 -1, 0
Factor 2*b**3 - 52*b**2 - 544*b.
2*b*(b - 34)*(b + 8)
Determine c, given that -28*c**4 - 460*c**3 - 612*c**2 - 180*c = 0.
-15, -1, -3/7, 0
Solve d**5/4 + 43*d**4/4 - 91*d**3/4 - 43*d**2/4 + 45*d/2 = 0 for d.
-45, -1, 0, 1, 2
Suppose 2*n**4/7 - 90*n**3/7 + 398*n**2/7 + 90*n/7 - 400/7 = 0. Calculate n.
-1, 1, 5, 40
What is k in k**5/2 - 2*k**4 + 2*k**3 + k**2 - 5*k/2 + 1 = 0?
-1, 1, 2
Factor -5*l**3 + 260*l**2 - 1760*l.
-5*l*(l - 44)*(l - 8)
Factor h**5/5 + 2*h**4/5 + h**3/5.
h**3*(h + 1)**2/5
Determine j so that -3*j**2 + 33*j + 180 = 0.
-4, 15
Suppose -5*g**3 - 80*g**2 + 175*g - 90 = 0. What is g?
-18, 1
Factor 3*w**4 + w**3 - 9*w**2 + 3*w + 2.
(w - 1)**2*(w + 2)*(3*w + 1)
Suppose 10*t**4 + 5*t**3 - 25*t**2 - 5*t + 15 = 0. Calculate t.
-3/2, -1, 1
Factor -2*n**4 - 26*n**3 + 90*n**2 - 94*n + 32.
-2*(n - 1)**3*(n + 16)
Factor -3*p**3/5 - 138*p**2/5 - 267*p/5 - 132/5.
-3*(p + 1)**2*(p + 44)/5
Factor 2*a**2 + 536*a.
2*a*(a + 268)
Factor -g**4 - 4*g**3 + g**2 + 4*g.
-g*(g - 1)*(g + 1)*(g + 4)
Find n such that -2*n**4 - 3196*n**3 - 12762*n**2 - 15944*n - 6376 = 0.
-1594, -2, -1
Suppose 2*u**3/3 + 298*u**2/3 - 724*u + 624 = 0. What is u?
-156, 1, 6
Suppose 2*h**3/15 - 4*h**2/3 - 46*h/15 - 8/5 = 0. What is h?
-1, 12
Find x such that 21*x**4/2 - 53*x**3/10 - 111*x**2/10 + 53*x/10 + 3/5 = 0.
-1, -2/21, 3/5, 1
Determine r, given that 2*r**2/9 + 146*r/9 = 0.
-73, 0
Find p such that p**3/6 + 13*p**2/3 + 71*p/6 + 23/3 = 0.
-23, -2, -1
Suppose -5*k**2 - 185*k + 5700 = 0. What is k?
-57, 20
Factor -5*f**5 + 130*f**4 - 840*f**3 + 2320*f**2 - 2960*f + 1440.
-5*(f - 18)*(f - 2)**4
Find q, given that -2*q**5/5 + 22*q**3/5 + 36*q**2/5 + 16*q/5 = 0.
-2, -1, 0, 4
Determine c, given that -2*c**3/5 - 408*c**2/5 + 1238*c/5 - 828/5 = 0.
-207, 1, 2
Let 44*n**5/3 + 80*n**4/3 - 108*n**3 + 232*n**2/3 - 32*n/3 = 0. What is n?
-4, 0, 2/11, 1
Let 2*m**2/3 + 2426*m/3 - 2428/3 = 0. What is m?
-1214, 1
Suppose j**2/5 + 11*j/5 - 102/5 = 0. What is j?
-17, 6
Solve 4*h**2 - 60*h - 216 = 0 for h.
-3, 18
Solve 7*b**4/5 - 13*b**3/5 - 107*b**2/5 + 237*b/5 + 36/5 = 0 for b.
-4, -1/7, 3
Let b**2/4 + 240*b - 961/4 = 0. What is b?
-961, 1
Solve -q**2/3 + 2584*q - 5007792 = 0 for q.
3876
Let 2*t**5 - 16*t**3 + 12*t**2 + 14*t - 12 = 0. What is t?
-3, -1, 1, 2
Factor 20*k**2 - 124*k + 24.
4*(k - 6)*(5*k - 1)
Determine i so that 6*i**2/5 - 642*i/5 - 2664/5 = 0.
-4, 111
Factor 2*r**2/7 - 20976*r/7 + 54999072/7.
2*(r - 5244)**2/7
Determine i, given that -98*i**3 - 9170*i**2 - 5216*i - 744 = 0.
-93, -2/7
Suppose -j**3/4 + 345*j**2/4 - 687*j/4 + 343/4 = 0. Calculate j.
1, 343
Find h, given that -35*h**4 + 550*h**3 - 1660*h**2 + 1160*h + 480 = 0.
-2/7, 2, 12
Factor 4*t**3 - 32*t**2 - 76*t - 40.
4*(t - 10)*(t + 1)**2
Let 2*a**2/5 - 6*a - 400 = 0. What is a?
