iven that -2*x**5 + 2*x**4 + 28*x**3 + 52*x**2 + 38*x + 10 = 0.
-1, 5
Let -f**4/2 + 27*f**3/2 - 207*f**2/2 + 337*f/2 - 78 = 0. What is f?
1, 12, 13
Factor -2*d**2/11 - 272*d/11 - 9248/11.
-2*(d + 68)**2/11
Factor 3*s**3 - 12*s**2 - 45*s + 54.
3*(s - 6)*(s - 1)*(s + 3)
Suppose 4*u**3/5 - 24*u**2/5 - 4*u/5 + 24/5 = 0. Calculate u.
-1, 1, 6
Factor -h**2/6 - 691*h/3 - 477481/6.
-(h + 691)**2/6
Determine h, given that -5*h**3 - 135*h**2 = 0.
-27, 0
Find b, given that -2*b**4 - 6*b**3 + 8*b**2 = 0.
-4, 0, 1
Find x, given that -x**5/3 + x**4 - 2*x**3/3 = 0.
0, 1, 2
Determine u, given that 2*u**4/7 - 172*u**3/7 + 818*u**2/7 - 648*u/7 = 0.
0, 1, 4, 81
Factor -10*f**2/3 + 62*f/9 - 4/9.
-2*(f - 2)*(15*f - 1)/9
Factor 3*y**3/8 + 135*y**2/8 + 129*y/4.
3*y*(y + 2)*(y + 43)/8
Let -q**2/3 + 24*q = 0. What is q?
0, 72
Factor 2187*d**5 - 4536*d**4 + 2514*d**3 - 168*d**2 + 3*d.
3*d*(d - 1)**2*(27*d - 1)**2
Suppose 2*u**5 - 48*u**4 + 234*u**3 - 316*u**2 - 168*u + 432 = 0. Calculate u.
-1, 2, 3, 18
Factor 5*y**5 + 30*y**4 + 40*y**3 - 10*y**2 - 45*y - 20.
5*(y - 1)*(y + 1)**3*(y + 4)
Solve t**5/4 + 3*t**4/4 - t**3/2 - 3*t**2/2 + t/4 + 3/4 = 0 for t.
-3, -1, 1
Solve 9*f**3 + 6*f**2 - 900*f - 3672 = 0 for f.
-6, 34/3
Factor -d**2 - 80*d - 511.
-(d + 7)*(d + 73)
Factor 2*l**3 + 216*l**2 - 686*l - 2220.
2*(l - 5)*(l + 2)*(l + 111)
Factor -6*u**2/5 + 1296*u/5 - 258.
-6*(u - 215)*(u - 1)/5
Determine n, given that 4*n**3/5 + n**2 + n/5 = 0.
-1, -1/4, 0
What is w in -11*w**2/6 - 10*w/3 + 16 = 0?
-4, 24/11
Factor -4*t**3/5 - 16*t**2 - 308*t/5 + 968/5.
-4*(t - 2)*(t + 11)**2/5
Solve 5*h**3 - 3465*h**2 + 598575*h + 602045 = 0.
-1, 347
Solve 2*f**4/7 - 110*f**3/7 + 208*f**2 + 224*f = 0.
-1, 0, 28
Determine a, given that a**3/4 - 13*a**2 - 1173*a/4 = 0.
-17, 0, 69
Let 5*m**5/2 + 83*m**4/2 - 357*m**3/2 - 2663*m**2/2 - 2056*m - 798 = 0. Calculate m.
-19, -2, -3/5, 7
Factor 5*h**3 - 240*h**2 - 27900*h - 486000.
5*(h - 108)*(h + 30)**2
Determine v so that v**3/8 + 57*v**2/8 - 117*v/8 + 59/8 = 0.
-59, 1
Find m, given that 4*m**4 - 154*m**3 + 72*m**2 + 154*m - 76 = 0.
-1, 1/2, 1, 38
Let 4*x**4/3 + 14*x**3/9 + 2*x**2/9 = 0. Calculate x.
-1, -1/6, 0
Solve 2*c**3/3 + 108*c**2 + 5832*c + 104976 = 0 for c.
-54
Find y such that y**2/2 - 9140*y + 41769800 = 0.
9140
What is m in m**4 - 280*m**3 + 20152*m**2 - 77280*m + 76176 = 0?
2, 138
Factor 196*v**4 + 868*v**3 + 1332*v**2 + 860*v + 200.
4*(v + 1)*(v + 2)*(7*v + 5)**2
Factor -4*x**3/11 + 3902*x**2/11 - 950624*x/11 - 476288/11.
-2*(x - 488)**2*(2*x + 1)/11
Suppose 28*t**4 - 128*t**3 - 60*t**2 = 0. Calculate t.
-3/7, 0, 5
Solve a**3/3 - 248*a**2/3 = 0.
0, 248
Factor -5*g**3/11 - 8*g**2/11 + 7*g/11 + 6/11.
-(g - 1)*(g + 2)*(5*g + 3)/11
Find p such that -2*p**4 + 333*p**3 - 492*p**2 - 497*p + 330 = 0.
