hat is m?
0, 6
Factor d**2/10 - 36*d/5 + 71/10.
(d - 71)*(d - 1)/10
Suppose 4*m**2 - 212*m + 208 = 0. What is m?
1, 52
Suppose 5*r**5 + 135*r**4 + 565*r**3 + 285*r**2 - 990*r = 0. Calculate r.
-22, -3, 0, 1
Factor 6*t**5/5 + 6*t**4/5 - 6*t**3/5 - 6*t**2/5.
6*t**2*(t - 1)*(t + 1)**2/5
Factor 2*t**3 + 34*t**2/5 + 32*t/5 + 8/5.
2*(t + 1)*(t + 2)*(5*t + 2)/5
Factor -2*m**2/9 + 652*m/9 - 650/9.
-2*(m - 325)*(m - 1)/9
Factor 86*v**3/7 - 2*v**2/7.
2*v**2*(43*v - 1)/7
Solve 3*m**5 - 304*m**4/3 - 5279*m**3/3 + 43882*m**2 + 1724716*m/3 + 376712/3 = 0.
-14, -2/9, 31
Suppose t**3/9 + 41*t**2/9 - 554*t/9 + 104 = 0. What is t?
-52, 2, 9
Let 4*k**2 - 2624*k = 0. Calculate k.
0, 656
Factor 548*w**2 - 536*w - 12.
4*(w - 1)*(137*w + 3)
Suppose z**4/3 - 2*z**3/3 - z**2/3 + 2*z/3 = 0. Calculate z.
-1, 0, 1, 2
Let -5*x**4 + 2355*x**3 - 4695*x**2 + 2345*x = 0. What is x?
0, 1, 469
Find n such that -48*n**4 + 9336*n**3 - 456291*n**2 + 226398*n - 28227 = 0.
1/4, 97
What is q in -2*q**5/11 - 2*q**4/11 + 28*q**3/11 + 12*q**2/11 - 90*q/11 + 54/11 = 0?
-3, 1, 3
Suppose -2*i**3 - 298*i**2 - 296*i = 0. What is i?
-148, -1, 0
Find q such that -51483*q**2/4 + 5109*q/2 - 507/4 = 0.
13/131
Suppose 4*c**4/19 - 10*c**3/19 - 6*c**2/19 = 0. Calculate c.
-1/2, 0, 3
Factor 5*o**2/2 - 565*o/2 - 285.
5*(o - 114)*(o + 1)/2
Factor -3*u**5/5 + 3*u**4 - 18*u**3/5 - 12*u**2/5 + 24*u/5.
-3*u*(u - 2)**3*(u + 1)/5
Factor -5*d**2 - 125*d - 500.
-5*(d + 5)*(d + 20)
Determine f, given that -2*f**5/11 - 32*f**4/11 - 14*f**3/11 + 1712*f**2/11 + 5504*f/11 - 7168/11 = 0.
-8, 1, 7
Let 2*s**3 + 4*s**2 + 2*s = 0. Calculate s.
-1, 0
Factor 5*b**4 - 60*b**3 + 145*b**2 - 90*b.
5*b*(b - 9)*(b - 2)*(b - 1)
Factor -7*c**2/4 + 12069*c/2 - 1724.
-(c - 3448)*(7*c - 2)/4
Find c such that 13*c**4/6 - 14*c**3/3 - 35*c**2/6 + c = 0.
-1, 0, 2/13, 3
Determine y, given that 2*y**5 + 64*y**4 = 0.
-32, 0
Factor -4*p**2 - 988*p + 992.
-4*(p - 1)*(p + 248)
Determine n so that -100*n**5 - 340*n**4 - 169*n**3 + 204*n**2 - 36*n = 0.
-2, 0, 3/10
Let -4*m**3 + 104*m**2 - 100*m = 0. Calculate m.
0, 1, 25
Factor c**2 - 1005*c - 1006.
(c - 1006)*(c + 1)
Suppose -2*p**4/19 + 12*p**3/19 - 14*p**2/19 - 12*p/19 + 16/19 = 0. Calculate p.
-1, 1, 2, 4
Factor -4*q**2 - 12728*q - 10125124.
-4*(q + 1591)**2
Solve -2*p**5/11 + 14*p**4/11 - 26*p**3/11 + 2*p**2/11 + 28*p/11 - 16/11 = 0 for p.
-1, 1, 2, 4
Suppose 2*v**3 - 20*v**2 - 954*v + 972 = 0. What is v?
-18, 1, 27
Factor -4*v**2/3 + 4*v + 24.
-4*(v - 6)*(v + 3)/3
Let -2*s**2/7 - 424*s/7 - 22472/7 = 0. Calculate s.
-106
Solve -2*y**2/7 + 8*y - 150/7 = 0 for y.
3, 25
Determine k, given that k**5/2 + 9*k**4/2 - k**3/2 - 9*k**2/2 = 0.
