-4, 0, 1/5, 2
Let -2*b**5/5 - 6*b**4/5 + 6*b**3/5 + 14*b**2/5 - 12*b/5 = 0. What is b?
-3, -2, 0, 1
Factor -3*t**2/2 - 15*t/2 + 9.
-3*(t - 1)*(t + 6)/2
Suppose j**3 + 156*j**2 + 5760*j - 25600 = 0. Calculate j.
-80, 4
Find s, given that -72*s**5/7 + 30*s**4 - 32*s**3 + 108*s**2/7 - 24*s/7 + 2/7 = 0.
1/4, 1/3, 1
Solve -2*d**2/3 + 10*d = 0.
0, 15
Determine o, given that -o**4/4 + 55*o**3/4 - 98*o**2 + 188*o = 0.
0, 4, 47
Find z, given that -2*z**5/3 + 40*z**4 - 2512*z**3/3 + 20444*z**2/3 - 15162*z + 27436/3 = 0.
1, 2, 19
What is t in 5*t**5 - 120*t**4 + 305*t**3 + 270*t**2 - 1300*t + 840 = 0?
-2, 1, 2, 21
Factor -3*o**4 + 138*o**3 - 1080*o**2.
-3*o**2*(o - 36)*(o - 10)
Find u such that -3*u**2 + 48*u + 51 = 0.
-1, 17
Factor 2*o**3/17 - 30*o**2/17 + 150*o/17 - 250/17.
2*(o - 5)**3/17
Suppose y**2/2 - y/2 - 1 = 0. What is y?
-1, 2
Find m such that -m**5/4 - 4*m**4 - 21*m**3/2 + 19*m**2 + 43*m/4 - 15 = 0.
-12, -5, -1, 1
Factor -2*j**2 + 72*j - 70.
-2*(j - 35)*(j - 1)
Factor x**2/9 - 275*x/9.
x*(x - 275)/9
Determine f, given that -12*f**5 - 9*f**4 + 399*f**3 - 855*f**2 + 189*f = 0.
-7, 0, 1/4, 3
What is c in 2*c**5/13 - 8*c**4/13 - 32*c**3/13 + 44*c**2/13 + 30*c/13 - 36/13 = 0?
-3, -1, 1, 6
Factor -t**2/3 + 20*t/3 - 100/3.
-(t - 10)**2/3
Factor m**3/2 + 55*m**2/2 - 116*m + 118.
(m - 2)**2*(m + 59)/2
Factor 3*l**5 + 3*l**4 - 6*l**3 - 6*l**2 + 3*l + 3.
3*(l - 1)**2*(l + 1)**3
Factor -y**5/10 + 2*y**4 - 16*y**3 + 64*y**2 - 128*y + 512/5.
-(y - 4)**5/10
Let z**4/4 + 912*z**3 + 1665311*z**2/2 + 1662576*z + 3323329/4 = 0. Calculate z.
-1823, -1
What is p in p**4/5 - 7*p**3/5 - 8*p**2/5 + 108*p/5 - 144/5 = 0?
-4, 2, 3, 6
Suppose -5*w**5 + 130*w**4 + 175*w**3 - 1020*w**2 - 1620*w = 0. Calculate w.
-2, 0, 3, 27
Determine u, given that 10*u**4 - 56*u**3/3 - 8*u**2 + 32*u/3 = 0.
-4/5, 0, 2/3, 2
Determine g, given that 5*g**3 - 145*g**2 - 470*g - 320 = 0.
-2, -1, 32
Solve -c**2/2 + c + 15/2 = 0 for c.
-3, 5
Factor -5*u**2 + 5685*u.
-5*u*(u - 1137)
Find b such that 4*b**3 + 44*b**2 + 92*b - 140 = 0.
-7, -5, 1
Factor l**2/2 - 3*l - 55/2.
(l - 11)*(l + 5)/2
Solve 3*y**4/4 - 2*y**3 - 15*y**2/4 + 8*y + 3 = 0.
-2, -1/3, 2, 3
Let -p**3/7 + 2*p**2/7 + 8*p/7 = 0. What is p?
-2, 0, 4
Factor 2*q**3 + 14*q**2 + 12*q.
2*q*(q + 1)*(q + 6)
Determine z so that 3*z**3 - 14*z**2 + 17*z - 6 = 0.
2/3, 1, 3
Factor 3*s**4/8 + 3*s**3/4 - 15*s**2/8 - 9*s/4.
3*s*(s - 2)*(s + 1)*(s + 3)/8
Find t, given that 3*t**2 + 3873*t + 7734 = 0.
-1289, -2
Suppose -15*o**5 + 186*o**4 - 816*o**3 + 1554*o**2 - 1329*o + 420 = 0. What is o?
1, 7/5, 4, 5
Factor -2*r**2 - 268*r - 8978.
-2*(r + 67)**2
Solve -2*q**5 + 12*q**4 + 12*q**3 - 128*q**2 + 54*q + 180 = 0.
-3, -1, 2, 3, 5
Factor -65*w**3/6 - w**2/6.
-w**2*(65*w + 1)/6
Factor -5*y**2 - 60*y - 180.
