*2 - 44*o = 0?
-22, -1, 0
Let 45*n**5 + 125*n**4 + 105*n**3 + 15*n**2 - 10*n = 0. Calculate n.
-1, 0, 2/9
Suppose h**4 + 341*h**3 - 5648*h**2 + 22848*h = 0. What is h?
-357, 0, 8
Factor 2*j**3 - 240*j**2 + 6144*j + 65536.
2*(j - 64)**2*(j + 8)
Determine x, given that -4*x**3 + 288*x**2 - 1104*x + 1088 = 0.
2, 68
Factor -5*j**5 + 60*j**4 - 260*j**3 + 480*j**2 - 320*j.
-5*j*(j - 4)**2*(j - 2)**2
Factor k**5 - 11*k**4 + 39*k**3 - 45*k**2.
k**2*(k - 5)*(k - 3)**2
Factor -5*u**3/2 + 125*u**2/2 - 280*u - 1470.
-5*(u - 14)**2*(u + 3)/2
Find c, given that -c**3/9 - 16*c**2/9 - 28*c/9 = 0.
-14, -2, 0
Let 5*u**5 - 10*u**4 - 100*u**3 - 120*u**2 = 0. Calculate u.
-2, 0, 6
Let d**3/4 - 11*d**2/4 - d/4 + 11/4 = 0. Calculate d.
-1, 1, 11
Find d such that 15*d**3/2 + 325*d**2 + 845*d/2 + 105 = 0.
-42, -1, -1/3
Determine s, given that s**4 + 36*s**3 + 277*s**2 + 450*s + 208 = 0.
-26, -8, -1
Factor -3*i**3 + 30*i**2 - 72*i.
-3*i*(i - 6)*(i - 4)
Factor p**2/2 - 3*p/2 - 9.
(p - 6)*(p + 3)/2
Factor y**4/3 - 2*y**3/3 - y**2.
y**2*(y - 3)*(y + 1)/3
Determine b, given that -36*b**5 - 244*b**4 + 1028*b**3 - 1260*b**2 + 592*b - 80 = 0.
-10, 2/9, 1
Factor -2*z**3/9 - 1150*z**2/9 + 2306*z/9 - 1154/9.
-2*(z - 1)**2*(z + 577)/9
Determine y so that -y**4/11 + 20*y**3/11 - 54*y**2/11 + 52*y/11 - 17/11 = 0.
1, 17
Factor q**3/3 + 6*q**2 - 109*q/3 + 46.
(q - 3)*(q - 2)*(q + 23)/3
Factor -3*d**3/2 - 21*d**2 + 48*d.
-3*d*(d - 2)*(d + 16)/2
Factor -5*y**3 + 17775*y**2 - 15806415*y + 15788645.
-5*(y - 1777)**2*(y - 1)
Factor -n**3/2 + 37*n**2/2 + 20*n - 38.
-(n - 38)*(n - 1)*(n + 2)/2
Factor -2*p**3/7 - 12*p**2/7 + 2*p.
-2*p*(p - 1)*(p + 7)/7
Factor 3*f**4 - 24*f**3 + 45*f**2 + 24*f - 48.
3*(f - 4)**2*(f - 1)*(f + 1)
Factor 5*g**3 + 15*g**2 - 5*g - 15.
5*(g - 1)*(g + 1)*(g + 3)
Solve b**3/3 - 66*b**2 - 199*b/3 = 0.
-1, 0, 199
Factor 3*b**4 - 57*b**3 + 297*b**2 - 243*b.
3*b*(b - 9)**2*(b - 1)
Factor -3*m**2 - 183*m + 6786.
-3*(m - 26)*(m + 87)
Suppose -q**2/4 + 25*q/4 = 0. What is q?
0, 25
Find o, given that -2*o**3 - 46*o**2 + 1066*o + 1110 = 0.
-37, -1, 15
Find f, given that f**2/7 - 5*f/7 = 0.
0, 5
Solve -3*a**5 - 72*a**4 - 249*a**3 - 168*a**2 + 252*a + 240 = 0 for a.
-20, -2, -1, 1
Suppose -1456*v**2 - 6*v = 0. What is v?
-3/728, 0
Factor -39605*a**3 + 150410*a**2 + 31635*a + 1620.
-5*(a - 4)*(89*a + 9)**2
Let 25*d**3 - 1780*d**2 + 2105*d - 350 = 0. Calculate d.
1/5, 1, 70
Let 5*q**2/4 + 25*q/4 - 35/2 = 0. What is q?
-7, 2
Factor 3*p**3/8 - 111*p**2/8 - 453*p/4 - 99.
3*(p - 44)*(p + 1)*(p + 6)/8
Factor -x**4 - 36*x**3 - 69*x**2 - 34*x.
-x*(x + 1)**2*(x + 34)
Determine n, given that -5*n**3/4 + 465*n**2 + 11315*n/4 + 4725/2 = 0.
-5, -1, 378
Factor 2*j**3 - 132*j**2 + 2304*j - 4096.
2*(j - 32)**2*(j - 2)
Determine m, given that -m**5 - 7*m**4 - 12*m**3 = 0.
