te g.
-982, 0
Factor 2*g**3 + 2836*g**2 - 2*g - 2836.
2*(g - 1)*(g + 1)*(g + 1418)
Factor -2*g**2 - 46*g - 152.
-2*(g + 4)*(g + 19)
Determine m so that 5*m**4 + 260*m**3 + 2660*m**2 = 0.
-38, -14, 0
Let 4*i**4/3 - 16*i**3/3 - 8*i**2 + 16*i/3 + 20/3 = 0. What is i?
-1, 1, 5
Factor 5*r**2 + 3700*r - 7420.
5*(r - 2)*(r + 742)
Solve 4*v**5/5 - 3*v**4 + 4*v**3/5 + 18*v**2/5 - 8*v/5 - 3/5 = 0.
-1, -1/4, 1, 3
Find q, given that -3*q**3/2 - 9*q**2 + 27*q/2 + 21 = 0.
-7, -1, 2
Factor -h**5/4 - h**4/4 + 3*h**3/4 + 5*h**2/4 + h/2.
-h*(h - 2)*(h + 1)**3/4
Factor -3*d**4 + 126*d**3 - 1020*d**2 - 7038*d + 7935.
-3*(d - 23)**2*(d - 1)*(d + 5)
Find m, given that -5*m**3 + 405*m**2 - 1560*m + 1540 = 0.
2, 77
Factor -4*f**3 + 256*f**2 - 3312*f.
-4*f*(f - 46)*(f - 18)
Solve 11*a**2/2 - 37*a/2 - 14 = 0.
-7/11, 4
Determine x so that -x**2/2 - 19*x - 36 = 0.
-36, -2
Solve -u**4/4 + 81*u**3/2 - 1599*u**2 - 3362*u = 0.
-2, 0, 82
Factor -3*x**2 - 2874*x - 688323.
-3*(x + 479)**2
Factor 3*d**2 + 4821*d + 4818.
3*(d + 1)*(d + 1606)
What is v in v**3/4 - 53*v**2/4 + 851*v/4 - 3703/4 = 0?
7, 23
Let -20*p**5 - 15*p**4 + 425*p**3 + 795*p**2 - 225*p = 0. What is p?
-3, 0, 1/4, 5
What is x in 76*x**4 + 372*x**3 - 40*x**2 = 0?
-5, 0, 2/19
Suppose 4*y**3 + 34004*y**2 + 72249996*y - 72284004 = 0. What is y?
-4251, 1
Factor -2*j**2/3 - 156*j + 470/3.
-2*(j - 1)*(j + 235)/3
Solve -3*p**3 - 198*p**2 + 207*p + 402 = 0 for p.
-67, -1, 2
Factor 3*d**4 - 15*d**3 - 27*d**2 + 243*d - 324.
3*(d - 3)**3*(d + 4)
What is a in a**4/2 - 3*a**3 + 5*a**2/2 = 0?
0, 1, 5
Suppose -5*h**3 + 15*h**2 + 140*h = 0. Calculate h.
-4, 0, 7
Solve -d**3/2 - 33*d**2/2 - 10*d + 192 = 0.
-32, -4, 3
Find j, given that -2*j**5/11 + 56*j**4/11 - 490*j**3/11 + 1396*j**2/11 - 1536*j/11 + 576/11 = 0.
1, 2, 12
Factor 4*v**2 - 392*v - 396.
4*(v - 99)*(v + 1)
Determine h, given that -5*h**2 - 250*h - 1680 = 0.
-42, -8
Factor z**2/2 - 99*z + 9801/2.
(z - 99)**2/2
Solve 45*o**5/2 + 13*o**4 - 211*o**3 - 116*o**2 + 153*o/2 - 9 = 0.
-3, -1, 1/5, 2/9, 3
Factor -r**3 + 12*r**2 - 17*r - 90.
-(r - 9)*(r - 5)*(r + 2)
Factor 2*l**4/5 - 2*l**3/5 - 12*l**2/5.
2*l**2*(l - 3)*(l + 2)/5
Suppose 625*t**4 + 58375*t**3 + 23150*t**2 - 9340*t - 3720 = 0. Calculate t.
-93, -2/5, 2/5
Let -5*y**3 - 15*y**2 + 5*y + 15 = 0. Calculate y.
-3, -1, 1
Factor -5*n**3 - 105*n**2 - 400*n.
-5*n*(n + 5)*(n + 16)
Factor n**3/7 - 4*n**2/7 + 3*n/7.
n*(n - 3)*(n - 1)/7
Suppose -k**2 - 621*k - 620 = 0. What is k?
-620, -1
Factor 4*i**4 + 36*i**3 + 92*i**2 + 60*i.
4*i*(i + 1)*(i + 3)*(i + 5)
Find o such that -2*o**5/15 + 14*o**4/15 - 12*o**3/5 + 8*o**2/3 - 16*o/15 = 0.
0, 1, 2
Factor 3*j**3 + 138*j**2 - 147*j - 282.
3*(j - 2)*(j + 1)*(j + 47)
Let 4*w**2/7 - 3896*w + 6640732 = 0. Calculate w.
