 2)*(9*x - 2)/11
Determine i so that 4*i**2 - 2696*i + 454276 = 0.
337
Find r, given that -3*r**2/2 - 39*r/2 = 0.
-13, 0
Factor 2116*l**3 + 13708*l**2 - 7584*l + 1008.
4*(l + 7)*(23*l - 6)**2
Factor t**2/2 + 75*t/2.
t*(t + 75)/2
Factor -3*g**5 + 117*g**4 - 1197*g**3 + 1083*g**2.
-3*g**2*(g - 19)**2*(g - 1)
Solve 4*w**2 - 304*w - 308 = 0 for w.
-1, 77
Suppose -6*s**3 + 124*s**2 - 680*s + 400 = 0. Calculate s.
2/3, 10
Let -4*s**4 - 40*s**3 - 100*s**2 = 0. Calculate s.
-5, 0
Determine c so that -4*c**4 + 192*c**3 + 396*c**2 + 200*c = 0.
-1, 0, 50
Determine x so that -x**3 - 413*x**2/5 - 244*x/5 + 164/5 = 0.
-82, -1, 2/5
Factor -j**5/10 + 9*j**4/10 - 9*j**3/5.
-j**3*(j - 6)*(j - 3)/10
Suppose 6*p**3 - 4*p**2 - 6*p + 4 = 0. What is p?
-1, 2/3, 1
Factor 4*m**4/5 - 16*m**2/5.
4*m**2*(m - 2)*(m + 2)/5
Factor 2*w**3/3 - 68*w**2/3 - 8*w/3 + 272/3.
2*(w - 34)*(w - 2)*(w + 2)/3
What is p in -117*p**2/7 + 6*p/7 = 0?
0, 2/39
Suppose -25*g**4 - 40*g**3 - 5*g**2 + 10*g = 0. What is g?
-1, 0, 2/5
Find o, given that -3*o**3/2 + 135*o**2/2 - 1449*o/2 - 1587/2 = 0.
-1, 23
Let 35*f**4/2 - 15*f**3 - 20*f**2 + 15*f + 5/2 = 0. What is f?
-1, -1/7, 1
Factor -2*l**4/3 - 18*l**3 - 64*l**2 - 184*l/3.
-2*l*(l + 2)**2*(l + 23)/3
Factor -i**2 - 1626*i + 1627.
-(i - 1)*(i + 1627)
Find b such that 1372*b**5 - 980*b**4 - 504*b**3 + 80*b**2 + 32*b = 0.
-2/7, 0, 2/7, 1
Solve -a**5/9 - 398*a**4/3 - 475211*a**3/9 - 63043598*a**2/9 + 158404*a/3 + 63044792/9 = 0 for a.
-398, -1, 1
Let m**5 + 15*m**4/4 + 4*m**3 + 3*m**2/4 - m/2 = 0. Calculate m.
-2, -1, 0, 1/4
Factor m**2 + 11*m/5 + 2/5.
(m + 2)*(5*m + 1)/5
Let -12*a**4 + 116*a**3 + 40*a**2 = 0. Calculate a.
-1/3, 0, 10
Determine m, given that 2*m**3 - 818*m**2 + 83230*m + 84050 = 0.
-1, 205
Solve 4*t**3/3 - 65*t**2/3 - 884*t/3 + 75 = 0.
-9, 1/4, 25
Suppose -4*j**2/7 + 360*j/7 - 356/7 = 0. What is j?
1, 89
Factor 3*u**4 - 33*u**3 + 30*u**2.
3*u**2*(u - 10)*(u - 1)
Determine k so that 2*k**2/5 + 12*k - 62/5 = 0.
-31, 1
Let 2*c**2/13 - 1788*c/13 + 399618/13 = 0. Calculate c.
447
Factor -2*o**3/3 - 70*o**2/3.
-2*o**2*(o + 35)/3
Factor -3*g**2 - 2238*g - 417387.
-3*(g + 373)**2
Factor a**2/6 - 19*a/3 - 13/2.
(a - 39)*(a + 1)/6
Let 2*u**4/7 - 30*u**3/7 - 144*u**2/7 - 152*u/7 = 0. Calculate u.
-2, 0, 19
Factor x**3/3 + 13*x**2/3 + 32*x/3 + 20/3.
(x + 1)*(x + 2)*(x + 10)/3
Find l such that 21*l**3 - 129*l**2 + 207*l - 27 = 0.
1/7, 3
Find q such that -3*q**3 + 33*q**2 + 120*q + 84 = 0.
-2, -1, 14
Find h such that h**5 - 13*h**4 - h**3 + 13*h**2 = 0.
-1, 0, 1, 13
Find o, given that -2*o**5 - 42*o**4 - 306*o**3 - 998*o**2 - 1452*o - 720 = 0.
-10, -4, -3, -1
Factor -4*o**5 + 12*o**4 - 8*o**3 - 8*o**2 + 12*o - 4.
-4*(o - 1)**4*(o + 1)
Factor 4*a**3 + 240*a**2 - 492*a + 248.
