 t**2/6 - t/2 = 0. What is t?
-1, 0, 1, 3
Factor -3*g**3/2 - 33*g**2 + 360*g.
-3*g*(g - 8)*(g + 30)/2
Factor -33*v**2 - 651*v/4 + 45/4.
-3*(v + 5)*(44*v - 3)/4
Factor -2*s**2/17 - 16*s/17 - 32/17.
-2*(s + 4)**2/17
Suppose 5*r**2 - 630*r + 625 = 0. Calculate r.
1, 125
Suppose i**2/2 - 595*i/2 = 0. Calculate i.
0, 595
Factor -a**3/4 + 21*a/4 - 5.
-(a - 4)*(a - 1)*(a + 5)/4
Factor 5*u**4 - 3*u**3 - 32*u**2 - 12*u.
u*(u - 3)*(u + 2)*(5*u + 2)
Find h such that 2*h**2/7 - 48*h/7 - 50/7 = 0.
-1, 25
Factor -7*h**4/4 - 19*h**3/4 - 17*h**2/4 - 5*h/4.
-h*(h + 1)**2*(7*h + 5)/4
Determine o, given that -o**5/10 + 3*o**4/5 - 4*o**3/5 - o**2/5 + 9*o/10 - 2/5 = 0.
-1, 1, 4
Factor -s**3/6 + 29*s**2/2 - 585*s/2 - 2025/2.
-(s - 45)**2*(s + 3)/6
Factor 58*v**2/5 - 112*v/5 - 8/5.
2*(v - 2)*(29*v + 2)/5
Factor 65*t**3 - 360*t**2 - 180*t.
5*t*(t - 6)*(13*t + 6)
Factor p**3/4 - 1419*p**2/4 + 504099*p/4 - 502681/4.
(p - 709)**2*(p - 1)/4
Determine n so that -3*n**5 - 45*n**4 + 54*n**3 + 96*n**2 = 0.
-16, -1, 0, 2
Factor 2*p**2/3 + 170*p/3.
2*p*(p + 85)/3
Factor -2*n**3/9 - 22*n**2/9 + 2*n/9 + 22/9.
-2*(n - 1)*(n + 1)*(n + 11)/9
Factor 4*o**3 + 136*o**2 + 420*o - 14112.
4*(o - 8)*(o + 21)**2
Let 4*w**2/7 - 4*w = 0. Calculate w.
0, 7
Factor -2*k**3/13 + 82*k**2/13 + 402*k/13 - 1890/13.
-2*(k - 45)*(k - 3)*(k + 7)/13
Find m such that m**2 - 12*m = 0.
0, 12
Determine d, given that -2*d**4 - 2*d**3 + 130*d**2 - 126*d = 0.
-9, 0, 1, 7
Factor 4*q**4 - 220*q**3 + 3132*q**2 - 2916*q.
4*q*(q - 27)**2*(q - 1)
Determine r so that -3*r**3 - 255*r**2 - 5016*r + 17424 = 0.
-44, 3
Solve 4*x**2 - 152*x + 148 = 0.
1, 37
Suppose -z**5/3 + 11*z**4/3 - 5*z**3 - 45*z**2 + 72*z + 108 = 0. What is z?
-3, -1, 3, 6
Let h**2 - 39*h + 38 = 0. Calculate h.
1, 38
Factor -2*w**2 + 3836*w - 1839362.
-2*(w - 959)**2
Let q**3/2 + 15*q**2 + 27*q/2 - 29 = 0. What is q?
-29, -2, 1
Factor -648*d**3/5 + 1872*d**2/5 + 214*d/5 + 6/5.
-2*(d - 3)*(18*d + 1)**2/5
Find t, given that 5*t**2 - 295*t + 290 = 0.
1, 58
Determine o, given that o**4/4 - 3*o**3/4 + o**2/4 + 3*o/4 - 1/2 = 0.
-1, 1, 2
Determine i so that 5*i**3 + 338*i**2/7 + 481*i/7 - 110/7 = 0.
-55/7, -2, 1/5
What is v in -36*v**5 - 44*v**4 + 28*v**3 + 44*v**2 + 8*v = 0?
-1, -2/9, 0, 1
Factor -2*n**3/11 - 78*n**2/11 - 76*n/11.
-2*n*(n + 1)*(n + 38)/11
Factor 3*c**4/4 + 15*c**3/4 + 9*c**2/2 - 3*c - 6.
3*(c - 1)*(c + 2)**3/4
Determine r so that 100352*r**3 - 95872*r**2 - 4430*r - 50 = 0.
-5/224, 1
Solve w**4 + w**3 - 23*w**2 + 39*w - 18 = 0 for w.
-6, 1, 3
Find t, given that 3*t**4 + 33*t**3 + 135*t**2 + 243*t + 162 = 0.
-3, -2
Solve -2*y**5/9 + 40*y**4/9 + 244*y**3/9 - 3872*y**2/9 - 30770*y/9 - 57800/9 = 0 for y.
-5, -4, 17
Determine g, given that -8*g**3 - 318*g**2 - 1072*g + 288 = 0.
