3/49
Factor 2*p**4/11 + 428*p**3/11 + 22466*p**2/11 - 46224*p/11 + 23328/11.
2*(p - 1)**2*(p + 108)**2/11
Factor -4*y**3 - 44*y**2 + 224*y - 240.
-4*(y - 2)**2*(y + 15)
Determine m, given that 5*m**2 + 12770*m + 8153645 = 0.
-1277
Factor -3*n**2 - 189*n + 390.
-3*(n - 2)*(n + 65)
Factor 6*s**3/11 + 26*s**2 - 96*s/11.
2*s*(s + 48)*(3*s - 1)/11
Suppose o**2/6 + 3829*o/6 = 0. What is o?
-3829, 0
Solve 2*v**2 + 36*v = 0 for v.
-18, 0
Let 4*k**3/3 - 1109*k**2 + 230464*k + 173056/3 = 0. What is k?
-1/4, 416
Suppose -b**5 - 179*b**4 - 7919*b**3 + 8279*b**2 + 7920*b - 8100 = 0. Calculate b.
-90, -1, 1
Let -2*n**2/3 + 94*n - 280/3 = 0. Calculate n.
1, 140
Factor -2*x**5/9 + 2*x**4 + 14*x**3/3 - 490*x**2/9.
-2*x**2*(x - 7)**2*(x + 5)/9
What is d in 345*d**2 - 21*d = 0?
0, 7/115
Factor 5*d**2 - 20*d - 25.
5*(d - 5)*(d + 1)
Suppose -3*j**4/7 - 54*j**3/7 + 789*j**2/7 - 1404*j/7 + 96 = 0. Calculate j.
-28, 1, 8
Factor -q**3/2 + 96*q**2 + 194*q.
-q*(q - 194)*(q + 2)/2
Factor 2*s**4 - 12*s**3 - 6*s**2 + 104*s - 120.
2*(s - 5)*(s - 2)**2*(s + 3)
Find v, given that v**5 + 2*v**4/3 - 4*v**3/3 - 2*v**2/3 + v/3 = 0.
-1, 0, 1/3, 1
Determine i, given that -i**5 - 51*i**4 - 815*i**3 - 3413*i**2 + 9480*i - 5200 = 0.
-20, -13, 1
Factor -3*b**3 + 9*b**2 + 12*b.
-3*b*(b - 4)*(b + 1)
Suppose -12*u**5 + 64*u**4 - 104*u**3 + 64*u**2 - 12*u = 0. What is u?
0, 1/3, 1, 3
Solve -v**2/2 - 10*v + 21/2 = 0.
-21, 1
Suppose -2*b**2/9 - 116*b/3 + 704/9 = 0. Calculate b.
-176, 2
Let -3*d**3 + 24*d**2 + 36*d - 432 = 0. What is d?
-4, 6
Solve 4*s**4 - 144*s**3 - 960*s**2 - 1984*s - 1344 = 0 for s.
-2, 42
Let -5*f**5 - 760*f**4 + 4695*f**3 - 7090*f**2 + 3160*f = 0. What is f?
-158, 0, 1, 4
Factor -4*q**4 - 4*q**3 + 60*q**2 - 92*q + 40.
-4*(q - 2)*(q - 1)**2*(q + 5)
Suppose 2*j**2/3 - 184*j/3 - 376/3 = 0. What is j?
-2, 94
Factor -3*q**4 + 9*q**3 - 3*q**2 - 9*q + 6.
-3*(q - 2)*(q - 1)**2*(q + 1)
Determine a, given that 2*a**5 + 110*a**4 + 1290*a**3 - 110*a**2 - 1292*a = 0.
-38, -17, -1, 0, 1
Determine q so that -2*q**2/9 - 4*q/3 - 2 = 0.
-3
Let -720*j**5 - 5160*j**4 + 4915*j**3 + 925*j**2 + 40*j = 0. Calculate j.
-8, -1/12, 0, 1
What is j in 8*j**5/5 + 168*j**4/5 - 758*j**3/5 + 1032*j**2/5 - 90*j = 0?
-25, 0, 1, 3/2
What is a in 2*a**4/5 + 8*a**3/5 + 12*a**2/5 + 8*a/5 + 2/5 = 0?
-1
Factor 4*d**5 + 24*d**4 + 44*d**3 + 24*d**2.
4*d**2*(d + 1)*(d + 2)*(d + 3)
Find h such that 2*h**2/7 + 666*h/7 - 668/7 = 0.
-334, 1
Factor -5*x**3 - 100*x**2 + 460*x - 480.
-5*(x - 2)**2*(x + 24)
Factor 3*m**2/4 + 1389*m.
3*m*(m + 1852)/4
Factor -5*k**4 + 165*k**3 + 345*k**2 + 175*k.
-5*k*(k - 35)*(k + 1)**2
Factor -i**2/5 - 6*i/5 - 9/5.
-(i + 3)**2/5
What is w in w**4/5 - 20*w**3 + 2292*w**2/5 + 2080*w + 10816/5 = 0?
