3 - 490/3 = 0. Calculate q.
-35
Factor v**2 - 686*v + 117649.
(v - 343)**2
Suppose 2*l**4/11 + 6*l**3 - 2*l**2/11 - 6*l = 0. What is l?
-33, -1, 0, 1
Let 2*b**3/19 + 340*b**2/19 - 1384*b/19 + 1392/19 = 0. What is b?
-174, 2
Factor 4*l**3 + 32*l**2 + 52*l + 24.
4*(l + 1)**2*(l + 6)
Solve 2*v**2 - 12*v + 18 = 0 for v.
3
Let -3*l**5/4 + 51*l**4/4 - 33*l**3 + 21*l**2 = 0. What is l?
0, 1, 2, 14
Suppose 18*y**4 + 129*y**3 + 219*y**2 + 123*y + 15 = 0. What is y?
-5, -1, -1/6
Suppose -2*x**2 + 10*x = 0. Calculate x.
0, 5
Factor -4*k**4 + 16*k**3 + 4*k**2 - 16*k.
-4*k*(k - 4)*(k - 1)*(k + 1)
What is u in -5*u**2 - 205*u + 210 = 0?
-42, 1
Solve g**3/3 - 4*g**2/3 - 7*g = 0.
-3, 0, 7
Factor -n**3 + 55*n**2 - 1007*n + 6137.
-(n - 19)**2*(n - 17)
Solve 50*g**5 + 310*g**4 - 332*g**3 - 340*g**2 + 186*g + 126 = 0.
-7, -3/5, 1
Factor 3*t**3/2 - 21*t**2 + 147*t/2 - 54.
3*(t - 9)*(t - 4)*(t - 1)/2
Factor g**5/11 - 10*g**4/11 + 24*g**3/11 - 2*g**2 + 7*g/11.
g*(g - 7)*(g - 1)**3/11
Factor -10*m**4 - 5*m**3 + 40*m**2 - 25*m.
-5*m*(m - 1)**2*(2*m + 5)
Factor 2*i**2/5 + 268*i/5 + 8978/5.
2*(i + 67)**2/5
Factor 28*j**2/5 - 4376*j/5 + 1248/5.
4*(j - 156)*(7*j - 2)/5
Factor -4*h**2 + 64*h + 420.
-4*(h - 21)*(h + 5)
Solve 3*n**4 + 8514*n**3 + 6040683*n**2 = 0.
-1419, 0
Suppose -4*m**2 - 68*m + 552 = 0. What is m?
-23, 6
Solve 2*l**5/9 - 76*l**4/9 + 16*l**3 = 0.
0, 2, 36
Let -x**2/6 - 7*x/6 - 5/3 = 0. What is x?
-5, -2
Suppose -3*a**4/7 + 927*a**3/7 + 17334*a**2/7 + 105300*a/7 + 211896/7 = 0. What is a?
-6, 327
Suppose 7*d**2 - 57*d + 8 = 0. What is d?
1/7, 8
What is h in 5*h**5 + 755*h**4 - 3870*h**3 + 4700*h**2 + 3080*h - 6240 = 0?
-156, -1, 2
Find v such that 3*v**3 - 342*v**2 - 3645*v - 9300 = 0.
-5, 124
Factor -5*j**3/2 - 95*j**2/2 + 5*j/2 + 95/2.
-5*(j - 1)*(j + 1)*(j + 19)/2
Solve 2*h**3/5 + 12*h**2/5 + 18*h/5 + 8/5 = 0.
-4, -1
Let 2*l**5/3 - 52*l**4/3 + 32*l**3 = 0. What is l?
0, 2, 24
What is i in 64*i**3/3 - 3824*i**2/3 + 947*i - 177 = 0?
3/8, 59
Factor 7*x**3 - 416*x**2/9 - 173*x/9 - 14/9.
(x - 7)*(7*x + 2)*(9*x + 1)/9
Factor 3*u**4 + 3*u**3 - 9*u**2 - 3*u + 6.
3*(u - 1)**2*(u + 1)*(u + 2)
Factor 5*m**4 + 20*m**3 - 30*m**2 - 20*m + 25.
5*(m - 1)**2*(m + 1)*(m + 5)
Suppose 2*n**5/3 - 4*n**4 + 6*n**3 = 0. Calculate n.
0, 3
Factor -15*b**2 - 93*b + 84.
-3*(b + 7)*(5*b - 4)
Suppose 5*r**3 - 210*r**2 - 5*r + 210 = 0. What is r?
-1, 1, 42
Suppose -28*m**2 - 48*m + 16 = 0. Calculate m.
-2, 2/7
Factor -5*m**4 + 45*m**3 - 105*m**2 + 95*m - 30.
-5*(m - 6)*(m - 1)**3
Find n such that 245*n**3 + 105*n**2 - 225*n - 125 = 0.
-5/7, 1
Factor 2*d**3/5 + 4*d**2/5 - 14*d/5 + 8/5.
2*(d - 1)**2*(d + 4)/5
Factor -2*s**2 + 1800.
-2*(s - 30)*(s + 30)
Solve 2*w**5 + 32*w**4 + 28*w**3 - 32*w**2 - 30*w = 0.
