.
-8, 0, 1
Find l such that -l**2/5 - 421*l/5 - 84 = 0.
-420, -1
Suppose -j**4/4 + 5*j**3/4 - 5*j**2/4 - 5*j/4 + 3/2 = 0. Calculate j.
-1, 1, 2, 3
Find l, given that -2*l**3/5 - 2*l**2/5 + 34*l/5 - 6 = 0.
-5, 1, 3
Find r, given that r**3/2 - 4*r**2 = 0.
0, 8
Let -d**3/3 - 4*d**2 - 29*d/3 - 6 = 0. What is d?
-9, -2, -1
Let -3*h**5 - 51*h**4 - 126*h**3 + 780*h**2 - 600*h = 0. Calculate h.
-10, 0, 1, 2
Factor -4*g**2 - 400*g + 1664.
-4*(g - 4)*(g + 104)
Factor -3*h**2/7 - 15*h + 222/7.
-3*(h - 2)*(h + 37)/7
Factor 2*w**5 + 4*w**4 - 6*w**3 - 8*w**2 + 8*w.
2*w*(w - 1)**2*(w + 2)**2
Suppose r**2/2 - 1991*r + 3964081/2 = 0. What is r?
1991
What is g in 5*g**3 + 65*g**2 - 240*g = 0?
-16, 0, 3
Suppose -3*s**2/4 - 999*s/2 + 6021/4 = 0. Calculate s.
-669, 3
Factor k**5 + 4*k**4 + 4*k**3 - 2*k**2 - 5*k - 2.
(k - 1)*(k + 1)**3*(k + 2)
Let 4*p**3 + 1808*p**2 + 202484*p - 412232 = 0. Calculate p.
-227, 2
Solve 5*p**5 + 200*p**4 - 5*p**3 - 200*p**2 = 0 for p.
-40, -1, 0, 1
Suppose -15*o**4 - 100*o**3 + 455*o**2 - 440*o + 100 = 0. Calculate o.
-10, 1/3, 1, 2
Factor -2*x**3/5 + 12*x**2/5.
-2*x**2*(x - 6)/5
Determine w so that -w**4/3 + 169*w**3/6 + 43*w**2 + w/6 - 43/3 = 0.
-1, 1/2, 86
Find t, given that -17*t**2/5 + 159*t/5 - 54/5 = 0.
6/17, 9
Let -90*k**5 - 231*k**4/2 - 105*k**3/4 - 3*k**2/4 = 0. What is k?
-1, -1/4, -1/30, 0
Factor -o**4/3 - 17*o**3/3 - 26*o**2/3 + 68*o/3 + 40.
-(o - 2)*(o + 2)**2*(o + 15)/3
Suppose -n**3 - 6*n**2 = 0. What is n?
-6, 0
Factor 3*k**3/4 + 399*k**2/4 + 750*k.
3*k*(k + 8)*(k + 125)/4
Factor 166375*o**4/2 - 1155550*o**3 - 126720*o**2 - 4616*o - 56.
(o - 14)*(55*o + 2)**3/2
What is y in -5*y**4 - 50*y**3 + 5*y**2 + 50*y = 0?
-10, -1, 0, 1
Factor 4*z**4 + 32*z**3 + 24*z**2 - 32*z - 28.
4*(z - 1)*(z + 1)**2*(z + 7)
Factor -3*n**3/5 + 30*n**2 + 153*n/5.
-3*n*(n - 51)*(n + 1)/5
Solve 3*c**2 - 153*c - 660 = 0.
-4, 55
Let 2*q**3 - 56*q**2/5 + 26*q/5 + 4 = 0. Calculate q.
-2/5, 1, 5
Solve 256*i**2/3 - 3424*i + 34347 = 0.
321/16
What is h in -2*h**3 - 6954*h**2 - 8059686*h - 3113725358 = 0?
-1159
Let c**2/8 + 5*c/8 + 3/4 = 0. What is c?
