 4186)*(a + 1)**2/2
Let 170*t**3 - 174*t**2 + 4*t = 0. Calculate t.
0, 2/85, 1
Suppose -u**3 - 56*u**2/3 - 103*u/3 - 50/3 = 0. Calculate u.
-50/3, -1
Let f**2/3 - 17*f - 280/3 = 0. Calculate f.
-5, 56
Factor -3481*r**2 + 236*r - 4.
-(59*r - 2)**2
Solve 4*c**5/3 + 16*c**4/3 = 0 for c.
-4, 0
Suppose 3*l**2 + 33*l + 54 = 0. Calculate l.
-9, -2
Suppose 27*a**2/8 + 15*a/2 + 3/2 = 0. Calculate a.
-2, -2/9
Factor -3*k**4 + 138*k**3 - 636*k**2 + 870*k - 369.
-3*(k - 41)*(k - 3)*(k - 1)**2
Factor 238*q**2/5 + 4*q/5.
2*q*(119*q + 2)/5
Suppose -2*p**5/3 + 22*p**4/3 - 52*p**3/3 + 32*p**2/3 = 0. What is p?
0, 1, 2, 8
What is h in -4*h**4 - 7096*h**3 - 3154164*h**2 - 6287056*h - 3139984 = 0?
-886, -1
Factor -2*x**4 - 2*x**3.
-2*x**3*(x + 1)
Determine c so that 19*c**2/5 - 18*c/5 - 1/5 = 0.
-1/19, 1
Determine w, given that -w**3/6 - 109*w**2/6 - 200*w - 582 = 0.
-97, -6
Factor 2*k**4/7 - 34*k**3/7 - 162*k**2/7 - 18*k.
2*k*(k - 21)*(k + 1)*(k + 3)/7
Solve 2*f**3 + 882*f**2 + 129654*f + 6353046 = 0 for f.
-147
Suppose -5*y**3 + 145*y**2 - 275*y + 135 = 0. What is y?
1, 27
Factor r**5 + 76*r**4 + 75*r**3.
r**3*(r + 1)*(r + 75)
Suppose 9*h**5/2 - 51*h**4/2 - 9*h**3 + 99*h**2 + 201*h/2 + 45/2 = 0. Calculate h.
-1, -1/3, 3, 5
Find s such that 5*s**4 - 710*s**3 + 2775*s**2 - 2070*s = 0.
0, 1, 3, 138
Factor 4*p**5 - 32*p**4 - 12*p**3 + 520*p**2 - 800*p.
4*p*(p - 5)**2*(p - 2)*(p + 4)
Solve -2*k**4 + 32*k**3/7 + 34*k**2/7 - 12*k/7 = 0 for k.
-1, 0, 2/7, 3
What is o in -28*o**5/3 - 100*o**4 + 216*o**3 + 2192*o**2/3 - 1568*o + 384 = 0?
-12, -3, 2/7, 2
Solve -3*f**5 - 3*f**4 + 6*f**3 = 0.
-2, 0, 1
What is x in -4*x**3 - 24*x**2 + 4*x + 24 = 0?
-6, -1, 1
Factor 5*i**3 + 120*i**2 - 255*i + 130.
5*(i - 1)**2*(i + 26)
Factor r**2/7 - 1114*r/7 + 310249/7.
(r - 557)**2/7
Find y such that 7*y**5/10 + 6*y**4/5 - 2*y**3/5 - 7*y**2/5 - 3*y/10 + 1/5 = 0.
-1, 2/7, 1
Factor -2*s**3/3 - 86*s**2/3 - 220*s.
-2*s*(s + 10)*(s + 33)/3
Find c such that c**4/5 + 9*c**3/5 - 5*c**2 - 33*c/5 = 0.
-11, -1, 0, 3
Let -5*m**4 + 55*m**3 - 165*m**2 + 185*m - 70 = 0. What is m?
1, 2, 7
Suppose -5*f**3 - 15*f**2 + 45*f + 135 = 0. What is f?
-3, 3
Determine j so that -3*j**5 - 138*j**4 + 897*j**3 - 1992*j**2 + 1860*j - 624 = 0.
-52, 1, 2
Determine v so that 5*v**2 - 3600*v + 648000 = 0.
360
Factor -h**4/3 + 92*h**3/3 - 641*h**2 - 2976*h - 2304.
-(h - 48)**2*(h + 1)*(h + 3)/3
Find s such that -s**4/2 + 31*s**3/2 - 327*s**2/2 + 1265*s/2 - 484 = 0.
1, 8, 11
Factor 4*q**2 - 1388*q - 1392.
4*(q - 348)*(q + 1)
Let 5*s**4 + 25*s**3 - 155*s**2 + 215*s - 90 = 0. Calculate s.
-9, 1, 2
Factor 2*w**2/7 + 258*w/7 - 260/7.
2*(w - 1)*(w + 130)/7
Factor 136*t**2 + 4*t.
4*t*(34*t + 1)
Solve 5*r**4 - 140*r**3 - 135*r**2 + 3510*r + 7560 = 0 for r.
