se -25*k**3/3 + 4570*k**2/3 - 3644*k/3 + 728/3 = 0. What is k?
2/5, 182
Factor 4*v**2/7 - 440*v/7 + 12100/7.
4*(v - 55)**2/7
Let 2*y**4/17 + 216*y**3/17 + 6044*y**2/17 + 11448*y/17 + 5618/17 = 0. Calculate y.
-53, -1
Suppose g**5 - 17*g**4 + 80*g**3 - 64*g**2 = 0. Calculate g.
0, 1, 8
Factor -10*p**3 - 26*p**2 - 8*p + 8.
-2*(p + 1)*(p + 2)*(5*p - 2)
Solve -p**3/2 + 355*p**2/2 - 177*p = 0.
0, 1, 354
Factor -2*q**5/3 + 8*q**4/3 + 32*q**3/3 - 128*q**2/3.
-2*q**2*(q - 4)**2*(q + 4)/3
Factor -2*g**2/13 - 9050*g/13 - 696.
-2*(g + 1)*(g + 4524)/13
Factor z**3/7 - 13*z**2/7 + 32*z/7 - 20/7.
(z - 10)*(z - 2)*(z - 1)/7
Determine m, given that 2*m**4/7 - 100*m**3/7 + 194*m**2/7 - 96*m/7 = 0.
0, 1, 48
Determine h so that 2*h**3/5 + 12*h**2 - 1344*h/5 + 5888/5 = 0.
-46, 8
Let -k**3/3 - k**2 + 4*k/3 = 0. Calculate k.
-4, 0, 1
Factor -114*i**2 - 321*i + 63.
-3*(i + 3)*(38*i - 7)
Suppose 30*v**3/7 + 62*v**2/7 - 86*v/7 - 6/7 = 0. Calculate v.
-3, -1/15, 1
Let 2*j**4/3 + 8*j**3 + 12*j**2 - 280*j/3 - 98 = 0. What is j?
-7, -1, 3
Let 4*q**3 - 100*q**2 = 0. What is q?
0, 25
Solve -4*w**4 - 30*w**3 - 46*w**2 + 48*w + 32 = 0 for w.
-4, -1/2, 1
Factor b**5 + 2*b**4 - 11*b**3 - 8*b**2 + 20*b + 16.
(b - 2)**2*(b + 1)**2*(b + 4)
Determine i, given that 3*i**3/7 - 93*i**2 - 8136*i/7 - 24732/7 = 0.
-6, 229
What is p in -p**2/6 - 223*p/6 + 454/3 = 0?
-227, 4
Let 2*p**5/3 - 62*p**4/9 + 62*p**3/9 + 94*p**2/9 - 4*p = 0. What is p?
-1, 0, 1/3, 2, 9
Factor h**4/6 + 2*h**3 + 43*h**2/6 + 4*h - 40/3.
(h - 1)*(h + 4)**2*(h + 5)/6
Factor -5*v**2 + 4160*v + 4165.
-5*(v - 833)*(v + 1)
Factor -4*d**4 - 52*d**3 + 12*d**2 + 164*d + 104.
-4*(d - 2)*(d + 1)**2*(d + 13)
Find a such that -32*a**5 - 1514*a**4/3 + 431*a**3/3 + 409*a**2 - 590*a/3 + 32/3 = 0.
-16, -1, 1/16, 1/2, 2/3
Factor -q**4 - 7*q**3 - 18*q**2 - 20*q - 8.
-(q + 1)*(q + 2)**3
Determine n so that -4*n**4/3 + 28*n**3/3 - 16*n**2/3 - 16*n = 0.
-1, 0, 2, 6
Factor -36*g**2 - 152*g - 32.
-4*(g + 4)*(9*g + 2)
Factor -4*h**3 + 12*h**2 + 240*h + 400.
