**2/3 - 8*m/3 = 0.
-2, -1, 0, 2/5
Find x, given that 2*x**2/7 - 8*x + 150/7 = 0.
3, 25
Determine d so that 6*d**3/7 - 4008*d**2/7 - 4026*d/7 + 8028/7 = 0.
-2, 1, 669
Factor -2*n**3/3 - 222*n**2 + 446*n - 670/3.
-2*(n - 1)**2*(n + 335)/3
Suppose -4*k**2 + 56*k + 288 = 0. Calculate k.
-4, 18
Factor 4*a**2 + 1004*a + 1000.
4*(a + 1)*(a + 250)
Factor i**3/4 - i**2/4 - i/4 + 1/4.
(i - 1)**2*(i + 1)/4
Factor -2*y**2 - 13036*y.
-2*y*(y + 6518)
Solve -2*z**3/3 - 58*z**2/3 + 122*z/3 - 62/3 = 0.
-31, 1
Let -3*p**3/8 - 327*p**2/8 - 11205*p/8 - 115425/8 = 0. What is p?
-45, -19
Suppose 5*u**2 + 9700*u + 4704500 = 0. What is u?
-970
Let -9*j**5 - 57*j**4 - 120*j**3 - 72*j**2 + 48*j + 48 = 0. Calculate j.
-2, -1, 2/3
Factor -r**3/4 + 121*r**2 - 483*r/4.
-r*(r - 483)*(r - 1)/4
Factor -5*k**3 + 650*k**2 - 1915*k + 1270.
-5*(k - 127)*(k - 2)*(k - 1)
Let 3*l**2 + 324*l = 0. What is l?
-108, 0
Factor -5*c**2 - 25*c - 20.
-5*(c + 1)*(c + 4)
Determine k, given that -2*k**3 + 24*k**2/7 + 158*k/7 - 120/7 = 0.
-3, 5/7, 4
Determine n, given that -n**3/3 + 48*n**2 - 1575*n - 11250 = 0.
-6, 75
Determine h, given that -33*h**4/7 - 501*h**3/7 + 5454*h**2/7 - 11136*h/7 - 2208/7 = 0.
-23, -2/11, 4
Let 5*h**3 - 210*h**2 + 405*h - 200 = 0. Calculate h.
1, 40
Let 3*q**5 - 48*q**4 - 9*q**3 + 150*q**2 - 96*q = 0. What is q?
-2, 0, 1, 16
Determine i, given that 3*i**5 + 44*i**4 + 187*i**3 + 334*i**2 + 260*i + 72 = 0.
-9, -2, -1, -2/3
Solve 2*n**3/5 + 52*n**2/5 + 88*n + 240 = 0 for n.
-10, -6
Find v, given that 2*v**2/3 - 74*v/3 + 140/3 = 0.
2, 35
Determine m, given that -2*m**3/3 - 2*m**2/3 = 0.
-1, 0
Factor -3*n**3 + 96*n**2 + 987*n - 1080.
-3*(n - 40)*(n - 1)*(n + 9)
Determine r, given that 5*r**4 + 22*r**3 - 67*r**2 - 120*r - 36 = 0.
-6, -1, -2/5, 3
Solve -h**2 + 5*h + 14 = 0 for h.
-2, 7
Solve 3*k**3 + 543*k**2 + 24297*k - 24843 = 0.
-91, 1
Find d, given that 2*d**3 - 610*d**2 + 2988*d + 3600 = 0.
-1, 6, 300
Factor p**4 - 7*p**3 + 13*p**2 + 3*p - 18.
(p - 3)**2*(p - 2)*(p + 1)
Factor -4*u**3 - 56*u**2 + 196*u - 136.
-4*(u - 2)*(u - 1)*(u + 17)
Suppose -20*m**3 - 101*m**2 - 125*m - 6 = 0. What is m?
-3, -2, -1/20
Factor -g**4 - 472*g**3 - 74418*g**2 - 3943840*g - 3869893.
-(g + 1)*(g + 157)**3
Find z such that -28*z**4 + 272*z**3 + 2068*z**2 + 2248*z + 480 = 0.
-4, -1, -2/7, 15
Factor -5*r**2 + 140*r.
-5*r*(r - 28)
Solve -2*f**4/9 + 44*f**3/9 - 38*f**2/9 - 28*f/3 = 0.
-1, 0, 2, 21
Determine v so that 3*v**3/4 - 15*v**2/4 + 3*v/2 + 6 = 0.
-1, 2, 4
Factor -k**2 - 1146*k - 328329.
-(k + 573)**2
Factor 2*u**4 + 2066*u**3 - 2*u**2 - 2066*u.
2*u*(u - 1)*(u + 1)*(u + 1033)
Let 2*r**2 + 4132*r - 4134 = 0. Calculate r.
-2067, 1
What is o in -2*o**2/11 + 4968*o/11 - 3085128/11 = 0?
1242
Suppose 3*x**4/7 + 3258*x**3/7 + 1179396*x**2/7 + 142313784*x/7 = 0. Calculate x.
