-10*q**3 + 116*q**2 + 54*q - 72.
-2*(q - 12)*(q + 1)*(5*q - 3)
Factor 2*y**3/5 + 58*y**2/5 + 544*y/5 + 1664/5.
2*(y + 8)**2*(y + 13)/5
Factor -45*c**5 + 170*c**4 - 230*c**3 + 120*c**2 - 5*c - 10.
-5*(c - 1)**4*(9*c + 2)
Suppose z**5/10 - 9*z**4/10 + 3*z**3 - 22*z**2/5 + 12*z/5 = 0. What is z?
0, 2, 3
Factor 2*i**2 - 84*i - 176.
2*(i - 44)*(i + 2)
Factor -5*c**3/2 - 405*c**2/4 - 1050*c - 500.
-5*(c + 20)**2*(2*c + 1)/4
Find d, given that 4*d**2 + 180*d + 176 = 0.
-44, -1
Factor 3*t**3 + 297*t**2 + 870*t + 576.
3*(t + 1)*(t + 2)*(t + 96)
Factor -2*q**3/3 + 64*q**2 - 2048*q + 65536/3.
-2*(q - 32)**3/3
Find p such that 7*p**5 + 107*p**4 + 352*p**3 - 580*p**2 - 1088*p - 256 = 0.
-8, -1, -2/7, 2
Factor -2*m**4/3 - 16*m**3/3 - 32*m**2/3.
-2*m**2*(m + 4)**2/3
Let -4*q**5/5 - 72*q**4/5 - 248*q**3/5 - 352*q**2/5 - 228*q/5 - 56/5 = 0. Calculate q.
-14, -1
Solve 4*p**4 - 12*p**3 - 3060*p**2 - 29700*p = 0.
-15, 0, 33
Factor 5*m**2 + 215*m + 2250.
5*(m + 18)*(m + 25)
Factor b**4/2 - b**2 + 1/2.
(b - 1)**2*(b + 1)**2/2
Find f such that 5*f**2 + 5015*f + 5010 = 0.
-1002, -1
Factor -3*z**3/2 - 48*z**2 - 903*z/2 - 1323.
-3*(z + 7)**2*(z + 18)/2
Factor -3*s**4 + 270*s**3 + 549*s**2 + 276*s.
-3*s*(s - 92)*(s + 1)**2
Factor -3*z**4 + 108*z**3 - 1440*z**2 + 8400*z - 18000.
-3*(z - 10)**3*(z - 6)
Factor -4*m**3 + 204*m**2 - 3468*m + 19652.
-4*(m - 17)**3
Solve -2*u**5/3 - 34*u**4/3 - 68*u**3 - 464*u**2/3 - 64*u/3 + 256 = 0 for u.
-6, -4, 1
Let 5*a**4/4 - 20*a**3 + 135*a**2/4 + 20*a - 35 = 0. Calculate a.
-1, 1, 2, 14
Factor 2*h**3/5 + 58*h**2/5 + 64*h - 1536/5.
2*(h - 3)*(h + 16)**2/5
Solve w**5 + w**4 - 577*w**3 + 575*w**2 = 0.
-25, 0, 1, 23
Find g, given that -25*g**4 - 85*g**3 + 85*g**2 + 85*g - 60 = 0.
-4, -1, 3/5, 1
Suppose -2*c**3 - 8*c**2 + 120*c + 576 = 0. Calculate c.
-6, 8
What is w in w**4 - 22*w**3 + 93*w**2 - 140*w + 68 = 0?
1, 2, 17
Factor -x**3 + 10*x**2 + 175*x + 500.
-(x - 20)*(x + 5)**2
Factor 28*m**4 - 244*m**3 + 600*m**2 - 256*m - 128.
4*(m - 4)**2*(m - 1)*(7*m + 2)
Factor -5*r**2/4 + 5*r/4 + 15.
-5*(r - 4)*(r + 3)/4
Determine p so that -5*p**5 - 130*p**4 + 1540*p**3 - 1270*p**2 - 1535*p + 1400 = 0.
-35, -1, 1, 8
Let 4*f**2/7 - 620*f/7 - 1256/7 = 0. What is f?
-2, 157
Factor -c**3/8 - 25*c**2/8 - 17*c/2 - 11/2.
-(c + 1)*(c + 2)*(c + 22)/8
Solve -4*p**5/3 - 8*p**4/3 + 4*p**3 + 16*p**2/3 - 16*p/3 = 0.
-2, 0, 1
Factor -4*u**5 + 152*u**4 - 1092*u**3 - 7056*u**2.
-4*u**2*(u - 21)**2*(u + 4)
Solve -13122*h**3 - 13446*h**2 - 326*h - 2 = 0.
-1, -1/81
Determine u so that 5*u**5 + 40*u**4 + 120*u**3 + 170*u**2 + 115*u + 30 = 0.
-3, -2, -1
Factor -2*x**2/3 - 1180*x/21 - 16.
-2*(x + 84)*(7*x + 2)/21
Factor -3*h**2 + 81*h.
