.
-17, -2, 1
Find l, given that l**4/3 - l**3/3 - 5*l**2/3 - l = 0.
-1, 0, 3
Determine b so that -3*b**3/5 + 663*b**2/5 - 1968*b/5 + 1308/5 = 0.
1, 2, 218
Factor 3*l**2/2 + 3678*l + 2254614.
3*(l + 1226)**2/2
Solve 3*i**2 + 27*i/2 - 15/2 = 0.
-5, 1/2
Factor k**2 - 1489*k + 2974.
(k - 1487)*(k - 2)
Find y such that -3*y**5 + 72*y**3 + 78*y**2 - 261*y - 270 = 0.
-3, -1, 2, 5
Find k, given that 2*k**2/19 + 8*k/19 + 8/19 = 0.
-2
Factor 3*k**2 - 129*k - 132.
3*(k - 44)*(k + 1)
Determine l so that -l**5/5 - 12*l**4/5 - 4*l**3 + 2*l**2/5 + 21*l/5 + 2 = 0.
-10, -1, 1
Let 3*z**3 + 33*z**2 - 36*z = 0. Calculate z.
-12, 0, 1
Let 2*n**4 - 40*n**3 + 102*n**2 + 1008*n + 864 = 0. What is n?
-3, -1, 12
Factor 25*p**2/4 - 2135*p/4 + 425/2.
5*(p - 85)*(5*p - 2)/4
Determine p so that 2*p**2 + 2716*p + 922082 = 0.
-679
Suppose r**4/6 + 17*r**3/6 + 8*r**2/3 = 0. Calculate r.
-16, -1, 0
Determine k, given that 2*k**5 - k**4 - 31*k**3 + 3*k**2 + 117*k + 54 = 0.
-3, -2, -1/2, 3
Suppose 9*s**4 - 3*s**3 - 48*s**2 + 12*s + 48 = 0. Calculate s.
-2, -1, 4/3, 2
Factor -30*j**3 + 595*j**2 + 1420*j + 220.
-5*(j - 22)*(j + 2)*(6*j + 1)
Find q such that q**5/5 - 36*q**4 + 8278*q**3/5 - 3204*q**2 + 7921*q/5 = 0.
0, 1, 89
Factor -i**5 - 6*i**4 + 3*i**3 + 56*i**2 + 48*i.
-i*(i - 3)*(i + 1)*(i + 4)**2
Let 4*j**4 - 16*j**3 + 8*j**2 + 16*j - 12 = 0. What is j?
-1, 1, 3
What is z in -5*z**2 + 145*z - 140 = 0?
1, 28
Find j, given that -j**2/4 + 35*j/4 - 17/2 = 0.
1, 34
Let 756*k**4 - 552*k**3 - 196*k**2 - 8*k = 0. Calculate k.
-2/9, -1/21, 0, 1
Suppose 3*j**5/7 + 44*j**4/7 + 127*j**3/7 - 270*j**2/7 - 32*j/7 + 128/7 = 0. Calculate j.
-8, -2/3, 1
Factor 14*w**3/5 + 234*w**2/5 + 104*w - 168/5.
2*(w + 3)*(w + 14)*(7*w - 2)/5
Find p, given that p**4/3 + 16*p**3 - 105*p**2 + 482*p/3 - 72 = 0.
-54, 1, 4
Suppose 2*m**4/9 - 10*m**3/3 = 0. What is m?
0, 15
Solve -3*i**5 + 24*i**4 + 6*i**3 - 48*i**2 - 3*i + 24 = 0 for i.
-1, 1, 8
Solve -c**3 - 4*c**2 - 4*c = 0 for c.
-2, 0
Find h such that 2*h**3/3 - 8*h**2/3 - 58*h/3 - 16 = 0.
-3, -1, 8
Determine w, given that w**2/6 - 29*w/3 + 55/2 = 0.
3, 55
What is x in -9*x**3/4 + 21*x**2/2 + 135*x/4 + 21 = 0?
-4/3, -1, 7
Factor -y**4/5 + y**3/5 + 2*y**2/5.
-y**2*(y - 2)*(y + 1)/5
Factor -2*n**2 + 1618*n + 1620.
-2*(n - 810)*(n + 1)
Determine f, given that -55*f**5 - 265*f**4 + 765*f**3 - 515*f**2 + 70*f = 0.
-7, 0, 2/11, 1
What is r in -3*r**5/8 - 873*r**4/4 + 1749*r**3/8 = 0?
-583, 0, 1
Find d such that -18*d**2/25 - 118*d/25 + 56/25 = 0.
-7, 4/9
What is p in -2*p**2 + 108*p + 342 = 0?
-3, 57
Suppose -4*j**5 + 32*j**4 - 360*j**2 + 324*j + 648 = 0. Calculate j.
-3, -1, 3, 6
Factor 5*r**2 - 220*r + 2420.
5*(r - 22)**2
Factor 9*t**3/7 + 33*t**2/7 - 240*t/7 + 276/7.
3*(t - 2)**2*(3*t + 23)/7
Find p, given that 4*p**2 - 172*p + 168 = 0.
