d i such that -4*i**2 - 960*i = 0.
-240, 0
Factor -6*m**3 + 38*m**2 + 150*m - 54.
-2*(m - 9)*(m + 3)*(3*m - 1)
Factor 3*g**4 - 12*g**3 + 9*g**2 + 12*g - 12.
3*(g - 2)**2*(g - 1)*(g + 1)
Suppose -5*m**3 - 28*m**2 + 47*m - 14 = 0. Calculate m.
-7, 2/5, 1
Find r such that -15*r**5 - 190*r**4 - 645*r**3 - 710*r**2 - 240*r = 0.
-8, -3, -1, -2/3, 0
Factor 50*g**2/3 + 18*g + 4/3.
2*(g + 1)*(25*g + 2)/3
Determine d so that 5*d**2 - 40*d + 80 = 0.
4
Factor 2*w**2 - 78*w - 252.
2*(w - 42)*(w + 3)
Let 15*v**4 - 595*v**3 + 3840*v**2 - 5180*v + 1920 = 0. Calculate v.
2/3, 1, 6, 32
Factor -10*k**3 + 82*k**2 + 184*k - 40.
-2*(k - 10)*(k + 2)*(5*k - 1)
Factor -4*c**3/3 - 32*c**2 - 220*c - 968/3.
-4*(c + 2)*(c + 11)**2/3
Determine h so that -3*h**2/4 + 12*h - 48 = 0.
8
Factor a**5 + 6*a**4 - 23*a**3 - 60*a**2 - 32*a.
a*(a - 4)*(a + 1)**2*(a + 8)
Factor -u**2 + 352*u - 30976.
-(u - 176)**2
Factor 3*g**2 - 258*g + 255.
3*(g - 85)*(g - 1)
Factor 2*z**2 + 14*z - 156.
2*(z - 6)*(z + 13)
Let -w**2/2 + 5*w/2 - 3 = 0. What is w?
2, 3
Factor 2*c**2/9 - 28*c/9.
2*c*(c - 14)/9
Solve -14*y**3/5 - 128*y**2/5 - 18*y/5 = 0 for y.
-9, -1/7, 0
Suppose h**5/7 + 10*h**4/7 + 20*h**3/7 - 10*h**2/7 - 3*h = 0. What is h?
-7, -3, -1, 0, 1
Determine p, given that -p**3 - 537*p**2 + 1078*p = 0.
-539, 0, 2
Suppose -n**2 + 7*n + 44 = 0. What is n?
-4, 11
Suppose -35*x**5 - 60*x**4 + 755*x**3 - 840*x**2 + 180*x = 0. Calculate x.
-6, 0, 2/7, 1, 3
Determine p, given that -8*p**5/19 + 154*p**4/19 + 130*p**3/19 - 194*p**2/19 - 122*p/19 + 40/19 = 0.
-1, 1/4, 1, 20
Find f such that 3*f**4 + 858*f**3 - 876*f**2 - 4314*f - 2583 = 0.
-287, -1, 3
Solve 2*g**5 + 24*g**4 + 98*g**3 + 180*g**2 + 152*g + 48 = 0.
-6, -2, -1
Factor s**4 - 12*s**3 + 27*s**2.
s**2*(s - 9)*(s - 3)
Factor 45*y**2 - 1239*y + 246.
3*(3*y - 82)*(5*y - 1)
Determine c so that -4*c**4/5 + 52*c**2/5 - 48*c/5 = 0.
-4, 0, 1, 3
Factor -2*i**3/9 + 4*i**2/9 + 10*i/9 - 4/3.
-2*(i - 3)*(i - 1)*(i + 2)/9
Let 240*w**4 - 200*w**3 + 55*w**2 - 5*w = 0. Calculate w.
0, 1/4, 1/3
Suppose 7*u**5 - 12*u**4 - 305*u**3 - 366*u**2 - 80*u = 0. What is u?
-5, -1, -2/7, 0, 8
Factor -2*v**2 - 66*v + 296.
-2*(v - 4)*(v + 37)
Suppose 2*k**3/3 - 4*k**2 + 10*k/3 = 0. Calculate k.
0, 1, 5
Factor 4*w**2 + 2864*w + 512656.
4*(w + 358)**2
Factor -a**3/4 + 133*a**2/4 - 4615*a/4 + 12675/4.
-(a - 65)**2*(a - 3)/4
Determine w so that 5*w**3 - 30*w**2 - 80*w = 0.
-2, 0, 8
Let n**3 + 11*n**2 + 32*n + 28 = 0. What is n?
-7, -2
Factor 3*y**3/2 + 669*y**2 - 3*y/2 - 669.
3*(y - 1)*(y + 1)*(y + 446)/2
What is i in -4*i**3 - 80*i**2 + 188*i + 264 = 0?
-22, -1, 3
Suppose -2*n**3 - 44*n**2 + 298*n + 756 = 0. Calculate n.
-27, -2, 7
Factor -q**3 + 37*q**2 - 154*q - 192.
-(q - 32)*(q - 6)*(q + 1)
Factor p**3 - 53*p**2 + 46*p + 312.
