at -9*w**3 - 777*w**2 - 252*w + 516 = 0.
-86, -1, 2/3
Suppose 4*p**2 + 7528*p + 3541924 = 0. Calculate p.
-941
What is i in -2*i**4/19 + 2244*i**3/19 + 2248*i**2/19 - 2244*i/19 - 2246/19 = 0?
-1, 1, 1123
Determine i so that -2*i**5 + 18*i**3 = 0.
-3, 0, 3
Suppose 14*y**5/5 + 44*y**4 - 442*y**3/5 - 14984*y**2/5 - 22792*y/5 + 7744/5 = 0. Calculate y.
-11, -2, 2/7, 8
Factor 5*m**5 - 60*m**4 + 255*m**3 - 440*m**2 + 240*m.
5*m*(m - 4)**2*(m - 3)*(m - 1)
Factor -5*t**2/4 + 25*t/2 - 45/4.
-5*(t - 9)*(t - 1)/4
Suppose -2*l**2/7 - 26*l/7 + 4 = 0. What is l?
-14, 1
Suppose -9*v**5/2 + 3*v**4/2 + 35*v**3/2 - 19*v**2/2 - 5*v = 0. What is v?
-2, -1/3, 0, 1, 5/3
Factor a**2/4 + 43*a/8.
a*(2*a + 43)/8
Find b, given that 4*b**2 + 632*b = 0.
-158, 0
Suppose -5*h**5 + 15*h**4 + 45*h**3 + 25*h**2 = 0. Calculate h.
-1, 0, 5
Factor 2*i**2/5 - 1372*i/5 + 5456/5.
2*(i - 682)*(i - 4)/5
Find u such that -4*u**5/7 - 24*u**4/7 - 4*u**3 + 24*u**2/7 + 32*u/7 = 0.
-4, -2, -1, 0, 1
Determine q so that 28*q**3/5 + 162*q**2/5 + 114*q/5 + 4 = 0.
-5, -1/2, -2/7
Suppose w**4/4 - 123*w**3/2 + 15369*w**2/4 - 7259*w - 11163 = 0. What is w?
-1, 3, 122
Let 21*y**2 - 162*y - 48 = 0. Calculate y.
-2/7, 8
Factor 9*i**5 - 135*i**4 + 570*i**3 - 1450*i**2/3 + 455*i/3 - 49/3.
(i - 7)**2*(3*i - 1)**3/3
Factor 3*y**3 + 45*y**2 + 225*y + 375.
3*(y + 5)**3
Factor i**2/3 - 878*i/3 + 192721/3.
(i - 439)**2/3
Factor -2*q**3/3 - 364*q**2/3 + 742*q/3 + 368.
-2*(q - 3)*(q + 1)*(q + 184)/3
Solve -294*k**5/5 + 1162*k**4/5 - 1436*k**3/5 + 552*k**2/5 + 16*k - 64/5 = 0.
-2/7, 4/7, 2/3, 1, 2
Factor 4*l**2/9 + 976*l/9 + 2212/3.
4*(l + 7)*(l + 237)/9
Factor 2*o**4/3 - 80*o**3/3 - 150*o**2.
2*o**2*(o - 45)*(o + 5)/3
Solve 16*z**4 - 4436*z**3 + 305796*z**2 + 232964*z - 77284 = 0.
-1, 1/4, 139
Find r such that r**3/4 - 171*r**2/4 + 8775*r/4 - 118125/4 = 0.
21, 75
Let 25*n**4 - 1685*n**3 + 7070*n**2 - 8860*n + 2520 = 0. Calculate n.
2/5, 2, 63
Factor -f**3/4 + 19*f**2 + 79*f/4 - 77/2.
-(f - 77)*(f - 1)*(f + 2)/4
What is g in 12*g**5/13 - 50*g**4/13 - 16*g**3/13 + 148*g**2/13 + 84*g/13 - 18/13 = 0?
-1, 1/6, 3
Suppose 4*m**5 - 80*m**4 - 100*m**3 + 320*m**2 + 336*m = 0. What is m?
-2, -1, 0, 2, 21
Factor 122018*l**2 + 5928*l + 72.
2*(247*l + 6)**2
Factor 4*o**2 - 92*o + 88.
4*(o - 22)*(o - 1)
Determine o so that -5*o**3/2 - 25*o**2/2 + 20*o + 30 = 0.
-6, -1, 2
Factor j**3/5 + 509*j**2/5 + 65024*j/5 + 64516/5.
(j + 1)*(j + 254)**2/5
Factor 2*f**2/11 - 14*f/11 - 116.
2*(f - 29)*(f + 22)/11
Find g such that -g**4/9 + 4*g**3/9 - 4*g**2/9 = 0.
0, 2
Factor -g**5 + 5*g**4 + 99*g**3 + 351*g**2 + 378*g.
-g*(g - 14)*(g + 3)**3
Suppose f**5/9 - 5*f**4/3 + 49*f**3/9 - 19*f**2/3 + 22*f/9 = 0. What is f?
0, 1, 2, 11
Factor -4*o**3 + 44*o**2 - 28*o - 588.