-15, -1, 0, 1
Factor -5*i**4/6 - 25*i**3/6 - 35*i**2/6 - 5*i/2.
-5*i*(i + 1)**2*(i + 3)/6
Find z such that -2*z**3/3 - 22*z**2/3 - 16*z + 24 = 0.
-6, 1
Determine r, given that r**5/5 - r**4 - 91*r**3/5 - 163*r**2/5 - 78*r/5 = 0.
-6, -1, 0, 13
Let k**3 + 459*k**2 + 70227*k + 3581577 = 0. Calculate k.
-153
Factor -3*v**2 - 18*v - 24.
-3*(v + 2)*(v + 4)
Factor -w**3 + w**2 + 4*w - 4.
-(w - 2)*(w - 1)*(w + 2)
Find a such that 3*a**2/5 + 93*a + 462/5 = 0.
-154, -1
Factor y**2 + 468*y - 469.
(y - 1)*(y + 469)
Suppose -3*v**5 - 12*v**4 - 15*v**3 - 6*v**2 = 0. Calculate v.
-2, -1, 0
Find i such that -2*i**2/5 + 974*i/5 + 8928/5 = 0.
-9, 496
Factor -l**2/4 - 483*l/4 - 481/2.
-(l + 2)*(l + 481)/4
Factor 2*z**4 + 198*z**3/5 - 8*z**2.
2*z**2*(z + 20)*(5*z - 1)/5
Determine f, given that f**3/7 - 23*f**2/7 + 25*f - 63 = 0.
7, 9
What is a in 4*a**2 - 36*a = 0?
0, 9
Factor -5*w**4 + 5*w**3 + 135*w**2 - 405*w + 270.
-5*(w - 3)**2*(w - 1)*(w + 6)
Factor -4*i**2 - 160*i + 516.
-4*(i - 3)*(i + 43)
Suppose b**2/3 + 6*b + 32/3 = 0. Calculate b.
-16, -2
Suppose 2*j**4/5 - 262*j**3/5 + 258*j**2/5 + 262*j/5 - 52 = 0. Calculate j.
-1, 1, 130
What is g in -g**4 - 2*g**3 + 5*g**2 + 6*g = 0?
-3, -1, 0, 2
Factor -2*x**4/3 + 26*x**3/3 - 44*x**2/3.
-2*x**2*(x - 11)*(x - 2)/3
Factor 5*b**2/6 - 3745*b/6 + 1245.
5*(b - 747)*(b - 2)/6
Factor -2*y**4 + 2*y**3 + 2*y**2 - 2*y.
-2*y*(y - 1)**2*(y + 1)
Determine o, given that 3*o**3 - 60*o**2 + 39*o + 3042 = 0.
-6, 13
Let 98*a**4/17 + 658*a**3/17 - 978*a**2/17 + 14*a - 16/17 = 0. What is a?
-8, 1/7, 1
Solve o**5 + 4*o**4 + 5*o**3 + 2*o**2 = 0.
-2, -1, 0
Suppose -3*f**4 - 12*f**3 + 93*f**2 - 42*f - 144 = 0. Calculate f.
-8, -1, 2, 3
Suppose 2*j**2/3 - 1192*j/3 + 177608/3 = 0. Calculate j.
298
Factor q**3/4 + 47*q**2/4 + 91*q/4 + 45/4.
(q + 1)**2*(q + 45)/4
Suppose -4*o**5 + 140*o**4 - 740*o**3 + 1300*o**2 - 696*o = 0. What is o?
0, 1, 2, 3, 29
Factor 2*f**3/9 + 8*f**2/3 + 64*f/9.
2*f*(f + 4)*(f + 8)/9
Factor -n**4 - 8*n**3 - 2*n**2 + 32*n - 21.
-(n - 1)**2*(n + 3)*(n + 7)
Let 3892*z**3 + 7792*z**2 + 3908*z + 8 = 0. Calculate z.
-1, -2/973
Factor -2*i**3/5 - 128*i**2/5 - 126*i/5.
-2*i*(i + 1)*(i + 63)/5
Solve -76*c**4 + 236*c**3 - 176*c**2 + 16*c = 0.
0, 2/19, 1, 2
Suppose -3*x**2 - 38*x + 160 = 0. Calculate x.
-16, 10/3
Determine w so that -w**5/2 + w**4/3 + 26*w**3/3 + 31*w**2/3 + 5*w/2 = 0.
-3, -1, -1/3, 0, 5
Factor -3*q**3 + 78*q**2 + 81*q.
-3*q*(q - 27)*(q + 1)
Factor 16*w**4 + 108*w**3 + 68*w**2 - 24*w.
4*w*(w + 1)*(w + 6)*(4*w - 1)
Determine r so that -r**3 + 51*r**2 - 279*r + 405 = 0.
3, 45
Factor 40*a**2 - 166*a + 60.
2*(4*a - 15)*(5*a - 2)
Let 4*t**3 + 72*t**2 + 132*t + 64 = 0. Calculate t.
