2*(y + 2)/3
Find f such that -3*f**5 - 48*f**4 - 180*f**3 + 96*f**2 + 960*f = 0.
-10, -4, 0, 2
Solve 125*w**2/2 - 180*w - 45/2 = 0 for w.
-3/25, 3
Factor -4*o**2/3 - 61784*o/3 - 238578916/3.
-4*(o + 7723)**2/3
Solve -2*d**2/11 + 120*d - 19800 = 0 for d.
330
Factor i**3 - 76*i**2 - 155*i - 78.
(i - 78)*(i + 1)**2
Factor -2*z**4 + 4*z**3 + 62*z**2 + 56*z.
-2*z*(z - 7)*(z + 1)*(z + 4)
Solve -2*y**4/7 - 22*y**3 - 1254*y**2/7 + 72098*y/7 - 70688/7 = 0 for y.
-47, 1, 16
Factor 2*v**2/19 + 14*v/19 - 36/19.
2*(v - 2)*(v + 9)/19
Let o**5/6 - 2*o**3/3 - o**2/3 + o/2 + 1/3 = 0. What is o?
-1, 1, 2
Factor -6*h**3 + 105*h**2 + 57*h - 54.
-3*(h - 18)*(h + 1)*(2*h - 1)
Let 5*h**2 - 30110*h + 45330605 = 0. Calculate h.
3011
Let -2*h**2/3 + 214*h/3 + 72 = 0. What is h?
-1, 108
Solve -4*k**5 + 20*k**4 - 20*k**3 - 20*k**2 + 24*k = 0.
-1, 0, 1, 2, 3
Determine v so that -2*v**2 + 166*v - 2244 = 0.
17, 66
Suppose -15*v**5/2 - 21*v**4/2 - 3*v**3 = 0. Calculate v.
-1, -2/5, 0
Suppose -4*x**3/7 + 96*x**2/7 + 208*x/7 = 0. Calculate x.
-2, 0, 26
Factor -3*z**3 - 138*z**2 - 1395*z.
-3*z*(z + 15)*(z + 31)
Factor 76*w**2 - 136*w - 32.
4*(w - 2)*(19*w + 4)
Factor -5*w**3 + 5*w**2 + 25*w + 15.
-5*(w - 3)*(w + 1)**2
Factor -4*h**2 - 112*h + 1520.
-4*(h - 10)*(h + 38)
Suppose t**3 + 468*t**2 + 1395*t = 0. Calculate t.
-465, -3, 0
Factor -2*j**3 - 460*j**2 + 2*j + 460.
-2*(j - 1)*(j + 1)*(j + 230)
Find k, given that -3*k**3/8 + 23*k**2/4 - 57*k/8 + 7/4 = 0.
1/3, 1, 14
Factor -3*p**4/5 + 12*p**3/5 - 3*p**2 + 6*p/5.
-3*p*(p - 2)*(p - 1)**2/5
Suppose -m**4 - 43*m**3 - 630*m**2 - 3332*m - 2744 = 0. Calculate m.
-14, -1
Factor 4*f**3/7 - 124*f**2/7 + 712*f/7 - 960/7.
4*(f - 24)*(f - 5)*(f - 2)/7
Factor 5*d**4 - 60*d**3 + 135*d**2 + 20*d - 180.
5*(d - 9)*(d - 2)**2*(d + 1)
Suppose -2*z**2/13 - 3340*z/13 - 1394450/13 = 0. What is z?
-835
Suppose -3*j**4 - 354*j**3 + 14637*j**2 - 131784*j = 0. Calculate j.
-152, 0, 17
Let -b**4/2 - 63*b**3/2 + 67*b**2 + 126*b - 260 = 0. Calculate b.
-65, -2, 2
Solve 4*b**3 + 328*b**2 + 8432*b + 64736 = 0.
-34, -14
Suppose q**3 - 11*q**2 + 32*q - 28 = 0. Calculate q.
2, 7
Solve 2*p**4 + 2*p**3 - 16*p**2 - 24*p = 0 for p.
-2, 0, 3
Factor -f**2/2 + 21*f/2 - 19.
-(f - 19)*(f - 2)/2
Solve -2*x**4/9 + 34*x**2/9 - 32/9 = 0.
-4, -1, 1, 4
What is f in -f**4 - 13*f**3 - 57*f**2 - 95*f - 50 = 0?
-5, -2, -1
Factor -10*t**3/7 + 6*t**2/7 + 124*t/7 + 48/7.
-2*(t - 4)*(t + 3)*(5*t + 2)/7
Determine b so that -3*b**4 + 240*b**3 + 3768*b**2 + 16704*b + 20304 = 0.
-6, -2, 94
Find r such that -5*r**3 - 20*r**2 + 5*r + 20 = 0.
-4, -1, 1
Suppose 3*o**4 + 126*o**3 + 1764*o**2 + 8232*o = 0. What is o?
-14, 0
What is u in -5*u**5 - 35*u**4 - 70*u**3 - 10*u**2 + 75*u + 45 = 0?