3409
Solve -3*z**2 + 57*z + 126 = 0.
-2, 21
Determine k, given that -2*k**4/7 - 60*k**3/7 - 226*k**2/7 + 504*k - 3240/7 = 0.
-18, 1, 5
Factor 2*t**4 - 8*t**3 - 24*t**2 + 64*t + 128.
2*(t - 4)**2*(t + 2)**2
Factor 2*j**2/3 - 224*j.
2*j*(j - 336)/3
Let 2*k**3 - 4*k**2 - 146*k - 140 = 0. What is k?
-7, -1, 10
Factor -140*w**2 + 145*w - 5.
-5*(w - 1)*(28*w - 1)
Solve 5*u**5 - 825*u**4 - 3360*u**3 - 3380*u**2 = 0.
-2, 0, 169
Suppose -3*s**4 - 54*s**3 - 300*s**2 - 378*s + 735 = 0. Calculate s.
-7, -5, 1
Let -128*f**5/15 - 9632*f**4/15 - 177506*f**3/15 + 140906*f**2/15 + 43472*f/15 + 2888/15 = 0. Calculate f.
-38, -1/8, 1
Factor s**2/4 + 607*s/2 - 1215/4.
(s - 1)*(s + 1215)/4
What is d in -2*d**3 - 33*d**2 - 15*d + 16 = 0?
-16, -1, 1/2
Solve 3*a**4 + 9*a**3 - 99*a**2 + 159*a - 72 = 0 for a.
-8, 1, 3
Let -i**4 - 78*i**3 - 224*i**2 + 78*i + 225 = 0. What is i?
-75, -3, -1, 1
Factor 6*a**2 - 27*a - 243.
3*(a - 9)*(2*a + 9)
Let -80*o**3 + 1024*o**2 - 21364*o/5 + 28812/5 = 0. Calculate o.
3, 49/10
Find w, given that -6*w**3/11 - 10926*w**2/11 - 4968594*w/11 + 4979526/11 = 0.
-911, 1
Factor -4*z**3 + 16*z**2 + 28*z - 40.
-4*(z - 5)*(z - 1)*(z + 2)
Solve 2*i**2 + 1118*i + 4440 = 0.
-555, -4
Factor -2*d**2/9 - 50*d/9 + 56/3.
-2*(d - 3)*(d + 28)/9
Suppose 2*z**2/11 - 4520*z/11 + 2553800/11 = 0. What is z?
1130
Find n such that -n**3/5 + 83*n**2/5 - 616*n/5 + 240 = 0.
4, 75
Factor 4*t**4 - 24*t**3 + 36*t**2 - 16*t.
4*t*(t - 4)*(t - 1)**2
Determine y so that 8*y**5 - 118*y**4 + 354*y**3 + 608*y**2 + 128*y = 0.
-1, -1/4, 0, 8
Let -3*s**4/2 + 9*s**3 - 39*s**2/2 + 18*s - 6 = 0. Calculate s.
1, 2
Factor 5*n**4 + 105*n**3 - 225*n**2 + 115*n.
5*n*(n - 1)**2*(n + 23)
Factor 2*h**4/3 - 50*h**3 - 52*h**2 + 304*h/3.
2*h*(h - 76)*(h - 1)*(h + 2)/3
Suppose v**2/5 - 1/5 = 0. What is v?
-1, 1
Determine f, given that -118*f**4 - 116*f**3 + 120*f**2 + 116*f - 2 = 0.
-1, 1/59, 1
Determine a so that -3*a**5/7 - 6*a**4/7 + 39*a**3/7 + 6*a**2 - 72*a/7 = 0.
-4, -2, 0, 1, 3
Factor y**3/3 + 9*y**2 + 14*y - 200/3.
(y - 2)*(y + 4)*(y + 25)/3
Solve -6*t**4/11 + 50*t**3/11 + 60*t**2/11 - 560*t/11 - 384/11 = 0.
-3, -2/3, 4, 8
Suppose -39*o**4 - 450*o**3 + 216*o**2 = 0. Calculate o.
-12, 0, 6/13
Factor -2*c**3/7 + 10*c**2/7 + 4*c/7 - 48/7.
-2*(c - 4)*(c - 3)*(c + 2)/7
Determine l so that -l**3 - 4*l**2 - 4*l = 0.
-2, 0
Solve 280*o**4 + 155*o**3 + 15*o**2 = 0.
-3/7, -1/8, 0
Determine p so that -2*p**2 - 166*p + 516 = 0.
-86, 3
Determine h, given that h**4/10 - 11*h**3/10 + 7*h**2/2 - 5*h/2 = 0.
0, 1, 5
Factor -4*w**3/5 + 16*w/5.
-4*w*(w - 2)*(w + 2)/5
Factor -v**3/3 + 4*v**2 + v/3 - 4.
-(v - 12)*(v - 1)*(v + 1)/3
Factor 4*z**5 - 4*z**4 - 8*z**3.
4*z**3*(z - 2)*(z + 1)
Factor -b**2/2 + 283*b/2 + 285.
