 2
Factor w**2 + 838*w + 175561.
(w + 419)**2
Determine l so that -2*l**3/7 - 22*l**2/7 - 68*l/7 - 48/7 = 0.
-6, -4, -1
Solve 4*p**5 - 580*p**4 + 1140*p**3 + 580*p**2 - 1144*p = 0 for p.
-1, 0, 1, 2, 143
Factor a**4/4 - 3*a**3/2 + 2*a**2 + 3*a/2 - 9/4.
(a - 3)**2*(a - 1)*(a + 1)/4
Let h**4/2 + 13*h**3 - 14*h**2 - 13*h + 27/2 = 0. What is h?
-27, -1, 1
Factor -2*z**3/3 + 230*z**2 - 1808*z + 10784/3.
-2*(z - 337)*(z - 4)**2/3
Factor -2*c**2/9 - 70*c/9.
-2*c*(c + 35)/9
Factor -2*v**2/9 + 34*v/9.
-2*v*(v - 17)/9
Solve -2*p**3/9 - 20*p**2/3 - 166*p/9 - 12 = 0 for p.
-27, -2, -1
Factor -v**2/2 - 577*v/2 + 289.
-(v - 1)*(v + 578)/2
Determine b so that -2*b**4/3 - 268*b**3/3 - 176*b**2 = 0.
-132, -2, 0
Factor 2*w**3/17 + 24*w**2/17 + 58*w/17 + 36/17.
2*(w + 1)*(w + 2)*(w + 9)/17
Factor -2*u**2 + 354*u - 352.
-2*(u - 176)*(u - 1)
Solve 2*o**4/7 - 4*o**3/7 + 2*o**2/7 = 0.
0, 1
Determine z so that z**3/4 + 5*z**2/4 + 2*z + 1 = 0.
-2, -1
Factor -5*h**4/6 + 5*h**3/2 + 5*h**2/6 - 5*h/2.
-5*h*(h - 3)*(h - 1)*(h + 1)/6
Find c such that -5*c**2/4 - 3075*c - 1891125 = 0.
-1230
Factor p**2/5 - 5*p + 46/5.
(p - 23)*(p - 2)/5
Factor -10*b**3/7 - 76*b**2/7 - 38*b/7 + 4.
-2*(b + 1)*(b + 7)*(5*b - 2)/7
Determine s, given that 28*s**3/3 + 316*s**2/3 + 592*s/3 + 48 = 0.
-9, -2, -2/7
Let 2*n**4/3 + 77*n**3/3 + 316*n**2/3 + 343*n/3 + 34 = 0. What is n?
-34, -3, -1, -1/2
Factor 5*a**2 + 1365*a.
5*a*(a + 273)
Factor -20*d**2 - 1628*d + 984.
-4*(d + 82)*(5*d - 3)
Factor -32*j**2/7 + 528*j - 15246.
-2*(4*j - 231)**2/7
Determine m, given that 7*m**2/6 - 83*m/6 + 38/3 = 0.
1, 76/7
Suppose 2*w**3/3 - 52*w**2/3 + 34*w/3 + 4624/3 = 0. What is w?
-8, 17
Factor x**4/2 - 483*x**3/2 + 38637*x**2 - 2007666*x - 6377292.
(x - 162)**3*(x + 3)/2
Factor -m**4/2 - 11*m**3/2 - 35*m**2/2 - 25*m/2.
-m*(m + 1)*(m + 5)**2/2
Find z such that -2*z**5 + 6*z**4 + 16*z**3 - 48*z**2 - 32*z + 96 = 0.
-2, 2, 3
Let 5*d**4/3 - 70*d**3/3 - 585*d**2 = 0. Calculate d.
-13, 0, 27
Factor 2*k**2/5 + 62*k/5 + 60.
2*(k + 6)*(k + 25)/5
Factor -d**2/6 - 77*d/6 - 38/3.
