nd w, given that w**2 - 2222*w + 1234321 = 0.
1111
Factor 2*r**4/9 - 2*r**2/9.
2*r**2*(r - 1)*(r + 1)/9
Factor -3*o**3 + 339*o**2 - 10368*o + 43740.
-3*(o - 54)**2*(o - 5)
Suppose -5*m**5 - 45*m**4 - 100*m**3 + 80*m**2 + 480*m + 400 = 0. What is m?
-5, -2, 2
Factor -4*w**3 - 8*w**2 + 36*w + 72.
-4*(w - 3)*(w + 2)*(w + 3)
Factor 5*q**3 - 45*q.
5*q*(q - 3)*(q + 3)
Factor -z**3/3 + 67*z**2/3 - 304*z.
-z*(z - 48)*(z - 19)/3
Factor 2*h**4/9 - 2*h**3 + 4*h**2.
2*h**2*(h - 6)*(h - 3)/9
Suppose 8*d**4/5 - 18*d**3/5 - 124*d**2/5 + 288*d/5 - 64/5 = 0. What is d?
-4, 1/4, 2, 4
Factor -2*k**4 - 16*k**3 - 30*k**2 + 16*k + 32.
-2*(k - 1)*(k + 1)*(k + 4)**2
Factor -15*f**2 + 114*f + 48.
-3*(f - 8)*(5*f + 2)
Factor -x**2/5 + 752*x/5 - 141376/5.
-(x - 376)**2/5
Factor -h**3/4 - 2*h**2 + 11*h - 12.
-(h - 2)**2*(h + 12)/4
Let -2*q**5 - 2*q**4 + 12*q**3 + 8*q**2 - 16*q = 0. Calculate q.
-2, 0, 1, 2
Factor 81*x**2 - 795*x - 150.
3*(x - 10)*(27*x + 5)
Factor -2*q**4/5 + 14*q**3/5 - 6*q**2 + 18*q/5.
-2*q*(q - 3)**2*(q - 1)/5
Solve -y**3 - 82*y**2/3 - 101*y - 92/3 = 0.
-23, -4, -1/3
Factor -2*j**3/3 - 16*j**2/3 + 62*j/3 - 44/3.
-2*(j - 2)*(j - 1)*(j + 11)/3
Factor -15*t**4 + 42*t**3 + 27*t**2 - 54*t.
-3*t*(t - 3)*(t - 1)*(5*t + 6)
Suppose 38*k**4 + 130*k**3 + 124*k**2 + 32*k = 0. Calculate k.
-2, -1, -8/19, 0
Factor -4*h**3 + 220*h**2 - 208*h - 432.
-4*(h - 54)*(h - 2)*(h + 1)
Solve -3*f**3/4 - 69*f**2/2 + 141*f/4 = 0.
-47, 0, 1
Solve 3*x**3 - 195*x**2 + 3864*x - 21168 = 0 for x.
9, 28
Factor l**5/3 - 2*l**3/3 + l/3.
l*(l - 1)**2*(l + 1)**2/3
Factor -2*p**2/7 + 158*p/7 - 876/7.
-2*(p - 73)*(p - 6)/7
Factor 2*a**4/11 - 316*a**3/11 + 13098*a**2/11 - 4424*a + 4312.
2*(a - 77)**2*(a - 2)**2/11
Suppose h**5/3 + h**4 - 25*h**3/3 + 25*h**2/3 + 8*h - 28/3 = 0. Calculate h.
-7, -1, 1, 2
Factor -12*r**2 + 339*r - 84.
-3*(r - 28)*(4*r - 1)
Solve -2*r**4/5 + 32*r**3/5 - 94*r**2/5 - 272*r/5 + 1056/5 = 0.
-3, 4, 11
Determine g so that -2*g**3/7 + 796*g**2/7 = 0.
0, 398
Factor -2*v**4 - 2016*v**3 - 762048*v**2 - 128024064*v - 8065516032.
-2*(v + 252)**4
Factor 2*q**3/19 - 158*q**2/19 + 2070*q/19 + 44550/19.
2*(q - 45)**2*(q + 11)/19
Factor -3*p**2/7 + 33*p.
-3*p*(p - 77)/7
Determine n so that -n**4 - 3*n**3 + 14*n**2 + 48*n + 32 = 0.
-4, -2, -1, 4
Factor -1088*p**3 - 100*p**2 - 2*p.
-2*p*(16*p + 1)*(34*p + 1)
Factor 4*a**3 + 12*a**2 - 4*a - 12.
4*(a - 1)*(a + 1)*(a + 3)
Find p such that p**5/4 - 5*p**4/4 - 49*p**3/2 + 373*p**2/2 - 1183*p/4 + 539/4 = 0.
-11, 1, 7
Find w such that -4*w**2 - 36*w + 88 = 0.
-11, 2
Find o such that -3*o**4/4 - 9*o**3/2 + 153*o**2/4 - 33*o = 0.
-11, 0, 1, 4
Factor 4*z**3 + 164*z**2 + 1760*z + 1600.
4*(z + 1)*(z + 20)**2
Find w such that -w**5 - 14*w**4 + 21*w**3 + 90*w**2 = 0.