-2, 52
What is a in -2*a**5/13 + 18*a**4/13 + 20*a**3/13 = 0?
-1, 0, 10
Let 3*n**2/7 - 213*n/7 + 30 = 0. What is n?
1, 70
Determine j so that -3*j**4/7 + 27*j**3/7 + 69*j**2/7 - 27*j/7 - 66/7 = 0.
-2, -1, 1, 11
Factor 3*w**3/4 + 87*w**2/4 - 45*w/2.
3*w*(w - 1)*(w + 30)/4
Suppose 169*q**3/4 + 637*q**2/4 + 198*q + 81 = 0. What is q?
-18/13, -1
Factor -d**5 + 44*d**4 - 337*d**3 - 3158*d**2 - 7100*d - 5000.
-(d - 25)**2*(d + 2)**3
Find o, given that -2*o**4/5 + 44*o**3/5 - 24*o**2 + 116*o/5 - 38/5 = 0.
1, 19
Factor -2*a**3 + 9906*a**2 - 16354806*a + 9000594902.
-2*(a - 1651)**3
Let -h**4 + 13*h**3 + 91*h**2 - 13*h - 90 = 0. What is h?
-5, -1, 1, 18
Factor v**5/3 + 4*v**4/3 - 4*v**3 + 2*v**2/3 + 11*v/3 - 2.
(v - 1)**3*(v + 1)*(v + 6)/3
Let -j**4/9 - 8*j**3/9 - 19*j**2/9 - 4*j/3 = 0. Calculate j.
-4, -3, -1, 0
Factor -2*r**3 - 38*r**2 - 62*r + 102.
-2*(r - 1)*(r + 3)*(r + 17)
Find k such that k**4 + 11*k**3 - 147*k**2 + 145*k + 950 = 0.
-19, -2, 5
Let 12*c**5 + 32*c**4 - 416*c**3 + 768*c**2 - 64*c - 512 = 0. What is c?
-8, -2/3, 2
Solve -r**2 + 3*r + 4 = 0.
-1, 4
Find b such that 22*b**2/5 + 6156*b/5 - 224 = 0.
-280, 2/11
Factor 2*w**2/3 + 3584*w/3 + 1605632/3.
2*(w + 896)**2/3
Factor -21*t**2/2 + 33*t/2 + 180.
-3*(t - 5)*(7*t + 24)/2
Factor -10*p**4/7 - 2*p**3/21 + 4*p**2/21.
-2*p**2*(3*p - 1)*(5*p + 2)/21
Factor -5*w**4 - 248*w**3 + 5*w**2 + 248*w.
-w*(w - 1)*(w + 1)*(5*w + 248)
Factor -2*m**3/5 + 24*m**2/5 - 58*m/5 + 36/5.
-2*(m - 9)*(m - 2)*(m - 1)/5
Factor 3*f**3 - 30*f**2 + 27*f.
3*f*(f - 9)*(f - 1)
Find g, given that -20*g**2 - 135*g + 35 = 0.
-7, 1/4
Factor -4*a**4 - 156*a**3 - 1268*a**2 + 4956*a - 3528.
-4*(a - 2)*(a - 1)*(a + 21)**2
Factor 2*k**3 - 376*k**2 + 16490*k + 112908.
2*(k - 97)**2*(k + 6)
Factor j**2/3 - 680*j/3 + 115600/3.
(j - 340)**2/3
Determine m, given that 2*m**5/5 - 22*m**4/5 - 304*m**3/5 = 0.
-8, 0, 19
Factor -5*i**2 + 60*i + 665.
-5*(i - 19)*(i + 7)
Suppose 12*o**3/5 - 262*o**2/5 + 1408*o/5 + 242/5 = 0. What is o?
-1/6, 11
Factor 4*m**3 - 64*m**2 + 276*m - 360.
4*(m - 10)*(m - 3)**2
Factor -16*n**2 + 426*n + 162.
-2*(n - 27)*(8*n + 3)
Solve z**5/8 - 11*z**4/8 + 27*z**3/8 + 31*z**2/8 - 17*z/2 - 15/2 = 0.
-1, 2, 5, 6
Solve 5*n**4 - 250*n**3 + 3120*n**2 + 250*n - 3125 = 0 for n.
-1, 1, 25
Factor 2*p**3/5 - 204*p**2/5 + 6936*p/5 - 78608/5.
2*(p - 34)**3/5
Determine r so that -2*r**2/5 + 224*r/5 - 88 = 0.
2, 110
Find l, given that 5*l**2 - 660*l + 21780 = 0.
66
Suppose -2*j**5/7 - 600*j**4/7 - 59380*j**3/7 - 1874560*j**2/7 + 918090*j + 8242408/7 = 0. What is j?
-101, -1, 4
Find a such that -2*a**4 + 2*a**3 + 6*a**2 - 2*a - 4 = 0.
-1, 1, 2
Factor 8*f**3 + 14*f**2 + 4*f - 2.
2*(f + 1)**2*(4*f - 1)
Find r such that r**3 - 1025*r**2 + 262143*r + 263169 = 0.
-1, 513
Factor -d**3/8 + 4*d**2 + 103*d/8 + 35/4.
