t -93*r**4/7 + 375*r**3/7 + 1194*r**2/7 - 3744*r/7 - 4320/7 = 0.
-3, -30/31, 4
Determine j, given that -3*j**4/7 + 48*j**3/7 + 51*j**2/7 = 0.
-1, 0, 17
Factor 12*x**2 - 3*x - 42.
3*(x - 2)*(4*x + 7)
Let q**4/2 - 3*q**3 - 7*q**2/2 = 0. Calculate q.
-1, 0, 7
Find p such that -p**5 - 47*p**4 + 98*p**3 - 2*p**2 - 97*p + 49 = 0.
-49, -1, 1
Find f such that -f**5/3 - 2*f**4/3 + 17*f**3/3 + 6*f**2 - 24*f = 0.
-4, -3, 0, 2, 3
Factor -18*l**2 - 345*l - 57.
-3*(l + 19)*(6*l + 1)
Determine j so that 12*j**2 - 976*j + 324 = 0.
1/3, 81
Solve 10*f**3 - 604*f**2 + 9240*f - 3600 = 0 for f.
2/5, 30
Factor t**3/4 - 43*t**2/2 + 440*t + 968.
(t - 44)**2*(t + 2)/4
Factor r**2 + 27*r + 50.
(r + 2)*(r + 25)
Factor 12*h**4 + 182*h**3 + 786*h**2 + 714*h + 98.
2*(h + 1)*(h + 7)**2*(6*h + 1)
What is m in -m**2/3 - 3*m + 10/3 = 0?
-10, 1
Suppose i**2 + 320*i + 25600 = 0. What is i?
-160
Find y, given that -2*y**3/7 + 269*y**2/7 - 1174*y/7 + 520/7 = 0.
1/2, 4, 130
Factor 14*j**2/5 + 44*j/5 - 48/5.
2*(j + 4)*(7*j - 6)/5
Factor 5*x**2 - 1275*x.
5*x*(x - 255)
Find v, given that -3*v**2/2 + 6696*v - 7472736 = 0.
2232
Let 5*z**4 + 150*z**3 + 645*z**2 + 500*z = 0. Calculate z.
-25, -4, -1, 0
Factor -v**5/5 - 172*v**4 - 184038*v**3/5 + 74132*v**2 - 185761*v/5.
-v*(v - 1)**2*(v + 431)**2/5
Find b such that 3*b**4 - 78*b**3 + 327*b**2 + 2340*b + 2700 = 0.
-2, 15
Find w, given that w**5/5 + 2*w**4 - 28*w**3/5 - 46*w**2/5 + 27*w/5 + 36/5 = 0.
-12, -1, 1, 3
Solve -75*f**5 + 7455*f**4 - 10281*f**3 - 915*f**2 + 3228*f + 588 = 0.
-2/5, -1/5, 1, 98
Factor -5*w**4 + 70*w**3 - 125*w**2 + 60*w.
-5*w*(w - 12)*(w - 1)**2
Factor 2*n**2/7 + 214*n/7 + 60.
2*(n + 2)*(n + 105)/7
Solve -z**5 - z**4 + 9*z**3 - 11*z**2 + 4*z = 0.
-4, 0, 1
Factor -2*m**3/3 - 6*m**2 - 10*m - 14/3.
-2*(m + 1)**2*(m + 7)/3
Factor m**3/6 + 7*m**2/3 - m/6 - 7/3.
(m - 1)*(m + 1)*(m + 14)/6
Factor 2*j**5/17 + 30*j**4/17 + 96*j**3/17 - 128*j**2/17.
2*j**2*(j - 1)*(j + 8)**2/17
What is b in -b**3/5 + 37*b**2/5 - 36*b/5 = 0?
0, 1, 36
What is t in 3*t**4 + 87*t**3 + 747*t**2 + 1677*t + 1014 = 0?
-13, -2, -1
Factor -3*w**5/7 + 3*w**4/7 + 519*w**3/7 - 213*w**2 - 3360*w + 14700.
-3*(w - 7)**3*(w + 10)**2/7
Suppose 5*p**2 - 205*p + 200 = 0. What is p?
1, 40
Suppose m**4/5 + 13*m**3/5 + 32*m**2/5 - 112*m/5 - 384/5 = 0. What is m?
-8, -4, 3
Factor 2*i**3/5 - 44*i**2/5.
2*i**2*(i - 22)/5
Factor -2*l**5 + 112*l**4 - 1568*l**3.
-2*l**3*(l - 28)**2
Factor o**3 + 6*o**2 - o - 6.
(o - 1)*(o + 1)*(o + 6)
Determine m, given that m**5 + 7*m**4 + 11*m**3 - 19*m**2 - 60*m - 36 = 0.
-3, -2, -1, 2
What is u in -8*u**5/9 + 26*u**4/9 + 74*u**3/9 - 20*u**2/9 = 0?
-2, 0, 1/4, 5
Factor 2*c**2 - 68*c + 186.
