 + 1)**2*(3*u - 2)
What is k in -5*k**2 - 25*k - 30 = 0?
-3, -2
Factor 14*r**3 - 52*r**2 - 16*r.
2*r*(r - 4)*(7*r + 2)
What is r in -4*r**4 + 8*r**3 + 12*r**2 - 16*r - 16 = 0?
-1, 2
Factor 8*g**5 - 28*g**4 + 16*g**3 + 16*g**2.
4*g**2*(g - 2)**2*(2*g + 1)
Factor -6*m**2/5 - 146*m/5 - 48/5.
-2*(m + 24)*(3*m + 1)/5
Find b, given that 3*b**3 + 28*b**2/3 + b = 0.
-3, -1/9, 0
What is a in 4*a**5 + 28*a**4 - 8*a**3 - 56*a**2 + 4*a + 28 = 0?
-7, -1, 1
Suppose 2*f**2/11 + 434*f/11 + 2120/11 = 0. Calculate f.
-212, -5
Factor -x**4/2 + x**3 + 3*x**2/2.
-x**2*(x - 3)*(x + 1)/2
Find a such that 5*a**3 - 25*a**2 + 35*a - 15 = 0.
1, 3
Solve i**2 + 15*i = 0.
-15, 0
Determine x, given that -11*x**2 + 39*x - 18 = 0.
6/11, 3
Solve -k**2/2 - 237*k/2 - 235 = 0 for k.
-235, -2
Factor -2*a**2/11 - 24028*a/11 - 72168098/11.
-2*(a + 6007)**2/11
Factor -51076*w**2/7 - 99440*w/7 - 48400/7.
-4*(113*w + 110)**2/7
Solve 4*u**4 - 136*u**3 - 140*u**2 = 0 for u.
-1, 0, 35
Solve -5*k**3 - 155*k**2 - 795*k - 1125 = 0 for k.
-25, -3
Solve 3*b**3 - 26*b**2 + 15*b + 8 = 0 for b.
-1/3, 1, 8
Solve -2*o**4/9 + 22*o**3/9 + 8*o**2/3 = 0.
-1, 0, 12
Suppose -2*k**2 - 46*k = 0. What is k?
-23, 0
Find u such that -3*u**5 + 3*u**4 + 18*u**3 = 0.
-2, 0, 3
Factor 5*p**2 - 33500*p + 56112500.
5*(p - 3350)**2
Factor -o**5/2 + 2*o**3 + o**2 - 3*o/2 - 1.
-(o - 2)*(o - 1)*(o + 1)**3/2
Solve -4*j**3 + 8*j**2 + 256*j + 640 = 0.
-4, 10
Solve -p**5/2 - 57*p**4/2 - 659*p**3/2 + 4313*p**2/2 - 3720*p + 1922 = 0.
-31, 1, 2
Let -2*q**4 + 20*q**3 - 74*q**2 + 120*q - 72 = 0. Calculate q.
2, 3
Suppose -2*h**3/5 + 2*h**2/5 + 12*h - 144/5 = 0. Calculate h.
-6, 3, 4
Factor -3*o**3 - 693*o**2 - 40365*o - 39675.
-3*(o + 1)*(o + 115)**2
Suppose -2*i**5/17 - 220*i**4/17 - 6266*i**3/17 - 11880*i**2/17 - 5832*i/17 = 0. Calculate i.
-54, -1, 0
Factor -i**2 - 2*i.
-i*(i + 2)
Factor 10*f**3 + 324*f**2 - 202*f - 132.
2*(f - 1)*(f + 33)*(5*f + 2)
What is s in -12*s**3 - 92*s**2 - 112*s + 48 = 0?
-6, -2, 1/3
Suppose 2*y**5 + 20*y**4 - 152*y**3 - 20*y**2 + 150*y = 0. What is y?
-15, -1, 0, 1, 5
Factor 4*h**3 - 556*h**2 + 1100*h - 548.
4*(h - 137)*(h - 1)**2
Suppose -3*i**3/2 + 7*i**2 - 10*i + 4 = 0. Calculate i.
2/3, 2
Factor 2*r**3/7 - 5412*r**2/7 + 3655800*r/7 + 7333264/7.
2*(r - 1354)**2*(r + 2)/7
What is r in -3*r**2/4 + 9*r/2 + 21/4 = 0?
-1, 7
Solve 2*l**2/7 + 342*l/7 + 340/7 = 0.
-170, -1
Factor -2*f**4 - 22*f**3 - 36*f**2 + 216*f + 432.
-2*(f - 3)*(f + 2)*(f + 6)**2
Factor d**3/2 - 20*d**2 + 39*d/2.
d*(d - 39)*(d - 1)/2
Factor -2*m**2/11 - 62*m/11 - 60/11.
-2*(m + 1)*(m + 30)/11
Determine q so that -3*q**4/8 - 213*q**3/8 + 333*q**2/4 - 3*q/2 - 111 = 0.
-74, -1, 2
Factor -2*s**2 - 294*s - 580.
-2*(s + 2)*(s + 145)
Suppose -k**2/5 - 2664*k/5 - 1774224/5 = 0. Calculate k.
