iven that 4*c**2 - 208*c + 204 = 0.
1, 51
Factor n**2 - 1700*n + 722500.
(n - 850)**2
Solve j**4/4 + 3*j**3/2 + j**2/4 - 6*j + 4 = 0 for j.
-4, 1
What is i in -i**4/4 - 53*i**3/2 + i**2/4 + 53*i/2 = 0?
-106, -1, 0, 1
Factor -2*s**3/7 - 300*s**2/7 - 298*s/7.
-2*s*(s + 1)*(s + 149)/7
Factor 2*a**3 - 1088*a**2 + 151178*a - 868332.
2*(a - 269)**2*(a - 6)
Factor -25*t**5/4 + 45*t**4/4 - 6*t**3 + t**2.
-t**2*(t - 1)*(5*t - 2)**2/4
Factor -5*v**2 + 120*v - 115.
-5*(v - 23)*(v - 1)
Solve -4*y**3/7 + 20*y**2/7 - 24*y/7 = 0.
0, 2, 3
Determine w, given that -2*w**4/7 - w**3/7 + 5*w**2/7 - 2*w/7 = 0.
-2, 0, 1/2, 1
Suppose p**3 - 67*p**2 - 146*p + 552 = 0. Calculate p.
-4, 2, 69
Suppose -j**2/2 + j - 1/2 = 0. What is j?
1
Factor -2*p**4/11 + 4*p**3/11 + 72*p**2/11 + 16*p + 128/11.
-2*(p - 8)*(p + 2)**3/11
Suppose 4*j**2 - 132*j = 0. Calculate j.
0, 33
Factor -5*h**2/3 - 18380*h/3 - 16891220/3.
-5*(h + 1838)**2/3
Factor 2*w**2/13 + 596*w + 577226.
2*(w + 1937)**2/13
Let -2*y**3/13 - 6*y**2/13 + 32*y/13 - 24/13 = 0. What is y?
-6, 1, 2
Find y such that 12*y**2/5 + 153*y/5 + 108/5 = 0.
-12, -3/4
Let -4*s**5 + 52*s**4 - 236*s**3 + 476*s**2 - 432*s + 144 = 0. What is s?
1, 2, 3, 6
Factor 316*i**2 - 312*i - 4.
4*(i - 1)*(79*i + 1)
Suppose -2*z**2 + 68*z + 390 = 0. Calculate z.
-5, 39
Factor 2*z**5 - 276*z**4 + 9242*z**3 + 19320*z**2 + 9800*z.
2*z*(z - 70)**2*(z + 1)**2
Find c, given that -2*c**3/23 + 54*c**2/23 + 30*c + 1850/23 = 0.
-5, 37
Let 4*i**5 + 60*i**4 + 32*i**3 - 1376*i**2 + 2880*i - 1600 = 0. Calculate i.
-10, 1, 2
Factor 4*a**3 - 56*a**2 - 4*a + 56.
4*(a - 14)*(a - 1)*(a + 1)
Find k, given that -k**5 + 286*k**4 - 20449*k**3 = 0.
0, 143
Let 15*i**3 + 95*i**2 + 80*i - 100 = 0. What is i?
-5, -2, 2/3
Find i such that 22*i**4/7 - 30*i**3/7 + 8*i**2/7 = 0.
0, 4/11, 1
Factor -5*a**5/6 - 10*a**4/3 - 25*a**3/6 - 5*a**2/3.
-5*a**2*(a + 1)**2*(a + 2)/6
Suppose -4*q**4/7 + 47*q**3/7 + 64*q**2/7 + 13*q/7 = 0. Calculate q.
-1, -1/4, 0, 13
Factor -i**5/7 - 8*i**4/7 - 24*i**3/7 - 32*i**2/7 - 16*i/7.
-i*(i + 2)**4/7
Factor a**2/4 - 509*a/4 - 511/2.