4*(a - 1)**2*(a + 62)
Factor -t**3/3 + 12*t**2 + 67*t + 164/3.
-(t - 41)*(t + 1)*(t + 4)/3
Factor 63*s**3/4 + 26337*s**2/2 + 2753157*s + 262086.
3*(s + 418)**2*(21*s + 2)/4
Find z such that 4*z**5/5 + 4*z**4 + 36*z**3/5 + 28*z**2/5 + 8*z/5 = 0.
-2, -1, 0
Solve r**4/2 + 16*r**3 + 87*r**2/2 - 2*r - 58 = 0.
-29, -2, 1
Find k, given that 5*k**4 + 675*k**3 + 22440*k**2 - 23120*k = 0.
-68, 0, 1
Factor i**5/3 - 61*i**4/3 - 254*i**3/3 - 386*i**2/3 - 259*i/3 - 65/3.
(i - 65)*(i + 1)**4/3
Factor 2*q**4/5 + 52*q**3/5.
2*q**3*(q + 26)/5
What is o in -4*o**5 - 732*o**4 - 1452*o**3 - 724*o**2 = 0?
-181, -1, 0
Factor 4*o**5/3 - 16*o**4 + 44*o**3/3.
4*o**3*(o - 11)*(o - 1)/3
What is z in 3*z**3 - 21*z**2 + 42*z - 24 = 0?
1, 2, 4
Factor -v**3/10 + 3*v**2/10 + 3*v/5 - 4/5.
-(v - 4)*(v - 1)*(v + 2)/10
What is q in -45*q**5 - 640*q**4 + 1300*q**3 + 320*q**2 = 0?
-16, -2/9, 0, 2
Determine n so that n**3 - 13*n**2 + 12*n = 0.
0, 1, 12
Find x, given that -2*x**5/13 - 10*x**4/13 - 16*x**3/13 - 8*x**2/13 = 0.
-2, -1, 0
Solve 2*f**2/9 - 21460*f/9 + 57566450/9 = 0.
5365
Suppose o**5/4 + 5*o**4/2 + 39*o**3/4 + 37*o**2/2 + 17*o + 6 = 0. What is o?
-3, -2, -1
Factor g**5/5 - 6*g**4/5 + 13*g**3/5 - 12*g**2/5 + 4*g/5.
g*(g - 2)**2*(g - 1)**2/5
Factor 12*b**3 + 261*b**2 + 1014*b + 765.
3*(b + 1)*(b + 17)*(4*b + 15)
What is r in -2*r**5/17 - 20*r**4/17 - 72*r**3/17 - 112*r**2/17 - 64*r/17 = 0?
-4, -2, 0
Let -20*v**4 - 1375*v**3 - 1015*v**2 + 340*v = 0. Calculate v.
-68, -1, 0, 1/4
Let 2*o**4/9 - 12*o**3 + 550*o**2/3 - 5000*o/9 = 0. Calculate o.
0, 4, 25
Solve -3*x**2 - 261*x + 264 = 0 for x.
-88, 1
Find x, given that 5*x**2 + 5*x - 30 = 0.
-3, 2
Determine f so that -4*f**3 + 84*f**2 + 612*f + 972 = 0.
-3, 27
Find g such that g**5 + 907*g**4/2 + 103505*g**3/2 + 75935*g**2 - 77066*g - 51076 = 0.
-226, -2, -1/2, 1
Determine g so that -5*g**3 - 220*g**2 - 995*g - 780 = 0.
-39, -4, -1
Determine f so that -75*f**5 + 85*f**4 + 1195*f**3 + 1335*f**2 - 280*f - 100 = 0.
-2, -1/5, 1/3, 5
Suppose -z**4/6 + 2*z**3/3 + 8*z**2/3 - 8*z/3 - 8 = 0. What is z?
-2, 2, 6
What is t in 15*t**3/2 - 25*t**2 + 10*t + 20 = 0?
-2/3, 2
Factor d**2/4 + d.
d*(d + 4)/4
Factor 5*w**2 + 390*w + 7605.
5*(w + 39)**2
Find j, given that 3*j**4 + 84*j**3 + 585*j**2 - 84*j - 588 = 0.
-14, -1, 1
Factor s**2 + 48*s/5 - 4.
(s + 10)*(5*s - 2)/5
Find w such that -5*w**2 - 875*w - 870 = 0.
-174, -1
Find j such that 5*j**4 + 30*j**3 + 40*j**2 = 0.
-4, -2, 0
Factor -2*b**4 - 596*b**3 - 43802*b**2 + 89400*b - 45000.
-2*(b - 1)**2*(b + 150)**2
Factor 5*c**4/7 + 38*c**3/7 + 19*c**2/7 - 2*c.
c*(c + 1)*(c + 7)*(5*c - 2)/7
Solve j**5/5 + 3*j**4/5 - 5*j**3 + 21*j**2/5 = 0.
-7, 0, 1, 3
Factor m**2/9 - 383*m/9.
m*(m - 383)/9
Let -5*x**4 - 170*x**3 - 160*x**2 + 170*x + 165 = 0. What is x?