-1332
Suppose -w**5/7 - 2*w**4 - 3*w**3 + 44*w**2/7 + 100*w/7 + 48/7 = 0. Calculate w.
-12, -2, -1, 2
Solve -588*d**3 - 1064*d**2 + 656*d/3 - 32/3 = 0.
-2, 2/21
Factor -k**4/2 - k**3 + k**2/2 + k.
-k*(k - 1)*(k + 1)*(k + 2)/2
Factor 3*o**2/8 + 69*o/2 - 279/8.
3*(o - 1)*(o + 93)/8
Factor -k**5 + 8*k**4 + 72*k**3 + 158*k**2 + 137*k + 42.
-(k - 14)*(k + 1)**3*(k + 3)
Find n such that -3*n**4/5 - 72*n**3/5 - 429*n**2/5 + 72*n/5 + 432/5 = 0.
-12, -1, 1
Suppose t**2/6 - 25*t/6 - 9 = 0. Calculate t.
-2, 27
Factor w**3/3 - 331*w**2/3 + 8493*w + 107217.
(w - 171)**2*(w + 11)/3
Suppose -2*k**4/7 + 106*k**3/7 - 104*k**2/7 = 0. Calculate k.
0, 1, 52
Find g such that -g**3/5 + 7*g**2/5 + 41*g/5 + 33/5 = 0.
-3, -1, 11
Factor -2*z**3/9 + 350*z**2/9 - 1376*z/9 + 152.
-2*(z - 171)*(z - 2)**2/9
Suppose j**3 + 144*j**2 + 4884*j - 21904 = 0. Calculate j.
-74, 4
Factor 22*g**2/5 + 16*g/5 - 6/5.
2*(g + 1)*(11*g - 3)/5
Factor -d**4/3 + 31*d**3/3 - 59*d**2/3 + 29*d/3.
-d*(d - 29)*(d - 1)**2/3
Determine r, given that -4*r**5 - 44*r**4 - 192*r**3 - 416*r**2 - 448*r - 192 = 0.
-3, -2
Factor 10*n**2 - 124*n - 78.
2*(n - 13)*(5*n + 3)
Factor -5*a**2/3 + 68470*a/3 - 234407045/3.
-5*(a - 6847)**2/3
Factor d**5 + 5*d**4 + 8*d**3 + 4*d**2.
d**2*(d + 1)*(d + 2)**2
Factor 5*z**2/4 + 1375*z/4 + 685/2.
5*(z + 1)*(z + 274)/4
Factor -75*i**2 - 30*i - 3.
-3*(5*i + 1)**2
Factor 5*f**4 - 210*f**3 - 2220*f**2 - 3950*f + 6375.
5*(f - 51)*(f - 1)*(f + 5)**2
Suppose 4*n**3/7 - 304*n**2/7 + 5776*n/7 = 0. What is n?
0, 38
Factor 2*t**2/3 + 70*t/3 + 200.
2*(t + 15)*(t + 20)/3
Determine h so that -2*h**2/7 + 384*h/7 - 760/7 = 0.
2, 190
Factor -h**2/3 + 3796*h/3 - 3602404/3.
-(h - 1898)**2/3
Factor 4*d**4 + 120*d**3 + 1024*d**2 + 2184*d - 3332.
4*(d - 1)*(d + 7)**2*(d + 17)
Find m, given that -5*m**4 - 165*m**3 - 1300*m**2 - 1980*m = 0.
-22, -9, -2, 0
Factor -w**3/4 + 2*w**2 + 35*w - 300.
-(w - 10)**2*(w + 12)/4
Factor t**4/5 + 7*t**3/5 - 13*t**2/5 - 43*t/5 - 24/5.
(t - 3)*(t + 1)**2*(t + 8)/5
What is n in -2*n**3 - 14*n**2 + 320*n + 2600 = 0?
-10, 13
Factor -75*w**5 - 1740*w**4 + 1428*w**3 - 288*w**2.
-3*w**2*(w + 24)*(5*w - 2)**2
Factor -b**2/4 - 4407*b/4.
-b*(b + 4407)/4
Solve -g**2/3 + 35*g/3 - 22 = 0.
2, 33
Factor 4*a**5 + 36*a**4 + 108*a**3 + 108*a**2.
4*a**2*(a + 3)**3
Factor n**4 + 14*n**3 + 61*n**2 + 84*n + 36.
(n + 1)**2*(n + 6)**2
Solve -4*t**4 - 4184*t**3 - 1098292*t**2 - 2184048*t - 1089936 = 0.
-522, -1
Solve 4*s**4 - 36*s**3 - 208*s**2 = 0.
-4, 0, 13
Let -10*i**4/11 + 14*i**3/11 + 2*i**2/11 - 6*i/11 = 0. Calculate i.
-3/5, 0, 1
Factor 28*i**3 + 120*i**2 + 116*i + 24.
4*(i + 1)*(i + 3)*(7*i + 2)
What is f in 20*f**4 + 15*f**3 - 45*f**2 + 10*f = 0?
