(q + 2)/19
Let -14*f**3/9 - 68*f**2/9 - 46*f/9 + 8/9 = 0. Calculate f.
-4, -1, 1/7
Determine v, given that -v**4/4 - 497*v**3/4 + 499*v**2/4 + 497*v/4 - 249/2 = 0.
-498, -1, 1
Factor -4*q**2/7 + 24*q/7 + 64/7.
-4*(q - 8)*(q + 2)/7
What is p in -2*p**4 - 68*p**3 - 576*p**2 + 68*p + 578 = 0?
-17, -1, 1
Find n such that -n**2 + 963*n = 0.
0, 963
Determine c, given that -15*c**3 - 190*c**2 + 75*c + 130 = 0.
-13, -2/3, 1
What is b in -5*b**4 + 1155*b**3 - 66120*b**2 - 67280*b = 0?
-1, 0, 116
Determine h, given that -3*h**4/7 + 108*h**3/7 - 396*h**2/7 + 384*h/7 = 0.
0, 2, 32
Factor -m**4 - 43*m**3 - 83*m**2 - 41*m.
-m*(m + 1)**2*(m + 41)
Suppose -2*d**4/3 + 20*d**3/9 - 14*d**2/9 - 8*d/9 + 8/9 = 0. Calculate d.
-2/3, 1, 2
Factor u**3/4 - 139*u**2/4 + 136*u - 135.
(u - 135)*(u - 2)**2/4
Factor o**2 + 206*o + 10609.
(o + 103)**2
Find s, given that s**3/4 + 17*s**2/2 + 16*s = 0.
-32, -2, 0
Determine a so that 2*a**5/9 + 2*a**4/9 - 22*a**3/3 + 118*a**2/9 - 56*a/9 = 0.
-7, 0, 1, 4
Suppose -t**3 - 955*t**2/3 - 25387*t - 8427 = 0. What is t?
-159, -1/3
Determine l so that l**3/2 - 27*l**2/2 - 60*l - 62 = 0.
-2, 31
Find m such that -4*m**4 + 624*m**3 + 28*m**2 - 4344*m - 3744 = 0.
-2, -1, 3, 156
Let 2*q**2/3 + 368*q/3 + 122 = 0. What is q?
-183, -1
Factor -5*t**2 - 220*t.
-5*t*(t + 44)
Factor 5*c**3 + 35*c**2 - 205*c + 165.
5*(c - 3)*(c - 1)*(c + 11)
Let -2*f**5/9 - 10*f**4/9 + 16*f**3/9 + 152*f**2/9 + 256*f/9 + 128/9 = 0. Calculate f.
-4, -2, -1, 4
Factor 2*p**3/7 - 50*p**2/7 + 286*p/7 + 338/7.
2*(p - 13)**2*(p + 1)/7
Factor -w**3/3 + 17*w**2/3 - 80*w/3 + 64/3.
-(w - 8)**2*(w - 1)/3
Factor -5*s**2 - 10*s + 15.
-5*(s - 1)*(s + 3)
Factor 2*y**3/7 + 48*y**2/7 + 6*y - 92/7.
2*(y - 1)*(y + 2)*(y + 23)/7
Find m such that -2*m**4/13 + 14*m**3/13 - 8*m**2/13 - 24*m/13 = 0.
-1, 0, 2, 6
Let -2*w**5 + 72*w**4 - 66*w**3 - 140*w**2 = 0. Calculate w.
-1, 0, 2, 35
Solve 40*f**3/9 - 194*f**2/9 - 34*f/9 + 20/9 = 0.
-2/5, 1/4, 5
Find d, given that -2*d**2/5 - 168*d/5 = 0.
-84, 0
Determine o so that 9*o**2 - 75*o/2 + 63/2 = 0.
7/6, 3
Solve -2*d**5 + 8*d**4 + 10*d**3 - 40*d**2 - 8*d + 32 = 0 for d.
-2, -1, 1, 2, 4
Factor -r**2 - 839*r + 840.
-(r - 1)*(r + 840)
Factor u**4 - u**3 - 12*u**2.
u**2*(u - 4)*(u + 3)
Factor -f**3 - 23*f**2.
-f**2*(f + 23)
Factor -4*o**3 + 20*o**2 + 128*o + 144.
-4*(o - 9)*(o + 2)**2
Determine c, given that -c**5/4 - 2*c**4 - 25*c**3/4 - 19*c**2/2 - 7*c - 2 = 0.
-2, -1
Determine o so that -8*o**4/11 + 130*o**3/11 - 24*o**2/11 - 130*o/11 + 32/11 = 0.
-1, 1/4, 1, 16
What is n in -9*n**4 - 114*n**3 - 168*n**2 - 30*n + 33 = 0?
-11, -1, 1/3
Solve 9*g**5 - 12*g**4 - 276*g**3 + 642*g**2 - 453*g + 90 = 0.
-6, 1/3, 1, 5
Factor 4*u**5 + 4*u**4 - 4*u**3 - 4*u**2.
4*u**2*(u - 1)*(u + 1)**2
Let s**2/4 - 223*s/2 + 222 = 0. Calculate s.