-36, -4, 1/4
Solve -b**5/12 - 19*b**4/12 - 9*b**3/4 + 115*b**2/12 - 17*b/3 = 0.
-17, -4, 0, 1
Factor -2*v**2/3 + 86*v + 264.
-2*(v - 132)*(v + 3)/3
Factor -2*g**3/9 + 1280*g**2/9 - 206074*g/9 + 407044/9.
-2*(g - 319)**2*(g - 2)/9
Solve 2*r**3/11 + 2*r**2/11 - 8*r/11 - 8/11 = 0.
-2, -1, 2
Let -4*l**5 - 40*l**4 - 48*l**3 + 288*l**2 = 0. What is l?
-6, 0, 2
Determine q, given that 5*q**5 - 10*q**4 - 20*q**3 + 10*q**2 + 15*q = 0.
-1, 0, 1, 3
Find r such that 3*r**4/8 - 21*r**3/2 + 183*r**2/2 - 252*r + 216 = 0.
2, 12
Solve 39*f**2/8 + 45*f/8 + 3/4 = 0.
-1, -2/13
Factor -2*b**3 + 32*b**2 + 152*b + 160.
-2*(b - 20)*(b + 2)**2
Factor -2*o**3 - 182*o**2 - 4048*o + 4232.
-2*(o - 1)*(o + 46)**2
Find i, given that -55*i**5 + 205*i**4 + 115*i**3 - 205*i**2 - 60*i = 0.
-1, -3/11, 0, 1, 4
Factor -3*j**4 - 39*j**3 - 33*j**2 + 39*j + 36.
-3*(j - 1)*(j + 1)**2*(j + 12)
Factor 4*r**5 - 19*r**4 + 27*r**3 - 8*r**2 - 4*r.
r*(r - 2)**2*(r - 1)*(4*r + 1)
Let h**3/2 + 19*h**2 + 409*h/2 + 546 = 0. What is h?
-21, -13, -4
Solve -2*u**3/11 - 6220*u**2/11 - 4842264*u/11 - 9659664/11 = 0 for u.
-1554, -2
Factor -z**3 + 10*z**2 + 17*z - 66.
-(z - 11)*(z - 2)*(z + 3)
Factor -15*t**3 + 365*t**2 - 120*t.
-5*t*(t - 24)*(3*t - 1)
Solve -k**5/9 + 5*k**4 + 46*k**3/9 = 0 for k.
-1, 0, 46
Factor -2*q**2/3 - 6688*q/3 - 5591168/3.
-2*(q + 1672)**2/3
Factor 2*t**3/21 - 1544*t**2/21 + 297992*t/21.
2*t*(t - 386)**2/21
Solve -4*i**4 - 136*i**3 - 816*i**2 - 1656*i - 972 = 0.
-27, -3, -1
Suppose -2*p**3 - 120*p**2 + 2*p + 120 = 0. Calculate p.
-60, -1, 1
Factor 8*u**3 - 4*u**2 - 108*u + 144.
4*(u - 3)*(u + 4)*(2*u - 3)
Factor -4*a**3 - 48*a**2 - 20*a + 264.
-4*(a - 2)*(a + 3)*(a + 11)
Solve -2*i**3/3 + 220*i**2/3 - 1438*i - 1512 = 0 for i.
-1, 27, 84
Factor -o**4/2 - 9*o**3/2 + 6*o**2 + 10*o.
-o*(o - 2)*(o + 1)*(o + 10)/2
Determine j, given that -4*j**3 + 2928*j**2 - 535824*j = 0.
0, 366
Let 25*b**3 + 515*b**2 - 210*b = 0. Calculate b.
-21, 0, 2/5
Determine m, given that 4*m**3 + 1744*m**2 - 7024*m + 7040 = 0.
-440, 2
Solve 4*j**3 - 12*j - 8 = 0.
-1, 2
Determine i, given that -4*i**3 - 76*i**2 + 80*i = 0.
-20, 0, 1
Find b such that -2*b**4 + 94*b**3 - 840*b**2 - 6344*b - 5408 = 0.
-4, -1, 26
Let 2*i**2/3 - 2*i/3 = 0. What is i?
0, 1
Factor -3*c**4 + 24*c**3 - 60*c**2 + 48*c.
-3*c*(c - 4)*(c - 2)**2
Let -5*i**4 - 215*i**3 - 1530*i**2 = 0. What is i?
-34, -9, 0
Determine h so that 4*h**5 - 36*h**4 + 116*h**3 - 172*h**2 + 120*h - 32 = 0.
1, 2, 4
Factor 2*n**2/5 - 16*n + 160.
2*(n - 20)**2/5
Factor 3*f**3/4 - 33*f**2 + 1407*f/4 - 2205/2.
3*(f - 30)*(f - 7)**2/4
Let -2*j**4/3 + 44*j**3/3 - 72*j**2 + 400*j/3 - 256/3 = 0. What is j?
2, 16
Factor -f**3/4 - 5*f**2/2 + 7*f/4 + 49.
-(f - 4)*(f + 7)**2/4
Factor 5*o**2 + 11950*o + 7140125.