-9, -1, 0, 1
Factor 5*d**3/2 + 6*d**2 + 2*d.
d*(d + 2)*(5*d + 2)/2
Factor -3*s**3 - 21*s**2 + 3*s + 21.
-3*(s - 1)*(s + 1)*(s + 7)
Factor 2*n**4 + 17*n**3 - 51*n**2 + 43*n - 11.
(n - 1)**2*(n + 11)*(2*n - 1)
Factor -s**4 + s**3 + 9*s**2 + 11*s + 4.
-(s - 4)*(s + 1)**3
Let x**4/4 + 13*x**3/4 + 31*x**2/2 + 32*x + 24 = 0. What is x?
-4, -3, -2
Factor z**3/3 - 125*z**2/3 + 3712*z/3 + 4096.
(z - 64)**2*(z + 3)/3
Find u such that -2*u**2/13 + 2564*u/13 - 821762/13 = 0.
641
Factor -297*x**4 + 450*x**3 - 204*x**2 + 24*x.
-3*x*(3*x - 2)**2*(11*x - 2)
Factor -u**2/3 - 260*u/3 - 259/3.
-(u + 1)*(u + 259)/3
Factor 3*k**3/2 + 12*k**2 + 39*k/2 + 9.
3*(k + 1)**2*(k + 6)/2
Determine r so that -4*r**3 + 80*r**2 - 76*r = 0.
0, 1, 19
Solve p**3 - 22*p**2/7 + 3*p/7 = 0.
0, 1/7, 3
Factor 4*x**3 + 220*x**2.
4*x**2*(x + 55)
Solve -4*z**2 + 1644*z - 3272 = 0 for z.
2, 409
Factor 2*w**3 + 110*w**2 - 1634*w - 114638.
2*(w - 31)*(w + 43)**2
Suppose 5*o**3 - 485*o**2 - 990*o = 0. Calculate o.
-2, 0, 99
Determine s, given that 2*s**2/9 + 604*s/9 + 45602/9 = 0.
-151
What is o in 2*o**3/5 - 26*o/5 - 24/5 = 0?
-3, -1, 4
Factor -4*d**4 - 8*d**3 + 12*d**2.
-4*d**2*(d - 1)*(d + 3)
Find m such that 2*m**3/15 - 14*m**2/5 + 12*m/5 + 16/3 = 0.
-1, 2, 20
Determine q, given that 25*q**4/3 - 220*q**3/3 + 78*q**2 + 180*q + 63 = 0.
-3/5, 3, 7
Let -n**2/4 - 9*n/2 - 8 = 0. Calculate n.
-16, -2
Factor -3*b**2/4 + 2331*b - 1811187.
-3*(b - 1554)**2/4
Factor 5*q**4 + 120*q**3 + 795*q**2 + 1880*q + 1200.
5*(q + 1)*(q + 4)**2*(q + 15)
Factor -16*q**3 - 196*q**2 - 224*q - 44.
-4*(q + 1)*(q + 11)*(4*q + 1)
Factor 2*a**5/3 + 2*a**4/3 - 2*a**3 - 10*a**2/3 - 4*a/3.
2*a*(a - 2)*(a + 1)**3/3
Solve 2*j**2/5 - 3152*j/5 + 1241888/5 = 0.
788
Factor 3*z**2/5 - 9*z/5 - 6.
3*(z - 5)*(z + 2)/5
Suppose -3*h**2 - 33*h - 54 = 0. What is h?
-9, -2
Factor 5*i**3 - 45*i**2 + 115*i - 75.
5*(i - 5)*(i - 3)*(i - 1)
Let -d**2/3 - 125*d/3 = 0. Calculate d.
-125, 0
Find z such that -3*z**2/2 - 63*z/2 + 69 = 0.
-23, 2
Find c, given that 5*c**3 - 140*c**2 - 295*c - 150 = 0.
-1, 30
Factor u**2 + 474*u + 56169.
(u + 237)**2
Factor k**2/4 - 279*k/4 - 283.
(k - 283)*(k + 4)/4
Let -2*a**2/11 - 6852*a/11 + 13712/11 = 0. Calculate a.
-3428, 2
Factor 3*w**4/5 + 93*w**3/5 + 336*w**2/5 + 324*w/5.
3*w*(w + 2)**2*(w + 27)/5
Factor 2*m**4 + 6*m**3 + 2*m**2 - 6*m - 4.
2*(m - 1)*(m + 1)**2*(m + 2)
Solve -2*p**4/3 - 2*p**3/3 + 52*p**2/3 - 16*p = 0 for p.
-6, 0, 1, 4
Let -2*j**5 + 4*j**4/7 + 6*j**3 - 40*j**2/7 + 8*j/7 = 0. What is j?
-2, 0, 2/7, 1
Factor -2*i**5 - 4*i**4 + 14*i**3 - 8*i**2.
-2*i**2*(i - 1)**2*(i + 4)
Determine b, given that 2*b**2/11 + 16*b/11 - 40/11 = 0.
-10, 2
Factor -d**4 - 68*d**3 - 1156*d**2.
