+ 4)
Suppose -32*y**3/5 + 784*y**2/5 - 4802*y/5 = 0. What is y?
0, 49/4
Solve 486*c**5/11 - 378*c**4/11 - 6384*c**3/11 + 968*c**2 - 3776*c/11 + 384/11 = 0 for c.
-4, 2/9, 4/3, 3
Solve 3*h**2/4 - 45*h/4 - 51/2 = 0.
-2, 17
Determine g so that -g**5/12 + 11*g**4/12 - 17*g**3/12 - 11*g**2/12 + 3*g/2 = 0.
-1, 0, 1, 2, 9
Factor 2*y**3 + 630*y**2 + 66150*y + 2315250.
2*(y + 105)**3
Determine c so that -4*c**5/5 + 96*c**4/5 - 8*c**3 - 240*c**2 + 44*c/5 + 1104/5 = 0.
-3, -1, 1, 4, 23
Suppose 45*s**2 + 20*s - 220 = 0. What is s?
-22/9, 2
Factor 4*m**3/9 + 29872*m**2/9 + 55771024*m/9.
4*m*(m + 3734)**2/9
What is p in -2*p**3/3 + 38*p/3 + 20 = 0?
-3, -2, 5
Factor 2*n**2/19 + 48*n/19 + 46/19.
2*(n + 1)*(n + 23)/19
Solve 4*f**4/3 + 356*f**3/3 = 0.
-89, 0
Solve -k**3/8 + 9*k**2/8 - 23*k/8 + 15/8 = 0.
1, 3, 5
Factor -65*w**4/4 + 125*w**3/4 + 5*w**2/2.
-5*w**2*(w - 2)*(13*w + 1)/4
Find p such that 396*p**3 + 14577*p**2 - 2781*p - 222 = 0.
-37, -2/33, 1/4
Factor -450*s**4 + 1320*s**3 - 8*s**2 - 1408*s - 512.
-2*(s - 2)**2*(15*s + 8)**2
Suppose k**5/4 + 7*k**4 + 53*k**3/4 + 13*k**2/2 = 0. Calculate k.
-26, -1, 0
Solve -5*x**4 + 60*x**3 + 15*x**2 - 190*x + 120 = 0 for x.
-2, 1, 12
What is l in 2*l**5/5 + 26*l**4/5 - 1686*l**3/5 + 3286*l**2/5 - 1628*l/5 = 0?
-37, 0, 1, 22
Find u such that -3*u**4/4 + 99*u**3/4 - 333*u**2/4 - 435*u/4 = 0.
-1, 0, 5, 29
Solve -3*m**2 - 171*m + 2010 = 0.
-67, 10
Let -119*o**2/6 - 40*o - 2/3 = 0. What is o?
-2, -2/119
Factor -4*a**3 - 80*a**2.
-4*a**2*(a + 20)
Factor -3*k**3 - 195*k**2.
-3*k**2*(k + 65)
Suppose 2*w**4/3 + 5*w**3/3 - 5*w/3 - 2/3 = 0. What is w?
-2, -1, -1/2, 1
Factor 3*h**4/8 + 735*h**3/2 + 121014*h**2 + 13699368*h + 102036672.
3*(h + 8)*(h + 324)**3/8
Solve -i**2 + 225*i + 684 = 0.
-3, 228
Factor -q**5/10 + q**4/10 + 11*q**3/10 - 29*q**2/10 + 13*q/5 - 4/5.
-(q - 2)*(q - 1)**3*(q + 4)/10
Solve 3*a**5 + 585*a**4 + 1161*a**3 + 579*a**2 = 0.
-193, -1, 0
Let w**5/3 + 23*w**4 - 597*w**3 + 9031*w**2/3 + 3630*w = 0. Calculate w.
-90, -1, 0, 11
Factor 2*f**2/11 + 58*f/11 + 416/11.
2*(f + 13)*(f + 16)/11
Find r such that 5*r**4 - 815*r**3 - 2480*r**2 - 1660*r = 0.
-2, -1, 0, 166
Factor 2*k**3 - 168*k**2 + 3690*k - 6724.
2*(k - 41)**2*(k - 2)
Factor 145*g**2/3 - 532*g/9 + 4/3.
(5*g - 6)*(87*g - 2)/9
Factor 2*y**4 + 27*y**3/2 + 17*y**2/2 - 3*y.
y*(y + 1)*(y + 6)*(4*y - 1)/2
Let 3*q**4/5 - 57*q**3/5 + 327*q**2/5 - 747*q/5 + 594/5 = 0. Calculate q.
2, 3, 11
Factor -2*m**2/7 + 370*m/7 + 748/7.
-2*(m - 187)*(m + 2)/7
Factor -5*n**4 + 30*n**3 - 55*n**2 + 30*n.
-5*n*(n - 3)*(n - 2)*(n - 1)
Determine l so that -l**2/3 + 8*l/3 + 35 = 0.
-7, 15
Factor 3*z**2 + 222*z - 225.
3*(z - 1)*(z + 75)
Factor 5*r**3 - 225*r**2 + 640*r - 420.
