, -2, -1/2
What is q in -q**3 - 13*q**2 - 34*q + 48 = 0?
-8, -6, 1
Factor -10*o**3 - 166*o**2 - 92*o + 64.
-2*(o + 1)*(o + 16)*(5*o - 2)
Find v, given that 14*v**4/3 + 10*v**3/3 - 244*v**2 - 2032*v/3 + 640/3 = 0.
-5, -4, 2/7, 8
Factor -15*z**3 - 102*z**2 - 147*z - 60.
-3*(z + 1)*(z + 5)*(5*z + 4)
Determine b, given that 4*b**2 + 3680*b + 846400 = 0.
-460
Determine t so that -t**5/4 + 13*t**4/4 - 33*t**3/4 - 85*t**2/4 + 101*t/2 + 60 = 0.
-2, -1, 3, 5, 8
Factor j**4/3 - 25*j**3/3 + 56*j**2 - 48*j.
j*(j - 12)**2*(j - 1)/3
Factor -l**2 + 201*l.
-l*(l - 201)
Suppose p**2 - 44*p + 195 = 0. Calculate p.
5, 39
What is d in -5*d**2 + 100*d - 95 = 0?
1, 19
Factor 3*o**2 - 18*o + 15.
3*(o - 5)*(o - 1)
Determine f, given that -2*f**3 - 110*f**2/3 - 32*f/3 + 24 = 0.
-18, -1, 2/3
Let -5*n**4 + 85*n**3 + 90*n**2 = 0. Calculate n.
-1, 0, 18
Find m such that -14*m**5 - 136*m**4/3 - 26*m**3 + 104*m**2/3 + 40*m + 32/3 = 0.
-2, -1, -2/3, -4/7, 1
Suppose 4*x**4/7 + 108*x**3/7 - 12*x**2/7 - 316*x/7 + 216/7 = 0. Calculate x.
-27, -2, 1
What is u in u**4/3 - 296*u**3/3 + 7399*u**2 - 14406*u = 0?
0, 2, 147
Let 4*s**4 + 3912*s**3 + 956484*s**2 = 0. Calculate s.
-489, 0
Factor -4*o**3 + 388*o**2 - 9212*o - 9604.
-4*(o - 49)**2*(o + 1)
Factor 3*x**2 + 222*x - 225.
3*(x - 1)*(x + 75)
Find d, given that -4*d**5 - 52*d**4 - 44*d**3 + 52*d**2 + 48*d = 0.
-12, -1, 0, 1
Find p, given that -5*p**2 + 190*p + 400 = 0.
-2, 40
Determine y so that -2*y**5/7 - 16*y**4/7 + 12*y**3/7 + 80*y**2/7 - 122*y/7 + 48/7 = 0.
-8, -3, 1
Factor -2*z**3 + 30*z**2 + 416*z + 384.
-2*(z - 24)*(z + 1)*(z + 8)
Determine m so that m**4 - m**3 - 9*m**2 - 11*m - 4 = 0.
-1, 4
Solve q**3/4 + 506*q**2 = 0 for q.
-2024, 0
Factor -12*a**4 - 1372*a**3 + 920*a**2.
-4*a**2*(a + 115)*(3*a - 2)
Suppose -3*r**2 - 7*r + 110 = 0. What is r?
-22/3, 5
Factor 3*s**3 + 183*s**2 + 822*s - 1008.
3*(s - 1)*(s + 6)*(s + 56)
What is i in 4*i**2 - 2568*i + 412164 = 0?
321
Solve -3*p**3/2 - 33*p**2/2 - 27*p = 0.
-9, -2, 0
Factor -2*u**2/21 + 62*u/21 - 72/7.
-2*(u - 27)*(u - 4)/21
Factor 2*l**2 - 456*l + 25992.
2*(l - 114)**2
Let g**3/9 + 7*g**2/9 + 2*g/3 = 0. Calculate g.
-6, -1, 0
Suppose o**2/4 - 373*o + 1491/4 = 0. What is o?
1, 1491
Let -2*y**4/5 - 4*y**3/5 + 2*y**2/5 + 4*y/5 = 0. Calculate y.
-2, -1, 0, 1
Solve 2*u**5/5 - 2*u**3 + 8*u/5 = 0 for u.
-2, -1, 0, 1, 2
Factor -5*a**5 - 25*a**4 - 30*a**3 + 20*a**2 + 40*a.
-5*a*(a - 1)*(a + 2)**3
Factor 3*v**3 - 30*v**2 + 87*v - 60.
3*(v - 5)*(v - 4)*(v - 1)
What is v in -5*v**4 + 45*v**3 + 125*v**2 - 165*v = 0?
-3, 0, 1, 11
Factor -3*m**3/7 + 114*m**2/7 - 219*m/7 + 108/7.
-3*(m - 36)*(m - 1)**2/7
Factor 2*k**4/5 - 24*k**3/5 - 54*k**2/5 - 28*k/5.
2*k*(k - 14)*(k + 1)**2/5
Solve -2*q**4/13 - 16*q**3/13 + 56*q**2/13 + 160*q/13 = 0 for q.
