 4*p**3 + 84*p**2 - 736*p + 1344 = 0. Calculate p.
-28, 3, 4
Factor -2*m**5 + 18*m**4 - 10*m**3 - 58*m**2 + 84*m - 32.
-2*(m - 8)*(m - 1)**3*(m + 2)
Factor 2*r**3/11 - 50*r**2/11 + 356*r/11 - 48.
2*(r - 12)*(r - 11)*(r - 2)/11
Factor 50*n**5 + 20*n**4 - 128*n**3 + 64*n**2.
2*n**2*(n + 2)*(5*n - 4)**2
Solve 4*i**4 - 132*i**3 + 252*i**2 - 124*i = 0.
0, 1, 31
Suppose -2*k**2/5 - 1768*k/5 - 1766/5 = 0. Calculate k.
-883, -1
Factor -u**2/9 - 5*u/9 + 2/3.
-(u - 1)*(u + 6)/9
Factor 2*k**3/9 + 2*k**2/3 - 4*k.
2*k*(k - 3)*(k + 6)/9
Find w such that -11*w**2/3 + 71*w/3 + 14 = 0.
-6/11, 7
Solve -16*o**4 - 90*o**3 - 108*o**2 + 54*o = 0.
-3, 0, 3/8
Find y such that -2*y**3/11 - 544*y**2/11 - 36992*y/11 = 0.
-136, 0
Factor z**4/10 + 39*z**3/10 - 84*z**2/5 + 86*z/5.
z*(z - 2)**2*(z + 43)/10
Determine u, given that 3*u**4 - 108*u**3 - 114*u**2 + 108*u + 111 = 0.
-1, 1, 37
Factor -1756008*d**4 + 45686484*d**3 - 787350*d**2 + 13573*d/3 - 26/3.
-(d - 26)*(174*d - 1)**3/3
Find t, given that 4*t**2 - 2664*t + 443556 = 0.
333
Solve 2*r**3/13 - 74*r**2/13 + 902*r/13 - 3630/13 = 0.
11, 15
Factor j**4 - 79*j**3 + 2340*j**2 - 30800*j + 152000.
(j - 20)**3*(j - 19)
Determine r so that 3*r**2 + 3135*r = 0.
-1045, 0
Solve 5*k**2 + 745*k - 15030 = 0.
-167, 18
Suppose -2*n**5 - 42*n**4 - 148*n**3 + 1836*n**2 + 12150*n + 10206 = 0. Calculate n.
-9, -1, 7
Factor -t**3/9 - 7*t**2/3 - 38*t/9.
-t*(t + 2)*(t + 19)/9
Factor 5*i**3 + 205*i**2 + 2320*i + 8000.
5*(i + 8)**2*(i + 25)
Factor 2*g**3 + 10*g**2 - 12*g.
2*g*(g - 1)*(g + 6)
Factor -2*f**4/9 + 4*f**3/3 - 26*f**2/9 + 8*f/3 - 8/9.
-2*(f - 2)**2*(f - 1)**2/9
Factor -3*p**4 + 69*p**3 - 354*p**2 - 576*p + 864.
-3*(p - 12)**2*(p - 1)*(p + 2)
Suppose 2*u**3/9 - 4*u**2 + 10*u = 0. What is u?
0, 3, 15
Factor s**5/3 + 2*s**4 + 13*s**3/3 + 4*s**2 + 4*s/3.
s*(s + 1)**2*(s + 2)**2/3
Factor -3*y**3/5 + 189*y**2/5 - 552*y.
-3*y*(y - 40)*(y - 23)/5
Let 2*d**2/7 - 116*d/7 + 432/7 = 0. Calculate d.
4, 54
Factor -5*l**5 + 55*l**4 - 170*l**3 + 230*l**2 - 145*l + 35.
-5*(l - 7)*(l - 1)**4
Factor -4*c**2/7 - 56*c - 768/7.
-4*(c + 2)*(c + 96)/7
Solve -4*c**5/3 + 8*c**4/3 + 16*c**3 - 32*c**2/3 - 128*c/3 = 0 for c.
-2, 0, 2, 4
Determine a so that -a**5/2 - 3*a**4/2 - 3*a**3/2 - a**2/2 = 0.
-1, 0
Determine l, given that 2*l**5/5 + 4*l**4 - 18*l**3/5 - 356*l**2/5 - 224*l/5 + 576/5 = 0.
-9, -4, -2, 1, 4
Factor 12*l**3 + 1060*l**2 + 23584*l + 7744.
4*(l + 44)**2*(3*l + 1)
Factor 4*n**3 + 220*n**2 - 4*n - 220.
4*(n - 1)*(n + 1)*(n + 55)
Factor -5*o**3 + 400*o**2 - 10465*o + 89930.
-5*(o - 34)*(o - 23)**2
Suppose -288*y**4 - 24*y**3 - y**2/2 = 0. What is y?
-1/24, 0
Suppose 3*j**4/4 + 6*j**3 + 33*j**2/4 - 6*j - 9 = 0. What is j?
-6, -2, -1, 1
Factor 5*m**5 - 15*m**4 - 20*m**3.