-(b - 285)*(b + 2)/2
Factor -p**2/4 + 11*p/2 - 57/4.
-(p - 19)*(p - 3)/4
Find j, given that 2*j**3/15 + 8*j**2/5 + 58*j/15 + 12/5 = 0.
-9, -2, -1
Determine k, given that -5*k**3 - 120*k**2 - 220*k = 0.
-22, -2, 0
What is h in 4*h**4 - 1068*h**3 - 3240*h**2 - 16*h + 4320 = 0?
-2, 1, 270
Suppose 2*y**4 - 112*y**3/9 + 74*y**2/3 - 152*y/9 + 8/3 = 0. Calculate y.
2/9, 1, 2, 3
Factor 2*m**2 + 38*m.
2*m*(m + 19)
Determine w so that 2*w**2/9 + 170*w/9 - 364/3 = 0.
-91, 6
Determine d so that 2*d**2/15 + 898*d/15 - 60 = 0.
-450, 1
Factor -3*s**2 - 9*s + 54.
-3*(s - 3)*(s + 6)
Factor f**3/5 + 2*f**2 + 23*f/5 + 14/5.
(f + 1)*(f + 2)*(f + 7)/5
Solve 2*r**4/9 - 20*r**3/9 + 16*r**2/3 - 44*r/9 + 14/9 = 0.
1, 7
Determine f, given that 3*f**2 + 2226*f + 412923 = 0.
-371
What is j in -3*j**5 + 186*j**4 - 2628*j**3 - 10056*j**2 + 66048*j - 73728 = 0?
-6, 2, 32
Determine r so that r**4 - 281*r**3 + 26226*r**2 - 804076*r - 830584 = 0.
-1, 94
Suppose 2*o**5/7 + 2*o**4/7 - 26*o**3/7 - 2*o**2/7 + 24*o/7 = 0. What is o?
-4, -1, 0, 1, 3
Factor p**5/2 - 1251*p**4/2 + 521667*p**3/2 - 72511713*p**2/2.
p**2*(p - 417)**3/2
Factor -g**2/4 - 34*g - 1156.
-(g + 68)**2/4
Factor -2*f**4/7 - 18*f**3/7 + 96*f**2/7 - 104*f/7.
-2*f*(f - 2)**2*(f + 13)/7
Solve -q**5/3 - 19*q**4/3 - 39*q**3 - 87*q**2 - 54*q = 0 for q.
-9, -6, -3, -1, 0
What is c in c**2/2 - 27*c/2 + 85 = 0?
10, 17
Factor 5*i**2 - 25*i - 330.
5*(i - 11)*(i + 6)
Factor 3*i**2/7 + 141*i/7 + 396/7.
3*(i + 3)*(i + 44)/7
Factor -2*w**3 - 442*w**2 - 878*w - 438.
-2*(w + 1)**2*(w + 219)
Find u, given that -u**5/5 + 2*u**4/5 = 0.
0, 2
Factor -p**2/3 - 10*p/3 - 7.
-(p + 3)*(p + 7)/3
Find n, given that -2*n**4/21 + 8*n**3/7 + 8*n**2/21 - 32*n/7 = 0.
-2, 0, 2, 12
Find j, given that 12*j**2 + 8*j = 0.
-2/3, 0
Find m such that m**3/4 - 37*m/4 + 21 = 0.
-7, 3, 4
Find u such that u**4/10 + 21*u**3/10 + 59*u**2/5 + 6*u - 20 = 0.
-10, -2, 1
Factor 3*p**2/4 - 45*p/4 + 27.
3*(p - 12)*(p - 3)/4
Factor b**3/3 - 137*b**2/3 - b/3 + 137/3.
(b - 137)*(b - 1)*(b + 1)/3
Suppose -2*o**2/9 - 28*o/3 + 64 = 0. Calculate o.
-48, 6
Suppose n**2 - 244*n + 14884 = 0. What is n?
122
Let -s**5/3 + 3*s**3 + 4*s**2/3 - 4*s = 0. What is s?
-2, 0, 1, 3
Determine l so that -l**3/5 + 4*l**2 = 0.
0, 20
Factor 4*j**3 + 396*j**2 + 10368*j + 27648.
4*(j + 3)*(j + 48)**2
What is s in 4*s**4/11 - 6*s**3/11 - 18*s**2/11 + 16*s/11 + 24/11 = 0?
-3/2, -1, 2
Suppose -3*a**2/2 + 48*a - 384 = 0. What is a?
16
Factor -c**2/2 - 13*c/2 - 6.
-(c + 1)*(c + 12)/2
Determine i, given that i**3 + 86*i**2 - 176*i = 0.
-88, 0, 2
Let 5*a**4 + 40*a**3 - 165*a**2 = 0. What is a?
-11, 0, 3
Let -10*a**5 - 130*a**4 + 15*a**3/2 + 95*a**2 - 65*a/2 = 0. What is a?
-13, -1, 0, 1/2
Factor 4*t**2/5 + 132*t/5 - 432/5.
4*(t - 3)*(t + 36)/5
Factor -2*g**3/5 - 4*g**2/5 + 414*g/5