-4*(h - 10)*(h + 2)*(h + 5)
Solve -3*y**5 - 48*y**4 - 228*y**3 - 138*y**2 + 1095*y + 1050 = 0 for y.
-7, -5, -1, 2
Determine s so that 5*s**3 + 1860*s**2 + 174825*s + 342250 = 0.
-185, -2
Let 10*n**4/17 - 16*n**3/17 - 8*n**2/17 = 0. Calculate n.
-2/5, 0, 2
What is t in -2*t**5/15 + 16*t**4/15 - 44*t**3/15 + 16*t**2/5 - 6*t/5 = 0?
0, 1, 3
Factor -34*x**2/13 - 330*x/13 - 216/13.
-2*(x + 9)*(17*x + 12)/13
Suppose q**3 - 6*q**2 + 32 = 0. Calculate q.
-2, 4
Solve -4*n**4 + 36*n**3 - 116*n**2 + 156*n - 72 = 0 for n.
1, 2, 3
Factor -4*x**3/3 + 32*x**2 + 148*x/3 - 400.
-4*(x - 25)*(x - 3)*(x + 4)/3
Find n, given that 3*n**5/2 - 6*n**4 - 12*n**3 + 15*n**2 + 69*n/2 + 15 = 0.
-1, 2, 5
Solve -5*i**3 - 95*i**2 - 520*i - 880 = 0.
-11, -4
Suppose 9*n**2/2 + 17*n/2 - 13 = 0. What is n?
-26/9, 1
Factor -2*z**2 + 56*z - 392.
-2*(z - 14)**2
Factor -3*w**2 - 444*w + 900.
-3*(w - 2)*(w + 150)
Factor -45*r**2 + 3760*r + 1680.
-5*(r - 84)*(9*r + 4)
Determine p so that -2*p**2 - 128*p - 990 = 0.
-55, -9
Determine r so that 2*r**4 - 18*r**3 + 42*r**2 - 38*r + 12 = 0.
1, 6
What is s in 42*s**4 + 14156*s**3 + 44360*s**2/3 + 2672*s/3 - 1792 = 0?
-336, -2/3, 2/7
Solve -2*y**4/5 - 66*y**3/5 - 8*y**2 + 768*y/5 = 0 for y.
-32, -4, 0, 3
Factor b**3 + 133*b**2 + 262*b.
b*(b + 2)*(b + 131)
Suppose 15*l**4 - 155*l**3 + 490*l**2 - 320*l - 480 = 0. What is l?
-2/3, 3, 4
Determine k so that -3*k**2/5 + 36*k - 177/5 = 0.
1, 59
Let -75*d**4 + 25830*d**3 + 15552*d**2 - 9318*d + 1035 = 0. Calculate d.
-1, 1/5, 345
Suppose 5*v**5/3 + 15*v**4/2 + 65*v**3/6 + 25*v**2/6 - 5*v/2 - 5/3 = 0. Calculate v.
-2, -1, 1/2
Factor 2*p**3/3 - 80*p**2/3 + 800*p/3.
2*p*(p - 20)**2/3
Find p, given that 3*p**5 - 18*p**4 - 51*p**3 + 18*p**2 + 48*p = 0.
-2, -1, 0, 1, 8
Factor 5*r**3 + 20*r**2 + 15*r.
5*r*(r + 1)*(r + 3)
Factor -4*h**3/5 + 16*h**2/5 - 4*h/5 - 24/5.
-4*(h - 3)*(h - 2)*(h + 1)/5
Let 2*f**4/7 - 50*f**3/7 - 834*f**2/7 + 20378*f/7 + 21160/7 = 0. Calculate f.
-20, -1, 23
Factor 2*x**4 + 80*x**3 + 226*x**2 + 148*x.
2*x*(x + 1)*(x + 2)*(x + 37)
Suppose -40*b**2 - 964*b - 96 = 0. Calculate b.
-24, -1/10
Suppose -4*c**2 + 3292*c - 9840 = 0. What is c?
