480.
5*(f - 264)**2
Suppose c**5/3 + 16*c**4/3 + 28*c**3/3 - 2*c**2/3 - 29*c/3 - 14/3 = 0. Calculate c.
-14, -1, 1
Factor -45602*j**2 + 90600*j - 45000.
-2*(151*j - 150)**2
Factor 4*w**5/9 - 20*w**4/9 + 8*w**3/3 + 16*w**2/9 - 32*w/9.
4*w*(w - 2)**3*(w + 1)/9
Determine c, given that c**4 - 3*c**3 - 177*c**2 - 541*c + 720 = 0.
-9, -5, 1, 16
Let 2*u**2 - 310*u + 308 = 0. What is u?
1, 154
Solve t**5/7 - 15*t**4/7 + 76*t**3/7 - 156*t**2/7 + 16*t = 0.
0, 2, 4, 7
Let -16*c**4 - 236*c**3 + 60*c**2 = 0. Calculate c.
-15, 0, 1/4
Factor -2*u**2/3 - 7108*u/3 - 6315458/3.
-2*(u + 1777)**2/3
Factor 3*c**4/5 - 18*c**3/5 + 9*c**2/5 + 6*c.
3*c*(c - 5)*(c - 2)*(c + 1)/5
Let -3*c**5 - 138*c**4 - 2292*c**3 - 16728*c**2 - 52992*c - 55296 = 0. What is c?
-16, -6, -2
Factor -2*b**4/3 - 2*b**3 - 2*b**2 - 2*b/3.
-2*b*(b + 1)**3/3
Factor -2*d**2/3 - 40*d/3.
-2*d*(d + 20)/3
Factor p**4/4 + p**3/4 - 9*p**2/4 - 9*p/4.
p*(p - 3)*(p + 1)*(p + 3)/4
Factor 3*x**4 + 1062*x**3 + 6300*x**2 + 12552*x + 8352.
3*(x + 2)**3*(x + 348)
Factor 2*d**2/3 - 64*d/3 + 512/3.
2*(d - 16)**2/3
Factor 4*d**2/9 - 1472*d/9 - 164.
4*(d - 369)*(d + 1)/9
Suppose 2*j**5/7 - 4*j**4 + 50*j**3/7 - 24*j**2/7 = 0. What is j?
0, 1, 12
Find w, given that -2*w**5/9 - 2*w**4/9 + 14*w**3/9 + 2*w**2/9 - 4*w/3 = 0.
-3, -1, 0, 1, 2
Solve 3*g**3 + 12*g**2 + 9*g = 0 for g.
-3, -1, 0
Factor 15*g**3/7 + 411*g**2/7 + 162*g/7.
3*g*(g + 27)*(5*g + 2)/7
Factor -5*n**3 + 13770*n**2 - 12640860*n + 3868103160.
-5*(n - 918)**3
Factor -2*o**4/7 + 128*o**3/7 - 720*o**2/7 + 1408*o/7 - 928/7.
-2*(o - 58)*(o - 2)**3/7
Let 4*m**5 + 20*m**4 - 8*m**3 - 168*m**2 - 252*m - 108 = 0. Calculate m.
-3, -1, 3
Let -a**2 - 39*a = 0. What is a?
-39, 0
Suppose v**3/4 - v**2/2 - 11*v/4 + 3 = 0. What is v?
-3, 1, 4
Factor -11*f**3/5 - 27*f**2/5 - 4*f/5 + 12/5.
-(f + 1)*(f + 2)*(11*f - 6)/5
Determine x, given that -2*x**2/9 + 1148*x/9 - 164738/9 = 0.
287
Solve -189*h**4/4 + 93*h**3 + 579*h**2/4 + 9*h/2 = 0 for h.
-1, -2/63, 0, 3
Factor 28*v**4 - 608*v**3 - 820*v**2 - 184*v.
4*v*(v - 23)*(v + 1)*(7*v + 2)
Factor -w**2/2 + 11*w - 20.
-(w - 20)*(w - 2)/2
Determine d so that 5*d**4 - 20*d**3 + 20*d**2 = 0.
0, 2
Find b, given that -4*b**3/3 - 8*b**2/3 + 52*b/3 - 40/3 = 0.
-5, 1, 2
Factor -j**2/3 + 1328*j/3 - 440896/3.
-(j - 664)**2/3
Solve -5*x**4 + 1290*x**3 + 1300*x**2 - 1290*x - 1295 = 0 for x.
-1, 1, 259
Factor -5*d**4 - 110*d**3 - 605*d**2.
-5*d**2*(d + 11)**2
Solve -2*v**3/7 - 158*v**2/7 + 1192*v/7 - 1032/7 = 0.
-86, 1, 6
Find f such that -8*f**4/9 + 28*f**3/3 + 176*f**2/9 - 44*f + 16 = 0.
-3, 1/2, 1, 12
Solve w**5/6 - 5*w**3/6 + 2*w/3 = 0 for w.
-2, -1, 0, 1, 2
Find i such that -2*i**4/21 + 4*i**3/7 - 16*i**2/21 - 4*i/7 + 6/7 = 0.