-3, 6, 28
What is j in -j**4 + 5*j**3 - 2*j**2 - 8*j = 0?
-1, 0, 2, 4
Factor 3*p**2 - 21*p + 18.
3*(p - 6)*(p - 1)
Suppose 3*h**2 - 30*h + 48 = 0. What is h?
2, 8
Determine k, given that -k**5/4 - 19*k**4/4 - 79*k**3/4 - 133*k**2/4 - 25*k - 7 = 0.
-14, -2, -1
Factor -w**4 + 9*w**3 + 22*w**2.
-w**2*(w - 11)*(w + 2)
Determine q so that 14*q**4/11 + 388*q**3/11 + 1834*q**2/11 - 2908*q/11 + 672/11 = 0.
-21, -8, 2/7, 1
Suppose -n**2/3 - 226*n/3 - 12769/3 = 0. Calculate n.
-113
Factor r**4 - 2*r**3 - r**2 + 2*r.
r*(r - 2)*(r - 1)*(r + 1)
Factor -3*n**2 + 690*n - 39675.
-3*(n - 115)**2
Solve -24*z**2 - 356*z + 60 = 0.
-15, 1/6
Factor -i**3 - 61*i**2 - 899*i + 961.
-(i - 1)*(i + 31)**2
Factor -2*y**3/3 - 32*y**2/3 - 56*y/3.
-2*y*(y + 2)*(y + 14)/3
Factor -5*x**3 - 5645*x**2 + 5660*x + 11300.
-5*(x - 2)*(x + 1)*(x + 1130)
Factor -i**4/9 - i**3 - 8*i**2/3 - 16*i/9.
-i*(i + 1)*(i + 4)**2/9
Solve f**4/5 + 7*f**3/5 - 17*f**2/5 + 9*f/5 = 0.
-9, 0, 1
Suppose 4*u**2 + 200*u + 384 = 0. Calculate u.
-48, -2
Solve 200201625*t**3/2 + 1026675*t**2 + 3510*t + 4 = 0.
-2/585
Find h, given that -21*h**5 - 36*h**4 + 33*h**3 + 36*h**2 - 12*h = 0.
-2, -1, 0, 2/7, 1
Factor -3*z**2/8 + 39*z/8 - 9/2.
-3*(z - 12)*(z - 1)/8
Determine s, given that -s**5 + 6*s**4 - 2*s**3 - 20*s**2 + 27*s - 10 = 0.
-2, 1, 5
Find n, given that -4*n**3/7 - 942*n**2/7 - 55224*n/7 + 27848/7 = 0.
-118, 1/2
Solve -3*o**5 + 3*o**4 + 45*o**3 + 69*o**2 + 30*o = 0 for o.
-2, -1, 0, 5
Let -x**5 - 12*x**4 - 7*x**3 + 144*x**2 + 116*x - 240 = 0. What is x?
-10, -4, -2, 1, 3
Find q, given that -5*q**3/2 + 5*q**2/2 + 180*q = 0.
-8, 0, 9
Suppose 5*u**3 - 160*u**2 + 1280*u = 0. What is u?
0, 16
Let 8*u**4/3 + 98*u**3/3 + 104*u**2 + 328*u/3 + 64/3 = 0. Calculate u.
-8, -2, -1/4
Factor -2*k**4/5 + 14*k**3/5 - 6*k**2 + 18*k/5.
-2*k*(k - 3)**2*(k - 1)/5
Suppose 28*i**5 - 8*i**4 - 84*i**3 + 80*i**2 - 16*i = 0. What is i?
-2, 0, 2/7, 1
Factor -u**3 - 230*u**2 + 1407*u - 2124.
-(u - 3)**2*(u + 236)
Factor 5*x**3 - 70*x**2 + 125*x - 60.
5*(x - 12)*(x - 1)**2
Factor -21*p**2 + 237*p - 66.
-3*(p - 11)*(7*p - 2)
Factor -16*y**2 - 196*y - 544.
-4*(y + 8)*(4*y + 17)
Determine y so that -3*y**3 - 138*y**2 - 1593*y - 1458 = 0.
-27, -18, -1
What is i in -28*i**4/15 - 22*i**3/15 + 2*i**2/3 + 4*i/15 = 0?
-1, -2/7, 0, 1/2
Determine i so that 4*i**3 - 1128*i**2 = 0.
0, 282
Factor t**4/2 + 1235*t**3/2 + 379449*t**2/2 - 1147007*t/2 + 383161.
(t - 2)*(t - 1)*(t + 619)**2/2
Let -4*v**4/7 - 4*v**3/7 + 20*v**2/7 - 12*v/7 = 0. What is v?
-3, 0, 1
Suppose 2*b**3/9 - 4*b**2/9 + 2*b/9 = 0. What is b?
0, 1
Factor v**3/3 - 1733*v**2/3.
v**2*(v - 1733)/3
Factor -f**3/3 - 55*f**2/3 + 56*f/3.
-f*(f - 1)*(f + 56)/3
Factor -u**3/8 - 17*u**2/8 - 91*u/8 - 147/8.
-(u + 3)*(u + 7)**2/8
Factor -h**5 + h**4 + 3*h**3 - h**2 - 2*h.
