
Let 2*y**5/13 + 12*y**4/13 + 10*y**3/13 - 24*y**2/13 = 0. Calculate y.
-4, -3, 0, 1
Solve s**2/10 - 608*s/5 + 184832/5 = 0.
608
Factor 5*t**2 - 4330*t + 937445.
5*(t - 433)**2
Factor 2*a**2/21 - 314*a/21 - 880/7.
2*(a - 165)*(a + 8)/21
Factor -5*q**5 - 1205*q**4 - 74390*q**3 - 215990*q**2 - 213605*q - 70805.
-5*(q + 1)**3*(q + 119)**2
Suppose -5*o**5 - 210*o**4 - 1140*o**3 - 2200*o**2 - 1440*o = 0. Calculate o.
-36, -2, 0
Solve -p**3/4 + 263*p**2/4 - 4290*p - 4356 = 0 for p.
-1, 132
Solve -2*n**2/5 - 4*n/5 + 14 = 0.
-7, 5
What is i in -12*i**4/5 - 1527*i**3/5 - 3393*i**2/5 - 2253*i/5 - 75 = 0?
-125, -1, -1/4
Factor -h**2/7 - 8*h.
-h*(h + 56)/7
Determine g so that 25*g**4/4 + 20*g**3 - 219*g**2 + 164*g - 32 = 0.
-8, 2/5, 4
Factor 2*q**4/5 + 2*q**3 + 14*q**2/5 + 6*q/5.
2*q*(q + 1)**2*(q + 3)/5
Solve 12*x**2 - 8456*x + 5632 = 0.
2/3, 704
Solve 4*i**5 + 140*i**4 - 308*i**3 - 428*i**2 + 608*i + 592 = 0 for i.
-37, -1, 2
Find w, given that -5*w**5 - 185*w**4 - 1910*w**3 - 2670*w**2 + 17595*w + 39015 = 0.
-17, -3, 3
Let -16*i**2 - 38*i - 12 = 0. What is i?
-2, -3/8
Suppose -f**3/5 - 7*f**2/5 - 4*f/5 + 12/5 = 0. What is f?
-6, -2, 1
Let -5*n**4/4 - 9*n**3/4 + 11*n**2/2 + 9*n - 2 = 0. Calculate n.
-2, 1/5, 2
Let -x**2/2 - 21*x/2 + 11 = 0. Calculate x.
-22, 1
Suppose 6*v**5 - 159*v**4/2 - 513*v**3/2 - 123*v**2 + 48*v = 0. What is v?
-2, -1, 0, 1/4, 16
Suppose 5*n**4/3 - 70*n**3/3 + 265*n**2/3 - 380*n/3 + 60 = 0. Calculate n.
1, 2, 9
Find q, given that -27*q**5/4 + 63*q**4/2 + 447*q**3/4 - 531*q**2/2 - 459*q - 162 = 0.
-3, -2/3, 3, 6
Solve 3*r**3/5 - 15*r**2 + 105*r - 225 = 0 for r.
5, 15
Determine g so that -2*g**4/3 - 4276*g**3/3 - 4270*g**2 + 8*g/3 + 17080/3 = 0.
-2135, -2, 1
Let 3*q**5/5 + 12*q**4 + 72*q**3/5 - 2202*q**2/5 + 5109*q/5 - 3042/5 = 0. What is q?
-13, 1, 2, 3
Determine c, given that 3*c**3/8 - 21*c**2/8 - 27*c/4 = 0.
-2, 0, 9
Factor 2*b**3/9 - 14*b**2/9 - 2*b/9 + 14/9.
2*(b - 7)*(b - 1)*(b + 1)/9
Solve 3*z**3 - 33*z**2 - 168*z - 180 = 0 for z.
-2, 15
Determine z, given that -z**2 - 6214*z - 9653449 = 0.
-3107
Factor -3*a**2 - 18*a + 1056.
-3*(a - 16)*(a + 22)
Let -3*l**3/7 - 18*l**2/7 - 33*l/7 - 18/7 = 0. Calculate l.
-3, -2, -1
Solve 27*a**4 - 141*a**3 + 246*a**2 - 156*a + 24 = 0 for a.
2/9, 1, 2
Suppose -x**2/5 + 163*x/5 = 0. Calculate x.
0, 163
Factor -4*x**4 - 60*x**3 - 296*x**2 - 528*x - 288.
-4*(x + 1)*(x + 2)*(x + 6)**2
Factor -3*v**2/2 - 984*v.
-3*v*(v + 656)/2
Solve -5*w**5/6 - 71*w**4/3 - 941*w**3/6 - 1052*w**2/3 - 850*w/3 - 200/3 = 0.
-20, -5, -2, -1, -2/5
Solve 125*t**4 - 15975*t**3 - 19290*t**2 - 7732*t - 1032 = 0 for t.
-2/5, 129
Factor a**3/10 + a**2/10 - 9*a/10 - 9/10.
(a - 3)*(a + 1)*(a + 3)/10
Find m, given that 2*m**3/9 - 16*m**2/3 + 14*m/3 + 92/9 = 0.
