 4)/5
Determine f, given that 2*f**2/7 - 16*f/7 + 32/7 = 0.
4
Factor 4*j**2/7 + 18*j/7 - 10/7.
2*(j + 5)*(2*j - 1)/7
Suppose -18*u**2/13 + 600*u/13 - 5000/13 = 0. What is u?
50/3
Solve -i**3/7 + 43*i**2 - 22499*i/7 - 22801/7 = 0.
-1, 151
Determine u so that -3*u**4/4 - 39*u**3/2 + 66*u**2 + 39*u/2 - 261/4 = 0.
-29, -1, 1, 3
Solve g**2 - 7418*g + 7417 = 0 for g.
1, 7417
Let v**5 + 22*v**4 - 3*v**3 - 68*v**2 - 44*v = 0. What is v?
-22, -1, 0, 2
Factor -4*c**4/3 - 4*c**3/3 + 40*c**2/3 - 32*c/3.
-4*c*(c - 2)*(c - 1)*(c + 4)/3
Find r such that 5*r**3 + 2735*r**2 + 372640*r - 375380 = 0.
-274, 1
Suppose -21*y**2/4 + 3*y/2 + 15/4 = 0. What is y?
-5/7, 1
Factor 3*h**4/8 + 669*h**3/2 + 447561*h**2/4 + 33268701*h/2 + 7418920323/8.
3*(h + 223)**4/8
Solve -12*l**4 + 56*l**3 + 284*l**2 + 280*l + 64 = 0 for l.
-2, -1, -1/3, 8
What is f in -25*f**3 + 240*f**2 - 425*f - 210 = 0?
-2/5, 3, 7
Factor 6*i**3 + 93*i**2/2 + 60*i - 18.
3*(i + 2)*(i + 6)*(4*i - 1)/2
Factor q**5 + 9*q**4 + 10*q**3 - 78*q**2 - 155*q - 75.
(q - 3)*(q + 1)**2*(q + 5)**2
Factor s**2/3 - 5*s + 14/3.
(s - 14)*(s - 1)/3
Determine x, given that 2*x**4/7 - 1724*x**3/7 + 70848*x**2 - 6824860*x + 6754258 = 0.
1, 287
Factor -8*m**2/15 - 152*m/15 - 722/15.
-2*(2*m + 19)**2/15
Determine y so that 18*y**4/7 + 8*y**3/7 - 288*y**2/7 - 128*y/7 = 0.
-4, -4/9, 0, 4
Factor -3*k**4 - 252*k**3 + 3*k**2 + 252*k.
-3*k*(k - 1)*(k + 1)*(k + 84)
Solve 48*k**4 - 50*k**3 + 2*k**2 = 0 for k.
0, 1/24, 1
Factor 2*s**4 + 18*s**3 + 14*s**2 - 18*s - 16.
2*(s - 1)*(s + 1)**2*(s + 8)
Solve -28*g**5 - 67*g**4/2 + g**3/2 + 6*g**2 = 0 for g.
-1, -4/7, 0, 3/8
Factor -u**3/3 - u**2 + 4/3.
-(u - 1)*(u + 2)**2/3
Find h such that -4*h**2 - 80*h + 2100 = 0.
-35, 15
Factor w**2/4 + w + 3/4.
(w + 1)*(w + 3)/4
Solve -48*u**4/11 - 648*u**3/11 - 900*u**2/11 - 438*u/11 - 72/11 = 0.
-12, -1/2
Find z, given that 3*z**5 + 69*z**4 - 3*z**3 - 69*z**2 = 0.
-23, -1, 0, 1
Suppose -3*s**3 + 37*s**2 + 68*s + 28 = 0. Calculate s.
-1, -2/3, 14
Factor -2*r**2/9 + 98/9.
-2*(r - 7)*(r + 7)/9
Factor 3*u**2 + 42*u + 39.
3*(u + 1)*(u + 13)
Factor 2*i**2/21 + 4*i/21 - 16/21.
2*(i - 2)*(i + 4)/21
Let -18*m**5/5 - 15*m**4 + 204*m**3/5 + 36*m**2/5 = 0. What is m?
-6, -1/6, 0, 2
Let -2*k**4/3 + 2*k**3/3 + 9*k**2/2 - 9/2 = 0. What is k?
-3/2, 1, 3
Solve 2*i**4/7 + 6*i**3/7 - 8*i/7 = 0.
-2, 0, 1
Factor -5*a**4/3 - 23*a**3/6 + 5*a**2/6.
-a**2*(2*a + 5)*(5*a - 1)/6
Factor -35*c**5 + 14550*c**4 - 2267200*c**3 + 156832000*c**2 - 4049510400*c - 1169858560.
-5*(c - 104)**4*(7*c + 2)
Let t**2 + 174*t - 1840 = 0. What is t?
-184, 10
Determine d so that -2*d**2/11 + 78*d = 0.
0, 429
Suppose t**3 + 1154*t**2 + 2304*t = 0. Calculate t.
-1152, -2, 0
Suppose -36*d**4/5 - 1797*d**3/5 - 22347*d**2/5 + 405*d + 375 = 0. What is d?
