 759
What is n in -20*n**5 - 335*n**4 - 1815*n**3 - 3025*n**2 + 875*n = 0?
-7, -5, 0, 1/4
Factor -16*i**4 + 208*i**3 - 772*i**2 + 624*i - 144.
-4*(i - 6)**2*(2*i - 1)**2
Find j such that -5*j**2 - 15305*j = 0.
-3061, 0
Factor -b**3/8 - 127*b**2/8 - 527*b - 2883/2.
-(b + 3)*(b + 62)**2/8
Solve 52020*i**2 - 7140*i + 245 = 0.
7/102
What is y in 3*y**2/8 + 9*y/8 + 3/4 = 0?
-2, -1
Suppose -250*b**3/9 + 500*b**2/9 + 520*b/9 + 112/9 = 0. Calculate b.
-2/5, 14/5
Find t such that t**5/2 + t**4/2 - 3*t**3/2 - t**2/2 + t = 0.
-2, -1, 0, 1
Determine c, given that -4*c**3/9 - 820*c**2/9 - 33152*c/9 + 953344/9 = 0.
-112, 19
Determine o, given that -5*o**5 + 20*o**4 + 5*o**3 - 80*o**2 + 60*o = 0.
-2, 0, 1, 2, 3
Find g, given that g**4/5 + 284*g**3/5 + 20446*g**2/5 + 40044*g/5 + 19881/5 = 0.
-141, -1
Factor -14*i**2/9 - 290*i/9 + 28/3.
-2*(i + 21)*(7*i - 2)/9
Determine z so that z**2/4 - z/4 - 1/2 = 0.
-1, 2
Let 3*s**2 - 474*s - 477 = 0. Calculate s.
-1, 159
Factor -120*m**3 - 284*m**2 - 92*m - 8.
-4*(m + 2)*(5*m + 1)*(6*m + 1)
Factor -38*q**3 - 8738*q**2 - 502090*q + 26450.
-2*(q + 115)**2*(19*q - 1)
Factor o**2/5 + 11*o/5 - 16.
(o - 5)*(o + 16)/5
Factor -2*y**2/9 + 8*y/3 - 64/9.
-2*(y - 8)*(y - 4)/9
Find l, given that -14*l**5 - 1060*l**4 + 2474*l**3 - 1712*l**2 + 312*l = 0.
-78, 0, 2/7, 1
Factor -5*s**2 + 10*s + 120.
-5*(s - 6)*(s + 4)
Determine l, given that -2*l**3/7 - 30*l**2/7 - 96*l/7 - 88/7 = 0.
-11, -2
Solve 3*i**5 + 18*i**4 + 39*i**3 + 36*i**2 + 12*i = 0 for i.
-2, -1, 0
Factor 35*n**2 - 80*n + 20.
5*(n - 2)*(7*n - 2)
Solve -4*j**5 + 20*j**4 - 36*j**3 + 28*j**2 - 8*j = 0.
0, 1, 2
Let -28*f**5 - 184*f**4 - 432*f**3 - 472*f**2 - 244*f - 48 = 0. Calculate f.
-3, -1, -4/7
Suppose -q**5/4 - q**4/4 + 5*q**3 = 0. What is q?
-5, 0, 4
Factor -u**4/5 - 2*u**3 - 19*u**2/5 + 6*u.
-u*(u - 1)*(u + 5)*(u + 6)/5
Factor 4*y**5/9 - 16*y**4/9 - 28*y**3/3.
4*y**3*(y - 7)*(y + 3)/9
Factor -r**5 - 78*r**4 - 1596*r**3 - 2888*r**2.
-r**2*(r + 2)*(r + 38)**2
Find j, given that 3*j**2 - 12*j - 96 = 0.
-4, 8
Suppose -5*c**2 + 25*c + 30 = 0. Calculate c.
-1, 6
Find u such that -5*u**3 - 370*u**2 - 365*u = 0.
-73, -1, 0
Factor 3*t**5/4 - 6*t**4 + 39*t**3/4 - 9*t**2/2.
3*t**2*(t - 6)*(t - 1)**2/4
Determine d so that -2*d**4/9 + 40*d**3/3 + 124*d**2/9 - 40*d/3 - 122/9 = 0.
-1, 1, 61
Factor -c**2/4 + 89*c/4 + 91/2.
-(c - 91)*(c + 2)/4
Factor f**2/4 - 151*f/2 + 22801/4.
(f - 151)**2/4
Factor -2*j**2/11 - 28*j/11 - 90/11.
-2*(j + 5)*(j + 9)/11
Determine t, given that -20*t**3 - 94*t**2/5 + 6*t/5 = 0.
-1, 0, 3/50
Solve 3*d**2/4 + 759*d/2 + 192027/4 = 0 for d.
-253
Find r such that 5*r**3 + 105*r**2 + 195*r - 4225 = 0.
-13, 5
Factor 2*c**2 - 226*c + 444.
2*(c - 111)*(c - 2)
Solve 2*k**5 - 2*k**4 - 76*k**3 - 248*k**2 - 304*k - 128 = 0 for k.