-1, 1, 3
Factor -5*n**4/3 - 1535*n**3/3 - 3030*n**2 - 18100*n/3 - 12040/3.
-5*(n + 2)**3*(n + 301)/3
Let 9*x**4/2 - 309*x**3/2 + 93*x**2/2 + 309*x/2 - 51 = 0. Calculate x.
-1, 1/3, 1, 34
Factor 8*k**3/9 + 16*k**2/9 - 2*k/3 - 2.
2*(k - 1)*(2*k + 3)**2/9
Determine u so that 2*u**4 + 70*u**3 + 792*u**2 + 2592*u - 3456 = 0.
-12, 1
Solve -3*i**3/4 - 9*i**2/2 - 9*i/4 + 15/2 = 0 for i.
-5, -2, 1
Determine f, given that -f**2/5 - 34*f/5 - 289/5 = 0.
-17
Factor -2*m**3 - 22*m**2 - 52*m - 32.
-2*(m + 1)*(m + 2)*(m + 8)
Factor 2*c**2/5 + 26*c - 408/5.
2*(c - 3)*(c + 68)/5
Let -5*j**2/4 + 885*j/2 - 5265/4 = 0. Calculate j.
3, 351
Find r, given that 2*r**4/9 - 186*r**3 + 1670*r**2/3 - 5006*r/9 + 556/3 = 0.
1, 834
Factor -2*r**4/15 + 2*r**3/15 + 2*r**2/15 - 2*r/15.
-2*r*(r - 1)**2*(r + 1)/15
What is o in 33*o**4 - 18*o**3 - 396*o**2 + 744*o - 288 = 0?
-4, 6/11, 2
Factor 2*x**4 + 22*x**3 - 26*x**2 - 22*x + 24.
2*(x - 1)**2*(x + 1)*(x + 12)
Suppose -3*o**5 - 21*o**4 + 27*o**3 + 21*o**2 - 24*o = 0. What is o?
-8, -1, 0, 1
Factor -a**5/2 - 5*a**4 + 87*a**3/2 - 72*a**2.
-a**2*(a - 3)**2*(a + 16)/2
Find t, given that -3*t**4 + 675*t**3 - 666*t**2 - 1344*t = 0.
-1, 0, 2, 224
Factor w**3/4 + 10*w**2 - 43*w/4 - 41/2.
(w - 2)*(w + 1)*(w + 41)/4
Factor -234256*h**4/7 - 703736*h**3/7 - 415*h**2 - 3*h/7.
-h*(h + 3)*(484*h + 1)**2/7
Determine o, given that -4*o**5 + 64*o**4 - 160*o**3 + 40*o**2 + 164*o - 104 = 0.
-1, 1, 2, 13
Factor k**4 + 164*k**3 + 9870*k**2 + 256244*k + 2387929.
(k + 23)*(k + 47)**3
Determine c so that 2*c**4/7 + 4*c**3/7 - 8*c**2/7 - 4*c/7 + 6/7 = 0.
-3, -1, 1
Let -3*v**5/7 + 26*v**4/7 + 243*v**3/7 + 594*v**2/7 + 76*v + 120/7 = 0. Calculate v.
-2, -1/3, 15
Find p such that -5*p**3 - 40*p**2 + 95*p - 50 = 0.
-10, 1
Factor -t**3 + 59*t**2 + 121*t + 61.
-(t - 61)*(t + 1)**2
What is a in 5*a**5 + 10*a**4 - 285*a**3 + 270*a**2 = 0?
-9, 0, 1, 6
Factor 4*c**2 - 57*c + 65.
(c - 13)*(4*c - 5)
Factor o**4 + 39*o**3 + 38*o**2.
o**2*(o + 1)*(o + 38)
Let -3*v**4 - 1359*v**3 + 3*v**2 + 1359*v = 0. What is v?
-453, -1, 0, 1
Suppose -21*m**2 - 153*m - 42 = 0. What is m?
-7, -2/7
Factor 3*u**3 - 108*u**2 + 855*u + 2166.
3*(u - 19)**2*(u + 2)
Solve -2*x**3/9 - 4*x**2/3 + 218*x/9 + 52 = 0.
-13, -2, 9
Suppose -5*t**4 - 25*t**3 + 15*t**2 + 85*t + 50 = 0. What is t?
-5, -1, 2
Factor y**3 + 17*y**2 + 80*y + 64.
(y + 1)*(y + 8)**2
Let -x**2/4 - 41*x/4 - 209/2 = 0. What is x?
-22, -19
Solve -2*k**2 + 404*k - 800 = 0 for k.
2, 200
Factor 2*z**2 - 1864*z + 434312.
2*(z - 466)**2
Factor -3*a**2 - 699*a - 6048.
-3*(a + 9)*(a + 224)
Factor -w**3 - 20*w**2/3 + 7*w/3.
-w*(w + 7)*(3*w - 1)/3
Find q such that -28*q**5 - 40*q**4 + 4*q**3 + 16*q**2 = 0.
-1, 0, 4/7
Solve j**3/2 - 7*j**2/2 - j/2 + 7/2 = 0 for j.
