/3 - 17*r/3 - 24.
-(r + 8)*(r + 9)/3
Suppose -4*p**3 - 4*p**2 + 40*p - 32 = 0. What is p?
-4, 1, 2
Solve -2560*c**5 - 33440*c**4 - 249925*c**3/2 - 199745*c**2/2 - 5880*c - 90 = 0.
-6, -1, -1/32
Suppose 3*c**2 + 159*c + 306 = 0. Calculate c.
-51, -2
Suppose -v**3/9 + 29*v**2/3 + 62*v/3 - 712/9 = 0. What is v?
-4, 2, 89
Find r such that -2*r**4/5 - 10*r**3 + 362*r**2/5 - 62*r = 0.
-31, 0, 1, 5
Factor 5*b**2/6 - 5690*b/3 + 3237610/3.
5*(b - 1138)**2/6
Solve -2*f**5/9 - 106*f**4/9 + 4*f**3/9 + 212*f**2/9 - 2*f/9 - 106/9 = 0.
-53, -1, 1
Factor t**2/2 - 2389*t/2 - 1195.
(t - 2390)*(t + 1)/2
Solve 4*o**2 + 72*o + 308 = 0.
-11, -7
Factor -5*r**3 - 80*r**2 - 125*r + 210.
-5*(r - 1)*(r + 3)*(r + 14)
Suppose 3*x**3 + 29*x**2 + 17*x - 9 = 0. What is x?
-9, -1, 1/3
Let -3*p**3 - 27*p**2 - 33*p + 63 = 0. What is p?
-7, -3, 1
Let 3*r**4 - 42*r**3 + 129*r**2 - 90*r = 0. Calculate r.
0, 1, 3, 10
Factor -3*f**4 + 36*f**3 - 27*f**2 - 66*f.
-3*f*(f - 11)*(f - 2)*(f + 1)
Suppose -w**3/6 + w/2 + 1/3 = 0. What is w?
-1, 2
Factor a**5/9 - a**4/9 - a**3/3 + a**2/9 + 2*a/9.
a*(a - 2)*(a - 1)*(a + 1)**2/9
Factor 3*l**3 - 210*l**2 + 804*l - 792.
3*(l - 66)*(l - 2)**2
Suppose -h**2/4 - 67*h/4 - 33/2 = 0. Calculate h.
-66, -1
Solve -n**5/8 + n**4 + 19*n**3/8 + 5*n**2/4 = 0.
-1, 0, 10
Factor 2*r**2 + 6*r - 8.
2*(r - 1)*(r + 4)
Factor -15*w**2 - 627*w - 492.
-3*(w + 41)*(5*w + 4)
Factor 2*j**2 + 32*j + 96.
2*(j + 4)*(j + 12)
Factor t**4/10 + 27*t**3/5 + 381*t**2/10 + 302*t/5 + 138/5.
(t + 1)**2*(t + 6)*(t + 46)/10
Determine b, given that -3*b**5 - 944*b**4 - 73627*b**3 + 100170*b**2 + 24332*b - 49928 = 0.
-158, -2/3, 1
Suppose -t**4/9 + 185*t**3/9 + 707*t**2/3 + 6835*t/9 + 4900/9 = 0. What is t?
-5, -1, 196
Solve -2*k**4/9 - 104*k**3/9 - 200*k**2/9 = 0.
-50, -2, 0
Factor 4*s**2/5 + 53*s/5 + 13/5.
(s + 13)*(4*s + 1)/5
Suppose 5*g**3 - 60*g**2 - 65*g = 0. What is g?
-1, 0, 13
Solve l**4/3 - l**3 - 97*l**2/3 - 51*l + 84 = 0.
-7, -3, 1, 12
Factor 4*p**4 + 448*p**3.
4*p**3*(p + 112)
Find i, given that 5*i**3 + 20*i**2 + 5*i - 30 = 0.
-3, -2, 1
Find w such that -w**3/4 + 73*w**2/4 - 279*w/4 + 207/4 = 0.
1, 3, 69
Find h such that -462*h**2/5 + 453*h/5 + 9/5 = 0.
-3/154, 1
Suppose d**5/4 + d**4/4 - 5*d**3/4 - 5*d**2/4 + d + 1 = 0. What is d?
-2, -1, 1, 2
Factor -9*k**2 + 42*k - 24.
-3*(k - 4)*(3*k - 2)
Factor -4*z**2 - 776*z - 37636.
-4*(z + 97)**2
Determine f so that -3*f**2 - 1248*f - 129792 = 0.
-208
Suppose 3*s**3 - 36*s**2 - 84*s = 0. What is s?
-2, 0, 14
Factor -5*q**4 + 935*q**3 - 1855*q**2 + 925*q.
-5*q*(q - 185)*(q - 1)**2
Factor g**2/3 - 11*g/3 - 14.
(g - 14)*(g + 3)/3
Factor -3*r**5/7 - 6*r**4/7 + 60*r**3/7 + 24*r**2/7 - 384*r/7 + 384/7.
-3*(r - 2)**3*(r + 4)**2/7
Solve 5*a**4/2 + 90*a**3 - 385*a**2/2 - 90*a + 190 = 0 for a.
