ppose 4*r**4 + 184*r**3 + 176*r**2 - 184*r - 180 = 0. What is r?
-45, -1, 1
Suppose -3*d**4 + 243*d**3 - 240*d**2 = 0. Calculate d.
0, 1, 80
Suppose -14*a**5 + 74*a**4 - 118*a**3 + 70*a**2 - 12*a = 0. What is a?
0, 2/7, 1, 3
Factor 2*x**4/9 + 16*x**3/3.
2*x**3*(x + 24)/9
Factor 5*a**5 - 30*a**4 - 5*a**3 + 30*a**2.
5*a**2*(a - 6)*(a - 1)*(a + 1)
Factor -i**5/2 - 4*i**4 - 8*i**3 + 8*i**2 + 40*i + 32.
-(i - 2)*(i + 2)**3*(i + 4)/2
Let -v**2 + 1137*v = 0. Calculate v.
0, 1137
Determine i, given that 3*i**2 + 156*i - 3015 = 0.
-67, 15
What is u in 3*u**4 - 39*u**3 + 141*u**2 - 177*u + 72 = 0?
1, 3, 8
What is t in -5*t**5 - 150*t**4 - 585*t**3 + 8120*t**2 - 13860*t + 6480 = 0?
-18, 1, 4
Factor -8*u**3/3 - 2*u**2 + 24*u + 18.
-2*(u - 3)*(u + 3)*(4*u + 3)/3
Suppose 4*k**3/5 + 232*k**2/5 + 452*k/5 + 224/5 = 0. What is k?
-56, -1
Factor -9*z**3/2 + 3*z**2/4 + 9*z/2 - 3/4.
-3*(z - 1)*(z + 1)*(6*z - 1)/4
Suppose -5*q**2 - 60*q - 135 = 0. What is q?
-9, -3
Factor -2*j**2/15 - 6*j + 96/5.
-2*(j - 3)*(j + 48)/15
What is p in -4*p**2 + 2552*p - 407044 = 0?
319
Let -5*i**5/6 + 10*i**4 + 5*i**3/3 - 20*i**2 - 5*i/6 + 10 = 0. What is i?
-1, 1, 12
Solve -2*f**3/23 - 42*f**2/23 - 232*f/23 - 312/23 = 0 for f.
-13, -6, -2
Factor 2*y**4 - 16*y**3 + 36*y**2 - 32*y + 10.
2*(y - 5)*(y - 1)**3
Factor -4*q**3 - 796*q**2 - 39996*q - 39204.
-4*(q + 1)*(q + 99)**2
Find p such that 3*p**2 - 54264*p + 245381808 = 0.
9044
Factor 2*d**2/9 - 100*d/3 - 1232/9.
2*(d - 154)*(d + 4)/9
Solve 2*x**3/7 + 12*x**2/7 - 1850*x/7 + 1836/7 = 0 for x.
-34, 1, 27
Factor -3*p**3/5 - 132*p**2/5 - 1647*p/5 - 6318/5.
-3*(p + 9)**2*(p + 26)/5
Suppose h**4 + 6*h**3 + 5*h**2 - 12*h = 0. What is h?
-4, -3, 0, 1
Factor f**2/2 + 3*f/2.
f*(f + 3)/2
Solve -4*d**3 + 24*d**2 - 20*d = 0.
0, 1, 5
Factor b**2/8 + 49*b/8 + 297/4.
(b + 22)*(b + 27)/8
Let -8*j**5/5 - 49*j**4/5 + 1202*j**3/5 - 1001*j**2/5 - 144*j/5 = 0. What is j?
-16, -1/8, 0, 1, 9
Factor -2*m**2/9 - 8*m/9 + 10/9.
-2*(m - 1)*(m + 5)/9
Find f such that 4*f**3 - 116*f**2 + 700*f - 588 = 0.
1, 7, 21
Find d such that 7*d**2/5 - 9*d/5 + 2/5 = 0.
2/7, 1
Suppose 3*g**2 + 183*g - 576 = 0. Calculate g.
-64, 3
Find u such that 9*u**4 - 112*u**3 + 453*u**2 - 666*u + 216 = 0.
4/9, 3, 6
Factor -5*k**2 + 1610*k - 129605.
-5*(k - 161)**2
Factor -a**3/3 + 7*a**2 - 18*a.
-a*(a - 18)*(a - 3)/3
Solve 4*j**4 + 64*j**3 + 360*j**2 + 800*j + 500 = 0 for j.
-5, -1
Determine c so that c**3/4 + 585*c**2 + 456300*c + 118638000 = 0.
-780
Factor -7*k**2/10 - 243*k/10 + 7.
-(k + 35)*(7*k - 2)/10
Factor 2*l**3/7 - 120*l**2/7 - 246*l/7 - 124/7.
2*(l - 62)*(l + 1)**2/7
Determine i, given that 3*i**4 + 15*i**3 - 156*i**2 + 12*i + 720 = 0.
-10, -2, 3, 4
Factor 3*u**3/5 - 393*u**2/5 + 1536*u/5 - 1524/5.
3*(u - 127)*(u - 2)**2/5
Factor -o**2 - 292*o/3 + 196/3.
