, -1, 1
Factor -3*y**4 + 3*y**3 + 9*y**2 - 15*y + 6.
-3*(y - 1)**3*(y + 2)
Let 4*t**5/5 + 56*t**4/5 - 312*t**3/5 - 416*t**2/5 + 308*t/5 + 72 = 0. Calculate t.
-18, -1, 1, 5
Suppose -13*s**5/5 + 77*s**4/5 - 151*s**3/5 + 123*s**2/5 - 36*s/5 = 0. Calculate s.
0, 12/13, 1, 3
Determine f, given that -2*f**4/9 - f**3 - 2*f**2/9 + 4*f + 40/9 = 0.
-5/2, -2, 2
Factor -a**2/2 - 17*a/2 - 21.
-(a + 3)*(a + 14)/2
Factor 3*m**3 + 303*m**2 + 7497*m - 7803.
3*(m - 1)*(m + 51)**2
Suppose 2*y**4/7 + 8*y**3/7 + 8*y**2/7 = 0. Calculate y.
-2, 0
What is p in -3*p**3 + 21*p**2 - 21*p - 45 = 0?
-1, 3, 5
Factor -3*g**2 - 612*g - 31212.
-3*(g + 102)**2
Factor 2*s**3/3 - 4*s**2/3 + 2*s/3.
2*s*(s - 1)**2/3
Let s**3/2 - 7*s**2/2 - s/2 + 7/2 = 0. Calculate s.
-1, 1, 7
Suppose r**2/9 + 4*r/9 + 1/3 = 0. Calculate r.
-3, -1
Let 2*k**2 - 6*k - 8 = 0. Calculate k.
-1, 4
Factor -2*s**2/3 - 8*s - 64/3.
-2*(s + 4)*(s + 8)/3
Factor 2*r**5/5 - 770*r**4 + 1854736*r**3/5 - 1850888*r**2/5.
2*r**2*(r - 962)**2*(r - 1)/5
Let -l**4/5 + 2*l**3/5 + 108*l**2/5 + 86*l + 65 = 0. Calculate l.
-5, -1, 13
Solve 20*u**2 - 2645*u + 660 = 0 for u.
1/4, 132
Suppose 3*f**4/4 - 3*f**3/2 = 0. What is f?
0, 2
Factor -p**2/4 - 43*p - 1849.
-(p + 86)**2/4
Determine p so that -8*p**4 - 1156*p**3 - 568*p**2 + 1156*p + 576 = 0.
-144, -1, -1/2, 1
Factor w**3/2 - 9*w**2/2 + 12*w - 8.
(w - 4)**2*(w - 1)/2
Factor -3*v**3/2 + 3*v**2 + 3*v/2 - 3.
-3*(v - 2)*(v - 1)*(v + 1)/2
Factor 3*o**2 - 42*o - 96.
3*(o - 16)*(o + 2)
Solve -x**2 - 595*x - 2364 = 0 for x.
-591, -4
What is n in n**5/3 - n**4/3 - n**3/3 + n**2/3 = 0?
-1, 0, 1
Solve 14*a**2 - 108*a - 32 = 0 for a.
-2/7, 8
Suppose f**2/3 + 260*f/3 = 0. What is f?
-260, 0
Find s such that -4*s**5 + 72*s**4 + 532*s**3 + 1032*s**2 + 576*s = 0.
-3, -2, -1, 0, 24
Suppose -z**4/5 - 2*z**3 + 55*z**2 + 300*z - 4500 = 0. Calculate z.
-15, 10
Suppose 2*t**3 + 66*t**2 + 726*t + 2662 = 0. What is t?
-11
Determine j so that 3*j**5/5 - 48*j**4/5 + 222*j**3/5 - 168*j**2/5 - 441*j/5 = 0.
-1, 0, 3, 7
Factor 2*b**2 - 722*b + 720.
2*(b - 360)*(b - 1)
Suppose -q**5/3 + 15*q**4 - 482*q**3/3 - 574*q**2/3 + 161*q + 529/3 = 0. Calculate q.
-1, 1, 23
Determine s so that 2*s**5/5 - 2*s**4/5 - 18*s**3/5 + 2*s**2/5 + 8*s + 24/5 = 0.
-2, -1, 2, 3
What is x in 5*x**3 + 410*x**2 + 11040*x + 97920 = 0?
-34, -24
Factor 16*x**3 + 12*x**2 - 180*x.
4*x*(x - 3)*(4*x + 15)
What is h in -3*h**4/2 + 9*h**3/2 - 3*h**2/2 - 9*h/2 + 3 = 0?
-1, 1, 2
Factor 5*r**2 - 350*r - 2280.
5*(r - 76)*(r + 6)
Factor w**3/5 - 42*w**2/5 + 81*w/5 - 8.
(w - 40)*(w - 1)**2/5
What is t in t**4/5 + 11*t**3/5 + 3*t**2/5 - 203*t/5 - 196/5 = 0?
-7, -1, 4
Suppose -2*x**4/3 + 2*x**3 = 0. What is x?
