-2*c**3 - 66*c**2 - 126*c - 62 = 0. What is c?
-31, -1
Factor l**4/8 + 25*l**3/8 + 171*l**2/8 + 315*l/8.
l*(l + 3)*(l + 7)*(l + 15)/8
Let -15*l**4 - 66*l**3 + 396*l**2 - 312*l - 192 = 0. What is l?
-8, -2/5, 2
Factor 2*m**2/13 + 132*m/13 + 2178/13.
2*(m + 33)**2/13
Suppose -2738*p**2/5 - 3552*p/5 - 1152/5 = 0. Calculate p.
-24/37
Factor -2*i**3 + 48*i**2 - 334*i + 624.
-2*(i - 13)*(i - 8)*(i - 3)
Determine k so that 3*k**2/4 - 237*k/4 + 231/2 = 0.
2, 77
Factor -t**4/7 - 25*t**3/7 + 81*t**2/7 - 83*t/7 + 4.
-(t - 1)**3*(t + 28)/7
Suppose -3*g**2/5 + 18*g - 168/5 = 0. What is g?
2, 28
Factor 2*t**4/5 - 24*t**3/5 - 54*t**2/5 - 28*t/5.
2*t*(t - 14)*(t + 1)**2/5
Suppose -3*l**4/8 + 11*l**3/4 + 47*l**2/8 - 9*l/4 = 0. What is l?
-2, 0, 1/3, 9
Let 2*v**3 - 260*v**2 - 2176*v - 4416 = 0. Calculate v.
-4, 138
Factor -2*f**2/7 + 32/7.
-2*(f - 4)*(f + 4)/7
Factor -i**3/4 - 31*i**2/4 - 255*i/4 - 225/4.
-(i + 1)*(i + 15)**2/4
Determine o so that 4*o**4 - 28*o**3 - 336*o**2 - 752*o - 448 = 0.
-4, -2, -1, 14
Suppose -3*j**2 + 111*j - 108 = 0. Calculate j.
1, 36
Suppose 3*v**2 + 2319*v + 2316 = 0. What is v?
-772, -1
Factor -3*w**2 - 21*w - 30.
-3*(w + 2)*(w + 5)
Find d, given that d**2 + 134*d + 645 = 0.
-129, -5
Factor -16*k**4 + 228*k**3 + 177*k**2 + 179*k/4 + 15/4.
-(k - 15)*(4*k + 1)**3/4
Factor -2*i**5 + 4*i**4 - 4*i**2 + 2*i.
-2*i*(i - 1)**3*(i + 1)
Determine y so that -5*y**4 - 50*y**3 - 60*y**2 + 450*y + 945 = 0.
-7, -3, 3
Determine w, given that 2*w**3/7 - 6*w**2/7 - 2*w/7 + 6/7 = 0.
-1, 1, 3
Find g such that g**5/4 + 7*g**4/2 + 9*g**3 + 17*g**2/2 + 11*g/4 = 0.
-11, -1, 0
Find n such that -2*n**2 - 30*n - 28 = 0.
-14, -1
Suppose 3*k**5/2 + 9*k**4 - 21*k**3/2 - 90*k**2 = 0. Calculate k.
-5, -4, 0, 3
Factor o**3/6 + 23*o**2/6 + 40*o/3 + 38/3.
(o + 2)**2*(o + 19)/6
Suppose -29*c**4/2 + 173*c**3/6 + 89*c**2/6 - 173*c/6 - 1/3 = 0. Calculate c.
-1, -1/87, 1, 2
Factor 12*j**3/5 + 93*j**2/5 + 222*j/5 + 168/5.
3*(j + 2)*(j + 4)*(4*j + 7)/5
Let -30*n**4 - 57*n**3 - 24*n**2 + 3*n = 0. What is n?
-1, 0, 1/10
Factor 3*b**2 - 1740*b + 252300.
3*(b - 290)**2
Factor z**3/5 + 18*z**2/5 + 41*z/5 - 12.
(z - 1)*(z + 4)*(z + 15)/5
Factor 2*y**2 - 800*y + 80000.
2*(y - 200)**2
Factor -4*w**2 + 36*w + 40.
-4*(w - 10)*(w + 1)
Factor -4*m**2 - 76*m + 80.
-4*(m - 1)*(m + 20)
Factor 3*y**2 - 231*y - 720.
3*(y - 80)*(y + 3)
Solve b**2 - 41*b + 40 = 0 for b.
1, 40
Solve 2*o**5/7 - 22*o**4/7 - 50*o**3/7 - 26*o**2/7 = 0.
-1, 0, 13
Suppose -l**2/8 - 147*l/8 - 423/4 = 0. Calculate l.
-141, -6
Let -2*g**2/7 - 790*g/7 + 792/7 = 0. What is g?
-396, 1
What is y in 4*y**5/3 - 8*y**4/3 - 120*y**3 + 800*y**2/3 + 4676*y/3 + 1176 = 0?
-9, -2, -1, 7
Find i, given that -4*i**2 + 304*i - 5292 = 0.
27, 49
Factor -2*k**3/5 - 94*k**2/5 + 96*k/5.