-10, -2, 0, 4
Find h, given that -h**5/2 + 5*h**4/2 + h**3 - 21*h**2 + 63*h/2 - 27/2 = 0.
-3, 1, 3
Solve 12*m**4/5 - 316*m**3/5 + 104*m**2/5 = 0.
0, 1/3, 26
What is p in -2*p**2 - 612*p - 1216 = 0?
-304, -2
What is r in -3*r**5/4 - 29*r**4/4 - 9*r**3/4 + 81*r**2/4 - r - 9 = 0?
-9, -2, -2/3, 1
Suppose 3*s**3 - 63*s**2 + 4116 = 0. What is s?
-7, 14
What is p in -3*p**5/8 + 3*p**4 + 15*p**3/2 = 0?
-2, 0, 10
Determine p so that p**3/3 + 13*p**2 + 110*p/3 + 24 = 0.
-36, -2, -1
Solve l**4 - 2*l**3 + l**2 = 0.
0, 1
Suppose 4*k**5 + 28*k**4 + 68*k**3 + 68*k**2 + 24*k = 0. What is k?
-3, -2, -1, 0
Determine i so that i**2/2 - 17*i/2 = 0.
0, 17
Let 9*j**5/2 - 201*j**4/2 - 3035*j**3/2 - 5111*j**2/2 + 11913*j = 0. What is j?
-19/3, 0, 2, 33
Solve 2*s**5 + 10*s**4 + 6*s**3 - 10*s**2 - 8*s = 0.
-4, -1, 0, 1
Factor -m**4/5 + 2*m**3 - 19*m**2/5 - 6*m.
-m*(m - 6)*(m - 5)*(m + 1)/5
Factor -4*w**2 - 324*w + 328.
-4*(w - 1)*(w + 82)
Determine o so that -3*o**3 + 108*o**2 - 897*o = 0.
0, 13, 23
Suppose -2*b**4 + 8*b**3 + 6*b**2 - 20*b - 16 = 0. What is b?
-1, 2, 4
Let 15*w**3/4 - 369*w**2/4 - 240*w - 81 = 0. What is w?
-2, -2/5, 27
Factor 8*l**3 - 38*l**2 - 58*l - 12.
2*(l - 6)*(l + 1)*(4*l + 1)
Let 22*v**3/9 - 488*v**2/9 - 418*v/9 + 92/9 = 0. What is v?
-1, 2/11, 23
Factor -15*u**3 + 6*u**2 + 60*u - 24.
-3*(u - 2)*(u + 2)*(5*u - 2)
Solve 5*r**3 + 15*r**2 - 50*r - 120 = 0.
-4, -2, 3
Factor -3*z**3/4 - 41*z**2/8 - 53*z/8 + 5/4.
-(z + 2)*(z + 5)*(6*z - 1)/8
Suppose 405*w**4 - 720*w**3 + 185*w**2 + 170*w - 40 = 0. What is w?
-4/9, 2/9, 1
Suppose v**2/8 + v/8 - 861/4 = 0. Calculate v.
-42, 41
Factor 2*f**3 + 9*f**2 - 24*f + 13.
(f - 1)**2*(2*f + 13)
Factor -2*s**4/3 - 4*s**3/3 + 16*s**2/3.
-2*s**2*(s - 2)*(s + 4)/3
Factor 302*h**2 + 304*h + 2.
2*(h + 1)*(151*h + 1)
Factor 2*h**2/9 - 8*h.
2*h*(h - 36)/9
Solve 5*o**5/3 - 55*o**4/3 - 145*o**3/3 + 65*o**2 = 0.
-3, 0, 1, 13
Find c, given that -2*c**5/3 + 88*c**4/3 - 292*c**3 - 2024*c**2/3 - 1058*c/3 = 0.
-1, 0, 23
Factor m**3/4 + 29*m**2 + 669*m/4 + 495/2.
(m + 3)**2*(m + 110)/4
Let p**5/4 - 3*p**4/4 + p**2 = 0. Calculate p.
-1, 0, 2
Solve 87*n**2/8 - 93*n/8 + 3/4 = 0 for n.
2/29, 1
Factor d**5/2 - 6*d**4 + 16*d**3 + 8*d**2 - 72*d + 64.
(d - 8)*(d - 2)**3*(d + 2)/2
Factor -2645*j**4 + 6095*j**3 + 5200*j**2 + 960*j.
-5*j*(j - 3)*(23*j + 8)**2
Find j such that -5*j**5 + 200*j**4 - 535*j**3 - 740*j**2 = 0.
-1, 0, 4, 37
Determine k so that 2*k**4/9 + 28*k**3/9 + 38*k**2/3 + 8*k - 24 = 0.
-6, -3, 1
What is h in 5*h**4 - 1510*h**3 - 3035*h**2 - 1520*h = 0?
-1, 0, 304
Factor 5*g**2 + 60*g + 180.
5*(g + 6)**2
Factor 20*k**4 + 515*k**3 - 130*k**2.
5*k**2*(k + 26)*(4*k - 1)
Factor 2*a**3/7 - 54*a**2/7 - 116*a/7.