-1, 1/2, 2, 165
Find m such that m**5 + m**4 - 131*m**3 + 651*m**2 - 882*m = 0.
-14, 0, 3, 7
Factor -35*k**3 - 590*k**2 + 715*k - 90.
-5*(k - 1)*(k + 18)*(7*k - 1)
Factor -q**4/4 - 27*q**3/4 - 111*q**2/2 - 149*q - 126.
-(q + 2)**2*(q + 9)*(q + 14)/4
Let 2*d**3 - 16*d**2 - 2*d + 16 = 0. What is d?
-1, 1, 8
Find f such that 3*f**2 - 42*f + 147 = 0.
7
Factor -10*h**4 - 34*h**3 - 32*h**2 - 8*h.
-2*h*(h + 1)*(h + 2)*(5*h + 2)
Find k, given that -3*k**2 + 3 = 0.
-1, 1
Factor -5*g**3 - 25*g**2 - 35*g - 15.
-5*(g + 1)**2*(g + 3)
What is s in 2*s**3/9 - 74*s**2/9 + 832*s/9 - 2560/9 = 0?
5, 16
Let -2*g**5 + 2*g**4 + 10*g**3 - 2*g**2 - 16*g - 8 = 0. Calculate g.
-1, 2
Factor 4*t**3 + 64*t**2 + 308*t + 392.
4*(t + 2)*(t + 7)**2
Find g such that -5*g**3 - 250*g**2 + 2240*g - 4640 = 0.
-58, 4
Determine r, given that 4*r**5 + 120*r**4 + 1076*r**3 + 2224*r**2 - 4368*r - 10816 = 0.
-13, -4, -2, 2
What is a in 2*a**2/3 - 994*a/3 - 1996/3 = 0?
-2, 499
Factor -5*z**3 + 125*z**2 - 560*z - 2940.
-5*(z - 14)**2*(z + 3)
Determine q, given that q**2/2 + 15*q + 225/2 = 0.
-15
Factor 4*j**2/13 - 558*j/13 + 828/13.
2*(j - 138)*(2*j - 3)/13
Let i**3/4 - 3*i**2/2 + 9*i/4 - 1 = 0. What is i?
1, 4
Let 3*m**2 - 3*m = 0. What is m?
0, 1
Find f, given that 10*f**3/13 - 68*f**2/13 + 46*f/13 + 12/13 = 0.
-1/5, 1, 6
Suppose 28*d**4 - 132*d**3 - 208*d**2 - 48*d = 0. What is d?
-1, -2/7, 0, 6
Factor -f**2 - 155*f + 2550.
-(f - 15)*(f + 170)
What is u in -3*u**3/8 + 16941*u**2/8 - 23924925*u/8 + 23907987/8 = 0?
1, 2823
Factor -l**2/3 - 4*l/3 - 1.
-(l + 1)*(l + 3)/3
Determine i, given that i**4/5 + 442*i**3/5 + 49281*i**2/5 + 19448*i + 9680 = 0.
-220, -1
Let 69*g**2/8 - 33*g/4 - 3/8 = 0. What is g?
-1/23, 1
Factor -18*p**3 - 1480*p**2 - 2906*p - 1444.
-2*(p + 1)**2*(9*p + 722)
Factor 882*o**2 + 19824*o + 111392.
2*(21*o + 236)**2
Determine y, given that -6*y**2/5 - 66*y/5 - 144/5 = 0.
-8, -3
Solve 2*i**5 + 16*i**4 - 18*i**3 = 0 for i.
-9, 0, 1
Find m such that -2*m**4/17 - 176*m**3/17 - 346*m**2/17 - 172*m/17 = 0.
-86, -1, 0
Factor 5*k**3 - 2265*k**2 + 342015*k - 17214755.
5*(k - 151)**3
Solve 3*v**4 - 198*v**3 + 576*v**2 - 570*v + 189 = 0.
1, 63
Solve -3*a**2/7 - 75*a/7 - 138/7 = 0 for a.
-23, -2
Solve -4*k**4/7 - 4*k**3 + 188*k**2/7 + 60*k/7 - 792/7 = 0.
-11, -2, 3
Find j, given that 2*j**2/3 - 162*j - 488/3 = 0.
-1, 244
Determine b, given that 2*b**5/5 - 18*b**4/5 + 18*b**3/5 + 154*b**2/5 - 60*b + 144/5 = 0.
-3, 1, 4, 6
Factor -a**4 - 21*a**3 - 87*a**2 + 385*a + 1452.
-(a - 4)*(a + 3)*(a + 11)**2
Find w, given that 2*w**3 + 826*w**2 + 1646*w + 822 = 0.
-411, -1
Factor 4*o**2 - 8*o/3 - 4/3.
4*(o - 1)*(3*o + 1)/3
What is v in -4*v**3 + 13*v**2 - 4*v - 12 = 0?
-3/4, 2
Factor 5*q**2 + 10*q - 15.
5*(q - 1)*(q + 3)
Factor 2*r**2/5 + 84*r/5 + 594/5.