-25, 40
Find f, given that 5*f**5 + 25*f**4 - 10*f**3 - 50*f**2 + 5*f + 25 = 0.
-5, -1, 1
Suppose 3*f**5 + 30*f**4 + 114*f**3 + 204*f**2 + 171*f + 54 = 0. What is f?
-3, -2, -1
Determine x, given that -4*x**4 - 112*x**3 - 780*x**2 + 112*x + 784 = 0.
-14, -1, 1
Factor 3*z**2 - 459*z + 906.
3*(z - 151)*(z - 2)
Factor -m**2 + 672*m + 1348.
-(m - 674)*(m + 2)
What is i in -i**2 + 8*i - 15 = 0?
3, 5
Let 64*a**4 - 680*a**3 - 1116*a**2 + 720*a = 0. Calculate a.
-15/8, 0, 1/2, 12
Factor -3*q**2 - 18*q - 27.
-3*(q + 3)**2
Factor 3*o**2 + 312*o + 8112.
3*(o + 52)**2
Suppose -6*v**3/5 - 134*v**2/5 + 1136*v/5 - 696/5 = 0. What is v?
-29, 2/3, 6
Let 4*n**3 + 64*n**2 + 244*n + 264 = 0. Calculate n.
-11, -3, -2
Suppose 5*x**3 - 375*x**2 + 370*x = 0. What is x?
0, 1, 74
Solve 2*l**2/17 + 8*l + 136 = 0.
-34
Factor -2*z**3 - 8*z**2 + 344*z - 640.
-2*(z - 10)*(z - 2)*(z + 16)
Factor 2*o**4 + 12*o**3 - 62*o**2 - 168*o + 576.
2*(o - 3)**2*(o + 4)*(o + 8)
Find n, given that 2*n**5/5 + 71*n**4/5 + 32*n**3/5 - 106*n**2/5 - 34*n/5 + 7 = 0.
-35, -1, 1/2, 1
Suppose 5*b**3 - 1135*b**2 + 1120*b + 2260 = 0. What is b?
-1, 2, 226
Solve -2*p**2 + 158*p + 160 = 0.
-1, 80
Suppose -u**3/4 + 23*u**2/4 + 190*u + 1075 = 0. Calculate u.
-10, 43
Solve 4*b**5 + 416*b**4 + 2352*b**3 - 128*b**2 - 12544*b = 0.
-98, -4, 0, 2
Let -162*c**5 + 414*c**4 - 116*c**3 - 120*c**2 - 16*c = 0. Calculate c.
-2/9, 0, 1, 2
Find p, given that p**2/4 - 79*p - 317/4 = 0.
-1, 317
Factor 2*l**2/5 - 52*l/5 + 10.
2*(l - 25)*(l - 1)/5
What is q in -2*q**2 + 444*q - 24642 = 0?
111
Factor g**5 + 31*g**4 - 222*g**3 + 32*g**2 + 1184*g.
g*(g - 4)**2*(g + 2)*(g + 37)
Let -2*u**4/3 + 454*u**3/3 - 902*u**2/3 + 150*u = 0. What is u?
0, 1, 225
Solve -s**5/4 - 13*s**4/4 + 15*s**3/2 = 0 for s.
-15, 0, 2
Determine l, given that -65*l**4 - 190*l**3 + 2705*l**2 + 190*l - 2640 = 0.
-8, -1, 1, 66/13
Suppose 4*q**2 + 2148*q - 4312 = 0. What is q?
-539, 2
Determine q so that -6*q**5 - 1616*q**4 - 6440*q**3/3 - 2144*q**2/3 = 0.
-268, -2/3, 0
Factor -a**2/2 + 2*a + 21/2.
-(a - 7)*(a + 3)/2
Factor 5*f**5 - 15*f**4 - 35*f**3 + 75*f**2 + 90*f.
5*f*(f - 3)**2*(f + 1)*(f + 2)
Factor -200*o**3/9 - 190*o**2/9 - 4*o/3 + 2.
-2*(4*o - 1)*(5*o + 3)**2/9
Let 3*m**3/7 + 3*m**2 + 6*m + 24/7 = 0. Calculate m.
-4, -2, -1
Factor -t**4/2 - 15*t**3 - 28*t**2.
-t**2*(t + 2)*(t + 28)/2
Factor -q**4 + q**3 + 6*q**2.
-q**2*(q - 3)*(q + 2)
Let -p**5/4 + 26*p**4 - 1655*p**3/2 + 7653*p**2 - 51705*p/4 + 6075 = 0. Calculate p.
1, 12, 45
Factor v**3/12 + 3*v**2 - 319*v/12 - 129/2.
(v - 9)*(v + 2)*(v + 43)/12
Solve 4*r**3 + 180*r**2 + 1932*r - 2116 = 0 for r.
-23, 1
What is j in -3*j**4 + 93*j**3 - 153*j**2 - 597*j - 348 = 0?
-1, 4, 29
Factor 4*l**2 - 36952*l + 85340644.
4*(l - 4619)**2
Find i, given that -i**3/3 - 15*i**2 + i/3 + 15 = 0.