-15, -2, 0, 3
Factor p**4/3 - p**3 - 53*p**2/3 + 85*p - 200/3.
(p - 5)**2*(p - 1)*(p + 8)/3
Solve -2*r**2/13 + 50/13 = 0 for r.
-5, 5
Determine r so that r**2/4 + 25*r/4 - 27/2 = 0.
-27, 2
Find i, given that -i**2 + 1344*i - 451584 = 0.
672
Factor -s**2 - 1084*s - 293764.
-(s + 542)**2
Let 2*z**2/9 - 118*z/9 + 212/3 = 0. What is z?
6, 53
Determine u so that u**3/2 + 15*u**2/2 - 8*u = 0.
-16, 0, 1
Determine n, given that -12*n**4/7 + 320*n**3 - 3704*n**2/7 + 736*n/7 + 740/7 = 0.
-1/3, 1, 185
Factor -3*y**3/5 + 366*y**2 + 3*y/5 - 366.
-3*(y - 610)*(y - 1)*(y + 1)/5
Solve -l**4/5 - l**3 + 32*l**2/5 - 36*l/5 = 0.
-9, 0, 2
Let 10*z**5/9 - 28*z**4 - 478*z**3/9 - 24*z**2 = 0. Calculate z.
-1, -4/5, 0, 27
Find w, given that w**3/3 + 3*w**2 + 20*w/3 + 4 = 0.
-6, -2, -1
Factor -31*o**2 - 60*o + 4.
-(o + 2)*(31*o - 2)
Suppose -24*h**5 - 618*h**4 + 2913*h**3 - 4323*h**2 + 2592*h - 540 = 0. Calculate h.
-30, 1/2, 3/4, 1, 2
Determine n so that 3*n**5/8 + 15*n**4/8 + 21*n**3/8 - 3*n**2/8 - 3*n - 3/2 = 0.
-2, -1, 1
Let 4*j**3 + 140*j**2 + 268*j + 132 = 0. Calculate j.
-33, -1
Factor 2*f**4 + 416*f**3 + 21630*f**2 - 416*f - 21632.
2*(f - 1)*(f + 1)*(f + 104)**2
Determine l so that -2*l**4/7 + 24*l**3/7 - 6*l**2 - 124*l/7 + 144/7 = 0.
-2, 1, 4, 9
Factor -d**2/3 - 29*d/3 + 170/3.
-(d - 5)*(d + 34)/3
Factor -2*j**3 - 6*j**2 + 2*j + 6.
-2*(j - 1)*(j + 1)*(j + 3)
Factor -338*h**3 + 14014*h**2 - 6414*h + 738.
-2*(h - 41)*(13*h - 3)**2
Suppose 2*p**5 - 12*p**4 + 14*p**3 + 36*p**2 - 88*p + 48 = 0. Calculate p.
-2, 1, 2, 3
Factor -2*i**3/11 - 236*i**2/11 - 5922*i/11 + 63504/11.
-2*(i - 8)*(i + 63)**2/11
Determine l, given that l**4 - 26*l**3/3 + 31*l**2/3 + 140*l/3 - 100/3 = 0.
-2, 2/3, 5
Factor 45*h**2 + 4510*h + 1000.
5*(h + 100)*(9*h + 2)
Solve -22*f**4/5 - 332*f**3/15 - 538*f**2/15 - 56*f/3 - 8/15 = 0 for f.
-2, -1, -1/33
Factor -m**2/2 + 351*m/2 + 890.
-(m - 356)*(m + 5)/2
Factor 720*p**4 - 4440*p**3 + 7205*p**2 - 1110*p + 45.
5*(p - 3)**2*(12*p - 1)**2
Solve -g**5 - g**4 + 5*g**3 - 3*g**2 = 0.
-3, 0, 1
Determine n, given that n**4/3 + 14*n**3/3 + 25*n**2/3 + 4*n = 0.
-12, -1, 0
Find j such that 25*j**5 - 2505*j**4 - 2068*j**3 + 24352*j**2/5 - 11328*j/5 + 1616/5 = 0.
-2, 2/5, 101
Factor z**2/7 - 38*z/7 - 80/7.
(z - 40)*(z + 2)/7
Factor 2*l**3 - 96*l**2 - 1110*l - 2900.
2*(l - 58)*(l + 5)**2
Suppose -5*x**4 - 180*x**3 - 910*x**2 + 14700*x + 15435 = 0. What is x?
-21, -1, 7
Find l such that l**5 - 3*l**4 - 46*l**3 - 78*l**2 + 45*l + 81 = 0.
-3, -1, 1, 9
Suppose -i**2/2 - 75*i/2 - 37 = 0. What is i?
-74, -1
What is f in 2*f**2 - 732*f = 0?
0, 366
Factor -1530169*v**2/2 + 2474*v - 2.
-(1237*v - 2)**2/2
Suppose 5*x**3 + 110*x**2 + 520*x + 640 = 0. Calculate x.
-16, -4, -2
Let 2*m**2 - 17*m + 8 = 0. What is m?