(p - 52)*(p - 3)*(p + 2)
Let 338*s**2 + 2708*s + 32 = 0. What is s?
-8, -2/169
Factor -4*f**2 - 824*f.
-4*f*(f + 206)
Find y, given that -66*y**3 + 915*y**2 - 1458*y - 216 = 0.
-3/22, 2, 12
Let 3*x**3 - 33*x**2 + 57*x - 27 = 0. What is x?
1, 9
Factor v**2 + 3*v - 28.
(v - 4)*(v + 7)
Factor 4*q**4/3 - 1820*q**3/3 + 3628*q**2/3 - 604*q.
4*q*(q - 453)*(q - 1)**2/3
Factor 4*f**5/5 + 24*f**4/5 + 48*f**3/5 + 8*f**2 + 12*f/5.
4*f*(f + 1)**3*(f + 3)/5
Factor -5*w**3 - 250*w**2 - 2860*w + 6760.
-5*(w - 2)*(w + 26)**2
Let -q**4/6 - 55*q**3/3 - 971*q**2/2 + 3080*q/3 - 1568/3 = 0. What is q?
-56, 1
Factor 2*h**2/5 - 92*h/5 + 18.
2*(h - 45)*(h - 1)/5
Solve 15*x**4 + 160*x**3 + 355*x**2 + 290*x + 80 = 0.
-8, -1, -2/3
Determine t, given that -t**2/3 - 71*t/3 = 0.
-71, 0
Find a, given that 45724644*a**2 - 54096*a + 16 = 0.
2/3381
Solve -4*c**3 + 24*c**2 + 148*c - 360 = 0.
-5, 2, 9
Factor 3*g**2 + 216*g - 3024.
3*(g - 12)*(g + 84)
Factor -3*l**2/4 - 159*l + 3255/4.
-3*(l - 5)*(l + 217)/4
Factor -12*s**2/7 + 1724*s/7 - 1144/7.
-4*(s - 143)*(3*s - 2)/7
Find u, given that 4*u**4 + 12*u**3 - 4*u**2 - 12*u = 0.
-3, -1, 0, 1
Factor c**2/4 - 1039*c/2 - 2079/4.
(c - 2079)*(c + 1)/4
Determine g, given that -2*g**3/11 - 28*g**2/11 + 98*g/11 - 68/11 = 0.
-17, 1, 2
Solve -q**2 + 9*q = 0 for q.
0, 9
Let 4*n**3 + 16*n**2/7 - 52*n/7 - 40/7 = 0. What is n?
-1, 10/7
What is l in 4*l**3 - 32*l**2 + 52*l - 24 = 0?
1, 6
Factor -2*o**4 - 730*o**3 - 66246*o**2 + 66978*o.
-2*o*(o - 1)*(o + 183)**2
Determine y so that -14*y**3/9 - 1298*y**2/9 + 124*y/3 = 0.
-93, 0, 2/7
Let g**2/3 - 34*g/3 = 0. Calculate g.
0, 34
Factor -2*t**2 - 1718*t - 1716.
-2*(t + 1)*(t + 858)
Determine o, given that 32*o**4 - 1154*o**3 + 12360*o**2 - 33536*o + 2048 = 0.
1/16, 4, 16
Determine f so that 3*f**4 - 282*f**3 - 291*f**2 + 570*f = 0.
-2, 0, 1, 95
Determine h, given that h**2/4 - h + 1 = 0.
2
Factor -2*n**3/7 - 166*n**2/7 - 480*n + 504.
-2*(n - 1)*(n + 42)**2/7
Factor q**3 - 7833*q**2 + 15335055*q + 15342889.
(q - 3917)**2*(q + 1)
Factor -3*f**3 + 75*f**2.
-3*f**2*(f - 25)
Solve f**2 + 574*f + 82369 = 0.
-287
Factor -4*m**4/7 + 13164*m**3/7 - 14440908*m**2/7 + 5280558692*m/7.
-4*m*(m - 1097)**3/7
Factor z**4 + 20*z**3 + 118*z**2 + 180*z + 81.
(z + 1)**2*(z + 9)**2
Let -5*p**4 - 5*p**3 + 10*p**2 = 0. Calculate p.
-2, 0, 1
Find c such that 4*c**2 - 1408*c - 1412 = 0.
-1, 353
Factor 21*i**3 - 75*i**2 - 141*i - 45.
3*(i - 5)*(i + 1)*(7*i + 3)
Determine t so that 4*t**4 + 1072*t**3 = 0.
-268, 0
Factor -44*l**3 - 240*l**2 - 432*l - 256.
-4*(l + 2)**2*(11*l + 16)
Find p such that -15*p**3/4 - 18*p**2 - 81*p/4 = 0.
-3, -9/5, 0
Suppose -8*m**5 - 4*m**4 = 0. Calculate m.
-1/2, 0
Let -h**2 + 22*h - 40 = 0. What is h?
2, 20
Find k, given that -40*k**4 - 196*k**3 - 304*k**2 - 144*k = 0.