-362, 0
Find q, given that 147*q**4 + 434*q**3 + 311*q**2 + 64*q + 4 = 0.
-2, -2/3, -1/7
Find w, given that -5*w**4 - 150*w**3 - 960*w**2 + 2560*w = 0.
-16, 0, 2
Factor 32*j**2 + 124*j - 16.
4*(j + 4)*(8*j - 1)
What is w in -2*w**4/7 + 2*w**3/7 + 10*w**2/7 + 6*w/7 = 0?
-1, 0, 3
Factor -3*v**5/4 - 3*v**4 + 27*v**3/2 - 15*v**2 + 21*v/4.
-3*v*(v - 1)**3*(v + 7)/4
Solve -1125*h**5 - 44700*h**4 - 479645*h**3 - 681950*h**2 + 207860*h - 14440 = 0 for h.
-19, -2, 2/15
Let l**5/5 + 148*l**4/5 + 431*l**3/5 - 116*l**2 = 0. What is l?
-145, -4, 0, 1
Factor 3*i**2/5 + 54*i/5 + 96/5.
3*(i + 2)*(i + 16)/5
Let -2*t**3/3 + 4*t**2/3 + 14*t/3 + 8/3 = 0. Calculate t.
-1, 4
Factor -3*s**3 - 48*s**2 - 144*s.
-3*s*(s + 4)*(s + 12)
Let n**3 - 46*n**2 = 0. Calculate n.
0, 46
Factor 2*o**3/7 + 8*o**2 - 2018*o/7 + 280.
2*(o - 20)*(o - 1)*(o + 49)/7
Suppose -w**3 + 46*w**2 - 43*w - 90 = 0. Calculate w.
-1, 2, 45
Determine d, given that -5*d**3 - 100*d**2 - 555*d - 900 = 0.
-12, -5, -3
Find u such that 3*u**5/5 + 33*u**4/5 + 81*u**3/5 + 15*u**2 + 24*u/5 = 0.
-8, -1, 0
Factor m**2/6 + 43*m/6 + 7.
(m + 1)*(m + 42)/6
Solve 4*x**5 + 256*x**4 + 4804*x**3 + 23000*x**2 + 42224*x + 26912 = 0 for x.
-29, -2
Let 2*o**5/9 + 46*o**4/9 + 134*o**3/9 - 2318*o**2/9 - 9568*o/9 - 9464/9 = 0. What is o?
-13, -2, 7
Find l such that -3*l**3/4 - 39*l**2/4 - 69*l/4 - 33/4 = 0.
-11, -1
Suppose -147*d**5 - 602*d**4 - 978*d**3 - 788*d**2 - 315*d - 50 = 0. What is d?
-1, -5/7, -2/3
Suppose -2*d**2 - 84*d - 370 = 0. What is d?
-37, -5
Find o such that -3*o**2/2 + 69*o/2 - 90 = 0.
3, 20
Suppose -r**2/6 - 50*r/3 - 98/3 = 0. Calculate r.
-98, -2
Factor 2*l**3/5 - 536*l**2/5 + 534*l/5.
2*l*(l - 267)*(l - 1)/5
Factor -5*v**2 - 1350*v - 6625.
-5*(v + 5)*(v + 265)
Determine d, given that -6*d**2 - 346*d + 116 = 0.
-58, 1/3
Factor -5*h**3 - 235*h**2 - 1195*h + 1435.
-5*(h - 1)*(h + 7)*(h + 41)
Factor -v**4/8 - 5*v**3/4 - 4*v**2 - 19*v/4 - 15/8.
-(v + 1)**2*(v + 3)*(v + 5)/8
Factor -21*k**3 + 3*k**2 + 21*k - 3.
-3*(k - 1)*(k + 1)*(7*k - 1)
What is y in 2*y**3/7 + 160*y**2/7 - 326*y/7 + 164/7 = 0?
-82, 1
Let 4*f**3/7 + 20*f**2/7 + 32*f/7 + 16/7 = 0. What is f?
-2, -1
Let -4*r**4/11 - 21*r**3/11 - r**2/11 + 21*r/11 + 5/11 = 0. What is r?
-5, -1, -1/4, 1
Factor 4*m**4 + 62*m**3/15 + 2*m**2/15.
2*m**2*(m + 1)*(30*m + 1)/15
Factor 5*u**2 + 50*u + 45.
5*(u + 1)*(u + 9)
Factor -62*i**3/3 - 66*i**2 - 12*i.
-2*i*(i + 3)*(31*i + 6)/3
Suppose 8*q**5/3 - 68*q**4 + 531*q**3/2 - 288*q**2 + 189*q/2 = 0. What is q?
0, 3/4, 3, 21
Determine w, given that 5*w**3 + 3480*w**2 + 605520*w = 0.
-348, 0
Solve 2*m**5/3 - 14*m**4/3 + 14*m**3/3 + 38*m**2/3 - 32*m/3 - 40/3 = 0 for m.