5*m**3*(m - 4)*(m + 1)
Suppose 15*r**2 + 35*r - 30 = 0. What is r?
-3, 2/3
Suppose -o**4 - 45*o**3 - 314*o**2 + 360*o = 0. Calculate o.
-36, -10, 0, 1
Solve u**4/5 - 41*u**3/5 + 473*u**2/5 - 1147*u/5 + 714/5 = 0 for u.
1, 2, 17, 21
Factor h**2 + 13*h - 608.
(h - 19)*(h + 32)
What is o in -2*o**2 - 86*o + 88 = 0?
-44, 1
Find o, given that -o**4/3 - o**3/3 + 53*o**2/3 - 53*o + 36 = 0.
-9, 1, 3, 4
What is w in -w**2/2 + 779*w/6 - 259/3 = 0?
2/3, 259
Suppose -470*p**2/9 + 158*p/3 - 4/9 = 0. What is p?
2/235, 1
Factor 1587*t**4 - 9246*t**3 + 12639*t**2 + 2412*t + 108.
3*(t - 3)**2*(23*t + 2)**2
Find b such that -5*b**5 - 25*b**4 - 15*b**3 + 25*b**2 + 20*b = 0.
-4, -1, 0, 1
Factor n**3 - 698*n**2 - 699*n.
n*(n - 699)*(n + 1)
Find b such that -16*b**3/5 - 1448*b**2/5 - 1077*b/5 = 0.
-359/4, -3/4, 0
Factor 2*f**5/5 + 8*f**4/5 + 12*f**3/5 + 8*f**2/5 + 2*f/5.
2*f*(f + 1)**4/5
Let -9*r**3 - 231*r**2 - 1299*r + 459 = 0. Calculate r.
-17, -9, 1/3
Find v, given that 9*v**4/4 + 113*v**3/4 + 443*v**2/4 + 455*v/4 - 75 = 0.
-5, -3, 4/9
Solve -o**5 + 626*o**4 - 97969*o**3 = 0.
0, 313
Find i, given that -i**4 - 108*i**3 - 3022*i**2 - 5724*i - 2809 = 0.
-53, -1
Suppose 2*v**3 + 34*v**2 - 2*v - 34 = 0. What is v?
-17, -1, 1
Factor -3*d**3/5 - 52*d**2/5 + 93*d/5 - 38/5.
-(d - 1)*(d + 19)*(3*d - 2)/5
Solve k**3/6 + 1139*k**2/2 + 486780*k + 1458632/3 = 0 for k.
-1708, -1
Find h, given that 3*h**2/7 + 39*h/7 + 90/7 = 0.
-10, -3
Let 2*h**3/7 - 74*h**2/7 + 782*h/7 - 1734/7 = 0. Calculate h.
3, 17
Factor -p**4/3 + 3*p**3 - 76*p/3 + 32.
-(p - 8)*(p - 2)**2*(p + 3)/3
Factor 2*w**3 + 102*w**2/7 + 4*w.
2*w*(w + 7)*(7*w + 2)/7
Factor -4*u**2/9 + 352*u/9 - 7744/9.
-4*(u - 44)**2/9
Factor 3*r**3 + 21*r**2 + 18*r.
3*r*(r + 1)*(r + 6)
Factor s**3/2 + 26*s**2 + 240*s.
s*(s + 12)*(s + 40)/2
Let -w**3 - 195*w**2 - 9792*w - 27648 = 0. What is w?
-96, -3
Suppose -9*k**2 - 106*k - 225 = 0. Calculate k.
-9, -25/9
Let -v**4/4 + 31*v**3/2 - 231*v**2/4 - 31*v/2 + 58 = 0. What is v?
-1, 1, 4, 58
Determine t so that 4*t**2 - 3100*t - 6216 = 0.
-2, 777
Let 2*x**3/17 - 2*x**2/17 - 28*x/17 + 48/17 = 0. What is x?
-4, 2, 3
Determine a, given that a**4/5 + 11*a**3/5 - a**2/5 - 11*a/5 = 0.
-11, -1, 0, 1
Suppose -5*c**4 - 490*c**3 + 3120*c**2 = 0. What is c?
-104, 0, 6
Factor -76*d**3/3 - 52*d**2/3 + 8*d.
-4*d*(d + 1)*(19*d - 6)/3
Let 2*r**5/3 + 6*r**4 + 4*r**3 - 32*r**2/3 = 0. What is r?
-8, -2, 0, 1
Factor -z**3/5 + 8*z**2/5.
-z**2*(z - 8)/5
What is h in 5*h**5 + 20*h**4 - 120*h**3 - 70*h**2 + 275*h + 210 = 0?
-7, -1, 2, 3
Find k such that -3*k**2/7 + 36*k/7 - 33/7 = 0.
1, 11
Factor -2*u**4 - 316*u**3 - 1848*u**2 - 3664*u - 2432.
-2*(u + 2)**3*(u + 152)
Solve 3*p**2 - 102*p + 867 = 0.
17
Let 2*m**5/7 + 16*m**4/7 - 312*m**3/7 + 864*m**2/7 = 0. Calculate m.