2*(c - 31)*(c - 3)
Suppose -3*g**5 + 27*g**4 - 75*g**3 + 45*g**2 + 78*g - 72 = 0. Calculate g.
-1, 1, 2, 3, 4
Let -3*j**2/8 - 24*j - 189/8 = 0. Calculate j.
-63, -1
Factor -3*h**3 - 1050*h**2 + 2109*h - 1056.
-3*(h - 1)**2*(h + 352)
Find f, given that -3*f**3/2 + 711*f**2 - 112338*f + 5916468 = 0.
158
Let -2*b**4/7 + 4*b**2/7 - 2/7 = 0. Calculate b.
-1, 1
Factor 3*n**3 + 21*n**2 + 12*n - 36.
3*(n - 1)*(n + 2)*(n + 6)
Factor 2*v**3 - 118*v**2 - 1632*v - 5112.
2*(v - 71)*(v + 6)**2
Find c, given that 3*c**3 - 18*c**2 - 3*c + 90 = 0.
-2, 3, 5
Factor -5*q**2/2 - 4390*q - 1927210.
-5*(q + 878)**2/2
Find p, given that 4*p**3 + 752*p**2 + 34580*p - 72200 = 0.
-95, 2
Factor -2*f**2 - 10392*f + 10394.
-2*(f - 1)*(f + 5197)
Let 21*w**5 + 20168*w**4 + 4846069*w**3 + 1832642*w**2 - 2532480*w + 460800 = 0. Calculate w.
-480, -1, 2/7, 1/3
Solve 5*i**2/4 - 65*i/4 + 50 = 0 for i.
5, 8
Let -2*l**5/5 + 296*l**4/5 - 14394*l**3/5 + 43820*l**2 + 109000*l - 150000 = 0. Calculate l.
-3, 1, 50
What is g in -5*g**2 + 275*g = 0?
0, 55
Factor 15*i**4 + 29*i**3 + 13*i**2 - i.
i*(i + 1)**2*(15*i - 1)
Factor 2*w**4/3 - 196*w**3/3 + 5978*w**2/3 - 19208*w + 57624.
2*(w - 42)**2*(w - 7)**2/3
Suppose j**5 - 349*j**4/5 + 276*j**3/5 = 0. Calculate j.
0, 4/5, 69
Factor 7*w**4/4 + 71*w**3/2 + 173*w**2/4 + 19*w/2.
w*(w + 1)*(w + 19)*(7*w + 2)/4
Factor -2*t**4/5 + 62*t**3/5 + 64*t**2/5.
-2*t**2*(t - 32)*(t + 1)/5
Let p**2 + 5*p - 6 = 0. What is p?
-6, 1
Factor w**2 + 417*w - 1260.
(w - 3)*(w + 420)
Solve 22*w**5 + 146*w**4 + 290*w**3 + 70*w**2 - 312*w - 216 = 0.
-3, -2, -18/11, -1, 1
Factor 62*k**2 + 102*k + 40.
2*(k + 1)*(31*k + 20)
Find a such that -11*a**5 + 46*a**4 + 3*a**3 - 46*a**2 + 8*a = 0.
-1, 0, 2/11, 1, 4
Determine o, given that o**2/3 - 157*o/3 - 158/3 = 0.
-1, 158
Factor -a**3 + 36*a**2 - 185*a + 150.
-(a - 30)*(a - 5)*(a - 1)
Solve a**3 + 52*a**2 + 196*a + 192 = 0 for a.
-48, -2
Determine s, given that 5*s**2 + 85*s + 80 = 0.
-16, -1
Let -f**3 - 4160*f**2 + 8323*f - 4162 = 0. What is f?
-4162, 1
Factor -d**3 - 14*d**2 - 24*d.
-d*(d + 2)*(d + 12)
Let -4*r**3 + 912*r**2 + 1840*r = 0. What is r?
-2, 0, 230
Factor 2*b**2/5 - 62*b/5 + 116/5.
2*(b - 29)*(b - 2)/5
Factor -3*c**3/5 + 9*c**2 - 78*c/5.
-3*c*(c - 13)*(c - 2)/5
Find a, given that 99*a**3 - 1380*a**2 + 4767*a + 294 = 0.
-2/33, 7
Factor 2*q**4/5 + 30*q**3 + 576*q**2/5 + 568*q/5.
2*q*(q + 2)**2*(q + 71)/5
What is h in 2*h**2/13 - 3882*h/13 - 3884/13 = 0?
-1, 1942
Determine v so that 25*v**5/4 + 45*v**4/4 - 83*v**3/2 - 48*v**2 + 72*v = 0.
-12/5, 0, 1, 2
What is y in -105*y**5 + 670*y**4 - 710*y**3 - 120*y**2 + 215*y + 50 = 0?
-1/3, -2/7, 1, 5
Solve 164*a**3 - 1156*a**2 + 1040*a - 48 = 0.
2/41, 1, 6
What is s in 12*s**4 - 192*s**3 + 831*s**2 - 315*s - 1350 = 0?
-1, 2, 15/2
Determine p so that 2*p**3/13 - 30*p**2/13 + 100*p/13 = 0.