-25, -1/4, 1/3
Factor d**4/5 + 64*d**3 + 33696*d**2/5 + 1119744*d/5 - 5038848/5.
(d - 4)*(d + 108)**3/5
Factor -i**3 - 284*i**2 + 1148*i - 1152.
-(i - 2)**2*(i + 288)
Let 81*s**5/7 + 297*s**4/7 + 170*s**3/7 + 24*s**2/7 = 0. What is s?
-3, -4/9, -2/9, 0
Factor -l**2/9 + 22*l/9 + 25/3.
-(l - 25)*(l + 3)/9
Factor -3*d**4 - 144*d**3 - 135*d**2 + 282*d.
-3*d*(d - 1)*(d + 2)*(d + 47)
Factor -2*w**2/5 + 18*w + 92/5.
-2*(w - 46)*(w + 1)/5
Suppose 3*n**2 + 6*n - 45 = 0. Calculate n.
-5, 3
Suppose 4*t**2/5 - 12288*t/5 + 9437184/5 = 0. Calculate t.
1536
Factor r**2/4 + 65*r/2 + 4225/4.
(r + 65)**2/4
Factor h**3/4 + 61*h**2/4 + 230*h + 1025.
(h + 10)**2*(h + 41)/4
Let 245*i**5 + 700*i**4 - 1285*i**3 - 380*i**2 + 1040*i - 320 = 0. Calculate i.
-4, -1, 4/7, 1
Solve w**3/3 - 2397*w**2 + 5745609*w - 4590741591 = 0.
2397
Determine g so that -g**5 - 27*g**4 - 229*g**3 - 537*g**2 + 770*g + 2904 = 0.
-11, -4, -3, 2
Let f**5/2 + 3*f**4/2 - 13*f**3/2 - 11*f**2/2 + 12*f + 10 = 0. Calculate f.
-5, -1, 2
Determine v, given that -4*v**3 + 12*v**2 + 4*v - 12 = 0.
-1, 1, 3
Factor 4*p**2 + 1156*p.
4*p*(p + 289)
Factor 12*s**3 - 8*s**2 - 28*s - 8.
4*(s - 2)*(s + 1)*(3*s + 1)
Factor f**3/2 - 3*f**2/2 - 49*f/2 + 147/2.
(f - 7)*(f - 3)*(f + 7)/2
Factor -2*t**4 + 96*t**3 - 936*t**2 + 2592*t.
-2*t*(t - 36)*(t - 6)**2
Factor -2*s**2 + 1062*s + 1064.
-2*(s - 532)*(s + 1)
Determine c, given that 24*c**5/7 - 44*c**4/7 - 128*c**3/7 + 124*c**2/7 + 24*c/7 = 0.
-2, -1/6, 0, 1, 3
Find s, given that -3*s**3 - 111*s**2 - 210*s = 0.
-35, -2, 0
Factor 4*h**2 - 16.
4*(h - 2)*(h + 2)
What is p in -6*p**4/13 - 20*p**3/13 + 58*p**2/13 + 32*p/13 - 40/13 = 0?
-5, -1, 2/3, 2
Factor -2*r**3 + 10*r**2 + 12*r.
-2*r*(r - 6)*(r + 1)
Solve -5*r**3/2 + 19*r**2 + 58*r + 20 = 0 for r.
-2, -2/5, 10
Suppose -2*c**4 - 2*c**3 + 8*c**2 + 8*c = 0. Calculate c.
-2, -1, 0, 2
Find v such that 2*v**3/9 - 10*v**2/3 + 124*v/9 - 16 = 0.
2, 4, 9
Factor 5*c**4 + 5*c**3 - 105*c**2 - 225*c.
5*c*(c - 5)*(c + 3)**2
Find n such that 2*n**4 - 24*n**2 - 32*n = 0.
-2, 0, 4
Suppose -2*u**5 + 8*u**4 - 4*u**3 - 8*u**2 + 6*u = 0. Calculate u.
-1, 0, 1, 3
Factor 3*m**4 + 6*m**3 - 24*m**2.
3*m**2*(m - 2)*(m + 4)
Determine b, given that -b**5/2 - 5*b**4/2 + 4*b**3 + 22*b**2 - 16*b - 32 = 0.
-4, -1, 2
Let -p**5/6 + 11*p**3/6 + 3*p**2 + 4*p/3 = 0. Calculate p.
-2, -1, 0, 4
Suppose 5*p**2 + 1210*p - 2440 = 0. What is p?
-244, 2
Factor 2*x**2 - 820*x + 818.
2*(x - 409)*(x - 1)
Let 47961*p**4/5 + 19272*p**3 + 48838*p**2/5 + 88*p + 1/5 = 0. Calculate p.
-1, -1/219
Solve -4*x**2 - 320*x = 0 for x.
-80, 0
Let 2*b**5/3 - 26*b**4/3 + 124*b**3/3 - 256*b**2/3 + 64*b = 0. What is b?
0, 2, 3, 4
What is n in 5*n**2/4 - 2925*n + 1711125 = 0?
