p/3 = 0 for p.
-1, 0, 2
Solve 2*w**5/5 - 106*w**4/5 - 134*w**3/5 + 1402*w**2/5 + 132*w/5 - 1296/5 = 0 for w.
-4, -1, 1, 3, 54
Solve x**2 + 15*x = 0 for x.
-15, 0
Suppose -2*m**3/7 + 24*m**2/7 + 30*m/7 - 52/7 = 0. What is m?
-2, 1, 13
Solve 5*m**5 + 75*m**4 - 5*m**3 - 75*m**2 = 0 for m.
-15, -1, 0, 1
Suppose x**4/6 + 2*x**3 - 9*x**2/2 + 7*x/3 = 0. What is x?
-14, 0, 1
Factor -3*r**3 + 132*r**2 + 273*r + 138.
-3*(r - 46)*(r + 1)**2
Suppose 23*g**4/3 - 2*g**3/3 = 0. Calculate g.
0, 2/23
Suppose 80*i**5 + 956*i**4 + 3792*i**3 + 4928*i**2 - 256*i = 0. What is i?
-4, 0, 1/20
Factor -5*r**5 - 110*r**4 - 90*r**3 + 340*r**2 + 535*r + 210.
-5*(r - 2)*(r + 1)**3*(r + 21)
What is f in -f**4/3 + 13*f**3/3 - 23*f**2/3 + 11*f/3 = 0?
0, 1, 11
What is c in c**2 - 82*c + 1681 = 0?
41
Factor -2*k**4/9 - 2*k**3 + 14*k**2/3 - 22*k/9.
-2*k*(k - 1)**2*(k + 11)/9
Factor 5*u**4 - 10*u**3 - 20*u**2 + 10*u + 15.
5*(u - 3)*(u - 1)*(u + 1)**2
Suppose -4*q**4 + 420*q**3 - 10804*q**2 - 12084*q + 22472 = 0. What is q?
-2, 1, 53
Factor 35*j**2 + 65*j + 30.
5*(j + 1)*(7*j + 6)
Let v**4/4 - 17*v**3/4 + 93*v**2/4 - 207*v/4 + 81/2 = 0. What is v?
2, 3, 9
Determine z, given that -3*z**5 - 18*z**4 + 24*z**3 + 18*z**2 - 21*z = 0.
-7, -1, 0, 1
Factor -5*b**5/3 + 458*b**4/3 - 15686*b**3/3 + 236992*b**2/3 - 1301869*b/3 - 559682/3.
-(b - 23)**4*(5*b + 2)/3
Factor 2*s**5 - 184*s**4 + 5762*s**3 - 64980*s**2 + 113400*s - 54000.
2*(s - 30)**3*(s - 1)**2
Suppose -2*r**3 + 138*r**2 - 528*r + 520 = 0. What is r?
2, 65
What is d in 22*d**3 + 128*d**2/3 + 58*d/3 - 4/3 = 0?
-1, 2/33
Solve -5*k**2/6 + 155*k/6 - 145/3 = 0 for k.
2, 29
Find z such that -2*z**4/17 - 1860*z**3/17 - 576600*z**2/17 - 59582000*z/17 = 0.
-310, 0
Suppose 2*d**4 - 25*d**3 + 31*d**2 + 22*d = 0. Calculate d.
-1/2, 0, 2, 11
Solve l**5 + 14*l**4 + 43*l**3 + 26*l**2 - 44*l - 40 = 0 for l.
-10, -2, -1, 1
Factor 4*l**2 + 46*l + 60.
2*(l + 10)*(2*l + 3)
Solve -14*n**5/9 + 40*n**4/3 - 8*n**3 - 628*n**2/9 + 38*n + 28 = 0.
-2, -3/7, 1, 3, 7
Factor 2*z**2 - 28*z - 64.
2*(z - 16)*(z + 2)
Factor -k**2 - 292*k.
-k*(k + 292)
Factor -4*h**3 - 108*h**2 + 112*h.
-4*h*(h - 1)*(h + 28)
Solve -3*g**5 - 33*g**4 - 81*g**3 + 93*g**2 + 204*g - 180 = 0.
-6, -5, -2, 1
Determine q, given that -5*q**4 - 65*q**3 + 315*q**2 - 415*q + 170 = 0.
-17, 1, 2
Factor 2*a**3/17 + 110*a**2/17 - 116*a/17 - 224/17.
2*(a - 2)*(a + 1)*(a + 56)/17
Find c, given that 5*c**5 - 25*c**4 + 35*c**3 + 5*c**2 - 40*c + 20 = 0.
-1, 1, 2
What is n in 3*n**3 - 24*n**2/7 - 12*n + 96/7 = 0?
-2, 8/7, 2
Factor a**5/3 + 10*a**4/3 + 8*a**3/3 - 10*a**2/3 - 3*a.
a*(a - 1)*(a + 1)**2*(a + 9)/3
What is q in 5*q**4 - 10*q**3 - 135*q**2 + 540*q - 540 = 0?
-6, 2, 3
Factor l**2/10 - 93*l/10 + 27.
