)
Find n such that 3*n**5/2 + 747*n**4/2 + 3621*n**3 + 8637*n**2 + 15795*n/2 + 5019/2 = 0.
-239, -7, -1
Solve -2*w**3/5 + 92*w**2/5 - 170*w - 1000 = 0 for w.
-4, 25
Determine q so that 3*q**4 + 84*q**3 + 15*q**2 - 8094*q + 25992 = 0.
-19, 4, 6
Factor -12*s**2 - 10480*s - 3492.
-4*(s + 873)*(3*s + 1)
Solve i**5 - i**4 - 5*i**3 + 5*i**2 + 4*i - 4 = 0 for i.
-2, -1, 1, 2
Factor -u**3 - 10*u**2 + 63*u + 648.
-(u - 8)*(u + 9)**2
Find y, given that y**2/2 - 620*y + 192200 = 0.
620
Factor -4*v**2 + 76*v - 360.
-4*(v - 10)*(v - 9)
Solve 15*n**4 - 920*n**3 - 620*n**2 = 0 for n.
-2/3, 0, 62
Suppose u**5/3 - u**4/3 - u**3 + 5*u**2/3 - 2*u/3 = 0. What is u?
-2, 0, 1
Find d, given that 159*d**3/7 + 1254*d**2/7 + 2400*d/7 - 288/7 = 0.
-4, 6/53
Suppose -5*v**3 + 105*v**2 + 1205*v - 1305 = 0. What is v?
-9, 1, 29
Factor -15*n**2 - 39*n/2 + 21.
-3*(n + 2)*(10*n - 7)/2
Suppose k**3/3 - 7*k**2/3 + 4*k/3 + 4 = 0. Calculate k.
-1, 2, 6
Factor -2*c**5/7 - 2*c**4 - 32*c**3/7 - 16*c**2/7 + 32*c/7 + 32/7.
-2*(c - 1)*(c + 2)**4/7
Factor 3*r**4 - 6*r**3 - 3*r**2 + 6*r.
3*r*(r - 2)*(r - 1)*(r + 1)
Factor -3*v**2/4 + 9*v + 567/4.
-3*(v - 21)*(v + 9)/4
Let 2*d**4 - 10*d**3 - 6*d**2 + 26*d + 20 = 0. Calculate d.
-1, 2, 5
What is l in -2*l**3 - 76*l**2 + 2*l + 76 = 0?
-38, -1, 1
Solve -x**2/3 + 44*x/3 + 92/3 = 0.
-2, 46
Factor -i**2/6 - 11*i/6 + 2.
-(i - 1)*(i + 12)/6
Determine c so that 27*c**4/7 - 102*c**3/7 - 159*c**2/7 - 30*c/7 = 0.
-1, -2/9, 0, 5
Factor 2*j**3/17 - 12*j**2 + 5400*j/17 - 10000/17.
2*(j - 50)**2*(j - 2)/17
What is d in -15*d**2 - 40*d = 0?
-8/3, 0
Factor -p**3/2 + 167*p**2/10 + 142*p/5 - 14.
-(p - 35)*(p + 2)*(5*p - 2)/10
Determine g, given that 4*g**5 - 44*g**4/3 - 44*g**3 + 716*g**2/3 - 280*g + 96 = 0.
-4, 2/3, 1, 3
Determine k so that 4*k**2/5 - 19*k - 24/5 = 0.
-1/4, 24
What is w in -3*w**3/5 + 21*w**2 + 468*w/5 = 0?
-4, 0, 39
Let -a**4/9 + 23*a**3/3 - 120*a**2 - 432*a = 0. Calculate a.
-3, 0, 36
Determine s, given that s**3 + 27*s**2 + 215*s + 429 = 0.
-13, -11, -3
Factor 2*p**5/3 - 7*p**4/3 + 8*p**3/3 - p**2.
p**2*(p - 1)**2*(2*p - 3)/3
Factor -2*g**2/23 + 194*g/23 - 1892/23.
-2*(g - 86)*(g - 11)/23
Factor -4*o**3/9 + 64*o/3 + 512/9.
-4*(o - 8)*(o + 4)**2/9
Factor 14*c**4 - 24*c**3 - 8*c**2.
2*c**2*(c - 2)*(7*c + 2)
Factor 243*a**3 - 918*a**2 + 1056*a - 384.
3*(a - 2)*(9*a - 8)**2
Suppose -9*j**5 - 102*j**4 - 159*j**3 + 354*j**2 + 780*j + 216 = 0. Calculate j.
-9, -2, -1/3, 2
Let 3*z**4 + 6*z**3 - 33*z**2 - 36*z = 0. What is z?
-4, -1, 0, 3
Find a, given that -2*a**3/13 + 12264*a**2/13 + 24534*a/13 + 12268/13 = 0.
-1, 6134
Determine h so that -4*h**5 + 12*h**4 - 16*h**2 = 0.
-1, 0, 2
Factor -r**4/4 - 21*r**3/4 + 49*r**2/4 + 69*r/4.
-r*(r - 3)*(r + 1)*(r + 23)/4
Factor -t**4 - 2*t**3 + 8*t**2.