0, 3
Let -2*l**3/9 - 118*l**2/3 - 3434*l/3 + 510050/9 = 0. Calculate l.
-101, 25
Factor 4*r**2 - 244*r + 240.
4*(r - 60)*(r - 1)
Find t, given that t**3/6 + 367*t**2/6 + 11285*t/2 + 11163/2 = 0.
-183, -1
Suppose 2*v**3/9 + 100*v**2/3 - 302*v/9 = 0. Calculate v.
-151, 0, 1
Factor -p**2/6 + 125*p/6.
-p*(p - 125)/6
Determine h, given that -h**3/2 + 127*h**2/4 - 169*h - 805/4 = 0.
-1, 7, 115/2
What is x in -2*x**5/7 + 32*x**4/7 + 12*x**3/7 - 1208*x**2/7 - 1738*x/7 + 2904/7 = 0?
-4, -3, 1, 11
Factor j**3/4 + 9*j**2/2 + 65*j/4.
j*(j + 5)*(j + 13)/4
Suppose -2*x**5/9 + 64*x**4/9 - 394*x**3/9 + 212*x**2/9 + 224*x/3 = 0. What is x?
-1, 0, 2, 7, 24
Determine y so that 3*y**2/4 - 999*y/2 + 1995/4 = 0.
1, 665
Factor 3*l**3 - 77*l**2 - 320*l/3 - 36.
(l - 27)*(3*l + 2)**2/3
Factor -5*f**3 + 125*f**2 + 420*f.
-5*f*(f - 28)*(f + 3)
Factor -6*c**4 + 20*c**3 + 46*c**2 + 20*c.
-2*c*(c - 5)*(c + 1)*(3*c + 2)
Factor -2*f**4/15 + 88*f**3/15 - 468*f**2/5 + 9464*f/15 - 4394/3.
-2*(f - 13)**3*(f - 5)/15
Factor c**2 - 278*c - 279.
(c - 279)*(c + 1)
Factor 12*r**3 - 21*r**2 - 6*r.
3*r*(r - 2)*(4*r + 1)
Let -9*g**4/8 - 11*g**3/8 + 295*g**2/8 - 501*g/8 - 63/4 = 0. What is g?
-7, -2/9, 3
Solve 4*n**2/5 - 288*n/5 + 1088/5 = 0 for n.
4, 68
Solve -2*y**2/5 + 16528*y/5 - 34146848/5 = 0.
4132
Suppose 2*c**3/3 + 250*c**2/3 = 0. What is c?
-125, 0
What is p in 2*p**2/23 + 82*p/23 + 80/23 = 0?
-40, -1
Find q, given that 5*q**5 - 510*q**4 + 8095*q**3 + 8610*q**2 = 0.
-1, 0, 21, 82
Determine w so that -w**4/3 + w**3 + w**2/3 - w = 0.
-1, 0, 1, 3
Factor 4*h**3 + 148*h**2 + 544*h + 528.
4*(h + 2)**2*(h + 33)
Let -3*x**4/5 - 12*x**3/5 = 0. What is x?
-4, 0
Factor -16*v**3 + 372*v**2 + 4320*v - 107200.
-4*(v - 20)**2*(4*v + 67)
Factor 3*o**3 - 213*o**2 + 4017*o - 22815.
3*(o - 45)*(o - 13)**2
Find f, given that -2*f**5/19 - 34*f**4/19 - 86*f**3/19 + 482*f**2/19 - 560*f/19 + 200/19 = 0.
-10, 1
Determine o so that o**4 - 160*o**3 + 474*o**2 - 472*o + 157 = 0.
1, 157
Suppose 28*n**4/5 - 582*n**3/5 + 2096*n**2/5 - 1938*n/5 + 396/5 = 0. What is n?
2/7, 1, 3, 33/2
Suppose 3*c**2/4 + 1239*c/2 + 511707/4 = 0. What is c?
-413
Solve 2*p**2/17 - 12*p/17 - 14/17 = 0 for p.
-1, 7
Let -j**3/3 + 23*j**2 - 513*j + 3645 = 0. Calculate j.
15, 27
Find s such that -3*s**2 - 4032*s - 4029 = 0.
-1343, -1
Determine q, given that q**4 - 15*q**3 + 22*q**2 + 60*q - 104 = 0.
-2, 2, 13
Find n such that -2*n**2/3 + 50*n/3 + 52/3 = 0.
-1, 26
Solve 99*c**5/2 + 168*c**4 + 317*c**3/2 + 42*c**2 + 2*c = 0.
-2, -1, -1/3, -2/33, 0
Factor i**4/4 + i**3/2 - i/2 - 1/4.
(i - 1)*(i + 1)**3/4
Factor -d**2/3 - 14*d/3 + 40.
-(d - 6)*(d + 20)/3
Factor -v**4/3 - 34*v**3/3 - 32*v**2/3 + 34*v/3 + 11.
-(v - 1)*(v + 1)**2*(v + 33)/3
Let -28*k**5/15 - 6*k**4 + 266*k**3/15 + 24*k**2/5 - 8*k/3 = 0. Calculate k.
