-2, 15
Solve -3*f**5 + 42*f**4 - 162*f**3 + 84*f**2 + 165*f - 126 = 0 for f.
-1, 1, 6, 7
Factor 2*f**2/9 - 88*f - 1592/9.
2*(f - 398)*(f + 2)/9
Suppose -m**4 + 11*m**3 - 18*m**2 - 56*m + 64 = 0. What is m?
-2, 1, 4, 8
Determine g, given that -2*g**5/11 + 2*g**4/11 + 30*g**3/11 + 46*g**2/11 + 20*g/11 = 0.
-2, -1, 0, 5
Factor -2*p**3 - 74*p**2 - 204*p.
-2*p*(p + 3)*(p + 34)
Factor 3*a**2/4 + 75*a - 1197.
3*(a - 14)*(a + 114)/4
Factor -5*h**3 - 290*h**2 - 1560*h.
-5*h*(h + 6)*(h + 52)
Let 15*q**2 - 276*q + 492 = 0. What is q?
2, 82/5
Factor -5*w**4 + 105*w**3 + 225*w**2 + 115*w.
-5*w*(w - 23)*(w + 1)**2
Determine b, given that b**2/3 - 274*b/3 + 544/3 = 0.
2, 272
Factor -5*w**2 + 10780*w - 5810420.
-5*(w - 1078)**2
Solve w**2/8 + w/8 = 0 for w.
-1, 0
Factor -7*c**5/3 - 13*c**4/3 - 5*c**3/3 + c**2/3.
-c**2*(c + 1)**2*(7*c - 1)/3
Factor -3*v**3/5 + 21*v**2/5 + 51*v/5 + 27/5.
-3*(v - 9)*(v + 1)**2/5
Factor -2*y**3 + 58*y**2 + 1268*y - 2752.
-2*(y - 43)*(y - 2)*(y + 16)
Let 4*n**4 - 4*n**3 - 108*n**2 + 324*n - 216 = 0. Calculate n.
-6, 1, 3
Determine l so that l**4/5 - 11*l**3/5 + 38*l**2/5 - 52*l/5 + 24/5 = 0.
1, 2, 6
What is h in -3*h**5/2 - 3*h**4/2 + 63*h**3/2 - 141*h**2/2 + 60*h - 18 = 0?
-6, 1, 2
Factor -7*q**4 + 429*q**3 + 760*q**2 - 252*q.
-q*(q - 63)*(q + 2)*(7*q - 2)
Determine a so that -20*a**5 - 385*a**4 - 95*a**3 = 0.
-19, -1/4, 0
Determine f so that -2*f**2 + 54*f = 0.
0, 27
Let 17*k**4 - 137*k**3 + 93*k**2 + 845*k - 50 = 0. What is k?
-2, 1/17, 5
Factor 2*r**5 + 648*r**4 + 1288*r**3 - 4*r**2 - 1290*r - 644.
2*(r - 1)*(r + 1)**3*(r + 322)
Determine z so that z**4/6 - 2*z**3 + 5*z**2/2 + 28*z/3 - 10 = 0.
-2, 1, 3, 10
Let -5*p**5 + 25*p**3 - 20*p = 0. Calculate p.
-2, -1, 0, 1, 2
Determine n so that -2*n**3/5 - 4*n**2 + 2*n/5 + 4 = 0.
-10, -1, 1
Solve -2*w**3/11 - 10*w**2/11 - 12*w/11 = 0 for w.
-3, -2, 0
Factor 4*o**5 + 16*o**4.
4*o**4*(o + 4)
Factor -a**3/3 + 52*a**2/3 + 53*a/3.
-a*(a - 53)*(a + 1)/3
Suppose 50*o**2 - 8840*o + 390728 = 0. Calculate o.
442/5
Factor 3*f**4 + 3498*f**3 + 1012644*f**2 - 4096170*f + 3080025.
3*(f - 3)*(f - 1)*(f + 585)**2
Factor 3*w**4/7 + 3*w**3/7 - 39*w**2/7 - 75*w/7 - 36/7.
3*(w - 4)*(w + 1)**2*(w + 3)/7
Factor j**4/3 - 98*j**3/3 - 316*j**2 - 1630*j/3 + 2675/3.
(j - 107)*(j - 1)*(j + 5)**2/3
Find l such that l**4/3 - 26*l**3/3 - 28*l**2/3 + 26*l/3 + 9 = 0.
-1, 1, 27
Suppose 4*x**4/7 - 96*x**3/7 + 72*x**2/7 + 64*x + 276/7 = 0. Calculate x.
-1, 3, 23
Suppose -a**3/7 - 10*a**2/7 + 24*a/7 = 0. Calculate a.
-12, 0, 2
Solve 135*y**3 - 267*y**2 + 129*y + 3 = 0 for y.
-1/45, 1
Factor w**4 + 428*w**3 - 1293*w**2 + 4*w + 1724.
(w - 2)**2*(w + 1)*(w + 431)
Determine o, given that 5*o**4 + 20*o**3 - 30*o**2 - 20*o + 25 = 0.