-t**2*(t - 2)*(t + 4)
Factor -4*v**3 - 60*v**2 + 1408*v - 1344.
-4*(v - 12)*(v - 1)*(v + 28)
Find s such that -92*s**2 - 29*s - 3/2 = 0.
-1/4, -3/46
Solve -125*d**2 + 145*d - 20 = 0.
4/25, 1
Find a, given that -2*a**4/19 - 8*a**3/19 + 4*a**2/19 + 24*a/19 - 18/19 = 0.
-3, 1
Factor 4*a**4 + 72*a**3 - 12*a**2 - 224*a - 144.
4*(a - 2)*(a + 1)**2*(a + 18)
Let -2*n**3 - 566*n**2 = 0. What is n?
-283, 0
Factor 4*k**3 + 124*k**2 + 544*k + 624.
4*(k + 2)*(k + 3)*(k + 26)
What is b in 3*b**3 - 21*b**2 + 48*b - 36 = 0?
2, 3
Suppose -k**3 + 4*k = 0. Calculate k.
-2, 0, 2
Suppose 2*v**3 + 40*v**2 - 184*v + 192 = 0. Calculate v.
-24, 2
Factor -3*x**3 - 531*x**2 - 1053*x - 525.
-3*(x + 1)**2*(x + 175)
Determine o so that -9*o**5/7 - 39*o**4/7 + 39*o**3/7 + 39*o**2/7 - 30*o/7 = 0.
-5, -1, 0, 2/3, 1
Let 16*b**4/5 + 1816*b**3/5 + 2697*b**2/5 + 1008*b/5 = 0. Calculate b.
-112, -3/4, 0
Let -3*i**2 - 108*i + 111 = 0. What is i?
-37, 1
Factor 2*a**2 + 38*a + 36.
2*(a + 1)*(a + 18)
Factor 4*v**4 + 81*v**3 - 64*v**2 - 21*v.
v*(v - 1)*(v + 21)*(4*v + 1)
Find p such that 3*p**2/7 - 186*p/7 = 0.
0, 62
Factor 2*l**3 + 48*l**2 - 1152*l + 5120.
2*(l - 8)**2*(l + 40)
Determine y so that 5*y**4 - 90*y**3 - 95*y**2 = 0.
-1, 0, 19
Let -2*m**4 - 2264*m**3/9 - 8128*m**2 - 40672*m/3 + 30752/9 = 0. Calculate m.
-62, -2, 2/9
Let -3*v**3/8 + 483*v**2/8 - 2817*v/8 + 4185/8 = 0. What is v?
3, 155
Factor -3*m**3 - 3360*m**2 + 3363*m.
-3*m*(m - 1)*(m + 1121)
Factor 2*z**2/7 - 240*z/7 + 7200/7.
2*(z - 60)**2/7
Solve -15*l**5 - 410*l**4 - 2655*l**3 + 2100*l**2 + 980*l = 0 for l.
-14, -1/3, 0, 1
Solve -4*o**3 + 724*o**2 + 15680*o + 80400 = 0 for o.
-10, 201
Factor 2*l**2 - 344*l/9 + 616/9.
2*(l - 2)*(9*l - 154)/9
Factor -2*m**2/5 + 82*m/5.
-2*m*(m - 41)/5
Factor -4*o**3 - 36*o**2 - 72*o.
-4*o*(o + 3)*(o + 6)
Factor -2*s**2 + 984*s.
-2*s*(s - 492)
Factor 2*l**2 + 4*l - 30.
2*(l - 3)*(l + 5)
Factor c**3/2 + 49*c**2/2 + 24*c.
c*(c + 1)*(c + 48)/2
Solve h**3/6 - 118*h**2/3 + 4719*h/2 - 4563 = 0 for h.
2, 117
What is z in -2*z**5/17 + 6*z**4/17 + 4*z**3/17 - 24*z**2/17 + 16*z/17 = 0?
-2, 0, 1, 2
Solve -20*v**4 - 65*v**3 + 185*v**2 + 50*v = 0.
-5, -1/4, 0, 2
Let 4*y**5 - 72*y**4 + 324*y**3 = 0. Calculate y.
0, 9
Factor -2*p**2 - 160*p - 462.
-2*(p + 3)*(p + 77)
Factor 4*q**5 + 52*q**4 + 168*q**3 - 280*q**2 - 1900*q - 1500.
4*(q - 3)*(q + 1)*(q + 5)**3
Determine o, given that 4*o**4 - 24*o**3 + 32*o**2 + 24*o - 36 = 0.
-1, 1, 3
Suppose 1024*a**4/7 - 21888*a**3 + 1091664*a**2 - 18148914*a = 0. Calculate a.
0, 399/8
Solve d**3/3 + 52*d**2/3 + 17*d = 0.
-51, -1, 0
Let -2*s**2/9 + 2032*s/9 - 516128/9 = 0. What is s?
508
Suppose -5*z**2 - 840*z + 2565 = 0. Calculate z.
-171, 3
Determine c so that c**4/2 - 7*c**3 + 45*c**2/2 - 26*c + 10 = 0.