-(d - 35)*(d + 1)*(d + 2)/8
Suppose -5*r**5 + 180*r**4 - 1105*r**3 + 2710*r**2 - 2940*r + 1160 = 0. What is r?
1, 2, 29
Suppose 4*b**5 + 40*b**4 + 112*b**3 + 96*b**2 = 0. What is b?
-6, -2, 0
Factor -3*i**2/7 + 6*i/7.
-3*i*(i - 2)/7
Let 4*n**2/3 + 40*n + 224/3 = 0. Calculate n.
-28, -2
Factor -49*q**2/5 - 8904*q/5 - 404496/5.
-(7*q + 636)**2/5
Suppose -2*a**4 + 62*a**3 - 172*a**2 + 112*a = 0. What is a?
0, 1, 2, 28
Factor 2*a**3/9 - 10*a**2/9 - 88*a/9 - 40/3.
2*(a - 10)*(a + 2)*(a + 3)/9
Let -4*x**5 - 32*x**4 + 4*x**3 + 32*x**2 = 0. What is x?
-8, -1, 0, 1
Let -21*j**3/8 + 45*j**2/4 + 57*j/2 - 9 = 0. What is j?
-2, 2/7, 6
Factor -5*r**3 - 225*r**2 + 710*r - 480.
-5*(r - 2)*(r - 1)*(r + 48)
Suppose 2*u**4 - 4*u**3 + 2*u**2 = 0. Calculate u.
0, 1
Find j such that -2*j**2/15 - 92*j/15 - 6 = 0.
-45, -1
Suppose -2*x**5/3 - 50*x**4/3 + 56*x**3/3 + 104*x**2/3 = 0. What is x?
-26, -1, 0, 2
Factor -j**4/5 + 36*j**3/5 - 69*j**2/5 + 34*j/5.
-j*(j - 34)*(j - 1)**2/5
Let -3*d**3 + 21*d + 18 = 0. Calculate d.
-2, -1, 3
What is g in -3*g**4 + 3*g**3 = 0?
0, 1
Find j such that -j**3/4 - 11*j**2/4 + j/4 + 11/4 = 0.
-11, -1, 1
Factor -b**5 + 26*b**4 - 105*b**3.
-b**3*(b - 21)*(b - 5)
Factor 4*u**4/3 - 16*u**3 + 88*u**2/3 + 112*u + 196/3.
4*(u - 7)**2*(u + 1)**2/3
Suppose 14*m**3 + 2292*m**2 - 656*m = 0. What is m?
-164, 0, 2/7
Factor -h**4 + 89*h**3 - 2170*h**2 + 7644*h + 24696.
-(h - 42)**2*(h - 7)*(h + 2)
Suppose 3*c**2 - 132*c - 423 = 0. Calculate c.
-3, 47
Solve -4*g**2/7 + 19*g/7 = 0.
0, 19/4
What is m in m**5 + 5*m**4 + 2*m**3 - 8*m**2 = 0?
-4, -2, 0, 1
Let 3*x**3/5 - 63*x**2/5 - 66*x/5 = 0. Calculate x.
-1, 0, 22
What is w in -w**4 - 13*w**3 - 30*w**2 = 0?
-10, -3, 0
Suppose -o**5 - 9*o**4 + 10*o**3 + 218*o**2 + 375*o + 175 = 0. What is o?
-7, -5, -1, 5
Determine n, given that n**3 + 37*n**2 - 38*n = 0.
-38, 0, 1
Suppose -4*w**3 + 340*w**2 - 4992*w - 101376 = 0. Calculate w.
-11, 48
Determine h, given that -2*h**5 + 124*h**4 - 226*h**3 - 832*h**2 - 480*h = 0.
-1, 0, 4, 60
Suppose 12*y**5 + 40*y**4 + 40*y**3 - 20*y - 8 = 0. Calculate y.
-1, 2/3
Determine q, given that -q**2/4 - 159*q/4 + 161/2 = 0.
-161, 2
Factor 4*l**2/3 + 24*l + 108.
4*(l + 9)**2/3
Factor -2*f**4 - 2554*f**3 - 1088850*f**2 - 155698750*f - 307062500.
-2*(f + 2)*(f + 425)**3
Factor -i**2 - 22*i - 21.
-(i + 1)*(i + 21)
Factor -9*d**4/5 - 3*d**3 + 8*d**2/5 + 16*d/5.
-d*(d - 1)*(3*d + 4)**2/5
Factor -c**4 + 4*c**3 - 5*c**2 + 2*c.
-c*(c - 2)*(c - 1)**2
Factor -44*l**2 - 64*l + 48.
-4*(l + 2)*(11*l - 6)
Find g such that 2*g**2/19 - 478*g/19 - 480/19 = 0.
-1, 240
Let -39*n**2/4 + 21*n - 3 = 0. What is n?
2/13, 2
Determine b, given that 245*b**3 - 14350*b**2 + 8140*b - 1160 = 0.
2/7, 58
Factor m**3 + 64*m**2/3 - 39*m - 46/3.
(m