-5, -1/2, 0, 2/7, 2
Factor a**5/5 + 8*a**4/5 + 21*a**3/5 + 18*a**2/5.
a**2*(a + 2)*(a + 3)**2/5
Factor 5*p**4 - 240*p**3 + 235*p**2.
5*p**2*(p - 47)*(p - 1)
Find p such that 2*p**3/7 + 82*p**2/7 + 1088*p/7 + 4608/7 = 0.
-16, -9
Factor -3*j**3 + 570*j**2 + 3*j - 570.
-3*(j - 190)*(j - 1)*(j + 1)
Factor -4*d**3 + 128*d**2 + 768*d - 36864.
-4*(d - 24)**2*(d + 16)
Determine q so that 5*q**4 - 175*q**3 + 1315*q**2 + 175*q - 1320 = 0.
-1, 1, 11, 24
Determine t so that -12*t**5 + 108*t**4 + 117*t**3 + 30*t**2 = 0.
-1/2, 0, 10
Let -4*t**4 - 792*t**3 - 43568*t**2 - 423336*t - 380556 = 0. Calculate t.
-93, -11, -1
Factor -3*q**5 - 84*q**4 - 159*q**3 - 78*q**2.
-3*q**2*(q + 1)**2*(q + 26)
Find v such that -2*v**2/5 + 48*v/5 = 0.
0, 24
Solve 4*s**3/5 + 4*s**2 - 112*s/5 - 128/5 = 0 for s.
-8, -1, 4
Determine u, given that 4*u**3 - 396*u**2 + 7260*u + 133100 = 0.
-11, 55
Factor y**3/2 - 7*y**2/2 - 105*y + 108.
(y - 18)*(y - 1)*(y + 12)/2
Find t, given that -4*t**5 - 12*t**4 - 4*t**3 + 12*t**2 + 8*t = 0.
-2, -1, 0, 1
Determine q so that -1620*q**5 - 1872*q**4 - 192*q**3 + 320*q**2 + 64*q = 0.
-2/3, -2/9, 0, 2/5
Suppose v**3/7 + 11*v**2/7 + 26*v/7 + 16/7 = 0. What is v?
-8, -2, -1
Find b such that 3*b**2 + 30*b + 75 = 0.
-5
Factor -2*c**4/5 - 4*c**3/3 - 8*c**2/15 + 16*c/15.
-2*c*(c + 2)**2*(3*c - 2)/15
Suppose -2*w**2/9 - 2*w - 28/9 = 0. What is w?
-7, -2
Factor -3*m**2/4 - 258*m.
-3*m*(m + 344)/4
Let 3*t**3/4 - 93*t**2/4 - 261*t/2 - 162 = 0. Calculate t.
-3, -2, 36
Find j, given that 2*j**5/15 - 4*j**4/5 + 4*j**3/5 + 32*j**2/15 - 2*j - 12/5 = 0.
-1, 2, 3
Suppose 2*s**5 - 12*s**4 - 1020*s**3 - 2968*s**2 - 2934*s - 972 = 0. Calculate s.
-18, -1, 27
Factor 4*t**3/7 - 26*t**2/7 + 48*t/7 - 18/7.
2*(t - 3)**2*(2*t - 1)/7
Determine l so that 2*l**2/17 + 2340*l/17 = 0.
-1170, 0
Suppose 4*g**4 - 124*g**3 - 708*g**2 - 468*g + 1296 = 0. Calculate g.
-3, 1, 36
Factor i**2 - 214*i + 4053.
(i - 193)*(i - 21)
Determine p so that 47*p**4/11 + 280*p**3/11 + 552*p**2/11 + 32*p - 16/11 = 0.
-2, 2/47
Suppose y**4 + 2*y**3 - 4*y**2 - 2*y + 3 = 0. What is y?
-3, -1, 1
Factor -2*i**2 - 224*i - 864.
-2*(i + 4)*(i + 108)
Factor -25*h**2 - 65*h + 300.
-5*(h + 5)*(5*h - 12)
Factor v**4/6 + v**3/2 - 7*v**2/6 - 5*v/2 + 3.
(v - 2)*(v - 1)*(v + 3)**2/6
Let 2*m**3/7 + 3*m**2/7 - 9*m/7 - 10/7 = 0. Calculate m.
-5/2, -1, 2
Factor 5*a**3 + 7765*a**2 - 5*a - 7765.
5*(a - 1)*(a + 1)*(a + 1553)
Let -5*i**2 + 850*i - 36125 = 0. Calculate i.
85
Solve 3*h**2 + 2823*h - 5658 = 0 for h.
-943, 2
Let -f**2 - 268*f - 17956 = 0. Calculate f.
-134
Let -60*o**4 - 64*o**3 - 4*o**2 = 0. What is o?
-1, -1/15, 0
Find o such that o**3 - 15*o**2 + 27*o + 243 = 0.
-3, 9
What is k in -k**3/2 - k**2/2 + 27*k + 72 = 0?
-6, -3, 8
Solve 4*z**2 - 8*z + 4 = 0.
1
Determine n, given that -n**2/5 + 17*n