-(d + 1)*(d + 76)/6
Suppose 2*a**4 - 176*a**3 + 1306*a**2 - 2092*a + 960 = 0. What is a?
1, 6, 80
Factor -18*h**4/7 + 1338*h**3/7 + 898*h**2/7 + 150*h/7.
-2*h*(h - 75)*(3*h + 1)**2/7
Determine o so that 3*o**2 + 2892*o + 696972 = 0.
-482
Factor 3*r**2/5 + 1086*r + 491415.
3*(r + 905)**2/5
Suppose -2*w**4 - 40*w**3/9 + 982*w**2/9 + 3820*w/9 + 800/9 = 0. What is w?
-5, -2/9, 8
Solve 15*c**4/4 + 145*c**3/4 + 435*c**2/4 + 455*c/4 + 75/2 = 0.
-5, -3, -1, -2/3
Factor -35*a**3 - 1060*a**2 + 785*a + 310.
-5*(a - 1)*(a + 31)*(7*a + 2)
Solve -4*d**5 - 168*d**4 + 384*d**3 + 1408*d**2 = 0 for d.
-44, -2, 0, 4
Factor -o**3 + 15*o**2 + 33*o + 17.
-(o - 17)*(o + 1)**2
Factor 4*z**2/3 - 68*z/3 + 64/3.
4*(z - 16)*(z - 1)/3
Solve -35*s**4 - 130*s**3 - 65*s**2 + 30*s = 0.
-3, -1, 0, 2/7
Factor 8*k**4 - 62*k**3 + 40*k**2 + 14*k.
2*k*(k - 7)*(k - 1)*(4*k + 1)
Factor -w**2 - 140*w - 4900.
-(w + 70)**2
Factor 6*b**2 + 22*b - 8.
2*(b + 4)*(3*b - 1)
Factor -4*z**3 + 76*z**2 - 248*z - 832.
-4*(z - 13)*(z - 8)*(z + 2)
Suppose -9*s**3/2 + 132*s**2 + 179*s/2 + 15 = 0. Calculate s.
-1/3, 30
Find w such that -w**5 - 7*w**4 + 7*w**3 + 43*w**2 - 42*w = 0.
-7, -3, 0, 1, 2
Factor z**3 - 5*z**2 - 12*z + 36.
(z - 6)*(z - 2)*(z + 3)
Factor -3*h**2/5 + 348*h/5 + 351/5.
-3*(h - 117)*(h + 1)/5
Find q, given that -3*q**5/7 + 3*q**4 - 45*q**3/7 + 39*q**2/7 - 12*q/7 = 0.
0, 1, 4
Find i such that 5*i**4/3 + 359*i**3/9 + 892*i**2/3 + 1940*i/3 - 400/9 = 0.
-10, -4, 1/15
Solve 3*w**2/4 + 9*w + 15 = 0 for w.
-10, -2
Factor g**4/3 + 65*g**3/3 + 383*g**2 + 3007*g/3 + 1922/3.
(g + 1)*(g + 2)*(g + 31)**2/3
Factor 93*m**2/2 - 1437*m - 279/2.
3*(m - 31)*(31*m + 3)/2
Solve 23*m**5/5 + 94*m**4/5 + 77*m**3/5 + 6*m**2/5 = 0.
-3, -1, -2/23, 0
Find z such that 4*z**5/3 - 10*z**4/9 - 16*z**3/3 + 40*z**2/9 = 0.
-2, 0, 5/6, 2
Factor 14*q**3/5 - 78*q**2/5 + 124*q/5 - 48/5.
2*(q - 3)*(q - 2)*(7*q - 4)/5
Determine m, given that -3*m**4/2 - 2522*m**3 - 3185282*m**2/3 - 1412320*m - 470400 = 0.
-840, -2/3
Solve j**3/5 - 23*j**2 - j/5 + 23 = 0.
-1, 1, 115
Factor -3*s**2 + 2088*s - 363312.
