 1760/3 = 0?
-32, 11
Solve q**2 + 1161*q + 1160 = 0 for q.
-1160, -1
Factor 5*g**2/2 + 957*g/2 + 191.
(g + 191)*(5*g + 2)/2
Factor -2*p**2/7 + 4*p/7 + 96/7.
-2*(p - 8)*(p + 6)/7
Solve 5*r**5 - 315*r**4 + 4470*r**3 + 15350*r**2 + 16005*r + 5445 = 0.
-1, 33
Factor t**3/9 - 43*t**2/9 + 296*t/9 + 340/9.
(t - 34)*(t - 10)*(t + 1)/9
Factor -4*g**3 + 54*g**2 + 198*g.
-2*g*(g + 3)*(2*g - 33)
What is g in 2*g**3/11 - 32*g**2/11 + 54*g/11 + 504/11 = 0?
-3, 7, 12
Let -a**4/6 + 157*a**3/6 + 574*a**2/3 = 0. Calculate a.
-7, 0, 164
Factor 2*x**3/5 + 78*x**2/5 - 2*x/5 - 78/5.
2*(x - 1)*(x + 1)*(x + 39)/5
Find t such that 50*t**3 - 240*t**2 + 168*t - 32 = 0.
2/5, 4
Factor s**4/4 - 7*s**3/4 + s**2/4 + 27*s/4 + 9/2.
(s - 6)*(s - 3)*(s + 1)**2/4
Solve 32*b**2/3 - 112*b/3 + 98/3 = 0.
7/4
Solve 4*a**2/7 + 104*a/7 + 676/7 = 0.
-13
Factor -4*r**4 + 292*r**3 + 2540*r**2 + 4188*r + 1944.
-4*(r - 81)*(r + 1)**2*(r + 6)
Find o, given that -33*o**2 - 40*o - 12 = 0.
-2/3, -6/11
What is z in 747003*z**2 + 5988*z + 12 = 0?
-2/499
What is w in -2*w**5 + 2*w**4 + 22*w**3 + 14*w**2 - 20*w - 16 = 0?
-2, -1, 1, 4
Factor 2*v**3/5 - 202*v**2/5 - 1712*v/5 - 3488/5.
2*(v - 109)*(v + 4)**2/5
Factor 3*s**4/7 + 36*s**3/7 - 768*s/7.
3*s*(s - 4)*(s + 8)**2/7
Factor -d**2/3 + 1636*d/3 - 669124/3.
-(d - 818)**2/3
Solve -a**3/4 + 7*a**2/4 - 2*a - 4 = 0 for a.
-1, 4
What is q in q**3 - 6*q**2 + 11*q - 6 = 0?
1, 2, 3
Factor 2*r**3/13 - 150*r/13 + 500/13.
2*(r - 5)**2*(r + 10)/13
Let 3*j**5/7 + 3*j**4/7 - 6*j**3 - 18*j**2/7 + 135*j/7 - 81/7 = 0. Calculate j.
-3, 1, 3
Let u**3/3 - 5*u**2/3 + 4*u/3 = 0. What is u?
0, 1, 4
Factor -5*n**4 + 65*n**3 - 165*n**2 + 155*n - 50.
-5*(n - 10)*(n - 1)**3
Solve -2*c**5/11 - 124*c**4/11 + 4*c**3/11 + 248*c**2/11 - 2*c/11 - 124/11 = 0 for c.
-62, -1, 1
Factor 3*g**5 - 1689*g**4 + 1677*g**3 + 5073*g**2 - 8436*g + 3372.
3*(g - 562)*(g - 1)**3*(g + 2)
Factor 3*t**3 - 5202*t**2 + 3006756*t - 579301656.
3*(t - 578)**3
Factor o**2/5 - 37*o/5 + 60.
(o - 25)*(o - 12)/5
Factor -2*g**3/19 + 6*g**2/19 + 36*g/19.
-2*g*(g - 6)*(g + 3)/19
Factor 3*s**2 - 4110*s + 1407675.
3*(s - 685)**2
Factor 3*y**2 - 18*y - 48.
3*(y - 8)*(y + 2)
Solve 2*j**3/3 - 20*j**2 + 394*j/3 + 152 = 0 for j.
-1, 12, 19
Suppose 2*b**3/15 + 238*b**2/5 + 474*b/5 + 142/3 = 0. Calculate b.
-355, -1
Factor 2*s**3 - 36*s**2 - 42*s + 76.
2*(s - 19)*(s - 1)*(s + 2)
Let 2*r**5/3 + 26*r**4/3 + 82*r**3/3 + 94*r**2/3 + 12*r = 0. Calculate r.
-9, -2, -1, 0
Factor 3*i**4 + 273*i**3 - 276*i**2.
3*i**2*(i - 1)*(i + 92)
Find x such that -55*x**3 + 10*x**2 + 55*x - 10 = 0.
-1, 2/11, 1
Facto