-3, -1, 1
Factor -707281*f**4 - 10731160*f**3 - 61056600*f**2 - 154396000*f - 146410000.
-(29*f + 110)**4
Let 3*t**3 + 126*t**2 - 543*t + 414 = 0. Calculate t.
-46, 1, 3
Let 21*t**5 + 57*t**4 - 18*t**3 - 84*t**2 + 24*t = 0. What is t?
-2, 0, 2/7, 1
Find s such that 3*s**3 + 3153*s**2 + 830025*s + 826875 = 0.
-525, -1
Factor -6*q**2/11 - 40*q/11 + 14/11.
-2*(q + 7)*(3*q - 1)/11
Solve -135*p**4 + 1020*p**3 + 9520*p**2/3 + 3760*p/3 + 400/3 = 0 for p.
-2, -2/9, 10
Factor 2*c**2/5 + 194*c/5 + 564/5.
2*(c + 3)*(c + 94)/5
Let -28*i**5/5 - 1252*i**4/5 - 3708*i**3 - 17820*i**2 + 5400*i = 0. Calculate i.
-15, 0, 2/7
Solve 8*m**5/21 - 34*m**4/21 + 8*m**3/3 - 44*m**2/21 + 16*m/21 - 2/21 = 0.
1/4, 1
Factor 5*h**2 - 50*h + 45.
5*(h - 9)*(h - 1)
Determine g, given that -105125*g**3 + 732975*g**2 + 20280*g + 140 = 0.
-2/145, 7
Suppose i**4/2 + 3*i**3/2 - 23*i**2/2 + 33*i/2 - 7 = 0. Calculate i.
-7, 1, 2
Let -8*i**4 - 6*i**3 + 18*i**2 - 4*i = 0. What is i?
-2, 0, 1/4, 1
Suppose 5*z**4/3 + 23*z**3/3 + 4*z**2 = 0. Calculate z.
-4, -3/5, 0
Factor s**2/4 - 141*s/2 + 837/4.
(s - 279)*(s - 3)/4
Suppose 4*m**3 - 44*m**2 - 100*m - 52 = 0. Calculate m.
-1, 13
Factor -2*a**2 + 76*a - 144.
-2*(a - 36)*(a - 2)
Suppose 9*r**4 + 15*r**3 - 9*r**2 - 27*r - 12 = 0. What is r?
-1, 4/3
Factor 14*m**4 + 1144*m**3 + 23206*m**2 - 6724*m.
2*m*(m + 41)**2*(7*m - 2)
Suppose -u**5 + 4*u**4 - u**3 - 10*u**2 + 4*u + 8 = 0. What is u?
-1, 2
Suppose i**3/4 + 3*i**2 + 5*i = 0. Calculate i.
-10, -2, 0
Factor -4*k**2 - 976*k + 1968.
-4*(k - 2)*(k + 246)
Factor -c**5 + 47*c**4 + 49*c**3 - 47*c**2 - 48*c.
-c*(c - 48)*(c - 1)*(c + 1)**2
Solve x**2/6 - 91*x/2 - 275/3 = 0.
-2, 275
Factor -33*k**2 - 39*k - 6.
-3*(k + 1)*(11*k + 2)
Factor n**3/3 - 7*n**2/3 - 17*n/3 - 3.
(n - 9)*(n + 1)**2/3
Determine m, given that m**2/2 + 39*m/2 + 184 = 0.
-23, -16
Factor 5*x**2 + 175*x + 330.
5*(x + 2)*(x + 33)
Solve -2*p**3/11 + 3066*p**2/11 - 1566726*p/11 + 266865662/11 = 0.
511
Factor -y**2 + 84*y + 1045.
-(y - 95)*(y + 11)
Determine c, given that 2*c**2 + 7196*c + 6472802 = 0.
-1799
Suppose 3*k**4/5 + 318*k**3/5 + 7056*k**2/5 - 72846*k/5 + 29241 = 0. What is k?
-57, 3, 5
Factor 2*p**3 + 346*p**2 + 344*p.
2*p*(p + 1)*(p + 172)
Factor -4*w**2 - 104*w + 108.
-4*(w - 1)*(w + 27)
Determine d so that d**4 - 58*d**3 + 801*d**2 - 3240*d = 0.
0, 9, 40
Factor -5*u**3 + 1745*u**2 - 151375*u - 153125.
-5*(u - 175)**2*(u + 1)
Solve -x**5 + 2*x**4 - x**3 = 0 for x.
0, 1
Factor -2*x**3 - 46*x**2 - 254*x - 210.
-2*(x + 1)*(x + 7)*(x + 15)
Factor b**2/3 + 241*b/3 - 242/3.
(b - 1)*(b + 242)/3
Factor 2*t**2/5 - 82*t/5 + 836/5.
2*(t - 22)*(t - 19)/5
Factor 2*d**3/13 - 50*d**2/13 + 414*d/13 - 1134/13.
2*(d - 9)**2*(d - 7)/13
What is r in -531*r**3/5 - 1929*r**2/5 - 996*r/5 + 36/5 = 0?