-3, -2
Let 2*g**2 - 24*g + 22 = 0. What is g?
1, 11
Find w, given that -5*w**3/8 - 717*w**2/8 + 1157*w/8 - 435/8 = 0.
-145, 3/5, 1
Factor -j**3/2 - 27*j**2/2 - 25*j.
-j*(j + 2)*(j + 25)/2
Factor -5*c**4 - 75*c**3 - 395*c**2 - 825*c - 500.
-5*(c + 1)*(c + 4)*(c + 5)**2
Find l such that l**4 - 18*l**3 - 39*l**2 - 20*l = 0.
-1, 0, 20
Let 16*o**2 + 1612*o - 404 = 0. Calculate o.
-101, 1/4
Factor -d**2 + 1145*d/2 + 573/2.
-(d - 573)*(2*d + 1)/2
Find r such that -2*r**2/9 + 32*r/3 + 98/9 = 0.
-1, 49
Suppose -3*x**2 + 6*x + 45 = 0. Calculate x.
-3, 5
Solve 3*r**3 - 126*r**2 = 0 for r.
0, 42
Let h**2/4 + 49*h/2 + 2401/4 = 0. Calculate h.
-49
Factor 5*d**3 + 65*d**2 + 250*d + 280.
5*(d + 2)*(d + 4)*(d + 7)
Let b**2 + 72*b - 729 = 0. What is b?
-81, 9
Solve -4*q**2/3 + 31688*q/3 - 62758084/3 = 0 for q.
3961
Factor 225*g**3/2 - 3405*g**2 + 902*g - 60.
(g - 30)*(15*g - 2)**2/2
Solve -k**4/4 + 81*k**3/2 = 0.
0, 162
Factor 4*f**4/5 + 8*f**3/5 - 48*f**2/5 + 56*f/5 - 4.
4*(f - 1)**3*(f + 5)/5
Factor 27*l**4 - 102*l**3 - 321*l**2 - 228*l - 36.
3*(l - 6)*(l + 1)**2*(9*l + 2)
Factor -4*c**3/7 + 10*c**2/7 + 6*c/7.
-2*c*(c - 3)*(2*c + 1)/7
Factor -3*z**3/2 - 9*z**2/2 + 3*z/2 + 9/2.
-3*(z - 1)*(z + 1)*(z + 3)/2
Determine l so that -2*l**4/5 + 198*l**3/5 + 40*l**2 = 0.
-1, 0, 100
Find o such that -5*o**2/4 + 35*o/4 - 15/2 = 0.
1, 6
Find d, given that 3*d**3/2 - 3*d**2 - 54*d + 108 = 0.
-6, 2, 6
Factor 5*w**5 + 5*w**4 - 30*w**3 - 20*w**2 + 40*w.
5*w*(w - 2)*(w - 1)*(w + 2)**2
Solve 2*p**5 + 310*p**4 + 12464*p**3 + 34648*p**2 - 1216*p - 46208 = 0 for p.
-76, -2, 1
Suppose v**2/10 - 7*v/5 + 49/10 = 0. What is v?
7
Factor 32*x**3/5 - 144*x**2 - 366*x/5 - 46/5.
2*(x - 23)*(4*x + 1)**2/5
Determine i so that 3*i**4 - 6*i**3 - 84*i**2 - 138*i - 63 = 0.
-3, -1, 7
Factor -5*n**2 + 840*n - 35280.
-5*(n - 84)**2
Determine w so that 4*w**3/9 + 296*w**2/9 - 7120*w/9 + 37600/9 = 0.
-94, 10
Factor -i**2/2 + 3*i/8 + 7/8.
-(i + 1)*(4*i - 7)/8
Suppose 5*o**5 - 50*o**4 + 145*o**3 - 40*o**2 - 240*o = 0. What is o?
-1, 0, 3, 4
Factor -4*i**2 + 132*i - 248.
