30*i**2 + 61*i = 0.
-122, 0, 2
Factor -h**3/3 - 314*h**2/3.
-h**2*(h + 314)/3
Let 200*t**5/3 - 210*t**4 - 1694*t**3 + 4820*t**2/3 + 9912*t + 2352 = 0. What is t?
-14/5, -1/4, 3, 6
Factor -81*h**3/2 + 82*h**2 - 2*h.
-h*(h - 2)*(81*h - 2)/2
Factor 2*d**4/3 + 170*d**3/3 + 1624*d**2 + 48608*d/3 + 43904/3.
2*(d + 1)*(d + 28)**3/3
Factor 2*z**2/19 - 28948*z/19 + 104748338/19.
2*(z - 7237)**2/19
Factor -29*v**2 + 110*v + 24.
-(v - 4)*(29*v + 6)
Factor 2*p**4 - 12*p**3 + 16*p**2 + 12*p - 18.
2*(p - 3)**2*(p - 1)*(p + 1)
Let -3*r**3/5 + 5*r**2 - 8*r/5 = 0. What is r?
0, 1/3, 8
Factor -3*s**2/4 - 15*s/2 + 18.
-3*(s - 2)*(s + 12)/4
Factor 9*c**3/2 - 17*c**2 + 14*c + 4.
(c - 2)**2*(9*c + 2)/2
Factor -w**3/2 - 8*w**2 - 26*w - 24.
-(w + 2)**2*(w + 12)/2
Determine p, given that 3*p**5 + 51*p**4 + 240*p**3 + 192*p**2 = 0.
-8, -1, 0
Find t, given that 2*t**3 + 30*t**2 + 112*t + 120 = 0.
-10, -3, -2
Factor 4*i**3 - 1492*i**2 - 4*i + 1492.
4*(i - 373)*(i - 1)*(i + 1)
Determine n, given that -5*n**5 - 45*n**4 + 30*n**3 + 310*n**2 + 375*n + 135 = 0.
-9, -1, 3
Let -2*o**2/15 + 104*o/15 + 512/5 = 0. What is o?
-12, 64
Factor -3*b**4/2 - 3*b**3 + 3*b**2/2 + 3*b.
-3*b*(b - 1)*(b + 1)*(b + 2)/2
Solve -4*f**3 - 32*f**2 + 884*f + 912 = 0 for f.
-19, -1, 12
Solve 3*a**2 - 1794*a + 268203 = 0.
299
Factor -15*p**3/2 + 1595*p**2/2 - 790*p.
-5*p*(p - 1)*(3*p - 316)/2
Factor -2*g**2/3 + 64*g + 198.
-2*(g - 99)*(g + 3)/3
Let o**5 + 18*o**4 + 116*o**3 + 322*o**2 + 363*o + 140 = 0. Calculate o.
-7, -5, -4, -1
Find l, given that -l**4 - 20*l**3 - 77*l**2 + 242*l = 0.
-11, 0, 2
Find q such that -2*q**2/7 + 4*q + 190/7 = 0.
-5, 19
Find o such that -5*o**2 + 7100*o - 2520500 = 0.
710
Find r, given that 5*r**3 + 540*r**2 + 15600*r + 54080 = 0.
-52, -4
Find n, given that 5*n**5 - 20*n**4 + 10*n**3 + 20*n**2 - 15*n = 0.
-1, 0, 1, 3
Let -3*m**4/7 + 2280*m**3/7 - 430914*m**2/7 - 868680*m/7 - 435483/7 = 0. Calculate m.
-1, 381
Find n, given that -n**2 + 32*n + 68 = 0.
-2, 34
Factor 5*v**2/2 + 35*v/2 + 25.
5*(v + 2)*(v + 5)/2
Suppose 110*t**4 + 787*t**3 - 762*t**2 - 143*t + 8 = 0. What is t?
-8, -1/5, 1/22, 1
Factor -3*y**2/4 - 5913*y/4 + 1479.
-3*(y - 1)*(y + 1972)/4
Factor -324*z**4/7 + 5256*z**3/7 - 21892*z**2/7 + 4672*z/7 - 256/7.
-4*(z - 8)**2*(9*z - 1)**2/7
Solve 4*w**2 + 5364*w - 5368 = 0 for w.
-1342, 1
Factor 4*q**2 - 84*q.
4*q*(q - 21)
Determine u so that 2*u**2/13 - 420*u/13 + 22050/13 = 0.
105
Factor -2*b**2/7 + 50*b/7 + 300/7.
-2*(b - 30)*(b + 5)/7
Find n, given that -n**4 + 183*n**3 - 8463*n**2 + 8281*n = 0.
0, 1, 91
Factor -3*g**5/5 - 21*g**4/5 - 9*g**3 - 27*g**2/5.
-3*g**2*(g + 1)*(g + 3)**2/5
Factor o**2 - 38*o - 80.
(o - 40)*(o + 2)
Let -3*k**5/2 + 181*k**4/2 - 204*k**3 + 58*k**2 = 0. Calculate k.