-4, -3, 0
Let 3*u**3 - 6*u**2 + 3*u = 0. What is u?
0, 1
Solve 5*m**4 + 6090*m**3 + 2472540*m**2 + 334617080*m = 0 for m.
-406, 0
Suppose 3*y**2 - 9*y + 6 = 0. Calculate y.
1, 2
Determine r, given that 18*r**5/5 + 294*r**4/5 - 1282*r**3/5 + 754*r**2/5 - 24*r = 0.
-20, 0, 1/3, 3
Factor -v**2 - 1902*v - 904401.
-(v + 951)**2
Factor q**2 + 40*q - 41.
(q - 1)*(q + 41)
Suppose -3*d**3 + 8259*d**2 - 5696625*d + 17015625 = 0. Calculate d.
3, 1375
Factor 14*j**4/11 + 60*j**3/11 + 72*j**2/11 + 16*j/11.
2*j*(j + 2)**2*(7*j + 2)/11
Solve -2*x**3 + 64*x**2 + 522*x + 936 = 0 for x.
-4, -3, 39
Factor -y**2/4 - 121*y/4 - 30.
-(y + 1)*(y + 120)/4
Suppose -t**3 + 2030*t**2 + 4063*t + 2032 = 0. What is t?
-1, 2032
Let -u**4/5 + 42*u**3/5 - 88*u**2 - 42*u/5 + 441/5 = 0. What is u?
-1, 1, 21
Factor -3*n**2 + 4716*n - 1853388.
-3*(n - 786)**2
Determine c so that -162*c**5 - 1206*c**4 + 5968*c**3 - 4304*c**2 - 2848*c - 352 = 0.
-11, -2/9, 2
Suppose 2*k**4/9 - 10*k**3/9 + 8*k**2/9 = 0. What is k?
0, 1, 4
Solve -3*b**3/2 + 2070*b**2 - 8271*b/2 + 2067 = 0.
1, 1378
Suppose -16*i**3/3 - 85*i**2/3 - 89*i/3 - 20/3 = 0. Calculate i.
-4, -1, -5/16
Factor -3*l**3 - 15*l**2 - 24*l - 12.
-3*(l + 1)*(l + 2)**2
Factor -2*a**3/11 - 94*a**2 - 133126*a/11 + 134162/11.
-2*(a - 1)*(a + 259)**2/11
Solve 2*c**5 + 10*c**4 - 6*c**3 - 26*c**2 + 20*c = 0 for c.
-5, -2, 0, 1
Find l such that l**3/3 - 28*l**2/3 - 199*l/3 - 170/3 = 0.
-5, -1, 34
Suppose 4*g**2 - 278*g/7 - 20/7 = 0. What is g?
-1/14, 10
Suppose 2*m**4/5 - 6*m**3/5 + 4*m**2/5 = 0. What is m?
0, 1, 2
Factor 2*f**2 - 16*f.
2*f*(f - 8)
Factor t**2/4 + 7*t/4 + 3/2.
(t + 1)*(t + 6)/4
Find z, given that -3*z**2 + 12*z + 36 = 0.
-2, 6
Factor -3*r**3 - 117*r**2 - 222*r.
-3*r*(r + 2)*(r + 37)
Solve d**4/4 - 3*d**3/4 - d**2 = 0 for d.
-1, 0, 4
Factor r**3 - 7*r**2 + 11*r - 5.
(r - 5)*(r - 1)**2
Let 5*z**2 - 10*z = 0. Calculate z.
0, 2
Determine x so that 2*x**2/5 - 98*x/5 + 72 = 0.
4, 45
Determine s, given that 3*s**2/5 - 231*s/5 + 294 = 0.
7, 70
Factor -4*s**3 + 844*s**2 - 1676*s + 836.
-4*(s - 209)*(s - 1)**2
Factor -2*p**5 - 30*p**4 - 78*p**3 - 74*p**2 - 24*p.
-2*p*(p + 1)**3*(p + 12)
Solve 3*v**3 + 1422*v**2 - 14445*v + 36300 = 0.
-484, 5
Solve 5*p**4/3 - 40*p**3/3 + 40*p**2 - 160*p/3 + 80/3 = 0 for p.
2
What is t in -t**5/8 - 19*t**4/8 - 65*t**3/8 - 77*t**2/8 - 15*t/4 = 0?
-15, -2, -1, 0
Factor 3*j**2 - 63*j + 240.
3*(j - 16)*(j - 5)
Factor -3*d**3 + 12*d**2 + 228*d - 480.
-3*(d - 10)*(d - 2)*(d + 8)
Solve 2*f**4/7 + 4*f**3 + 24*f**2/7 - 4*f - 26/7 = 0.
-13, -1, 1
Solve 11*g**3 + 178*g**2 + 32*g = 0.
-16, -2/11, 0
Factor 2*k**3 + 218*k**2 + 628*k - 848.
2*(k - 1)*(k + 4)*(k + 106)
Let -5*a**5 - 55*a**4 - 110*a**3 + 230*a**2 + 115*a - 175 = 0. Calculate a.
