
What is d in 5*d**5 - 210*d**4 + 2170*d**3 + 1440*d**2 - 14175*d - 13230 = 0?
-2, -1, 3, 21
Let -10*k**3/3 + 8*k**2 + 22*k/3 - 4 = 0. Calculate k.
-1, 2/5, 3
Determine j so that j**2 + 177*j = 0.
-177, 0
Suppose 3*i**2 - 3 = 0. What is i?
-1, 1
Let 3*o**2 + 66*o - 4437 = 0. What is o?
-51, 29
Suppose y**5/3 - 13*y**4/3 + 26*y**3/3 + 40*y**2/3 = 0. What is y?
-1, 0, 4, 10
Factor 3*w**4 - 3*w**3 - 30*w**2 - 24*w.
3*w*(w - 4)*(w + 1)*(w + 2)
Factor -30*z**3 - 12378*z**2 - 98736*z/5 - 39456/5.
-6*(z + 411)*(5*z + 4)**2/5
Factor -4*q**4 - 12*q**3 + 16*q.
-4*q*(q - 1)*(q + 2)**2
Find x, given that 2*x**4/9 - 2*x**2/3 - 4*x/9 = 0.
-1, 0, 2
Let -4*q**2 + 4 = 0. Calculate q.
-1, 1
Determine f so that -2*f**5/7 - 4*f**4 - 88*f**3/7 - 80*f**2/7 = 0.
-10, -2, 0
Solve 4*m**3/5 + 44*m**2/5 - 20*m + 52/5 = 0 for m.
-13, 1
Suppose 2*f**4/5 - 26*f**3/5 + 36*f**2/5 + 104*f/5 - 176/5 = 0. Calculate f.
-2, 2, 11
What is f in -3*f**4 + 1593*f**3 - 6339*f**2 + 7911*f - 3162 = 0?
1, 2, 527
Factor -2*u**2 - 64*u - 512.
-2*(u + 16)**2
Let -3*o**5 - 27*o**4 - 54*o**3 = 0. What is o?
-6, -3, 0
Solve -2*x**4/13 + 2*x**3/13 + 2*x**2/13 - 2*x/13 = 0.
-1, 0, 1
What is q in 2*q**3/11 + 20*q**2/11 - 48*q/11 = 0?
-12, 0, 2
Factor -b**2 + 19*b.
-b*(b - 19)
Factor 3*a**2/4 + 4659*a + 7235427.
3*(a + 3106)**2/4
Factor -t**3/3 + 17*t**2/3 + 20*t/3 - 12.
-(t - 18)*(t - 1)*(t + 2)/3
Factor 4*m**2 + 868*m + 864.
4*(m + 1)*(m + 216)
Let z**5/5 + 9*z**4/5 - 18*z**3/5 - 162*z**2/5 + 81*z/5 + 729/5 = 0. Calculate z.
-9, -3, 3
Factor 3*p**3 + 15*p**2 - 375*p + 1125.
3*(p - 5)**2*(p + 15)
Solve -4*v**4/5 - 16*v**3/5 + 15*v**2 - 61*v/5 + 14/5 = 0 for v.
-7, 1/2, 2
Factor 2*q**3/5 + 72*q**2/5 + 138*q/5 + 68/5.
2*(q + 1)**2*(q + 34)/5
Solve w**4/2 + 63*w**3/2 + 485*w**2/2 - 63*w/2 - 243 = 0 for w.
-54, -9, -1, 1
Find p, given that p**4 + 34*p**3/3 - 68*p**2 + 104*p - 128/3 = 0.
-16, 2/3, 2
Determine t, given that -12*t**5 - 80*t**4 + 40*t**3 + 80*t**2 - 28*t = 0.
-7, -1, 0, 1/3, 1
Solve -128*r**5/9 + 32*r**4 - 38*r**3/3 - 106*r**2/9 + 14*r/3 + 2 = 0 for r.
-3/8, 1
Solve 7*x**5/3 + 17*x**4 - 70*x**3/3 - 220*x**2/3 + 56*x + 64/3 = 0 for x.
-8, -2, -2/7, 1, 2
Suppose 3*v**4/5 + 198*v**3/5 - 9*v**2/5 - 120*v - 396/5 = 0. What is v?
-66, -1, 2
Let 4*z**3 - 2648*z**2 + 443492*z - 1731856 = 0. What is z?
4, 329
Find d such that -2*d**4 - 208*d**3 - 5194*d**2 + 11236*d = 0.
-53, 0, 2
Factor -3*q**5 - 6*q**4 - 3*q**3.
-3*q**3*(q + 1)**2
Let 3*w**4/7 - 6*w**3/7 - 33*w**2/7 + 36*w/7 + 108/7 = 0. Calculate w.
-2, 3
Factor -w**2 - 71*w + 222.
-(w - 3)*(w + 74)
Let b**5/5 + 6*b**4/5 - 8*b**3/5 - 48*b**2/5 + 16*b/5 + 96/5 = 0. What is b?
-6, -2, 2
Let 4*v**3 + 12*v**2 + 12*v + 4 = 0. Calculate v.
