 6*j = 0. Calculate j.
-2, 0, 1, 3
What is a in 3*a**2/4 - 15*a/4 - 27 = 0?
-4, 9
Factor -3*h**4 + 42*h**3 + 93*h**2 + 48*h.
-3*h*(h - 16)*(h + 1)**2
What is x in -3*x**2 - 78*x = 0?
-26, 0
Determine m so that -3*m**3/5 - 336*m**2 = 0.
-560, 0
Factor -2*n**5/5 - 2*n**4/5 + 16*n**3/5 + 24*n**2/5.
-2*n**2*(n - 3)*(n + 2)**2/5
Determine i, given that -2*i**4 + 90*i**3 - 1312*i**2 + 6408*i - 5184 = 0.
1, 8, 18
Factor 2*b**3/11 - 8*b**2 + 250*b/11 - 164/11.
2*(b - 41)*(b - 2)*(b - 1)/11
Factor -2*l**3 + 28*l**2 - 50*l + 24.
-2*(l - 12)*(l - 1)**2
Determine w, given that -10*w**4 - 5*w**3 + 90*w**2 + 45*w = 0.
-3, -1/2, 0, 3
What is w in -w**2/2 - 1181*w/2 - 1179 = 0?
-1179, -2
Factor 4*h**5 + 72*h**4 - 628*h**3 + 1720*h**2 - 1968*h + 800.
4*(h - 2)**3*(h - 1)*(h + 25)
Factor -2*u**2/5 + 2108*u/5 - 555458/5.
-2*(u - 527)**2/5
Let 2*b**5/7 + 236*b**4/7 + 1142*b**3/7 + 1348*b**2/7 - 920*b/7 - 1808/7 = 0. Calculate b.
-113, -2, 1
Suppose -140*x**4 - 15*x**3 = 0. What is x?
-3/28, 0
Factor n**3/8 - n**2/8 - n/2 + 1/2.
(n - 2)*(n - 1)*(n + 2)/8
Determine r, given that -2*r**4/11 - 2*r**3/11 + 38*r**2/11 + 98*r/11 + 60/11 = 0.
-3, -2, -1, 5
Find n, given that -5*n**4 - 595*n**3 - 1150*n**2 + 2380*n + 4680 = 0.
-117, -2, 2
Suppose y**3/3 + 5*y**2 + 62*y/3 + 16 = 0. What is y?
-8, -6, -1
Factor -75*y**5 - 85*y**4 - 10*y**3.
-5*y**3*(y + 1)*(15*y + 2)
Factor 7*s**3/2 - 443*s**2/2 + 280*s - 62.
(s - 62)*(s - 1)*(7*s - 2)/2
Suppose -5*j**2 + 45*j + 110 = 0. What is j?
-2, 11
Factor -5*q**3 - 85*q**2 - 220*q - 140.
-5*(q + 1)*(q + 2)*(q + 14)
Find r such that -r**4 - 6*r**3 - 9*r**2 + 4*r + 12 = 0.
-3, -2, 1
Factor 4*y**5 - 12*y**4 + 8*y**3.
4*y**3*(y - 2)*(y - 1)
Factor -h**4/3 - 8*h**3 + 9*h**2 + 50*h/3.
-h*(h - 2)*(h + 1)*(h + 25)/3
Find n, given that 7*n**4/8 + 173*n**3/8 - 57*n**2/8 - 173*n/8 + 25/4 = 0.
-25, -1, 2/7, 1
Suppose m**4/6 + 4*m**3/3 - 17*m**2/6 - 34*m - 30 = 0. Calculate m.
-6, -1, 5
Factor 4*h**2 - 600*h + 22500.
4*(h - 75)**2
Factor 2*y**2 - 32*y + 78.
2*(y - 13)*(y - 3)
Factor -i**4/4 + 31*i**3/4 + 725*i**2/4 - 22707*i/4.
-i*(i - 29)**2*(i + 27)/4
Determine b so that -2*b**2/9 - 8*b - 70/9 = 0.
-35, -1
Find x such that x**5/2 + x**4/2 - 25*x**3/2 - 25*x**2/2 = 0.
-5, -1, 0, 5
Factor 2*u**4/9 + 8*u**3/9 - 32*u/9 - 32/9.
2*(u - 2)*(u + 2)**3/9
Find p, given that -p**4/4 + p**3/4 + 37*p**2/4 + 35*p/4 = 0.
-5, -1, 0, 7
Factor 50*x**4 + 85*x**3 - 30*x**2.
5*x**2*(x + 2)*(10*x - 3)
Suppose -2*d**4/7 - 8*d**3/7 - 6*d**2/7 = 0. What is d?
-3, -1, 0
Find q, given that -q**4/4 - 85*q**3/2 + 697*q**2/4 + 85*q/2 - 174 = 0.
-174, -1, 1, 4
Factor -r**4/6 + 7*r**3/6 - 13*r**2/6 - r/2 + 3.
-(r - 3)**2*(r - 2)*(r + 1)/6
Solve -8*z**5/7 - 66*z**4/7 - 32*z**3/7 + 36*z**2 - 104*z/7 - 6 = 0.
