3.
t*(t - 22075)*(t + 1)/3
Determine t, given that -2*t**2/11 - 20728*t/11 + 20730/11 = 0.
-10365, 1
Determine b, given that 31355*b**2 - 15*b = 0.
0, 3/6271
What is d in 2*d**3 + 117*d**2/2 + 821*d/2 + 99 = 0?
-18, -11, -1/4
Find a, given that -5*a**3 + 480*a**2 - 6525*a - 15010 = 0.
-2, 19, 79
Factor -2*u**5 + 274*u**4 - 1072*u**3 + 1064*u**2.
-2*u**2*(u - 133)*(u - 2)**2
Factor -4*v**3/3 + 104*v**2/3 + 5632*v/3 - 155648/3.
-4*(v - 32)**2*(v + 38)/3
Determine w, given that w**4/7 - 191*w**3/7 - 981*w**2/7 + 191*w/7 + 140 = 0.
-5, -1, 1, 196
Determine v, given that 2*v**4/5 - 238*v**3/5 + 1372*v**2/5 - 1808*v/5 = 0.
0, 2, 4, 113
Solve 3*b**4 - 5352*b**3 + 2370882*b**2 + 14370120*b + 21627675 = 0.
-3, 895
Factor 2*b**3/9 - 170*b**2/3 - 187798*b/3 + 178974718/9.
2*(b - 403)**2*(b + 551)/9
Factor p**3/8 - 123*p**2/2 - 248*p.
p*(p - 496)*(p + 4)/8
Suppose -5*o**4 + 20*o**3 + 35*o**2 - 170*o + 120 = 0. What is o?
-3, 1, 2, 4
Factor 4*c**3 + 584349*c**2 + 730431*c + 146086.
(c + 1)*(c + 146086)*(4*c + 1)
Suppose -16*l**4 - 212*l**3 + 86428*l**2 + 2884484*l + 715716 = 0. Calculate l.
-47, -1/4, 81
Factor 3*m**3/5 - 67884*m**2/5 + 383544159*m/5 + 5382931722/5.
3*(m - 11321)**2*(m + 14)/5
Factor -28*t**2/3 - 15020*t/3 - 26904.
-4*(t + 531)*(7*t + 38)/3
Factor -3*k**3/4 + 57*k**2/2 - 1341*k/4 + 2295/2.
-3*(k - 17)*(k - 15)*(k - 6)/4
Suppose 4*f**3 - 852*f**2 + 30744*f - 84672 = 0. Calculate f.
3, 42, 168
Factor -4*q**3 - 137176*q**2 + 823164*q - 1234800.
-4*(q - 3)**2*(q + 34300)
What is a in a**4/7 - 113065*a**3/7 - 678414*a**2/7 - 1356844*a/7 - 129224 = 0?
-2, 113071
Find a such that -5*a**4 + 405*a**3 + 12735*a**2 - 13925*a - 26250 = 0.
-25, -1, 2, 105
Determine a, given that 2*a**3 + 128*a**2 + 1898*a - 2028 = 0.
-39, -26, 1
Suppose 66*p**4 + 7725*p**3 - 120693*p**2 - 5502*p = 0. What is p?
-131, -1/22, 0, 14
Factor -3*o**2 + 24783*o + 347550.
-3*(o - 8275)*(o + 14)
Suppose -t**3 - 1564*t**2 + 31749*t + 109296 = 0. Calculate t.
-1584, -3, 23
Factor 2*m**4/9 - 119054*m**3/3 + 5315255120*m**2/3 - 15945408200*m/9.
2*m*(m - 89290)**2*(m - 1)/9
Factor 4*s**2 - 2644*s - 57288.
4*(s - 682)*(s + 21)
Factor a**4/5 + 181*a**3 + 3609*a**2/5 + 4507*a/5 + 1802/5.
(a + 1)**2*(a + 2)*(a + 901)/5
Factor -3*s**5/4 + 3*s**4/4 + 117*s**3.
-3*s**3*(s - 13)*(s + 12)/4
Factor -3*n**2 + 699*n + 11160.
-3*(n - 248)*(n + 15)
Determine w so that -12*w**3/7 + 76*w**2 + 1516*w/7 - 564/7 = 0.
-3, 1/3, 47
Solve -2*s**3 + 824*s**2 + 1046678*s - 494066636 = 0.
-742, 577
Suppose 1458*k**4/7 + 54918*k**3 - 514296*k**2/7 + 228832*k/7 - 33920/7 = 0. What is k?
-265, 4/9
Suppose -5*x**2 - 22215*x - 44410 = 0. What is x?
-4441, -2
Factor 2*u**2 + 34318*u - 68644.
2*(u - 2)*(u + 17161)
Factor 2*d**3 - 966*d**2 + 3840*d - 3832.
