3
Suppose 5*s**4 - 755*s**3 + 745*s**2 + 755*s - 750 = 0. What is s?
-1, 1, 150
Suppose -4*h**2 + 836*h - 832 = 0. Calculate h.
1, 208
Suppose 10*t**2/7 - 54*t/7 + 44/7 = 0. Calculate t.
1, 22/5
Factor -6*o**4/5 + 8*o**3/5 + 12*o**2/5 - 24*o/5 + 2.
-2*(o - 1)**3*(3*o + 5)/5
Factor -5*g**4 - 155*g**3 - 125*g**2 + 735*g - 450.
-5*(g - 1)**2*(g + 3)*(g + 30)
Suppose 2*m**2/3 - 362*m/3 - 244 = 0. Calculate m.
-2, 183
Factor -4*t**3 - 96*t**2 - 92*t.
-4*t*(t + 1)*(t + 23)
Factor w**5/4 - 7*w**4/4 + 2*w**3 + 4*w**2.
w**2*(w - 4)**2*(w + 1)/4
What is n in 605*n**5/7 - 2948*n**4/7 + 4909*n**3/7 - 2746*n**2/7 - 468*n/7 + 648/7 = 0?
-2/5, 1, 18/11
Determine u, given that -2*u**4/5 + 6*u**3/5 + 2*u**2 - 6*u/5 - 8/5 = 0.
-1, 1, 4
Suppose 2*q**3 - 22*q**2 + 52*q - 32 = 0. Calculate q.
1, 2, 8
Solve -18*u**3 + 285*u**2 + 687*u + 270 = 0.
-5/3, -1/2, 18
Suppose 3*f**3/4 - 9*f**2/2 + 15*f/4 + 9 = 0. Calculate f.
-1, 3, 4
Suppose -14*v**2 - 122*v + 36 = 0. What is v?
-9, 2/7
Factor -t**2 - 14*t - 24.
-(t + 2)*(t + 12)
Factor -2*l**3 - 722*l**2 - 1436*l.
-2*l*(l + 2)*(l + 359)
Determine b so that 3*b**3 - 231*b**2 + 4329*b + 4563 = 0.
-1, 39
Factor -54*k**5 + 53244*k**4 - 13071312*k**3 - 26284768*k**2 - 17554784*k - 3904576.
-2*(k - 494)**2*(3*k + 2)**3
Factor 5*d**4 + 285*d**3 + 5480*d**2 + 37200*d + 32000.
5*(d + 1)*(d + 16)*(d + 20)**2
Factor -f**4 + 51*f**3 - 282*f**2 + 548*f - 360.
-(f - 45)*(f - 2)**3
Suppose 27*d**5 - 630*d**4 + 2397*d**3 - 3414*d**2 + 2076*d - 456 = 0. Calculate d.
2/3, 1, 2, 19
Find x, given that 10*x**3/19 - 4*x**2 - 398*x/19 + 264/19 = 0.
-4, 3/5, 11
Factor -2*g**2/15 + 134*g/15 + 568/15.
-2*(g - 71)*(g + 4)/15
Determine p so that -9*p**2 + 16*p + 4 = 0.
-2/9, 2
Factor 3*m**2/2 + 909*m/4 + 453/4.
3*(m + 151)*(2*m + 1)/4
Find r, given that -18*r**2 - 96*r - 128 = 0.
-8/3
Determine c, given that -80*c**5 - 8920*c**4 + 22955*c**3 + 17560*c**2 - 12525*c + 1710 = 0.
-114, -1, 1/4, 3
Find k, given that 2*k**3 - 12*k**2 + 22*k - 12 = 0.
1, 2, 3
Let o**5 - o**4 - 9*o**3 + 5*o**2 + 16*o - 12 = 0. What is o?
-2, 1, 3
Let 4*c**3/5 + 12*c**2/5 - 52*c/5 - 12 = 0. What is c?
-5, -1, 3
Factor 4*c**2/3 - 13*c - 10/3.
(c - 10)*(4*c + 1)/3
Let -2*z**5 - 12*z**4 + 34*z**3 + 12*z**2 - 32*z = 0. What is z?
-8, -1, 0, 1, 2
Solve 2*m**3/11 + 6*m**2/11 - 26*m/11 - 30/11 = 0 for m.
-5, -1, 3
Factor -3*d**3 + 483*d**2 - 480*d.
-3*d*(d - 160)*(d - 1)
Factor -2*o**3/7 + 388*o**2/7 - 18818*o/7.
-2*o*(o - 97)**2/7
Factor 2*l**4/9 - 76*l**3/9 + 338*l**2/9 - 88*l/3.
2*l*(l - 33)*(l - 4)*(l - 1)/9
Solve 3*j**5 - 93*j**4 + 711*j**3 + 93*j**2 - 714*j = 0.
-1, 0, 1, 14, 17
Solve 28*k**5 - 148*k**4 - 156*k**3 + 196*k**2 + 128*k - 48 = 0.
-1, 2/7, 1, 6
Factor 4*u**2 - 44*u + 72.