1170
Factor -2*o**2 - 164*o - 2562.
-2*(o + 21)*(o + 61)
Let -i**5 - 8*i**4 + 20*i**3 - 2*i**2 - 19*i + 10 = 0. What is i?
-10, -1, 1
Solve -4*v**3 - 76*v**2 - 396*v - 324 = 0.
-9, -1
Let -5*p**4 + 105*p**3 - 420*p**2 + 320*p = 0. Calculate p.
0, 1, 4, 16
Solve -8*i**5 - 140*i**4 - 812*i**3 - 1772*i**2 - 1484*i - 392 = 0 for i.
-7, -2, -1, -1/2
Let -2*l**3/3 - 86*l**2/3 - 168*l = 0. What is l?
-36, -7, 0
Factor 5*q**5 - 45*q**4 + 125*q**3 - 135*q**2 + 50*q.
5*q*(q - 5)*(q - 2)*(q - 1)**2
Let -256*j**4 - 96*j**3 - 9*j**2 = 0. Calculate j.
-3/16, 0
Factor 3*r**5 - 51*r**4 - 114*r**3 - 6*r**2 + 111*r + 57.
3*(r - 19)*(r - 1)*(r + 1)**3
Factor -4*o**3 + 22732*o**2 - 32307852*o + 32285124.
-4*(o - 2841)**2*(o - 1)
Suppose j**4/7 - 118*j**3/7 + 4297*j**2/7 - 48144*j/7 + 166464/7 = 0. Calculate j.
8, 51
Suppose -6*y**5 + 190*y**4 + 82*y**3 - 582*y**2 + 188*y + 128 = 0. Calculate y.
-2, -1/3, 1, 32
Factor -2*c**2/9 - 2*c/9 + 8/3.
-2*(c - 3)*(c + 4)/9
Factor -2*c**2 - 2*c + 420.
-2*(c - 14)*(c + 15)
Factor -v**4/11 - 576*v**3/11 - 110592*v**2/11 - 7077888*v/11.
-v*(v + 192)**3/11
Suppose -r**3/5 - 218*r**2/5 - 2461*r - 45796/5 = 0. Calculate r.
-107, -4
Let 4*x**2/5 - 488*x + 4864/5 = 0. What is x?
2, 608
Factor 2*m**2/3 + 160*m - 486.
2*(m - 3)*(m + 243)/3
Factor 3*r**3 + 450*r**2 + 2571*r - 3024.
3*(r - 1)*(r + 7)*(r + 144)
Factor -2*r**3/9 - 22*r**2 - 576*r - 1536.
-2*(r + 3)*(r + 48)**2/9
Factor -2*o**3 - 62*o**2 - 20*o + 1200.
-2*(o - 4)*(o + 5)*(o + 30)
Determine z, given that 7*z**2 + 254*z/3 + 8 = 0.
-12, -2/21
Let -4*k**2 - 156*k - 152 = 0. Calculate k.
-38, -1
Suppose 3*d**2 - 108*d - 111 = 0. What is d?
-1, 37
Factor -6*q**2/7 + 40676*q/7 + 27120/7.
-2*(q - 6780)*(3*q + 2)/7
Factor -h**3/2 + 7*h**2/2 - 11*h/2 + 5/2.
-(h - 5)*(h - 1)**2/2
Find n, given that -5*n**3 - 5220*n**2 - 1346625*n + 8268750 = 0.
-525, 6
Determine m so that m**2/2 + 60*m + 1800 = 0.
-60
Solve 2*d**5/9 + 20*d**4 - 188*d**3/9 - 544*d**2/9 + 62*d/3 + 364/9 = 0.
-91, -1, 1, 2
Factor -3*s**2/2 - 15*s + 357/2.
-3*(s - 7)*(s + 17)/2
Factor -o**5/2 + 3*o**4 - o**3/2 - 12*o**2 - 8*o.
-o*(o - 4)**2*(o + 1)**2/2
Find d, given that 2*d**4/9 - 28*d**3/9 + 32*d**2/3 = 0.
0, 6, 8
Determine h so that 2*h**5/17 - 16*h**4/17 - 90*h**3/17 - 72*h**2/17 = 0.
-3, -1, 0, 12
Determine f, given that 2*f**2/3 - 272*f/3 + 90 = 0.
1, 135
Let -12*h**5 - 8*h**4 + 52*h**3 + 32*h**2 - 16*h = 0. What is h?
-2, -1, 0, 1/3, 2
Factor -20*w**3 + 405*w**2 + 780*w - 220.
-5*(w - 22)*(w + 2)*(4*w - 1)
Determine w, given that -25*w**5 + 255*w**4 + 666*w**3 - 1396*w**2 - 1368*w - 288 = 0.
-3, -2/5, 2, 12
Determine l, given that 10*l**5 - 5*l**4 - 5*l**3 = 0.
-1/2, 0, 1
Solve -y**2 - 148*y - 5476 = 0 for y.
-74
Determine v so that 2*v**3/13 + 40*v**2/13 + 136*v/13 + 128/13 = 0.
-16, -2