-(o + 98)*(3*o - 2)/3
Find a such that 5*a**4/4 + 35*a**3/4 - 50*a**2 + 55*a = 0.
-11, 0, 2
Solve 21*u**5/5 - 18*u**4 - 291*u**3/5 + 468*u**2/5 - 108*u/5 = 0 for u.
-3, 0, 2/7, 1, 6
Suppose -2*b**3/3 + 52*b**2 + 158*b/3 = 0. What is b?
-1, 0, 79
Factor 5*i**4 + 200*i**3 + 750*i**2 - 25000*i + 78125.
5*(i - 5)**2*(i + 25)**2
Find l such that -68*l**4 - 188*l**3 + 48*l**2 + 272*l - 64 = 0.
-2, 4/17, 1
Solve -p**4/5 + 269*p**3/5 - 18222*p**2/5 + 3484*p + 35912/5 = 0 for p.
-1, 2, 134
Factor 4*b**3/3 - 56*b**2/3 - 16*b/3 + 224/3.
4*(b - 14)*(b - 2)*(b + 2)/3
Let 3*n**2 - 1806*n - 10944 = 0. Calculate n.
-6, 608
Determine j, given that 2*j**2 + 10*j - 408 = 0.
-17, 12
Factor 2*c**2/5 - 8*c + 38/5.
2*(c - 19)*(c - 1)/5
Let -f**3 + 16*f**2 - 63*f = 0. Calculate f.
0, 7, 9
Factor 3*r**2/7 - 498*r/7.
3*r*(r - 166)/7
Factor 13*r**4/4 + 272*r**3 + 5649*r**2 - 1764*r.
r*(r + 42)**2*(13*r - 4)/4
Solve -2*v**2/7 - 24*v/7 + 90/7 = 0 for v.
-15, 3
Determine i, given that 3*i**4/2 - 507*i**3 + 6003*i**2/2 - 4488*i + 1992 = 0.
1, 4, 332
Let 2*a**5/3 - 20*a**4/9 - 22*a**3/9 + 20*a**2/9 + 16*a/9 = 0. What is a?
-1, -2/3, 0, 1, 4
Factor -n**4/2 + n**3/2 + 204*n**2 - 1656*n.
-n*(n - 12)**2*(n + 23)/2
Let 2*a**2/13 - 2348*a/13 + 689138/13 = 0. What is a?
587
What is w in 2*w**5 + 244*w**4 - 494*w**3 + 248*w**2 = 0?
-124, 0, 1
Factor -4*g**5 + 76*g**4 - 504*g**3 + 1296*g**2 - 864*g.
-4*g*(g - 6)**3*(g - 1)
Determine m so that -50*m**2/7 - 40*m/7 - 8/7 = 0.
-2/5
Factor -a**3 - 131*a**2 + a + 131.
-(a - 1)*(a + 1)*(a + 131)
Factor t**2 + 1924*t + 925444.
(t + 962)**2
Factor 4*a**3 + 1156*a**2 - 4672*a + 4688.
4*(a - 2)**2*(a + 293)
Let -d**3 + 6*d**2 + 13*d - 42 = 0. Calculate d.
-3, 2, 7
Factor -2*w**2 - 242*w + 244.
-2*(w - 1)*(w + 122)
Solve 4*b**5 - 24*b**4 - 48*b**3 + 152*b**2 - 84*b = 0.
-3, 0, 1, 7
Suppose -2*a**4/7 - 10*a**3/7 - 18*a**2/7 - 2*a - 4/7 = 0. Calculate a.
-2, -1
Factor l**5 - 5*l**4 - 13*l**3 - 7*l**2.
l**2*(l - 7)*(l + 1)**2
Factor -i**3/4 + i**2 + 5*i/4.
-i*(i - 5)*(i + 1)/4
Factor -2*z**2 + 244*z - 1392.
-2*(z - 116)*(z - 6)
Factor -n**2/5 - 7*n/5.
-n*(n + 7)/5
Suppose 10*b**5/9 - 34*b**4/9 - 98*b**3/9 + 74*b**2/9 + 88*b/9 - 40/9 = 0. What is b?
-2, -1, 2/5, 1, 5
Find k, given that 3*k**4/7 - 6*k**3/7 = 0.
0, 2
Factor -w**3/8 - 25*w**2/8 - 23*w/4.
-w*(w + 2)*(w + 23)/8
Factor p**3/3 - 46*p**2/3 + 224*p - 1056.
(p - 22)*(p - 12)**2/3
Determine z so that z**2/2 + 126*z - 253/2 = 0.
-253, 1
Factor b**5/6 + 4*b**4/3 + 5*b**3/6 - 25*b**2/3.
b**2*(b - 2)*(b + 5)**2/6
Factor 2*u**2/13 - 372*u/13 + 736/13.
2*(u - 184)*(u - 2)/13
Find m such that -3*m**4/2 + 27*m**3/2 - 81*m**2/2 + 93*m/2 - 18 = 0.
1, 3, 4
Factor 4*a**3 + 36*a**2 + 72*a.
