552*t/3 + 401408 = 0.
-1/3, 1344
Factor -2*z**2/3 - 10*z + 68/3.
-2*(z - 2)*(z + 17)/3
Factor -5*l**3 - 410*l**2 - 1165*l + 1580.
-5*(l - 1)*(l + 4)*(l + 79)
Factor -u**2/4 + 271*u/4 - 135/2.
-(u - 270)*(u - 1)/4
Let -3*a**3 - 21*a**2 + 30*a + 48 = 0. What is a?
-8, -1, 2
Let -6*s**5 + 22*s**4 + 6*s**3 - 78*s**2 + 80*s - 24 = 0. What is s?
-2, 2/3, 1, 3
Determine n so that -n**4 + 2*n**3 + 7*n**2 - 20*n + 12 = 0.
-3, 1, 2
Factor -2*r**3 + 1092*r**2 - 198744*r + 12057136.
-2*(r - 182)**3
Determine x so that 14*x**5/15 + 22*x**4/5 + 22*x**3/15 - 46*x**2/5 + 12*x/5 = 0.
-3, 0, 2/7, 1
Solve 9*c**2/4 - 255*c - 171 = 0.
-2/3, 114
Factor -k**2/9 + 28*k/9 + 29/9.
-(k - 29)*(k + 1)/9
Solve -3*v**2 - 25032*v - 52216752 = 0 for v.
-4172
Factor 66*o**3 - 153*o**2 + 36*o + 12.
3*(o - 2)*(2*o - 1)*(11*o + 2)
Factor 2*n**3 + 12*n**2 - 30*n + 16.
2*(n - 1)**2*(n + 8)
Factor -2*y**2/7 - 46*y/7 + 156/7.
-2*(y - 3)*(y + 26)/7
Factor -3*d**2 + 537*d - 534.
-3*(d - 178)*(d - 1)
Suppose -d**4/5 - 6*d**3/5 + 24*d**2/5 + 224*d/5 + 384/5 = 0. Calculate d.
-4, 6
Let 4*p**4 + 372*p**3 + 4384*p**2 + 18240*p + 25600 = 0. Calculate p.
-80, -5, -4
Determine n so that -4*n**3/3 - 146*n**2 - 3808*n + 31360/3 = 0.
-56, 5/2
Determine p, given that 5*p**4 - 12*p**3 - 36*p**2 + 16*p = 0.
-2, 0, 2/5, 4
Factor -u**2 - 3216*u - 2585664.
-(u + 1608)**2
Factor 3*r**3 - 10*r**2 - 9*r + 4.
(r - 4)*(r + 1)*(3*r - 1)
What is n in -2*n**3/7 + 10*n**2 = 0?
0, 35
Let 2*n**2/9 + 224*n + 56448 = 0. Calculate n.
-504
Let -k**5/2 - 13*k**4/4 - 5*k**3/2 + 55*k**2/4 + 21*k/2 - 18 = 0. What is k?
-4, -3, -2, 1, 3/2
Determine i so that 2*i**2/7 - 92*i/7 - 192/7 = 0.
-2, 48
Factor b**2 - 26*b - 1127.
(b - 49)*(b + 23)
Factor -2*y**2/7 - 48*y/7 - 288/7.
-2*(y + 12)**2/7
Factor a**3/7 + 16*a**2/7 + 64*a/7.
a*(a + 8)**2/7
Suppose -192*s**3 + 2544*s**2 - 2955*s + 900 = 0. What is s?
5/8, 12
Factor r**3/2 + 609*r**2/2 + 123627*r/2 + 8365427/2.
(r + 203)**3/2
Find f such that -25*f**3 + 25*f**2 - 6*f = 0.
0, 2/5, 3/5
Find i, given that i**3/3 - 2*i**2 - 5*i - 8/3 = 0.
-1, 8
Factor -8626*u**3/21 - 5750*u**2/7 - 2874*u/7 + 2/21.
-2*(u + 1)**2*(4313*u - 1)/21
Factor -o**2/2 + 56*o - 1568.
-(o - 56)**2/2
Suppose -j**3/3 + 8*j**2/3 - 4*j = 0. What is j?
0, 2, 6
Solve 4*r**2 - 3488*r + 760384 = 0 for r.
436
Determine t, given that -5*t**2 + 630*t + 1280 = 0.
-2, 128
Factor -z**4 + 220*z**3 - 12318*z**2 + 23980*z - 11881.
-(z - 109)**2*(z - 1)**2
What is m in 168*m**5 - 436*m**4 + 208*m**3 - 16*m**2 = 0?
0, 2/21, 1/2, 2
Let 3*f**2 - 342*f + 9747 = 0. Calculate f.
57
Factor 34*k**2 - 174*k + 20.
2*(k - 5)*(17*k - 2)
Solve 2*o**3/9 - 104*o**2/9 + 298*o/9 - 196/9 = 0 for o.
1, 2, 49
Suppose 3*v**5/4 + 141*v**4/4 + 525*v**3/2 - 7725*v**2/2 - 1053*v/4 + 15309/4 = 0. Calculate v.