1, 2, 10
Let -3*a**4/2 + 21*a**3/2 - 39*a**2/2 - 9*a/2 + 27 = 0. What is a?
-1, 2, 3
Solve 3*h**2 + 126*h + 1323 = 0 for h.
-21
Factor -44*y**2/7 - 4*y + 16/7.
-4*(y + 1)*(11*y - 4)/7
Factor 35*u**3 - 60*u**2 - 20*u.
5*u*(u - 2)*(7*u + 2)
Suppose 4*t**5 - 33*t**4 - 28*t**3 + 9*t**2 = 0. Calculate t.
-1, 0, 1/4, 9
Factor -u**5/4 - 47*u**4/4 - 132*u**3 + 144*u**2.
-u**2*(u - 1)*(u + 24)**2/4
Let 4*g**5 - 8*g**4 - 8*g**3 + 32*g**2 - 28*g + 8 = 0. Calculate g.
-2, 1
Solve -144*r**4 + 816*r**3 + 2588*r**2 + 792*r + 64 = 0.
-2, -1/6, 8
Find j such that -2*j**3/13 + 10*j**2/13 + 154*j/13 - 882/13 = 0.
-9, 7
Factor -4*k**3/3 - 2*k**2/3.
-2*k**2*(2*k + 1)/3
Suppose 4*n**4/5 + 218*n**3/5 - 562*n**2/5 + 454*n/5 - 114/5 = 0. What is n?
-57, 1/2, 1
Let -25538*b**2/7 + 904*b/7 - 8/7 = 0. What is b?
2/113
Factor -h**3/4 - 2841*h**2/2 - 2690427*h - 1698556246.
-(h + 1894)**3/4
Solve 4*v**2 - 56*v - 60 = 0 for v.
-1, 15
Factor -s**4/3 - 4*s**3/3 - s**2 + 4*s/3 + 4/3.
-(s - 1)*(s + 1)*(s + 2)**2/3
Find w, given that -5*w**4/7 + 9*w**3/7 + w**2 - 9*w/7 - 2/7 = 0.
-1, -1/5, 1, 2
Factor -2*z**4/9 - 8*z**3/9 + 22*z**2/9 - 4*z/3.
-2*z*(z - 1)**2*(z + 6)/9
Factor t**5/8 + 9*t**4/8 + 5*t**3/4 - 9*t**2/2 - 7*t.
t*(t - 2)*(t + 2)**2*(t + 7)/8
Find r, given that 4*r**3/5 - 8*r**2 = 0.
0, 10
Suppose 2*s**4/3 - 14*s**3 + 274*s**2/3 - 186*s + 108 = 0. What is s?
1, 2, 9
Let 4*c**2/5 - 73*c/5 + 333/5 = 0. What is c?
9, 37/4
Factor -5*k**2 + 50*k.
-5*k*(k - 10)
Factor -m**2/3 - 23*m/3 + 26.
-(m - 3)*(m + 26)/3
Solve 3*w**3 + 15*w**2 - 150*w = 0.
-10, 0, 5
Factor 2*d**4/7 - 6*d**3/7 + 2*d**2/7 + 6*d/7 - 4/7.
2*(d - 2)*(d - 1)**2*(d + 1)/7
Factor -2*p**5/11 - 2*p**4 - 78*p**3/11 - 90*p**2/11.
-2*p**2*(p + 3)**2*(p + 5)/11
Factor -5*h**2 + 270*h - 3645.
-5*(h - 27)**2
Factor m**3 - 24*m**2.
m**2*(m - 24)
Determine b, given that 961*b**4/5 + 15128*b**3/5 + 57552*b**2/5 - 15616*b/5 + 1024/5 = 0.
-8, 4/31
Factor -c**2/3 - 314*c/3 - 313/3.
-(c + 1)*(c + 313)/3
What is n in n**4 + 9*n**3 + 28*n**2 + 36*n + 16 = 0?
-4, -2, -1
Let 5*x**2 - 180*x = 0. What is x?
0, 36
Let -2*y**3/5 - 28*y**2/5 - 118*y/5 - 28 = 0. What is y?
-7, -5, -2
Let -5*f**2 + 470*f - 11045 = 0. What is f?
47
Suppose -s**5/3 + 22*s**4 - 1334*s**3/3 + 2152*s**2 + 9909*s + 7290 = 0. Calculate s.
-2, -1, 15, 27
Determine j, given that 2*j**5 + 8*j**4 - 186*j**3 + 592*j**2 - 416*j = 0.
-13, 0, 1, 4
Find p, given that -5*p**4 + 710*p**3 - 34005*p**2 + 624800*p - 3872000 = 0.
16, 55
Factor -4*m**2 - 864*m + 868.
-4*(m - 1)*(m + 217)
Factor -5*m**4/4 + 15*m**3/2 - 10*m**2.
-5*m**2*(m - 4)*(m - 2)/4
Suppose 65*f**2 + 4170*f + 640 = 0. What is f?
-64, -2/13
What is b in -2*b**2 - 452*b - 25538 = 0?
-113
Suppose -1922*a**2 - 1612*a - 338 = 0. Calculate a.
-13