*2/3 - 10*h/3 + 5/3 = 0. Calculate h.
1
Factor -i**5/2 + i**4/2 + i**3/2 - i**2/2.
-i**2*(i - 1)**2*(i + 1)/2
Factor 72*k**4/7 - 1272*k**3/7 + 8138*k**2/7 - 3180*k + 3150.
2*(k - 3)**2*(6*k - 35)**2/7
Factor -4*a**5/3 + 80*a**4 - 1596*a**3 + 31768*a**2/3.
-4*a**2*(a - 22)*(a - 19)**2/3
Factor 16*y**3 + 42*y**2 - 18*y.
2*y*(y + 3)*(8*y - 3)
Find d, given that 4*d**4 - 168*d**3 + 2180*d**2 - 8496*d + 6480 = 0.
1, 5, 18
Solve -135*g**5/7 + 603*g**4/7 - 186*g**3/7 - 2088*g**2/7 + 2976*g/7 - 1152/7 = 0 for g.
-2, 4/5, 4/3, 3
Determine r, given that -36*r**3/7 + 85*r**2/7 - 27*r/7 + 2/7 = 0.
1/9, 1/4, 2
Determine g so that 6*g**4/5 + 842*g**3/5 + 4326*g**2/5 + 158*g - 540 = 0.
-135, -5, -1, 2/3
Find p, given that -4*p**4 + 12*p**3 - 16*p = 0.
-1, 0, 2
Determine c, given that -5*c**5 + 5*c**4 + 40*c**3 - 60*c**2 = 0.
-3, 0, 2
Find r such that 3*r**3 + 351*r**2 + 348*r = 0.
-116, -1, 0
Suppose 177*p**4 + 530*p**3 + 528*p**2 + 174*p - 1 = 0. What is p?
-1, 1/177
Let -3*i**3 + 102*i**2 - 960*i + 1536 = 0. What is i?
2, 16
Factor 2*c**3/13 + 5886*c**2/13 + 5774166*c/13 + 1888152282/13.
2*(c + 981)**3/13
Factor 2*i**2/3 + 2998*i/3.
2*i*(i + 1499)/3
Factor -3*w**5 - 27*w**4 - 60*w**3.
-3*w**3*(w + 4)*(w + 5)
Determine q so that -2*q**5/15 - 2*q**4/3 + 36*q**3/5 - 248*q**2/15 + 176*q/15 = 0.
-11, 0, 2
Let q**5 + 2*q**4 - 5*q**3 - 6*q**2 = 0. What is q?
-3, -1, 0, 2
Factor -62*n**2 - 1298*n + 84.
-2*(n + 21)*(31*n - 2)
Factor q**3/3 - 8*q**2.
q**2*(q - 24)/3
Suppose -s**4/3 - 32*s**3/3 + 55*s**2 + 252*s = 0. What is s?
-36, -3, 0, 7
Factor -7*z**2 - 33*z + 10.
-(z + 5)*(7*z - 2)
Suppose 4*j**4 + 44*j**3 + 96*j**2 - 144*j = 0. Calculate j.
-6, 0, 1
Factor z**5/6 + z**4/6 - z**3/6 - z**2/6.
z**2*(z - 1)*(z + 1)**2/6
Find d, given that d**5 + 47*d**4 - 3*d**3 - 143*d**2 - 94*d = 0.
-47, -1, 0, 2
Find i such that -4*i**4 + 6768*i**3 - 4294296*i**2 + 1210991472*i - 128062348164 = 0.
423
Factor -150*r**2 - 155*r - 5.
-5*(r + 1)*(30*r + 1)
Suppose 3*i**3 - 126*i**2 + 1539*i - 4332 = 0. Calculate i.
4, 19
Solve -u**3/8 + 11*u**2/8 + 3*u/2 = 0 for u.
-1, 0, 12
Factor -2*q**2 - 160*q/7.
-2*q*(7*q + 80)/7
What is d in d**2/2 + 64*d + 2048 = 0?
-64
Find n, given that -12*n**4 + 68*n**3 + 204*n**2 + 156*n + 32 = 0.
-1, -1/3, 8
Solve 2*a**4 + 4*a**3 - 30*a**2 = 0 for a.
-5, 0, 3
Factor -4*f**4 + 168*f**3 - 324*f**2 + 160*f.
-4*f*(f - 40)*(f - 1)**2
Determine b so that -5*b**2 - 90*b - 225 = 0.
-15, -3
Factor 3*l**4 - 12*l**3 - 18*l**2 + 12*l + 15.
3*(l - 5)*(l - 1)*(l + 1)**2
Find b such that 4*b**4 - 140*b**3 - 1424*b**2 + 1488*b + 24768 = 0.
-6, 4, 43
Let -295*j**2 - 408*j/7 + 1/7 = 0. Calculate j.
-1/5, 1/413
Solve 21*k**2 - 228*k + 612 = 0.
34/7, 6
Factor 1495729*y**2/7 + 4892*y/7 + 4/7.
(1223*y + 2)**2/7
Factor 2*a**3/17 + 3840*a**2/17 + 1843200*a/17.