-4*(i - 31)*(i - 2)
Factor -82*c**2 - 1234*c - 60.
-2*(c + 15)*(41*c + 2)
Find x, given that -9*x**4/4 - 303*x**3/2 + 2319*x**2/4 - 429*x - 213 = 0.
-71, -1/3, 2
Solve -3*w**5/2 + 27*w**4 - 81*w**3/2 - 129*w**2 + 144*w = 0 for w.
-2, 0, 1, 3, 16
Suppose v**4/2 + 9*v**3/2 - v**2 - 36*v + 32 = 0. What is v?
-8, -4, 1, 2
Factor 4*w**4 + 88*w**3 + 480*w**2 - 88*w - 484.
4*(w - 1)*(w + 1)*(w + 11)**2
Factor g**4 + 11*g**3 + 36*g**2 + 16*g - 64.
(g - 1)*(g + 4)**3
Solve -2*l**4 + 8*l**3 - 6*l**2 = 0 for l.
0, 1, 3
Factor -5*h**3 - 125*h**2 - 230*h.
-5*h*(h + 2)*(h + 23)
Factor -10*i**2/9 - 1466*i/9 + 196/3.
-2*(i + 147)*(5*i - 2)/9
Find n, given that -n**3 - 12816*n**2 - 54749952*n - 77963931648 = 0.
-4272
Factor -3*v**4/5 + 14*v**3/5 - 8*v**2/5.
-v**2*(v - 4)*(3*v - 2)/5
Factor -3*q**5/7 - 9*q**4/7 + 18*q**3/7 + 12*q**2 + 72*q/7.
-3*q*(q - 3)*(q + 2)**3/7
Factor 44*t**2 + 400*t + 624.
4*(t + 2)*(11*t + 78)
Factor 5*p**4 - 7*p**3 - 38*p**2 + 76*p - 24.
(p - 2)**2*(p + 3)*(5*p - 2)
Factor d**3/5 - 9*d**2/5 - 21*d/5 - 11/5.
(d - 11)*(d + 1)**2/5
What is a in 2*a**3 - 21*a**2 - 278*a + 144 = 0?
-8, 1/2, 18
Solve j**5/7 - 3*j**4 - 22*j**3/7 + 486*j**2/7 - 459*j/7 - 135 = 0.
-5, -1, 3, 21
Determine z, given that 2*z**2/3 + 17408*z/3 + 37879808/3 = 0.
-4352
Suppose -21*n**5 + 27*n**4 + 267*n**3 - 99*n**2 - 246*n + 72 = 0. Calculate n.
-3, -1, 2/7, 1, 4
Factor -3*b**3/2 + 228*b**2 - 1752*b + 3456.
-3*(b - 144)*(b - 4)**2/2
Suppose -16*z**4/5 + 56*z**3/5 - 57*z**2/5 + 19*z/5 - 2/5 = 0. Calculate z.
1/4, 1, 2
Factor p**3/4 + 22*p**2 - 179*p/4 + 45/2.
(p - 1)**2*(p + 90)/4
Determine v, given that 2*v**3/7 + 34*v**2/7 + 160*v/7 + 128/7 = 0.
-8, -1
Let 2*w**3/3 + 70*w**2/3 + 548*w/3 + 160 = 0. Calculate w.
-24, -10, -1
Factor 34*j**3/5 + 4040*j**2 + 3001482*j/5 + 352836/5.
2*(j + 297)**2*(17*j + 2)/5
Suppose -5*l**5 - 25*l**4 - 10*l**3 + 40*l**2 = 0. Calculate l.
-4, -2, 0, 1
Factor -4*t**4 - 1220*t**3 - 3636*t**2 - 3628*t - 1208.
-4*(t + 1)**3*(t + 302)
Factor 5*z**3 - 1110*z**2 + 61605*z.
