 1)*(h + 1)
Let 29*h**3/3 - h**2/3 = 0. Calculate h.
0, 1/29
Factor 20*z**4 - 8*z**3 - 60*z**2 - 16*z + 16.
4*(z - 2)*(z + 1)**2*(5*z - 2)
Factor -i**5/5 + 3*i**4 - 48*i**3/5 - 64*i**2/5.
-i**2*(i - 8)**2*(i + 1)/5
Determine h, given that 2*h**3 + 8*h**2 = 0.
-4, 0
Factor h**2/8 - 95*h/8 - 12.
(h - 96)*(h + 1)/8
Factor -5*m**3/4 + 347*m**2/4 - 5915*m/4 - 3675/4.
-(m - 35)**2*(5*m + 3)/4
Factor -5*d**4 - 50*d**3 + 335*d**2 - 580*d + 300.
-5*(d - 2)**2*(d - 1)*(d + 15)
Find a such that -6*a**2/7 - 5352*a/7 - 1193496/7 = 0.
-446
Determine y, given that 2*y**2/5 + 262*y = 0.
-655, 0
Solve -2*u**4/11 + 50*u**3/11 - 366*u**2/11 + 50*u + 88 = 0 for u.
-1, 4, 11
Solve -4*s**2/3 + 88*s - 1452 = 0 for s.
33
Determine g, given that -3*g**3/8 - 15*g**2/4 - 12*g - 12 = 0.
-4, -2
Suppose -4*j**4 - 48*j**3 - 36*j**2 + 488*j + 480 = 0. What is j?
-10, -4, -1, 3
Let 2*u**2 + 22*u + 20 = 0. What is u?
-10, -1
Solve 3*d**4/4 - 15*d**2/4 + 3 = 0 for d.
-2, -1, 1, 2
Factor -10*z**4 + 25*z**3 - 20*z**2 + 5*z.
-5*z*(z - 1)**2*(2*z - 1)
Factor -8*x**3 - 27*x**2 - 9*x.
-x*(x + 3)*(8*x + 3)
Factor -5*v**2 + 675*v.
-5*v*(v - 135)
Suppose -2*n**5/3 - 44*n**4/3 + 152*n**3/3 + 44*n**2/3 - 50*n = 0. What is n?
-25, -1, 0, 1, 3
Find y such that -2*y**5/3 + 3016*y**4/3 - 379010*y**3 - 3016*y**2/3 + 1137032*y/3 = 0.
-1, 0, 1, 754
Suppose -n**2/7 + 15*n/7 + 76/7 = 0. What is n?
-4, 19
Factor 2*j**4/11 + 38*j**3/11 - 126*j**2/11 + 130*j/11 - 4.
2*(j - 1)**3*(j + 22)/11
Let 28*x**5/9 + 10*x**4 - 28*x**3/9 - 14*x**2 + 4*x = 0. Calculate x.
-3, -3/2, 0, 2/7, 1
Find o such that -15*o**3 - 175*o**2 - 260*o - 100 = 0.
-10, -1, -2/3
Solve -g**2/2 + 531*g/2 = 0.
0, 531
Determine w so that w**3/9 - 40*w**2/9 + 77*w/9 - 38/9 = 0.
1, 38
Determine d, given that 3*d**3 + 12*d**2 - 33*d + 18 = 0.
-6, 1
Determine b, given that 2*b**4/5 - 54*b**2/5 + 20*b - 48/5 = 0.
-6, 1, 4
Find m, given that 3*m**5 - 81*m**4 + 354*m**3 + 522*m**2 - 357*m - 441 = 0.
-1, 1, 7, 21
Determine w, given that -4*w**4/3 + 4*w**3/3 + 4*w**2 - 4*w/3 - 8/3 = 0.
-1, 1, 2
Solve 3*i**3/2 + 237*i**2 + 4794*i - 397620 = 0 for i.
-94, 30
Let -5*k**2 - 170*k - 465 = 0. Calculate k.
-31, -3
Factor -21*y**3 - 55*y**2 + 28*y + 12.
-(y + 3)*(3*y - 2)*(7*y + 2)
What is t in 3*t**5 - 102*t**4 - 228*t**3 + 426*t**2 + 225*t - 324 = 0?
-3, -1, 1, 36
Solve -7*i**2/4 + 881*i/2 + 126 = 0.
-2/7, 252
Let 2*q**3/15 + 4*q**2/15 - 8*q/15 - 16/15 = 0. Calculate q.
-2, 2
Suppose -8*b**3/9 - 44*b**2/3 - 164*b/3 + 280/9 = 0. What is b?
-10, -7, 1/2
Factor -2*r**4/3 + 76*r**3 - 2574*r**2 + 23256*r - 62424.
-2*(r - 51)**2*(r - 6)**2/3
Find c, given that 2*c**2 + 2*c - 4 = 0.
-2, 1
Factor -q**3/4 - 9*q**2/4 + 11*q/2.
-q*(q - 2)*(q + 11)/4
Suppose 5*l**2 + 1850*l + 171125 = 0. Calculate l.
