ate q.
-5, -2, -1
Factor -h**3/7 + 23*h**2/7 - 160*h/7 + 300/7.
-(h - 10)**2*(h - 3)/7
Suppose -4*s**2 + 80*s + 176 = 0. Calculate s.
-2, 22
Factor -2*y**3/5 - 4*y**2/5 - 2*y/5.
-2*y*(y + 1)**2/5
Let o**3 + 600*o**2 + 88173*o - 550854 = 0. What is o?
-303, 6
Suppose -13*r**2/4 + 483*r/4 - 37/2 = 0. Calculate r.
2/13, 37
Let -m**2/7 + 5*m/7 + 50/7 = 0. Calculate m.
-5, 10
What is s in -s**3/10 - 23*s**2/10 + 12*s/5 = 0?
-24, 0, 1
Determine j, given that 2*j**3/5 + 22*j**2 - 234*j/5 - 342/5 = 0.
-57, -1, 3
Determine g, given that 5*g**4/6 + 100*g**3/3 + 865*g**2/2 + 4970*g/3 - 6370/3 = 0.
-14, -13, 1
Suppose 33*j**4/5 + 9*j**3/5 = 0. What is j?
-3/11, 0
Suppose 20*y**4/3 + 108*y**3 - 1456*y**2/3 + 432*y + 320/3 = 0. What is y?
-20, -1/5, 2
Factor i**2/8 - 27*i/8 - 7/2.
(i - 28)*(i + 1)/8
Solve -2*i**3 - 262*i**2 - 8448*i + 8712 = 0 for i.
-66, 1
Find h, given that -4*h**2 + 1024 = 0.
-16, 16
Suppose 12*g**5 - 676*g**4/3 - 188*g**3/3 + 676*g**2/3 + 152*g/3 = 0. What is g?
-1, -2/9, 0, 1, 19
Let -2*i**3 + 184*i**2/9 - 490*i/9 + 100/9 = 0. What is i?
2/9, 5
Find y such that -y**2/2 + 139*y + 564 = 0.
-4, 282
Find v such that 4*v**2 - 432*v + 11664 = 0.
54
Factor -5*p**2 - 510*p.
-5*p*(p + 102)
What is y in 6*y**2/5 + 18*y/5 = 0?
-3, 0
Factor -450*t**3 - 5*t**2 + 450*t + 5.
-5*(t - 1)*(t + 1)*(90*t + 1)
Factor m**2/3 - 29*m/3 + 40.
(m - 24)*(m - 5)/3
Factor -4*l**2 + 228*l - 440.
-4*(l - 55)*(l - 2)
Factor -3*k**3 + 60*k**2 + 132*k.
-3*k*(k - 22)*(k + 2)
Suppose -4*n**4 + 15*n**3 + 8*n**2 - 15*n - 4 = 0. What is n?
-1, -1/4, 1, 4
Suppose -2*p**3 + 164*p**2 + 166*p = 0. What is p?
-1, 0, 83
Suppose -2*k**4 + 4*k**2 - 2 = 0. What is k?
-1, 1
Factor -4*k**4 + 32*k**3 + 36*k**2.
-4*k**2*(k - 9)*(k + 1)
Factor 2*k**2/3 + 36*k - 110/3.
2*(k - 1)*(k + 55)/3
Find k, given that -5*k**3/4 + 20*k**2 - 315*k/4 = 0.
0, 7, 9
Factor -4*n**3 + 168*n**2.
-4*n**2*(n - 42)
What is f in 2*f**3/9 - 2*f**2/3 - 56*f/9 + 40/3 = 0?
-5, 2, 6
Solve 3*w**4/7 - 9*w**2/7 + 6*w/7 = 0 for w.
-2, 0, 1
Factor -2*d**3/21 - 14*d**2/3 - 572*d/21 + 32.
-2*(d - 1)*(d + 8)*(d + 42)/21
Factor -2*q**3/7 - 18*q**2/7 + 6*q - 22/7.
-2*(q - 1)**2*(q + 11)/7
Solve -p**3/2 + 23*p**2/2 + 49*p/2 + 25/2 = 0.
-1, 25
Factor -5*t**3 - 28385*t**2 - 40271215*t + 40299605.
-5*(t - 1)*(t + 2839)**2
Determine z so that 284*z**3 - 8*z**2 = 0.
0, 2/71
Find s, given that 2*s**5/3 + 38*s**4/9 - 142*s**3/3 - 182*s**2/9 + 140*s/3 + 16 = 0.
-12, -1, -1/3, 1, 6
What is o in o**3/2 + 83*o**2/2 + 311*o/2 - 395/2 = 0?
-79, -5, 1
Determine p, given that -4*p**4/7 + 44*p**3/7 - 40*p**2/7 = 0.
0, 1, 10
Factor -s**2 + 136*s - 4624.
-(s - 68)**2
Factor 9*o**3/2 - 201*o**2/2 - 141*o/2 + 69/2.
3*(o - 23)*(o + 1)*(3*o - 1)/2
Factor -85*d**3 - 20*d**2.