5*(r - 42)*(r - 2)*(r - 1)
Factor -3*p**4 - 939*p**3 - 93195*p**2 - 2388081*p + 54391218.
-3*(p - 14)*(p + 109)**3
Find c, given that -28*c**2 - 128*c = 0.
-32/7, 0
Suppose -5*f**4 - 20*f**3 + 85*f**2 + 120*f - 180 = 0. What is f?
-6, -2, 1, 3
Find w such that 2*w**2/7 - 4*w - 64/7 = 0.
-2, 16
Find z, given that -25*z**2/6 - 70*z/3 + 10 = 0.
-6, 2/5
Determine k so that 4*k**3 - 64*k**2 + 276*k - 360 = 0.
3, 10
Solve -5*x**4 - 620*x**3 - 25830*x**2 - 369820*x - 344605 = 0 for x.
-41, -1
Find h, given that h**2 - 38*h - 215 = 0.
-5, 43
Find v such that -v**3/5 - 31*v**2/5 - 264*v/5 - 684/5 = 0.
-19, -6
Factor f**4/2 + 28*f**3 + 390*f**2 - 112*f - 1568.
(f - 2)*(f + 2)*(f + 28)**2/2
Factor 2*v**3/11 - 104*v**2 - 1146*v/11.
2*v*(v - 573)*(v + 1)/11
Factor 2*v**3/5 + 48*v**2/5 - 218*v/5 + 168/5.
2*(v - 3)*(v - 1)*(v + 28)/5
Factor -3*r**2/5 + 366*r/5 - 351.
-3*(r - 117)*(r - 5)/5
Suppose -2*z**5/15 + 166*z**4/15 - 3524*z**3/15 + 3196*z**2/15 + 3526*z/15 - 3362/15 = 0. Calculate z.
-1, 1, 41
Factor -20*j**2/9 + 64*j/9 - 4/3.
-4*(j - 3)*(5*j - 1)/9
Find n such that n**3/2 + 463*n**2/6 + 17941*n/6 + 5929/6 = 0.
-77, -1/3
Factor m**4 + 12*m**3 + 3*m**2 - 208*m + 192.
(m - 3)*(m - 1)*(m + 8)**2
Factor 2*x**3/3 - 12*x**2 + 22*x/3 + 68.
2*(x - 17)*(x - 3)*(x + 2)/3
Factor -c**2/2 + 29*c/2 - 90.
-(c - 20)*(c - 9)/2
Find m such that 5*m**2 - 140*m - 1020 = 0.
-6, 34
Factor -32*r**4/9 + 2*r**2/9.
-2*r**2*(4*r - 1)*(4*r + 1)/9
Factor -8*k**3/3 + 5266*k**2/3 - 867244*k/3 + 216482/3.
-2*(k - 329)**2*(4*k - 1)/3
Factor -o**2 + 34*o - 289.
-(o - 17)**2
Suppose v**2/2 - 5230*v + 13676450 = 0. What is v?
5230
Let z**2/3 + 158*z/3 + 157/3 = 0. Calculate z.
-157, -1
Factor t**5 - 2*t**4 - t**3 + 2*t**2.
t**2*(t - 2)*(t - 1)*(t + 1)
What is w in w**2/5 + 171*w/5 + 338/5 = 0?
-169, -2
Factor -3*w**2 - 3207*w - 9594.
-3*(w + 3)*(w + 1066)
Determine b so that -3*b**4 - 1083*b**3 - 2157*b**2 - 1077*b = 0.
-359, -1, 0
Determine v, given that 3*v**5 - 154*v**4 + 2652*v**3 - 15606*v**2 + 4913*v = 0.
0, 1/3, 17
Solve -3*f**2 + 309*f - 3510 = 0 for f.
13, 90
Determine s so that 3*s**3/7 + 9*s**2/7 - 18*s/7 - 24/7 = 0.
-4, -1, 2
Determine w so that 10*w**5 + 85*w**4 + 25*w**3 - 125*w**2 - 35*w + 40 = 0.
-8, -1, 1/2, 1
Find f, given that -3*f**2/4 - 105*f - 3675 = 0.
-70
Solve -3*y**5 + 101*y**4 + 70*y**3 - 1164*y**2 - 2024*y - 544 = 0.
-2, -1/3, 4, 34
Determine b, given that -b**2 - 3884*b - 3771364 = 0.
-1942
Factor -196*m**2/5 - 6832*m/5 - 59536/5.
-4*(7*m + 122)**2/5
Factor -3*b**5/4 - 51*b**4/4 + 171*b**3/4 - 177*b**2/4 + 15*b.
-3*b*(b - 1)**3*(b + 20)/4
Determine j so that 75*j**5 + 315*j**4 - 63*j**3 - 795*j**2 + 576*j - 108 = 0.
-3, 2/5, 1
Suppose -3*c**3/8 + 45*c**2/2 - 999*c/8 + 729/4 = 0. Calculate c.
3, 54
Let -72*m**4 + 21*m**3 + 90*m**2 - 21*m - 18 = 0. Calculate m.
