2/4 - 141*d/4 + 15/2 = 0?
1/2, 2, 5
Factor -2*w**4/5 + 2*w**3 - 4*w**2/5 - 16*w/5.
-2*w*(w - 4)*(w - 2)*(w + 1)/5
Let 5*i**2 + 155*i - 330 = 0. Calculate i.
-33, 2
Find r, given that 2*r**4 + 98*r**3 - 306*r**2 + 310*r - 104 = 0.
-52, 1
Determine m, given that -4*m**5 - 504*m**4 - 21164*m**3 - 295848*m**2 + 21168*m + 296352 = 0.
-42, -1, 1
Factor -2*z**5 + 42*z**4 - 96*z**3 - 272*z**2 + 1056*z - 864.
-2*(z - 18)*(z - 2)**3*(z + 3)
Factor -n**4 - 8*n**3 - 21*n**2 - 22*n - 8.
-(n + 1)**2*(n + 2)*(n + 4)
Factor 3*l**3/4 - 273*l**2/4 + 6345*l/4 - 6075/4.
3*(l - 45)**2*(l - 1)/4
Let u**2 - 22*u + 40 = 0. What is u?
2, 20
Let 2*t**4/5 - 136*t**3/5 - 84*t**2 - 424*t/5 - 142/5 = 0. What is t?
-1, 71
Factor m**3/8 - 583*m**2/8 + 10730*m - 63075/2.
(m - 290)**2*(m - 3)/8
Factor -2*n**3/11 - 530*n**2/11 + 2144*n/11 - 2152/11.
-2*(n - 2)**2*(n + 269)/11
Let -3*i**2/2 - 189*i/2 - 183 = 0. Calculate i.
-61, -2
Determine d, given that d**3 - 64*d**2 + 949*d + 1014 = 0.
-1, 26, 39
Factor 3*a**2 - 672*a + 37632.
3*(a - 112)**2
Factor 6*z**2 - 1622*z - 1084.
2*(z - 271)*(3*z + 2)
Suppose g**5/4 + 3*g**4/2 + 5*g**3/4 - 4*g**2 - 3*g + 4 = 0. What is g?
-4, -2, 1
Factor g**3/4 - 3*g**2/4 - g/4 + 3/4.
(g - 3)*(g - 1)*(g + 1)/4
Determine k, given that 4*k**4/5 - 4*k**3/5 - 84*k**2/5 + 4*k/5 + 16 = 0.
-4, -1, 1, 5
Factor -x**3 - 9*x**2 - 15*x + 25.
-(x - 1)*(x + 5)**2
What is d in -d**5/2 + d**4 + 45*d**3/2 - 65*d**2 - 2*d + 84 = 0?
-7, -1, 2, 6
Factor 2*f**4/3 + 16*f**3 + 236*f**2/3 - 208*f + 338/3.
2*(f - 1)**2*(f + 13)**2/3
Factor -2*z**3/21 - 36*z**2/7 - 648*z/7 - 3888/7.
-2*(z + 18)**3/21
Let -196*q**5/3 - 364*q**4/3 - 47*q**3 + 26*q**2/3 - q/3 = 0. What is q?
-1, 0, 1/14
Factor -5*d**2/6 + 40*d/3 - 65/2.
-5*(d - 13)*(d - 3)/6
Factor -3*z**4 - 9*z**3 + 15*z**2 + 9*z - 12.
-3*(z - 1)**2*(z + 1)*(z + 4)
Suppose 4*s**2 + 52*s = 0. What is s?
-13, 0
Factor 9*l**5/2 - 8133*l**4/2 + 920720*l**3 - 916658*l**2.
l**2*(l - 1)*(3*l - 1354)**2/2
Factor -2*u**2/15 + 4*u/3 + 22/15.
-2*(u - 11)*(u + 1)/15
Suppose -3*b**4 + 15*b**3 + 18*b**2 = 0. What is b?
-1, 0, 6
Let 3*i**4 + 69*i**3 + 60*i**2 - 132*i = 0. Calculate i.
-22, -2, 0, 1
Factor -g**4/6 - 1751*g**3/6 - 169647*g**2 - 97009370*g/3 + 704305196/3.
-(g - 7)*(g + 586)**3/6
Factor 3*c**3 - 660*c**2 + 36300*c.
3*c*(c - 110)**2
Factor -5*b**5 - 125*b**4 - 1000*b**3 - 2500*b**2.
-5*b**2*(b + 5)*(b + 10)**2
Find r, given that -2*r**3/5 + 86*r**2/5 - 516*r/5 + 432/5 = 0.
1, 6, 36
Solve 3*l**5/5 - 28*l**4/5 - 69*l**3/5 + 134*l**2/5 + 228*l/5 - 88/5 = 0.
-2, 1/3, 2, 11
Factor -99*i**3 - 276*i**2 - 255*i - 78.
-3*(i + 1)**2*(33*i + 26)
Factor q**5 + 6*q**4 + 4*q**3 - 6*q**2 - 5*q.
q*(q - 1)*(q + 1)**2*(q + 5)
Factor k**3/5 - 15*k**2/2 - 58*k/5 - 39/10.
