*v**2 - 36*v/7.
4*v*(v - 3)**2*(4*v - 1)/7
Determine v, given that 28*v**4 + 2148*v**3 - 2800*v**2 + 624*v = 0.
-78, 0, 2/7, 1
Find b, given that -4*b**3/3 - 16*b**2 - 28*b - 40/3 = 0.
-10, -1
Determine x, given that x**4/5 + x**3 + 6*x**2/5 - 4*x/5 - 8/5 = 0.
-2, 1
Find r such that -4*r**2 + 36 = 0.
-3, 3
Factor -n**4/3 - 16*n**3/3 + 77*n**2/3 - 20*n.
-n*(n - 3)*(n - 1)*(n + 20)/3
Factor -4*s**2/5 + 448*s/5 - 12544/5.
-4*(s - 56)**2/5
Factor 3*o**2 - 297*o - 300.
3*(o - 100)*(o + 1)
Factor -3*o**5/5 + 48*o**4/5 + 117*o**3 - 1890*o**2.
-3*o**2*(o - 15)**2*(o + 14)/5
Factor -v**2/5 + 118*v/5.
-v*(v - 118)/5
Factor -3*v**2 + 810*v - 54675.
-3*(v - 135)**2
Factor n**3/3 - 11*n**2/3 + 6*n.
n*(n - 9)*(n - 2)/3
Factor -4*z**2 + 3576*z - 799236.
-4*(z - 447)**2
What is q in -4*q**4 + 24*q**3 - 216*q + 324 = 0?
-3, 3
Suppose 6*q**3/11 - 32*q**2/11 + 6*q/11 + 20/11 = 0. Calculate q.
-2/3, 1, 5
Factor 5*h**5 - 17*h**4 + 16*h**3 - 4*h**2.
h**2*(h - 2)*(h - 1)*(5*h - 2)
Determine f so that -3*f**4/7 - 27*f**3/7 - 39*f**2/7 + 27*f/7 + 6 = 0.
-7, -2, -1, 1
Solve -3*j**2 - 165*j - 1242 = 0 for j.
-46, -9
Let -y**5 + 38*y**4 - 384*y**3 + 934*y**2 - 863*y + 276 = 0. What is y?
1, 12, 23
Determine v so that -v**5/4 + v**4 + 9*v**3/4 - 16*v**2 + 25*v - 12 = 0.
-4, 1, 2, 3
Factor -3*x**2/2 - 345*x - 5967/2.
-3*(x + 9)*(x + 221)/2
Solve h**2/10 + 17*h/5 - 867/10 = 0 for h.
-51, 17
Factor -2*h**2/3 + 176*h/3 + 512.
-2*(h - 96)*(h + 8)/3
Factor n**3 - 1537*n**2 + 6136*n - 6132.
(n - 1533)*(n - 2)**2
Factor 2*k**4/9 - 16*k**3/9 + 8*k**2/9 + 32*k/3.
2*k*(k - 6)*(k - 4)*(k + 2)/9
Factor 3*t**2 - 33*t.
3*t*(t - 11)
Suppose 5*f**3 - 93*f**2 + 132*f + 68 = 0. Calculate f.
-2/5, 2, 17
Let -4*y**3 + 1916*y**2 - 222588*y - 1653372 = 0. What is y?
-7, 243
Determine f so that -3*f**3/2 + 12*f**2 - 15*f/2 - 21 = 0.
-1, 2, 7
Factor -2*v**5 + 10*v**4 + 48*v**3.
-2*v**3*(v - 8)*(v + 3)
Factor -4*m**2 - 616*m/3 + 416/3.
-4*(m + 52)*(3*m - 2)/3
Solve 5*m**2 - 22750*m + 22745 = 0 for m.
1, 4549
Factor -2*u**3/7 - 58*u**2 + 1648*u/7 - 1656/7.
-2*(u - 2)**2*(u + 207)/7
Factor v**3 - 29*v**2 + 215*v - 475.
(v - 19)*(v - 5)**2
Suppose -4*u**4 + 320*u**3 - 6712*u**2 + 12480*u - 6084 = 0. Calculate u.
1, 39
Factor 4*m**4 - 256*m**3 + 2552*m**2 + 52096*m + 49284.
4*(m - 37)**2*(m + 1)*(m + 9)
Factor -4*j**3/3 + 1308*j**2 - 320132*j - 964324/3.
-4*(j - 491)**2*(j + 1)/3
Factor -3*u**2/4 - 99*u - 195.
-3*(u + 2)*(u + 130)/4
Factor -5*p**3 + 2940*p**2 - 576240*p + 37647680.
-5*(p - 196)**3
Suppose -10*i**3 - 1355*i**2 - 675*i = 0. Calculate i.
-135, -1/2, 0
Factor 2*m**3/11 - 36*m**2/11 + 94*m/11 - 60/11.
2*(m - 15)*(m - 2)*(m - 1)/11
Determine c, given that -c**4/4 + 4*c**3 - 53*c**2/4 + 31*c/2 - 6 = 0.