-45, -1, 1
Factor 2*y**3/17 - 24*y**2/17 - 2*y/17 + 24/17.
2*(y - 12)*(y - 1)*(y + 1)/17
Determine w so that w**2/3 - 31*w/3 + 28 = 0.
3, 28
Find d, given that d**3 - d**2 - 24*d - 36 = 0.
-3, -2, 6
Factor -n**4/5 - n**3.
-n**3*(n + 5)/5
Factor 3*y**2/5 + 1098*y/5 - 3321/5.
3*(y - 3)*(y + 369)/5
What is d in -3*d**5 - 63*d**4 - 411*d**3 - 837*d**2 - 486*d = 0?
-9, -2, -1, 0
Determine w so that w**5/6 - 56*w**4/3 - 227*w**3/6 - 19*w**2 = 0.
-1, 0, 114
Factor d**4 + 39*d**3 - 175*d**2 - 111*d + 774.
(d - 3)**2*(d + 2)*(d + 43)
Suppose v**3/2 + 187*v**2/2 + 735*v/2 + 549/2 = 0. Calculate v.
-183, -3, -1
Factor -4*m**2 + 420*m - 416.
-4*(m - 104)*(m - 1)
Factor 3*t**2 - 1461*t - 2934.
3*(t - 489)*(t + 2)
What is x in x**3/6 + x**2 - 6*x + 20/3 = 0?
-10, 2
Factor -3*g**4 - 1236*g**3 - 128538*g**2 - 253380*g - 126075.
-3*(g + 1)**2*(g + 205)**2
Factor v**5/6 - 5*v**4/2 - 9*v**3.
v**3*(v - 18)*(v + 3)/6
Factor -a**2/4 + 5*a/4 + 3/2.
-(a - 6)*(a + 1)/4
Determine w, given that w**5 - 23*w**4/4 + 7*w**3/2 + 5*w**2/4 = 0.
-1/4, 0, 1, 5
Suppose 2*b**4/9 - 4*b**3/3 - 14*b**2/9 = 0. Calculate b.
-1, 0, 7
Factor -4*b**4 + 36*b**3 - 92*b**2 + 12*b + 144.
-4*(b - 4)*(b - 3)**2*(b + 1)
Suppose 4*i**5/3 - 44*i**4/3 + 133*i**3/3 - 158*i**2/3 + 79*i/3 - 14/3 = 0. Calculate i.
1/2, 1, 2, 7
Let 2*t**3/9 + 86*t**2/9 - 272*t/9 + 184/9 = 0. Calculate t.
-46, 1, 2
Factor 2*y**2/5 + 18324*y/5 + 41971122/5.
2*(y + 4581)**2/5
Factor -2*o**2/5 - 64*o - 2560.
-2*(o + 80)**2/5
Factor n**2 - 294*n + 2288.
(n - 286)*(n - 8)
Factor b**2/2 - 23*b/2 - 105.
(b - 30)*(b + 7)/2
Let w**4 - 7*w**2 - 6*w = 0. Calculate w.
-2, -1, 0, 3
What is s in 2*s**5 - 26*s**4 + 68*s**3 + 60*s**2 - 198*s - 162 = 0?
-1, 3, 9
Find p such that p**4/4 - 75*p**3/4 + 289*p**2/4 - 357*p/4 + 71/2 = 0.
1, 2, 71
Let -4*l**5 - 8*l**4 + 12*l**3 = 0. What is l?
-3, 0, 1
Solve 4*h**4/3 - 10*h**3/3 + 4*h**2/3 = 0.
0, 1/2, 2
Factor -2*u**3/3 - 44*u**2/3 - 14*u.
-2*u*(u + 1)*(u + 21)/3
Suppose 5*b**4 + 295*b**3 - 2735*b**2 - 3595*b + 6030 = 0. Calculate b.
-67, -2, 1, 9
Factor -5*j**4 + 70*j**3 + 980*j**2 - 13720*j.
-5*j*(j - 14)**2*(j + 14)
Factor 10*l**3/3 - 26*l**2/3 - 52*l/3 - 16/3.
2*(l - 4)*(l + 1)*(5*l + 2)/3
Let t**5/4 + 3*t**4/2 - 11*t**2/2 + 15*t/4 = 0. Calculate t.
-5, -3, 0, 1
Suppose q**5/6 + 4*q**4/3 + 5*q**3/6 - 25*q**2/3 = 0. Calculate q.
-5, 0, 2
Suppose 3*x**5/2 - 225*x**4/2 + 2883*x**3 - 26997*x**2 + 91575*x/2 - 43125/2 = 0. What is x?
1, 23, 25
Factor 2*s**2/5 - 64*s/5 + 54.
2*(s - 27)*(s - 5)/5
Factor 3*o**2/7 + 12*o - 87/7.
3*(o - 1)*(o + 29)/7
Let 2*q**3 - 4*q**2 - 320*q + 1792 = 0. What is q?
-14, 8
Solve -4*n**2 + 92*n/5 - 96/5 = 0 for n.
8/5, 3
Find f such that f*