-27, -1, 1, 7
Suppose -5*g**4/4 + 85*g**3/4 - 80*g**2 + 60*g = 0. Calculate g.
0, 1, 4, 12
Find w such that 2*w**2/3 - 58*w/3 + 52 = 0.
3, 26
Factor -3*n**3/4 + 6*n**2 - 9*n.
-3*n*(n - 6)*(n - 2)/4
Determine o, given that -28*o**5 - 132*o**4 + 208*o**3 - 48*o**2 = 0.
-6, 0, 2/7, 1
What is b in -b**2/4 - 4*b - 15/4 = 0?
-15, -1
Find l, given that 5*l**4 + 55*l**3 + 80*l**2 - 420*l = 0.
-7, -6, 0, 2
Factor -5*o**3 + 70*o**2 - 160*o - 640.
-5*(o - 8)**2*(o + 2)
Solve 125*n**5 + 42600*n**4 + 3688645*n**3 + 10070750*n**2 + 6296940*n + 1142440 = 0 for n.
-169, -2, -2/5
Factor 2*i**4 - 100*i**3 + 264*i**2 + 836*i + 470.
2*(i - 47)*(i - 5)*(i + 1)**2
Suppose -3*k**2/5 + 189*k/5 - 108 = 0. Calculate k.
3, 60
Let -8*w**3 + 46*w**2 + 68*w + 14 = 0. What is w?
-1, -1/4, 7
Solve -2*m**5/11 + 54*m**4/11 + 126*m**3/11 - 278*m**2/11 - 348*m/11 = 0.
-3, -1, 0, 2, 29
Let -l**4/5 - l**3 - 9*l**2/5 - 7*l/5 - 2/5 = 0. What is l?
-2, -1
Find n, given that 3*n**2 + 522*n + 1032 = 0.
-172, -2
Factor -4*i**3 - 72*i**2 + 3456.
-4*(i - 6)*(i + 12)**2
Solve -169*d**2/2 - 156*d - 72 = 0.
-12/13
Factor 3*a**3/8 - 27*a**2/4 + 99*a/8 - 6.
3*(a - 16)*(a - 1)**2/8
Find w, given that -w**2/5 + 1228*w/5 - 376996/5 = 0.
614
Factor 2*s**2/5 - 8*s - 682/5.
2*(s - 31)*(s + 11)/5
Solve 25*c**5/4 - 155*c**4/4 - 561*c**3/4 - 593*c**2/4 - 62*c - 9 = 0 for c.
-1, -2/5, 9
Find d, given that -d**5/5 + 19*d**4/5 - 27*d**3 + 437*d**2/5 - 124*d + 60 = 0.
1, 2, 5, 6
Factor 7442*n**2/3 + 244*n/3 + 2/3.
2*(61*n + 1)**2/3
Let -3*a**3 + 432*a**2 - 15111*a - 31974 = 0. Calculate a.
-2, 73
What is w in -2*w**5/11 + 2*w**4/11 + 12*w**3 + 188*w**2/11 - 70*w + 450/11 = 0?
-5, 1, 9
Factor 20*d**2 - 192*d + 108.
4*(d - 9)*(5*d - 3)
Factor -b**3/3 - 11*b**2/3 + 184*b - 180.
-(b - 18)*(b - 1)*(b + 30)/3
Let k**3/2 - 9*k**2 + 29*k/2 + 24 = 0. Calculate k.
-1, 3, 16
Factor 2*r**3/9 + 2*r**2/3 - 2*r - 6.
2*(r - 3)*(r + 3)**2/9
Factor 2*i**3 - 132*i**2 + 378*i.
2*i*(i - 63)*(i - 3)
Factor -3*t**4 - 3*t**3 + 90*t**2 - 228*t + 168.
-3*(t - 2)**3*(t + 7)
Factor b**2/3 - b/3.
b*(b - 1)/3
Determine r, given that 2*r**3/5 + 2*r**2 + 4*r/5 - 16/5 = 0.
-4, -2, 1
Let 6*u**5/5 + 36*u**4/5 - 210*u**3 + 4176*u**2/5 - 4536*u/5 = 0. Calculate u.
-18, 0, 2, 3, 7
Factor -b**2/5 - 49*b/5 - 94/5.
-(b + 2)*(b + 47)/5
What is m in -m**4/2 + 25*m**3/2 - 89*m**2/2 + 107*m/2 - 21 = 0?
1, 2, 21
Factor c**2/8 + 2*c + 6.
(c + 4)*(c + 12)/8
Factor -m**4/2 - 15*m**3 - 28*m**2.
-m**2*(m + 2)*(m + 28)/2
Let 4*z**4/5 + 4*z**3/5 - 16*z**2/5 - 16*z/5 = 0. What is z?
-2, -1, 0, 2
Let g**5/3 - 8*g**4/3 + 25*g**3/3 - 38*g**2/3 + 28*g/3 - 8/3 = 0. What is g?
1, 2
Factor 2*m**2/7 + 1970*m/7 + 3932/7.
2*(m + 2)*(m + 983)/7
Find j such that -5*j**4 + 155*j**2 + 210*j - 360 = 0.