2, 444
Factor 2*y**2/9 - 2*y + 40/9.
2*(y - 5)*(y - 4)/9
Suppose -6*j**2/7 - 228*j/7 + 234/7 = 0. What is j?
-39, 1
Factor 4*q**3/3 - 188*q**2/3 + 2300*q/3 - 2116/3.
4*(q - 23)**2*(q - 1)/3
Solve t**3/2 + 10*t**2 + 53*t/2 + 17 = 0.
-17, -2, -1
Solve 26*b**5/3 + 62*b**4/3 + 4*b**3/3 - 32*b**2/3 = 0.
-2, -1, 0, 8/13
Factor 3*l**3 + 78*l**2 + 69*l - 150.
3*(l - 1)*(l + 2)*(l + 25)
What is c in -4*c**3 - 136*c**2 - 1280*c - 2048 = 0?
-16, -2
Factor -3*v**3 - 96*v**2 + 3*v + 96.
-3*(v - 1)*(v + 1)*(v + 32)
Factor -z**3 + 136*z**2 + 276*z.
-z*(z - 138)*(z + 2)
Factor -3*f**2/7 - 585*f/7 + 84.
-3*(f - 1)*(f + 196)/7
Factor 4*z**2 - 28*z - 32.
4*(z - 8)*(z + 1)
Let -9*z**3 + 39*z**2 - 12*z = 0. What is z?
0, 1/3, 4
Suppose h**2 + 9*h + 18 = 0. Calculate h.
-6, -3
Factor m**4/2 - m**3/2.
m**3*(m - 1)/2
Factor 6*k**4 - 2*k**3 - 52*k**2 + 40*k + 48.
2*(k - 2)**2*(k + 3)*(3*k + 2)
Factor -b**2/3 + 164*b/3 + 55.
-(b - 165)*(b + 1)/3
Factor y**4/3 - 2*y**3/3 - 13*y**2/3 - 10*y/3.
y*(y - 5)*(y + 1)*(y + 2)/3
Determine w so that -3*w**5/8 + 21*w**4/4 - 27*w**3/2 + 51*w**2/4 - 33*w/8 = 0.
0, 1, 11
Factor 2*i**3 - 8648*i**2 - 8650*i.
2*i*(i - 4325)*(i + 1)
Find b, given that -2*b**2/9 + 2*b/3 + 4 = 0.
-3, 6
Find k, given that -3*k**2 + 60*k - 192 = 0.
4, 16
Factor 2*a**2 + 22*a + 36.
2*(a + 2)*(a + 9)
Factor -3*t**3 + 138*t**2 + 285*t + 144.
-3*(t - 48)*(t + 1)**2
Let -2*y**5 - 70*y**4 - 636*y**3 - 244*y**2 + 2686*y - 1734 = 0. Calculate y.
-17, -3, 1
Suppose -5*j**5 - 165*j**4 - 1235*j**3 + 2745*j**2 + 9520*j - 17340 = 0. Calculate j.
-17, -3, 2
Factor 2*n**4 - 9*n**3 + 15*n**2 - 11*n + 3.
(n - 1)**3*(2*n - 3)
Factor -6627*s**2 + 1692*s - 108.
-3*(47*s - 6)**2
Let r**2/2 + 414*r - 830 = 0. What is r?
-830, 2
Factor 722*x**2 + 76*x + 2.
2*(19*x + 1)**2
Let 2*o**5/9 + 22*o**4/9 - 26*o**3/9 - 22*o**2/9 + 8*o/3 = 0. What is o?
-12, -1, 0, 1
Let -g**2/5 - g + 594/5 = 0. What is g?
-27, 22
Factor 2*o**4 - 9*o**3 + 3*o**2 + 4*o.
o*(o - 4)*(o - 1)*(2*o + 1)
Solve -5*d**4 - 345*d**3 = 0 for d.
-69, 0
Factor -4*k**2 - 148*k.
-4*k*(k + 37)
Factor -5*x**3 - 250*x**2 - 235*x + 490.
-5*(x - 1)*(x + 2)*(x + 49)
Factor 2*c**4/5 + 98*c**3/5 - 2*c**2/5 - 98*c/5.
2*c*(c - 1)*(c + 1)*(c + 49)/5
Suppose -63*q**2 + 393*q + 138 = 0. What is q?
-1/3, 46/7
Find d, given that d**3 - 15*d**2 + 48*d + 64 = 0.
-1, 8
Determine j so that -4*j**4/7 + 8*j**3/7 + 12*j**2/7 = 0.
-1, 0, 3
Suppose -2*b**2/19 - 16*b/19 - 14/19 = 0. Calculate b.
-7, -1
Factor 5*h**3 + 55*h**2 - 250*h - 1560.
5*(h - 6)*(h + 4)*(h + 13)
Factor t**3 + 17*t**2 + 44*t + 28.
(t + 1)*(t + 2)*(t + 14)
Factor -475*f**3 - 947*f**2 - 469*f + 3.
-(f + 1)**2*(475*f - 3)
Factor -27*d**3 + 48*d**2 + 93*d + 18.