-1
Determine j, given that -6*j**5 - 2*j**4 + 64*j**3 - 88*j**2 + 32*j = 0.
-4, 0, 2/3, 1, 2
Find w such that 6*w**5/5 - 86*w**4/5 - 258*w**3/5 - 234*w**2/5 - 68*w/5 = 0.
-1, -2/3, 0, 17
Factor 12*j**3 - 45*j**2 - 12*j.
3*j*(j - 4)*(4*j + 1)
Solve -7*t**5/2 - 13*t**4 - 10*t**3 + 4*t**2 = 0 for t.
-2, 0, 2/7
Factor -2*t**2 - 142*t - 140.
-2*(t + 1)*(t + 70)
Factor 2*i**3/13 - 112*i**2/13 - 1592*i/13 - 2720/13.
2*(i - 68)*(i + 2)*(i + 10)/13
Factor o**4/5 - 8*o**3/5 + o**2 + 10*o.
o*(o - 5)**2*(o + 2)/5
Suppose y**4/4 - 5*y**3/4 - y**2/2 + 6*y = 0. What is y?
-2, 0, 3, 4
Determine n so that -3*n**2 + 267*n - 3330 = 0.
15, 74
Let 2*m**3/7 + 3704*m**2/7 = 0. What is m?
-1852, 0
Factor 5*j**2 - 580*j - 585.
5*(j - 117)*(j + 1)
Factor 36*k**5 + 9240*k**4 + 786400*k**3 + 21837120*k**2 - 30175680*k + 10176896.
4*(k + 86)**3*(3*k - 2)**2
Factor 4*h**2 - 68*h - 152.
4*(h - 19)*(h + 2)
Factor -9*x**4/5 - 21*x**3 - 66*x**2/5.
-3*x**2*(x + 11)*(3*x + 2)/5
Factor -m**5 - m**4 + 6*m**3 + 14*m**2 + 11*m + 3.
-(m - 3)*(m + 1)**4
Factor d**4 - 19*d**3/4 - 5*d**2/4.
d**2*(d - 5)*(4*d + 1)/4
Solve -4*g**5 - 312*g**4 - 4324*g**3 + 68640*g**2 - 193600*g = 0 for g.
-44, 0, 5
Find i, given that i**3 + 45*i**2 + 87*i + 43 = 0.
-43, -1
Suppose 2*r**4/5 - 16*r**3/5 - 1052*r**2/5 + 10336*r/5 + 39882/5 = 0. Calculate r.
-23, -3, 17
Factor 12*p**2 + 2667*p + 666.
3*(p + 222)*(4*p + 1)
Find c such that -14*c**5/3 - 6*c**4 + 38*c**3/3 + 26*c**2/3 - 8*c - 8/3 = 0.
-2, -1, -2/7, 1
Factor -2*b**4/13 - 1132*b**3/13 - 2258*b**2/13 - 1128*b/13.
-2*b*(b + 1)**2*(b + 564)/13
Factor -4*f**3 + 1156*f**2 - 84096*f + 82944.
-4*(f - 144)**2*(f - 1)
Factor v**2/4 + 29*v/4 - 15/2.
(v - 1)*(v + 30)/4
Factor -2*v**5/5 + 2*v**4/5 + 2*v**3/5 - 2*v**2/5.
-2*v**2*(v - 1)**2*(v + 1)/5
Factor -405*o**3 - 67050*o**2 + 29860*o - 3320.
-5*(o + 166)*(9*o - 2)**2
Suppose -3*n**3 + 6*n**2 + 117*n + 216 = 0. What is n?
-3, 8
Let 4*t**5/7 - 1440*t**4/7 + 129597*t**3/7 + 1079*t**2/7 - 96840*t/7 - 32400/7 = 0. Calculate t.
-1/2, 1, 180
Find x such that 15*x**4 + 17*x**3 - 58*x**2 - 68*x - 8 = 0.
-2, -1, -2/15, 2
Find r such that 2*r**5 - 18*r**4 - 258*r**3 + 562*r**2 - 288*r = 0.
-9, 0, 1, 16
Let -2*z**4/3 + 2*z**3 + 14*z**2/3 - 18*z + 12 = 0. What is z?
-3, 1, 2, 3
Factor -3*r**2 - 114*r + 369.
-3*(r - 3)*(r + 41)
Factor 4*b**2/3 - 40*b - 124/3.
4*(b - 31)*(b + 1)/3
Factor -5*a**4 - 40*a**3 + 55*a**2 + 90*a.
-5*a*(a - 2)*(a + 1)*(a + 9)
Let -2*l**5/3 + 78*l**4 + 242*l**3/3 - 706*l**2/3 - 80*l + 472/3 = 0. Calculate l.
-2, -1, 1, 118
Solve -3*s**5 - 1128*s**4 - 1116*s**3 + 3390*s**2 + 5631*s + 2250 = 0.
-375, -1, 2
Suppose -2*h**5/21 + 76*h**4/21 - 614*h**3/21 + 180*h**2/7 = 0. Calculate h.
0, 1, 10, 27
What is t in -1280*t**5 - 288*t**4 + 1523*t**3 + 261*t**2 - 243*t + 27 = 0?