(a - 511)*(a + 2)/4
Factor -3*g**5/5 - 18*g**4/5 - 27*g**3/5 - 12*g**2/5.
-3*g**2*(g + 1)**2*(g + 4)/5
Determine p, given that 2*p**4/11 - 78*p**3/11 + 76*p**2/11 = 0.
0, 1, 38
Factor 1024*l**2/7 + 128*l/7 + 4/7.
4*(16*l + 1)**2/7
Factor -2*t**4/5 + 68*t**3/5 - 642*t**2/5 + 1088*t/5 - 512/5.
-2*(t - 16)**2*(t - 1)**2/5
Factor 5*z**3 + 5*z**2 - 85*z + 75.
5*(z - 3)*(z - 1)*(z + 5)
Suppose 45*v**5/4 - 27*v**4 + v**3/4 + 37*v**2/2 - v - 2 = 0. Calculate v.
-2/3, -1/3, 2/5, 1, 2
Find u such that u**3/3 + 5*u**2 + 47*u/3 + 11 = 0.
-11, -3, -1
Factor -2*j**5 + 4*j**4 - 4*j**2 + 2*j.
-2*j*(j - 1)**3*(j + 1)
Solve 3*u**4/5 + 129*u**3/5 - 27*u**2 - 129*u/5 + 132/5 = 0.
-44, -1, 1
Factor -2*x**2/13 - 10*x/13 + 12/13.
-2*(x - 1)*(x + 6)/13
What is y in -4*y**3 + 328*y**2 - 6384*y - 14112 = 0?
-2, 42
Factor 3*f**3/8 - 33*f**2/8 - 3*f/8 + 33/8.
3*(f - 11)*(f - 1)*(f + 1)/8
Factor -4*p**4/5 + 4*p**3 - 36*p**2/5 + 28*p/5 - 8/5.
-4*(p - 2)*(p - 1)**3/5
Let 5*o**2/3 - 125*o + 370/3 = 0. Calculate o.
1, 74
Let 7*r**4/3 - 733*r**3/3 + 882*r**2 - 2012*r/3 - 808/3 = 0. Calculate r.
-2/7, 2, 101
Factor -2*x**3 - 2*x**2 + 8*x + 8.
-2*(x - 2)*(x + 1)*(x + 2)
Factor -10*q**2 + 41705*q - 20850.
-5*(q - 4170)*(2*q - 1)
Determine n, given that 2*n**5/7 - 16*n**4/7 + 50*n**3/7 - 76*n**2/7 + 8*n - 16/7 = 0.
1, 2
Factor -18*a**5/5 - 18*a**4 - 12*a**3 + 76*a**2/3 - 10*a + 6/5.
-2*(a + 3)**2*(3*a - 1)**3/15
Find t such that -6*t**3/5 - 302*t**2/5 + 516*t/5 - 208/5 = 0.
-52, 2/3, 1
Determine q so that 4*q**3 - 5076*q**2 + 10140*q - 5068 = 0.
1, 1267
Solve -3*s**5 + 876*s**4 - 5187*s**3 + 11190*s**2 - 10308*s + 3432 = 0 for s.
1, 2, 286
Factor 7*z**3/2 - 148*z**2 - 217*z/2 + 43.
(z - 43)*(z + 1)*(7*z - 2)/2
What is r in -r**4 - 25*r**3/4 + 11*r**2/2 + 88*r + 120 = 0?
-4, -2, 15/4
Factor p**3/3 - 24*p**2 + 540*p - 3888.
(p - 36)*(p - 18)**2/3
Solve -167281*k**2/12 - 1227*k - 27 = 0.
-18/409
Factor -4*k**4/3 + k**3 + 3*k**2 + 2*k/3.
-k*(k - 2)*(k + 1)*(4*k + 1)/3
Suppose 2*h**4 + 46*h**3 + 70*h**2 - 286*h + 168 = 0. What is h?