1, 42
Factor -6*k**2/11 - 2754*k/11 - 2748/11.
-6*(k + 1)*(k + 458)/11
Solve 3*s**5/4 - 141*s**4/4 + 270*s**3 - 510*s**2 - 132*s + 684 = 0.
-1, 2, 6, 38
What is k in -5*k**2 + 220*k - 420 = 0?
2, 42
Find y such that -3*y**5/4 + 21*y**4/2 - 51*y**3 + 195*y**2/2 - 225*y/4 = 0.
0, 1, 3, 5
Determine c, given that -3*c**5/5 - 69*c**4/5 + 12*c**3/5 + 276*c**2/5 = 0.
-23, -2, 0, 2
Factor 2*w**4 - 122*w**3 - 252*w**2.
2*w**2*(w - 63)*(w + 2)
Let 5*p**3 + 30*p**2 + 60*p + 40 = 0. What is p?
-2
Factor -2*g**4 + 78*g**3 + 260*g**2 - 336*g.
-2*g*(g - 42)*(g - 1)*(g + 4)
Suppose 3*g**5 - 63*g**4 + 339*g**3 - 657*g**2 + 378*g = 0. What is g?
0, 1, 3, 14
Suppose 3*j**2/8 + 915*j/4 = 0. Calculate j.
-610, 0
Factor 5*a**2 + 2950*a + 5880.
5*(a + 2)*(a + 588)
Factor 9*r**2/2 + 124*r + 182.
(r + 26)*(9*r + 14)/2
Find g such that -4*g**2 - 584*g = 0.
-146, 0
Find y such that 35*y**4 + 240*y**3 + 175*y**2 - 30*y = 0.
-6, -1, 0, 1/7
Find g such that 2*g**2 - 158*g - 324 = 0.
-2, 81
Suppose -x**3/3 - 22*x**2/3 + 47*x/3 - 8 = 0. Calculate x.
-24, 1
Find h such that 3*h**5 - 12*h**4 - 60*h**3 - 30*h**2 + 57*h + 42 = 0.
-2, -1, 1, 7
What is v in -v**2/2 - 73*v/2 + 324 = 0?
-81, 8
Factor 2*k**2/15 - 33064*k/15 + 136653512/15.
2*(k - 8266)**2/15
Determine h, given that -5*h**5 - 11*h**4 + 56*h**3/5 + 88*h**2/5 - 16*h + 16/5 = 0.
-2, 2/5, 1
Let 5*d**3 + 85*d**2 + 395*d + 315 = 0. What is d?
-9, -7, -1
Factor j**2 + 66*j + 1089.
(j + 33)**2
Find t, given that -2*t**3 - 10*t**2 - 12*t = 0.
-3, -2, 0
Factor -2*x**3/3 + 2*x**2 - 4*x/3.
-2*x*(x - 2)*(x - 1)/3
Factor 140*m**2 - 75*m + 10.
5*(4*m - 1)*(7*m - 2)
Factor n**2/3 + 505*n/3.
n*(n + 505)/3
Find w such that -4*w**2/7 - 936*w/7 + 940/7 = 0.
-235, 1
Factor 2*y**4/7 + 20*y**3 + 2584*y**2/7 + 4624*y/7.
2*y*(y + 2)*(y + 34)**2/7
Factor 4*b**3 + 10*b**2 - 112*b + 98.
2*(b - 1)*(b + 7)*(2*b - 7)
Factor -q**4 + 17*q**3 - 95*q**2 + 175*q.
-q*(q - 7)*(q - 5)**2
Solve -x**3 - 41*x**2 - 399*x + 441 = 0.
-21, 1
Let t**5 + 2*t**4 - 4*t**3 - 2*t**2 + 3*t = 0. What is t?
-3, -1, 0, 1
Let -x**4/4 - x**3 + 5*x**2/4 = 0. Calculate x.
-5, 0, 1
Let -4*m**2/9 + 68*m + 616/9 = 0. What is m?
-1, 154
Let 5*k**4 - 45*k**3 + 95*k**2 + 45*k - 100 = 0. Calculate k.
-1, 1, 4, 5
Find w such that -4*w**5 + 84*w**4 - 600*w**3 + 1664*w**2 - 1536*w = 0.
0, 2, 3, 8
Solve -3*g**4 + 3*g**3 + 15*g**2 + 9*g = 0 for g.
-1, 0, 3
Let 2*l**4/7 + 2*l**3 + 22*l**2/7 + 10*l/7 = 0. Calculate l.
-5, -1, 0
Suppose -3*p**3 + 15*p**2 = 0. What is p?
0, 5
Factor -2*k**3/3 - 26*k**2/3 - 20*k/3 + 16.
-2*(k - 1)*(k + 2)*(k + 12)/3
Factor 2*t**2/3 + 290*t/3 - 196.
2*(t - 2)*(t + 147)/3
Factor 4*d**2 - 12016*d + 9024016.
4*(d - 1502)**2
Determine y, given that 3*y**3 + 435*y**2 + 13629*y - 160083 = 0.