2*(d - 479)*(d - 2)**2
Determine c so that -804*c**2 + 45016*c + 448 = 0.
-2/201, 56
Determine y so that -5*y**5/4 - 694225*y**4/2 - 2776875*y**3/2 - 2082650*y**2 - 5553725*y/4 - 694215/2 = 0.
-277686, -1
Let -2*f**5/3 + 1870*f**4/3 + 2*f**3/3 - 1870*f**2/3 = 0. Calculate f.
-1, 0, 1, 935
What is h in -5*h**3 - 1585*h**2 + 12925*h - 24375 = 0?
-325, 3, 5
Factor 512*k**3 - 23520*k**2 - 2943*k/2 - 23.
(k - 46)*(32*k + 1)**2/2
Suppose z**4/5 + 34*z**3/5 - 687*z**2/5 + 2308*z/5 - 2156/5 = 0. What is z?
-49, 2, 11
Suppose 18*l**5/7 - 521418*l**4/7 + 49658*l**3 - 57934*l**2/7 = 0. Calculate l.
0, 1/3, 28967
Factor -2*r**2/11 + 3350*r/11 + 50700/11.
-2*(r - 1690)*(r + 15)/11
Factor -494*p**2/11 - 674*p - 60/11.
-2*(p + 15)*(247*p + 2)/11
Determine o so that 2*o**2/11 - 465728*o/11 + 27112821248/11 = 0.
116432
Factor 5*p**2 - 385*p - 66400.
5*(p - 160)*(p + 83)
Factor -4*p**3 + 992*p**2 + 4*p - 992.
-4*(p - 248)*(p - 1)*(p + 1)
Factor x**2 + 584*x - 22320.
(x - 36)*(x + 620)
Factor z**4/2 + 45*z**3/2 + 519*z**2/2 + 907*z/2 + 216.
(z + 1)**2*(z + 16)*(z + 27)/2
Factor o**2/5 + 25579*o/5 + 179004/5.
(o + 7)*(o + 25572)/5
Let a**5/2 - 99*a**4 + 5685*a**3 - 58378*a**2 - 2777475*a/2 - 1324575 = 0. What is a?
-10, -1, 35, 87
Find c such that -3*c**5 + 7812*c**4 + 6*c**3 - 15624*c**2 - 3*c + 7812 = 0.
-1, 1, 2604
Solve -3645*v**2 - 154980*v - 1647380 = 0.
-574/27
Find z such that 4*z**2/7 + 49312*z/7 + 98512 = 0.
-12314, -14
Determine p so that -2*p**2/5 - 2496*p/5 + 287048/5 = 0.
-1354, 106
Solve -2*b**3/9 - 57022*b**2/9 = 0 for b.
-28511, 0
Factor -s**4 + 7216*s**3 - 7213*s**2 - 14430*s.
-s*(s - 7215)*(s - 2)*(s + 1)
Find d, given that -d**2/3 + 2239*d + 6720 = 0.
-3, 6720
Factor j**4/6 + 25*j**3/6 - 823*j**2/6 + 3707*j/6 + 1815.
(j - 11)**2*(j + 2)*(j + 45)/6
Factor c**2 + 8943*c - 71608.
(c - 8)*(c + 8951)
Factor -l**3/6 - 2331*l**2.
-l**2*(l + 13986)/6
Factor 4*g**4 - 224*g**3 + 420*g**2 + 648*g.
4*g*(g - 54)*(g - 3)*(g + 1)
Factor a**3/2 - 200055*a**2 + 20011201566*a - 40021602916.
(a - 200054)**2*(a - 2)/2
Factor k**2 + 20204*k - 101045.
(k - 5)*(k + 20209)
Factor -4*z**3 - 36*z**2 + 840*z - 800.
-4*(z - 10)*(z - 1)*(z + 20)
What is z in -z**2 - 915418*z - 209497528681 = 0?
-457709
Factor -u**2/2 - 1905*u + 3812.
-(u - 2)*(u + 3812)/2
What is h in -2*h**3/7 - 58*h**2/7 - 446*h/7 - 390/7 = 0?
-15, -13, -1
Factor -2*k**2/9 - 90848*k/9 - 211946/3.
-2*(k + 7)*(k + 45417)/9
Factor -v**2 + 26474*v.
-v*(v - 26474)
Solve 4*v**2/5 + 468*v/5 + 1944 = 0.
-90, -27
Factor -2*i**2/5 - 69346*i/5 + 69348/5.
-2*(i - 1)*(i + 34674)/5
Find d such that 2*d**4/17 + 14*d**3/17 - 274*d**2/17 + 1050*d/17 - 72 = 0.
-17, 3, 4
Factor -s**3/2 + 3287*s**2/2 + 4934*s + 3290.
-(s - 3290)*(s + 1)*(s + 2)/2
What is u in 2*u**2/5 + 4948*u/5 + 14826/5 = 0?