-7, -3, -1/4, 1
Solve 5*w**5 - 20*w**4 - 65*w**3 + 200*w**2 + 240*w = 0.
-3, -1, 0, 4
Factor -k**5/2 + k**4/2 + 7*k**3 + 13*k**2 + 19*k/2 + 5/2.
-(k - 5)*(k + 1)**4/2
Find j such that 4*j**3 - 612*j**2 = 0.
0, 153
Factor -5*t**2/3 - 40*t/3 - 35/3.
-5*(t + 1)*(t + 7)/3
Find f such that f**4/5 + 137*f**3/5 + 4337*f**2/5 - 24353*f/5 + 30246/5 = 0.
-71, 2, 3
Solve -c**5/3 + 17*c**4/3 - 95*c**3/3 + 175*c**2/3 = 0 for c.
0, 5, 7
What is t in 2*t**3/3 - 20*t**2/3 + 34*t/3 + 56/3 = 0?
-1, 4, 7
Factor -4*r**5/5 - 44*r**4/5 - 28*r**3/5 + 588*r**2/5.
-4*r**2*(r - 3)*(r + 7)**2/5
Let -4*m**2 - 12*m + 16 = 0. Calculate m.
-4, 1
Determine h so that 39*h**3 + 88*h**2 + 59*h + 10 = 0.
-1, -10/39
Factor -3*t**4 - 57*t**3 - 81*t**2 + 345*t - 204.
-3*(t - 1)**2*(t + 4)*(t + 17)
Let r**4/4 - r**3/4 - 3*r**2/4 + 5*r/4 - 1/2 = 0. Calculate r.
-2, 1
Factor -2*r**3/5 + 28*r**2 - 778*r/5 + 128.
-2*(r - 64)*(r - 5)*(r - 1)/5
Suppose 3*n**2 + 924*n = 0. Calculate n.
-308, 0
Factor -2*g**3/13 - 30*g**2/13 + 536*g/13 - 72.
-2*(g - 9)*(g - 2)*(g + 26)/13
Factor 2*n**4/5 - 4*n**3/5.
2*n**3*(n - 2)/5
Let 8*t**3/3 + 44*t**2 - 672*t - 1040/3 = 0. Calculate t.
-26, -1/2, 10
Factor -3*g**2 + 33*g - 30.
-3*(g - 10)*(g - 1)
Factor -3*s**3/5 + 261*s**2/5 + 54*s - 528/5.
-3*(s - 88)*(s - 1)*(s + 2)/5
What is x in -x**2 + 240*x - 14400 = 0?
120
Determine w so that w**5 + 414*w**4 - 417*w**3 - 830*w**2 = 0.
-415, -1, 0, 2
Factor h**2/2 + h - 3/2.
(h - 1)*(h + 3)/2
Factor -2*r**3/9 + 28*r**2/9 + 34*r/3.
-2*r*(r - 17)*(r + 3)/9
Suppose -5*a**4 - 40*a**3 + 175*a**2 + 1470*a = 0. Calculate a.
-7, 0, 6
Factor -3*w**2 + 75*w - 450.
-3*(w - 15)*(w - 10)
Factor 395*j**2 - 29620*j - 375.
5*(j - 75)*(79*j + 1)
Find g such that 1058*g**2/7 - 92*g/7 + 2/7 = 0.
1/23
Factor 5*r**4/4 + 25*r**3/2 + 5*r**2 - 105*r/2 + 135/4.
5*(r - 1)**2*(r + 3)*(r + 9)/4
Factor -7*q**3/5 + 2*q**2/5 + 7*q/5 - 2/5.
-(q - 1)*(q + 1)*(7*q - 2)/5
Factor -2*f**3/3 - 146*f**2/3 - 48*f.
-2*f*(f + 1)*(f + 72)/3
Determine u so that -45*u**3 + 205*u**2 - 235*u + 75 = 0.
5/9, 1, 3
Suppose -4*b**5 + 4*b**4 + 20*b**3 - 20*b**2 - 16*b + 16 = 0. Calculate b.
-2, -1, 1, 2
Suppose 14*b**2 - 24*b - 8 = 0. Calculate b.
-2/7, 2
Find c, given that -2*c**3/7 + 12022*c**2/7 - 18060048*c/7 - 18072072/7 = 0.
-1, 3006
Find w such that 2*w**2/9 + 2*w + 16/9 = 0.
-8, -1
Solve -3*q**2 - 534*q + 537 = 0 for q.
-179, 1
Find h, given that -4*h**5/3 - 16*h**4/3 + 20*h**3 + 184*h**2/3 - 176*h/3 - 160 = 0.
-5, -2, 2, 3
Determine z so that 10*z**5 + 144*z**4 + 746*z**3 + 1716*z**2 + 1656*z + 432 = 0.
-6, -3, -2, -2/5
Let 16*q**5/7 - 100*q**4/7 + 72*q**3/7 + 148*q**2/7 - 40*q/7 = 0. Calculate q.
-1, 0, 1/4, 2, 5
Factor -6*b**5 - 76*b**4/3 - 88*b**3/3 - 16*b**2/3.