-1, 1, 7
What is u in -2*u**3 + 302*u**2 + 2880*u = 0?
-9, 0, 160
Determine x, given that 5*x**2 + 635*x + 630 = 0.
-126, -1
Suppose -156*l**3 - 345*l**2 - 48*l + 36 = 0. What is l?
-2, -6/13, 1/4
Let -5*r**3/4 - 11215*r**2/4 - 2800*r + 5605 = 0. Calculate r.
-2242, -2, 1
What is b in b**5 - b**4 - 9*b**3 + 13*b**2 + 8*b - 12 = 0?
-3, -1, 1, 2
Let -10*n**5 - 254*n**4 - 570*n**3 - 418*n**2 - 92*n = 0. What is n?
-23, -1, -2/5, 0
Factor -5*u**2 - 750*u - 1480.
-5*(u + 2)*(u + 148)
Factor -m**5 - 5*m**4 - 6*m**3 + 4*m**2 + 8*m.
-m*(m - 1)*(m + 2)**3
Suppose -3*w**3/4 + 15*w**2/4 - 3*w = 0. What is w?
0, 1, 4
Let c**2/2 + 4*c = 0. What is c?
-8, 0
Factor -q**5/2 - q**4 - q**3/2.
-q**3*(q + 1)**2/2
Solve l**2/6 - 11*l/6 - 242 = 0 for l.
-33, 44
Find p such that -4*p**5 + 32*p**4 + 40*p**3 - 32*p**2 - 36*p = 0.
-1, 0, 1, 9
Factor 5*q**3 + 385*q**2 + 7600*q + 7220.
5*(q + 1)*(q + 38)**2
Factor -j**4 - 3*j**3 + 20*j**2 + 48*j - 64.
-(j - 4)*(j - 1)*(j + 4)**2
Find q, given that q**3/6 + 83*q**2/6 + 160*q/3 + 158/3 = 0.
-79, -2
What is g in -3*g**2/2 - 30*g = 0?
-20, 0
Find v, given that -6*v**5 - 14*v**4/3 + 40*v**3/3 - 8*v**2/3 = 0.
-2, 0, 2/9, 1
Suppose -5*y**3 + 80*y**2 - 345*y + 450 = 0. Calculate y.
3, 10
Determine p, given that 2*p**3/11 + 650*p**2/11 + 53136*p/11 + 52488/11 = 0.
-162, -1
Factor 4*y**2 - 56*y + 96.
4*(y - 12)*(y - 2)
Let -3*n**3/7 + 57*n**2/7 - 27*n + 135/7 = 0. Calculate n.
1, 3, 15
Factor m**4/9 - 236*m**3/9 + 5018*m**2/3 - 133340*m/9 + 319225/9.
(m - 113)**2*(m - 5)**2/9
Factor -98*z**3/3 + 5572*z**2/3 + 6464*z/3 + 1856/3.
-2*(z - 58)*(7*z + 4)**2/3
Factor u**2/2 + 40*u + 78.
(u + 2)*(u + 78)/2
Find j such that -4*j**2 + 3792*j - 898704 = 0.
474
Determine q so that -4*q**4 - 8*q**3 - 4*q**2 = 0.
-1, 0
Factor -2*w**4 + 832*w**3 - 84848*w**2 - 349440*w - 352800.
-2*(w - 210)**2*(w + 2)**2
Solve 5*o**4 + 25*o**3 - 120*o**2 = 0.
-8, 0, 3
Factor g**2/5 - 9*g + 86/5.
(g - 43)*(g - 2)/5
Find m, given that m**2/2 + 1576*m = 0.
-3152, 0
Factor 2*m**3/5 - 44*m**2/5 + 42*m.
2*m*(m - 15)*(m - 7)/5
Suppose 4*d**3 - 52*d**2 - 456*d = 0. What is d?
-6, 0, 19
Factor 21*h**3 - 7197*h**2 + 5124*h + 2052.
3*(h - 342)*(h - 1)*(7*h + 2)
Find w, given that -2*w**4/17 - 38*w**3/17 + 2*w**2/17 + 38*w/17 = 0.
-19, -1, 0, 1
Suppose 12*l**2 + 3*l = 0. What is l?
-1/4, 0
Factor p**3 - 1009*p**2 - 1010*p.
p*(p - 1010)*(p + 1)
Solve -2*o**4 - 26*o**3 - 72*o**2 = 0 for o.
-9, -4, 0
Determine v, given that -v**5 + 88*v**4 - 1752*v**3 - 8096*v**2 - 8464*v = 0.
-2, 0, 46
Factor -5*l**4 + 70*l**3 + 360*l**2.
-5*l**2*(l - 18)*(l + 4)
Determine x, given that -28*x**4/5 + 43*x**3/5 + 39*x**2/5 - 28*x/5 + 4/5 = 0.
-1, 1/4, 2/7, 2
Find m, given that -2*m**2 + 4268*m + 8544 = 0.
-2, 2136
Determine t so that -4*t**2 - 14*t + 8 = 0.
-4, 1/2
Factor -i**2 + 249*i/4 - 31/2.
-