-3*h*(h - 27)
Let -98*i**4/13 + 2786*i**3/13 + 1616*i**2/13 + 232*i/13 = 0. What is i?
-2/7, 0, 29
Find m, given that m**2 - 50*m + 96 = 0.
2, 48
Find b, given that b**3 - 54*b**2 + 672*b + 1568 = 0.
-2, 28
Determine g so that -3*g**4/5 + 51*g**3/5 + 936*g**2/5 + 3132*g/5 = 0.
-6, 0, 29
Let -a**5/3 - 5*a**4/3 + 47*a**3/3 - 13*a**2 - 30*a = 0. What is a?
-10, -1, 0, 3
Solve -4*f**4 + 8*f**3 + 124*f**2 - 368*f + 240 = 0 for f.
-6, 1, 2, 5
Let 10*z**4 + 24*z**3 - 2*z**2 - 24*z - 8 = 0. Calculate z.
-2, -1, -2/5, 1
Solve x**2 + 22*x - 75 = 0 for x.
-25, 3
Factor 3*a**3/8 - 3*a**2/8 - 1155*a/8 - 8349/8.
3*(a - 23)*(a + 11)**2/8
Find y, given that -2*y**2/23 + 42*y/23 + 44/23 = 0.
-1, 22
Find c, given that -2*c**4/9 - 52*c**3/9 + 170*c**2/9 - 116*c/9 = 0.
-29, 0, 1, 2
Solve -3*x**2 + 9858*x - 8098347 = 0.
1643
Determine v, given that 3*v**3 + 195*v**2 + 3069*v - 3267 = 0.
-33, 1
Solve -2*a**2 - 6536*a - 5339912 = 0 for a.
-1634
Determine x, given that -3*x**2 + 42*x + 153 = 0.
-3, 17
Factor -k**3 + 176*k**2 + 725*k - 900.
-(k - 180)*(k - 1)*(k + 5)
Find k, given that -3*k**4 + 3*k**3 + 9*k**2 - 3*k - 6 = 0.
-1, 1, 2
Factor 21*m**3/8 - 141*m**2/8 + 105*m/4 + 9.
3*(m - 4)*(m - 3)*(7*m + 2)/8
Factor -z**5/6 - 13*z**4/6 - 11*z**3/3.
-z**3*(z + 2)*(z + 11)/6
Suppose -w**5/2 - 2*w**4 + 15*w**3/2 + 9*w**2 = 0. Calculate w.
-6, -1, 0, 3
Suppose 3*l**4 - 21*l**3 + 30*l**2 = 0. What is l?
0, 2, 5
Factor -5*s**3 - 31590*s**2 - 66528540*s - 46703035080.
-5*(s + 2106)**3
Factor l**3/3 + 8*l**2 + 48*l.
l*(l + 12)**2/3
Solve -2*y**2/11 + 944*y - 1225312 = 0 for y.
2596
Factor -28*r**3 - 232*r**2 - 64*r.
-4*r*(r + 8)*(7*r + 2)
Factor 3*a**3 + 462*a**2 + 16320*a - 115200.
3*(a - 6)*(a + 80)**2
Let -3*q**4/4 - 9*q**3/4 + 45*q**2/4 - 51*q/4 + 9/2 = 0. Calculate q.
-6, 1
Factor -2*q**3/7 + 80*q**2/7 - 986*q/7 + 3468/7.
-2*(q - 17)**2*(q - 6)/7
Factor 5*h**3 - 180*h**2 - 2745*h - 6480.
5*(h - 48)*(h + 3)*(h + 9)
Solve 5*t**2 + 27*t/2 - 9/2 = 0.
-3, 3/10
Find s such that 2*s**2/3 + 134*s/3 - 92 = 0.
-69, 2
Determine p so that 3*p**2/5 - 552*p/5 - 111 = 0.
-1, 185
Find z, given that -3*z**3/5 - 378*z**2/5 - 744*z/5 = 0.
-124, -2, 0
Factor -j**4/3 + 5*j**3/3 - 3*j**2 + 7*j/3 - 2/3.
-(j - 2)*(j - 1)**3/3
Factor 2*b**3/13 - 362*b**2/13 - 730*b/13 - 366/13.
2*(b - 183)*(b + 1)**2/13
Let -a**5/4 - 25*a**4/4 - 26*a**3 - 20*a**2 = 0. Calculate a.
-20, -4, -1, 0
Find b, given that 4*b**4 - 122*b**3 - 21759*b**2/4 + 5485*b/2 - 1375/4 = 0.
-25, 1/4, 55
Factor -5*f**5 - 315*f**4 - 1210*f**3 - 1790*f**2 - 1185*f - 295.
-5*(f + 1)**4*(f + 59)
Determine c, given that -c**2/4 - 27*c/4 = 0.
-27, 0
Find d such that 338*d**4/11 - 3172*d**3/11 + 582*d**2 + 4880*d/11 + 800/11 = 0.
-4/13, 5
Factor 147*w**5 + 273*w**4 + 153*w**3 + 27*w**2.
3*w**2*(w + 1)*(7*w + 3)**2
Determine d so that d**4 + 84*d**3 - 85*d**2 = 0.