5*z*(z - 111)**2
Factor -o**2/12 + 69*o - 14283.
-(o - 414)**2/12
Factor -2*t**2/7 + 92*t/7 - 1058/7.
-2*(t - 23)**2/7
Determine q so that -2*q**2/9 - 28*q/9 + 352/9 = 0.
-22, 8
Find g, given that 2*g**5 - 820*g**4 + 84866*g**3 - 167280*g**2 + 83232*g = 0.
0, 1, 204
Factor -6*o**5/5 - 266*o**4/5 - 774*o**3 - 3510*o**2 + 2700*o.
-2*o*(o + 15)**3*(3*o - 2)/5
Factor 2*o**2/7 + 166*o/7 + 164/7.
2*(o + 1)*(o + 82)/7
Factor -2*i**2 - 18*i + 20.
-2*(i - 1)*(i + 10)
Solve -j**3/4 - 181*j**2/4 - 359*j/4 - 179/4 = 0.
-179, -1
Factor -r**3 - 23*r**2 + r + 23.
-(r - 1)*(r + 1)*(r + 23)
Factor -4*n**2 + 276*n + 568.
-4*(n - 71)*(n + 2)
Solve -3*h**2 - 1914*h - 5715 = 0 for h.
-635, -3
Solve -5*p**4 - 35*p**3 + 5*p**2 + 35*p = 0.
-7, -1, 0, 1
Solve 3*q**5/5 + 26*q**4/5 + 39*q**3/5 - 124*q**2/5 - 204*q/5 + 16 = 0.
-5, -4, -2, 1/3, 2
Factor -2*g**3/9 + 22*g**2/9 - 4*g.
-2*g*(g - 9)*(g - 2)/9
Determine w so that w**5/7 + w**4/7 - 29*w**3/7 - 81*w**2/7 + 108/7 = 0.
-3, -2, 1, 6
What is w in 7*w**4/5 + 173*w**3/5 - 834*w**2/5 + 1036*w/5 - 232/5 = 0?
-29, 2/7, 2
Factor -p**2/2 + 41*p - 1681/2.
-(p - 41)**2/2
What is w in 2*w**4/9 + 12*w**3 + 104*w**2/3 + 308*w/9 + 34/3 = 0?
-51, -1
Factor 2*o**2/7 - 748*o/7.
2*o*(o - 374)/7
Let -i**2/2 - 441*i/2 + 443 = 0. What is i?
-443, 2
Solve 3*y**2/5 + 1368*y/5 - 1371/5 = 0 for y.
-457, 1
Factor -j**4/5 - 6*j**3/5 + 27*j**2/5 - 4*j/5 - 36/5.
-(j - 2)**2*(j + 1)*(j + 9)/5
Let 2*k**3/7 + 48*k**2 - 146*k + 684/7 = 0. What is k?
-171, 1, 2
Factor l**3/6 + 176*l**2/3 + 5278*l + 20184.
(l + 4)*(l + 174)**2/6
Factor 4*x**3/5 + 1032*x**2/5 - 4192*x/5.
4*x*(x - 4)*(x + 262)/5
Suppose 33*p**2/7 + 134*p/7 + 8/7 = 0. Calculate p.
-4, -2/33
Find v, given that 44*v**4 + 12*v**3 - 300*v**2 + 388*v - 144 = 0.
-36/11, 1
Factor 4*k**4 - 776*k**3 + 37636*k**2.
4*k**2*(k - 97)**2
Factor f**2/5 + 16*f/5 - 36/5.
(f - 2)*(f + 18)/5
What is o in o**3/6 + 27*o**2/2 - 104*o - 352/3 = 0?
-88, -1, 8
Factor 9*y**3/7 + 345*y**2/7 - 234*y/7.
3*y*(y + 39)*(3*y - 2)/7
Let f**2/4 + 9*f = 0. Calculate f.
-36, 0
Factor -5*w**4 + 35*w**3 + 9