-5*d**2*(17*d + 4)
Let 3*j**3/7 - 102*j**2/7 - 456*j/7 = 0. What is j?
-4, 0, 38
What is t in t**2/2 + 11*t/2 - 6 = 0?
-12, 1
What is m in m**2/6 + 25*m/6 - 221 = 0?
-51, 26
Find g, given that -4*g**2 + 1172*g - 3480 = 0.
3, 290
Determine m so that -24*m**2 - 172*m + 440 = 0.
-55/6, 2
Factor -68*f**3/5 + 12*f**2/5 + 39*f/5 - 14/5.
-(2*f - 1)**2*(17*f + 14)/5
Determine t, given that -t**4/3 + 258*t**3 - 150541*t**2/3 + 99588*t - 148996/3 = 0.
1, 386
Factor -5*b**4 - 185*b**3 + 1265*b**2 - 1075*b.
-5*b*(b - 5)*(b - 1)*(b + 43)
Factor 3*o**2/2 - 334*o - 223/2.
(o - 223)*(3*o + 1)/2
Find p, given that 4*p**3 - 16*p**2 - 60*p + 72 = 0.
-3, 1, 6
Solve 5*o**5 - 390*o**4 + 7980*o**3 - 14440*o**2 = 0 for o.
0, 2, 38
Let 54*n**5 - 1728*n**4 + 18378*n**3 - 63808*n**2 - 18432*n + 65536 = 0. What is n?
-1, 1, 32/3
Factor -n**4 - 3*n**3 + 4*n.
-n*(n - 1)*(n + 2)**2
Factor 2*x**3 - 146*x**2 + 2992*x - 11560.
2*(x - 34)**2*(x - 5)
Factor 2*j**2/3 - 4*j/3.
2*j*(j - 2)/3
Factor 2*n**3 + 238*n**2 + 7424*n + 20184.
2*(n + 3)*(n + 58)**2
Factor 3*y**3 + 237*y**2 - 984*y + 996.
3*(y - 2)**2*(y + 83)
Let -6*g**3 + 14*g**2 + 6*g - 14 = 0. Calculate g.
-1, 1, 7/3
Solve -65*q**3 + 330*q**2 - 540*q + 280 = 0 for q.
14/13, 2
Let 784*y**3/3 - 616*y**2/9 - 20*y/3 + 2 = 0. What is y?
-1/6, 3/14
Factor 5*o**3/6 - 7*o**2/6 - 4*o/3 + 2/3.
(o - 2)*(o + 1)*(5*o - 2)/6
Factor 4*c**4 - 148*c**3 + 1872*c**2 - 8640*c + 6912.
4*(c - 12)**3*(c - 1)
Factor 4*x**3/5 - 4*x**2 - 296*x/5 - 96.
4*(x - 12)*(x + 2)*(x + 5)/5
Factor -15*n**4/2 + 29*n**3 + 4*n**2.
-n**2*(n - 4)*(15*n + 2)/2
Factor -9*p**3 - 1965*p**2 - 107583*p - 35643.
-3*(p + 109)**2*(3*p + 1)
Find u, given that 2*u**2/11 + 1728*u/11 + 3448/11 = 0.
-862, -2
What is f in -2*f**4/3 - 4*f**3/3 + 2*f**2 + 16*f/3 + 8/3 = 0?
-2, -1, 2
Factor 5*g**3 - 115*g**2 + 660*g - 900.
5*(g - 15)*(g - 6)*(g - 2)
Factor 5*a**3/2 - 510*a**2 + 23850*a + 224720.
5*(a - 106)**2*(a + 8)/2
Factor 2*v**3/13 - 730*v**2/13.
2*v**2*(v - 365)/13
Find l such that -3*l**4 - 10*l**3 + 113*l**2 + 380*l - 300 = 0.
-5, 2/3, 6
Determine s, given that 2*s**3/5 - 14*s**2/5 + 8*s/5 + 24/5 = 0.
-1, 2, 6
Factor -5*n**2/2 + 125*n + 260.
-5*(n - 52)*(n + 2)/2
Factor -2*x**2/5 - 776*x/5 - 75272/5.
-2*(x + 194)**2/5
Suppose -2*r**4/5 + 432*r**3/5 - 31524*r**2/5 + 161312*r - 2147466/5 = 0. What is r?
3, 71
Factor 2*k**2/7 + 60*k/7 - 62/7.
2*(k - 1)*(k + 31)/7
Factor -i**2 - 46*i + 767.
-(i - 13)*(i + 59)
Suppose 10*w**5 - 45*w**4 + 130*w**2 + 30*w - 45 = 0. What is w?
-1, 1/2, 3
Factor 6*f**3/5 + 28*f**2/5 + 8*f + 16/5.
2*(f + 2)**2*(3*f + 2)/5
Factor 2*l**2/3 - 80*l + 4750/3.
2*(l - 95)*(l - 25)/3
Factor -q**2/2 - q + 3/2.
-(q - 1)*(q + 3)/2
Suppose 2*m**5/7 - 2*m**4/7 - 2*m**3/7 + 2*m**2/7 = 0. What is m?