(l - 90)*(l - 3)/10
Suppose -v**4 + 1101*v**3 - 302499*v**2 - 303601*v = 0. Calculate v.
-1, 0, 551
Determine s so that s**3/6 + 133*s**2/6 - 269*s/6 + 45/2 = 0.
-135, 1
Factor -3*w**4/4 - 162*w**3 - 36855*w**2/4 - 99225*w/2.
-3*w*(w + 6)*(w + 105)**2/4
Factor 3*m**3/4 + 225*m**2/2 + 216*m - 888.
3*(m - 2)*(m + 4)*(m + 148)/4
Suppose -2*i**5/3 - 250*i**4/3 + 4*i**3/3 + 500*i**2/3 - 2*i/3 - 250/3 = 0. Calculate i.
-125, -1, 1
Suppose -i**2 + 1200*i = 0. Calculate i.
0, 1200
Suppose -2*w**4/3 + 4*w**3/3 - 2*w**2/3 = 0. Calculate w.
0, 1
Suppose -125*o**5 - 5400*o**4 + 21755*o**3 - 26530*o**2 + 12180*o - 1880 = 0. What is o?
-47, 2/5, 1, 2
Factor 2*z**3/9 - 26*z**2/9 + 32*z/9 + 128/3.
2*(z - 8)**2*(z + 3)/9
Let -2*u**3/3 + 4*u**2/3 + 14*u/3 + 8/3 = 0. What is u?
-1, 4
What is m in 3*m**2/2 - 543*m/2 - 273 = 0?
-1, 182
Find n, given that 10*n**5/13 - 196*n**4/13 - 3490*n**3/13 - 1364*n**2/13 = 0.
-11, -2/5, 0, 31
Factor 4*z**3 + 52*z**2 + 200*z + 224.
4*(z + 2)*(z + 4)*(z + 7)
Factor 45*v**3 + 1540*v**2 + 1825*v + 330.
5*(v + 1)*(v + 33)*(9*v + 2)
Factor p**3/2 + 1899*p**2 + 2404134*p + 1014544548.
(p + 1266)**3/2
Solve 2*x**2/5 + 64*x + 2560 = 0 for x.
-80
Find o, given that -4*o**2/5 - 216*o/5 - 416/5 = 0.
-52, -2
Suppose u**5/2 = 0. What is u?
0
Factor 5*h**3/4 - 2765*h**2/4 + 5515*h/4 - 2755/4.
5*(h - 551)*(h - 1)**2/4
Find x such that x**3/2 - 1047*x**2 + 730806*x - 170034196 = 0.
698
Find c, given that -5*c**4/3 + 32*c**3/3 + 143*c**2/3 - 662*c/3 + 80 = 0.
-5, 2/5, 3, 8
Factor 3*j**2/5 - 48*j/5 + 117/5.
3*(j - 13)*(j - 3)/5
Determine s so that s**5 - 21*s**4 - 27*s**3 + 517*s**2 + 1026*s + 504 = 0.
-4, -1, 6, 21
Find a, given that -2*a**3 + 4*a**2 + 10*a - 12 = 0.
-2, 1, 3
Determine c, given that 2*c**5 - 18*c**4 + 54*c**3 - 46*c**2 - 48*c + 72 = 0.
-1, 2, 3
Suppose -2*u**4/7 - 348*u**3/7 - 20184*u**2/7 - 390224*u/7 = 0. What is u?
-58, 0
Solve -2*u**4/7 + 62*u**3/7 - 118*u**2/7 + 58*u/7 = 0 for u.
0, 1, 29
Factor 538*j**2/5 - 6*j/5.
2*j*(269*j - 3)/5
Factor w**3 - 2*w**2 - 19*w + 20.
(w - 5)*(w - 1)*(w + 4)
Factor -2*b**4/5 + 8*b**3/5 + 22*b**2/5 + 12*b/5.
-2*b*(b - 6)*(b + 1)**2/5
Determine p so that 37*p**5 + 76*p**4 - 773*p**3 + 624*p**2 + 36*p = 0.
-6, -2/37, 0, 1, 3
Suppose i**3/8 - 25*i**2/8 = 0. What is i?
0, 25
Factor -10*z**3/7 + 26*z**2/7 + 16*z/7 - 8.
-2*(z - 2)**2*(5*z + 7)/7
Factor -n**4/3 + 7*n**2 + 20*n/3.
-n*(n - 5)*(n + 1)*(n + 4)/3
Factor -5*p**4/4 - 6290*p**3 - 11869230*p**2 - 9954327560*p - 3130636017620.
-5*(p + 1258)**4/4
Suppose 20*t**5/7 + 852*t**4/7 + 9316*t**3/7 + 708*t**2 - 504*t = 0. Calculate t.
-21, -1, 0, 2/5
Determine x so that -2*x**3 + 492*x**2 = 0.
0, 246
Factor -8*i**4/3 - 31*i**3/3 - 28*i**2/3 + 4*i/3.
-i*(i + 2)**2*(8*i - 1)/3
Suppose 9*v**2/5 + 101*v/5 + 22/5 = 0. What is v?