-1, 2, 23
Factor -7*x**3 + 8286*x**2 - 2450880*x - 700928.
-(x - 592)**2*(7*x + 2)
Factor -3*l**2/7 - 7512*l/7.
-3*l*(l + 2504)/7
Factor 2*y**3/9 + 50*y**2/9 + 82*y/3 + 38.
2*(y + 3)**2*(y + 19)/9
Factor -3*x**4/7 - 75*x**3/7 + 1584*x**2/7 + 39744*x/7.
-3*x*(x - 23)*(x + 24)**2/7
Determine w, given that 3*w**2/7 - 162*w/7 = 0.
0, 54
Factor 8*z**2 + 4*z - 4.
4*(z + 1)*(2*z - 1)
Suppose -c**3/5 - 2*c**2/5 - c/5 = 0. Calculate c.
-1, 0
Suppose -2*h**3/21 + 20*h**2/21 + 16*h/7 = 0. What is h?
-2, 0, 12
Solve i**3/6 - 25*i**2/6 + 8*i + 66 = 0.
-3, 6, 22
Factor -2*l**2 + 14*l + 36.
-2*(l - 9)*(l + 2)
Determine w so that -3*w**3 + 72*w**2 + 945*w + 2550 = 0.
-5, 34
Factor 2*i**5/5 + 1782*i**4/5 + 529254*i**3/5 + 52396146*i**2/5.
2*i**2*(i + 297)**3/5
Suppose v**5/4 + v**4/8 - 19*v**3/8 + 31*v**2/8 - 19*v/8 + 1/2 = 0. Calculate v.
-4, 1/2, 1
Find r, given that -2*r**5/7 - 60*r**4/7 - 114*r**3/7 - 8*r**2 = 0.
-28, -1, 0
Factor -4*o**4 + 20*o**3 - 24*o**2 - 16*o + 32.
-4*(o - 2)**3*(o + 1)
Solve -49*k**5/6 + 28*k**4 + 3587*k**3/6 + 873*k**2 + 1066*k/3 + 44 = 0 for k.
-6, -1, -2/7, 11
Find r, given that -3*r**2/5 + 2076*r/5 = 0.
0, 692
Factor -4*r**2 + 60*r - 144.
-4*(r - 12)*(r - 3)
Let 2*r**3/13 - 3442*r**2/13 + 1479198*r/13 + 1482642/13 = 0. What is r?
-1, 861
What is z in 2*z**2/3 + 326*z/3 - 1336/3 = 0?
-167, 4
Determine o, given that 16*o**4 - 1132*o**3 + 836*o**2 + 280*o = 0.
-1/4, 0, 1, 70
Solve -3*y**3 - 30*y**2 - 99*y - 108 = 0.
-4, -3
Factor -w**2/6 + 107*w/6 - 35.
-(w - 105)*(w - 2)/6
Factor -x**3 + 3*x**2.
-x**2*(x - 3)
Let o**4 - 12*o**3 = 0. What is o?
0, 12
Factor -4*u**2/7 + 264*u/7.
-4*u*(u - 66)/7
Factor 3*y**2/2 + 135*y + 267/2.
3*(y + 1)*(y + 89)/2
Suppose -4*c**4/5 - 12*c**3/5 + 192*c**2/5 + 208*c/5 - 384/5 = 0. What is c?
-8, -2, 1, 6
Let -6*z**2/11 - 114*z/11 + 1512/11 = 0. Calculate z.
-28, 9
Suppose 13*d**5/7 + 85*d**4/7 + 81*d**3/7 - 109*d**2/7 - 10*d = 0. Calculate d.
-5, -2, -7/13, 0, 1
Factor -b**4/3 - 5*b**3/6 + 11*b**2/6 - 2*b/3.
-b*(b - 1)*(b + 4)*(2*b - 1)/6
Factor n**2 + 580*n.
n*(n + 580)
Factor 9*l**4 + 33*l**3 - 2123*l**2 - 1425*l - 238.
(l - 14)*(l + 17)*(3*l + 1)**2
Factor -2*p**3/5 + 408*p**2/5 - 3816*p - 179776/5.
-2*(p - 106)**2*(p + 8)/5
Factor 2*o**3/3 + 2*o**2/3 - 4*o/3.
2*o*(o - 1)*(o + 2)/3
Factor s**5 + 8*s**4 + 6*s**3 - 40*s**2 + 25*s.
s*(s - 1)**2*(s + 5)**2
Factor 2*q**4/3 - 862*q**3/3 + 858*q**2 - 2570*q/3 + 856/3.
2*(q - 428)*(q - 1)**3/3
Let -3*n**2 - 1800*n + 1803 = 0. Calculate n.
-601, 1
Factor -h**2/4 - 25*h/4 + 111.
-(h - 12)*(h + 37)/4
Find r, given that -r**4/8 + 3*r**3/8 - 3*r**2/8 + r/8 = 0.
0, 1
Find o, given that -5*o**3/2 + 7805*o**2 - 31205*o/2 + 7800 = 0.
1, 3120
Factor 3*y**4/4 + 21*y**3 - 597*y**2/4 + 255*y/2.