-2*k*(k - 1)*(k + 48)/5
Suppose 21*j**3/2 + 513*j**2/2 + 1620*j + 648 = 0. Calculate j.
-12, -3/7
Find g such that -3*g**4/7 - 3*g**3 - 33*g**2/7 + 3*g + 36/7 = 0.
-4, -3, -1, 1
Let 2*g**2/7 + 16*g/7 - 18/7 = 0. What is g?
-9, 1
Factor 8*c**5 + 116*c**4 - 375*c**3/2 + 72*c**2.
c**2*(c + 16)*(4*c - 3)**2/2
Factor -2*v**5/17 - 74*v**4/17 - 496*v**3/17 - 928*v**2/17.
-2*v**2*(v + 4)**2*(v + 29)/17
Let f**3/11 + 16*f**2/11 + 48*f/11 = 0. What is f?
-12, -4, 0
Factor -i**2/5 - 2*i/5 + 8/5.
-(i - 2)*(i + 4)/5
Factor -8*t**3 - 17*t**2 - 10*t - 1.
-(t + 1)**2*(8*t + 1)
Factor -2*q**2 + 352*q - 350.
-2*(q - 175)*(q - 1)
Factor 21*s**5 + 48*s**4 + 33*s**3 + 6*s**2.
3*s**2*(s + 1)**2*(7*s + 2)
Factor -3*h**4 - 1224*h**3 - 165222*h**2 - 7207296*h + 23142177.
-3*(h - 3)*(h + 137)**3
Solve -q**3 - 49*q**2 + 325*q - 275 = 0.
-55, 1, 5
Factor 2*r**2/3 + 40*r/3 + 34.
2*(r + 3)*(r + 17)/3
Solve -2*o**2/9 + 38*o/9 - 20 = 0 for o.
9, 10
Let 14*q**3 - 76*q**2/3 - 352*q/3 - 64/3 = 0. What is q?
-2, -4/21, 4
Factor -3*t**4/5 - 2*t**3/5 + 7*t**2/5 - 2*t/5.
-t*(t - 1)*(t + 2)*(3*t - 1)/5
Factor 2*y**2/11 + 692*y/11.
2*y*(y + 346)/11
Factor -2*n**4 + 38*n**3 - 128*n**2 + 120*n.
-2*n*(n - 15)*(n - 2)**2
Determine j so that 75*j**4 + 585*j**3/7 + 3*j**2 - 45*j/7 - 6/7 = 0.
-1, -1/5, 2/7
Determine m so that -m**4/5 + 2*m**3/5 + 43*m**2/5 + 8*m = 0.
-5, -1, 0, 8
Find g such that -2*g**5/7 - 6*g**4/7 + 2*g**3/7 + 22*g**2/7 + 24*g/7 + 8/7 = 0.
-2, -1, 2
Factor 2*s**4/9 + 22*s**3/9 + 16*s**2/3 - 8*s.
2*s*(s - 1)*(s + 6)**2/9
Solve s**2/6 + 7*s/3 + 13/6 = 0.
-13, -1
Factor -5*b**2 + 30*b + 200.
-5*(b - 10)*(b + 4)
Let -4*s**4/9 - 368*s**3/9 - 9460*s**2/9 - 14792*s/3 = 0. What is s?
-43, -6, 0
Find i, given that 2*i**3 - 156*i**2 - 666*i + 820 = 0.
-5, 1, 82
Determine t so that -8*t**3 + 5974*t**2 + 25526*t + 6008 = 0.
-4, -1/4, 751
Solve -2*t**2/3 - 3936*t - 5809536 = 0 for t.
-2952
Factor -4*v**2 + 92*v - 304.
-4*(v - 19)*(v - 4)
Determine i so that -21*i**2 - 72*i + 93 = 0.
-31/7, 1
Factor u**2/7 - 202*u/7 + 10201/7.
(u - 101)**2/7
Factor -v**3/7 + 181*v**2/7 + 184*v/7 - 52.
-(v - 182)*(v - 1)*(v + 2)/7
Solve -3*k**3/4 + 5*k**2 + 9*k/4 - 7/2 = 0 for k.
-1, 2/3, 7
Suppose -5*g**3 + 275*g**2 = 0. Calculate g.
0, 55
Factor -18*x**3/23 + 390*x**2/23 + 544*x/23 + 8.
-2*(x - 23)*(3*x + 2)**2/23
Factor k**2/2 + 117*k/2 + 58.
(k + 1)*(k + 116)/2
Factor 3*x**2 - 1203*x + 1200.
3*(x - 400)*(x - 1)
Suppose 5*q**4 - 125*q**3/4 + 105*q**2/2 - 125*q/4 + 5 = 0. What is q?
1/4, 1, 4
Determine v, given that 3*v**3 + 153*v**2 + 837*v + 1215 = 0.
-45, -3
Find t such that t**3 + 4*t**2 + 3*t = 0.
-3, -1, 0
Find b such that -b**4/4 + 22*b**3 - 388*b**2 - 4224*b - 9216 = 0.
-4, 48
Find x, given that -3*x**4 + 24*x**3 + 147*x**2 - 780*x - 900 = 0.