0, 5, 10
Factor f**4 + 7*f**3 + 11*f**2 + 5*f.
f*(f + 1)**2*(f + 5)
Factor 2*x**4 + 544*x**3 + 55488*x**2 + 2515456*x + 42762752.
2*(x + 68)**4
Find t, given that t**3/5 + 4*t**2/5 + 4*t/5 = 0.
-2, 0
Suppose -49*i**5 - 1596*i**4 + 4245*i**3 + 2812*i**2 + 420*i = 0. Calculate i.
-35, -2/7, 0, 3
Factor 3*h**2 - 228*h - 1215.
3*(h - 81)*(h + 5)
Suppose -r**3/2 - 9*r**2 - 41*r/2 + 30 = 0. What is r?
-15, -4, 1
Factor -2*i**3/7 + 498*i**2/7 - 41334*i/7 + 1143574/7.
-2*(i - 83)**3/7
Let -4*q**3/5 + 128*q**2/5 - 356*q/5 + 232/5 = 0. Calculate q.
1, 2, 29
Factor 5*p**5 - 25*p**4 + 15*p**3 + 25*p**2 - 20*p.
5*p*(p - 4)*(p - 1)**2*(p + 1)
Suppose 6*x**2 + 165*x + 81 = 0. Calculate x.
-27, -1/2
What is j in 5*j**4 + 330*j**3 + 2700*j**2 + 7830*j + 7695 = 0?
-57, -3
Suppose 4*i**4/5 + 114*i**3/5 + 158*i**2/5 - 108*i/5 = 0. Calculate i.
-27, -2, 0, 1/2
Determine k, given that -k**3/3 - 3*k**2 + 97*k/3 + 35 = 0.
-15, -1, 7
Determine y, given that 2*y**3 - 480*y**2 + 38400*y - 1024000 = 0.
80
Factor -y**4 - 6*y**3 + 131*y**2 + 276*y + 140.
-(y - 10)*(y + 1)**2*(y + 14)
Suppose -2*z**4/7 - 36*z**3 - 10386*z**2/7 - 22032*z - 749088/7 = 0. Calculate z.
-51, -12
Find z such that -2*z**2/15 - 184*z/5 = 0.
-276, 0
Factor t**3 - 24*t**2 - 25*t.
t*(t - 25)*(t + 1)
Determine v so that -2*v**5/5 + 12*v**3/5 + 16*v**2/5 + 6*v/5 = 0.
-1, 0, 3
Determine c so that -2*c**3/15 + 86*c**2/15 + 92*c/5 = 0.
-3, 0, 46
Determine i so that i**3/9 - 65*i**2/9 - 568*i/9 - 1168/9 = 0.
-4, 73
Factor -h**4/7 + 2*h**2/7 - 1/7.
-(h - 1)**2*(h + 1)**2/7
Find z, given that -4*z**3/3 - 740*z**2/3 + 4*z/3 + 740/3 = 0.
-185, -1, 1
Factor 45*m**4 - 125*m**3 + 60*m**2 + 20*m.
5*m*(m - 2)*(m - 1)*(9*m + 2)
Determine o so that 2*o**3/3 + 50*o**2/3 + 16*o = 0.
-24, -1, 0
Suppose 2*k**3 - 8*k**2 - 10*k = 0. What is k?
-1, 0, 5
Determine k, given that 3*k**5/8 - 27*k**4/8 + 15*k**3/2 + 15*k**2/2 - 36*k + 24 = 0.
-2, 1, 2, 4
Determine v so that v**5/2 + 37*v**4 - 467*v**3/2 + 514*v**2 - 478*v + 160 = 0.
-80, 1, 2
Factor -3*g**2 - 1194*g - 118803.
-3*(g + 199)**2
Find i such that 8*i**4 + 586*i**3/7 + 234*i**2/7 - 256*i/7 + 40/7 = 0.
-10, -1, 1/4, 2/7
Determine v, given that 6*v**3/7 + 40*v**2/7 - 62*v/7 + 16/7 = 0.
-8, 1/3, 1
Factor -2*w**3/17 - 112*w**2/17 - 218*w/17 - 108/17.
-2*(w + 1)**2*(w + 54)/17
Let -2*i**4/11 + 8*i**3/11 + 64*i**2/11 - 288*i/11 + 288/11 = 0. What is i?
-6, 2, 6
Factor -3*j**4 - 36*j**3 - 63*j**2 - 30*j.
-3*j*(j + 1)**2*(j + 10)
Factor -r**2/6 - 23*r/3 - 15/2.
-(r + 1)*(r + 45)/6
Determine d so that -2*d**2/13 + 188*d/13 - 4418/13 = 0.
47
Factor 4*j**2 - 53512*j + 178970884.
4*(j - 6689)**2
Suppose 2*x**5 + 11*x**4/2 + 5*x**3/2 - x**2 = 0. Calculate x.
-2, -1, 0, 1/4
Find z, given that -5*z**4 + 35*z**3 - 90*z**2 + 100*z - 40 