-1, 0, 1
Find y, given that -62*y**3/5 + 322*y**2/5 - 458*y/5 + 198/5 = 0.
1, 99/31
Let 4*z**5 - 12*z**4 - 4*z**3 + 44*z**2 - 48*z + 16 = 0. Calculate z.
-2, 1, 2
Find y, given that -y**2 + 277*y = 0.
0, 277
Solve 20*n**2 + 252*n + 648 = 0.
-9, -18/5
Factor -b**2 + 6*b + 16.
-(b - 8)*(b + 2)
What is q in -3*q**3 - 123*q**2 - 114*q + 240 = 0?
-40, -2, 1
Solve 2*n**4/11 + 24*n**3/11 + 52*n**2/11 - 24*n/11 - 54/11 = 0 for n.
-9, -3, -1, 1
Factor -338*t**3 - 546*t**2 - 240*t - 32.
-2*(t + 1)*(13*t + 4)**2
Find s such that 5488*s**5 - 7448*s**4 - 6300*s**3 - 1458*s**2 - 108*s = 0.
-3/14, 0, 2
Suppose -2*g**2/3 - 164*g + 494/3 = 0. Calculate g.
-247, 1
Suppose 5*q**2 + 50*q + 120 = 0. What is q?
-6, -4
What is d in 3*d**3/7 - 6*d**2 + 171*d/7 - 216/7 = 0?
3, 8
Factor 3*k**2 - 384*k - 4140.
3*(k - 138)*(k + 10)
Determine a so that 5*a**3 - 595*a**2 - 1820*a - 1220 = 0.
-2, -1, 122
Factor h**3/2 - 13*h**2/2 - h/2 + 13/2.
(h - 13)*(h - 1)*(h + 1)/2
Find o, given that o**4/10 + 7*o**3/10 - 3*o**2/10 - 19*o/10 + 7/5 = 0.
-7, -2, 1
Factor -3*g**5 - 60*g**4 - 108*g**3 + 6*g**2 + 111*g + 54.
-3*(g - 1)*(g + 1)**3*(g + 18)
Suppose -33*m**4 - 237*m**3 - 405*m**2 - 231*m - 30 = 0. Calculate m.
-5, -1, -2/11
Find s such that s**3 + 209*s**2 + 824*s + 820 = 0.
-205, -2
Solve 594*l**5/7 + 1944*l**4/7 + 2322*l**3/7 + 1172*l**2/7 + 184*l/7 - 16/7 = 0 for l.
-1, -2/3, 2/33
Factor -2*o**3/15 + 34*o**2/15 + 12*o/5.
-2*o*(o - 18)*(o + 1)/15
Solve -f**5 + 4*f**4 + 9*f**3 - 32*f**2 - 28*f + 48 = 0 for f.
-2, 1, 3, 4
Suppose 5*c**4 - 5*c**3 - 30*c**2 = 0. What is c?
-2, 0, 3
Factor -v**3 + 124*v**2 + 251*v + 126.
-(v - 126)*(v + 1)**2
Suppose -3*p**4/5 - 96*p**3/5 - 36*p**2 = 0. Calculate p.
-30, -2, 0
Find v such that -1666*v**5 - 2716*v**4 - 1144*v**3 - 144*v**2 = 0.
-18/17, -2/7, 0
Let 20*u**5 + 76*u**4 + 44*u**3 - 12*u**2 = 0. Calculate u.
-3, -1, 0, 1/5
Let -5*b**5 - 5*b**4 + 70*b**3 - 130*b**2 + 95*b - 25 = 0. What is b?
-5, 1
Factor -361*f**5/2 + 114*f**4 - 18*f**3.
-f**3*(19*f - 6)**2/2
What is s in s**4/4 - 7*s**3/2 + 33*s**2/4 = 0?
0, 3, 11
Solve 5*o**4 + 10*o**3 - 75*o**2 + 20*o + 100 = 0.
-5, -1, 2
Factor 3*a**4/2 - 78*a**3 + 1158*a**2 - 3744*a + 3456.
3*(a - 24)**2*(a - 2)**2/2
Factor -4*q**5/3 + 8*q**4/3 + 284*q**3/3 + 80*q**2/3 - 5824*q/3 - 12544/3.
-4*(q - 7)**2*(q + 4)**3/3
Determine d so that 15*d**3 + 380*d**2 + 1625*d + 500 = 0.
-20, -5, -1/3
Factor -4*j**2/11 - 2532*j/11 - 400689/11.
-(2*j + 633)**2/11
Factor 4*r**3/7 - 138*r**2/7 + 324*r/7 - 128/7.
2*(r - 32)*(r - 2)*(2*r - 1)/7
Suppose -6*f**5 - 9*f**4 + 6*f**3 + 12*f**2 - 3 = 0. What is f?
-1, 1/2, 1
Suppose 12*k**5/5 - 117*k**4/5 + 381*k**3/5 - 504*k**2/5 + 228*k/5 = 0. Calculate k.
0, 1, 2, 19/4
Factor a**3/4 - 25*a**2/4 + 25*a.
a*(a - 20)*(a - 5)/4
Wh