-5*(y + 6)**2
Factor 4*j**5 + 36*j**4 + 32*j**3.
4*j**3*(j + 1)*(j + 8)
Suppose 2*f**5 + 8*f**4/3 + 2*f**3/3 = 0. What is f?
-1, -1/3, 0
Factor 25*t**4 + 360*t**3 + 1265*t**2 + 450*t.
5*t*(t + 5)*(t + 9)*(5*t + 2)
Let 4*z**3 - 16*z**2 - 4*z + 16 = 0. Calculate z.
-1, 1, 4
Suppose -2*r**3/19 + 696*r**2/19 - 694*r/19 = 0. Calculate r.
0, 1, 347
Find a, given that -6*a**5/5 + 38*a**4/5 - 36*a**3/5 - 28*a**2/5 + 42*a/5 - 2 = 0.
-1, 1/3, 1, 5
Factor -2*j**5/5 + 6*j**4/5 - 4*j**3/5.
-2*j**3*(j - 2)*(j - 1)/5
Factor 4*h**2 - 378*h - 190.
2*(h - 95)*(2*h + 1)
Suppose -2*q**3 + 314*q**2 - 1812*q = 0. Calculate q.
0, 6, 151
Determine n so that -n**3/2 - 12*n**2 + n/2 + 12 = 0.
-24, -1, 1
Solve 2*y**5/7 - 146*y**4/7 + 262*y**3/7 + 1586*y**2/7 - 1632*y/7 - 5112/7 = 0.
-2, 3, 71
Factor 3*j**3 - 165*j**2 + 1317*j + 1485.
3*(j - 45)*(j - 11)*(j + 1)
Suppose p**2 + 6*p = 0. Calculate p.
-6, 0
Factor 10*d**3 - 256*d**2 - 118*d + 364.
2*(d - 26)*(d - 1)*(5*d + 7)
Factor c**4/4 + 1047*c**3/4 + 68382*c**2 - 68644*c.
c*(c - 1)*(c + 524)**2/4
Determine w so that -10*w**4 - 124*w**3 - 498*w**2 - 680*w - 200 = 0.
-5, -2, -2/5
Factor -h**3 + 50*h**2/3 - 224*h/3 + 128/3.
-(h - 8)**2*(3*h - 2)/3
Factor 5*n**2 + 7090*n + 2513405.
5*(n + 709)**2
Solve -28*f**3/11 - 106*f**2/11 - 8*f + 24/11 = 0 for f.
-2, 3/14
Solve -4*k**3 + 348*k**2 - 5292*k - 105644 = 0 for k.
-11, 49
Factor 2*t**4/3 + 2*t**3 - 22*t**2 + 106*t/3 - 16.
2*(t - 3)*(t - 1)**2*(t + 8)/3
Solve -b**5/4 + 25*b**4/2 - 477*b**3/4 + 202*b**2 - 95*b = 0.
0, 1, 10, 38
Solve a**5/4 + 31*a**4/4 + 161*a**3/2 + 312*a**2 + 360*a = 0 for a.
-12, -5, -2, 0
Suppose o**4/4 + 9*o**3/4 + 11*o**2/2 - 8 = 0. What is o?
-4, -2, 1
Solve 2*c**2/7 + 828*c/7 = 0 for c.
-414, 0
Factor -3*s**2/7 - 17436*s/7 - 25334508/7.
-3*(s + 2906)**2/7
Factor 2*v**2/19 - 70*v/19 - 72/19.
2*(v - 36)*(v + 1)/19
Factor -2*z**5/11 + 10*z**4/11 - 16*z**3/11 + 8*z**2/11.
-2*z**2*(z - 2)**2*(z - 1)/11
Factor -n**3/2 - 5*n**2 + n/2 + 5.
-(n - 1)*(n + 1)*(n + 10)/2
Suppose 25*f**4 + 590*f**3 + 4260*f**2 + 9000*f - 4320 = 0. What is f?
-12, -6, 2/5
Determine i so that -4*i**2 + 180*i - 1664 = 0.
13, 32
Determine t so that 7*t**5/4 - 723*t**4/4 + 19127*t**3/4 - 23613*t**2/4 + 2601*t/2 = 0.
0, 2/7, 1, 51
Let 5*t**3 + 75*t**2 + 135*t + 65 = 0. Calculate t.
-13, -1
Factor -u**3 - 2*u**2 + 4*u + 8.
-(u - 2)*(u + 2)**2
Find o, given that -2*o**3 - 80*o**2 + 224*o + 25088 = 0.
-28, 16
Factor 3*h**3 + 87*h**2 - 1026*h.
3*h*(h - 9)*(h + 38)
Factor -2*n**3/21 + 164*n**2/21 + 346*n/7 + 528/7.
-2*(n - 88)*(n + 3)**2/21
Factor -5*o**2 - 165*o - 1080.
-5*(o + 9)*(o + 24)
Suppose 5*h**4 + 85*h**3 + 325*h**2 - 85*h - 330 = 0. What is h?
-11, -6, -1, 1
Factor -2*m**3 + 6*m**2 + 2*m - 6.