-18, 0, 4, 6
Factor 80*r**5 + 280*r**4 + 125*r**3 + 15*r**2.
5*r**2*(r + 3)*(4*r + 1)**2
What is x in -5*x**5 + 30*x**4 + 135*x**3 - 560*x**2 - 1380*x - 720 = 0?
-4, -1, 6
Let -98*j**5 - 14*j**4 + 262*j**3 - 186*j**2 + 36*j = 0. Calculate j.
-2, 0, 3/7, 1
Determine g, given that 3*g**5 - 45*g**4 + 225*g**3 - 435*g**2 + 360*g - 108 = 0.
1, 6
Factor -3*b**2 - 114*b + 369.
-3*(b - 3)*(b + 41)
Factor -5*g**3 - 45*g**2 + 50*g.
-5*g*(g - 1)*(g + 10)
Find y, given that -y**5/3 - 3*y**4 - 19*y**3/3 - y**2 + 20*y/3 + 4 = 0.
-6, -2, -1, 1
Factor y**2 + 72*y + 71.
(y + 1)*(y + 71)
Factor 2*a**4/5 - 112*a**3/5 + 1676*a**2/5 - 3024*a/5 + 1458/5.
2*(a - 27)**2*(a - 1)**2/5
Determine q so that 5*q**4 - 3265*q**3 + 6510*q**2 = 0.
0, 2, 651
Let -2*m**2 - 712*m - 710 = 0. What is m?
-355, -1
Factor -2*c**3 + 26*c**2 + 58*c + 30.
-2*(c - 15)*(c + 1)**2
Find r such that 7*r**3 - 128*r**2 + 36*r = 0.
0, 2/7, 18
Determine a, given that 105*a**5/2 - 1100*a**4 + 5140*a**3 + 6705*a**2 - 385*a/2 - 605 = 0.
-1, -1/3, 2/7, 11
Let p**4/2 - 81*p**3/2 + 379*p**2/2 + 81*p/2 - 190 = 0. Calculate p.
-1, 1, 5, 76
Determine l so that 3*l**3/4 + 87*l**2/2 - 3*l/4 - 87/2 = 0.
-58, -1, 1
Factor 4*f**2/7 + 128*f/7 - 132/7.
4*(f - 1)*(f + 33)/7
Find b, given that -2*b**5/5 - 2*b**4 + 6*b**3/5 + 26*b**2/5 - 4*b = 0.
-5, -2, 0, 1
Determine h, given that h**3 - 20*h**2 + 68*h - 64 = 0.
2, 16
What is i in -i**2 - 17*i + 18 = 0?
-18, 1
Determine y so that 4*y**3 + 28*y**2 - 216*y + 288 = 0.
-12, 2, 3
Factor -2*g**3/23 - 14*g**2/23 - 28*g/23 - 16/23.
-2*(g + 1)*(g + 2)*(g + 4)/23
Factor u**2/2 - 11*u + 36.
(u - 18)*(u - 4)/2
Factor 2*o**4/9 - 4*o**3/9 - 2*o**2/3 + 16*o/9 - 8/9.
2*(o - 2)*(o - 1)**2*(o + 2)/9
Factor m**4/9 + 5*m**3/3 + 13*m**2/3 + 37*m/9 + 4/3.
(m + 1)**3*(m + 12)/9
Factor 15*r**4 + 96*r**3 + 171*r**2 + 114*r + 24.
3*(r + 1)**2*(r + 4)*(5*r + 2)
Find h, given that 3*h**2/2 - 12*h + 21/2 = 0.
1, 7
Determine w so that 2*w**4 - 18*w**2 - 8*w + 24 = 0.
-2, 1, 3
Solve l**5/3 + 19*l**4/3 + 46*l**3 + 162*l**2 + 279*l + 189 = 0 for l.
-7, -3
Factor 2*o**2/7 + 320*o/7 - 978/7.
2*(o - 3)*(o + 163)/7
Find y such that y**3/2 + 8*y**2 + 29*y/2 + 7 = 0.
-14, -1
Factor -j**4 - 12*j**3 + j**2 + 12*j.
-j*(j - 1)*(j + 1)*(j + 12)
Factor 5*v**3 + 558*v**2 + 876*v - 440.
(v + 2)*(v + 110)*(5*v - 2)
Factor -2*t**2/5 + 378*t/5 - 748/5.
-2*(t - 187)*(t - 2)/5
What is o in o**2/3 + 136*o/3 - 1460/3 = 0?
-146, 10
Let -g**2/5 + 69*g/5 - 68/5 = 0. Calculate g.
1, 68
Solve -4*c**5/7 - 176*c**4/7 - 300*c**3 - 504*c**2 = 0 for c.
-21, -2, 0
Suppose 3*p**4/5 - 144*p**3/5 + 414*p**2/5 - 408*p/5 + 27 = 0. What is p?
1, 45
Factor -2*b**2/3 + 3968*b/3 + 2648.
-2*(b - 1986)*(b + 2)/3
Let -2*l**2/5 + 456*l/5 - 25992/5 = 0. What is l?
114
Find g, g