-85, 0, 1
What is v in -25*v**2 + 535*v - 2520 = 0?
7, 72/5
Factor -5*h**4 + 20*h**3 + 5*h**2 - 20*h.
-5*h*(h - 4)*(h - 1)*(h + 1)
Factor k**5/2 + 33*k**4/2 - 105*k**3/2 + 107*k**2/2 - 18*k.
k*(k - 1)**3*(k + 36)/2
Solve 30*d**4 + 112*d**3 - 178*d**2 + 60*d = 0.
-5, 0, 3/5, 2/3
Determine s, given that -4*s**4 + 8*s**3 - 4*s**2 = 0.
0, 1
Determine a, given that 5*a**3 + 10*a**2 + 5*a = 0.
-1, 0
Determine o, given that -3*o**5 - 2271*o**4 - 424077*o**3 + 2159139*o**2 - 3474720*o + 1741932 = 0.
-381, 1, 2
Factor k**5/2 + 23*k**4/2 + 60*k**3 - 72*k**2.
k**2*(k - 1)*(k + 12)**2/2
Let h**4/7 + 3*h**3/7 = 0. What is h?
-3, 0
Factor -3*o**2 - 519*o - 7956.
-3*(o + 17)*(o + 156)
Suppose -5*p**3 + 3525*p**2 - 623040*p + 619520 = 0. Calculate p.
1, 352
Suppose -2*h**5 - 4*h**4 + 48*h**3 - 32*h**2 - 160*h + 192 = 0. Calculate h.
-6, -2, 2
Let g**3/5 + 112*g**2/5 - 227*g/5 + 114/5 = 0. What is g?
-114, 1
Suppose 3*n**2 - 33*n = 0. What is n?
0, 11
Let -4*f**3 - 16*f**2 + 156*f + 504 = 0. What is f?
-7, -3, 6
Factor -h**2 - 392*h - 38416.
-(h + 196)**2
Factor -o**3/4 - 5*o**2/2 + 277*o/4 + 143/2.
-(o - 13)*(o + 1)*(o + 22)/4
Factor 60*n**3 - 185*n**2 - 225*n + 20.
5*(n - 4)*(n + 1)*(12*n - 1)
Solve 2*k**5/17 + 44*k**4/17 + 210*k**3/17 = 0 for k.
-15, -7, 0
Suppose -3*m**2 + 213*m - 210 = 0. Calculate m.
1, 70
Factor 2*v**5/9 - 50*v**4/9 + 20*v**3 - 260*v**2/9 + 170*v/9 - 14/3.
2*(v - 21)*(v - 1)**4/9
Factor -5*x**4 - 5*x**3 + 50*x**2 - 40*x.
-5*x*(x - 2)*(x - 1)*(x + 4)
Find l such that 4*l**3/5 - 72*l**2/5 - 804*l/5 - 728/5 = 0.
-7, -1, 26
Factor c**3/7 + 365*c**2/7 + 29143*c/7 - 111747.
(c - 21)*(c + 193)**2/7
Find p such that -p**3/2 + 25*p**2/2 - 44*p + 42 = 0.
2, 21
Find y such that -5*y**5 - 45*y**4 - 85*y**3 + 45*y**2 + 90*y = 0.
-6, -3, -1, 0, 1
What is f in -2*f**3/9 - 26*f**2/9 - 20*f/9 + 16/3 = 0?
-12, -2, 1
Factor -2*z**4/3 + 1122*z**3 - 3362*z**2 + 10082*z/3 - 1120.
-2*(z - 1680)*(z - 1)**3/3
Solve -2*a**3/13 - 128*a**2/13 - 126*a/13 = 0 for a.
-63, -1, 0
Determine c so that 2*c**4/5 - 4*c**3/5 - 6*c**2/5 + 16*c/5 - 8/5 = 0.
-2, 1, 2
Let -212*m**5/5 + 10184*m**4/5 - 111896*m**3/5 - 250192*m**2/5 - 24580*m + 1000 = 0. Calculate m.
-1, 2/53, 25
Factor o**5 - o**4 - 7*o**3 + 13*o**2 - 6*o.
o*(o - 2)*(o - 1)**2*(o + 3)
Factor h**4/8 - 6*h**3.
h**3*(h - 48)/8
Solve 5*x**3 - 65*x**2 + 275*x - 375 = 0 for x.
3, 5
Factor 2*r**3 - 108*r**2 + 102*r + 212.
2*(r - 53)*(r - 2)*(r + 1)
Factor 5*q**5 - 15*q**4 - 30*q**3 + 130*q**2 - 135*q + 45.
5*(q - 3)*(q - 1)**3*(q + 3)
Find i such that 2*i**3/7 - 74*i**2/7 - 22*i - 78/7 = 0.
-1, 39
What is w in 4*w**4/3 + 464*w**3/9 + 748*w**2/9 + 296*w/9 = 0?
-37, -1, -2/3, 0
Suppose 2*a**4 + 26*a**3 + 20*a**2 - 48*a = 0. What is a?
-12, -2, 0, 1
Solv