-3*(s - 348)**2
Factor 4*c**3 + 7944*c**2 + 3944196*c.
4*c*(c + 993)**2
Solve -2*z**4/3 + 92*z**3/3 - 256*z**2/3 - 92*z/3 + 86 = 0 for z.
-1, 1, 3, 43
Factor 28*j**2/3 + 55*j/6 - 1/6.
(j + 1)*(56*j - 1)/6
Solve 4*p**2 - 80*p - 84 = 0 for p.
-1, 21
Solve 8*c**5 - 164*c**4 + 220*c**3 + 152*c**2 = 0 for c.
-1/2, 0, 2, 19
Determine d, given that 2*d**3 + 30*d**2 + 46*d - 78 = 0.
-13, -3, 1
Determine x so that -2*x**2/3 - 54*x - 156 = 0.
-78, -3
Factor 4*g**2 - 908*g - 4640.
4*(g - 232)*(g + 5)
Factor -2*f**3/5 + 4*f**2 + 64*f/5 - 192/5.
-2*(f - 12)*(f - 2)*(f + 4)/5
What is i in 30*i**2 + 625*i - 105 = 0?
-21, 1/6
What is l in -15*l**4 - 99*l**3 + 312*l**2 - 108*l = 0?
-9, 0, 2/5, 2
Factor 2*v**2 - 332*v + 13778.
2*(v - 83)**2
Solve 3*n**2/7 + 4692*n/7 + 1834572/7 = 0.
-782
Factor -5*i**3 + 85*i**2 - 420*i + 540.
-5*(i - 9)*(i - 6)*(i - 2)
Factor -15*t**2 - 10750*t - 7160.
-5*(t + 716)*(3*t + 2)
Suppose -2*v**5 - 20*v**4 - 10*v**3 + 200*v**2 + 192*v = 0. What is v?
-8, -4, -1, 0, 3
Let -4*g**3/9 - 56*g**2/9 - 76*g/3 - 32 = 0. Calculate g.
-8, -3
What is b in -2*b**2/5 - 2*b/3 + 16/15 = 0?
-8/3, 1
Factor -r**3/6 + 25*r**2/6 - 143*r/6 + 119/6.
-(r - 17)*(r - 7)*(r - 1)/6
Solve q**2/2 - 31*q/2 + 119 = 0.
14, 17
Find k such that k**2/7 + 10*k + 136/7 = 0.
-68, -2
Factor -z**3 - 380*z**2 - 34933*z + 223494.
-(z - 6)*(z + 193)**2
Solve c**2/4 - 2167*c/2 + 4695889/4 = 0.
2167
Factor 2*b**4/3 - 4*b**3 - 6*b**2 + 28*b/3.
2*b*(b - 7)*(b - 1)*(b + 2)/3
Find s such that -s**2/5 - 1886*s/5 + 3776/5 = 0.
-1888, 2
Factor -10*t**3/9 - 16*t**2/3 - 62*t/9 - 8/3.
-2*(t + 1)*(t + 3)*(5*t + 4)/9
Suppose 3*z**5 - 78*z**4 + 192*z**3 + 4608*z**2 = 0. What is z?
-6, 0, 16
Factor 625*v**4 + 1350*v**3 + 204*v**2 + 8*v.
v*(v + 2)*(25*v + 2)**2
What is w in -4*w**2/7 - 46*w/7 - 22/7 = 0?
-11, -1/2
Factor 2*l**2/19 - 516*l/19 + 33282/19.
2*(l - 129)**2/19
Determine c, given that 3*c**2 + 123*c - 1530 = 0.
-51, 10
Let 4*z**2/5 + 4088*z/5 = 0. What is z?
-1022, 0
Suppose r**5 + 4*r**4 - 52*r**3 - 58*r**2 + 51*r + 54 = 0. What is r?