3, 820
Factor 4*c**3/5 - 4*c**2/5 + c/5.
c*(2*c - 1)**2/5
Find p such that 3*p**3 - 6*p**2 - 465*p - 1800 = 0.
-8, -5, 15
Factor q**4/6 - 212*q**3/3 - 569*q**2/2 - 1069*q/3 - 428/3.
(q - 428)*(q + 1)**2*(q + 2)/6
Factor 4*r**4/7 - 8*r**3 + 52*r**2/7.
4*r**2*(r - 13)*(r - 1)/7
Factor -2*d**2 + 22*d + 52.
-2*(d - 13)*(d + 2)
Let -15*u**5 + 231*u**4 + 690*u**3 + 228*u**2 - 216*u = 0. What is u?
-2, -1, 0, 2/5, 18
Factor -2*f**5/13 + 4*f**4/13 + 4*f**3/13 - 16*f**2/13 + 14*f/13 - 4/13.
-2*(f - 1)**4*(f + 2)/13
Factor 3*v**4 + 9*v**3 - 3*v**2 - 9*v.
3*v*(v - 1)*(v + 1)*(v + 3)
Suppose -4*n**5/9 - 992*n**4/9 + 8*n**3/9 + 1984*n**2/9 - 4*n/9 - 992/9 = 0. Calculate n.
-248, -1, 1
Solve 7*c**3/5 - 114*c**2/5 + 228*c/5 - 56/5 = 0.
2/7, 2, 14
Factor -3*d**2 - 27*d - 54.
-3*(d + 3)*(d + 6)
Determine v, given that -15*v**5/8 + 57*v**4/4 + 87*v**3/2 + 15*v**2 = 0.
-2, -2/5, 0, 10
Factor 4*d**2 - 172*d + 328.
4*(d - 41)*(d - 2)
Factor m**2 + 25*m - 1104.
(m - 23)*(m + 48)
Suppose 2*n**2 - 36*n - 38 = 0. Calculate n.
-1, 19
Factor 2*z**2/3 - 8*z/3 - 10/3.
2*(z - 5)*(z + 1)/3
Factor z**3/6 + 8*z**2/3 + 65*z/6 + 25/3.
(z + 1)*(z + 5)*(z + 10)/6
Factor 177241*c**3/2 + 842*c**2 + 2*c.
c*(421*c + 2)**2/2
Factor 2*j**5/9 - 14*j**4/9 + 32*j**3/9 - 8*j**2/3.
2*j**2*(j - 3)*(j - 2)**2/9
Solve -3*g**5 + 9*g**4 - 3*g**3 - 9*g**2 + 6*g = 0 for g.
-1, 0, 1, 2
Determine q so that 21*q**2 + 249*q - 1770 = 0.
-118/7, 5
Suppose -w**3/5 - 21*w**2/5 + w/5 + 21/5 = 0. What is w?
-21, -1, 1
Determine c so that -c**3/2 + 203*c**2/2 - 9991*c/2 - 31827/2 = 0.
-3, 103
Solve -3*u**2 + 636*u - 33708 = 0.
106
Factor 4*r**3/9 + 80*r**2/3 + 1564*r/3 + 29624/9.
4*(r + 14)*(r + 23)**2/9
Determine n so that 36*n**5 - 12*n**4/7 - 164*n**3/7 - 68*n**2/7 - 8*n/7 = 0.
-1/3, -2/7, 0, 1
Let b**5 + 137*b**4 + 3872*b**3 - 56648*b**2 + 136752*b + 197136 = 0. Calculate b.
-74, -1, 6
Let 2*w**2/11 + 70*w/11 + 68/11 = 0. Calculate w.
-34, -1
Factor -2*q**4 - 7300*q**3 - 6661250*q**2.
-2*q**2*(q + 1825)**2
What is u in -9*u**5/7 + 24*u**4/7 + 36*u**3/7 - 90*u**2/7 + 3*u + 18/7 = 0?