-2, -1, 8
Suppose -q**2/4 + 3*q/4 = 0. Calculate q.
0, 3
Factor -2*o**2/13 + 172*o/13 - 3698/13.
-2*(o - 43)**2/13
Factor d**2/6 - 34*d/3 - 23/2.
(d - 69)*(d + 1)/6
Factor k**3/9 - 529*k**2/9 - 532*k/9 + 1060/9.
(k - 530)*(k - 1)*(k + 2)/9
Factor -4*s**3/9 - 43*s**2/9 + 80*s/9 + 448/3.
-(s + 8)**2*(4*s - 21)/9
Factor -2*o**3/9 - 128*o**2/9 + 544*o/9.
-2*o*(o - 4)*(o + 68)/9
Factor 3*g**4 - 951*g**3 - 1911*g**2 - 957*g.
3*g*(g - 319)*(g + 1)**2
Factor -12*h**2/7 - 52*h - 120/7.
-4*(h + 30)*(3*h + 1)/7
Factor -3*g**3 - 30*g**2 - 72*g.
-3*g*(g + 4)*(g + 6)
Solve -2*i**4/7 + 46*i**3/7 + 330*i**2 - 54926*i/7 - 57188/7 = 0 for i.
-34, -1, 29
Solve 7*c**4/6 + 54*c**3 + 407*c**2/6 + 15*c = 0 for c.
-45, -1, -2/7, 0
Find i such that 5*i**5/2 - 105*i**4/2 + 50*i**3 = 0.
0, 1, 20
What is t in -2*t**2 + 18*t - 28 = 0?
2, 7
Find z, given that -9*z**5/11 + 978*z**4/11 - 26872*z**3/11 + 15344*z**2/11 + 57456*z/11 + 23328/11 = 0.
-2/3, 2, 54
Factor 2*h**4 - 446*h**3 + 26336*h**2 - 159840*h - 186624.
2*(h - 108)**2*(h - 8)*(h + 1)
Find i, given that -3*i**3/4 - 381*i**2/4 + 771*i/4 - 387/4 = 0.
-129, 1
What is f in f**5/5 - 2*f**3/5 + f/5 = 0?
-1, 0, 1
Find q, given that -q**2/7 + 65*q/7 - 18 = 0.
2, 63
Suppose 9*d**3 + 104*d**2 - 48*d = 0. What is d?
-12, 0, 4/9
Suppose 14*d**3 - 108*d**2 + 178*d + 60 = 0. Calculate d.
-2/7, 3, 5
Factor -2*z**3 + 38*z**2 - 160*z - 200.
-2*(z - 10)**2*(z + 1)
Solve 2*j**3/3 - 28*j**2 + 294*j = 0.
0, 21
Find l, given that 3*l**4/4 + 27*l**3/4 + 18*l**2 + 12*l = 0.
-4, -1, 0
Determine p, given that 64*p**3/3 + 104*p**2/3 - 526*p/3 + 124/3 = 0.
-31/8, 1/4, 2
Solve -2*k**5/3 + 26*k**4/15 + 64*k**3/15 - 248*k**2/15 + 64*k/5 = 0 for k.
-3, 0, 8/5, 2
Factor -20*t**3 - 2932*t**2 + 7136*t - 2384.
-4*(t - 2)*(t + 149)*(5*t - 2)
Solve l**3 + 111*l**2 + 4107*l + 50653 = 0.
-37
Suppose -5*q**2 + 700*q - 24500 = 0. Calculate q.
70
Factor -4*a**4/9 + 80*a**3/9 + 368*a**2/9 + 128*a/3.
-4*a*(a - 24)*(a + 2)**2/9
Let -3*i**3 - 117*i**2 - 1080*i + 1200 = 0. Calculate i.
-20, 1
Let 3*b**4 + 162*b**3 + 2019*b**2 - 4536*b + 2352 = 0. What is b?
-28, 1
Factor 522*v**2/7 - 3*v/7.
3*v*(174*v - 1)/7
Solve 3*m**3/4 - 315*m**2 + 44100*m - 2058000 = 0.
140
Suppose 2*l**2/5 + 8*l = 0. What is l?
-20, 0
Factor -k**4 - 12*k**3 - 50*k**2 - 84*k - 45.
-(k + 1)*(k + 3)**2*(k + 5)
Factor -4*h**3 - 504*h**2 - 21168*h - 296352.
-4*(h + 42)**3
Factor t**2/8 + 93*t/8 - 297/4.
(t - 6)*(t + 99)/8
Find d, given that 2*d**2 + 17208*d + 37014408 = 0.
-4302
Suppose -5*d**3 + 365*d**2 + 745*d + 375 = 0. Calculate d.
-1, 75
Factor 3*i**5 - 27*i**4 - 81*i**3 + 1335*i**2 - 3150*i.
3*i*(i - 6)*(i - 5)**2*(i + 7)
Factor 578*h**3 + 272*h**2 + 32*h.
2*h*(17*h + 4)**2
Solve -2*v**2 - 164*v + 1056 = 0 for v.
-88, 6
Factor -6*d**4 - 10*d**3 + 32*d**2 + 24*d.