-1, 2, 5
Find c, given that c**2 - 8936*c + 19963024 = 0.
4468
Find o such that -3*o**4 - 39*o**3 - 171*o**2 - 285*o - 150 = 0.
-5, -2, -1
Let -m**4/6 - 5*m**3/2 - 37*m**2/3 - 22*m - 12 = 0. Calculate m.
-6, -2, -1
Factor 4*r**2 - 112*r.
4*r*(r - 28)
Factor -2*p**4/5 - 18*p**3 - 966*p**2/5 + 1058*p/5.
-2*p*(p - 1)*(p + 23)**2/5
Solve 3*z**4/8 - 3*z**3/2 + 3*z**2/2 = 0.
0, 2
Factor -2*i**2/5 - 138*i/5.
-2*i*(i + 69)/5
Solve 5*z**2 - 1450*z + 105125 = 0.
145
Factor 4*j**4 - 28*j**3 - 276*j**2 - 468*j.
4*j*(j - 13)*(j + 3)**2
Factor -75*i**3 - 50205*i**2 - 20073*i - 2007.
-3*(i + 669)*(5*i + 1)**2
Factor c**2 - 9*c.
c*(c - 9)
Determine k so that -3*k**2/4 - 189*k/2 - 11907/4 = 0.
-63
Solve -2*i**2/5 + 52*i/5 - 96/5 = 0 for i.
2, 24
Determine j so that 5*j**3 + 925*j**2 + 42315*j - 43245 = 0.
-93, 1
Factor 3*t**4 - 489*t**3 - 492*t**2.
3*t**2*(t - 164)*(t + 1)
Find z such that 2*z**3/13 + 28*z**2/13 + 2*z = 0.
-13, -1, 0
Solve -5*y**4 - 50*y**3 + 255*y**2 + 2160*y - 4860 = 0 for y.
-9, 2, 6
Factor 3*q**4/5 + 3*q**3 + 24*q**2/5 + 12*q/5.
3*q*(q + 1)*(q + 2)**2/5
Factor -3*x**2 + 1596*x + 4815.
-3*(x - 535)*(x + 3)
Suppose -2*f**2/23 - 34*f/23 - 120/23 = 0. What is f?
-12, -5
Find r such that 4*r**4 - 68*r**3 - 464*r**2 + 528*r = 0.
-6, 0, 1, 22
Find f such that 3*f**3 - 3282*f**2 = 0.
0, 1094
Solve -5*v**3 - 570*v**2 = 0.
-114, 0
Factor -2*l**3/11 + 8*l/11.
-2*l*(l - 2)*(l + 2)/11
Factor 3*r**4 + 102*r**3 + 864*r**2 - 102*r - 867.
3*(r - 1)*(r + 1)*(r + 17)**2
Determine z, given that z**2 - z = 0.
0, 1
Let -4*b**4 - 28*b**3 + 12*b**2 + 220*b - 200 = 0. What is b?
-5, 1, 2
Find r such that -r**4/7 + 1032*r**3/7 - 1031*r**2/7 = 0.
0, 1, 1031
Find m such that 2*m**3 - 36*m**2 + 48*m + 256 = 0.
-2, 4, 16
Let 3*t**5/5 + 69*t**4/5 + 453*t**3/5 + 711*t**2/5 + 324*t/5 = 0. What is t?
-12, -9, -1, 0
Factor 2*r**2 - 136*r + 134.
2*(r - 67)*(r - 1)
Factor 5*z**5 + 5*z**4 - 70*z**3 - 120*z**2.
5*z**2*(z - 4)*(z + 2)*(z + 3)
Factor 53*x**2/2 - 60*x.
x*(53*x - 120)/2
Factor 20*q**3 - 308*q**2 + 108*q + 180.
4*(q - 15)*(q - 1)*(5*q + 3)
Solve 2*s**2 + 228*s + 6498 = 0.
-57
Factor -3*u**2 + 96*u - 768.
-3*(u - 16)**2
Factor -4*s**4 + 19376*s**3 - 35196504*s**2 + 28415310896*s - 8602735373764.
-4*(s - 1211)**4
Find j such that 5*j**3 - 40*j**2 - 165*j = 0.
-3, 0, 11
Factor 357*p**3/2 - 44*p**2 - 2*p.
p*(7*p - 2)*(51*p + 2)/2
What is c in 5*c**2 - 320*c + 315 = 0?
1, 63
Find w such that -w**2 - 342*w - 29241 = 0.
-171
Let 2*h**2/3 + 94*h + 276 = 0. What is h?
-138, -3
Factor -z**2/2 + 3*z/2 + 2.
-(z - 4)*(z + 1)/2
Find x, given that -24*x**4 + 20*x**3 + 2648*x**2 + 436*x - 440 = 0.
-10, -1/2, 1/3, 11
Suppose -15*h**3 + 5538*h**2 - 1107*h = 0. Calculate h.
0, 1/5, 369
Determine l, given that -3*l**3 - 909*l**2 - 91809*l - 3090903 = 0.
-101
Factor 6*o**3/7 