-2471, -3
Factor o**2/4 - 353697*o/2 + 125101567809/4.
(o - 353697)**2/4
Find x such that -x**3/2 - 707*x**2 + 1415*x/2 = 0.
-1415, 0, 1
What is k in 4*k**2 + 1984*k - 5988 = 0?
-499, 3
Solve -j**4/6 - 19*j**3/6 + 19*j**2 - 24*j = 0 for j.
-24, 0, 2, 3
Factor y**2 - 407*y - 9438.
(y - 429)*(y + 22)
Find h, given that 31*h**2/7 + 88534*h/7 - 816 = 0.
-2856, 2/31
Factor r**2/4 + 7473*r/2.
r*(r + 14946)/4
Find l such that 36*l**4 + 5421*l**3 - 24567*l**2 + 12135*l + 6975 = 0.
-155, -1/3, 1, 15/4
Find r such that 2*r**4/3 - 122*r**3/3 - 1778*r**2/3 + 1898*r/3 = 0.
-13, 0, 1, 73
Factor 2*q**4 - 76*q**3 - 176*q**2 + 640*q.
2*q*(q - 40)*(q - 2)*(q + 4)
Factor 2*f**2/3 - 47452*f/3 + 47450/3.
2*(f - 23725)*(f - 1)/3
Determine b, given that 5*b**3 - 840*b**2 - 855*b + 1690 = 0.
-2, 1, 169
Find h such that -3*h**3/5 - 3621*h**2/5 + 184488*h/5 - 180864/5 = 0.
-1256, 1, 48
Factor -15*p**2/2 - 9687*p/4 + 969/4.
-3*(p + 323)*(10*p - 1)/4
Find h, given that -4*h**3 - 6064*h**2 + 18228*h = 0.
-1519, 0, 3
Suppose 3*f**5 - 60*f**4 + 33*f**3 + 2724*f**2 - 2556*f - 5184 = 0. What is f?
-6, -1, 2, 9, 16
Factor a**4/4 + 111*a**3/2 + 12093*a**2/4 - 6440*a - 9408.
(a - 3)*(a + 1)*(a + 112)**2/4
Suppose -2*n**4 - 92*n**3/3 - 74*n**2 + 224*n/3 + 32 = 0. What is n?
-12, -4, -1/3, 1
Let z**5/2 - 1183*z**4/2 - 5959*z**3 - 7187*z**2 + 69229*z/2 - 41755/2 = 0. What is z?
-7, -5, 1, 1193
Let l**3/7 - 1273*l**2/7 - 3826*l/7 - 2552/7 = 0. Calculate l.
-2, -1, 1276
Suppose -2*m**4 + 1442*m**3 + 4362*m**2 - 12978*m - 39096 = 0. What is m?
-3, 3, 724
Suppose -64*s**4 - 126020*s**3 - 61849796*s**2 + 182796512*s + 11666352 = 0. Calculate s.
-986, -1/16, 3
Let -2*a**3/5 - 168*a**2/5 + 9518*a/5 - 9348/5 = 0. What is a?
-123, 1, 38
Factor 34*i**2/7 - 1908*i/7 + 32.
2*(i - 56)*(17*i - 2)/7
Let j**3/3 + 25*j**2/3 - 563*j + 2565 = 0. What is j?
-57, 5, 27
Let -2*p**3/7 - 1874*p**2/7 - 3742*p/7 - 1870/7 = 0. What is p?
-935, -1
Factor 5*d**2 + 240*d - 28325.
5*(d - 55)*(d + 103)
Let c**3 - 1021*c**2 + 302339*c - 20365055 = 0. What is c?
95, 463
Let -1647*b**5 - 95520*b**4 - 693039*b**3 + 20062986*b**2 - 72705780*b + 264600 = 0. Calculate b.
-35, 2/549, 6
Suppose -2*p**3 - 136*p**2 + 310*p + 2100 = 0. What is p?
-70, -3, 5
Solve -k**4/2 + 335*k**3 - 119833*k**2/2 + 1251948*k = 0 for k.
0, 24, 323
Solve 3*m**4 - 540*m**3 - 38538*m**2 + 7754556*m + 7792551 = 0.
-117, -1, 149
Factor 4*j**2 + 2604*j - 370080.
4*(j - 120)*(j + 771)
Factor 4*z**2 - 258320*z + 4170576400.
4*(z - 32290)**2
Find j such that -4*j**4/7 - 1768*j**3/7 - 232800*j**2/7 - 1138816*j - 4039168 = 0.
-196, -46, -4
Factor 2*n**3/7 + 11590*n**2 - 81132*n/7.
2*n*(n - 1)*(n + 40566)/7
Let 10*s**3 + 9626*s**2 + 15368*s - 7688 = 0. Calcul