-2, -9/10, 0
Let 15*j**4 - 939*j**3 + 3222*j**2 - 2100*j - 1416 = 0. What is j?
-2/5, 2, 59
Factor 3*s**3 + 6*s**2 - 69*s - 180.
3*(s - 5)*(s + 3)*(s + 4)
Factor 15*q**3 + 145*q**2 - 890*q + 280.
5*(q - 4)*(q + 14)*(3*q - 1)
Factor 5*r**2 - 23070*r + 26611245.
5*(r - 2307)**2
Factor 3*q**2 + 14352*q + 17164992.
3*(q + 2392)**2
Factor 5*m**4 + 85*m**3 + 80*m**2.
5*m**2*(m + 1)*(m + 16)
Suppose -80*b**2 - 425*b - 125 = 0. What is b?
-5, -5/16
Solve -49*i**5/2 + 763*i**4/2 - 1388*i**3 - 866*i**2 + 800*i - 128 = 0.
-1, 2/7, 8
Factor -4*f**4/5 + 16*f**3/5 - 24*f**2/5 + 16*f/5 - 4/5.
-4*(f - 1)**4/5
Let -x**3 - 214*x**2 + 1555*x + 1768 = 0. What is x?
-221, -1, 8
Solve -4*f**2 - 37*f/2 + 15/2 = 0.
-5, 3/8
Factor 2*n**3 - 482*n**2 - 2*n + 482.
2*(n - 241)*(n - 1)*(n + 1)
Factor -265*z**3/6 - 790*z**2/3 - 775*z/2 + 15.
-5*(z + 3)**2*(53*z - 2)/6
Factor 2*n**3 + 372*n**2 - 758*n - 1128.
2*(n - 3)*(n + 1)*(n + 188)
Let -3*v**3/4 - 9*v**2/4 - 3*v/2 = 0. Calculate v.
-2, -1, 0
Suppose 4*r**2/9 - 104*r/9 - 12 = 0. What is r?
-1, 27
Factor 2*j**3 - 30*j**2 - 522*j + 550.
2*(j - 25)*(j - 1)*(j + 11)
Solve -4*q**3/9 - 8*q**2/9 + 76*q/9 + 80/9 = 0.
-5, -1, 4
Find w, given that 31*w**2/2 + 48*w + 9/2 = 0.
-3, -3/31
Determine j, given that 4*j**3 + 504*j**2 + 21168*j + 296352 = 0.
-42
Factor 2*j**3/3 + 236*j**2/3 + 1330*j/3 - 1568/3.
2*(j - 1)*(j + 7)*(j + 112)/3
Suppose 6*r**3 + 2284*r**2 + 1520*r = 0. Calculate r.
-380, -2/3, 0
Factor 9*q**2 - 42*q - 72.
3*(q - 6)*(3*q + 4)
Solve 4*v**4 - 108*v**3 + 764*v**2 - 660*v = 0 for v.
0, 1, 11, 15
Find x, given that 12*x**5 + 27*x**4 - 42*x**3 - 36*x**2 + 30*x + 9 = 0.
-3, -1, -1/4, 1
Let c**4 - 30*c**3 + 107*c**2 - 78*c = 0. Calculate c.
0, 1, 3, 26
Determine c, given that -2*c**4/3 - 148*c**3/3 + 614*c**2/3 - 776*c/3 + 104 = 0.
-78, 1, 2
Factor 2*u**2/11 - 126*u/11.
2*u*(u - 63)/11
Find u, given that 3*u**3 + 510*u**2 - 4224*u + 8544 = 0.
-178, 4
Solve 582*j**3 - 7849*j**2/2 + 2592*j + 18 = 0 for j.
-2/291, 3/4, 6
Factor 4*d**2 + 472*d.
4*d*(d + 118)
Factor b**3/8 - 3*b**2/4 - 27*b/8.
b*(b - 9)*(b + 3)/8
Suppose -18*n**4/5 + 6*n**3/5 + 2*n**2 + 2*n/5 = 0. Calculate n.
-1/3, 0, 1
Let -5*m**3/2 + 25*m**2/4 - 5*m + 5/4 = 0. Calculate m.
1/2, 1
Factor 2*r**2 - 390*r + 772.
2*(r - 193)*(r - 2)
Find k such that -260*k**2/7 + 15608*k/7 - 480/7 = 0.
2/65, 60
Factor -3*i**4 - 120*i**3 + 126*i**2 + 120*i - 123.
-3*(i - 1)**2*(i + 1)*(i + 41)
Determine t so that -5*t**5 + 10*t**4 + 15*t**3 - 20*t**2 - 20*t = 0.
-1, 0, 2
Let 15*q**4 + 260*q**3 + 1035*q**2 - 810*q = 0. What is q?
-9, 0, 2/3
Solve -54*m**5 + 6*m**4 + 2600*m**3 - 7200*m**2 + 384*m + 1024 = 0.
-8, -1/3, 4/9, 4
Factor -t**5/5 + 22*t**4/5 - 13*t**3 - 676*t**2/5.