-21, -4, 1
Solve 2*i**5/21 + 26*i**4/21 + 86*i**3/21 + 10*i**2/7 - 48*i/7 = 0 for i.
-8, -3, 0, 1
Let 2*t**4 + 26*t**3 - 118*t**2 - 1386*t + 4356 = 0. Calculate t.
-11, 3, 6
What is i in -i**4/3 - 22*i**3/3 - 140*i**2/3 - 200*i/3 = 0?
-10, -2, 0
What is o in 2*o**5/3 + 4*o**4 + 6*o**3 + 8*o**2/3 = 0?
-4, -1, 0
Factor -2*f**3/7 + 18*f**2/7 - 4*f - 48/7.
-2*(f - 6)*(f - 4)*(f + 1)/7
Determine z so that 132*z**4/5 - 157*z**3/5 + 23*z**2/5 + 2*z/5 = 0.
-2/33, 0, 1/4, 1
Factor 25*c**2 - 80*c/7 + 4/7.
(5*c - 2)*(35*c - 2)/7
Solve 5*b**5 - 25*b**4 = 0.
0, 5
Factor -2*f**2/3 + 32/3.
-2*(f - 4)*(f + 4)/3
Factor l**5/8 + l**4/8 - l**3/8 - l**2/8.
l**2*(l - 1)*(l + 1)**2/8
Find q, given that q**3 + 45*q**2 - 478*q + 432 = 0.
-54, 1, 8
Suppose -p**2 - 1659*p = 0. What is p?
-1659, 0
Factor 8*s**2 + 636*s + 25281/2.
(4*s + 159)**2/2
Factor 5*p**3 + 2795*p**2 + 386375*p - 1184415.
5*(p - 3)*(p + 281)**2
Factor 2*k**5/3 - 2*k**4/3 - 4*k**3 - 4*k**2/3 + 10*k/3 + 2.
2*(k - 3)*(k - 1)*(k + 1)**3/3
Find f such that -35*f**5 + 215*f**4 + 355*f**3 - 895*f**2 - 860*f + 140 = 0.
-2, -1, 1/7, 2, 7
Determine m, given that m**2/2 + 564*m + 159048 = 0.
-564
Solve 5*k**3 - 105*k**2 - 245*k + 345 = 0.
-3, 1, 23
Factor -2*x**2/17 + 56*x/17 - 104/17.
-2*(x - 26)*(x - 2)/17
Let 2*y**4 + 26*y**3 - 74*y**2 - 218*y - 120 = 0. What is y?
-15, -1, 4
Factor g**3/4 - 849*g**2/4.
g**2*(g - 849)/4
Let l**2/4 - 33*l/4 - 27 = 0. What is l?
-3, 36
Factor -3*y**2 - 558*y - 25947.
-3*(y + 93)**2
Solve p**5/2 + 15*p**4/2 + 32*p**3 + 12*p**2 - 136*p - 168 = 0 for p.
-7, -6, -2, 2
Factor -2*k**3/9 - 22*k**2/3 - 28*k + 784/9.
-2*(k - 2)*(k + 7)*(k + 28)/9
Find q, given that 6*q**3/11 + 32*q**2/11 + 34*q/11 + 8/11 = 0.
-4, -1, -1/3
Factor -2*y**5 - 10*y**4 - 14*y**3 - 6*y**2.
-2*y**2*(y + 1)**2*(y + 3)
Find c such that 8*c**3/5 - 42*c**2/5 - 102*c/5 + 28/5 = 0.
-2, 1/4, 7
Factor -5*j**3 + 1040*j**2 - 6105*j + 9090.
-5*(j - 202)*(j - 3)**2
Factor 438*b**3 - 478*b**2 + 40*b.
2*b*(b - 1)*(219*b - 20)
What is h in 5*h**5 - 45*h**4 - 25*h**3 + 225*h**2 + 20*h - 180 = 0?