-h*(h - 2)*(h - 1)*(h + 1)**2
Factor -5*i**5 + 30*i**4 + 795*i**3 - 5000*i**2 - 31680*i + 207360.
-5*(i - 8)**3*(i + 9)**2
Factor 2*c**4/3 + 20108*c**3/3 + 22465104*c**2 + 25108493436*c + 25086035034.
2*(c + 1)*(c + 3351)**3/3
Solve 2*c**5 + 24*c**4 + 16*c**3 - 68*c**2 - 18*c + 44 = 0.
-11, -2, -1, 1
Suppose -4*t**4 + 26*t**3 + 132*t**2 + 88*t - 80 = 0. What is t?
-2, 1/2, 10
Find s such that -30*s**4 + 475*s**3 - 1840*s**2 - 320*s = 0.
-1/6, 0, 8
Determine r, given that 5*r**4 - 50*r**3 + 145*r**2 - 100*r = 0.
0, 1, 4, 5
Determine y so that -10*y**5 - 176*y**4 + 1222*y**3 - 460*y**2 = 0.
-23, 0, 2/5, 5
Factor -2*a**4 - 4*a**3 + 6*a**2.
-2*a**2*(a - 1)*(a + 3)
What is x in 8*x**5 + 34*x**4 - 16*x**3 - 150*x**2 - 36*x = 0?
-3, -1/4, 0, 2
Factor o**5/2 + 61*o**4 + 1920*o**3 + 3600*o**2.
o**2*(o + 2)*(o + 60)**2/2
Let d**4/5 + 4*d**3/5 - 4*d**2/5 - 16*d/5 = 0. Calculate d.
-4, -2, 0, 2
Suppose -3*p**2 - 24*p = 0. Calculate p.
-8, 0
Factor 5*l**4/3 + 43*l**3/3 + 106*l**2/3 + 80*l/3.
l*(l + 2)*(l + 5)*(5*l + 8)/3
Factor -3*h**3/2 + 21*h**2/2 - 15*h.
-3*h*(h - 5)*(h - 2)/2
Determine w so that -165*w**3/2 - 1977*w**2/2 - 2952*w + 54 = 0.
-6, 1/55
Determine p so that -5*p**3/2 + 9*p**2 + 81*p/2 - 27 = 0.
-3, 3/5, 6
Factor -v**4/2 + 7*v**3/2 + 69*v**2/2 + 117*v/2.
-v*(v - 13)*(v + 3)**2/2
Suppose -21*p**4/4 - 4341*p**3/4 - 115047*p**2/2 - 147339*p + 46818 = 0. What is p?
-102, -3, 2/7
What is h in 3*h**5/5 - 6*h**4/5 - 27*h**3/5 + 6*h**2/5 + 24*h/5 = 0?
-2, -1, 0, 1, 4
Factor -h**2/2 - 410*h - 84050.
-(h + 410)**2/2
Factor -3*s**2 - 384*s - 12288.
-3*(s + 64)**2
Suppose 5*y**2 + 140*y + 960 = 0. Calculate y.
-16, -12
Determine h, given that 3*h**2/2 + 798*h + 1593/2 = 0.
-531, -1
Solve -3*p**4/2 + 9*p**3/2 + 9*p**2 - 12*p = 0.
-2, 0, 1, 4
What is l in -l**3/3 + 14*l**2/3 = 0?
0, 14
Solve 6*b**3/5 + 7*b**2/5 - 6*b/5 - 7/5 = 0 for b.
-7/6, -1, 1
Factor 3*o**5 + 15*o**4 - 18*o**3.
3*o**3*(o - 1)*(o + 6)
What is g in 6*g**4/11 - 42*g**3/11 - 84*g**2/11 + 288*g/11 = 0?
-3, 0, 2, 8
Let 3*z**2 + 669*z - 1350 = 0. Calculate z.
-225, 2
Factor 2*h**5/5 - 6*h**4/5 - 8*h**3/5 + 32*h**2/5 - 32/5.
2*(h - 2)**3*(h + 1)*(h + 2)/5
Solve -4*q**4 - 64*q**3 - 276*q**2 - 376*q - 160 = 0.
-10, -4, -1
Solve -2*k**4/13 - 6*k**3/13 + 6*k**2/13 + 22*k/13 + 12/13 = 0.
-3, -1, 2
Factor -45*r**4 + 51*r**3 - 6*r**2.
-3*r**2*(r - 1)*(15*r - 2)
Let a**4 + 17*a**3 - 19*a**2 - 17*a + 18 = 0. What is a?
-18, -1, 1
Factor -2*f**3/5 - 52*f**2/5 - 62*f + 364/5.
-2*(f - 1)*(f + 13)*(f + 14)/5
Let -3*a**2 + 111*a - 210 = 0. Calculate a.
2, 35
Suppose -4*y**3/9 - 58*y**2/9 - 124*y/9 - 16/3 = 0. What is y?
-12, -2, -1/2
What is d in 3*d**5 - 186*d**4 - 381*d**3 - 192*d**2 = 0?
-1, 0, 64
Find b such that -2*