-2, 0, 1/4, 1
Factor 2*l**2/7 + 510*l/7 + 1012/7.
2*(l + 2)*(l + 253)/7
Determine a so that -6*a**2/7 - 156*a/7 - 150/7 = 0.
-25, -1
Solve 124*q**3 + 232*q**2 - 404*q + 48 = 0 for q.
-3, 4/31, 1
Suppose -30*s**3 - 125*s**2 - 140*s - 20 = 0. What is s?
-2, -1/6
Find v such that 2*v**5/17 + 6*v**4/17 + 6*v**3/17 + 2*v**2/17 = 0.
-1, 0
Find u, given that 4*u**4 + 80*u**3 + 312*u**2 + 144*u - 540 = 0.
-15, -3, 1
Factor -15*j**3 - 35*j**2 + 20.
-5*(j + 1)*(j + 2)*(3*j - 2)
Factor -268*z**2 - 12*z.
-4*z*(67*z + 3)
Find b such that -3*b**4 - 3*b**3 + 3*b**2 + 3*b = 0.
-1, 0, 1
Factor 3*y**3/8 + 3*y**2/2 - 3*y/8 - 3/2.
3*(y - 1)*(y + 1)*(y + 4)/8
Suppose 4*t**5/3 - 180*t**4 - 1112*t**3 - 6736*t**2/3 - 1504*t = 0. Calculate t.
-2, 0, 141
Factor c**3/4 + 18*c**2 - 75*c/4 - 73/2.
(c - 2)*(c + 1)*(c + 73)/4
Suppose 2*d**4/11 - 14*d**3/11 - 76*d**2/11 + 480*d/11 = 0. What is d?
-6, 0, 5, 8
What is i in 2*i**5 - 22*i**4 + 18*i**3 + 22*i**2 - 20*i = 0?
-1, 0, 1, 10
Factor 4*f**3/7 + 264*f**2/7 + 4080*f/7 - 9248/7.
4*(f - 2)*(f + 34)**2/7
Find g, given that 3*g**4 - 798*g**3 - 4860*g**2 - 9768*g - 6528 = 0.
-2, 272
Factor -l**5/4 - 21*l**4/4 - 113*l**3/4 - 223*l**2/4 - 93*l/2 - 14.
-(l + 1)**3*(l + 4)*(l + 14)/4
Factor -3*m**2/8 - 663*m/4 + 1329/8.
-3*(m - 1)*(m + 443)/8
Find t, given that -2*t**2/9 - 2054*t/9 = 0.
-1027, 0
Determine h so that -21*h**4 - 120*h**3 + 36*h**2 = 0.
-6, 0, 2/7
What is h in 3*h**3/5 - 51*h**2/5 - 174*h/5 - 24 = 0?
-2, -1, 20
Determine m, given that 3*m**2 - 81*m - 5664 = 0.
-32, 59
Suppose 3*f**3/2 - 123*f**2/2 + 528*f + 2178 = 0. What is f?
-3, 22
Factor 3*h**2 + 15*h - 18.
3*(h - 1)*(h + 6)
Solve 3*w**2/7 - 315*w = 0 for w.
0, 735
Find c, given that -2*c**2/13 - 1532*c/13 - 293378/13 = 0.
-383
Suppose -4*u**2 + 1920*u + 1924 = 0. What is u?
-1, 481
Suppose m**5 + 124*m**4 + 5166*m**3 + 73964*m**2 + 68921*m = 0. What is m?
-41, -1, 0
Let -2*o**2/7 + 582*o/7 + 3564/7 = 0. What is o?
-6, 297
Let -m**3 - 14*m**2 + 15*m = 0. What is m?
-15, 0, 1
Factor 2*n**3/7 - 48*n**2/7 + 288*n/7.
2*n*(n - 12)**2/7
Find r, given that -3*r**5/4 + 9*r**3/4 - 3*r**2/2 = 0.
-2, 0, 1
Let -m**2/3 + 179*m/3 - 178/3 = 0. Calculate m.
1, 178
Factor -3*n**3 + 1173*n**2 - 114072*n - 115248.
-3*(n - 196)**2*(n + 1)
Find w, given that -3*w**5 + 28*w**4 + 101*w**3 - 858*w**2 - 1568*w - 640 = 0.
-5, -1, -2/3, 8
Suppose 15*z**5 - 99*z**4 - 177*z**3 + 51*z**2 + 162*z + 48 = 0. Calculate z.
-1, -2/5, 1, 8
Let -3*y**5/7 + 759*y**4/7 + 1539*y**3/7 - 2295*y**2/7 = 0. Calculate y.
-3, 0, 1, 255
Solve -5*d**2 + 1980*d - 196020 = 0.
198
Suppose 5*n**3 + 800*n**2 + 32000*n = 0. Calculate n.
-80, 0
Factor -4*j**2 - 34*j - 16.
-2*(j + 8)*(2*j + 1)
Suppose -3*a**5/2 + 3*a**4/2 + 9*a**3/2 - 15*a**2/2 + 3*a = 0. What is a?
-2, 0, 1
Solve -6*u**3/5 + 278*u**2/5 + 38*u - 94/5 =