-38, -1, 1, 2
Factor -2*c**2 + 162*c - 468.
-2*(c - 78)*(c - 3)
Factor 21*v**3 - 15441*v**2 + 4410*v.
3*v*(v - 735)*(7*v - 2)
Factor -3*p**2 + 264*p + 267.
-3*(p - 89)*(p + 1)
Find l, given that -l**4 + 16*l**3 - 20*l**2 - 304*l - 384 = 0.
-2, 8, 12
Factor -7*n**3/6 + 13*n**2/3 - 13*n/6 - 1.
-(n - 3)*(n - 1)*(7*n + 2)/6
Let -5*s**2 - 160*s - 1275 = 0. What is s?
-17, -15
Factor -10*x**2/13 + 24*x/13 - 8/13.
-2*(x - 2)*(5*x - 2)/13
Factor 2*i**2/5 - 8/5.
2*(i - 2)*(i + 2)/5
Solve i**2/9 + 227*i/9 + 226/9 = 0.
-226, -1
Factor -2*o**3/13 + 3590*o**2/13 - 1609216*o/13 - 1612808/13.
-2*(o - 898)**2*(o + 1)/13
Solve -4*q**4/7 + 425*q**3/7 + 1193*q**2/7 + 654*q/7 = 0 for q.
-2, -3/4, 0, 109
Factor -2*s**2/11 + 78*s/11.
-2*s*(s - 39)/11
Factor 3*c**3/5 - 291*c**2/5 + 4386*c/5 + 936.
3*(c - 78)*(c - 20)*(c + 1)/5
Factor n**2/3 + 70*n/3 + 400.
(n + 30)*(n + 40)/3
Let n**3/3 - 54*n**2 + 315*n - 468 = 0. Calculate n.
3, 156
Factor -z**2/3 + z/3 + 4.
-(z - 4)*(z + 3)/3
Factor s**3/7 + 5*s**2/7 + 8*s/7 + 4/7.
(s + 1)*(s + 2)**2/7
Determine s, given that -3*s**2 + 54*s - 96 = 0.
2, 16
Factor -2*k**4 + 28*k**3 + 6*k**2 - 88*k + 56.
-2*(k - 14)*(k - 1)**2*(k + 2)
Factor -4*j**3/3 + 15*j**2 + 37*j/3 - 4.
-(j - 12)*(j + 1)*(4*j - 1)/3
Solve 7*n**4/8 + 1587*n**3/8 + 44461*n**2/4 - 29127*n/2 + 3249 = 0.
-114, 2/7, 1
Factor 5*y**3 + 955*y**2 + 2830*y + 1880.
5*(y + 1)*(y + 2)*(y + 188)
Suppose -j**5 - 17*j**4 - 93*j**3 - 175*j**2 - 98*j = 0. What is j?
-7, -2, -1, 0
Factor 5*c**2 - 1420*c + 100820.
5*(c - 142)**2
Find v, given that -2*v**4/7 - 382*v**3/7 - 758*v**2/7 - 54*v = 0.
-189, -1, 0
Factor 3*n**2/4 - 15*n/4 - 225/2.
3*(n - 15)*(n + 10)/4
Factor 4*z**4/3 - 228*z**3 + 1332*z**2 - 1980*z.
4*z*(z - 165)*(z - 3)**2/3
Let -99*b**4 + 93*b**3 + 105*b**2 - 93*b - 6 = 0. Calculate b.
-1, -2/33, 1
Let 2*f**5/7 - 64*f**4/7 - 282*f**3/7 - 32*f**2 + 40*f + 288/7 = 0. What is f?
-2, -1, 1, 36
Let -i**2/2 + 23*i/2 + 12 = 0. What is i?
-1, 24
Let -2*w**2/5 - 3432*w/5 - 1472328/5 = 0. What is w?
-858
Suppose -h**5/3 + 136*h**4/3 = 0. What is h?
0, 136
Factor a**2/3 + 19*a/3 + 28.
(a + 7)*(a + 12)/3
Find k, given that 2*k**5 + 42*k**4 + 302*k**3 + 870*k**2 + 992*k + 384 = 0.
-8, -3, -1
Let 100*s**3 - 90*s**2 - 39*s/4 - 1/4 = 0. What is s?
-1/20, 1
Determine u so that u**3/3 + 11*u**2/3 - 40*u/3 + 28/3 = 0.
-14, 1, 2
Determine a, given that -4*a**5 + 216*a**4 - 4080*a**3 + 30056*a**2 - 58956*a = 0.
0, 3, 17
Factor 1125000*m**3/7 + 37000*m**2 + 2018*m/7 + 4/7.
2*(9*m + 2)*(250*m + 1)**2/7
Find c, given that -4*c**5/5 + 3404*c**4/5 - 725896*c**3/5 + 719096*c**2/5 + 145180*c - 144500 = 0.
-1, 1, 425
Suppose 3*b**4/8 + 261*b**3/8 + 693*b**2 - 726*b = 0. What is b?