-185
Factor -2*m**4/9 - 8*m**3/9 - 2*m**2/3.
-2*m**2*(m + 1)*(m + 3)/9
Let z**3/11 - 5*z**2/11 - 24*z/11 = 0. What is z?
-3, 0, 8
Factor 2*n**2/7 - n + 6/7.
(n - 2)*(2*n - 3)/7
Factor 3*z**3 + 351*z**2 + 10089*z - 10443.
3*(z - 1)*(z + 59)**2
Factor f**2/2 + 5*f/2 - 3.
(f - 1)*(f + 6)/2
Determine g so that 10*g**4/3 + 42*g**3 + 298*g**2/3 - 210*g + 196/3 = 0.
-7, 2/5, 1
What is k in 4*k**3/3 + 104*k**2/3 + 92*k/3 - 200/3 = 0?
-25, -2, 1
Solve 3*p**3/4 + 279*p**2/4 + 6345*p/4 - 6627/4 = 0 for p.
-47, 1
Suppose -3*s**2 + 207*s - 1620 = 0. Calculate s.
9, 60
Find k, given that -2*k**2/11 - 6*k/11 + 8/11 = 0.
-4, 1
Determine k, given that -2*k**4/5 - 456*k**3/5 + 474*k**2/5 + 728*k - 5496/5 = 0.
-229, -3, 2
Find n such that -9*n**4 + 66*n**3 + 579*n**2 + 1056*n + 468 = 0.
-3, -2, -2/3, 13
Suppose -i**5 - 7*i**4 - 11*i**3 + 19*i**2 + 60*i + 36 = 0. Calculate i.
-3, -2, -1, 2
Suppose -d**3 + 19*d**2 - 64*d + 60 = 0. What is d?
2, 15
Factor -q**3 - 8*q**2 + 61*q - 52.
-(q - 4)*(q - 1)*(q + 13)
Let -p**2 + 3*p - 2 = 0. What is p?
1, 2
Solve 2*p**5/7 - 10*p**4/7 + 16*p**3/7 - 8*p**2/7 = 0 for p.
0, 1, 2
Determine w so that -4*w**4 + 24*w**3 + 36*w**2 - 56*w = 0.
-2, 0, 1, 7
Suppose -2*x**3/5 + 6*x**2/5 + 2*x/5 - 6/5 = 0. Calculate x.
-1, 1, 3
Factor -5*k**2 + 2*k + 3.
-(k - 1)*(5*k + 3)
Suppose -28*t**4 - 5452*t**3 + 7048*t**2 - 1568*t = 0. Calculate t.
-196, 0, 2/7, 1
Find h such that -140*h**5 - 625*h**4 + 85*h**3 + 1220*h**2 - 620*h + 80 = 0.
-4, -2, 1/4, 2/7, 1
Factor -6400*y**2 + 160*y - 1.
-(80*y - 1)**2
Determine i so that 2*i**5/11 - 96*i**4/11 + 8*i**3 + 284*i**2/11 - 90*i/11 - 188/11 = 0.
-1, 1, 2, 47
Factor -3*l**2/4 + 3.
-3*(l - 2)*(l + 2)/4
Factor -4*p**3 + 7536*p**2 + 15084*p + 7544.
-4*(p - 1886)*(p + 1)**2
Factor 5*y**4 - 55*y**3 - 15*y**2 + 1435*y - 2450.
5*(y - 7)**2*(y - 2)*(y + 5)
Find r such that -5*r**5 + 135*r**4 - 595*r**3 + 1025*r**2 - 780*r + 220 = 0.
1, 2, 22
Suppose -2*h**5/3 + 142*h**4/3 - 2144*h**3/3 - 13232*h**2/3 - 22496*h/3 - 11552/3 = 0. What is h?
-2, -1, 38
Factor -r**2/2 - 46*r - 1058.
-(r + 46)**2/2
Suppose b**2/6 - 9*b/2 - 29/3 = 0. What is b?
-2, 29
Determine f so that -2*f**5/9 + 1588*f**4/9 - 421346*f**3/9 + 4181936*f**2 - 8224128*f + 4088832 = 0.
1, 264
Find i, given that -1700*i**4 - 2480*i**3 - 888*i**2 - 112*i - 4 = 0.
-1, -1/5, -1/17
Factor 4*z**2 - 392*z - 396.
4*(z - 99)*(z + 1)
Determine m so that 5*m**4 + 5*m**3 - 15*m**2 - 25*m - 10 = 0.
-1, 2
Factor 25*s**2 - 2005*s + 1980.
5*(s - 1)*(5*s - 396)
Suppose 2*g**2/7 - 24*g/7 + 10 = 0. Calculate g.
5, 7
Factor j**5 - 50*j**3 + 625*j.
j*(j - 5)**2*(j + 5)**2
Factor -4*t**2 - 184*t + 2508.
-4*(t - 11)*(t + 57)
Let -75*a**4 - 40710*a**3 - 5540607*a**2 - 4412964*a - 881292 = 0. Calculate a.
-271, -2/5
Factor 5*p**3 + 105*p**2 - 845*p - 945.
