4)*(s + 1)*(s + 3)/3
Factor -2*y**4 - 10*y**3 + 2*y**2 + 10*y.
-2*y*(y - 1)*(y + 1)*(y + 5)
What is d in d**2 - 33*d - 34 = 0?
-1, 34
What is x in 5*x**3 - 75*x**2 - 270*x = 0?
-3, 0, 18
Determine v so that -2*v**2 - 10*v = 0.
-5, 0
Solve -q**5/6 + 11*q**3/6 - q**2 - 14*q/3 + 4 = 0 for q.
-3, -2, 1, 2
Factor -4*v**3/3 - 44*v**2/3 - 140*v/3 - 100/3.
-4*(v + 1)*(v + 5)**2/3
Factor 3*b**2 + 4602*b + 1764867.
3*(b + 767)**2
Let o**2/2 + 13*o/2 - 7 = 0. What is o?
-14, 1
Factor -i**3/4 + 259*i**2/2.
-i**2*(i - 518)/4
Find r such that -8*r**3 - 332*r**2 + 512*r - 172 = 0.
-43, 1/2, 1
Factor 2*z**2 - 14*z.
2*z*(z - 7)
Suppose -5*z**5/6 + 280*z**4/3 - 550*z**3/3 - 5*z**2/3 + 1105*z/6 - 275/3 = 0. What is z?
-1, 1, 110
Factor -20*a**5/3 + 32*a**4/3 + 24*a**3 - 208*a**2/3 + 172*a/3 - 16.
-4*(a - 1)**4*(5*a + 12)/3
Factor -2*n**4 - 62*n**3 - 276*n**2 - 424*n - 208.
-2*(n + 1)*(n + 2)**2*(n + 26)
Factor -o**3 - 382*o**2 - 1516*o - 1512.
-(o + 2)**2*(o + 378)
Determine b so that b**3 - 19*b**2 + 99*b - 81 = 0.
1, 9
Determine n, given that -9*n**5/8 - 1101*n**4/8 + 14993*n**3/8 - 53367*n**2/8 + 3843*n - 1215/2 = 0.
-135, 1/3, 6
Find f such that 3*f**3 - 273*f**2 + 7320*f - 61200 = 0.
20, 51
Determine n, given that -n**2/4 - 17*n/4 - 13 = 0.
-13, -4
Suppose h**2/5 - 164*h/5 + 163/5 = 0. Calculate h.
1, 163
Factor -126*i**3 + 1124*i**2 + 94*i - 36.
-2*(i - 9)*(7*i - 1)*(9*i + 2)
Suppose 14*x**4 - 48*x**3 - 102*x**2 - 40*x = 0. Calculate x.
-1, -4/7, 0, 5
Find q, given that q**3/2 + 9*q**2 + 54*q + 108 = 0.
-6
Let -21*l**3 - 19*l**2 + 2*l = 0. Calculate l.
-1, 0, 2/21
Factor -5*c**2 - 15*c + 1700.
-5*(c - 17)*(c + 20)
Factor 5*x**2/6 + 355*x/6 + 3100/3.
5*(x + 31)*(x + 40)/6
What is u in -3*u**3/4 - 3*u**2/2 - 3*u/4 = 0?
-1, 0
Factor 27*n**2 + 30*n + 3.
3*(n + 1)*(9*n + 1)
Solve 3*d**2 + 72*d + 240 = 0 for d.
-20, -4
Solve x**3/5 - 99*x**2/5 - 20*x = 0.
-1, 0, 100
Factor -2*o**4/5 + 58*o**3 - 12726*o**2/5 + 150822*o/5.
-2*o*(o - 63)**2*(o - 19)/5
Suppose 3*z**4 - 60*z**3 + 369*z**2 - 540*z - 972 = 0. Calculate z.
-1, 6, 9
What is q in -3*q**3/7 - 36*q**2/7 - 69*q/7 + 108/7 = 0?
-9, -4, 1
Factor -2*k**2/3 + 134*k/3.
-2*k*(k - 67)/3
Factor j**2 - 27*j + 152.
(j - 19)*(j - 8)
Solve -84*a**4 + 3616*a**3 - 37152*a**2 - 38016*a - 7744 = 0 for a.
-2/3, -2/7, 22
Factor 2*i**3/5 + 24*i**2/5 + 18*i + 20.
2*(i + 2)*(i + 5)**2/5
Determine w, given that 3*w**5 - 57*w**4 + 378*w**3 - 1038*w**2 + 1155*w - 441 = 0.
1, 3, 7
Solve 3*h**3 + 18*h**2 + 27*h = 0.
-3, 0
Factor 2*s**2/7 + 24*s/7 + 72/7.
2*(s + 6)**2/7
Factor -2*n**3 + 8*n**2 + 2*n - 8.
-2*(n - 4)*(n - 1)*(n + 1)
Solve 2*r**4/15 + 2*r**3/3 - 48*r**2/5 + 96*r/5 = 0 for r.
-12, 0, 3, 4
Suppose 4*n**4 + 32*n**3 + 84*n**2 + 88*n + 32 = 0. What is n?