0, 1/3, 2, 58
Find p such that -4*p**2 + 128*p - 348 = 0.
3, 29
Factor -18*d**3 + 1102*d**2 - 244*d.
-2*d*(d - 61)*(9*d - 2)
Suppose -x**5/6 - 3*x**4/2 - 3*x**3/2 + 49*x**2/6 - 5*x = 0. What is x?
-6, -5, 0, 1
Solve 16*f**5 - 132*f**4 + 384*f**3 - 472*f**2 + 240*f - 36 = 0.
1/4, 1, 3
Determine d, given that -d**4/4 - 15*d**3/4 - 81*d**2/4 - 185*d/4 - 75/2 = 0.
-5, -3, -2
Factor -u**4/4 + 5*u**3/4 + 7*u**2/4 - 5*u/4 - 3/2.
-(u - 6)*(u - 1)*(u + 1)**2/4
Factor -2*q**4 + 2*q**3 + 14*q**2 - 26*q + 12.
-2*(q - 2)*(q - 1)**2*(q + 3)
Find d, given that 2*d**3/7 + 384*d**2/7 + 24282*d/7 + 506844/7 = 0.
-78, -57
Determine t so that -5*t**5 + 25*t**4/2 + 45*t**3/2 - 45*t**2 = 0.
-2, 0, 3/2, 3
Determine d so that -5*d**5 + 175*d**4/4 - 95*d**3/4 - 935*d**2/4 - 785*d/4 - 35 = 0.
-1, -1/4, 4, 7
Factor 2*s**2 + 18*s - 44.
2*(s - 2)*(s + 11)
Factor 2*d**4/15 - 22*d**3/15 + 14*d**2/3 - 10*d/3.
2*d*(d - 5)**2*(d - 1)/15
Determine b, given that b**2 + 4*b - 12 = 0.
-6, 2
Solve 3*l**2 - 84*l - 180 = 0.
-2, 30
Factor -2*j**3/11 + 936*j**2/11 - 146016*j/11 + 7592832/11.
-2*(j - 156)**3/11
What is a in a**2/2 - 917*a/2 - 919 = 0?
-2, 919
Suppose -4*x**3 + 272*x**2 - 5632*x + 36864 = 0. What is x?
16, 36
Solve -4*z**3 - 660*z**2 - 36300*z - 665500 = 0.
-55
Factor -h**4/3 - 2*h**3 + 8*h**2/3 + 2*h - 7/3.
-(h - 1)**2*(h + 1)*(h + 7)/3
Suppose -2*y**3 + 64*y**2 - 650*y + 2028 = 0. What is y?
6, 13
Factor -w**5 - 2*w**4 + 7*w**3 - 4*w**2.
-w**2*(w - 1)**2*(w + 4)
Solve -w**4/3 + 52*w**3/3 = 0.
0, 52
Factor 3*o**5 - 51*o**4 + 282*o**3 - 570*o**2 + 483*o - 147.
3*(o - 7)**2*(o - 1)**3
Find r, given that -r**3 - 197*r**2 - 775*r - 579 = 0.
-193, -3, -1
Determine g, given that -25*g**5 + 5*g**4 + 116*g**3 - 16*g**2 - 64*g - 16 = 0.
-2, -2/5, 1, 2
Factor 4*c**3 - 8*c**2 - 116*c + 120.
4*(c - 6)*(c - 1)*(c + 5)
Let -2*d**5/5 - 14*d**4/5 - 34*d**3/5 - 34*d**2/5 - 12*d/5 = 0. What is d?
-3, -2, -1, 0
Suppose u**3/3 + 4*u**2/3 - 11*u/3 - 10 = 0. What is u?
-5, -2, 3
Solve -14*d**5 - 214*d**4 + 192*d**3 + 520*d**2 + 128*d = 0.
-16, -1, -2/7, 0, 2
Let 2*i**4/3 + 32*i**3/3 + 10*i**2 = 0. What is i?
-15, -1, 0
Suppose g**3 - 8*g**2 - 65*g = 0. What is g?
-5, 0, 13
Let -5*o**4 - 540*o**3 - 15110*o**2 - 28620*o - 14045 = 0. Calculate o.
-53, -1
Factor -z**2/2 - 24*z - 288.
-(z + 24)**2/2
Find a, given that -3*a**3/2 - 11*a**2 - 5*a/2 + 7 = 0.
-7, -1, 2/3
Solve p**4/7 + 4*p**3/7 - 48*p**2/7 + 16*p - 80/7 = 0.
-10, 2
Solve 3*x**4/4 + 99*x**3/2 + 321*x**2 + 1341*x/2 + 1593/4 = 0 for x.
-59, -3, -1
Factor 192*f**4 - 17136*f**3 - 12924*f**2 - 3237*f - 270.
3*(f - 90)*(4*f + 1)**3
Determine k so that -2*k**2/5 + 5292*k/5 - 3500658/5 = 0.
1323
Suppose -36*b**4/5 - 507*b**3/5 + 9*b**2/5 + 702*b/5 - 168/5 = 0. What is b?
