+ 8)*(y + 10)
Find x such that -3*x**2/7 - 39*x/7 = 0.
-13, 0
Solve 100*p**5/7 - 4740*p**4 + 125096*p**3/7 - 149776*p**2/7 + 68256*p/7 - 10496/7 = 0.
2/5, 1, 2, 328
Factor 4*r**5 + 16*r**4 - 12*r**3 - 56*r**2 - 32*r.
4*r*(r - 2)*(r + 1)**2*(r + 4)
Let -2*b**3/5 + 4*b**2/5 + 42*b/5 + 36/5 = 0. Calculate b.
-3, -1, 6
Find z such that 2*z**2 - 204*z + 3280 = 0.
20, 82
Factor -3*p**4 + 306*p**3 - 10404*p**2 + 117912*p.
-3*p*(p - 34)**3
Determine g, given that -10*g**5/3 + 92*g**4 + 1012*g**3/3 + 1280*g**2/3 + 226*g + 124/3 = 0.
-1, -2/5, 31
Suppose -2*k**3/11 - 20*k**2/11 - 62*k/11 - 60/11 = 0. Calculate k.
-5, -3, -2
Solve 3*u**2/8 + 63*u/8 + 135/4 = 0.
-15, -6
Factor g**2/5 + 14*g/5 + 24/5.
(g + 2)*(g + 12)/5
Factor p**2/11 - 26*p/11 + 25/11.
(p - 25)*(p - 1)/11
Factor 2*v**2/9 - 20*v/9 - 112/9.
2*(v - 14)*(v + 4)/9
Factor 4*l**2 - 120*l.
4*l*(l - 30)
Factor 2*z**2/9 - 4*z/3 - 70.
2*(z - 21)*(z + 15)/9
Determine y, given that 2*y**3 + 4*y**2 - 10*y - 12 = 0.
-3, -1, 2
Factor g**4/7 + 9*g**3 + 1238*g**2/7 + 6660*g/7 - 18792/7.
(g - 2)*(g + 18)**2*(g + 29)/7
Factor -2*w**2/23 + 2454*w/23 + 4916/23.
-2*(w - 1229)*(w + 2)/23
Solve 2*k**2 - 150*k + 432 = 0.
3, 72
Factor 3*q**2 - 597*q + 1182.
3*(q - 197)*(q - 2)
Factor 4*m**3/5 + 44*m**2/5 + 136*m/5 + 96/5.
4*(m + 1)*(m + 4)*(m + 6)/5
Solve 15*u**5 + 5154*u**4 + 28536*u**3 + 48720*u**2 + 16176*u - 16224 = 0.
-338, -2, 2/5
Solve -t**2/2 + 9*t/2 - 81/8 = 0.
9/2
Solve -5*t**4 + 1040*t**3 + 4240*t**2 = 0.
-4, 0, 212
Factor y**3/3 - 7*y**2/3 - 17*y/3 - 3.
(y - 9)*(y + 1)**2/3
Find p, given that 3*p**2 + 240*p + 4800 = 0.
-40
Determine h so that h**4/2 - 28*h**3 - 967*h**2/2 - 455*h = 0.
-13, -1, 0, 70
Factor 4*s**2 + 1436*s - 2888.
4*(s - 2)*(s + 361)
Factor 3*o**2/5 - 9*o.
3*o*(o - 15)/5
Factor 4*m**2/5 + 1728*m/5 - 1732/5.
4*(m - 1)*(m + 433)/5
Suppose 4*g**4 + 36*g**3 - 144*g**2 + 16*g + 192 = 0. What is g?
-12, -1, 2
Determine o, given that -3*o**2/5 - 2781*o/5 + 2784/5 = 0.
-928, 1
Factor 2*c**2/17 - 380*c/17 - 1552/17.
2*(c - 194)*(c + 4)/17
Factor -3*p**3 + 15*p**2 + 54*p - 216.
-3*(p - 6)*(p - 3)*(p + 4)
Factor -49*h**4 + 38094*h**3 - 7392949*h**2 - 4233876*h - 605284.
-(h - 389)**2*(7*h + 2)**2
Factor 3*q**4/2 + 165*q**3/2 + 2625*q**2/2 + 9375*q/2.
3*q*(q + 5)*(q + 25)**2/2
Suppose 2*l**4/3 + 20*l**3 + 448*l**2/3 - 20*l - 150 = 0. Calculate l.
-15, -1, 1
Factor 3*d**5 + 285*d**4 + 9210*d**3 + 106950*d**2 + 187395*d + 89373.
3*(d + 1)**2*(d + 31)**3
Factor -2*t**2/7 + 50*t/7 - 132/7.
-2*(t - 22)*(t - 3)/7
Let -u**5 - 10*u**4/3 + 10*u**2/3 + u = 0. What is u?
-3, -1, -1/3, 0, 1
Solve f**2 - 5642*f + 7958041 = 0 for f.
2821
What is z in -4*z**4 - 52*z**3 + 392*z**2 + 384*z - 3456 = 0?
-18, -3, 4
Factor 2*g**4/5 + 212*g**3/5 + 5178*g**2/5 - 4664*g + 4840.