-4, -2, -1
Factor -18*v**3 + 49*v**2/4 - 5*v/4.
-v*(8*v - 1)*(9*v - 5)/4
Determine r so that -2*r**2/11 - 884*r/11 - 97682/11 = 0.
-221
Factor -3*h**5 - 93*h**4 - 90*h**3.
-3*h**3*(h + 1)*(h + 30)
Suppose 4*n**3 + 76*n**2 + 72*n = 0. What is n?
-18, -1, 0
Factor 5*r**2 + 2445*r + 4870.
5*(r + 2)*(r + 487)
Solve 4*g**5 + 192*g**4 + 3332*g**3 + 23336*g**2 + 33264*g - 189728 = 0.
-14, -11, 2
Let -2*q**2 - 48*q - 288 = 0. What is q?
-12
Let 5*j**4/4 + 335*j**3/4 - 685*j**2/4 + 345*j/4 = 0. What is j?
-69, 0, 1
What is t in 3*t**4/2 - 51*t**3 + 279*t**2/2 = 0?
0, 3, 31
Factor 3*h**2 + 48*h + 117.
3*(h + 3)*(h + 13)
Suppose -v**2/2 - 131*v - 17161/2 = 0. What is v?
-131
Factor 24*w**2/5 - 43*w/5 + 18/5.
(3*w - 2)*(8*w - 9)/5
Let -3*t**4 + 1917*t**3 - 408321*t**2 + 28990791*t = 0. Calculate t.
0, 213
Suppose u**4 + 7*u**3 + 9*u**2 - 27*u - 54 = 0. What is u?
-3, 2
Factor 4*j**4 + 24*j**3 + 16*j**2 - 24*j - 20.
4*(j - 1)*(j + 1)**2*(j + 5)
Find a, given that -5*a**4/4 + 25*a**3/2 + 305*a**2/4 - 175*a/2 = 0.
-5, 0, 1, 14
Determine a, given that -122*a**2/5 - 108*a - 208/5 = 0.
-4, -26/61
Factor y**2 - 626*y + 625.
(y - 625)*(y - 1)
Factor -4*k**4 + 344*k**3 - 980*k**2 - 1328*k.
-4*k*(k - 83)*(k - 4)*(k + 1)
What is n in 10*n**4 - 506*n**3 + 6036*n**2 + 9256*n + 2704 = 0?
-1, -2/5, 26
Suppose 3*j**5 + 132*j**4 - 753*j**3 - 786*j**2 + 4800*j + 4704 = 0. Calculate j.
-49, -2, -1, 4
Factor j**5/2 + 7*j**4/2 - 19*j**3 + 31*j**2 - 43*j/2 + 11/2.
(j - 1)**4*(j + 11)/2
Factor -2*i**3 - 894*i**2 - 888*i + 1784.
-2*(i - 1)*(i + 2)*(i + 446)
Suppose -3*f**4/4 - 3*f**3/4 + 3*f**2/4 + 3*f/4 = 0. What is f?
-1, 0, 1
Solve 2*r**5/7 + 96*r**4/7 + 1044*r**3/7 - 400*r**2 - 3750*r/7 = 0 for r.
-25, -1, 0, 3
What is z in 5*z**5 + 15*z**4 - 20*z**3 - 80*z**2 + 80 = 0?
-2, 1, 2
Find h such that -4*h**4/5 + 16*h**3 - 168*h**2/5 - 144*h + 1836/5 = 0.
-3, 3, 17
What is l in -3*l**2/4 - 12*l - 45 = 0?
-10, -6
Factor 4*d**2 + 1332*d - 4032.
4*(d - 3)*(d + 336)
Let -d**5/3 + 15*d**4 + 2*d**3/3 - 30*d**2 - d/3 + 15 = 0. What is d?
-1, 1, 45
Let 2*y**4/13 - 8*y**3/13 - 14*y**2/13 + 44*y/13 + 48/13 = 0. Calculate y.
-2, -1, 3, 4
What is z in 4*z**4/3 - 484*z**3/3 + 160*z**2 = 0?
0, 1, 120
Factor -405*w**2 - 36*w - 4/5.
-(45*w + 2)**2/5
Suppose k**4 - 3*k**2 + 2*k = 0. What is k?
-2, 0, 1
Suppose 2*u**4/5 + 72*u**3 + 16556*u**2/5 + 6408*u + 15842/5 = 0. What is u?
-89, -1
Factor -n**4 + 7705*n**3 - 19791576*n**2 + 16954778304*n - 16934994432.
-(n - 2568)**3*(n - 1)
What is t in t**4/6 + 107*t**3/6 + 415*t**2/6 + 103*t/2 = 0?
-103, -3, -1, 0
Let -m**2 - 12*m - 32 = 0. Calculate m.
-8, -4
Suppose 2*v**5/9 + 8*v**4/9 - 2*v**3/3 - 20*v**2/9 + 16*v/9 = 0. Calculate v.
-4, -2, 0, 1
Factor 6*m**3/5 - 2214*m**2 + 1361610*m - 279130050.