4*(u - 9)*(u - 2)
Factor 2*v**4 - 38*v**3 - 234*v**2 - 162*v + 432.
2*(v - 24)*(v - 1)*(v + 3)**2
Determine x so that -30*x**3 + 115*x**2 - 70*x - 15 = 0.
-1/6, 1, 3
Let -3*a**3 - 6*a**2 + 12*a + 24 = 0. Calculate a.
-2, 2
Factor -5*r**3/6 - 1175*r**2/6 - 23205*r/2 - 22815/2.
-5*(r + 1)*(r + 117)**2/6
Determine w, given that -72*w**3 - 16220*w**2 - 12556*w + 3592 = 0.
-449/2, -1, 2/9
Find c, given that 413*c**4/2 - 125*c**3/2 + c**2 = 0.
0, 1/59, 2/7
Factor -z**2/6 + 6*z - 30.
-(z - 30)*(z - 6)/6
Factor -l**5 - 4*l**4 - 3*l**3.
-l**3*(l + 1)*(l + 3)
Let -2*i**2/3 - 16*i + 6674/3 = 0. What is i?
-71, 47
Find l such that 2*l**3 + 456*l**2 - 1382*l + 924 = 0.
-231, 1, 2
Factor 2*d**4/5 + 23*d**3/10 + 13*d**2/5 - 4*d/5.
d*(d + 2)*(d + 4)*(4*d - 1)/10
Solve z**2/2 + 103*z + 980 = 0 for z.
-196, -10
Factor 2*w**3/9 + 350*w**2/9 - 2*w/9 - 350/9.
2*(w - 1)*(w + 1)*(w + 175)/9
Suppose 4*s**4 - 108*s**3 - 4*s**2 + 108*s = 0. Calculate s.
-1, 0, 1, 27
Factor o**2 - 5920*o + 8761600.
(o - 2960)**2
Determine b so that -2*b**2 + 2610*b = 0.
0, 1305
Solve -p**2/8 + 3*p/2 - 27/8 = 0.
3, 9
Determine b, given that -2*b**5 - 4*b**4 + 2*b**3 + 4*b**2 = 0.
-2, -1, 0, 1
Find w such that 169*w**5 - 4511*w**4 + 2994*w**3 + 1244*w**2 + 104*w = 0.
-2/13, 0, 1, 26
Factor 2*j**2/13 - 24*j + 936.
2*(j - 78)**2/13
Factor -4*w**5 + 16*w**4 - 16*w**3 - 8*w**2 + 20*w - 8.
-4*(w - 2)*(w - 1)**3*(w + 1)
Find n, given that -5*n**5/2 - 195*n**4/2 - 1985*n**3/2 - 1425*n**2/2 + 1805*n = 0.
-19, -2, 0, 1
Solve -g**4/5 + 3*g**3/5 + 6*g**2 - 128*g/5 + 96/5 = 0.
-6, 1, 4
Find k such that 4*k**3/7 + 2*k**2 - 10*k/7 - 8/7 = 0.
-4, -1/2, 1
Find p such that 3*p**4/4 + 3*p**3 - 27*p**2/4 - 12*p + 15 = 0.
-5, -2, 1, 2
Factor 5*s**3 - 5*s**2 - 50*s - 40.
5*(s - 4)*(s + 1)*(s + 2)
Factor 45*j**3/7 - 267*j**2/7 + 207*j/7 + 15/7.
3*(j - 5)*(j - 1)*(15*j + 1)/7
Find u, given that -4*u**3 + 28*u**2 - 24*u = 0.
0, 1, 6
Find v, given that 2*v**2/3 + 880*v - 2642/3 = 0.
-1321, 1
Factor -2*t**4 + 58*t**3 - 320*t**2 - 1536*t.
-2*t*(t - 16)**2*(t + 3)
Suppose -j**5/6 + j**3/2 + j**2/3 = 0. Calculate j.
-1, 0, 2
Find u such that -2*u**3/3 + 545*u**2/3 - 272*u/3 = 0.
0, 1/2, 272
Let 2*y**5 - 18*y**4 - 740*y**3 + 13316*y**2 - 74910*y + 139150 = 0. What is y?
-23, 5, 11
Factor 3*c**3/4 + 39*c**2/4.
3*c**2*(c + 13)/4
Suppose 8*o**4/11 + 430*o**3/11 + 4764*o**2/11 - 28130*o/11 + 6728/11 = 0. Calculate o.
-29, 1/4, 4
Factor -2*i**2/11 - 972*i/11 + 4910/11.
-2*(i - 5)*(i + 491)/11
Suppose 2*p**4/7 + 170*p**3/7 + 3858*p**2/7 + 10414*p/7 + 6724/7 = 0. What is p?
-41, -2, -1
Factor -d**4 - 426*d**3 - 424*d**2 + 426*d + 425.
-(d - 1)*(d + 1)**2*(d + 425)
Find n, given that 2*n**2/3 - 218*n/3 - 220/3 = 0.
-1, 110
What is x in -3*x**4/4 + 5*x**3 - 41*x**2/4 + 5*x + 3 = 0?