-5, -1, 1
Factor 2*q**3/15 + 14*q**2/15 + 16*q/15 - 32/15.
2*(q - 1)*(q + 4)**2/15
Factor -i**2/3 - 79*i - 236/3.
-(i + 1)*(i + 236)/3
Solve 2*p**3/9 - 2*p**2/3 + 4*p/9 = 0 for p.
0, 1, 2
Solve -2*l**5/13 + 70*l**4/13 + 6*l**3 - 206*l**2/13 - 356*l/13 - 144/13 = 0.
-1, 2, 36
Factor -5*m**4 - 90*m**3 - 485*m**2 - 720*m - 320.
-5*(m + 1)**2*(m + 8)**2
Suppose -4*o**3 - 12*o**2 - 8*o = 0. Calculate o.
-2, -1, 0
Factor -12*p**2 + 200*p + 68.
-4*(p - 17)*(3*p + 1)
Determine m so that 42*m**4/11 - 174*m**3/11 + 150*m**2/11 - 18*m/11 = 0.
0, 1/7, 1, 3
Find l such that 3*l**5/7 + 2*l**4 - l**3/7 - 36*l**2/7 + 4*l/7 + 16/7 = 0.
-4, -2, -2/3, 1
Determine t, given that 6*t**3 + 123*t**2 + 261*t - 162 = 0.
-18, -3, 1/2
Factor 4*z**2 - 16*z + 16.
4*(z - 2)**2
What is v in -v**2 - 51*v + 280 = 0?
-56, 5
Factor f**3 + 3*f**2 - f - 3.
(f - 1)*(f + 1)*(f + 3)
Find j, given that -j**3 - 36*j**2 + 39*j + 74 = 0.
-37, -1, 2
Determine q so that -6*q**4 - 39*q**3 - 12*q**2 + 39*q + 18 = 0.
-6, -1, -1/2, 1
What is m in -5*m**5 - 30*m**4 + 180*m**3 + 470*m**2 - 2415*m + 1800 = 0?
-8, -5, 1, 3
Suppose v**2/5 - 233*v/5 + 232/5 = 0. What is v?
1, 232
Factor 2*p**2/7 - 30*p/7 - 116.
2*(p - 29)*(p + 14)/7
Determine v so that v**3/3 + 13*v**2 + 169*v + 2197/3 = 0.
-13
Solve -9*x**5 + 33*x**4 - 15*x**3 - 9*x**2 = 0 for x.
-1/3, 0, 1, 3
What is z in -55*z**4 + 100*z**3 + 75*z**2 - 100*z - 20 = 0?
-1, -2/11, 1, 2
Let 2*k**3 + 16*k**2 = 0. Calculate k.
-8, 0
Determine c so that -5*c**3 - 365*c**2 + 745*c - 375 = 0.
-75, 1
Suppose -27*j**5/2 - 525*j**4/2 - 1713*j**3/2 + 9141*j**2/2 + 2178*j = 0. Calculate j.
-11, -4/9, 0, 3
Factor r**3 + 107*r**2 - r - 107.
(r - 1)*(r + 1)*(r + 107)
Suppose 5*z**2 + 1180*z = 0. What is z?
-236, 0
Suppose -4*x**2 + 712*x - 708 = 0. Calculate x.
1, 177
Determine k so that 2*k**5 - 50*k**4 + 252*k**3 - 472*k**2 + 304*k = 0.
0, 2, 19
Suppose d**3/4 + d**2/4 - 8*d - 15 = 0. What is d?
-5, -2, 6
Determine m so that 13*m**3 - 272*m**2 + 505*m - 246 = 0.
1, 246/13
Determine u so that 6*u**5/11 + 28*u**4/11 - 20*u**3/11 - 48*u**2/11 + 14*u/11 + 20/11 = 0.
-5, -1, -2/3, 1
Determine t so that -3*t**3 - 540*t**2 + 2196*t - 2208 = 0.
-184, 2
Factor -3*s**2/2 + 39*s/2 - 45.
-3*(s - 10)*(s - 3)/2
Determine w so that 5*w**2 - 320*w + 5120 = 0.
32
Find y such that y**3/2 - 27*y**2/2 + 13*y = 0.
0, 1, 26
Find m, given that 3*m**4 - 60*m**3 + 366*m**2 - 804*m + 495 = 0.
1, 3, 5, 11
Factor 18*l**3 - 94*l**2 + 128*l - 24.
2*(l - 3)*(l - 2)*(9*l - 2)
Factor 4*i**3 + 92*i**2 + 700*i + 1764.
4*(i + 7)**2*(i + 9)
What is q in -2*q**2/3 + 1096*q + 3294 = 0?
-3, 1647
Let 2*n**3 + 97*n**2 + 1100*n - 1875 = 0. Calculate n.
-25, 3/2
Let -2*p**5/17 + 16*p**4/17 - 44*p**3/17 + 56*p**2/17 - 2*p + 8/17 = 0. What is p?