1/2, 8
Suppose -a**5/4 + 15*a**4/4 + 91*a**3/4 + 173*a**2/4 + 69*a/2 + 10 = 0. Calculate a.
-2, -1, 20
Factor -q**3 - 705*q**2 - 124608*q - 123904.
-(q + 1)*(q + 352)**2
Solve s**4 + 99*s**3 + 2622*s**2 - 10108*s - 823080 = 0 for s.
-38, 15
Factor d**2/7 - 62*d/7 + 961/7.
(d - 31)**2/7
Factor -405*r**2 + 6*r.
-3*r*(135*r - 2)
Factor 38*a**3/9 - 104*a**2/3 - 30*a.
2*a*(a - 9)*(19*a + 15)/9
What is f in f**2/11 + 7*f/11 - 18/11 = 0?
-9, 2
Let -n**3 + 12*n + 16 = 0. Calculate n.
-2, 4
Factor -b**2 + 168*b - 7056.
-(b - 84)**2
Solve -36*m**4 + 188*m**3 - 292*m**2 + 164*m - 24 = 0.
2/9, 1, 3
Factor 3*a**5 - 18*a**4 - 93*a**3 + 108*a**2.
3*a**2*(a - 9)*(a - 1)*(a + 4)
Factor 2*b**2/7 + 740*b/7 + 68450/7.
2*(b + 185)**2/7
Solve -17*g**3 - 66*g**2 + 93*g - 10 = 0.
-5, 2/17, 1
Factor 4*k**3 + 1416*k**2 + 1412*k.
4*k*(k + 1)*(k + 353)
Let 3*h**4 + 462*h**3 + 912*h**2 = 0. What is h?
-152, -2, 0
What is b in 7*b**5/3 + 4058*b**4/3 + 587540*b**3/3 - 168200*b**2/3 = 0?
-290, 0, 2/7
Factor y**3/5 - 3*y**2 + 27*y/5 - 13/5.
(y - 13)*(y - 1)**2/5
Factor 4*v**4/7 + 7*v**3 + 156*v**2/7 + 36*v/7.
v*(v + 6)**2*(4*v + 1)/7
Find z such that 3*z**3 - 12*z**2 - 63*z = 0.
-3, 0, 7
Factor f**2/3 + 2*f - 112/3.
(f - 8)*(f + 14)/3
Factor -3*p**3/8 + 51*p**2/4 - 189*p/2 - 243.
-3*(p - 18)**2*(p + 2)/8
Factor -g**3/4 + 7*g**2/4 - 7*g/4 - 15/4.
-(g - 5)*(g - 3)*(g + 1)/4
Factor 2*x**3/13 - 12654*x**2/13 + 20021790*x/13 - 20009138/13.
2*(x - 3163)**2*(x - 1)/13
Suppose 2*o**5 + 46*o**4 + 102*o**3 - 414*o**2 - 1080*o = 0. What is o?
-20, -3, 0, 3
Factor -3*k**2 + 1014*k + 3069.
-3*(k - 341)*(k + 3)
Find q such that 3*q**3/4 - 123*q**2/4 + 57*q/2 + 60 = 0.
-1, 2, 40
Suppose -2*t**4 + 76*t**3 + 528*t**2 = 0. What is t?
-6, 0, 44
Determine z so that -z**5/8 - 4*z**4 - 249*z**3/8 - 335*z**2/4 - 179*z/2 - 33 = 0.
-22, -6, -2, -1
Factor 25*l**2 - 115*l - 50.
5*(l - 5)*(5*l + 2)
Let u**3/3 - 293*u**2/3 + 872*u/3 - 580/3 = 0. What is u?
1, 2, 290
Suppose -m**2 - 54*m + 952 = 0. What is m?
-68, 14
Factor -x**3/5 - 5*x**2 + 146*x/5 - 24.
-(x - 4)*(x - 1)*(x + 30)/5
Let -4*i**5 - 48*i**4 - 84*i**3 - 40*i**2 = 0. What is i?
-10, -1, 0
Factor 2*u**4/9 - 52*u**3/3 + 34*u**2 - 152*u/9.
2*u*(u - 76)*(u - 1)**2/9
Find r such that 8*r**4 - 75*r**3 - 53*r**2 + 30*r = 0.
-1, 0, 3/8, 10
Factor 9*y**2 - 367*y - 82.
(y - 41)*(9*y + 2)
Factor -54*t**5/7 - 29808*t**4/7 - 29772*t**3/7 - 9920*t**2/7 - 1102*t/7.
-2*t*(t + 551)*(3*t + 1)**3/7
Let -5*j**5 + 85*j**4 - 450*j**3 + 650*j**2 + 455*j - 735 = 0. What is j?
-1, 1, 3, 7
What is h in 4*h**3/3 - 20*h**2/3 + 16*h/3 = 0?
0, 1, 4
What is g in -2*g**3/3 + 8*g**2 - 40*g/3 = 0?
0, 2, 10
Factor -c**2 + 181*c + 366.
-(c - 183)*(c + 2)
Factor -5*n**4 - 1455*n**3 - 106575*n**2 - 105125*n.
-5*n*(n + 1)*(n + 145)**2