-1/3, 2, 3
What is t in 21*t**4 - 90*t**3 - 396*t**2 + 1128*t - 288 = 0?
-4, 2/7, 2, 6
Find a such that 3*a**4 - 15*a**3 + 9*a**2 + 15*a - 12 = 0.
-1, 1, 4
Factor g**3 + 40*g**2 - 87*g - 126.
(g - 3)*(g + 1)*(g + 42)
Factor 21*m**4 + 1509*m**3 - 216*m**2.
3*m**2*(m + 72)*(7*m - 1)
Let 4*p**3/5 + p**2/5 = 0. What is p?
-1/4, 0
Find r such that 2*r**5/15 - 8*r**4/3 + 256*r**3/15 - 716*r**2/15 + 298*r/5 - 132/5 = 0.
1, 2, 3, 11
Factor 3*g**4 - 285*g**3 - 9*g**2 + 849*g + 570.
3*(g - 95)*(g - 2)*(g + 1)**2
Factor w**3/3 + 2*w**2/3.
w**2*(w + 2)/3
Let -55*b**3 - 120*b**2 - 75*b - 10 = 0. What is b?
-1, -2/11
Find g, given that -g**2 - 318*g + 319 = 0.
-319, 1
Suppose u**5 - u**4 - 10*u**3 + 4*u**2 + 24*u = 0. What is u?
-2, 0, 2, 3
Solve -2*v**3/3 - 142*v**2/3 + 2*v/3 + 142/3 = 0.
-71, -1, 1
Solve 21*n**5 - 6*n**4 - 168*n**3 + 48*n**2 + 336*n - 96 = 0 for n.
-2, 2/7, 2
Factor -3*c**3 - 45*c**2 - 69*c + 117.
-3*(c - 1)*(c + 3)*(c + 13)
Factor -y**2/5 - 41*y/5 - 264/5.
-(y + 8)*(y + 33)/5
Factor p**3/3 + 17*p**2/3 + 22*p/3 - 40.
(p - 2)*(p + 4)*(p + 15)/3
Factor -q**2/3 - 110*q/3.
-q*(q + 110)/3
Factor z**2 + 200*z + 10000.
(z + 100)**2
Let 2*n**4/9 - 268*n**3/9 - 272*n**2/9 + 268*n/9 + 30 = 0. Calculate n.
-1, 1, 135
Factor -o**3/6 + 46*o**2/3 - 971*o/6 + 440/3.
-(o - 80)*(o - 11)*(o - 1)/6
Factor 5*p**3 - 80*p**2 + 75*p.
5*p*(p - 15)*(p - 1)
Factor 2*y**5 + 14*y**4 - 6*y**3 - 38*y**2 + 28*y.
2*y*(y - 1)**2*(y + 2)*(y + 7)
Suppose -15*r**3 + 220*r**2 - 875*r + 490 = 0. Calculate r.
2/3, 7
Determine d so that 2*d**5/9 + 8*d**4/9 - 86*d**3/9 - 188*d**2/9 - 32*d/3 = 0.
-8, -1, 0, 6
Factor -2*f**2/9 - 4870*f/9 - 4868/9.
-2*(f + 1)*(f + 2434)/9
Find d, given that 4*d**4 + 57*d**3 - 114*d**2 - 32*d = 0.
-16, -1/4, 0, 2
Find l, given that l**4 - 280*l**3 + 18733*l**2 + 122694*l = 0.
-6, 0, 143
Factor 2*g**3 + 102*g**2 + 616*g.
2*g*(g + 7)*(g + 44)
Factor 2*i**2/21 - 90*i/7 + 264/7.
2*(i - 132)*(i - 3)/21
Factor 36*g**2 - 38568*g + 10329796.
4*(3*g - 1607)**2
Factor 98*s**4/15 + 154*s**3/15 + 64*s**2/15 + 8*s/15.
2*s*(s + 1)*(7*s + 2)**2/15
Factor y**3 - 1344*y**2 + 602112*y - 89915392.
(y - 448)**3
What is a in a**2/5 - 28*a/5 + 192/5 = 0?
12, 16
Find q, given that -q**4/5 - q**3/5 + 2*q**2/5 = 0.
-2, 0, 1
Let -4*w**2 - 232*w - 864 = 0. What is w?
-54, -4
Let -125*b**5 + 16775*b**4 - 52760*b**3 + 47288*b**2 - 16784*b + 2096 = 0. What is b?
2/5, 2, 131
Factor 2*p**3 - 500*p**2 + 32226*p - 121032.
2*(p - 123)**2*(p - 4)
Factor -y**2/4 + 723*y/2 - 522729/4.
-(y - 723)**2/4
Factor 7*j**3 + 339*j**2/4 + 198*j + 81/4.
(j + 3)*(j + 9)*(28*j + 3)/4
Find i such that -14*i**4/9 + 8*i**3/3 + 8*i**2/9 = 0.
-2/7, 0, 2
Factor -3*s**3/2 + 15*s**2/8 + 3*s/4 - 9/8.
-3*(s - 1)**2*(4*s + 3)/8
Let a**2 + 87*a + 252 = 0. What is a