-1, -3/5, 3/16, 1
Factor 3*f**4 - 27*f**3 - 243*f**2 - 393*f - 180.
3*(f - 15)*(f + 1)**2*(f + 4)
Solve -3*c**3 + 159*c**2/4 - 303*c/4 + 33/2 = 0.
1/4, 2, 11
Determine q, given that 2*q**2/7 - 40*q/7 - 6 = 0.
-1, 21
Determine b so that 9*b**4 + 178*b**3 + 437*b**2 + 200*b - 68 = 0.
-17, -2, -1, 2/9
Find u, given that u**3/5 + 89*u**2/5 + 515*u + 4875 = 0.
-39, -25
Factor -2*n**3/9 - 80*n**2/3.
-2*n**2*(n + 120)/9
Let g**2/5 + 6*g/5 - 32 = 0. What is g?
-16, 10
Factor -l**2/5 + 1926*l/5 - 927369/5.
-(l - 963)**2/5
Determine w, given that 9*w**3/4 + 634*w**2 + 178365*w/4 - 19881/2 = 0.
-141, 2/9
Suppose -4*x**2 - 60*x - 176 = 0. What is x?
-11, -4
Suppose z**3/5 - 17*z**2/5 + 16*z - 64/5 = 0. What is z?
1, 8
Factor -4*w**4 + 20*w**3 + 132*w**2 + 108*w.
-4*w*(w - 9)*(w + 1)*(w + 3)
Solve -2*m**4/11 + 30*m**3/11 + 282*m**2/11 - 646*m/11 + 336/11 = 0 for m.
-8, 1, 21
Factor -2*u**2/3.
-2*u**2/3
Factor 4*m**2 - 2048*m.
4*m*(m - 512)
Find z, given that z**3/4 + 23*z**2/4 + 15*z = 0.
-20, -3, 0
What is x in -x**3/3 + 13*x**2 - 58*x + 136/3 = 0?
1, 4, 34
Factor -4*r**2 + 40*r - 36.
-4*(r - 9)*(r - 1)
Factor -6*t**2 - 5*t + 1.
-(t + 1)*(6*t - 1)
Determine f so that 3*f**4/4 - 6*f**3 - 27*f**2/4 + 69*f + 105 = 0.
-2, 5, 7
Solve -4*p**5 - 64*p**4 + 172*p**3 + 424*p**2 - 1392*p + 864 = 0 for p.
-18, -3, 1, 2
Let -5*l**4/2 - 49*l**3 - 55*l**2/2 + 19*l = 0. What is l?
-19, -1, 0, 2/5
Suppose 12*f**5/7 - 7*f**4 + 3*f**3/7 + 4*f**2/7 = 0. Calculate f.
-1/4, 0, 1/3, 4
Solve -18*v**5/5 - 192*v**4/5 - 572*v**3/5 - 64*v**2 - 10*v = 0.
-5, -1/3, 0
Find b, given that -5*b**3 + 10*b**2 + 65*b + 50 = 0.
-2, -1, 5
Solve -a**5/6 - a**4/6 + 73*a**3/6 + 181*a**2/6 - 42*a = 0.
-7, -4, 0, 1, 9
Factor -2*v**3/13 + 372*v**2/13 - 370*v/13.
-2*v*(v - 185)*(v - 1)/13
Let 3*g**4 + 48*g**3 - 849*g**2 - 1830*g - 936 = 0. Calculate g.
-26, -1, 12
Factor 3*p**4 - 45*p**3 - 342*p**2 - 732*p - 504.
3*(p - 21)*(p + 2)**3
Factor -k**3/9 + k**2 - 14*k/9.
-k*(k - 7)*(k - 2)/9
Determine r, given that 5*r**2 + 100*r + 320 = 0.
-16, -4
Find d, given that -3*d**4 + 24*d**3 - 45*d**2 = 0.
0, 3, 5
Suppose -2*y**3/9 + 88*y**2/9 - 520*y/9 - 10816/9 = 0. What is y?
-8, 26
Factor k**2/12 - 7*k/4 + 17/3.
(k - 17)*(k - 4)/12
Factor -46208*l**3 - 608*l**2 - 2*l.
-2*l*(152*l + 1)**2
Determine o so that -32*o**5/17 - 7952*o**4/17 - 11826*o**3/17 + 7406*o**2/17 - 988*o/17 = 0.
-247, -2, 0, 1/4
Let x**3/3 + 327*x**2 + 106929*x + 11655261 = 0. What is x?
-327
Factor -h**4/4 + 27*h**3/4 - 58*h**2 + 135*h + 200.
-(h - 10)**2*(h - 8)*(h + 1)/4
What is n in 2*n**5 + 60*n**4 - 62*n**3 = 0?
-31, 0, 1
Suppose -100*w**5/21 - 50*w**4/21 + 46*w**3/21 - 4*w**2/21 = 0. Calculate w.
-1, 0, 1/10, 2/5
Factor n**4/2 - 61*n**3/2 - 125*n**2/2 - 63*n/2.
n*(n - 63)*(n + 1)**2/2
Dete