-2*(m - 3)*(m - 1)*(m + 1)
Let -3*p**2 + 432*p + 1323 = 0. What is p?
-3, 147
Determine w, given that w**3/4 - w**2/4 - 5*w/2 - 2 = 0.
-2, -1, 4
Find j such that -4*j**3 - 336*j**2 - 1580*j = 0.
-79, -5, 0
Solve l**3/3 + 4*l**2 - 47*l - 152/3 = 0.
-19, -1, 8
Suppose 3*t**5/5 + 3*t**4 + 6*t**3/5 - 24*t**2/5 = 0. What is t?
-4, -2, 0, 1
Find o such that o**4/7 + o**3 - 18*o**2/7 = 0.
-9, 0, 2
Factor 2*w**4 + 5348*w**3 + 3580482*w**2 + 7144928*w + 3569792.
2*(w + 1)**2*(w + 1336)**2
Factor -s**4/3 - 20*s**3/3 - 53*s**2/3 + 170*s/3 - 32.
-(s - 1)**2*(s + 6)*(s + 16)/3
Factor -5*b**4 + 520*b**3 - 1495*b**2 - 2020*b.
-5*b*(b - 101)*(b - 4)*(b + 1)
Solve -2*g**2/7 - 64*g/7 + 370/7 = 0 for g.
-37, 5
Factor 2*q**4/5 - 174*q**3/5 - 534*q**2/5 - 538*q/5 - 36.
2*(q - 90)*(q + 1)**3/5
Factor w**3/3 - 1382*w**2/3 + 473308*w/3 + 963272.
(w - 694)**2*(w + 6)/3
What is p in -2*p**4 + 42*p**3 - 40*p**2 = 0?
0, 1, 20
Factor 2*g**3/7 - 48*g**2/7 + 160*g/7.
2*g*(g - 20)*(g - 4)/7
What is a in -2*a**2 + 344*a - 4134 = 0?
13, 159
Let -4*j**2 - 5440*j - 10864 = 0. Calculate j.
-1358, -2
Solve -5*b**2 + 840*b - 1660 = 0.
2, 166
Let -5*t**4 - 200*t**3 + 855*t**2 - 1090*t + 440 = 0. Calculate t.
-44, 1, 2
Solve -2*g**3/5 + 182*g**2/5 - 356*g/5 = 0.
0, 2, 89
Solve 15*y**5 + 9*y**4 - 51*y**3 + 3*y**2 + 36*y - 12 = 0 for y.
-2, -1, 2/5, 1
Determine p so that p**5/4 + 11*p**4/4 + 39*p**3/4 + 61*p**2/4 + 11*p + 3 = 0.
-6, -2, -1
Determine k so that -2*k**4/13 - 12*k**3/13 + 18*k**2/13 + 28*k/13 = 0.
-7, -1, 0, 2
Solve -3*v**5 + 12*v**4 - 30*v**2 + 3*v + 18 = 0.
-1, 1, 2, 3
Suppose -2*d**5/9 + 38*d**4/9 - 278*d**3/9 + 970*d**2/9 - 1600*d/9 + 1000/9 = 0. Calculate d.
2, 5
Let -2*x**2/5 - 16*x = 0. Calculate x.
-40, 0
Factor -q**4 - 585*q**3 - 84672*q**2 + 259308*q.
-q*(q - 3)*(q + 294)**2
Solve 2*b**4/11 - 62*b**3/11 - 32*b**2 - 288*b/11 = 0.
-4, -1, 0, 36
Determine z so that 5*z**5 + 200*z**4 + 720*z**3 = 0.
-36, -4, 0
Factor -p**2/5 + 4204*p/5 - 4418404/5.
-(p - 2102)**2/5
Find f such that 2*f**4 - 28*f**3 - 66*f**2 + 28*f + 64 = 0.
-2, -1, 1, 16
Solve u**2/3 + 26*u/3 + 16 = 0 for u.
-24, -2
Solve -h**2 - 144*h - 828 = 0 for h.
-138, -6
Factor 5*r**4 + 10*r**3 - 95*r**2 + 140*r - 60.
5*(r - 2)*(r - 1)**2*(r + 6)
Suppose m**2 + 21*m + 54 = 0. Calculate m.
-18, -3
Find x such that -4*x**4 + 16*x**3 + 84*x**2 = 0.
-3, 0, 7
Solve -2*x**4/5 + 38*x**3/5 - 168*x**2/5 = 0 for x.
0, 7, 12
Factor -4*h**5 - 76*h**4 - 408*h**3 + 56*h**2 + 4508*h + 4116.
-4*(h - 3)*(h + 1)*(h + 7)**3
Factor -o**3 + 9*o**2 - 24*o + 20.
-(o - 5)*(o - 2)**2
Factor -2*s**3/5 + 4*s**2/5 + 38*s/5 - 8.
-2*(s - 5)*(s - 1)*(s + 4)/5
Factor -5*q**4 + 105*q**3 - 280*q**2 + 180*q.
-5*q*(q - 18)*(q - 2)*(q - 1)
Suppose o**3/6 - 4*o**2 - 17*o/2 - 13/3 = 0. What is o?
-1, 26