2*(g - 2)**2*(g + 55)**2/5
Find q such that -2*q**2/3 + 4*q + 494/3 = 0.
-13, 19
Factor -2*b**3/9 + 818*b**2/9 - 28016*b/3 + 9248.
-2*(b - 204)**2*(b - 1)/9
Factor d**3/3 - 6*d**2 + 36*d - 72.
(d - 6)**3/3
Factor r**5/4 - 17*r**4/4 - 37*r**3/4 - 19*r**2/4.
r**2*(r - 19)*(r + 1)**2/4
Factor v**5/3 + 5*v**4/3 + 2*v**3/3 - 8*v**2/3.
v**2*(v - 1)*(v + 2)*(v + 4)/3
Suppose 2*o**3/11 - 86*o**2/11 + 84*o/11 = 0. Calculate o.
0, 1, 42
Find r such that -2*r**3 - 344*r**2 - 14792*r = 0.
-86, 0
Factor 2*l**2/9 - 70*l/9 - 8.
2*(l - 36)*(l + 1)/9
Find s, given that s**3/4 - 123*s**2/2 - 250*s = 0.
-4, 0, 250
Solve 4*t**2/7 + 832*t/7 = 0.
-208, 0
Solve 50*g**5 + 55*g**4 - 80*g**3 + 20*g**2 = 0 for g.
-2, 0, 2/5, 1/2
Factor -5*n**4 - 10*n**3 + 35*n**2 - 20*n.
-5*n*(n - 1)**2*(n + 4)
Suppose -o**4 + 18*o**3 + 113*o**2 + 54*o - 184 = 0. Calculate o.
-4, -2, 1, 23
Solve -a**2/4 + 21*a/4 - 55/2 = 0.
10, 11
Factor h**3/3 - 3*h**2 + 2*h/3 + 16.
(h - 8)*(h - 3)*(h + 2)/3
What is f in 5*f**4 - 170*f**3 - 760*f**2 = 0?
-4, 0, 38
Determine m so that m**5/4 - m**4 - 5*m**3/4 = 0.
-1, 0, 5
Find f, given that -5*f**4 + 25*f**3 + 140*f**2 - 100*f - 480 = 0.
-3, -2, 2, 8
Find t such that t**3/6 - 233*t**2 + 108578*t - 50597348/3 = 0.
466
Factor 5*t**2 + 1180*t - 2380.
5*(t - 2)*(t + 238)
Factor -n**2/8 + 11*n/8.
-n*(n - 11)/8
Let c**4 + 41*c**3 - 383*c**2 + 459*c + 882 = 0. Calculate c.
-49, -1, 3, 6
Solve -5*l**5/3 + 61*l**4/3 - 235*l**3/3 + 275*l**2/3 = 0 for l.
0, 11/5, 5
Determine w, given that -5*w**2 - 135*w - 130 = 0.
-26, -1
Suppose 8*f**4 - 2*f**3 - 50*f**2 + 44*f = 0. What is f?
-11/4, 0, 1, 2
Let -f**3 + f = 0. What is f?
-1, 0, 1
Factor -y**4/3 - 20*y**3/3 + 23*y**2.
-y**2*(y - 3)*(y + 23)/3
Solve -4*i**2 - 161*i - 306 = 0 for i.
-153/4, -2
Let -21*y**4/4 - 24*y**3 - 33*y**2 - 12*y = 0. What is y?
-2, -4/7, 0
Let -3*l**2/8 - 159*l/8 = 0. What is l?
-53, 0
Factor -2*u**2/7 - 474*u/7 + 956/7.
-2*(u - 2)*(u + 239)/7
Factor c**2/7 + 5966*c/7 + 8898289/7.
(c + 2983)**2/7
Factor m**2 + 31*m.
m*(m + 31)
Factor 3*v**2/4 + 237*v/2 - 477/4.
3*(v - 1)*(v + 159)/4
Factor -4*i**2 - 28*i + 1040.
-4*(i - 13)*(i + 20)
Determine x, given that 5*x**3 + 1020*x**2 + 4020*x + 4000 = 0.
-200, -2
Suppose -w**3/2 + 111*w**2/2 - 4107*w/2 + 50653/2 = 0. Calculate w.
37
Suppose -2*j**4/11 - 16*j**3/11 + 18*j**2/11 = 0. Calculate j.
-9, 0, 1
Let 15*z**4 + z**3 - 74*z**2 - 4*z + 56 = 0. Calculate z.
-2, -1, 14/15, 2
Suppose -3*b**5 - 273*b**4 - 270*b**3 = 0. What is b?
-90, -1, 0
Factor -12*l**3 + 368*l**2 - 1676*l - 600.
-4*(l - 25)*(l - 6)*(3*l + 1)
Suppose 12*w**5 - 184*w**4 + 48*w**3 + 184*w**2 - 60*w = 0. Calculate w.
-1, 0, 1/3, 1, 15
Factor 2*i**2 - 420*i + 22050.
2*(i - 105)**2
Let -5*y**3 - 15*y**2 + 30*y + 40 = 0. What is y?
