hat is p?
-22, -7, 4/3
Solve -m**2/4 - 27*m + 1053/4 = 0 for m.
-117, 9
Suppose l**3 - 7*l**2 - 8*l = 0. What is l?
-1, 0, 8
Factor -5*y**3 - 190*y**2 + 5*y + 190.
-5*(y - 1)*(y + 1)*(y + 38)
Let -5*h**4 + 2155*h**3 - 311025*h**2 + 15234505*h - 29242070 = 0. What is h?
2, 143
Suppose -32*l**2/7 + 221*l/7 + 3 = 0. Calculate l.
-3/32, 7
Factor -q**3/4 - 19*q**2/4 - 25*q - 33.
-(q + 2)*(q + 6)*(q + 11)/4
Determine i, given that 4*i**2/3 + 65*i/3 + 21/2 = 0.
-63/4, -1/2
Find m such that -2*m**5/3 - 140*m**4/3 + 244*m**3 - 1336*m**2/3 + 1046*m/3 - 100 = 0.
-75, 1, 2
Let -2*s**5/5 + 6*s**4/5 + 58*s**3/5 - 126*s**2/5 - 56*s/5 + 24 = 0. Calculate s.
-5, -1, 1, 2, 6
Solve r**3/9 + 4*r**2/9 + 5*r/9 + 2/9 = 0.
-2, -1
Determine f, given that -3*f**4 + 27*f**3 - 39*f**2 - 27*f + 42 = 0.
-1, 1, 2, 7
Suppose l**4/3 - 3*l**3 - 19*l**2 + 65*l/3 = 0. What is l?
-5, 0, 1, 13
Factor w**2 + 1528*w + 583696.
(w + 764)**2
Factor -3*d**4 - 1302*d**3 - 189216*d**2 - 9331200*d - 17915904.
-3*(d + 2)*(d + 144)**3
Find h such that 76*h**3 + 16*h**2 - 76*h - 16 = 0.
-1, -4/19, 1
Factor 2*q**3/21 - 22*q**2/21 + 20*q/21.
2*q*(q - 10)*(q - 1)/21
Factor 2*d**2/11 + 1360*d/11 + 5408/11.
2*(d + 4)*(d + 676)/11
Factor -1520832*d**2 - 12816*d - 27.
-3*(712*d + 3)**2
Factor 5*o**3 + 20*o**2 + 25*o + 10.
5*(o + 1)**2*(o + 2)
Find p such that 2*p**5/7 - 2*p**4/7 - 12*p**3/7 + 8*p**2/7 + 16*p/7 = 0.
-2, -1, 0, 2
Find x, given that x**4/4 + 5*x**3/2 + 2*x**2 - 5*x/2 - 9/4 = 0.
-9, -1, 1
Determine p so that -p**4/4 + 9*p**3/2 - 81*p**2/4 = 0.
0, 9
Let -6*t**5 - 56*t**4 - 152*t**3 - 64*t**2 + 128*t = 0. What is t?
-4, -2, 0, 2/3
Factor 3*t**2 - 8694*t + 6298803.
3*(t - 1449)**2
Factor a**2 - 240*a + 14400.
(a - 120)**2
Factor 3*s**4 - 6*s**3 + 6*s - 3.
3*(s - 1)**3*(s + 1)
Factor -3*k**2/4 + 27*k/4.
-3*k*(k - 9)/4
Determine g so that -5*g**4 + 380*g**3 - 3150*g**2 + 9180*g - 9045 = 0.
3, 67
Factor -4*f**3 - 28*f**2 - 8*f + 160.
-4*(f - 2)*(f + 4)*(f + 5)
Factor -2*h**4/5 + 22*h**3 - 108*h**2/5.
-2*h**2*(h - 54)*(h - 1)/5
Factor -4*d**4/5 + 44*d**3/5 - 8*d**2.
-4*d**2*(d - 10)*(d - 1)/5
Let -5*f**2 - 890*f - 885 = 0. What is f?
-177, -1
Find i, given that -4*i**5 - 216*i**4 - 388*i**3 + 1440*i**2 - 832*i = 0.
-52, -4, 0, 1
Factor -2*g**2/5 + 48*g/5 - 88/5.
-2*(g - 22)*(g - 2)/5
Suppose z**5/3 + z**4/3 - 2*z**3 + 2*z**2/3 + 5*z/3 - 1 = 0. What is z?
-3, -1, 1
Find q such that -5*q**4/4 - 185*q**3/2 + 1565*q**2/4 + 185*q/2 - 390 = 0.
-78, -1, 1, 4
Determine c, given that c**2/2 - 15*c + 72 = 0.
6, 24
Suppose 2*y**3/3 - 344*y**2/3 + 12922*y/3 + 165620/3 = 0. Calculate y.
-10, 91
Factor 5*l**5 - 10*l**4 - 25*l**3 + 30*l**2.
5*l**2*(l - 3)*(l - 1)*(l + 2)
Factor -2*y**3/7 + 12*y**2/7 - 22*y/7 + 12/7.
-2*(y - 3)*(y - 2)*(y - 1)/7
Factor 4*d**2 + 888*d/7 - 256/7.