1, 4
Find l, given that l**2/3 - 17*l + 98/3 = 0.
2, 49
Suppose w**4/4 - 8*w**3 - 281*w**2/2 - 256*w - 495/4 = 0. Calculate w.
-11, -1, 45
Determine l, given that -35*l**5/4 - 3*l**4/2 + 169*l**3/2 + 12*l**2 - 207*l/4 + 27/2 = 0.
-3, -1, 2/5, 3/7, 3
Determine s so that -9*s**3/2 - 66*s**2 - 42*s = 0.
-14, -2/3, 0
Suppose t**2 - 5668*t + 8031556 = 0. What is t?
2834
Factor 2*o**4/5 - 2*o**3/5 - 18*o**2/5 + 18*o/5.
2*o*(o - 3)*(o - 1)*(o + 3)/5
Suppose 5*b**2 + 315*b + 4810 = 0. What is b?
-37, -26
Find f such that 6*f**3/5 - 7526*f**2 + 58994432*f/5 + 19668992/5 = 0.
-1/3, 3136
What is l in -5*l**2 - 8290*l - 3436205 = 0?
-829
Suppose -5*a**3 - 40*a**2 + 320*a + 2560 = 0. Calculate a.
-8, 8
Factor -5*z**5 + 10*z**4 + 20*z**3 - 40*z**2.
-5*z**2*(z - 2)**2*(z + 2)
Factor -3*t**3/5 + 83*t**2 + 1124*t/5 + 564/5.
-(t - 141)*(t + 2)*(3*t + 2)/5
Factor -4*x**2/11 - 170*x/11 + 86/11.
-2*(x + 43)*(2*x - 1)/11
Factor 3*y**2 + 10824*y + 9763248.
3*(y + 1804)**2
Let -4*q**3 - 44*q**2 - 128*q - 112 = 0. Calculate q.
-7, -2
Determine k so that -k**3/4 - 3*k**2/2 - 9*k/4 - 1 = 0.
-4, -1
Factor -v**3/3 + 47*v**2/3 - 91*v/3 + 15.
-(v - 45)*(v - 1)**2/3
Factor -3*c**4 + 51*c**3 - 126*c**2 - 12*c + 168.
-3*(c - 14)*(c - 2)**2*(c + 1)
Find r such that -2*r**2/11 - 64*r/11 - 270/11 = 0.
-27, -5
Suppose -2*x**4 - 38*x**3 - 128*x**2 - 120*x = 0. Calculate x.
-15, -2, 0
Factor -s**2/6 + 29*s/3 - 841/6.
-(s - 29)**2/6
Let 2*j**5/7 + 46*j**4/7 + 232*j**3/7 - 472*j**2/7 - 960*j/7 + 1152/7 = 0. What is j?
-12, -2, 1, 2
Let 3*x**2/4 + 69*x/4 = 0. Calculate x.
-23, 0
Solve -2*m**4/7 + 636*m**3/7 - 51194*m**2/7 + 100488*m/7 - 49928/7 = 0 for m.
1, 158
Find g such that -4*g**4/5 - 228*g**3/5 + 204*g**2 + 2708*g/5 + 1464/5 = 0.
-61, -1, 6
Let 3*s**2 - 78*s + 75 = 0. Calculate s.
1, 25
Factor 5*c**5 - 5*c**4 - 120*c**3 + 440*c**2 - 560*c + 240.
5*(c - 2)**3*(c - 1)*(c + 6)
Factor r**3 + r**2 - 33*r + 63.
(r - 3)**2*(r + 7)
Let 2*b**5/5 - 2*b**4/5 - 18*b**3/5 + 18*b**2/5 = 0. Calculate b.
-3, 0, 1, 3
Factor 2*n**2/15 + 4*n/5.
2*n*(n + 6)/15
Factor 10*r**3 - 1542*r**2/11 + 5418*r/11 - 98/11.
2*(r - 7)**2*(55*r - 1)/11
Factor -o**3/5 + 2091*o**2/5 - 1457427*o/5 + 338608873/5.
-(o - 697)**3/5
Factor -2*z**3 - 342*z**2 - 1344*z - 1336.
-2*(z + 2)**2*(z + 167)
Determine b, given that 841*b**2/3 - 2320*b + 4800 = 0.
120/29
Factor 14*j**2/15 - 9404*j/15 - 896/5.
2*(j - 672)*(7*j + 2)/15
Find t, given that 3*t**3/4 - 5*t**2/4 - t/2 = 0.
-1/3, 0, 2
Let -5*j**2 + 800*j - 3120 = 0. What is j?
4, 156
Find p such that -2*p**2 - 92*p - 1058 = 0.
-23
Determine c, given that -2*c**4 + 680*c**3 - 2028*c**2 + 2024*c - 674 = 0.
1, 337
Solve -4*j**2 + 232*j + 236 = 0.
-1, 59
Suppose -11*y**5 + 71*y**4/3 - 41*y**3/3 + y**2/3 + 2*y/3 = 0. Calculate y.
-2/11, 0, 1/3, 1
F