-4, -1, 2
Suppose 5*t**5/4 - 25*t**4/2 + 125*t**3/4 = 0. What is t?
0, 5
Find o, given that o**2/5 + 24*o + 720 = 0.
-60
Factor 5*z**4/2 + 47*z**3/6 - 9*z**2 - 4*z/3.
z*(z - 1)*(z + 4)*(15*z + 2)/6
Determine u so that -4*u**5 + 152*u**4 - 432*u**3 + 424*u**2 - 140*u = 0.
0, 1, 35
Find c such that 53*c**3/2 + 214*c**2 + 440*c + 32 = 0.
-4, -4/53
Suppose -2*p**4/5 - 6*p**3/5 + 448*p**2/5 + 552*p - 640 = 0. What is p?
-10, 1, 16
Factor 2*v**4 + 156*v**3 + 456*v**2 + 452*v + 150.
2*(v + 1)**3*(v + 75)
Factor -81*k**4/8 + 1071*k**3/8 - 235*k**2/8 + 13*k/8.
-k*(k - 13)*(9*k - 1)**2/8
Solve -3*u**2/2 + 36*u - 429/2 = 0.
11, 13
Solve 2*a**5/5 + 4*a**4/5 - 8*a**3/5 - 16*a**2/5 = 0.
-2, 0, 2
Find c, given that 2*c**4/9 + 52*c**3/9 - 2*c**2/9 - 52*c/9 = 0.
-26, -1, 0, 1
Suppose 2*z**5/5 - 14*z**4/5 + 22*z**3/5 - 2*z**2 = 0. Calculate z.
0, 1, 5
Factor -4*n**2 + 240*n - 3600.
-4*(n - 30)**2
Factor g**3/8 + 3*g**2/2 + 41*g/8 + 21/4.
(g + 2)*(g + 3)*(g + 7)/8
What is x in 5*x**5 - 730*x**4 + 1420*x**3 + 2890*x**2 - 1425*x - 2160 = 0?
-1, 1, 3, 144
Factor -26*p**3 - 90*p**2 + 68*p + 48.
-2*(p - 1)*(p + 4)*(13*p + 6)
Factor 3*s**2/7 + 1272*s/7 - 6435/7.
3*(s - 5)*(s + 429)/7
Find s, given that 3*s**2 - 273*s = 0.
0, 91
Let b**2 - 4*b - 45 = 0. Calculate b.
-5, 9
Factor 2*n**2/13 - 240*n/13 + 7200/13.
2*(n - 60)**2/13
Factor 3*k**4 + 597*k**3 + 3474*k**2.
3*k**2*(k + 6)*(k + 193)
Let -f**4 + 20*f**3 + 117*f**2 + 196*f + 100 = 0. Calculate f.
-2, -1, 25
Factor -n**5/5 + 9*n**4/5 + 48*n**3/5 + 52*n**2/5.
-n**2*(n - 13)*(n + 2)**2/5
Solve -2*x**3/9 + 38*x**2/9 - 68*x/9 = 0.
0, 2, 17
Find f such that -3*f**4 - 363*f**3 - 12456*f**2 - 87360*f - 75264 = 0.
-56, -8, -1
Factor 3*o**4.
3*o**4
Factor -s**3/4 - 109*s**2/8 - 189*s - 729/8.
-(s + 27)**2*(2*s + 1)/8
Factor 22*u**2/13 - 196*u/13 + 160/13.
2*(u - 8)*(11*u - 10)/13
Let -2*n**3/13 + 108*n**2/13 - 1080*n/13 - 10800/13 = 0. What is n?
-6, 30
Solve 48*n**3 + 676*n**2 + 688*n + 156 = 0.
-13, -3/4, -1/3
Determine v, given that -3*v**4/5 + 6*v**3/5 + 12*v**2/5 - 24*v/5 = 0.
-2, 0, 2
Factor -2*w**4/3 - 10*w**3/3 - 16*w**2/3 - 8*w/3.
-2*w*(w + 1)*(w + 2)**2/3
Determine z so that z**2 + 36*z + 68 = 0.
-34, -2
What is f in -f**2 + 16*f + 105 = 0?
-5, 21
Solve -20*x**4 + 289*x**3 - 352*x**2 - 331*x + 78 = 0.
-3/4, 1/5, 2, 13
Factor 4*c**3 + 24*c**2 - 76*c - 336.
4*(c - 4)*(c + 3)*(c + 7)
Factor a**4 + 57*a**3 - 4*a**2 - 228*a.
a*(a - 2)*(a + 2)*(a + 57)
Factor 4*i**2 + 160*i - 336.
4*(i - 2)*(i + 42)
Factor -l**2 + 2*l.
-l*(l - 2)
Factor -4*z**4 + 392*z**3 + 796*z**2 + 400*z.
-4*z*(z - 100)*(z + 1)**2
Factor d**3 - 6*d**2 + 5*d.
d*(d - 5)*(d - 1)
Factor 2*j**2/3 - 632*j/3 + 49928/3.
2*(j - 158)**2/3
Let -z**4 + 289*z**3 + 1761*z**2 + 2651