4*(d + 32)*(7*d - 2)/7
Solve 2*f**4/19 + 10*f**3/19 - 50*f**2/19 - 10*f/19 + 48/19 = 0 for f.
-8, -1, 1, 3
Find y such that y**4 - 206*y**3 + 809*y**2 - 196*y - 1212 = 0.
-1, 2, 3, 202
Factor h**3 - 24*h**2 + 41*h + 66.
(h - 22)*(h - 3)*(h + 1)
What is z in -z**3/8 - 55*z**2/2 - 651*z/8 = 0?
-217, -3, 0
Factor -h**4/6 - 7*h**3/6.
-h**3*(h + 7)/6
Factor -981*d**4/5 + 195*d**3 + 6*d**2/5.
-3*d**2*(d - 1)*(327*d + 2)/5
Solve d**5/6 - 9*d**4/2 + 151*d**3/6 - 75*d**2/2 + 50*d/3 = 0.
0, 1, 5, 20
Find l such that -2*l**2 - 146*l - 552 = 0.
-69, -4
Factor 5*x**3/4 - 45*x/4.
5*x*(x - 3)*(x + 3)/4
Factor 9*o**3 - 390*o**2 + 129*o.
3*o*(o - 43)*(3*o - 1)
Let -a**4 - 140*a**3 - 5668*a**2 - 53760*a - 147456 = 0. Calculate a.
-64, -6
Determine o so that 2*o**4 + 22*o**3/3 + 10*o**2/3 - 2*o = 0.
-3, -1, 0, 1/3
Factor 3*v**4 - 4986*v**3 + 2757240*v**2 - 504544950*v - 1538584875.
3*(v - 555)**3*(v + 3)
Factor 2*c**5 + 22*c**4 + 76*c**3 + 104*c**2 + 48*c.
2*c*(c + 1)*(c + 2)**2*(c + 6)
Factor 5*t**3 + 45*t**2.
5*t**2*(t + 9)
Factor 504*l**3 + 1052*l**2 + 84*l - 8.
4*(l + 2)*(7*l + 1)*(18*l - 1)
Suppose b**3/6 - 7*b**2/6 - 241*b/6 + 247/6 = 0. What is b?
-13, 1, 19
Let q**4/7 - 3*q**3 - 477*q**2/7 - 317*q - 252 = 0. What is q?
-7, -1, 36
Factor -i**3/4 + 5*i**2/4 - 2*i + 1.
-(i - 2)**2*(i - 1)/4
Suppose 2*o**3/13 + 16*o**2/13 - 2*o - 280/13 = 0. What is o?
-7, -5, 4
Suppose -2*g**3/9 - 46*g**2/9 + 910*g/3 - 2650 = 0. Calculate g.
-53, 15
Factor q**2/2 - 89*q + 7921/2.
(q - 89)**2/2
Factor -2*q**3/9 - 26*q**2/3 + 104*q/9 + 320/3.
-2*(q - 4)*(q + 3)*(q + 40)/9
Let 14*h**2/15 + 332*h/15 - 32/5 = 0. Calculate h.
-24, 2/7
Factor -i**2 - 23*i - 22.
-(i + 1)*(i + 22)
Solve 2*i**3/9 + 190*i**2/9 - 472*i/3 + 136 = 0.
-102, 1, 6
What is v in v**2/4 - 11*v/2 = 0?
0, 22
Find g, given that -g**3/4 + 13*g**2/4 + g/4 - 13/4 = 0.
-1, 1, 13
Suppose 2*h**3/19 - 18*h**2/19 + 54*h/19 - 54/19 = 0. What is h?
3
Find n, given that 3*n**2 + 84*n + 396 = 0.
-22, -6
What is a in 2*a**2/9 + 70*a/9 + 44/3 = 0?
-33, -2
Determine u so that 2*u**5/5 + 16*u**4/5 + 26*u**3/5 - 52*u**2/5 - 128*u/5 - 64/5 = 0.
-4, -1, 2
Factor 2*c**4 - 10*c**3 - 12*c**2 + 64*c + 64.
2*(c - 4)**2*(c + 1)*(c + 2)
Suppose 2*j**3/23 - 6*j**2/23 + 6*j/23 - 2/23 = 0. What is j?
1
Factor 6*o**5 - 68*o**4 + 240*o**3 - 192*o**2 - 256*o.
2*o*(o - 4)**3*(3*o + 2)
Suppose z**4/2 - z**2 + 1/2 = 0. Calculate z.
-1, 1
Factor 4*m**5/5 - 428*m**4/5 - 872*m**3/5.
4*m**3*(m - 109)*(m + 2)/5
Factor 5*u**4 - 25*u**3 - 65*u**2 - 35*u.
5*u*(u - 7)*(u + 1)**2
Suppose 2*k**5/9 - 122*k**4/9 - 2*k**3/9 + 122*k**2/9 = 0. Calculate k.
-1, 0, 1, 61
Factor -2*u**4/21 + 88*u**3/21 - 430*u**2/7 + 300*u.
-2*u*(u - 15)**2*(u - 14)/21
Determine c so that -c**4/2 + 4*c**3/3 + 4*c**2/3 - 16*c/3 + 8/3 = 0.
