h - 4)/7
Factor x**3 - 1225*x**2.
x**2*(x - 1225)
Suppose -c**5/9 - 8*c**4/9 - 11*c**3/9 + 8*c**2/9 + 4*c/3 = 0. Calculate c.
-6, -2, -1, 0, 1
Factor -3*h**2 + 75*h + 162.
-3*(h - 27)*(h + 2)
Factor 5*q**5 - 10*q**3 + 5*q.
5*q*(q - 1)**2*(q + 1)**2
Find l such that l**4/4 - 25*l**3/4 + 17*l**2 - 11*l = 0.
0, 1, 2, 22
Factor -2*h**4 - 46*h**3 - 196*h**2 - 296*h - 144.
-2*(h + 1)*(h + 2)**2*(h + 18)
Solve -2*n**5/3 - 17*n**4/6 - 4*n**3 - 13*n**2/6 - n/3 = 0.
-2, -1, -1/4, 0
Factor -d**2/8 - 51*d/2 - 2601/2.
-(d + 102)**2/8
Let -4*d**3/3 - 188*d**2 - 560*d/3 = 0. Calculate d.
-140, -1, 0
Factor -l**4/4 - 43*l**3/4 - 162*l**2 - 1040*l - 2432.
-(l + 8)**3*(l + 19)/4
Suppose -5*z**4 + 20*z**3 + 390*z**2 - 20*z - 385 = 0. Calculate z.
-7, -1, 1, 11
Factor -v**5 - 39*v**4 - 360*v**3 + 400*v**2.
-v**2*(v - 1)*(v + 20)**2
What is d in -8*d**5 - 26*d**4 + 226*d**3 + 82*d**2 - 218*d - 56 = 0?
-7, -1, -1/4, 1, 4
Suppose 3*y**3/7 - 6*y**2/7 - 9*y - 54/7 = 0. What is y?
-3, -1, 6
What is o in -4*o**2 - 40*o + 384 = 0?
-16, 6
Suppose -2*n**3 + 14*n**2 + 56*n + 40 = 0. What is n?
-2, -1, 10
Factor n**3 - 11*n**2 + 32*n - 28.
(n - 7)*(n - 2)**2
Factor 2*d**5 + 20*d**4 + 34*d**3 + 16*d**2.
2*d**2*(d + 1)**2*(d + 8)
Factor -4*m**4 - 1608*m**3 - 159984*m**2 + 326432*m.
-4*m*(m - 2)*(m + 202)**2
Factor -d**2/2 + 79*d/2 + 40.
-(d - 80)*(d + 1)/2
Solve 4*u**2/7 + 12*u/7 = 0.
-3, 0
Solve 5*w**3 + 195*w**2 + 1840*w = 0.
-23, -16, 0
Factor -2*l**2 - 92*l - 480.
-2*(l + 6)*(l + 40)
Suppose 4*s**5 - 28*s**4 + 72*s**3 - 80*s**2 + 32*s = 0. What is s?
0, 1, 2
Factor 5*f**2 - 455*f + 2150.
5*(f - 86)*(f - 5)
Suppose -d**4/10 - 36*d**3/5 - 141*d**2/10 - 7*d = 0. Calculate d.
-70, -1, 0
Factor 2*t**2/7 - 30*t/7 + 72/7.
2*(t - 12)*(t - 3)/7
Factor f**2/7 + 4*f + 27/7.
(f + 1)*(f + 27)/7
Find a such that -2*a**5 - 2948*a**4 + 5902*a**3 - 2952*a**2 = 0.
-1476, 0, 1
Let -36*g**2 - 196*g - 160 = 0. What is g?
-40/9, -1
Determine m, given that -24*m**5 - 105*m**4 - 108*m**3 - 27*m**2 = 0.
-3, -1, -3/8, 0
Determine f, given that 2*f**3 + 44*f**2 + 38*f - 84 = 0.
-21, -2, 1
Suppose -u**4/8 + 23*u**3/8 - 177*u**2/8 + 513*u/8 - 243/4 = 0. Calculate u.
2, 3, 9
Factor 6*k**4 + 4*k**3 - 2*k**2.
2*k**2*(k + 1)*(3*k - 1)
Factor -a**3 + 33*a**2 - 363*a + 1331.
-(a - 11)**3
Factor -6*h**2 + 21*h - 18.
-3*(h - 2)*(2*h - 3)
Determine c, given that -c**2/4 + 53*c/2 - 52 = 0.
2, 104
Factor -p**5/6 - 17*p**4/3 - 77*p**3/3 - 134*p**2/3 - 205*p/6 - 29/3.
-(p + 1)**3*(p + 2)*(p + 29)/6
Suppose -4*i**4 - 28*i**3 - 20*i**2 + 28*i + 24 = 0. Calculate i.
-6, -1, 1
Suppose -2*g**2/11 - 1020*g/11 - 130050/11 = 0. What is g?
-255
Suppose -s**2/2 - 11*s/2 = 0. Calculate s.
-11, 0
What is z in -z**3 - 19*z**2 - 62*z + 208 = 0?