-9, -1, 1, 6
Factor 2*f**4/9 + 2*f**3/9 - 152*f**2/9 + 280*f/9.
2*f*(f - 7)*(f - 2)*(f + 10)/9
Factor -n**3/5 - 14*n**2/5 - 49*n/5.
-n*(n + 7)**2/5
Factor -4*k**4 + 12*k**2 + 8*k.
-4*k*(k - 2)*(k + 1)**2
Suppose -w**4/3 - 13*w**3 - 170*w**2/3 = 0. Calculate w.
-34, -5, 0
Factor 4*g**5/5 + 324*g**4/5 + 1212*g**3 - 20164*g**2/5 + 20832*g/5 - 7056/5.
4*(g - 1)**3*(g + 42)**2/5
Find z such that 2*z**4/17 + 98*z**3/17 + 96*z**2/17 = 0.
-48, -1, 0
Determine n, given that -6*n**4/11 - 262*n**3/11 - 1126*n**2/11 - 1338*n/11 - 468/11 = 0.
-39, -3, -1, -2/3
Solve 189*b**5 + 1347*b**4/5 - 4746*b**3 + 13116*b**2/5 - 168*b - 288/5 = 0.
-6, -1/9, 2/7, 2/5, 4
Find h, given that 2*h**3 + 42*h**2 = 0.
-21, 0
Factor -2*i**2/11 - 72*i/11 - 486/11.
-2*(i + 9)*(i + 27)/11
Solve -l**5/6 - 2*l**4/3 + 8*l**3/3 + 8*l**2/3 - 8*l = 0.
-6, -2, 0, 2
Factor -u**3/11 + u**2/11 + 4*u/11 - 4/11.
-(u - 2)*(u - 1)*(u + 2)/11
Find v, given that -14*v**4/11 + 50*v**3/11 - 46*v**2/11 - 2*v/11 + 12/11 = 0.
-3/7, 1, 2
Solve -3*p**5/2 + 39*p**3/2 + 18*p**2 = 0.
-3, -1, 0, 4
Solve -5*k**2 + 2215*k + 2220 = 0.
-1, 444
Solve a**2/2 + 5*a + 12 = 0.
-6, -4
Factor 5*y**2 - 4245*y - 4250.
5*(y - 850)*(y + 1)
Factor -2*x**3/7 + 44*x**2/7 - 160*x/7 - 512/7.
-2*(x - 16)*(x - 8)*(x + 2)/7
Let o**2 + 1694*o - 1695 = 0. Calculate o.
-1695, 1
Find n, given that 5*n**4 - 10*n**3 - 65*n**2 + 190*n - 120 = 0.
-4, 1, 2, 3
Find x, given that -x**2/2 - 32*x - 120 = 0.
-60, -4
Solve -20*q**4 + 48*q**3 + 36*q**2 - 80*q - 48 = 0 for q.
-1, -3/5, 2
Factor c**5/3 + 11*c**4/3 + 13*c**3 + 61*c**2/3 + 44*c/3 + 4.
(c + 1)**3*(c + 2)*(c + 6)/3
Suppose 2*t**4/13 + 56*t**3/13 + 354*t**2/13 + 700*t/13 + 400/13 = 0. What is t?
-20, -5, -2, -1
Factor -5*k**3 + 100*k**2 - 140*k - 720.
-5*(k - 18)*(k - 4)*(k + 2)
Factor 3*j**3 + 35*j**2 - 14*j - 24.
(j - 1)*(j + 12)*(3*j + 2)
Let 4*t**5/5 + 188*t**4/5 + 576*t**3 + 13312*t**2/5 - 16384*t/5 = 0. What is t?
-16, 0, 1
Find x, given that -2*x**3 - 83*x**2 - 40*x + 41 = 0.
-41, -1, 1/2
Factor -2*n**2 - 1038*n + 2084.
-2*(n - 2)*(n + 521)
Factor 5*m**4 - 313*m**3/7 + 927*m