-4, -3, 1, 6
Solve -4*h**5 - 72*h**4 - 260*h**3 = 0.
-13, -5, 0
Solve -10*r**4 + 154*r**3 + 120*r**2 - 392*r + 128 = 0 for r.
-2, 2/5, 1, 16
Factor p**4/8 - p**3/4 - p**2 + 9*p/4 - 9/8.
(p - 3)*(p - 1)**2*(p + 3)/8
Solve -n**3/4 - 935*n**2/4 - 233*n + 467 = 0 for n.
-934, -2, 1
Factor -2*l**3 + 252*l**2 - 10584*l + 148176.
-2*(l - 42)**3
Factor -3*y**3/5 + 9*y**2/5 - 12/5.
-3*(y - 2)**2*(y + 1)/5
Factor q**2/6 - 17*q/3 + 11/2.
(q - 33)*(q - 1)/6
Determine y so that -2*y**3 + 2102*y**2 + 2*y - 2102 = 0.
-1, 1, 1051
Solve -4*b**4 + 380*b**2 - 1080*b + 704 = 0 for b.
-11, 1, 2, 8
Factor -5*i**2 - 113*i + 46.
-(i + 23)*(5*i - 2)
Determine w so that -4*w**2/5 + 12*w + 216/5 = 0.
-3, 18
Determine f, given that -4*f**2 - 676*f + 680 = 0.
-170, 1
Factor 4*n**3 + 392*n**2 - 396*n.
4*n*(n - 1)*(n + 99)
Factor 32*v**3 - 3412*v**2 - 1284*v.
4*v*(v - 107)*(8*v + 3)
Factor f**3 + 2251*f**2 - f - 2251.
(f - 1)*(f + 1)*(f + 2251)
Suppose j**5/4 - 5*j**4/4 - 23*j**3/4 + 189*j**2/4 - 189*j/2 + 54 = 0. Calculate j.
-6, 1, 3, 4
Suppose -784*t**4/5 + 364*t**3/5 + 348*t**2/5 + 68*t/5 + 4/5 = 0. Calculate t.
-1/4, -1/7, 1
Solve 4*c**3 + 124*c**2 + 696*c + 576 = 0 for c.
-24, -6, -1
Factor -48*n**2 + 116*n - 56.
-4*(3*n - 2)*(4*n - 7)
Factor 2*l**3/7 - 222*l**2/7 + 3256*l/7 - 5640/7.
2*(l - 94)*(l - 15)*(l - 2)/7
Determine v so that v**4/4 - 13*v**3/4 + 43*v**2/4 - 15*v/4 - 18 = 0.
-1, 3, 8
Find c such that -3*c**3/5 - 477*c**2/5 - 3744*c + 3840 = 0.
-80, 1
Determine o so that 2*o**3/13 + 22*o**2/13 - 2*o/13 - 22/13 = 0.
-11, -1, 1
Solve -2*q**2/9 + 160*q/9 - 3200/9 = 0.
40
Factor -6*p**4 + 22*p**3 - 10*p**2 - 6*p.
-2*p*(p - 3)*(p - 1)*(3*p + 1)
Factor 2*h**2/3 + 8*h/3 - 78.
2*(h - 9)*(h + 13)/3
Find g such that -4*g**4 + 20*g**3 + 184*g**2 - 512*g - 2688 = 0.
-4, 6, 7
Factor -7*t**2 + 296*t - 84.
-(t - 42)*(7*t - 2)
Factor 4*v**4 + 8920*v**3 + 4981812*v**2 + 9936880*v + 4963984.
4*(v + 1)**2*(v + 1114)**2
Factor -3*u**3/4 + 33*u**2/4 - 45*u/2.
-3*u*(u - 6)*(u - 5)/4
Factor 3*c**3 + 441*c**2 - 894*c.
3*c*(c - 2)*(c + 149)
What is l in -3*l**5/2 + 21*l**4/2 - 15*l**3/2 - 93*l**2/2 + 45*l = 0?
-2, 0, 1, 3, 5
Determine u, given that -2*u**2/3 + 140*u/3 - 2288/3 = 0.
26, 44
Factor o**2/4 - 43*o/4 - 147/2.
(o - 49)*(o + 6)/4
Factor -2*s**2/3 - 40*s.
-2*s*(s + 60)/3
Factor g**2 + 17*g + 16.
(g + 1)*(g + 16)
Factor 4*j**2 - 164*j - 528.
4*(j - 44)*(j + 3)
Let o**3/3 + 100*o**2/3 + 97*o/3 - 66 = 0. Calculate o.
-99, -2, 1
Factor -4*u**3 - 112*u**2 - 836*u - 728.
-4*(u + 1)*(u + 13)*(u + 14)
Factor -n**4/2 + 3*n**3/2 + n**2/2 - 3*n/2.
-n*(n - 3)*(n - 1)*(n + 1)/2
Factor a**2/2 + 51*a/2.
a*(a + 51)/2
Let -m**2/4 + 105*m/4 + 53/2 = 0. Calculate m.
-1, 106
Factor 45*d**3 + 210*d**2 + 125*d + 20.
5*(d + 4)*