-7, -5, -1, 1
Suppose b**3/3 + 22*b**2/3 + 128*b/3 + 224/3 = 0. Calculate b.
-14, -4
Solve 2*u**3/11 + 42*u**2/11 - 144*u/11 = 0.
-24, 0, 3
Find m, given that -3*m**3/5 + 6*m**2 - 48*m/5 = 0.
0, 2, 8
Solve 5*h**5 - 30*h**4 - 120*h**3 + 400*h**2 + 1680*h + 1440 = 0 for h.
-2, 6
Factor -4*g**4/5 - 8*g**3 + 44*g**2/5.
-4*g**2*(g - 1)*(g + 11)/5
Determine j, given that -5*j**2/7 + 1613*j/7 + 646/7 = 0.
-2/5, 323
Factor 2*q**5/3 + 4*q**4 + 10*q**3/3.
2*q**3*(q + 1)*(q + 5)/3
Suppose -3*b**5 + 15*b**4 + 78*b**3 - 576*b**2 + 864*b = 0. What is b?
-6, 0, 3, 4
Factor -l**2 - 2143*l/4 - 1605/4.
-(l + 535)*(4*l + 3)/4
Factor -4*o**4 + 40*o**3 - 116*o**2 + 128*o - 48.
-4*(o - 6)*(o - 2)*(o - 1)**2
Solve 3*f**2/8 - 669*f/2 + 149187/2 = 0 for f.
446
Determine s so that s**4/3 + 7*s**3 + 10*s**2/3 - 64*s + 160/3 = 0.
-20, -4, 1, 2
Find u, given that u**3 - 31*u + 30 = 0.
-6, 1, 5
Factor -s**2/2 + 657*s/2 - 655.
-(s - 655)*(s - 2)/2
Factor -m**5/5 - 29*m**4/5.
-m**4*(m + 29)/5
Find p such that p**4/7 - p**2 - 6*p/7 = 0.
-2, -1, 0, 3
Find s, given that 1369599*s**3 + 426888*s**2 + 44352*s + 1536 = 0.
-8/77
Determine h, given that -h**2/2 + 128*h + 257/2 = 0.
-1, 257
Find v, given that 3*v**2/4 + 21*v/4 - 6 = 0.
-8, 1
Let p**4 + 23*p**3 - 78*p**2 + 4*p + 104 = 0. What is p?
-26, -1, 2
Factor -4*x**3/7 - 712*x**2/7 - 30960*x/7 + 64800/7.
-4*(x - 2)*(x + 90)**2/7
Find s such that -3*s**5 - 21*s**4 - 33*s**3 - 15*s**2 = 0.
-5, -1, 0
Determine c, given that -3*c**3 + 6*c**2 + 93*c + 84 = 0.
-4, -1, 7
Factor 4*n**3 - 724*n**2 - 1460*n - 732.
4*(n - 183)*(n + 1)**2
What is o in -5*o**4 + 125*o**3 - 330*o**2 = 0?
0, 3, 22
Factor 5*f**2/6 + 115*f/6 - 475.
5*(f - 15)*(f + 38)/6
Factor 4*q**4 + 464*q**3 + 1368*q**2 + 1360*q + 452.
4*(q + 1)**3*(q + 113)
Find y such that -y**3/3 + 47*y**2/3 - 91*y/3 + 15 = 0.
1, 45
Factor 4*b**3 + 8*b**2 - 32*b.
4*b*(b - 2)*(b + 4)
Factor 2*y**2 - 80*y + 800.
2*(y - 20)**2
Factor -2*y**5 - 10*y**4 - 16*y**3 - 8*y**2.
-2*y**2*(y + 1)*(y + 2)**2
Determine c so that c**2 - 54*c + 245 = 0.
5, 49
Factor 3*f**4/7 - 72*f**2/7 + 192*f/7 - 144/7.
3*(f - 2)**3*(f + 6)/7
Solve -2*i**2 - 32*i + 210 = 0 for i.
-21, 5
Let 3*g**3/7 - 3*g + 18/7 = 0. What is g?
-3, 1, 2
Suppose -10*l**2 - 265*l + 135 = 0. What is l?
-27, 1/2
Solve -2*o**3/7 + 4*o**2/21 + 32*o/7 - 64/21 = 0.
-4, 2/3, 4
Factor -57*g**3/5 + 2*g**2/5 + 57*g/5 - 2/5.
-(g - 1)*(g + 1)*(57*g - 2)/5
Let -12*m**5 + 232*m**4 - 788*m**3 + 88*m**2 + 480*m = 0. Calculate m.
-2/3, 0, 1, 4, 15
Find v, given that -2*v**3/17 + 14*v**2/17 + 2*v/17 - 14/17 = 0.
-1, 1, 7
Factor 2*p**2 - 24*p.
2*p*(p - 12)
Let -h**5 + 26*h**4 - 62*h**3 - 176*h**2 + 327*h + 414 = 0. Calculate h.
-2, -1, 3, 23
Factor -5*d**3/4 - 12*d**2 + 75*d/