-4*(o - 7)**2*(o + 3)
Factor 4*i**5 - 48*i**4 - 472*i**3 - 1088*i**2 - 972*i - 304.
4*(i - 19)*(i + 1)**3*(i + 4)
Determine v so that 3*v**5/8 + 27*v**4/8 - 27*v**3/4 - 243*v**2/4 + 243*v/8 + 2187/8 = 0.
-9, -3, 3
Factor 3*v**3 + 36*v**2 + 63*v + 30.
3*(v + 1)**2*(v + 10)
Find n such that -2*n**2 - 3028*n - 1146098 = 0.
-757
Factor -4*w**3 - 28*w**2 + 4*w + 28.
-4*(w - 1)*(w + 1)*(w + 7)
Find p such that 4*p**3 - 6448*p**2 + 6445*p - 1611 = 0.
1/2, 1611
Suppose 28*s**5/5 + 384*s**4/5 + 1932*s**3/5 + 824*s**2 + 2688*s/5 - 1152/5 = 0. What is s?
-4, -3, 2/7
Factor 3*a**3 - 21*a**2 - 24*a.
3*a*(a - 8)*(a + 1)
Factor 7396*j**5 - 45408*j**4 + 6228*j**3 - 216*j**2.
4*j**2*(j - 6)*(43*j - 3)**2
Suppose 5*a**2 - 18760*a - 18765 = 0. What is a?
-1, 3753
Factor m**4/3 - m**3 - m**2/3 + m.
m*(m - 3)*(m - 1)*(m + 1)/3
Factor 4*w**2 - 4*w - 168.
4*(w - 7)*(w + 6)
Determine l, given that -46*l**4/9 + 824*l**3/9 - 896*l**2/3 - 9440*l/9 - 800/9 = 0.
-2, -2/23, 10
Suppose 2*n**4/9 - 38*n**3/9 + 154*n**2/9 - 202*n/9 + 28/3 = 0. What is n?
1, 3, 14
Factor 2*l**2/15 + 4*l/15 - 2/5.
2*(l - 1)*(l + 3)/15
Factor -w**4/6 - 472*w**3/3 - 55696*w**2 - 26288512*w/3 - 1551022208/3.
-(w + 236)**4/6
Factor q**3/5 + 253*q**2 + 400688*q/5 + 399424/5.
(q + 1)*(q + 632)**2/5
Factor -4*g**3/5 + 104*g**2.
-4*g**2*(g - 130)/5
Find c, given that -c**5/7 - 22*c**4/7 - 120*c**3/7 + 22*c**2/7 + 121*c/7 = 0.
-11, -1, 0, 1
Factor -5*z**2 + 5*z + 60.
-5*(z - 4)*(z + 3)
Solve 16*x**4 + 40*x**3 + 17*x**2 + 2*x = 0 for x.
-2, -1/4, 0
Determine u, given that 5*u**5/4 - 35*u**4 + 245*u**3/4 + 215*u**2/2 - 265*u + 130 = 0.
-2, 1, 2, 26
Factor -5*j**2 + 195*j.
-5*j*(j - 39)
Factor -28*x**4 + 8*x**3 + 28*x**2 - 8*x.
-4*x*(x - 1)*(x + 1)*(7*x - 2)
Suppose -2*z**3/7 + 942*z**2/7 - 147894*z/7 + 7739786/7 = 0. What is z?
157
Factor 5*q**2 + 40*q + 60.
5*(q + 2)*(q + 6)
Suppose h**2/5 + 3*h/5 - 4/5 = 0. Calculate h.
-4, 1
Factor 2*c**2/13 - 52*c - 1360/13.
2*(c - 340)*(c + 2)/13
Let 49*t**4/6 + 273*t**3 + 13213*t**2/6 - 1326*t + 578/3 = 0. Calculate t.
-17, 2/7
Find q such that -2*q**4/5 - 4*q**3/5 + 2*q**2/5 + 4*q/5 = 0.
-2, -1, 0, 1
Solve -4*l**5/5 + 64*l**4/5 - 244*l**3/5 - 40*l**2 + 896*l/5 - 512/5 = 0 for l.
-2, 1, 8
Determine d, given that 4*d**2 - 1532*d - 1536 = 0.
-1, 384
Factor 2*r**3 + 16*r**2/5 - 8*r/5.
2*r*(r + 2)*(5*r - 2)/5
What is h in -35*h**5/4 + 431*h**4/4 - 203*h**3 - 4*h**2 + 88*h + 20 = 0?
-2/5, -2/7, 1, 2, 10
Factor 2*h**2/17 - 10056*h/17 + 12640392/17.
2*(h - 2514)**2/17
Factor m**2/3 + 208*m/3 + 69.
(m + 1)*(m + 207)/3
Find q, given that -4*q**4/5 + 76*q**3 - 1116*q**2/5 + 1108*q/5 - 368/5 = 0.
1, 92
Solve -54*c**4/5 + 813*c**3/5 - 1287*c**2/5 - 2037*c/5 + 117/5 = 0.
-1, 1/18, 3, 13
Solve -2*q**2 - 194*q - 3600 = 0.