-77, 9
Factor -27*o**2/5 + 6*o.
-3*o*(9*o - 10)/5
Factor -g**3/2 - 5*g**2/2 + g + 12.
-(g - 2)*(g + 3)*(g + 4)/2
Find p such that -5*p**3 - 700*p**2 - 23785*p + 50410 = 0.
-71, 2
Suppose -3*n**2 + 570*n + 573 = 0. Calculate n.
-1, 191
Solve 4*h**3 - 596*h**2/5 + 200*h + 224/5 = 0.
-1/5, 2, 28
Factor -3*y**2 - 126*y + 129.
-3*(y - 1)*(y + 43)
Factor -o**2/4 + 133*o/4 + 245.
-(o - 140)*(o + 7)/4
Find d, given that 8*d**5 - 134*d**4 - 58*d**3 + 418*d**2 - 166*d - 68 = 0.
-2, -1/4, 1, 17
Factor w**2/3 - 10*w/3 + 8.
(w - 6)*(w - 4)/3
Let 3*i**2/4 + 729*i/4 - 183 = 0. Calculate i.
-244, 1
Solve 162*f**5/11 - 3636*f**4/11 + 21194*f**3/11 - 808*f**2 + 88*f = 0 for f.
0, 2/9, 11
What is g in 3*g**3/8 - 45*g**2/4 + 66*g = 0?
0, 8, 22
What is p in -2*p**4/7 - 24*p**3/7 - 102*p**2/7 - 176*p/7 - 96/7 = 0?
-4, -3, -1
Factor 4*h**3 + 44*h**2 + 76*h + 36.
4*(h + 1)**2*(h + 9)
Factor -2*d**3 - 2*d**2 + 32*d - 40.
-2*(d - 2)**2*(d + 5)
Suppose 3*h**3 - 357*h**2 - 360*h = 0. Calculate h.
-1, 0, 120
Suppose 3*s**3 - 9*s**2 - 66*s + 72 = 0. Calculate s.
-4, 1, 6
Suppose -2*m**3/9 - 40*m**2/9 - 136*m/9 - 128/9 = 0. What is m?
-16, -2
Factor -4*f**4 + 64*f**3 + 216*f**2 + 224*f + 76.
-4*(f - 19)*(f + 1)**3
Factor -5*v**4 - 45*v**3 - 15*v**2 + 185*v - 120.
-5*(v - 1)**2*(v + 3)*(v + 8)
Factor f**4/2 - 157*f**3 + 24333*f**2/2 + 24806*f + 12482.
(f - 158)**2*(f + 1)**2/2
Factor 2*g**2/3 - 3812*g/3 + 1816418/3.
2*(g - 953)**2/3
Factor q**4 + 7*q**3 - 163*q**2 + 605*q - 450.
(q - 5)**2*(q - 1)*(q + 18)
Suppose -2*k**2/11 + 10*k - 108/11 = 0. Calculate k.
1, 54
Let -3*i**3/7 + 138*i**2/7 - 1143*i/7 + 324 = 0. What is i?
3, 7, 36
Solve -3*t**3 - 4779*t**2 + 3*t + 4779 = 0.
-1593, -1, 1
Factor -x**2/3 - 16*x - 575/3.
-(x + 23)*(x + 25)/3
Let -k**3 - 114*k**2 - 3360*k - 6272 = 0. What is k?
-56, -2
What is v in 3*v**3 + 36*v**2 + 33*v = 0?
-11, -1, 0
Solve 7*g**2 - 3*g = 0 for g.
0, 3/7
Factor 3*g**5 - 9*g**3 + 6*g**2.
3*g**2*(g - 1)**2*(g + 2)
Find z, given that -2*z**4/5 - 12*z**3/5 - 18*z**2/5 + 8*z/5 + 24/5 = 0.
-3, -2, 1
What is v in -2*v**2/17 - 98*v/17 - 360/17 = 0?
-45, -4
Find f, given that -2*f**5/11 - 140*f**4/11 + 1066*f**3/11 - 988*f**2/11 - 4864*f/11 + 448 = 0.
-77, -2, 1, 4
Factor -q**3/4 - 31*q**2/2 - 961*q/4.
-q*(q + 31)**2/4
Factor -121*g**3 + 1221*g**2 - 1224*g + 324.
-(g - 9)*(11*g - 6)**2
Solve 5324*n**5 - 18392*n**4 - 181456*n**3 - 95008*n**2 - 17024*n - 1024 = 0 for n.
-4, -2/11, 8
Factor -18*j**2 - 147*j + 876.
-3*(j - 4)*(6*j + 73)
Solve 3*m**2/2 + 21*m/2 + 18 = 0 for m.
-4, -3
Determine h, given that 4*h**3 + 140*h**2 + 1052*h - 1196 = 0.
-23, -13, 1
Let 4*b**4 - 286*b**3 + 822*b**2 = 0. What is b?
0, 3, 137/2
Factor -3*q**2 - 21*q - 18.
-3*(q + 1)*(q + 6)
Find u, 