-1, -3/8, 2/3, 1
What is o in 3*o**5 + 51*o**4 - 318*o**3 + 264*o**2 = 0?
-22, 0, 1, 4
Factor h**2/2 + 9*h.
h*(h + 18)/2
Find g such that -12*g**4 + 44*g**3 + 976*g**2 + 2624*g + 768 = 0.
-4, -1/3, 12
Factor -2*s**5 + 24*s**4 - 88*s**3 + 140*s**2 - 102*s + 28.
-2*(s - 7)*(s - 2)*(s - 1)**3
Determine f so that -3*f**3/2 - 9*f**2/2 + 315*f/2 + 1617/2 = 0.
-7, 11
Factor 2*f**2 + 68*f.
2*f*(f + 34)
Let 36*i**3 + 291*i**2 - 291*i + 54 = 0. What is i?
-9, 1/4, 2/3
Factor -2*j**3/3 + 16*j**2/3 + 130*j/3.
-2*j*(j - 13)*(j + 5)/3
Factor 3*j**4 - 72*j**3 - 2154*j**2 - 12528*j - 10449.
3*(j - 43)*(j + 1)*(j + 9)**2
Factor 3*a**3 - 12*a**2 + 9*a.
3*a*(a - 3)*(a - 1)
Factor d**2/2 - 11*d/2 - 13.
(d - 13)*(d + 2)/2
Factor -4*a**5 + 28*a**4 + 32*a**3.
-4*a**3*(a - 8)*(a + 1)
Factor -z**2 - 1026*z - 263169.
-(z + 513)**2
Find p such that 5*p**5/2 + 3*p**4/2 - p**3 = 0.
-1, 0, 2/5
Determine d so that -5*d**2/3 + 20*d + 140/3 = 0.
-2, 14
Factor -l**2/4 - 45*l/4 - 11.
-(l + 1)*(l + 44)/4
Factor -2*c**2/17 + 12*c/17 + 22.
-2*(c - 17)*(c + 11)/17
What is d in -4*d**2 - 19384*d - 23483716 = 0?
-2423
Solve -2*t**2/17 - 2604*t/17 - 847602/17 = 0.
-651
Find c, given that -2*c**4 - 56*c**3 - 332*c**2 + 840*c - 450 = 0.
-15, 1
Solve -2*n**2 - 310*n - 308 = 0.
-154, -1
What is q in q**5/6 - 127*q**4/6 = 0?
0, 127
Factor 2*v**4 + 50*v**3 + 196*v**2 - 1448*v + 1680.
2*(v - 2)**2*(v + 14)*(v + 15)
Factor 2*k**2 + 88*k + 390.
2*(k + 5)*(k + 39)
Factor a**4/7 - 1392*a**3/7 + 485806*a**2/7 - 967440*a/7 + 483025/7.
(a - 695)**2*(a - 1)**2/7
Factor 2*b**3/3 + 440*b**2/3 + 862*b + 1284.
2*(b + 3)**2*(b + 214)/3
Determine n, given that 9*n**4/11 - 393*n**3/11 - 140*n**2/11 + 348*n/11 + 16 = 0.
-2/3, 1, 44
Find q, given that q**5 + q**4 - 5*q**3 - 5*q**2 + 4*q + 4 = 0.
-2, -1, 1, 2
Determine x so that -3*x**3 + 534*x**2 = 0.
0, 178
Factor -p**5 + 256*p**4 + 515*p**3 + 258*p**2.
-p**2*(p - 258)*(p + 1)**2
Factor 4*k**3 - 2080*k**2.
4*k**2*(k - 520)
Solve 4*q**4/5 - 8*q**2 + 36/5 = 0.
-3, -1, 1, 3
What is a in -a**5/3 - 6*a**4 - 11*a**3 - 16*a**2/3 = 0?
-16, -1, 0
Determine f so that -3*f**4/7 - 402*f**3/7 + 408*f**2/7 + 402*f/7 - 405/7 = 0.
-135, -1, 1
Factor 2*q**5 + 6*q**4 + 4*q**3.
2*q**3*(q + 1)*(q + 2)
Suppose n**4/3 - 2*n**2/3 + 1/3 = 0. What is n?
-1, 1
Factor 81*f**4/5 + 36*f**3/5 + 4*f**2/5.
f**2*(9*f + 2)**2/5
Factor -4*z**3/5 + 4*z**2 + 56*z/5.
-4*z*(z - 7)*(z + 2)/5
Factor -a**3 - 3*a**2 + 6*a + 8.
-(a - 2)*(a + 1)*(a + 4)
Solve -5*i**3 - 10*i**2 = 0.
-2, 0
Solve c**2/2 + 9*c/2 - 5 = 0 for c.
-10, 1
Factor -2*r**2/7 - 206*r/7 - 204/7.
-2*(r + 1)*(r + 102)/7
Factor -m**4/4 + m**3 - 3*m**2/4 - m + 1.
-(m - 2)**2*(m - 1)*(m + 1)/4
Suppose 27*w**4 - 102*w**3 + 3*w**2 + 168*w + 36 = 0. What is w?
-1,