-2, -1/3, 1, 3
What is m in m**2/2 + 323*m/2 - 162 = 0?
-324, 1
Factor 10*w**4 - 6*w**3 - 54*w**2 - 50*w - 12.
2*(w - 3)*(w + 1)**2*(5*w + 2)
Find w, given that -2*w**3/5 - 12*w**2/5 - 18*w/5 = 0.
-3, 0
Factor -2*w**2/5 + 6*w.
-2*w*(w - 15)/5
Suppose -4*x**5/7 + 36*x**4/7 - 120*x**3/7 + 184*x**2/7 - 132*x/7 + 36/7 = 0. Calculate x.
1, 3
What is x in 6*x**5/7 + 4*x**4 - 50*x**3/7 - 8*x**2/7 + 24*x/7 = 0?
-6, -2/3, 0, 1
Suppose -z**2/6 + 29*z/6 - 30 = 0. What is z?
9, 20
Solve 3*v**4/5 + 72*v**3/5 + 69*v**2/5 = 0 for v.
-23, -1, 0
Factor -9*w**3/4 + 21*w**2/4 - 3*w/2.
-3*w*(w - 2)*(3*w - 1)/4
Find y, given that y**2 + 55*y = 0.
-55, 0
Factor 25*p**4 + 215*p**3 + 120*p**2.
5*p**2*(p + 8)*(5*p + 3)
Factor 4*z**2 - 128*z - 272.
4*(z - 34)*(z + 2)
Factor -5*c**3/2 - 795*c**2/2 + 805*c.
-5*c*(c - 2)*(c + 161)/2
What is h in -3*h**3 + 105*h**2 + 3*h - 105 = 0?
-1, 1, 35
Factor 3*j**3/2 + 160*j**2 + 211*j/2 - 53.
(j + 1)*(j + 106)*(3*j - 1)/2
Factor -77*q**2 - 40*q - 3.
-(7*q + 3)*(11*q + 1)
Let -b**4/4 - 25*b**3/4 - 23*b**2/4 + 25*b/4 + 6 = 0. Calculate b.
-24, -1, 1
Determine f, given that 4*f**2 + 40*f + 84 = 0.
-7, -3
Factor 2*w**3/3 + 4*w**2/3 - 26*w/3 + 20/3.
2*(w - 2)*(w - 1)*(w + 5)/3
Solve -3*f**2/2 - 282*f - 13254 = 0 for f.
-94
Suppose t**5/3 - t**4/3 - 8*t**3/3 + 4*t**2 = 0. What is t?
-3, 0, 2
Solve -3*b**3 + 159*b**2 = 0 for b.
0, 53
Let -3*t**4 - 8*t**3 + 29*t**2 + 58*t + 24 = 0. What is t?
-4, -1, -2/3, 3
Let -3*m**5 + 126*m**4 - 789*m**3 + 1950*m**2 - 2124*m + 840 = 0. What is m?
1, 2, 35
Find q, given that 12*q**3 - 2704*q**2/7 - 2260*q/7 + 528/7 = 0.
-1, 4/21, 33
Find z, given that 5*z**3 - 950*z**2 + 4655*z - 5550 = 0.
2, 3, 185
Determine c so that 21218*c**2 - 2884*c + 98 = 0.
7/103
Factor -t**4/7 - 33*t**3/7 + 108*t**2/7.
-t**2*(t - 3)*(t + 36)/7
Factor -k**2 - 41*k - 390.
-(k + 15)*(k + 26)
Factor 4*d**5 - 20*d**4 - 24*d**3.
4*d**3*(d - 6)*(d + 1)
Factor -3*h**2 + 369*h + 1524.
-3*(h - 127)*(h + 4)
Factor 2*w**4/7 - 18*w**3/7 - 6*w**2 - 22*w/7.
2*w*(w - 11)*(w + 1