-33, -1, 1
Suppose -h**5/4 - h**4/4 + 3*h**3/2 + 7*h**2/2 + 11*h/4 + 3/4 = 0. Calculate h.
-1, 3
Solve 4*s**3 + 808*s**2 - 3284*s + 2472 = 0.
-206, 1, 3
Factor -2*q**3 - 218*q**2 - 848*q - 840.
-2*(q + 2)**2*(q + 105)
Factor -m**4/5 - 3*m**3 + 20*m**2.
-m**2*(m - 5)*(m + 20)/5
Determine r so that r**2/2 - 582*r + 169362 = 0.
582
Find n such that 2*n**2/13 + 48*n/13 + 88/13 = 0.
-22, -2
What is c in 2*c**4/13 - 1460*c**3/13 - 2926*c**2/13 - 1464*c/13 = 0?
-1, 0, 732
What is h in -260*h**4 + 744*h**3 - 356*h**2 - 240*h + 112 = 0?
-7/13, 2/5, 1, 2
Factor -3*t**2/7 + 51*t/7 - 216/7.
-3*(t - 9)*(t - 8)/7
Suppose x**2/10 - 4973*x/10 - 2487/5 = 0. What is x?
-1, 4974
Factor g**2 + 126*g + 3969.
(g + 63)**2
Let -2*u**3/13 - 1782*u**2/13 - 529254*u/13 - 52396146/13 = 0. What is u?
-297
Let 2*g**2/5 - 10*g = 0. Calculate g.
0, 25
Let v**5/2 + 6*v**4 + 25*v**3/2 - 15*v**2 - 58*v - 36 = 0. Calculate v.
-9, -2, -1, 2
Solve f**3 - 16*f**2 + 41*f - 26 = 0 for f.
1, 2, 13
Factor -u**2/3 - 830*u/3 - 172225/3.
-(u + 415)**2/3
Factor 6*v**2/5 + 924*v/5 + 35574/5.
6*(v + 77)**2/5
Factor 3*q**5 - 27*q**4 - 15*q**3 + 675*q**2 - 1500*q.
3*q*(q - 5)**2*(q - 4)*(q + 5)
Solve 4*g**5/3 - 196*g**4/3 - 137*g**3 + 148*g**2/3 + 257*g/3 - 34 = 0 for g.
-2, -1, 1/2, 51
What is i in -i**5/3 - 81*i**4 + 2008*i**3/3 = 0?
-251, 0, 8
Factor x**4/2 - 43*x**3 - 365*x**2/2 + 225*x.
x*(x - 90)*(x - 1)*(x + 5)/2
Factor 2*n**3/5 - 4996*n**2/5 - 9998*n/5 - 1000.
2*(n - 2500)*(n + 1)**2/5
Determine l so that 2*l**3/3 - 12*l**2 + 22*l - 32/3 = 0.
1, 16
Suppose 28*f**4 - 3060*f**3 + 85544*f**2 - 105840*f + 23328 = 0. What is f?
2/7, 1, 54
Factor -3*l**2/7 - 639*l/7 + 1944/7.
-3*(l - 3)*(l + 216)/7
Factor 2*o**2 + 748*o + 2226.
2*(o + 3)*(o + 371)
Solve 4*r**5/7 - 31*r**4/7 + 80*r**3/7 - 74*r**2/7 + 12*r/7 + 9/7 = 0 for r.
-1/4, 1, 3
Find n, given that 2*n**4/11 - 10*n**3/11 - 28*n**2/11 = 0.
-2, 0, 7
Let 5*j**4/2 + 45*j**3/2 - 30*j**2 - 310*j - 360 = 0. Calculate j.
-9, -2, 4
Suppose -245*o**3 - 595*o**2 + 400*o - 60 = 0. What is o?
-3, 2/7
Determine w, given that -w**4 + w**3 + 3*w**2 - w - 2 = 0.
-1, 1, 2
Determine h so that -h**4/5 + 101*h**3/5 - 2788*h**2/5 + 11904*h/5 - 9216/5 = 0.
1, 4, 48
Factor 3*z**2 - 2796*z + 651468.
3*(z - 466)**2
Factor -3*q**2/5 + 18*q/5 + 48/5.
-3*(q - 8)*(q + 2)/5
Determine a, given that -2*a**4 + 3*a**3/7 + 6*a**2 + 19*a/7 - 6/7 = 0.
-1, 3/14, 2
Determine z so that -z**3 - 458*z**2 + 465*z + 2754 = 0.
-459, -2, 3
Suppose -4*o**4 + 12*o**3 + 152*o**2 + 96*o - 256 = 0. What is o?
-4, -2, 1, 8
Let -3*b**3 + 249*b**2 - 720*b = 0. Calculate b.
0, 3, 80
Factor 98*g**5 - 616*g**4 + 1346*g**3 - 1132*g**2 + 248*g - 16.
2*(g - 2)**3*(7*g - 1)**2
Find f, given that -f**2/5 + 79*f/5 + 16 = 0.
-1, 80
De