4*a*(a + 3)*(a + 6)
Factor -5*n**3 + 350*n**2 - 6460*n + 11560.
-5*(n - 34)**2*(n - 2)
Factor 3*q**2 - 9681*q.
3*q*(q - 3227)
Determine t, given that 33*t**2/2 + 303*t/2 + 27 = 0.
-9, -2/11
Let 35*g**3 - 200*g**2 - 1220*g - 1360 = 0. What is g?
-2, 68/7
Factor -2*p**4/17 + 72*p**3/17 - 70*p**2/17.
-2*p**2*(p - 35)*(p - 1)/17
Let 5*b**2/2 - 1355*b/2 + 1345 = 0. What is b?
2, 269
Factor -2*m**3/3 + 10*m**2/3 - 2*m - 6.
-2*(m - 3)**2*(m + 1)/3
Factor 2*c**3 + 142*c**2 + 276*c.
2*c*(c + 2)*(c + 69)
Factor -r**3/3 + 15*r**2 - 176*r + 484/3.
-(r - 22)**2*(r - 1)/3
Factor -141*d**2 - 417*d + 18.
-3*(d + 3)*(47*d - 2)
What is c in 2*c**2 + 26*c + 72 = 0?
-9, -4
Determine u, given that -72*u**5 + 3798*u**4/5 + 404*u**3 - 2586*u**2/5 - 72*u + 88/5 = 0.
-1, -1/4, 2/15, 2/3, 11
Factor 2*n**3/5 + 524*n**2/5 + 522*n/5.
2*n*(n + 1)*(n + 261)/5
Factor 3*d**3 + 141*d**2 + 402*d + 264.
3*(d + 1)*(d + 2)*(d + 44)
Find r such that -3*r**3/5 + 196*r**2/5 - 627*r - 2178/5 = 0.
-2/3, 33
Factor -122*a**2/15 - 4*a/15.
-2*a*(61*a + 2)/15
What is n in -4*n**4 + 32*n**3 - 28*n**2 = 0?
0, 1, 7
Find n, given that 4*n**2/3 + 16*n/3 - 16 = 0.
-6, 2
Factor 3*y**2 + 846*y + 1680.
3*(y + 2)*(y + 280)
Factor -2*j**4/5 - 22*j**3/5 - 4*j**2.
-2*j**2*(j + 1)*(j + 10)/5
Suppose k**4/11 - k**3/11 - 16*k**2/11 + 16*k/11 = 0. What is k?
-4, 0, 1, 4
What is z in -z**3/3 - 62*z**2/3 - 61*z/3 = 0?
-61, -1, 0
Find s, given that -s**2/2 + 21*s - 180 = 0.
12, 30
What is w in -2*w**5/3 + 80*w**4 - 6956*w**3/3 - 4880*w**2 - 7442*w/3 = 0?
-1, 0, 61
Factor 5*h**2 - 15*h.
5*h*(h - 3)
Determine o so that o**2/6 + 10*o + 153/2 = 0.
-51, -9
Find l, given that -45*l**5 + 100*l**4 + 115*l**3 - 390*l**2 + 260*l - 40 = 0.
-2, 2/9, 1, 2
Suppose 2*c**3/13 - 214*c**2/13 + 830*c/13 - 618/13 = 0. Calculate c.
1, 3, 103
Factor 4*m**2 + 23424*m + 34292736.
4*(m + 2928)**2
Factor 4*m**3 + 4*m**2 - 36*m - 36.
4*(m - 3)*(m + 1)*(m + 3)
What is h in 3*h**4/4 - 129*h**3/4 + 333*h**2/4 + 1065*h/4 + 150 = 0?
-1, 5, 40
Factor 722*y**4/9 - 836*y**3/9 - 122*y**2/3 + 352*y/9 + 128/9.
2*(y - 1)**2*(19*y + 8)**2/9
Factor -p**5/6 + p**4/3 - p**3/6.
-p**3*(p - 1)**2/6
Let 10*x**5/3 + 8*x**4 + 8*x**3/3 - 20*x**2/3 - 6*x - 4/3 = 0. Calculate x.
-1, -2/5, 1
Factor 722*g**5/21 + 2014*g**4/21 + 1718*g**3/21 + 290*g**2/21 - 128*g/21 + 8/21.
2*(g + 1)**3*(19*g - 2)**2/21
Determine h so that 15*h**5 - 50*h**4 - 430*h**3 + 640*h**2 + 3975*h + 2250 = 0.
-3, -2/3, 5
Suppose -14*n**3/5 - 158*n**2/5 - 436*n/5 - 112/5 = 0. Calculate n.
-7, -4, -2/7
Factor -o**2 - 28*o + 60.
-(o - 2)*(o + 30)
Factor 2*g**4 + 26*g**3 + 22*g**2 - 26*g - 24.
2*(g - 1)*(g + 1)**2*(g + 12)
Solve 3*f**3/7 + 5*f**2/7 + f/7 - 1/7 = 0.
-1, 1/3
Factor -f**4/3 - 8*f**3/3 - 13*f**2/3 - 2*f.
-f*(f + 1)**2*(f + 6)/3
Factor 2*m*