5*(o + 1195)**2
Factor 2*i**3/17 - 2*i**2/17 - 12*i/17.
2*i*(i - 3)*(i + 2)/17
Factor 5*r**2 + 15*r + 10.
5*(r + 1)*(r + 2)
Factor 2*b**2/5 + 1028*b/5 + 132098/5.
2*(b + 257)**2/5
Factor -4*c**4 - 16*c**3 - 12*c**2.
-4*c**2*(c + 1)*(c + 3)
Suppose -5*m**2 + 1390*m - 6825 = 0. Calculate m.
5, 273
Solve 3*p**3 + 24*p**2 - 105*p - 882 = 0.
-7, 6
Suppose 5*w**5 + 30*w**4 - 270*w**2 - 405*w = 0. What is w?
-3, 0, 3
Determine d, given that -d**5/3 + 11*d**4 - 211*d**3/3 + 89*d**2 + 212*d/3 - 100 = 0.
-1, 1, 2, 6, 25
Find y such that -114*y**5/5 - 538*y**4/5 - 142*y**3/5 + 906*y**2/5 + 656*y/5 + 32/5 = 0.
-4, -1, -1/19, 4/3
Factor -10658*k**2 - 292*k - 2.
-2*(73*k + 1)**2
Determine t so that 5*t**4/3 + 20*t**3/3 - 20*t**2/3 - 80*t/3 = 0.
-4, -2, 0, 2
Factor 75*s**4 + 1365*s**3 + 7752*s**2 + 12996*s.
3*s*(s + 3)*(5*s + 38)**2
Factor m**4 + 537*m**3 - 540*m**2 - 1076*m.
m*(m - 2)*(m + 1)*(m + 538)
Factor -3*l**2/7 + 15*l/7 - 12/7.
-3*(l - 4)*(l - 1)/7
Factor k**5/6 + 5*k**4/6 - 7*k**3/2 - 53*k**2/6 - 14*k/3.
k*(k - 4)*(k + 1)**2*(k + 7)/6
Determine w, given that 4800675*w**4/4 + 311190*w**3 - 2598*w**2 - 2952*w + 108 = 0.
-2/11, 6/115
Factor 3*n**2/2 + 510*n + 43350.
3*(n + 170)**2/2
Factor -3*o**2 + 294*o.
-3*o*(o - 98)
Factor d**5 + 3*d**4 - 2*d**3 - 6*d**2 + d + 3.
(d - 1)**2*(d + 1)**2*(d + 3)
Find j such that -8*j**4 + 4*j**3 + 96*j**2 + 80*j - 64 = 0.
-2, 1/2, 4
Suppose -12*f**5 + 32*f**4 - 24*f**3 + 4*f = 0. What is f?
-1/3, 0, 1
Solve 4*w**5 + 36*w**4 + 80*w**3 = 0.
-5, -4, 0
Let 4*w**3/3 - 16*w**2 + 48*w = 0. Calculate w.
0, 6
Determine t, given that -2*t**4/5 - 3768*t**3/5 = 0.
-1884, 0
Let 5*z**3 + 25*z**2 + 35*z + 15 = 0. Calculate z.
-3, -1
Factor 20*w**3 - 35*w**2 - 25*w + 30.
5*(w - 2)*(w + 1)*(4*w - 3)
Find v such that 2*v**2/5 - 6*v/5 - 8/5 = 0.
-1, 4
Find w such that 4*w**4/5 + 284*w**3/5 - 116*w**2 + 292*w/5 = 0.
-73, 0, 1
Let 2*v**5/9 - 10*v**4/9 - 34*v**3/9 + 34*v**2/9 + 64*v/9 - 56/9 = 0. Calculate v.
-2, 1, 7
Determine r, given that 75*r**4 + 330*r**3 + 348*r**2 + 102*r + 9 = 0.
-3, -1, -1/5
Factor 2*y**2 - 18*y + 16.
2*(y - 8)*(y - 1)
Determine v, given that -2*v**5 + 4*v**4 + 6*v**3 - 8*v**2 - 8*v = 0.
-1, 0, 2
What is b in -3*b**2 - 21*b + 24 = 0?
-8, 1
Factor -2*n**3/7 + 24*n**2 - 672*n + 6272.
-2*(n - 28)**3/7
What is g in -g**2 + 64*g + 65 = 0?
-1, 65
Let -3*z**3/4 - 222*z**2 + 5421*z/4 - 2265/2 = 0. What is z?
-302, 1, 5
Factor -2*a**2 - 124*a/5 - 48/5.
-2*(a + 12)*(5*a + 2)/5
Determine k so that 2*k**5 - 86*k**4 - 364*k**3 - 556*k**2 - 374*k - 94 = 0.
-1, 47
Factor -3*a**3 + 453*a**2.
-3*a**2*(a - 151)
Suppose 4*n**5/5 + 3*n**4/5 - n**3 - 3*n**2/5 + n/5 = 0. Calculate n.
-1, 0, 1/4, 1
Let -4*x**5 + 112*x**4 + 1704*x**3 + 8208*x**2 + 16956*x + 12960 = 0. What is x?
-3, 40