-3*(d - 3)*(d + 1)*(9*d + 2)
What is s in s**3/4 - 5*s**2/2 + 9*s/4 = 0?
0, 1, 9
Solve y**3/5 + 863*y**2/5 + 1723*y/5 + 861/5 = 0.
-861, -1
Factor -3*r**2 + 93*r - 174.
-3*(r - 29)*(r - 2)
Suppose 3*r**5/2 + 12*r**4 + 24*r**3 - 24*r**2 - 120*r - 96 = 0. What is r?
-4, -2, 2
Factor w**4 - 645*w**3 + 138024*w**2 - 9657792*w - 30233088.
(w - 216)**3*(w + 3)
Factor c**3/5 - 506*c**2/5 + 64512*c/5 - 127008/5.
(c - 252)**2*(c - 2)/5
Solve 3*w**4/8 + 27*w**3/8 + 45*w**2/8 - 75*w/8 = 0.
-5, 0, 1
Suppose 2*s**2 + 28*s + 98 = 0. What is s?
-7
Factor 3*q**2/2 - 573*q + 2268.
3*(q - 378)*(q - 4)/2
Factor -46*t**2/11 + 20*t + 50/11.
-2*(t - 5)*(23*t + 5)/11
Find j such that j**3 - 5*j**2/3 + j/3 + 1/3 = 0.
-1/3, 1
Factor 5*b**3/3 + 35*b**2/3 + 80*b/3 + 20.
5*(b + 2)**2*(b + 3)/3
Suppose 3*g**4 + 138*g**3 - 432*g**2 + 438*g - 147 = 0. What is g?
-49, 1
Find l such that -l**5 + 19*l**4 + l**3 - 19*l**2 = 0.
-1, 0, 1, 19
Factor -2*t**2/5 + 58*t/5 - 108/5.
-2*(t - 27)*(t - 2)/5
Factor -m**2/2 - 3*m - 5/2.
-(m + 1)*(m + 5)/2
Factor -4*z**4/11 + 5*z**3/11 - z**2/11.
-z**2*(z - 1)*(4*z - 1)/11
Suppose -2*s**3/7 + 660*s**2/7 - 54450*s/7 = 0. What is s?
0, 165
Factor -m**2/2 + 23*m - 45/2.
-(m - 45)*(m - 1)/2
Suppose -2*v**4/9 + 6*v**3 - 52*v**2/9 = 0. What is v?
0, 1, 26
Factor 2*o**2/3 + 482*o/3 + 476.
2*(o + 3)*(o + 238)/3
Let -3*n**4 - 1701*n**3/5 - 2328*n**2/5 + 540*n + 1344/5 = 0. What is n?
-112, -2, -2/5, 1
Factor 5*u**3 + 130*u**2 + 245*u + 120.
5*(u + 1)**2*(u + 24)
Determine t, given that -4*t**5 + 12*t**4 + 36*t**3 + 20*t**2 = 0.
-1, 0, 5
Let -5*s**3 + 595*s**2 + 4410*s = 0. Calculate s.
-7, 0, 126
Let u**2 + 32*u + 256 = 0. What is u?
-16
Let -3*i**3 - 2289*i**2 - 437769*i - 435483 = 0. What is i?
-381, -1
Let 4*o**5 - 16*o**4 - 36*o**3 + 64*o**2 + 80*o = 0. Calculate o.
-2, -1, 0, 2, 5
Find o, given that -25*o**3 + 895*o**2 - 1520*o - 340 = 0.
-1/5, 2, 34
Find p such that -3*p**5/7 + 9*p**4/7 - 6*p**3/7 - 6*p**2/7 + 9*p/7 - 3/7 = 0.
-1, 1
Determine i, given that 2*i**2/15 - 78*i/5 = 0.
0, 117
Find m such that m**5/2 - 17*m**4/2 - 391*m**3/2 + 17*m**2/2 + 195*m = 0.
-13, -1, 0, 1, 30
What is u in -2*u**2 - 2896*u - 1048352 = 0?
-724
Solve 4*j**2/5 - 12*j/5 - 32 = 0 for j.
-5, 8
What is n in n**2/6 - 67*n/6 + 65/3 = 0?
2, 65
Factor 3*p**5 + 30*p**4 + 27*p**3.
3*p**3*(p + 1)*(p + 9)
Factor 2*n**2 + 4*n.
2*n*(n + 2)
Factor t**3/4 + 3*t**2/2 + 3*t + 2.
(t + 2)**3/4
Find y such that 4*y**4 - 8*y**3 - 12*y**2 + 16*y + 16 = 0.
-1, 2
What is j in -3*j**4 + 27*j**3 - 84*j**2 + 108*j - 48 = 0?
1, 2, 4
What is n in 5*n**4 + 5*n**3 - 60*n**2 - 140*n - 80 = 0?
-2, -1, 4
Determine a so that -4*a**3/7 + 328*a**2/7 + 896*a = 0.
-16, 0, 98
Factor 4*n**3 + 172*n**2 - 176*n.
4*n*(n - 1)*(n + 44)
Solve 2*w**2 - 118*w - 244 = 0 for w.
-2,