-72, -25
Determine w, given that 5*w**3/2 - 755*w**2/2 + 745*w = 0.
0, 2, 149
Suppose 2*d**5 - 10*d**4 + 13*d**3/2 + 33*d**2 - 117*d/2 + 27 = 0. What is d?
-2, 1, 3/2, 3
Suppose 3*c**3 - 336*c**2 + 1935*c - 2862 = 0. Calculate c.
3, 106
Find i, given that -i**2 + 4*i + 45 = 0.
-5, 9
Factor -h**4 + 6*h**3 + 24*h**2 + 26*h + 9.
-(h - 9)*(h + 1)**3
Factor 2*x**3/9 - 226*x**2/9 + 518*x + 11466.
2*(x - 63)**2*(x + 13)/9
Factor 3*u**2/4 + 2841*u + 2690427.
3*(u + 1894)**2/4
Factor 2*k**4/9 - 70*k**3/9 - 146*k**2/9 - 74*k/9.
2*k*(k - 37)*(k + 1)**2/9
What is g in 2*g**3 - 56*g**2 + 142*g + 200 = 0?
-1, 4, 25
Solve 4*t**5/7 + 12*t**4/7 - 96*t**3/7 - 320*t**2/7 = 0 for t.
-4, 0, 5
Suppose -k**2/2 - 56*k + 114 = 0. What is k?
-114, 2
Let -35*i**3/4 - 7160*i**2 - 5863015*i/4 - 836405/2 = 0. What is i?
-409, -2/7
Factor -a**5 - 438*a**4 - 64382*a**3 - 3238720*a**2 - 9272025*a - 6097250.
-(a + 1)*(a + 2)*(a + 145)**3
Factor 4*h**2/9 + 32*h - 292/9.
4*(h - 1)*(h + 73)/9
Determine g, given that 3*g**2/2 + 7227*g/2 - 7233 = 0.
-2411, 2
Factor -2*d**4 + 10*d**3 + 16*d**2 - 24*d.
-2*d*(d - 6)*(d - 1)*(d + 2)
What is y in 20*y**4 - 88*y**3 + 112*y**2 - 32*y = 0?
0, 2/5, 2
Factor 2*i**2/15 + 2*i/5.
2*i*(i + 3)/15
Let -4*w**4 - 3016*w**3 - 565492*w**2 + 1140048*w - 571536 = 0. What is w?
-378, 1
Let -2*t**3/7 - 16*t**2/7 + 38*t/7 - 20/7 = 0. What is t?
-10, 1
Solve -2*f**2/11 + 50*f/11 - 48/11 = 0.
1, 24
Find a, given that -2*a**4/5 + 92*a**3/5 - 288*a**2 + 1620*a - 1350 = 0.
1, 15
Factor -u**3 + 19*u**2 - 50*u + 32.
-(u - 16)*(u - 2)*(u - 1)
Let 6*n**4 - 553*n**3 + 628*n**2 + 817*n + 182 = 0. What is n?
-1/2, -1/3, 2, 91
Factor -3*i**3 + 63*i**2 - 117*i - 2535.
-3*(i - 13)**2*(i + 5)
Find f, given that f**5 + 2*f**4 + f**3 = 0.
-1, 0
Factor -5*d**3 + 5*d**2 + 160*d - 300.
-5*(d - 5)*(d - 2)*(d + 6)
Suppose 5*w**4/2 + 5*w**3 - 20*w**2 = 0. What is w?
-4, 0, 2
Find c such that 2*c**2/5 + 2152*c/5 + 430 = 0.
-1075, -1
Factor -h**4/2 - 25*h**3/2 - 84*h**2 - 202*h - 160.
-(h + 2)**2*(h + 5)*(h + 16)/2
Factor y**3/2 + 3*y**2 - 27*y/2.
y*(y - 3)*(y + 9)/2
Solve -49*p**5 - 903*p**4 + 7437*p**3 - 15049*p**2 + 6864*p - 900 = 0.
-25, 2/7, 3
Factor -i**2/2 - 5*i/2 + 102.
-(i - 12)*(i + 17)/2
Factor -4*y**3/7 - 20*y**2/7 - 4*y - 12/7.
-4*(y + 1)**2*(y + 3)/7
What is q in 2*q**2 + 8*q + 8 = 0?
-2
Suppose -10*l**3/7 - 32*l**2/7 - 8*l/7 + 32/7 = 0. What is l?
-2, 4/5
Factor -m**2 + 4*m + 165.
-(m - 15)*(m + 11)
Factor -2*b**2/3 - 2*b + 20/3.
-2*(b - 2)*(b + 5)/3
Factor -j**3/2 + 27*j**2/2 + 44*j + 30.
-(j - 30)*(j + 1)*(j + 2)/2
Factor -2*j**5 - 8*j**4 - 10*j**3 - 4*j**2.
-2*j**2*(j + 1)**2*(j + 2)
Factor b**5/5 + 8*b**4/5 + 5*b**3 + 38*b**2/5 + 28*b/5 + 8/5.
(b + 1)**2*(b + 2)**3/5
What is b in 3*b**2/2 - 1845*b + 1134675/2 = 0?