2*a*(a + 960)**2/17
Factor -5*k**3 + 10*k**2 + 1045*k - 1050.
-5*(k - 15)*(k - 1)*(k + 14)
Factor -5*r**2 - 3055*r - 3050.
-5*(r + 1)*(r + 610)
Let -2*t**4/5 + 4*t**3 - 62*t**2/5 + 12*t = 0. Calculate t.
0, 2, 3, 5
Solve 3*v**5/5 + 117*v**4/5 - 6*v**3/5 - 234*v**2/5 + 3*v/5 + 117/5 = 0 for v.
-39, -1, 1
Determine d, given that -98*d**5/17 - 3192*d**4/17 - 23458*d**3/17 + 44012*d**2/17 + 1800*d + 272 = 0.
-17, -2/7, 2
Determine t so that -t**2 + 90*t - 2025 = 0.
45
What is c in 4*c**2 - 156*c + 152 = 0?
1, 38
Let c**5 + 7*c**4 - 10*c**3 - 16*c**2 = 0. Calculate c.
-8, -1, 0, 2
Let -2*l**5/19 + 8*l**4/19 + 672*l**3/19 - 5760*l**2/19 = 0. Calculate l.
-20, 0, 12
Factor 5*w**3/2 + 7265*w**2 + 5285280*w + 10541520.
5*(w + 2)*(w + 1452)**2/2
What is n in -n**5/3 - 2*n**4/3 + 3*n**3 + 22*n**2/3 - 4*n/3 - 8 = 0?
-2, 1, 3
Factor -m**3/5 - 124*m**2/5 - 3844*m/5.
-m*(m + 62)**2/5
Solve -5*z**5/2 + 3*z**4 + 111*z**3/10 + 34*z**2/5 + 6*z/5 = 0 for z.
-1, -2/5, 0, 3
Determine a so that 5*a**3/4 + 135*a**2/4 + 285*a/2 + 110 = 0.
-22, -4, -1
Factor -4*p**3/5 - 24*p**2 + 16*p/5 + 96.
-4*(p - 2)*(p + 2)*(p + 30)/5
Determine z so that -2*z**3/11 + 24*z**2/11 + 26*z/11 = 0.
-1, 0, 13
Factor -2*o**2/13 - 10*o/13.
-2*o*(o + 5)/13
Factor 4*n**4/3 - 12*n**3 + 116*n**2/3 - 52*n + 24.
4*(n - 3)**2*(n - 2)*(n - 1)/3
Factor -2*u**3/5 - 266*u**2/5 - 264*u/5.
-2*u*(u + 1)*(u + 132)/5
Suppose -2*p**3/5 - 66*p**2/5 - 558*p/5 - 1134/5 = 0. What is p?
-21, -9, -3
Factor -5*h**4 + 355*h**3 + 60*h**2 - 4180*h - 5680.
-5*(h - 71)*(h - 4)*(h + 2)**2
Suppose 230*r**5 + 2504*r**4/7 + 934*r**3/7 + 16*r**2/7 - 24*r/7 = 0. What is r?
-1, -2/5, -2/7, 0, 3/23
Find q, given that 2*q**5 + 26*q**4 + 96*q**3 + 136*q**2 + 64*q = 0.
-8, -2, -1, 0
Factor 2*n**4 - 4*n**3 - 78*n**2 - 136*n - 64.
2*(n - 8)*(n + 1)**2*(n + 4)
Suppose -u**3/3 - 820*u**2/3 - 56576*u - 221952 = 0. Calculate u.
-408, -4
Find m, given that -4*m**5/9 + 73*m**4/9 - 11*m**3/9 - 127*m**2/9 + 5*m/3 + 6 = 0.
-1, -3/4, 1, 18
Determine n, given that 4*n**2 - 41488*n + 107578384 = 0.
5186
Suppose -23*j**4/3 + 227*j**3/6 - 307*j**2/6 + 39*j/2 + 3/2 = 0. Calculate j.
-3/46, 1, 3
Factor 5*l**4 + 1760*l**3 + 134310*l**2 - 3620320*l + 21156245.
5*(l - 11)**2*(l + 187)**2
Solve -4*u**2 - 124*u - 232 = 0.
-29, -2
Factor -50*v**4 + 970*v**3 - 4182*v**2 - 5202*v.
-2*v*(v + 1)*(5*v - 51)**2
Suppose 6*t**3 + 98*t**2 + 204*t + 112 = 0. What is t?
-14, -4/3, -1
Factor 2*w**3/3 + 68*w**2 + 982*w/3 + 388.
2*(w + 2)*(w + 3)*(w + 97)/3
Factor 2*b**3/3 + 8*b**2/3 - 62*b/3 - 140/3.
2*(b - 5)*(b + 2)*(b + 7)/3
Factor 2*z**4 + 121*z**3 + 177*z**2 - z - 59.
(z + 1)**2*(z + 59)*(2*z - 1)
Solve 3*o**4 - 18*o**3 + 27*o**2 = 0 for o.