-14, -4/3, 1/4, 1
Let 3*f**5/2 + 63*f**4/8 - 153*f**3/8 - 21*f**2/4 = 0. Calculate f.
-7, -1/4, 0, 2
Determine b so that 3*b**2 - 699*b + 4746 = 0.
7, 226
Suppose -f**4/2 - 8*f**3 - 53*f**2/2 + 35*f = 0. Calculate f.
-10, -7, 0, 1
Determine n, given that 10*n**4/3 - 214*n**3/3 + 1064*n**2/3 - 1592*n/3 + 160 = 0.
2/5, 2, 4, 15
Suppose y**5/5 - 2*y**4 - 5*y**3 + 2*y**2 + 24*y/5 = 0. What is y?
-2, -1, 0, 1, 12
Determine k so that k**4/2 - 5*k**3/2 + 4*k**2 - 2*k = 0.
0, 1, 2
Factor -2*w**3/7 + 2*w**2/7 + 32*w/7 + 40/7.
-2*(w - 5)*(w + 2)**2/7
Let -2*s**5 - 4*s**4 + 188*s**3 + 184*s**2 - 906*s + 540 = 0. What is s?
-10, -3, 1, 9
Solve -k**2 - 2*k + 24 = 0.
-6, 4
Find s such that 2*s**5/7 - 10*s**4/7 - 2*s**3/7 + 58*s**2/7 - 24*s/7 - 72/7 = 0.
-2, -1, 2, 3
Let -52*k**5 - 684*k**4 + 676*k**3 + 796*k**2 - 624*k - 112 = 0. Calculate k.
-14, -1, -2/13, 1
Solve -110*g**3 - 152*g**2 + 218*g + 44 = 0.
-11/5, -2/11, 1
Factor -b**5/7 + 15*b**4 - 630*b**3 + 13230*b**2 - 138915*b + 583443.
-(b - 21)**5/7
Suppose -144*u**5 - 7052*u**4 - 6708*u**3 + 584*u**2 + 384*u = 0. What is u?
-48, -1, -2/9, 0, 1/4
Solve -3*s**4 + 113*s**3 - 479*s**2 + 567*s - 198 = 0.
2/3, 1, 3, 33
Determine o, given that 2*o**4/5 - 4*o**3/5 - 278*o**2/5 - 224*o/5 + 312 = 0.
-10, -3, 2, 13
Suppose 5*l**3 - 240*l**2 + 1680*l + 31360 = 0. What is l?
-8, 28
Determine r, given that -3*r**5/7 - 708*r**4/7 - 61920*r**3/7 - 2332800*r**2/7 - 28512000*r/7 + 155520000/7 = 0.
-60, 4
Let -2*m**3/13 - 160*m**2/13 = 0. What is m?
-80, 0
Let -d**5 + 45*d**4 = 0. What is d?
0, 45
Let 3*x**3 - 576*x**2 + 573*x = 0. Calculate x.
0, 1, 191
Factor -3*i**3/7 + 423*i**2/7 - 837*i/7 + 417/7.
-3*(i - 139)*(i - 1)**2/7
Factor 8*g**2 + 2076*g + 1036.
4*(g + 259)*(2*g + 1)
Let -2*f**3/13 - 718*f**2/13 - 64798*f/13 - 64082/13 = 0. What is f?
-179, -1
Factor -2*b**3/9 - 20*b**2/3 + 422*b/9 - 40.
-2*(b - 5)*(b - 1)*(b + 36)/9
Determine v so that -9*v**4 - 354*v**3 - 3357*v**2 + 2520*v + 1200 = 0.
-20, -1/3, 1
Factor 2*x**4/13 + 54*x**3/13 + 378*x**2/13 + 1026*x/13 + 972/13.
2*(x + 3)**3*(x + 18)/13
Let 2*s**5/11 + 78*s**4/11 - 80*s**3/11 = 0. Calculate s.
-40, 0, 1
Solve -5*z**2 + 120*z = 0.
0, 24
Factor -2*y**2/5 - 78*y/5 + 16.
-2*(y - 1)*(y + 40)/5
Factor -m**2/3 + 44*m/3 - 41.
-(m - 41)*(m - 3)/3
Let 4*o**4 - 36*o**3 + 24*o**2 + 64*o = 0. Calculate o.
-1, 0, 2, 8
Determine b so that 5*b**3 + 35*b**2 - 90*b = 0.
-9, 0, 2
Factor 3*z**4 + 1131*z**3 + 2253*z**2 + 1125*z.
3*z*(z + 1)**2*(z + 375)
Find f, given that f**4/12 + 49*f**3/6 + 193*f**2/12 + 8*f = 0.
-96, -1, 0
Factor -2*u**4 - 4*u**3 + 6*u**2 + 8*u - 8.
-2*(u - 1)**2*(u + 2)**2
Factor 5*s**3 - 40*s**2 + 100*s - 80.
5*(s - 4)*(s - 2)**2
Find a such that -a**5 - 21*a**4 + 45*a**3 - 23*a**2 = 0.
-23, 0, 1
Factor -5*f**4 + 55*f