-44, 0, 1
Determine h, given that -5*h**5/8 + h**4/2 + 21*h**3/8 - 2*h**2 - h/2 = 0.
-2, -1/5, 0, 1, 2
Factor -j**3/9 + 4*j/3 - 16/9.
-(j - 2)**2*(j + 4)/9
Factor x**3/4 - 647*x**2/4 + 483*x.
x*(x - 644)*(x - 3)/4
Solve -5*d**2 + 3265*d + 3270 = 0 for d.
-1, 654
Solve 2*w**3 + 62*w**2 = 0.
-31, 0
Factor 5*j**3 + 35*j**2 + 30*j.
5*j*(j + 1)*(j + 6)
Factor -5*g**3 + 2840*g**2 - 417105*g + 3892050.
-5*(g - 279)**2*(g - 10)
Let -5*z**3 - 5*z**2 = 0. Calculate z.
-1, 0
Let -2*k**4/5 - 14*k**3/5 - 34*k**2/5 - 34*k/5 - 12/5 = 0. What is k?
-3, -2, -1
Suppose 4*g**2/15 + 62*g/3 + 152/5 = 0. Calculate g.
-76, -3/2
Factor -2*i**2 + 16*i/3 - 8/3.
-2*(i - 2)*(3*i - 2)/3
Determine b so that -3*b**3/5 + 132*b**2/5 - 1047*b/5 + 918/5 = 0.
1, 9, 34
Factor -3*v**2 - 324*v - 8748.
-3*(v + 54)**2
Factor y**2/4 + 133*y/4.
y*(y + 133)/4
Factor 2*a**3 + 431*a**2 - 1088*a + 436.
(a - 2)*(a + 218)*(2*a - 1)
Suppose s**4 - 17*s**3 + 84*s**2 - 148*s + 80 = 0. Calculate s.
1, 2, 4, 10
Factor -5*r**5 + 30*r**4 - 160*r**2.
-5*r**2*(r - 4)**2*(r + 2)
Find v such that 2*v**2/21 + 82*v/7 - 248/21 = 0.
-124, 1
What is h in -6*h**2 + 2*h + 8 = 0?
-1, 4/3
What is i in i**4/5 + i**3 - 32*i**2/5 + 36*i/5 = 0?
-9, 0, 2
Find a such that -288*a**2 + 66*a + 10 = 0.
-5/48, 1/3
Suppose -2*t**2/7 - 396*t/7 + 800/7 = 0. What is t?
-200, 2
Let -5*d**5/2 + 81*d**4/2 - 331*d**3/2 + 523*d**2/2 - 156*d + 22 = 0. Calculate d.
1/5, 1, 2, 11
Determine j so that 80*j**5 - 760*j**4 + 285*j**3 + 715*j**2 - 365*j + 45 = 0.
-1, 1/4, 1, 9
Suppose -6*f**4 - 4*f**3 + 8*f**2 + 4*f - 2 = 0. What is f?
-1, 1/3, 1
Determine b so that -3*b**2/7 + 15*b - 288/7 = 0.
3, 32
Factor -s**4/7 - 4*s**3/7 + 11*s**2/7 - 6*s/7.
-s*(s - 1)**2*(s + 6)/7
Factor -4*l**4/7 + 24*l**2/7 + 32*l/7 + 12/7.
-4*(l - 3)*(l + 1)**3/7
Factor 2*j**4/9 + 4*j**3/3 - 10*j**2/3 + 16*j/9.
2*j*(j - 1)**2*(j + 8)/9
Find z, given that z**5/3 + 7*z**4/3 + z**3 - 23*z**2/3 - 32*z/3 - 4 = 0.
-6, -1, 2
Solve -2*x**4/11 + 8*x**3/11 + 6*x**2/11 - 36*x/11 = 0.
-2, 0, 3
Let 4*s**2 - 460*s - 936 = 0. What is s?
-2, 117
Find m, given that 2*m**2/5 - 174*m/5 = 0.
0, 87
Suppose -2*g**3 - 326*g**2 + 660*g = 0. Calculate g.
-165, 0, 2
Find u, given that 5*u**5 + 15*u**4 - 20*u**3 - 60*u**2 = 0.
-3, -2, 0, 2
Suppose -3*j**4/8 + 9*j**2 + 24*j + 18 = 0. What is j?
-2, 6
Let -9*f**3/2 - 186*f**2 - 3525*f/2 - 567 = 0. Calculate f.
-27, -14, -1/3
Let -4*v**2 - 1168*v - 85264 = 0. What is v?
-146
Factor -q**2 - 273*q + 274.
-(q - 1)*(q + 274)
Determine f, given that 5*f**3 - 180*f = 0.
-6, 0, 6
Solve -i**3/3 + 56*i**2/3 - 211*i/3 + 52 = 0.
1, 3, 52
Determine g so that 6*g**2/11 + 54*g/11 + 48/11 = 0.
-8, -1
Solve 2*t**5/9 - 92*t**4/9 + 1112*t**3/9 + 240*t**2 - 6912*t - 20736 = 0 for t.
-4, 18
Factor -3*j**5 + 102*j**4 - 960*j**3 + 1536*j**2.
-3