0, 3
Solve 2*y**2 + 442*y + 876 = 0 for y.
-219, -2
Suppose -2*b**5/19 - 22*b**4/19 - 18*b**3/19 + 206*b**2/19 - 260*b/19 + 96/19 = 0. What is b?
-8, -6, 1
Let 3*a**2/5 + 372*a/5 + 924 = 0. What is a?
-110, -14
What is b in 5*b**3 - 50*b**2 - 5*b + 50 = 0?
-1, 1, 10
Factor -j**3/2 - 4*j**2 + 11*j/2 + 9.
-(j - 2)*(j + 1)*(j + 9)/2
Factor r**3/5 + 29*r**2/5 + 35*r + 147/5.
(r + 1)*(r + 7)*(r + 21)/5
Find k, given that -5*k**4 - 565*k**3 - 2195*k**2 - 1635*k = 0.
-109, -3, -1, 0
Factor -2*r**3 + 48*r**2 - 384*r + 1024.
-2*(r - 8)**3
Factor -f**3/2 + 16*f**2 + f/2 - 16.
-(f - 32)*(f - 1)*(f + 1)/2
Determine o, given that -5*o**3/2 + 25*o**2 + 1120*o - 14080 = 0.
-22, 16
Find f such that 5*f**4 - 15*f**3 - 25*f**2 + 15*f + 20 = 0.
-1, 1, 4
Factor 2*h**5 + 8*h**4 - 30*h**3 - 36*h**2.
2*h**2*(h - 3)*(h + 1)*(h + 6)
Solve 3*b**4/5 - 39*b**3/5 + 63*b**2/5 + 51*b + 30 = 0 for b.
-1, 5, 10
Find v such that 3*v**4/2 + 15*v**3/2 + 3*v**2 - 30*v - 36 = 0.
-3, -2, 2
Factor j**2/4 - 137*j.
j*(j - 548)/4
Factor 2*c**3 + 16*c**2 + 18*c - 36.
2*(c - 1)*(c + 3)*(c + 6)
Factor 4*x**2 - 8*x - 140.
4*(x - 7)*(x + 5)
Solve 2*x**5/3 - 10*x**4/3 - 304*x**3/3 - 280*x**2 + 384*x = 0 for x.
-6, 0, 1, 16
Factor -45*y**4 + 870*y**3 - 4745*y**2 + 5220*y - 1620.
-5*(y - 9)**2*(3*y - 2)**2
Factor -125*d**3 + 1725*d**2 - 7695*d + 10935.
-5*(d - 3)*(5*d - 27)**2
Factor h**5 + 7*h**4 - 28*h**3 + 20*h**2.
h**2*(h - 2)*(h - 1)*(h + 10)
Solve 2*r**5 + 8*r**4 - 58*r**3 + 56*r**2 + 56*r - 64 = 0.
-8, -1, 1, 2
Factor -3*m**2 - 1530*m - 195075.
-3*(m + 255)**2
Factor -2*c**2 - 160*c + 672.
-2*(c - 4)*(c + 84)
Factor -4*m**2 - 36*m.
-4*m*(m + 9)
Suppose 13*x**4/2 - 53*x**3 - 101*x**2/2 + 9*x = 0. What is x?
-1, 0, 2/13, 9
Determine c, given that 2*c**2/19 + 98*c/19 + 276/19 = 0.
-46, -3
Factor -v**2/3 - v + 4/3.
-(v - 1)*(v + 4)/3
Find x, given that 2*x**3/7 + 124*x**2/7 + 1880*x/7 + 1200 = 0.
-42, -10
Factor r**2 - 18*r + 45.
(r - 15)*(r - 3)
Factor 2*y**3/7 + 762*y**2/7 + 96774*y/7 + 4096766/7.
2*(y + 127)**3/7
Factor -4*r**3 + 48*r**2 - 44*r.
-4*r*(r - 11)*(r - 1)
Determine l, given that l**2/2 + 98*l - 1005/2 = 0.
-201, 5
Solve -t**3 + 2*t**2 = 0 for t.
0, 2
Solve 2*k**2/11 - 4*k + 144/11 = 0 for k.
4, 18
What is t in -2*t**2 + 490*t + 1992 = 0?
-4, 249
Find l, given that 2*l**2 - 48*l - 770 = 0.
-11, 35
Find y, given that -3*y**3 + 3450*y**2 - 991875*y = 0.
0, 575
Factor 3*v**3/4 + 387*v**2/4 + 16641*v/4 + 238521/4.
3*(v + 43)**3/4
Factor 5*t**5 - 110*t**4 - 240*t**3 - 10*t**2 + 235*t + 120.
5*(t - 24)*(t - 1)*(t + 1)**3
Solve p**2 - 43*p + 450 = 0.
18, 25
Factor 2*m**3 + 132*m**2 + 2904*m + 21296.
2*(m + 22)**3
Let -v**2/4 - 9*v/4 + 34 = 0. What is v?
-17, 8
Let 6050*g**2/3 - 440*g/3 + 8/3 = 0. What is g?
2/55
Determine x so that 20*x