(k - 39)*(k + 1)*(2*k + 1)/10
Factor -3*q**3 + 12*q**2 + 57*q + 42.
-3*(q - 7)*(q + 1)*(q + 2)
Find l such that -2*l**3/19 + 12*l**2/19 - 10*l/19 - 24/19 = 0.
-1, 3, 4
Suppose z**2 + 7*z + 6 = 0. Calculate z.
-6, -1
Factor -36*d**4 - 100*d**3 - 84*d**2 - 12*d + 8.
-4*(d + 1)**3*(9*d - 2)
Let 2*w**2/3 - 12*w - 80/3 = 0. What is w?
-2, 20
Factor p**2/4 - 495*p/4 - 499.
(p - 499)*(p + 4)/4
Factor 2*t**2 + 48*t + 46.
2*(t + 1)*(t + 23)
Find v, given that -v**2/4 + 11*v - 121 = 0.
22
Let a**5/6 - 85*a**4/6 + 775*a**3/2 - 17255*a**2/6 - 54665*a/3 + 97556 = 0. Calculate a.
-6, 4, 29
Suppose s**2/4 + 45*s/2 + 2025/4 = 0. Calculate s.
-45
Suppose -3*h**3/8 - 102*h**2 - 402*h = 0. Calculate h.
-268, -4, 0
Factor 15*r**3 + 1570*r**2 + 1035*r - 520.
5*(r + 1)*(r + 104)*(3*r - 1)
Factor 2*t**2/5 + 94*t/5.
2*t*(t + 47)/5
Factor -3*v**3/7 + 27*v**2/7 - 72*v/7 + 60/7.
-3*(v - 5)*(v - 2)**2/7
Factor z**2 + 3*z - 154.
(z - 11)*(z + 14)
Suppose -2*b**3/7 - 4264*b**2/7 - 2272712*b/7 = 0. Calculate b.
-1066, 0
Solve -4*m**5/7 + 16*m**4/7 + 108*m**3/7 + 152*m**2/7 + 64*m/7 = 0.
-2, -1, 0, 8
Factor 3*r**5/4 + 27*r**4/4 + 15*r**3 - 12*r**2 - 72*r - 60.
3*(r - 2)*(r + 2)**3*(r + 5)/4
Factor 3*d**4/4 + 3*d**3/2 - 9*d**2/4.
3*d**2*(d - 1)*(d + 3)/4
Factor -5*a**3 + 55*a**2 - 200*a + 240.
-5*(a - 4)**2*(a - 3)
Solve -82*v**4 - 168*v**3 - 90*v**2 - 4*v = 0 for v.
-1, -2/41, 0
Let -3*j**3 + 3*j**2 + 3*j - 3 = 0. What is j?
-1, 1
Solve -f**2/3 - 14*f + 43/3 = 0.
-43, 1
Let -5*g**4 - 5*g**3 + 15*g**2 + 5*g - 10 = 0. Calculate g.
-2, -1, 1
Factor -4*c**2 - 88*c - 228.
-4*(c + 3)*(c + 19)
Factor -m**3/2 + 7*m**2/6 + 14*m/3 - 16/3.
-(m - 4)*(m - 1)*(3*m + 8)/6
Suppose x**2 - 11*x + 18 = 0. What is x?
2, 9
Factor -2*n**2 - 28*n - 26.
-2*(n + 1)*(n + 13)
Find x, given that -2*x**3/5 - 26*x**2/5 - 44*x/5 = 0.
-11, -2, 0
Solve -4*t**3/3 + 12*t = 0.
-3, 0, 3
Let -4*b**2 + 736*b - 33856 = 0. Calculate b.
92
Suppose -4*f**4 + 76*f**3 + 468*f**2 + 324*f - 864 = 0. Calculate f.
-3, 1, 24
Suppose 3*j**3 + 21*j**2 + 21*j - 45 = 0. Calculate j.
-5, -3, 1
Suppose 2*x**3/3 - 14*x/3 - 4 = 0. Calculate x.
-2, -1, 3
Factor 5*z**2 - 80*z - 85.
5*(z - 17)*(z + 1)
Factor -2*x**3 + 166*x**2 + 1058*x + 890.
-2*(x - 89)*(x + 1)*(x + 5)
Let b**4/10 - 14*b**3/5 + 25*b**2 - 306*b/5 - 891/10 = 0. What is b?
-1, 9, 11
Factor 2*l**3/3 - 4*l**2/3 - 24*l + 48.
2*(l - 6)*(l - 2)*(l + 6)/3
Determine m so that m**4/6 + 31*m**3/3 + 299*m**2/2 - 992*m/3 + 512/3 = 0.
-32, 1
Suppose 4*y**4 + 144*y**3 + 1432*y**2 + 2448*y + 1156 = 0. Calculate y.
-17, -1
Suppose 2*m**2/7 + 48*m/7 + 18 = 0. What is m?
-21, -3
Find x, given that -x**4/7 - 60*x**3/7 - 550*x**2/7 + 1500*x - 4375 = 0.