1, 2, 12
Determine y so that -36*y**5/5 + 15*y**4 + 102*y**3/5 - 297*y**2/5 + 168*y/5 - 12/5 = 0.
-2, 1/12, 1, 2
Factor 4*a**4 - 32*a**3 + 84*a**2 - 72*a.
4*a*(a - 3)**2*(a - 2)
Factor -4*q**5 + 16*q**4 - 16*q**3 - 8*q**2 + 20*q - 8.
-4*(q - 2)*(q - 1)**3*(q + 1)
Suppose 4*p**3 + 48*p**2 - 396*p + 648 = 0. What is p?
-18, 3
Solve 4*y**3 - 68*y**2 - 72*y + 2880 = 0 for y.
-6, 8, 15
Determine c, given that -c**2 + 26*c - 25 = 0.
1, 25
Factor -2*c**2 - 192*c - 4608.
-2*(c + 48)**2
Determine s so that -s**5/2 + 753*s**4/2 + 377*s**3 = 0.
-1, 0, 754
Let i**4/4 + 79*i**3/4 - 170*i**2 + 348*i = 0. Calculate i.
-87, 0, 4
Factor -4*r**3 - 260*r**2 + 532*r - 268.
-4*(r - 1)**2*(r + 67)
Determine v so that 2*v**3/3 + 26*v**2/3 + 44*v/3 = 0.
-11, -2, 0
Determine u, given that -3*u**4/4 + 39*u**3/4 + 9*u**2/4 - 123*u/4 + 39/2 = 0.
-2, 1, 13
Solve 4*o**4 + 13248*o**3 + 10956088*o**2 - 21951936*o + 10982596 = 0 for o.
-1657, 1
Let k**2 + 403*k + 1200 = 0. Calculate k.
-400, -3
Find q such that -6*q**4 - 94*q**3 - 430*q**2 - 434*q + 196 = 0.
-7, -2, 1/3
Find c such that -9*c**4 - 33*c**3 + 684*c**2 + 1188*c + 480 = 0.
-10, -1, -2/3, 8
Determine g so that -3*g**4 - 429*g**3 - 423*g**2 + 429*g + 426 = 0.
-142, -1, 1
Determine b, given that -6*b**3 - 172*b**2 + 238*b - 60 = 0.
-30, 1/3, 1
Determine d, given that 4*d**3/3 + 184*d**2/3 + 2116*d/3 = 0.
-23, 0
Let -2*t**5 + 4*t**4 + 32*t**3 - 4*t**2 - 30*t = 0. Calculate t.
-3, -1, 0, 1, 5
Suppose 4*k**2 - 33144*k - 33148 = 0. What is k?
-1, 8287
Suppose l**2/3 + 65*l/3 + 100 = 0. What is l?
-60, -5
Let -2*d**5/3 + 4*d**4/3 - 4*d**2/3 + 2*d/3 = 0. Calculate d.
-1, 0, 1
What is y in y**3/3 + 31*y**2/3 + 224*y/3 - 256/3 = 0?
-16, 1
What is q in -3*q**2/2 + 27*q + 729/2 = 0?
-9, 27
Solve 5*f**2/4 + 1615*f/2 = 0 for f.
-646, 0
Let 2*i**3/7 - 150*i/7 + 500/7 = 0. What is i?
-10, 5
Factor -4*q**4 + 76*q**3 + 16*q**2 - 304*q.
-4*q*(q - 19)*(q - 2)*(q + 2)
Find w such that 2*w**3/9 - 526*w**2/9 + 11440*w/3 + 3872 = 0.
-1, 132
Factor q**4/6 + 13*q**3/6 + 7*q**2/2 - 85*q/6 + 25/3.
(q - 1)**2*(q + 5)*(q + 10)/6
Suppose -70*c**5 - 5*c**4 + 140*c**3 + 10*c**2 - 70*c - 5 = 0. What is c?
-1, -1/14, 1
Factor -2*t**2 - 6*t - 4.
-2*(t + 1)*(t + 2)
Suppose -5*m**4 + 475*m**2 + 1350*m + 880 = 0. What is m?
-8, -2, -1, 11
Let 2*z**3 + 52*z**2 - 310*z = 0. Calculate z.
-31, 0, 5
What is m in -3*m**3/7 + 33*m**2 - 222*m/7 - 456/7 = 0?
-1, 2, 76
Find x such that 5*x**3 - 10*x**2 + 5*x = 0.
0, 1
Suppose -5*k**5 - 80*k**4 - 270*k**3 - 380*k**2 - 245*k - 60 = 0. Calculate k.
-12, -1
Suppose 10*u**4 + 58*u**3 - 70*u**2 - 466*u - 348 = 0. What is u?
-29/5, -2, -1, 3
Factor 2*g**2 - 22*g + 56.
2*(g - 7)*(g - 4)
Factor -31*q**4 + 96*q**3 - 102*q**2 + 40*q - 3.
-(q - 1)**3*(31*q - 3)
Factor -2*f**2/9 + 244*f/9 - 944/9.