6*(m - 615)**3/5
Factor -3*q**4 - 102*q**3 - 756*q**2 + 1944*q.
-3*q*(q - 2)*(q + 18)**2
Find p such that 2*p**4 + 44*p**3 - 262*p**2 - 5544*p + 31752 = 0.
-18, 7
Factor -r**3/5 + 14*r**2/5 - 8*r.
-r*(r - 10)*(r - 4)/5
Solve 2*b**5/9 + 8*b**4/9 - 76*b**3/9 - 88*b**2/9 + 74*b/9 + 80/9 = 0.
-8, -1, 1, 5
What is q in -5*q**4/4 + 39*q**3/4 + 783*q**2/4 + 2405*q/4 + 225/2 = 0?
-5, -1/5, 18
Factor -2*l**2 - 18*l + 104.
-2*(l - 4)*(l + 13)
Find i such that -28*i**3 - 400*i**2 - 1232*i - 320 = 0.
-10, -4, -2/7
Factor 2*i**4 + 28*i**3 + 90*i**2.
2*i**2*(i + 5)*(i + 9)
Find y such that -2*y**2/9 - 44*y/3 + 1184/9 = 0.
-74, 8
Determine a, given that -15*a**4 + 129*a**3 - 147*a**2 - 165*a + 126 = 0.
-1, 3/5, 2, 7
Solve -28*m**2 - 2484*m + 712 = 0 for m.
-89, 2/7
Suppose -14*q**4/23 - 2356*q**3/23 - 97062*q**2/23 + 174760*q/23 + 57800/23 = 0. What is q?
-85, -2/7, 2
Factor w**3/4 - 9*w**2/4 - 57*w/4 + 65/4.
(w - 13)*(w - 1)*(w + 5)/4
Determine a, given that -5*a**2 - 110*a - 200 = 0.
-20, -2
Determine g, given that g**5/3 - 3*g**4 - 125*g**3/3 + 243*g**2 + 4048*g/3 + 1452 = 0.
-9, -2, 11
Solve 25*n**3 - 1585*n**2 + 2180*n - 620 = 0.
2/5, 1, 62
Suppose 5*v**2 - 39810*v + 79241805 = 0. What is v?
3981
Find p, given that -3*p**5/2 + 327*p**3/2 + 648*p**2 - 162*p - 648 = 0.
-6, -1, 1, 12
Factor 2*y**2/5 + 334*y/5.
2*y*(y + 167)/5
Suppose 4*m**3 + 68*m**2 + 252*m - 324 = 0. Calculate m.
-9, 1
Determine g, given that -3*g**4/7 - 39*g**3/7 - 27*g**2 - 405*g/7 - 324/7 = 0.
-4, -3
Let 2*m**5/7 + 142*m**4/7 + 780*m**3/7 = 0. What is m?
-65, -6, 0
Factor m**4/8 + 4*m**3 - 67*m**2/8 + 17*m/4.
m*(m - 1)**2*(m + 34)/8
Factor -2*o**4/9 - 20*o**3/9 - 46*o**2/9 - 28*o/9.
-2*o*(o + 1)*(o + 2)*(o + 7)/9
Determine s, given that 6*s**3 + 156*s**2 + 1352*s + 35152/9 = 0.
-26/3
Find z, given that 3*z**4/2 + 11*z**3/2 - 24*z**2 - 18*z = 0.
-6, -2/3, 0, 3
Factor -3*f**2/2 - 48*f + 480.
-3*(f - 8)*(f + 40)/2
Factor 3*w**4/4 + 273*w**3/4 + 4185*w**2/2 + 22275*w + 20250.
3*(w + 1)*(w + 30)**3/4
Factor -2*x**2/3 - 58*x + 180.
-2*(x - 3)*(x + 90)/3
Let 52*j**3/5 - 232*j**2/5 + 96*j/5 = 0. Calculate j.
0, 6/13, 4
What is m in 8*m**4/7 + 6*m**3 - 278*m**2/7 - 72*m/7 = 0?
-9, -1/4, 0, 4
Solve 2*k**4/5 - 12*k**3/5 - 214*k**2/5 - 48*k + 280 = 0.
-5, 2, 14
Determine n so that 5*n**5/4 + 40*n**4 - 5*n**3/2 - 80*n**2 + 5*n/4 + 40 = 0.
-32, -1, 1
Find t, given that t**4 - 5748*t**3 + 12389814*t**2 - 11869441812*t + 4264096970961 = 0.
1437
Factor -3*f**2 + 72*f + 336.
-3*(f - 28)*(f + 4)
Factor -5*x**5 - 485*x**4 - 11015*x**3 + 36005*x**2 - 37000*x + 12500.
-5*(x - 1)**3*(x + 50)**2
Determine o so that 6086*o**2/9 + 4*o/9 = 0.
-2/3043, 0
Factor -5*m**4 - 30*m**3 - 25*m**2 + 60*m.
-5*m*(m - 1)*(m + 3)*(m + 4)
Factor -2*f**2/7 + 25*f/7 - 6.
-