-11, -2/9
Let 3*x**2/8 - 3*x + 45/8 = 0. Calculate x.
3, 5
Find t such that 2*t**3 - 74*t**2 + 720*t - 648 = 0.
1, 18
Suppose -x**5 - x**4 + 21*x**3 - 11*x**2 - 68*x + 60 = 0. What is x?
-5, -2, 1, 2, 3
Suppose -2*h**5/7 + 2*h**4/7 + 8*h**3/7 - 8*h**2/7 = 0. What is h?
-2, 0, 1, 2
Let -2*b**3/13 + 218*b**2/13 - 640*b/13 + 424/13 = 0. Calculate b.
1, 2, 106
Factor 4*d**3/3 + 32*d**2/3 - 284*d/3 - 104.
4*(d - 6)*(d + 1)*(d + 13)/3
Factor -2*z**4/17 - 2*z**3/17.
-2*z**3*(z + 1)/17
Factor x**2/11 - 36*x/11 + 68/11.
(x - 34)*(x - 2)/11
Suppose -5*f**4 - 125*f**3 - 1035*f**2 - 2835*f = 0. Calculate f.
-9, -7, 0
Determine u so that u**5/8 + u**4/4 - 15*u**3/8 + u**2/2 + 5*u/2 = 0.
-5, -1, 0, 2
Factor -157*t**3/2 - 303*t**2/2 - 135*t/2 + 11/2.
-(t + 1)**2*(157*t - 11)/2
Determine u so that -5*u**2 - 145*u + 150 = 0.
-30, 1
Factor -25*w**4 + 20*w**3 + 396*w**2 - 320*w + 64.
-(w - 4)*(w + 4)*(5*w - 2)**2
Factor q**5 + 9*q**4 + 30*q**3 + 46*q**2 + 33*q + 9.
(q + 1)**3*(q + 3)**2
Find q, given that 250*q**5 + 375*q**4 - 365*q**3 - 240*q**2 - 20*q = 0.
-2, -2/5, -1/10, 0, 1
Suppose -r**2/6 - 113*r/3 - 12769/6 = 0. What is r?
-113
Solve 4*h**3/3 + 2*h**2 - 26*h - 40/3 = 0 for h.
-5, -1/2, 4
Find o such that 5*o**5 + 45*o**4 + 70*o**3 = 0.
-7, -2, 0
Factor -5*t**5/2 - 95*t**4/2 - 160*t**3 - 150*t**2.
-5*t**2*(t + 2)**2*(t + 15)/2
Factor w**2/9 + 3533*w/9 - 1178/3.
(w - 1)*(w + 3534)/9
Let x**5/3 + 4*x**4/9 - 20*x**3/9 - 10*x**2/9 + 17*x/9 + 2/3 = 0. Calculate x.
-3, -1, -1/3, 1, 2
Suppose -k**3 - 20*k**2 - 128*k - 256 = 0. Calculate k.
-8, -4
Determine q, given that -2*q**3 + 2222*q**2 + 2*q - 2222 = 0.
-1, 1, 1111
Factor x**2 + 16*x + 64.
(x + 8)**2
Find n such that 392*n**2 + 504*n + 162 = 0.
-9/14
Factor w**4 + 89*w**3 + 2109*w**2 + 5719*w + 3698.
(w + 1)*(w + 2)*(w + 43)**2
Factor 18*z**3 - 112*z**2 + 24*z.
2*z*(z - 6)*(9*z - 2)
Let c**2 - 8028*c + 16112196 = 0. What is c?
4014
Factor q**2/12 + 14*q/3 + 85/4.
(q + 5)*(q + 51)/12
Factor -g**4 - 18*g**3 - 72*g**2 - 94*g - 39.
-(g + 1)**2*(g + 3)*(g + 13)
Let -s**5 - 4*s**4 + 47*s**3 - 118*s**2 + 116*s - 40 = 0. Calculate s.
-10, 1, 2
Factor k**4/3 + 5536*k**3/3 + 2555786*k**2 + 15318112*k/3 + 7656289/3.
(k + 1)**2*(k + 2767)**2/3
Suppose -2*s**4 - 182*s**3 + 204*s**2 + 1856*s + 1472 = 0. What is s?
-92, -2, -1, 4
Factor n**4/2 - 3*n**3 + 5*n**2/2 + 6*n.
n*(n - 4)*(n - 3)*(n + 1)/2
Factor -3*g**2/2 - 24*g - 96.
-3*(g + 8)**2/2
What is i in -12*i**4 - 8*i**3 + 2304*i**2 - 10752*i - 8192 = 0?
-16, -2/3, 8
Factor 5*f**4 + 105*f**3 + 100*f**2.
5*f**2*(f + 1)*(f + 20)
Solve 2*n**5 + 22*n**4 + 20*n**3 = 0 for n.
-10, -1, 0
Suppose 4*f**2 + 44*f = 0. What is f?
-11, 0
Factor -l**5/11 - 2*l**4/11 + 9*l**3/11 + 2*l**2 - 4*l/11 - 24/11.
-(l - 3)*(l - 1)*(l + 2