2*a*(a - 29)*(a + 2)/7
Find h such that -7*h**3 + 66*h**2 + 276*h/7 + 40/7 = 0.
-2/7, 10
Factor 2*h**4/5 + 14*h**3 + 576*h**2/5 - 648*h/5.
2*h*(h - 1)*(h + 18)**2/5
Let 3*o**2/4 + 111*o/4 - 57/2 = 0. What is o?
-38, 1
Factor d**5/7 + 4*d**4/7 - 3*d**3/7 - 2*d**2 - 8*d/7.
d*(d - 2)*(d + 1)**2*(d + 4)/7
Find i such that -6*i**5 - 28*i**4 - 40*i**3 - 16*i**2 = 0.
-2, -2/3, 0
Let -4*u**3 - 280*u**2 + 572*u - 288 = 0. What is u?
-72, 1
Suppose -44*v**3 - 8*v**2 = 0. Calculate v.
-2/11, 0
Factor -21*o**3 - 972*o**2 + 711*o + 282.
-3*(o - 1)*(o + 47)*(7*o + 2)
Find r such that -r**5/2 + 11*r**4 - 10*r**3 - 11*r**2 + 21*r/2 = 0.
-1, 0, 1, 21
Factor 4*m**2 + 44*m - 504.
4*(m - 7)*(m + 18)
Suppose -638450*y**5 + 1267860*y**4 + 18048*y**3 + 64*y**2 = 0. What is y?
-4/565, 0, 2
Factor -10*o**2 - 379*o + 38.
-(o + 38)*(10*o - 1)
Factor 3*d**4 + 42*d**3 + 144*d**2 - 42*d - 147.
3*(d - 1)*(d + 1)*(d + 7)**2
Solve -2*l**2/15 - 2*l/15 + 4/15 = 0 for l.
-2, 1
Suppose -3*j**3/2 - 153*j**2/2 - 642*j + 720 = 0. Calculate j.
-40, -12, 1
What is u in -22*u**5 - 84*u**4 - 94*u**3 - 24*u**2 + 8*u = 0?
-2, -1, 0, 2/11
Find l, given that -4*l**4/5 + 16*l**3/5 - 4*l**2 + 8*l/5 = 0.
0, 1, 2
Factor c**2 + 161*c.
c*(c + 161)
Suppose -w**5/4 + 133*w**4/4 - 1186*w**3 + 5377*w**2 - 8320*w + 4096 = 0. What is w?
1, 2, 64
Determine q so that 4*q**5 + 76*q**4 + 124*q**3 - 220*q**2 - 256*q + 272 = 0.
-17, -2, 1
Factor 7*u**4 + 16*u**3 + 11*u**2 + 2*u.
u*(u + 1)**2*(7*u + 2)
Factor -a**2/3 + 73*a/3 - 340/3.
-(a - 68)*(a - 5)/3
Factor 2*z**3/3 + 8*z**2 - 40*z - 1600/3.
2*(z - 8)*(z + 10)**2/3
Determine g, given that 225*g**2 - 223*g - 2 = 0.
-2/225, 1
Solve -2*b**5 - 20*b**4 - 46*b**3 + 20*b**2 + 48*b = 0.
-6, -4, -1, 0, 1
Let 4*v**2 + 212*v - 216 = 0. Calculate v.
-54, 1
Factor q**5/4 - 189*q**4/4 - 1179*q**3/2 - 5373*q**2/2 - 21627*q/4 - 16281/4.
(q - 201)*(q + 3)**4/4
Factor 3*i**2 + 579*i + 576.
3*(i + 1)*(i + 192)
Factor m**2/5 + 2001*m/5 - 2002/5.
(m - 1)*(m + 2002)/5
Factor 5*o**4 - 85*o**3 - 320*o**2 + 400*o.
5*o*(o - 20)*(o - 1)*(o + 4)
Determine w, given that 2*w**4/19 + 64*w**3/19 + 60*w**2/19 - 64*w/19 - 62/19 = 0.
-31, -1, 1
Factor -t**4 + 19*t**3 - 17*t**2 - 19*t + 18.
-(t - 18)*(t - 1)**2*(t + 1)
Factor -j**2/5 - 104*j - 1036/5.
-(j + 2)*(j + 518)/5
Factor 4*w**4 - 1048*w**3 + 65428*w**2 + 421296*w + 646416.
4*(w - 134)**2*(w + 3)**2
Find r, given that r**2/11 - 31*r/11 + 168/11 = 0.
7, 24
Factor 2*x**2/7 + 110*x/7 - 228/7.
2*(x - 2)*(x + 57)/7
What is l in -2*l**2/5 + 68*l/5 + 144/5 = 0?
-2, 36
Factor -2*w**3/7 - 74*w**2/7 + 2*w/7 + 74/7.
-2*(w - 1)*(w + 1)*(w + 37)/7
What is i in -75*i**3/7 - 24540*i**2/7 + 19668*i/7 - 3936/7 = 0?
-328, 2/5
Find q, given that 5*q**5 + 40*q**4 + 115*q**3 + 140*q**2 + 60*q = 0.
-3, -2, -1, 0
Factor 2*n**2 + 16*n + 32.