-13, -8, 2
Find t, given that 35*t**4 + 690*t**3 - 935*t**2 + 210*t = 0.
-21, 0, 2/7, 1
Let h**3/2 + 341*h**2/2 + 28199*h/2 - 149645/2 = 0. Calculate h.
-173, 5
Factor -h**3 - 96*h**2 - 2397*h - 4418.
-(h + 2)*(h + 47)**2
Suppose -3*l**5/5 - 6*l**4/5 + 21*l**3/5 - 12*l**2/5 = 0. Calculate l.
-4, 0, 1
What is z in -2*z**2/7 + 44*z/7 = 0?
0, 22
Factor -4*q**4 + 1460*q**3 - 126412*q**2 - 1258884*q.
-4*q*(q - 187)**2*(q + 9)
Determine p, given that -3*p**5 + 21*p**4 - 42*p**3 + 6*p**2 + 45*p - 27 = 0.
-1, 1, 3
Find y such that -5*y**3 + 60*y + 80 = 0.
-2, 4
Factor -3*l**4 + 408*l**3 - 20808*l**2 + 471648*l - 4009008.
-3*(l - 34)**4
Factor 5*j**2 - 610*j - 615.
5*(j - 123)*(j + 1)
Determine r, given that 2*r**3 + 4*r**2 - 22*r - 24 = 0.
-4, -1, 3
Let 5*d**4/2 - 83*d**3/2 - 17*d**2 = 0. Calculate d.
-2/5, 0, 17
Solve 145*k**5 + 1150*k**4 + 1515*k**3 - 1270*k**2 - 1660*k + 120 = 0.
-6, -2, -1, 2/29, 1
Factor j**2/5 + 2*j + 16/5.
(j + 2)*(j + 8)/5
Factor -5*q**4 - 4140*q**3 - 856980*q**2.
-5*q**2*(q + 414)**2
Let -5*z**2 + 40*z - 60 = 0. Calculate z.
2, 6
Factor -2*b**5/9 + 26*b**4/9 - 46*b**3/9 + 22*b**2/9.
-2*b**2*(b - 11)*(b - 1)**2/9
Factor 2*c**2/7 + 382*c/7 - 384/7.
2*(c - 1)*(c + 192)/7
Factor -2*s**2/9 + 16*s/9 - 10/3.
-2*(s - 5)*(s - 3)/9
Suppose s**3 - 23*s**2 - 105*s - 81 = 0. What is s?
-3, -1, 27
Factor v**3/8 - 27*v**2/8 + 35*v/2.
v*(v - 20)*(v - 7)/8
Factor 2*x**2/9 + 440*x/9 - 446/3.
2*(x - 3)*(x + 223)/9
Solve 2*m**2/5 - 128*m/5 - 138 = 0.
-5, 69
Factor k**5/4 + 9*k**4/4 + 3*k**3/2 - 4*k**2.
k**2*(k - 1)*(k + 2)*(k + 8)/4
Suppose 2*k**2/9 - 616*k/3 + 1846/9 = 0. What is k?
1, 923
Find x, given that 7744*x**2 + 264*x + 9/4 = 0.
-3/176
Let 722*v**2 - 171*v + 10 = 0. What is v?
2/19, 5/38
Factor 2*i**4/3 + 12*i**3 + 22*i**2 + 32*i/3.
2*i*(i + 1)**2*(i + 16)/3
Factor 7*g**3 + 12*g**2 + 3*g - 2.
(g + 1)**2*(7*g - 2)
Determine r so that -3*r**4/4 + 33*r**3/2 - 363*r**2/4 = 0.
0, 11
Factor -2*z**5 + 96*z**4 - 184*z**3 - 4*z**2 + 186*z - 92.
-2*(z - 46)*(z - 1)**3*(z + 1)
Find q, given that -2*q**4 + 44*q**3 + 2*q**2 - 44*q = 0.
-1, 0, 1, 22
Factor 2*d**3 + 618*d**2 - 620*d.
2*d*(d - 1)*(d + 310)
Let -3*o**2 - 15*o = 0. What is o?
-5, 0
Find y such that -5*y**4 + 105*y**3 + 905*y**2 + 2055*y + 1260 = 0.
-3, -1, 28
Factor -2*c**2 + 122*c - 120.
-2*(c - 60)*(c - 1)
What is y in 5*y**2 - 1750*y - 1755 = 0?
-1, 351
Suppose 2*c**2/9 + 128*c/9 - 130/9 = 0. What is c?
-65, 1
Factor -4*t**3/7 + 148*t/7 + 48.
-4*(t - 7)*(t + 3)*(t + 4)/7
Determine q, given that q**4/3 + q**3 - 43*q**2 - 7*q/3 + 980 = 0.
-12, -5, 7
Let 14*u**5 + 12*u**4 - 44*u**3 - 64*u**2 - 18*u + 4 = 0. Calculate u.
-1, 1/7, 2
What is b in 4*b**3 + 92*b**2 + 544*b + 960 = 0?