-3, -2/3, 2/59
Factor -3*t**3 - 12*t**2 - 12*t.
-3*t*(t + 2)**2
Factor -3*d**2 + 582*d - 579.
-3*(d - 193)*(d - 1)
Solve -2*j**4/15 - 184*j**3/15 + 126*j**2/5 + 184*j/15 - 376/15 = 0.
-94, -1, 1, 2
Factor 3*a**2 - 186*a + 2883.
3*(a - 31)**2
Let 2*r**4/15 + 8*r**3/15 + 2*r**2/3 + 4*r/15 = 0. What is r?
-2, -1, 0
Determine q, given that q**2/7 + 78*q/7 - 79/7 = 0.
-79, 1
What is o in 4*o**2/3 + 176*o + 524/3 = 0?
-131, -1
Solve 3*i**2/2 - 417*i/2 = 0 for i.
0, 139
Suppose o**5/4 + 9*o**4 + 445*o**3/4 + 1269*o**2/2 + 1720*o + 1800 = 0. What is o?
-18, -5, -4
Find n such that -3*n**3/2 - 69*n**2/2 + 6*n + 138 = 0.
-23, -2, 2
Solve 65*k**4 - 3825*k**3 + 3050*k**2 + 8100*k + 1160 = 0.
-1, -2/13, 2, 58
Determine h so that -15*h**5 + 54*h**4 - 6*h**3 - 72*h**2 + 21*h + 18 = 0.
-1, -2/5, 1, 3
Let 3*p**5/7 + 3*p**4/7 - 12*p**3/7 - 12*p**2/7 = 0. What is p?
-2, -1, 0, 2
Solve b**5/3 - 7*b**4/3 + b**3 + 19*b**2/3 - 4*b/3 - 4 = 0.
-1, 1, 2, 6
Factor d**2/5 + 3*d/5 - 4/5.
(d - 1)*(d + 4)/5
Suppose 4*w**3 + 599*w**2 - 150*w = 0. What is w?
-150, 0, 1/4
Find t, given that -6627*t**3/2 + 20445*t**2/2 - 852*t + 18 = 0.
2/47, 3
Factor i**2/6 - 213*i/2 + 633.
(i - 633)*(i - 6)/6
Factor -105*u**4 + 204*u**3 - 93*u**2 - 6*u.
-3*u*(u - 1)**2*(35*u + 2)
Factor 10*k**3 + 44*k**2 - 304*k - 128.
2*(k - 4)*(k + 8)*(5*k + 2)
Factor 3*v**2/4 + 75*v/2.
3*v*(v + 50)/4
Factor 8*m**3 - 4*m**2.
4*m**2*(2*m - 1)
Factor -2*v**3/9 - 1522*v**2/9.
-2*v**2*(v + 761)/9
Let 2*d**4 + 1816*d**3 - 1820*d**2 - 1816*d + 1818 = 0. What is d?
-909, -1, 1
Solve -3*z**4 + 882*z**3 - 63039*z**2 - 262836*z - 266412 = 0 for z.
-2, 149
Find s, given that s**2 + 129*s = 0.
-129, 0
Factor -4*g**2 - 25768*g - 41499364.
-4*(g + 3221)**2
Solve 2*w**2/15 - 22*w/15 = 0.
0, 11
Factor -z**2 + 7*z - 6.
-(z - 6)*(z - 1)
Factor -6*c**5/13 - 62*c**4/13 - 18*c**3 - 378*c**2/13 - 216*c/13.
-2*c*(c + 3)**3*(3*c + 4)/13
Factor 3*z**4 + 72*z**3 + 189*z**2.
3*z**2*(z + 3)*(z + 21)
Determine y, given that -4*y**2 - 476*y + 480 = 0.
-120, 1
Find r, given that -2*r**2/7 - 32*r/7 + 34/7 = 0.
-17, 1
Find i, given that -5*i**5 - 80*i**4 - 195*i**3 = 0.
-13, -3, 0
Determine g so that 3*g**4 - 156*g**3 + 153*g**2 = 0.
0, 1, 51
Suppose -35*r**4 - 395*r**3 - 110*r**2 = 0. Calculate r.
-11, -2/7, 0
Factor 5*m**2 + 1040*m + 1035.
5*(m + 1)*(m + 207)
Suppose 3*u**3/2 + 24*u**2 - 264*u + 576 = 0. Calculate u.
-24, 4
Find u, given that -2*u**5/3 - 8*u**4/3 + 22*u**3/3 + 52*u**2/3 - 128*u/3 + 64/3 = 0.
-4, 1, 2
Determine w, given that 3*w**5/8 + 81*w**4/8 + 63*w**3 - 147*w**2/2 = 0.
-14, 0, 1
Determine n, given that 3*n**5/5 + 6*n**4/5 - 3*n**3/5 - 6*n**2/5 = 0.
-2, -1, 0, 1
Factor 5*n**4 + 30*n**3 - 255*n**2 + 220*n.
5*n*(n - 4)*(n - 1)*(n + 11)
Solve -2*j**5/3 + 16*j**4 + 170*j**3/3 - 72*j**2 =