-6, -1, 5, 10
Suppose -5*t**3/11 + 789*t**2/11 + 2573*t/11 + 483/11 = 0. Calculate t.
-3, -1/5, 161
Factor -12*m**3/5 + 4*m**2/5 + 8*m - 32/5.
-4*(m - 1)*(m + 2)*(3*m - 4)/5
Find j such that -j**2 + 2*j + 24 = 0.
-4, 6
Suppose -2*d**4 - 124*d**3 - 2042*d**2 - 3720*d - 1800 = 0. Calculate d.
-30, -1
Suppose u**4 - 7*u**3/2 - 14*u**2 - 6*u = 0. What is u?
-2, -1/2, 0, 6
Determine r so that 4*r**5/3 + 37*r**4/3 + 31*r**3 + 97*r**2/3 + 43*r/3 + 2 = 0.
-6, -1, -1/4
Determine q, given that 3*q**5 + 9*q**4 + 6*q**3 - 6*q**2 - 9*q - 3 = 0.
-1, 1
Find o such that -15*o**3 + 1235*o**2 - 400*o - 820 = 0.
-2/3, 1, 82
Factor 8*c**3/17 - 830*c**2/17 + 21424*c/17 + 5408/17.
2*(c - 52)**2*(4*c + 1)/17
Let -4*p**3/7 - 21036*p**2/7 - 36876108*p/7 - 21547939108/7 = 0. What is p?
-1753
Factor 145*u**2 + 130*u - 15.
5*(u + 1)*(29*u - 3)
Factor 3*v**3 + 279*v**2 + 6345*v - 6627.
3*(v - 1)*(v + 47)**2
Factor -10*i**3 - 65*i**2 + 335*i - 150.
-5*(i - 3)*(i + 10)*(2*i - 1)
Factor -10*j**3/7 + 506*j**2/7 + 204*j/7.
-2*j*(j - 51)*(5*j + 2)/7
Find c, given that -c**4 - 2*c**3 + 11*c**2 + 12*c - 36 = 0.
-3, 2
Factor -3*l**2 - 105*l - 102.
-3*(l + 1)*(l + 34)
Factor 2*h**3 - 26*h**2/3 + 8*h.
2*h*(h - 3)*(3*h - 4)/3
Find r, given that 5*r**5/4 + 623*r**4/4 - 1515*r**3/4 + 1141*r**2/4 - 127*r/2 = 0.
-127, 0, 2/5, 1
Factor -5*w**2/3 + 2*w - 1/3.
-(w - 1)*(5*w - 1)/3
Factor -o**3/9 + 19*o**2/9 - 88*o/9.
-o*(o - 11)*(o - 8)/9
Suppose 3*a**3 - 39*a**2 - 42*a = 0. Calculate a.
-1, 0, 14
Factor 3*o**3/7 - 1089*o**2/7 + 4320*o/7 - 4308/7.
3*(o - 359)*(o - 2)**2/7
Factor 4*b**4/5 + 16*b**3/5 - 232*b**2/5 - 496*b/5 - 252/5.
4*(b - 7)*(b + 1)**2*(b + 9)/5
Factor 2*x**3 - 978*x**2 + 119070*x + 120050.
2*(x - 245)**2*(x + 1)
Factor 2*z**3/7 + 78*z**2/7 - 8*z/7 - 312/7.
2*(z - 2)*(z + 2)*(z + 39)/7
Find m such that -2*m**2/5 - 12*m/5 - 16/5 = 0.
-4, -2
Let 2*v**4/3 - 58*v**3/3 - 62*v**2/3 + 58*v/3 + 20 = 0. What is v?
-1, 1, 30
Factor f**2 + 50*f + 49.
(f + 1)*(f + 49)
Factor 5*l**3 - 10*l**2 - 15*l.
5*l*(l - 3)*(l + 1)
Determine r, given that -4*r**5/3 - 68*r**4/3 - 40*r**3 + 8*r**2/3 + 124*r/3 + 20 = 0.
-15, -1, 1
Factor -3*n**2/4 + 231*n/4 - 270.
-3*(n - 72)*(n - 5)/4
Determine d so that 25*d**5 + 830*d**4 + 5924*d**3 - 5144*d**2 + 1056*d = 0.
-22, -12, 0, 2/5
Find p, given that -2*p**3 + 58*p**2 - 52*p - 112 = 0.
-1, 2, 28
Factor n**2/7 - 222*n/7 - 223/7.
(n - 223)*(n + 1)/7
Factor -4*z**3 + 268*z**2 - 1008*z.
-4*z*(z - 63)*(z - 4)
Factor -b**4/3 + 23*b**3/3 + 199*b**2/3 + 325*b/3 + 50.
-(b - 30)*(b + 1)**2*(b + 5)/3
Factor s**2 + 32*s - 33.
(s - 1)*(s + 33)
Let 4*c**2/7 - 500*c/7 - 1016/7 = 0. What is c?
-2, 127
Factor -2*c**4/7 + 16*c**3/7 - 26*c**2/7 + 12*c/7.
-2*c*(c - 6)*(c - 1)**2/7
What is p in 2*