-16, -1
Determine a, given that 2*a**3/9 + 38*a**2/9 - 40*a/9 = 0.
-20, 0, 1
Factor 5*a**3/4 + 5*a**2 + 25*a/4 + 5/2.
5*(a + 1)**2*(a + 2)/4
Determine x, given that -6*x**4 - 1575*x**3 - 103749*x**2 - 50697*x + 51483 = 0.
-131, -1, 1/2
Let -f**2 - 740*f - 136900 = 0. Calculate f.
-370
Factor -c**2/3 + 337*c/3.
-c*(c - 337)/3
Find j, given that j**3/3 + 5*j**2/3 + 8*j/3 + 4/3 = 0.
-2, -1
Solve 16*n**5 + 220*n**4 + 1075*n**3 + 9125*n**2/4 + 4375*n/2 + 3125/4 = 0.
-5, -5/4
Factor -114*y**2/7 + 118*y/7 - 4/7.
-2*(y - 1)*(57*y - 2)/7
Factor 24*t**4/5 + 72*t**3 + 342*t**2/5 + 84*t/5.
6*t*(t + 14)*(2*t + 1)**2/5
Let -4*w**2/5 - 508*w/5 - 9888/5 = 0. What is w?
-103, -24
Factor -3*t**2 - 11982*t - 11964027.
-3*(t + 1997)**2
Factor 2*n**3 + 122*n**2 + 2214*n + 10206.
2*(n + 7)*(n + 27)**2
Suppose 24*w**3 + 876*w**2 - 894*w + 225 = 0. Calculate w.
-75/2, 1/2
Factor w**5/4 + 5*w**4/4 + w**3.
w**3*(w + 1)*(w + 4)/4
Find o such that 3*o**3 - 39*o**2 + 168*o - 240 = 0.
4, 5
Factor -2*u**5 - 8*u**4 - 10*u**3 - 4*u**2.
-2*u**2*(u + 1)**2*(u + 2)
Factor 5*h**4 + 1350*h**3 + 91120*h**2 - 1350*h - 91125.
5*(h - 1)*(h + 1)*(h + 135)**2
Determine t so that 32*t**4/3 - 16*t**3 - 72*t**2 + 180*t - 108 = 0.
-3, 3/2
Factor 2*z**5 + 6*z**4 - 2*z**3 - 6*z**2.
2*z**2*(z - 1)*(z + 1)*(z + 3)
Find z such that z**4/6 + 329*z**3/6 + 8965*z**2/2 - 9075*z/2 = 0.
-165, 0, 1
Factor 4*a**4 - 144*a**3 + 1108*a**2 - 1800*a + 832.
4*(a - 26)*(a - 8)*(a - 1)**2
Suppose -4*s**5 - 76*s**4 - 60*s**3 + 220*s**2 + 64*s - 144 = 0. Calculate s.
-18, -2, -1, 1
Determine x, given that -x**2/2 - 66*x - 2178 = 0.
-66
What is b in -5*b**4 + 290*b**3/3 + 1645*b**2/3 + 860*b/3 - 160 = 0?
-4, -1, 1/3, 24
Suppose 2*s**2 - 1264*s + 199712 = 0. Calculate s.
316
Factor 2*y**2 - 340*y + 14450.
2*(y - 85)**2
Let -m**4/7 + 435*m**3/7 = 0. Calculate m.
0, 435
Factor -2*i**2/21 + 1016*i/21 - 2024/21.
-2*(i - 506)*(i - 2)/21
Let -30*i**2 + 1405*i/2 - 575/2 = 0. What is i?
5/12, 23
Factor 2*h**3/5 - 2*h**2/5 - 26*h + 90.
2*(h - 5)**2*(h + 9)/5
Solve g**3/5 - 8*g**2/5 - 12*g/5 + 144/5 = 0 for g.
-4, 6
Find c such that -4*c**3 - 640*c**2 - 23572*c + 165336 = 0.
-83, 6
Solve 3*t**3 - 132*t**2 = 0 for t.
0, 44
What is n in 2*n**3 - 632*n**2 + 50554*n - 98596 = 0?
2, 157
Factor -a**2 + 17*a.
-a*(a - 17)
Suppose -d**3/2 - d**2 + 57*d/2 - 27 = 0. Calculate d.
-9, 1, 6
Find r such that 4*r**2/5 - 1928*r/5 + 232324/5 = 0.
241
Let 3*t**2 + 42*t = 0. Calculate t.
-14, 0
Factor a**4/3 + 11*a**3/3 + 3*a**2 - 11*a/3 - 10/3.
(a - 1)*(a + 1)**2*(a + 10)/3
Factor 4*c**2 - 36.
4*(c - 3)*(c + 3)
Find w such that -3*w**2/4 - 495*w/2 - 81675/4 = 0.
-165
Find l such that l**2/5 - 762*l/5 - 763/5 = 0.
-1, 763
Factor k**3 - 2*k**2 - 5*k + 6.
(k - 3)*(k - 1)*(k + 2)
Factor 3*q**3/5 - 1584*q**2/5 + 42444*q - 823728/5.
3*(q - 262)**2*(q - 4)/5
Find u, given that -1365