2*(r + 9)*(r + 33)/5
Factor -21*j**2 - 201*j + 90.
-3*(j + 10)*(7*j - 3)
Factor 4*m**3/7 - 48*m**2/7 + 48*m/7 + 320/7.
4*(m - 10)*(m - 4)*(m + 2)/7
Let -2*r**3 + 146*r**2 + 1476*r = 0. What is r?
-9, 0, 82
Factor -2*u**4 + 18*u**3 - 44*u**2 + 64.
-2*(u - 4)**2*(u - 2)*(u + 1)
Factor s**2/2 + 45*s - 91/2.
(s - 1)*(s + 91)/2
Factor 75*b**3 - 1210*b**2 + 160*b.
5*b*(b - 16)*(15*b - 2)
Suppose 2*q**2 + 372*q = 0. Calculate q.
-186, 0
Factor 126*j**3 + 906*j**2 + 1184*j/7 + 8.
2*(j + 7)*(21*j + 2)**2/7
Factor -11*u**2/2 + 27*u/2 - 5.
-(u - 2)*(11*u - 5)/2
Let -s**3/5 + 73*s**2 + 366*s/5 = 0. Calculate s.
-1, 0, 366
Factor 2*m**2/5 - 502*m/5.
2*m*(m - 251)/5
What is f in 2*f**2/9 - 284*f/9 + 560/9 = 0?
2, 140
Solve b**5 + 8*b**4 + 23*b**3 + 28*b**2 + 12*b = 0 for b.
-3, -2, -1, 0
What is x in 3*x**5 + 57*x**4 + 51*x**3 - 57*x**2 - 54*x = 0?
-18, -1, 0, 1
Factor s**2/7 + 211*s/7 + 204.
(s + 7)*(s + 204)/7
What is n in -20*n**5 - 320*n**4 - 725*n**3 + 865*n**2 + 1825*n - 1625 = 0?
-13, -5/2, 1
Let 5*s**5 - 25*s**4 + 30*s**3 + 10*s**2 - 35*s + 15 = 0. Calculate s.
-1, 1, 3
Suppose -k**3/6 - 103*k**2/6 - 901*k/2 - 867/2 = 0. What is k?
-51, -1
Factor a**2 + 1278*a + 1277.
(a + 1)*(a + 1277)
Find k such that 10*k**4/3 - 94*k**3/9 + 34*k**2/3 - 14*k/3 + 4/9 = 0.
2/15, 1
Determine p so that -4*p**3 + 160*p**2 - 1333*p - 5547 = 0.
-3, 43/2
Suppose 10*a**4 + 538*a**3 + 942*a**2 + 310*a - 104 = 0. Calculate a.
-52, -1, 1/5
Determine j so that 21*j**4/4 + 3603*j**3 + 32865*j**2/4 + 11289*j/2 + 1026 = 0.
-684, -1, -2/7
Factor 6*c**3/11 + 168*c**2/11 + 1242*c/11 + 1080/11.
6*(c + 1)*(c + 12)*(c + 15)/11
Factor -3*l**3 + 5*l**2/4.
-l**2*(12*l - 5)/4
Determine z, given that -7*z**4/2 - 65*z**3/2 - 37*z**2 - 8*z = 0.
-8, -1, -2/7, 0
Factor -2*d**5/5 + 106*d**4/5 - 1456*d**3/5 + 1352*d**2/5.
-2*d**2*(d - 26)**2*(d - 1)/5
Suppose -s**5/4 - s**4/2 + 9*s**3/2 - 8*s**2 + 23*s/4 - 3/2 = 0. Calculate s.
-6, 1
Determine i so that i**5 + 42*i**4 - 133*i**3 + 90*i**2 = 0.
-45, 0, 1, 2
What is x in x**5/5 - 4*x**4/5 + x**3/5 + 14*x**2/5 - 4*x + 8/5 = 0?
-2, 1, 2
Find k, given that 3*k**3 + 33*k**2 - 168*k + 180 = 0.
-15, 2
Let 13*k**2/5 - 17*k/5 + 4/5 = 0. Calculate k.
4/13, 1
Determine a, given that -75*a**5 - 380*a**4 + 35*a**3 + 320*a**2 + 100*a = 0.
-5, -2/3, -2/5, 0, 1
Factor -3*p**2/4 - 99*p/4 - 273/2.
-3*(p + 7)*(p + 26)/4
Suppose -m**2/3 - 107*m/3 - 106/3 = 0. What is m?
-106, -1
What is l in -4*l**5 + 4*l**4 + 28*l**3 - 4*l**2 - 24*l = 0?
-2, -1, 0, 1, 3
Factor -3*z**2/2 - 54*z + 111/2.
-3*(z - 1)*(z + 37)/2
Determine m, given that 3*m**2 + 561*m + 1656 = 0.
-184, -3
Determine z so that 2*z**3 - 500*z**2 + 31744*z - 61504 = 0.
2, 124
Factor 18*s**2/5 - 94*s/5 + 4.