-2, -1, 1, 2, 9
Solve 5*q**4/4 + 850*q**3 + 287295*q**2/2 - 289850*q + 581405/4 = 0 for q.
-341, 1
Factor 2*h**4 + 92*h**3 + 264*h**2 + 260*h + 86.
2*(h + 1)**3*(h + 43)
Factor r**4/8 - 5*r**3/4 + 7*r**2/2 - 3*r.
r*(r - 6)*(r - 2)**2/8
Factor 2*t**5/5 - 2*t**4/5 - 2*t**3 - 6*t**2/5.
2*t**2*(t - 3)*(t + 1)**2/5
Determine v, given that -2*v**5/7 + 2*v**4/7 + 20*v**3/7 + 16*v**2/7 = 0.
-2, -1, 0, 4
Determine y so that -3*y**3/7 + 2955*y**2/7 - 726189*y/7 - 729147/7 = 0.
-1, 493
Suppose 3*m**2 + 24*m + 21 = 0. Calculate m.
-7, -1
Factor 3*a**2/7 - 162*a/7 + 2187/7.
3*(a - 27)**2/7
What is n in 2*n**2/5 + 4*n/5 - 16/5 = 0?
-4, 2
Factor 4*f**3/5 - 504*f**2/5 + 15876*f/5.
4*f*(f - 63)**2/5
Suppose -z**2/4 + 63*z/4 + 65/2 = 0. Calculate z.
-2, 65
Factor -p**4 - 70*p**3 + 444*p**2 - 904*p + 608.
-(p - 2)**3*(p + 76)
Factor 30*h**2 - 28*h - 16.
2*(3*h - 4)*(5*h + 2)
What is t in 2*t**3/13 - 62*t**2/13 + 510*t/13 - 450/13 = 0?
1, 15
Suppose -2*p**2/17 + 10*p/17 - 8/17 = 0. Calculate p.
1, 4
Let p**4/2 + 5*p**3/2 - 3*p**2/2 - 17*p/2 - 5 = 0. Calculate p.
-5, -1, 2
Suppose 2*j**3/5 - 54*j**2/5 + 462*j/5 - 1274/5 = 0. What is j?
7, 13
Factor 49*x**4/9 + 70*x**3/9 - 148*x**2/3 + 232*x/9 - 32/9.
(x - 2)*(x + 4)*(7*x - 2)**2/9
Factor -20*x**2 + 6975*x + 1745.
-5*(x - 349)*(4*x + 1)
Suppose 2*b**3/11 - 126*b**2/11 - 2*b/11 + 126/11 = 0. Calculate b.
-1, 1, 63
Factor 4*b**3 + 220*b**2 - 3072*b + 9648.
4*(b - 6)**2*(b + 67)
Factor -4*n**2 - 2656*n.
-4*n*(n + 664)
Find x such that x**5 - 5*x**4 - 8*x**3 + 48*x**2 = 0.
-3, 0, 4
Solve 112*x**5 + 508*x**4 + 360*x**3 - 580*x**2 - 352*x - 48 = 0.
-3, -2, -2/7, -1/4, 1
Find l, given that -2*l**4/23 + 294*l**3/23 - 1434*l**2/23 + 1994*l/23 - 852/23 = 0.
1, 3, 142
Factor 2*g**5/7 - 230*g**4/7 + 6950*g**3/7 - 19490*g**2/7 + 2720*g - 896.
2*(g - 56)**2*(g - 1)**3/7
Suppose 2*c**5/11 - 5866*c**4/11 + 4292438*c**3/11 + 12912530*c**2/11 + 12924272*c/11 + 4310048/11 = 0. What is c?
-1, 1468
Factor -l**5 - 3*l**4 + 6*l**3 + 10*l**2 - 21*l + 9.
-(l - 1)**3*(l + 3)**2
Factor 2*n**2 + 12*n - 14.
2*(n - 1)*(n 