-15, -4
Let k**3 - 110*k**2 - k + 110 = 0. Calculate k.
-1, 1, 110
Let 2*t**5/17 - 30*t**4/17 + 54*t**3/17 + 262*t**2/17 - 576*t/17 + 288/17 = 0. What is t?
-3, 1, 4, 12
Suppose 16*p**4/5 + 376*p**3/5 + 37*p**2 + 23*p/5 = 0. Calculate p.
-23, -1/4, 0
Find d, given that -5*d**4 + 325*d**3 - 4770*d**2 - 16660*d - 11560 = 0.
-2, -1, 34
Factor 3*u**3/8 - 309*u**2/8 + 8109*u/8 - 7803/8.
3*(u - 51)**2*(u - 1)/8
Find s such that 5*s**5 - 45*s**3 + 20*s**2 + 60*s = 0.
-3, -1, 0, 2
Factor 4*g**5 + 1024*g**4 + 68548*g**3 + 387032*g**2 + 758000*g + 500000.
4*(g + 2)**3*(g + 125)**2
Suppose 2*f**2/13 + 118*f/13 + 900/13 = 0. What is f?
-50, -9
Solve 3*g**5/4 - 61*g**4/4 + 243*g**3/4 + 541*g**2/4 + 117*g/2 = 0.
-1, -2/3, 0, 9, 13
Suppose -p**4/4 - 43*p**3/4 + 171*p**2/2 - 104*p - 200 = 0. What is p?
-50, -1, 4
Let -8*c**5/15 - 14*c**4/15 - 4*c**3/15 + 2*c**2/15 = 0. What is c?
-1, 0, 1/4
Factor q**2 - q - 2.
(q - 2)*(q + 1)
Suppose -4*f**2 + 1048*f + 4256 = 0. What is f?
-4, 266
Find o such that o**5/3 - 5*o**4 + 30*o**3 - 90*o**2 + 135*o - 81 = 0.
3
Solve 35*r**5 - 365*r**4 + 1410*r**3 - 2500*r**2 + 1960*r - 480 = 0.
3/7, 2, 4
Suppose r**2 + 2471*r + 2470 = 0. Calculate r.
-2470, -1
Factor 5*m**2 + 5510*m + 1518005.
5*(m + 551)**2
Determine s so that -4*s**4/9 - 452*s**3/3 - 14572*s**2/9 - 15340*s/3 - 32800/9 = 0.
-328, -5, -1
Find c such that -12*c**5 - 210*c**4 + 2301*c**3/4 - 975*c**2/2 + 597*c/4 - 15 = 0.
-20, 1/4, 1
Factor 2*l**2 + 102*l + 376.
2*(l + 4)*(l + 47)
Suppose -5*x**4 - 85*x**3 - 155*x**2 - 75*x = 0. What is x?
-15, -1, 0
Factor -t**2/6 + 25/6.
-(t - 5)*(t + 5)/6
Factor 2*d**2/3 + 64*d/3 + 170.
2*(d + 15)*(d + 17)/3
Let 4*t**2 + 228*t + 3080 = 0. What is t?
-35, -22
Determine p so that -18*p**4 - 158*p**3 - 396*p**2 - 192*p + 64 = 0.
-4, -1, 2/9
Determine p so that 4*p**2 - 456*p = 0.
0, 114
Factor f**5/5 + 7*f**4/5.
f**4*(f + 7)/5
Factor 6*r**3/5 + 432*r**2/5 + 426*r/5.
6*r*(r + 1)*(r + 71)/5
Determine d, given that -4*d**2 + 4*d + 24 = 0.
-2, 3
Solve 3*c**2 + 24594*c + 50405403 = 0 for c.
-4099
Suppose 5*n**3 + 30*n**2 - 395*n + 780 = 0. Calculate n.
-13, 3, 4
Find i such that 9*i**5/5 + 84*i**4/5 - 12*i**3 - 162*i**2 - 189*i/5 + 486/5 = 0.
-9, -3, -1, 2/3, 3
Factor -5*v**3/2 - 110*v**2.
-5*v**2*(v + 44)/2
Factor -2*s**3/11 - 10*s**2/11 - 14*s/11 - 6/11.
-2*(s + 1)**2*(s + 3)/11
Let -4*v**4 - 144*v**3 + 148*v**2 = 0. Calculate v.
-37, 0, 1
Find p such that -5*p**2/3 - 25*p/3 - 20/3 = 0.
-4, -1
Let -4*n**4/3 + 24*n**3 - 12*n**2 - 864*n - 1728 = 0. Calculate n.
-3, 12
Find l such that l**4/3 - 4*l**3/3 - 10*l**2/3 + 28*l/3 - 5 = 0.
-3, 1, 5
Determine z, given that z**5/2 - 137*z**4/2 - 143*z**3/2 + 693*z**2/2 - 207*z = 0.
-3, 0, 1, 138
Solve 4*a**3 + 60*a**2 + 152*a + 96 = 0.
-12, -2, -1
Factor a**2 - 95*a.
a*(a - 95)
Factor -3*b**2/2 + 24*b - 45/2