3*y*(y - 5)*(y - 1)*(y + 34)/4
Let r**3/6 - 58*r**2 + 5046*r = 0. Calculate r.
0, 174
Determine k, given that -k**3/2 + 6*k**2 + 15*k/2 - 13 = 0.
-2, 1, 13
Find n, given that n**5/6 + 133*n**4/6 + 990*n**3 + 45496*n**2/3 + 42592*n/3 = 0.
-44, -1, 0
Find x such that x**5/6 + 2*x**4/3 - 2*x**3/3 - 17*x**2/3 - 15*x/2 - 3 = 0.
-3, -2, -1, 3
Factor 20*o**2 + 1216*o - 244.
4*(o + 61)*(5*o - 1)
Suppose 8*h**2 + 30*h - 8 = 0. What is h?
-4, 1/4
Factor -v**2 + 19*v + 560.
-(v - 35)*(v + 16)
Solve 5*i**5 + 70*i**4 + 155*i**3 - 710*i**2 - 160*i + 640 = 0 for i.
-8, -1, 1, 2
Factor -o**3 - 5*o**2 + 17*o + 21.
-(o - 3)*(o + 1)*(o + 7)
Factor -c**5 - 7*c**4 - 19*c**3 - 25*c**2 - 16*c - 4.
-(c + 1)**3*(c + 2)**2
Factor 2*o**2 + 420*o + 22050.
2*(o + 105)**2
Factor 2*p**4 + 6*p**3 - 6*p**2 - 14*p + 12.
2*(p - 1)**2*(p + 2)*(p + 3)
Let 2*m**2/9 - 3652*m/9 - 7312/9 = 0. Calculate m.
-2, 1828
Factor -3*r**2/5 - 2829*r/5.
-3*r*(r + 943)/5
Let -49*l**4/5 + 49*l**3/5 + 484*l**2/5 + 404*l/5 + 48/5 = 0. Calculate l.
-2, -6/7, -1/7, 4
What is q in -2*q**3/7 + 6*q**2/7 - 8/7 = 0?
-1, 2
Solve -3*u**3/4 + 27*u**2/2 + 405*u/4 + 162 = 0 for u.
-3, 24
Factor -33*k**3 - 72*k**2 - 12*k.
-3*k*(k + 2)*(11*k + 2)
Suppose p**2/2 - 5002*p + 12510002 = 0. What is p?
5002
Find j, given that -3*j**5 - 9*j**4 + 57*j**3 + 81*j**2 - 270*j = 0.
-5, -3, 0, 2, 3
Factor -3*a**2 + 1344*a + 8172.
-3*(a - 454)*(a + 6)
Factor -y**3/3 - 24*y**2 - 575*y - 13750/3.
-(y + 22)*(y + 25)**2/3
Find o, given that o**4 + 5*o**3 + 7*o**2 + 3*o = 0.
-3, -1, 0
Factor 2*u**5 + 18*u**4 + 14*u**3 - 90*u**2 + 56*u.
2*u*(u - 1)**2*(u + 4)*(u + 7)
Find p such that 2*p**5/15 - 128*p**4/15 + 50*p**3/3 - 124*p**2/15 = 0.
0, 1, 62
Factor -12615*d**4/2 + 12035*d**3 - 30965*d**2/6 - 1660*d/3 - 40/3.
-5*(d - 1)**2*(87*d + 4)**2/6
Factor -2*o**3/5 + 2*o**2 + 18*o/5 - 18.
-2*(o - 5)*(o - 3)*(o + 3)/5
Factor -25*m**4 + 240*m**3 - 485*m**2 + 210*m.
-5*m*(m - 7)*(m - 2)*(5*m - 3)
Determine y, given that y**3/5 + 6*y**2/5 + 11*y/5 + 6/5 = 0.
-3, -2, -1
Let -3*q**4 - 276*q**3 + 846*q**2 - 852*q + 285 = 0. Calculate q.
-95, 1
Find y such that 20*y**4 + 696*y**3 + 6288*y**2 + 3400*y - 10404 = 0.
-17, -9/5, 1
Factor -3*w**3 + 1797*w**2 + 3606*w.
-3*w*(w - 601)*(w + 2)
Factor 21*d**2 - 876*d - 252.
3*(d - 42)*(7*d + 2)
Determine r so that -2*r**3/7 + 76*r**2/7 + 1280*r/7 - 53248/7 = 0.
-26, 32
Factor 4*c**5 + 28*c**4 + 68*c**3 + 68*c**2 + 24*c.
4*c*(c + 1)**2*(c + 2)*(c + 3)
Suppose 4*f**4 - 18*f**3 - 2*f**2 + 36*f + 16 = 0. Calculate f.
-1, -1/2, 2, 4
Factor -3*z**2 - 408*z - 13872.
-3*(z + 68)**2
Suppose -d**2 + 142*d - 5041 = 0. What is d?
71
What is v in -v**4/6 - 3*v**3/2 + 11*v**2/3 = 0?
-11, 0, 2
Factor -n**4/8 + 5*n**3/8 + 3*n**2/8 - 17*n/8 + 5/4.
-(n - 5)*(n - 1)**2*(n + 2)/8
Det