-35, 5
Find o such that -2*o**5/5 + 194*o**4/5 - 6518*o**3/5 + 16678*o**2 - 261392*o/5 + 238328/5 = 0.
2, 31
Factor 3*a**2 - 93*a + 324.
3*(a - 27)*(a - 4)
Determine a so that 2*a**2 - 174*a = 0.
0, 87
Determine d, given that -14*d**4 + 78*d**3 + 36*d**2 - 448*d - 192 = 0.
-2, -3/7, 4
Factor -5*i**2 + 260*i - 3380.
-5*(i - 26)**2
Determine x so that -4*x**4 + 260*x**3 - 4352*x**2 + 4096*x = 0.
0, 1, 32
Solve 2*n**3/13 - 66*n**2/13 + 720*n/13 - 2592/13 = 0.
9, 12
Suppose -c**4/4 - 55*c**3/4 + c**2/4 + 55*c/4 = 0. Calculate c.
-55, -1, 0, 1
Find p, given that 5*p**2/3 + 365*p/3 = 0.
-73, 0
Find l, given that 2*l**2 - 38*l + 176 = 0.
8, 11
Factor -2*s**3/5 + 4*s**2/5 + 2*s - 12/5.
-2*(s - 3)*(s - 1)*(s + 2)/5
Factor -5*t**3 - 50*t**2 - 145*t - 100.
-5*(t + 1)*(t + 4)*(t + 5)
Find j, given that j**2 + 6*j - 216 = 0.
-18, 12
Determine a so that -2*a**3 + 92*a**2 + 190*a + 96 = 0.
-1, 48
Solve y**2/6 + 100*y + 15000 = 0.
-300
Solve 4*w**4/9 + 8*w**3/3 + 4*w**2 - 16*w/9 - 16/3 = 0.
-3, -2, 1
Suppose 30*k**5/7 + 146*k**4/7 + 10*k**3 - 282*k**2/7 + 36*k/7 = 0. Calculate k.
-3, 0, 2/15, 1
Factor m**3/2 + 567*m**2/2 + 107163*m/2 + 6751269/2.
(m + 189)**3/2
Factor -2*m**2/13 - 56*m/13 + 58/13.
-2*(m - 1)*(m + 29)/13
Factor 3*k**2 + 627*k + 4824.
3*(k + 8)*(k + 201)
Factor -5*p**4 - 190*p**3 - 2505*p**2 - 13300*p - 24500.
-5*(p + 5)**2*(p + 14)**2
Solve -5*u**5 - 50*u**4 + 50*u**3 + 800*u**2 - 645*u - 1350 = 0 for u.
-9, -5, -1, 2, 3
Suppose -6*v**2 + 21*v/2 + 54 = 0. Calculate v.
-9/4, 4
Factor -13*h**3/3 - 76*h**2/3 + 103*h/3 - 14/3.
-(h - 1)*(h + 7)*(13*h - 2)/3
Factor 4*q**4 + 640*q**3 + 25600*q**2.
4*q**2*(q + 80)**2
Factor 3*u**2/5 - 63*u/5 + 54.
3*(u - 15)*(u - 6)/5
Find q, given that -2*q**3/11 + 534*q**2/11 = 0.
0, 267
Factor -z**3/2 - 37*z**2/2 - 391*z/2 - 867/2.
-(z + 3)*(z + 17)**2/2
Solve -2*o**3/5 - 122*o**2/5 + 136*o/5 + 744/5 = 0 for o.
-62, -2, 3
Factor 3*x**4/7 + 36*x**3/7 + 96*x**2/7.
3*x**2*(x + 4)*(x + 8)/7
Factor 3*u**4 + 186*u**3.
3*u**3*(u + 62)
Determine h, given that 2*h**5 - 12*h**4 - 214*h**3 - 768*h**2 - 1048*h - 480 = 0.
-4, -2, -1, 15
What is a in 3*a**5/4 + 111*a**4/4 + 210*a**3 - 900*a**2 = 0?
-20, 0, 3
Factor -o**2/2 + 4195*o - 17598025/2.
-(o - 4195)**2/2
What is s in s**2/4 + 45*s/2 = 0?
-90, 0
Factor -2*c**2/5 - 166*c/5 - 164/5.
-2*(c + 1)*(c + 82)/5
Factor 3*n**2 - 54*n + 51.
3*(n - 17)*(n - 1)
Factor 3*m**4 - 24*m**2 + 48.
3*(m - 2)**2*(m + 2)**2
Determine x so that x**4/4 + 142*x**3 + 53289*x**2/2 + 1605164*x - 34839355/4 = 0.
-191, 5
Solve -4*n**4 + 1992*n**3 - 249988*n**2 + 494016*n - 246016 = 0.
1, 248
Factor -2*c**5 - 234*c**4 - 6486*c**3 + 20882*c**2 - 21360*c + 7200.
-2*(c - 1)**3*(c + 60)**2
Find w, given that w**5 + 4*w**4 - 11*w**3 - 26*w**2 + 28*w + 40 = 0.
-5, -2, -1, 2
Factor b**3/5 - 51*b**2/5 - 45*b + 55.
(b - 55)*(b - 1)*(b + 5)/5