-2*d*(d - 2)*(d + 3)*(3*d + 2)
Factor -d**3/3 - d**2 - 2*d/3.
-d*(d + 1)*(d + 2)/3
Let -n**5 + 6*n**4 - 8*n**3 - 16*n**2 + 48*n - 32 = 0. What is n?
-2, 2
Factor -10*d**3 - 24*d**2 - 18*d - 4.
-2*(d + 1)**2*(5*d + 2)
Find z such that z**2/2 + 233*z/2 + 116 = 0.
-232, -1
Factor 2*q**4/5 + 52*q**3/5 + 506*q**2/5 + 2184*q/5 + 3528/5.
2*(q + 6)**2*(q + 7)**2/5
Factor -m**2 - 77*m - 1102.
-(m + 19)*(m + 58)
Factor 2*a**3 - 56*a**2 + 142*a + 200.
2*(a - 25)*(a - 4)*(a + 1)
Let -15*i**4 + 455*i**3 - 3735*i**2 + 4345*i - 1050 = 0. Calculate i.
1/3, 1, 14, 15
Factor 10*g**4 - 245*g**3 + 1470*g**2 - 675*g.
5*g*(g - 15)*(g - 9)*(2*g - 1)
Factor -1206*p**2/7 - 813*p/7 - 6/7.
-3*(3*p + 2)*(134*p + 1)/7
Suppose -80*g**4 + 1320*g**3 - 4365*g**2 - 8910*g - 3645 = 0. What is g?
-3/4, 9
Factor -4*h**4 + 44*h**3 - 144*h**2 + 64*h + 256.
-4*(h - 4)**3*(h + 1)
Determine i, given that -6*i**3 + 2259*i**2 - 1125*i - 1128 = 0.
-1/2, 1, 376
Factor 3*y**2/2 - 87*y/2 + 42.
3*(y - 28)*(y - 1)/2
Let -2*j**5/3 - 2*j**4 + 22*j**3/3 + 2*j**2 - 20*j/3 = 0. What is j?
-5, -1, 0, 1, 2
Find k such that 3*k**3/2 + 15*k**2/2 - 12*k - 18 = 0.
-6, -1, 2
Factor 3*l**4 - 741*l**3 + 2205*l**2 - 2199*l + 732.
3*(l - 244)*(l - 1)**3
Suppose 70*n**2/3 + 914*n/15 + 12/5 = 0. What is n?
-18/7, -1/25
Factor x**4 - 7*x**3 + x**2 + 27*x + 18.
(x - 6)*(x - 3)*(x + 1)**2
Solve -2*b**5 - 360*b**4 - 15836*b**3 + 32760*b**2 - 16562*b = 0 for b.
-91, 0, 1
Factor 2*q**4/9 - 8*q**3/3 - 6*q**2 + 108*q.
2*q*(q - 9)**2*(q + 6)/9
Solve v**4/4 + v**3 - 3*v**2/4 - 7*v/2 - 2 = 0 for v.
-4, -1, 2
Factor 2*n**2 + 474*n + 472.
2*(n + 1)*(n + 236)
Determine x, given that -2*x**3 - 60*x**2 + 1472*x = 0.
-46, 0, 16
Factor -15*y**2 - 357*y - 276.
-3*(y + 23)*(5*y + 4)
Factor v**3 + 114*v**2 + 333*v.
v*(v + 3)*(v + 111)
Factor 5*x**2 - 40*x + 80.
5*(x - 4)**2
Factor 21*u**4 + 275*u**3 - 583*u**2 + 257*u + 30.
(u - 1)**2*(u + 15)*(21*u + 2)
Factor -2*o**2/3 - 24*o - 162.
-2*(o + 9)*(o + 27)/3
Solve 3*d**5 - 21*d**4 + 54*d**3 - 60*d**2 + 24*d = 0.
0, 1, 2
Determine a so that 4*a**2/5 + 804*a/5 - 808/5 = 0.
-202, 1
Suppose -m**5/4 - 3*m**4/4 + m**2 = 0. Calculate m.
-2, 0, 1
Solve n**4 - 8*n**3 + 9*n**2 + 18*n = 0 for n.
-1, 0, 3, 6
Suppose -5*h**4/2 - 370*h**3 - 18375*h**2 - 312130*h - 588245/2 = 0. What is h?
-49, -1
Factor 15*y**4 - 110*y**3 + 235*y**2 - 60*y - 180.
5*(y - 3)**2*(y - 2)*(3*y + 2)
Factor 2*m**2/3 + 2*m/3 - 28.
2*(m - 6)*(m + 7)/3
Determine p so that -4*p**2/3 - 9028*p/3 = 0.
-2257, 0
Solve f**3/2 + 467*f**2/10 - 1927*f/5 - 808/5 = 0.
-101, -2/5, 8
Determine v, given that 16*v**4/7 - 124*v**3/7 + 272*v**2/7 - 116*v/7 - 48/7 = 0.
-1/4, 1, 3, 4
Solve -5*t**3 - 20*t**2 + 35*t + 50 = 0.
-5