-2*b**2*(b + 2)**2*(9*b + 2)/3
Solve 2*v**3/3 + 52*v**2/3 + 176*v/3 = 0 for v.
-22, -4, 0
Factor -b**3/5 - 23*b**2/5 - 43*b/5 - 21/5.
-(b + 1)**2*(b + 21)/5
Suppose -2*g**4/7 - 12*g**3/7 + 32*g**2/7 = 0. What is g?
-8, 0, 2
Determine j, given that 2*j**3/15 + 34*j**2/15 + 28*j/3 = 0.
-10, -7, 0
Factor -g**4/2 - 8*g**3 - 21*g**2 - 20*g - 13/2.
-(g + 1)**3*(g + 13)/2
Factor n**4/7 - 109*n**3/7 - 118*n**2/7 + 124*n + 1320/7.
(n - 110)*(n - 3)*(n + 2)**2/7
Factor -t**2 + 36*t + 76.
-(t - 38)*(t + 2)
Factor -x**4 - 11*x**3 - 35*x**2 - 25*x.
-x*(x + 1)*(x + 5)**2
Factor 2*b**5/9 + 2*b**4/3 + 2*b**3/3 + 2*b**2/9.
2*b**2*(b + 1)**3/9
Factor -20*d**3 - 684*d**2 + 2084*d + 444.
-4*(d - 3)*(d + 37)*(5*d + 1)
Let -27*x**5 - 804*x**4 - 1359*x**3 - 414*x**2 + 168*x = 0. What is x?
-28, -1, 0, 2/9
Factor 2*m**3/5 - 2*m**2/5.
2*m**2*(m - 1)/5
Solve 2*q**4/13 - 4*q**3/13 - 30*q**2/13 + 64*q/13 - 32/13 = 0.
-4, 1, 4
Solve -2*g**2/11 + 46*g/11 + 100/11 = 0 for g.
-2, 25
Factor -1681*d**2 + 29520*d - 129600.
-(41*d - 360)**2
Determine r so that 3*r**5 + 31*r**4 + 56*r**3 - 4*r**2 - 32*r = 0.
-8, -2, -1, 0, 2/3
Let 2*k**4 + 288*k**3 + 15552*k**2 + 373248*k + 3359232 = 0. Calculate k.
-36
Find w such that -w**5 - 6*w**4 - 9*w**3 - 4*w**2 = 0.
-4, -1, 0
Factor 2*x**3/9 - 256*x**2/3 + 8192*x.
2*x*(x - 192)**2/9
Determine y so that -6*y**3 - 2*y**2 + 112*y/3 - 32 = 0.
-3, 4/3
Factor -5*o**2 + 300*o - 580.
-5*(o - 58)*(o - 2)
Factor -2*i**2 + 2276*i - 4544.
-2*(i - 1136)*(i - 2)
Find t such that 4*t**4 + 8*t**3 - 12*t**2 - 16*t + 16 = 0.
-2, 1
Determine z, given that 6*z**3/5 + 2*z**2/5 - 38*z/5 + 6 = 0.
-3, 1, 5/3
Suppose -3*c**2 - 42*c - 135 = 0. What is c?
-9, -5
Factor 2*p**2/15 + 884*p/15.
2*p*(p + 442)/15
Factor -5*q**4 - 6080*q**3 - 2772480*q**2 - 561889280*q - 42703585280.
-5*(q + 304)**4
Factor -k**3/4 + 223*k**2/4 + k/4 - 223/4.
-(k - 223)*(k - 1)*(k + 1)/4
Factor -5*n**3 - 280*n**2 - 1060*n - 1040.
-5*(n + 2)**2*(n + 52)
Suppose -3*k**3/7 - 15*k**2/7 - 24*k/7 - 12/7 = 0. What is k?
-2, -1
Determine h so that -27*h**4 + 396*h**3 + 159*h**2 - 348*h - 180 = 0.
-2/3, 1, 15
Solve 2*h**4 - 90*h**3 = 0 for h.
0, 45
What is l in -l**4/4 + 31*l**2/4 + 15*l/2 = 0?
-5, -1, 0, 6
Determine j so that -j**3/2 - 7*j**2 - 16*j + 64 = 0.
-8, 2
Factor 5*l**3/4 - 65*l**2/2 + 245*l/4 - 30.
5*(l - 24)*(l - 1)**2/4
Find q such that -26*q**3 - 77*q**2 + 3*q = 0.
-3, 0, 1/26
Solve -98*h**3 + 97*h**2 + 197*h + 2 = 0 for h.
-1, -1/98, 2
Find y such that -57*y**4 - 173*y**3 - 177*y**2 - 63*y - 2 = 0.
-1, -2/57
Suppose -14*n**5 - 190*n**4 - 398*n**3 + 14*n**2 + 412*n + 176 = 0. What is n?
-11, -2, -1, -4/7, 1
Let -4*d**2 + 8180*d = 0. What is d?
0, 2045
Let -9*t**5/2 + 201*t**4/2 - 51*t**3/2 - 333*t**2/2 + 30*t + 66 = 0. What is t?
-1, -2/3, 1, 22
Suppose w**4 - w