5*(p - 7)*(p + 1)*(p + 27)
Factor -r**4/6 + 13*r**3 - 423*r**2/2 - 1638*r - 2646.
-(r - 42)**2*(r + 3)**2/6
Factor -2*w**3/5 + 110*w**2 - 37536*w/5 - 38088/5.
-2*(w - 138)**2*(w + 1)/5
Factor q**3/6 + 23*q**2/6 - 35*q.
q*(q - 7)*(q + 30)/6
Factor -g**4/3 + 1028*g**3/3 - 89762*g**2 + 2616260*g/3 - 6477025/3.
-(g - 509)**2*(g - 5)**2/3
Let -2*a**4/3 - 4*a**3/3 + 18*a**2 - 104*a/3 + 56/3 = 0. Calculate a.
-7, 1, 2
What is c in 2*c**4 + 388*c**3 - 1178*c**2 + 788*c = 0?
-197, 0, 1, 2
Determine h so that h**4/5 + h**3 - 28*h**2/5 - 32*h/5 = 0.
-8, -1, 0, 4
Factor 3*l**4/7 + 60*l**3/7 + 267*l**2/7 + 30*l.
3*l*(l + 1)*(l + 5)*(l + 14)/7
Determine w so that -2*w**5 - 18*w**4 + 26*w**3 + 50*w**2 - 96*w + 40 = 0.
-10, -2, 1
Factor -f**2/4 + 18*f - 68.
-(f - 68)*(f - 4)/4
Determine m, given that -6*m**4/13 + 4*m**3/13 + 18*m**2/13 - 8/13 = 0.
-1, 2/3, 2
Find s such that 2*s**5 + 9*s**4 + 8*s**3 - 6*s**2 - 10*s - 3 = 0.
-3, -1, -1/2, 1
Let -2*z**4/21 - 4*z**3/7 + 16*z**2/21 + 4*z/7 - 2/3 = 0. What is z?
-7, -1, 1
Factor -2*n**2/9 - 5150*n/9 + 5152/9.
-2*(n - 1)*(n + 2576)/9
Find t such that t**2/9 - t + 8/9 = 0.
1, 8
Factor 4*g**3 + 484*g**2 - 16*g - 1936.
4*(g - 2)*(g + 2)*(g + 121)
Factor -i**3/7 - 18*i**2/7 - 47*i/7 - 30/7.
-(i + 1)*(i + 2)*(i + 15)/7
What is q in -2*q**4/3 + 76*q**3/9 + 200*q**2/9 + 148*q/9 + 10/3 = 0?
-1, -1/3, 15
Factor 2*l**3/9 + 2*l**2/3 - 338*l/9 - 338/3.
2*(l - 13)*(l + 3)*(l + 13)/9
Determine b so that b**2/3 + 103*b/3 + 510 = 0.
-85, -18
Factor y**3/4 - 3*y**2/4.
y**2*(y - 3)/4
Solve -2*g**5 + 120*g**4 - 2026*g**3 + 6836*g**2 - 8064*g + 3136 = 0.
1, 2, 28
Determine u, given that 55*u**3 - 725*u**2 - 2510*u + 480 = 0.
-3, 2/11, 16
Factor -4*s**3 - 1552*s**2.
-4*s**2*(s + 388)
Factor v**3/2 + 171*v**2/2 - 345*v/2 + 173/2.
(v - 1)**2*(v + 173)/2
Let -3*l**5 + 30*l**4 - 39*l**3 - 312*l**2 + 420*l + 1200 = 0. What is l?
-2, 4, 5
Find r, given that r**5/5 + 637*r**4/5 + 26966*r**3 + 9392022*r**2/5 - 19191087*r/5 + 9663597/5 = 0.
-213, 1
Factor 20*d**2 + 144*d + 144.
4*(d + 6)*(5*d + 6)
Solve j**5/9 - 28*j**4/9 + 24*j**3 - 78*j**2 + 111*j - 54 = 0.
1, 3, 18
Factor -6*k**3/7 + 402*k**2/7 - 948*k + 6240/7.
-6*(k - 40)*(k - 26)*(k - 1)/7
Find a such that 69*a**4 + 834*a**3 + 3384*a**2 + 4704*a + 384 = 0.
-4, -2/23
Factor -3*w**4 - 69*w**3 + 681*w**2 + 1557*w + 810.
-3*(w - 9)*(w + 1)**2*(w + 30)
Determine t, given that -2*t**3/5 - 22*t**2/5 - 68*t/5 - 48/5 = 0.
-6, -4, -1
Factor 2*r**4/5 + 16*r**3/5 - 18*r**2/5.
2*r**2*(r - 1)*(r + 9)/5
Factor -9*m**3 + 1092*m**2 - 1443*m + 360.
-3*(m - 120)*(m - 1)*(3*m - 1)
Let -2*k**2 - 8*k - 8 = 0. Calculate k.
-2
Suppose q**2/8 + 7*q + 55/8 = 0. Calculate q.
-55, -1
Let d**2/7 + 17*d/7 - 60/7 = 