-2*(f - 118)*(f - 4)/9
Suppose 2*s**5 - 22*s**4 + 78*s**3 - 98*s**2 + 40*s = 0. What is s?
0, 1, 4, 5
Suppose 3*k**5 + 159*k**4/5 + 399*k**3/5 + 129*k**2/5 - 126*k/5 = 0. What is k?
-7, -3, -1, 0, 2/5
Factor 2*b**3/11 - 74*b**2/11 - 2*b/11 + 74/11.
2*(b - 37)*(b - 1)*(b + 1)/11
Let 5*l**5 - 15*l**4 + 5*l**3 + 15*l**2 - 10*l = 0. Calculate l.
-1, 0, 1, 2
Find r, given that 2*r**2/11 + 70*r/11 + 612/11 = 0.
-18, -17
Factor -5*i**3 + 825*i**2.
-5*i**2*(i - 165)
Factor 5*r**4 - 55*r**3 + 25*r**2 + 235*r + 150.
5*(r - 10)*(r - 3)*(r + 1)**2
Suppose 2*v**5 - 8*v**4 - 22*v**3 + 132*v**2 - 144*v = 0. What is v?
-4, 0, 2, 3
Solve -4*l**4 + 58*l**3 - 112*l**2 - 102*l + 72 = 0 for l.
-1, 1/2, 3, 12
Determine h so that -h**3/8 - h**2/8 + h/4 = 0.
-2, 0, 1
Factor -3*u**5 - 12*u**4 + 36*u**3 - 6*u**2 - 33*u + 18.
-3*(u - 1)**3*(u + 1)*(u + 6)
What is a in -2*a**2/3 + 8/3 = 0?
-2, 2
Suppose -4*r**3 - 12*r**2 + 96*r - 112 = 0. What is r?
-7, 2
Factor -3*w**5 + 168*w**4 - 327*w**3 + 162*w**2.
-3*w**2*(w - 54)*(w - 1)**2
Suppose -5*m**3 - 170*m**2 + 175*m = 0. Calculate m.
-35, 0, 1
Find p, given that -21*p**4 + 690*p**3 - 5949*p**2 + 4512*p + 768 = 0.
-1/7, 1, 16
Suppose 2*k**2/17 + 18*k/17 = 0. What is k?
-9, 0
Factor -2*w**4/5 - 218*w**3/5 - 6254*w**2/5 - 16854*w/5.
-2*w*(w + 3)*(w + 53)**2/5
Factor -2*a**5 - 4*a**4 + 4*a**2 + 2*a.
-2*a*(a - 1)*(a + 1)**3
Determine i, given that -3*i**2 - 4488*i - 1678512 = 0.
-748
Factor 4*l**4 + 24*l**3 + 16*l**2 - 24*l - 20.
4*(l - 1)*(l + 1)**2*(l + 5)
Determine c so that 4*c**4 - 16*c**3 + 12*c**2 + 16*c - 16 = 0.
-1, 1, 2
Factor 5*r**5 - 75*r**4 + 375*r**3 - 725*r**2 + 600*r - 180.
5*(r - 6)**2*(r - 1)**3
Determine z, given that z**5/2 - 2*z**4 + 3*z**3/2 + 2*z**2 - 2*z = 0.
-1, 0, 1, 2
Find g such that -g**4/3 - 8*g**3/3 - 3*g**2 + 6*g = 0.
-6, -3, 0, 1
Factor 4*a**2 + 24*a + 32.
4*(a + 2)*(a + 4)
Determine m so that 20*m**2 - 855*m - 2025 = 0.
-9/4, 45
Factor -2*g**2 + 30*g - 28.
-2*(g - 14)*(g - 1)
What is h in 16*h**5 + 264*h**4 + 361*h**3 + 9*h**2 - 89*h + 15 = 0?
-15, -1, 1/4
Solve -4*v**5 + 148*v**4 - 1568*v**3 + 3728*v**2 - 2304*v = 0.
0, 1, 2, 16, 18
Find a, given that 2*a**2/7 - 260*a/7 = 0.
0, 130
Factor 2*j**3/9 - 34*j**2/9 - 2*j/9 + 34/9.
2*(j - 17)*(j - 1)*(j + 1)/9
Determine h so that -2*h**4/11 - 158*h**3/11 - 3198*h**2/11 - 3042*h/11 = 0.
-39, -1, 0
Find a, given that a**4/6 - 2*a**3 - 77*a**2/6 - 22*a - 34/3 = 0.
-2, -1, 17
Factor -3*s**2/7 + 33*s/7 + 54.
-3*(s - 18)*(s + 7)/7
Factor 3*s**5 + 3*s**4 - 258*s**3 + 726*s**2 - 705*s + 231.
3*(s - 7)*(s - 1)**3*(s + 11)
Let 4*s**2/5 - 4*s + 16/5 = 0. What is s?
1, 4
Solve 3*b**2/2 + 609*b = 0 for b.
-406, 0
Find r, given that -3*r**5 - 3*r**4 + 15*r**3 + 3*r**2 - 24*r + 12 = 0.
-2, 1
Let 20