-2, 2/3, 2
Factor -5*v**4 + 145*v**3 + 465*v**2 + 475*v + 160.
-5*(v - 32)*(v + 1)**3
Factor -v**5 - 21*v**4 - 19*v**3 + 21*v**2 + 20*v.
-v*(v - 1)*(v + 1)**2*(v + 20)
Determine x so that 3*x**4 - 318*x**3 + 2700*x**2 - 7938*x + 7857 = 0.
3, 97
Factor -h**4/8 - 81*h**3/8 - 2013*h**2/8 - 14735*h/8 - 11025/4.
-(h + 2)*(h + 9)*(h + 35)**2/8
Suppose -3*g**2/7 - 372*g/7 - 1089/7 = 0. What is g?
-121, -3
Find c, given that 7*c**4/4 + 53*c**3/4 + 29*c**2 + 13*c - 12 = 0.
-4, -2, 3/7
Let 3*z**4/4 - 33*z**3/2 + 117*z**2/4 + 33*z/2 - 30 = 0. What is z?
-1, 1, 2, 20
What is l in -l**4/10 + l**2/10 = 0?
-1, 0, 1
Find a such that -6*a**5 - 122*a**4 - 808*a**3 - 1792*a**2 - 512*a = 0.
-8, -4, -1/3, 0
Factor -n**2/4 + 166*n - 27556.
-(n - 332)**2/4
What is q in 2*q**3 - 32*q**2 + 58*q - 28 = 0?
1, 14
Solve -5*u**3 + 60*u**2 + 515*u + 450 = 0.
-5, -1, 18
Find f such that 2*f**5 + 2*f**4 - 246*f**3 - 946*f**2 + 1652*f + 2352 = 0.
-7, -1, 2, 12
Suppose 3*i**4 - 21*i**3 - 90*i**2 - 12*i + 120 = 0. Calculate i.
-2, 1, 10
Factor 8*n**4 + 60*n**3 + 153*n**2/2 + 27*n.
n*(n + 6)*(4*n + 3)**2/2
Find p such that -2*p**3 + 278*p**2 - 9520*p - 9800 = 0.
-1, 70
Factor -j**2 + 16*j - 15.
-(j - 15)*(j - 1)
Factor 5*x**2 - 28320*x + 40101120.
5*(x - 2832)**2
Solve -36*d**4 + 630*d**3 - 2546*d**2 - 1620*d + 800 = 0.
-5/6, 1/3, 8, 10
Let -3*d**3/4 + 27*d**2 + 3*d/4 - 27 = 0. What is d?
-1, 1, 36
Factor -a**3 - 700*a**2 + 1403*a - 702.
-(a - 1)**2*(a + 702)
Factor -2*y**2/3 + 2*y + 20/3.
-2*(y - 5)*(y + 2)/3
Find u such that 3*u**4 - 171*u**3 + 1095*u**2 - 2277*u + 1350 = 0.
1, 3, 50
Let 98*w**4/5 - 420*w**3 + 4362*w**2/5 + 3016*w/5 + 456/5 = 0. Calculate w.
-2/7, 3, 19
Let -5*o**3 + 1395*o**2 + 5*o - 1395 = 0. Calculate o.
-1, 1, 279
Factor -o**2/7 - 660*o/7 + 2656/7.
-(o - 4)*(o + 664)/7
Factor 4*z**4 - 72*z**3 + 132*z**2 - 64*z.
4*z*(z - 16)*(z - 1)**2
Factor 5*l**2/2 - 185*l/2 + 715.
5*(l - 26)*(l - 11)/2
Factor f**2/2 + 3489*f + 12173121/2.
(f + 3489)**2/2
Let 2*y**5 - y**4 - 14*y**3 + 19*y**2 - 6*y = 0. Calculate y.
-3, 0, 1/2, 1, 2
Solve 20*v**4/7 - 116*v**3/7 - 324*v**2/7 - 220*v/7 - 32/7 = 0.
-1, -1/5, 8
Factor 2*u**5 + 40*u**4/3 - 14*u**3/3.
2*u**3*(u + 7)*(3*u - 1)/3
Factor 98*s**3 - 4*s**2.
2*s**2*(49*s - 2)
Find q such that q**5 - 7*q**4 - 347*q**3 + 3743*q**2 - 2678*q - 6760 = 0.
-20, -1, 2, 13
Factor y**4/5 + 566*y**3/5 + 80652*y**2/5 + 159048*y/5.
y*(y + 2)*(y + 282)**2/5
Factor -5*b**2/6 - 5*b/3 + 40.
-5*(b - 6)*(b + 8)/6
Let 4*g**2 - 84*g + 392 = 0. What is g?
7, 14
What is v in 8*v**5/3 + 14*v**4/3 - 10*v**3/3 - 4*v**2 = 0?
-2, -3/4, 0, 1
Suppose 4*n**2 + 16*n = 0. What is n?
-4, 0
Solve -4*y**5 + 20*y**4 - 20*y**3 - 20*y**2 + 24*y = 0 for y.
-1, 0, 1,