-d**2*(d + 34)**2
Find g, given that g**4/2 - 133*g**3/4 - 645*g**2/4 + 421*g/4 + 355/4 = 0.
-5, -1/2, 1, 71
What is m in -3*m**3 + 3*m**2 = 0?
0, 1
Suppose -105*g**5 + 430*g**4 - 375*g**3 + 90*g**2 = 0. What is g?
0, 3/7, 2/3, 3
Solve 4*l**5 + 104*l**4 + 152*l**3 - 6464*l**2 + 21828*l - 20808 = 0.
-17, 2, 3
Suppose 2*y**5/9 + 58*y**4/9 + 478*y**3/9 + 398*y**2/9 - 608*y + 504 = 0. Calculate y.
-14, -9, 1, 2
Factor 5*w**4 - 5*w**3 - 10*w**2.
5*w**2*(w - 2)*(w + 1)
Suppose 7*x**4 - 47*x**3 + 98*x**2 - 52*x - 24 = 0. Calculate x.
-2/7, 2, 3
Find o, given that o**2/2 + o/2 = 0.
-1, 0
Factor 2*y**4/13 + 330*y**3/13 - 666*y**2/13 + 334*y/13.
2*y*(y - 1)**2*(y + 167)/13
Factor -2*y**4 - 80*y**3 - 768*y**2 + 1280*y + 12800.
-2*(y - 4)*(y + 4)*(y + 20)**2
Factor k**3 - k**2 - 2*k.
k*(k - 2)*(k + 1)
Let 5*d**2 + 125*d - 2470 = 0. What is d?
-38, 13
Solve -2*c**4/3 - 68*c**3 - 392*c**2 + 412972*c/3 + 3529470 = 0 for c.
-49, 45
Factor 3*l**4 + 9*l**3 + 3*l**2 - 9*l - 6.
3*(l - 1)*(l + 1)**2*(l + 2)
Solve 98*d**5 - 1204*d**4/5 + 170*d**3 - 16*d**2/5 - 152*d/5 + 32/5 = 0 for d.
-2/5, 2/7, 4/7, 1
Let 4*r**2 - 500*r + 496 = 0. Calculate r.
1, 124
Find t, given that -2*t**2/3 + 26*t + 80/3 = 0.
-1, 40
Factor -k**4/5 + k**3 - 7*k**2/5 + 3*k/5.
-k*(k - 3)*(k - 1)**2/5
Suppose -n**4/3 + 23*n**3/6 - 12*n**2 + 21*n/2 = 0. Calculate n.
0, 3/2, 3, 7
Factor -l**3/4 - 19*l**2 - 149*l/4 - 37/2.
-(l + 1)**2*(l + 74)/4
Find t, given that -2*t**2 - 22*t + 24 = 0.
-12, 1
Find v, given that -5*v**5/2 - 49*v**4/2 + 65*v**3 - 12*v**2 = 0.
-12, 0, 1/5, 2
Let 3*j**5/5 + 9*j**4/5 - 6*j**3/5 - 36*j**2/5 - 24*j/5 = 0. Calculate j.
-2, -1, 0, 2
Solve -10*l**5 - 5*l**4 + 50*l**3 + 25*l**2 - 40*l - 20 = 0 for l.
-2, -1, -1/2, 1, 2
Factor -3*d**2/7 - 22542*d/7 - 42345147/7.
-3*(d + 3757)**2/7
Find r such that -4*r**4 + 52*r**3 - 204*r**2 + 140*r + 400 = 0.
-1, 4, 5
Suppose 2*j**3/17 - 90*j**2/17 + 916*j/17 - 1488/17 = 0. What is j?
2, 12, 31
Determine z, given that 2*z**3 - 10*z**2 - 26*z - 14 = 0.
-1, 7
Find n, given that -2*n**3 - 3084*n**2 + 6174*n - 3088 = 0.
-1544, 1
Factor -4*w**4 + 280*w**3 - 268*w**2 - 552*w.
-4*w*(w - 69)*(w - 2)*(w + 1)
Factor -5*u**3/2 + 35*u**2/2 - 35*u/2 - 75/2.
-5*(u - 5)*(u - 3)*(u + 1)/2
Let -30*n**2/11 + 116*n/11 + 16/11 = 0. What is n?
-2/15, 4
Factor 16*r**3 - 116*r**2 - 100*r + 32.
4*(r - 8)*(r + 1)*(4*r - 1)
Factor 2*j**2/7 + 92*j/7 + 90/7.
2*(j + 1)*(j + 45)/7
Factor 128*q**3/11 + 3232*q**2/11 + 802*q/11 + 50/11.
2*(q + 25)*(8*q + 1)**2/11
Factor -3*i**4 + 6*i**3 - 6*i + 3.
-3*(i - 1)**3*(i + 1)
Determine q, given that -9*q**4 - 11*q**3 - 2*q**2 = 0.
-1, -2/9, 0
Solve -q**3/6 + 17*q**2/6 - 5*q = 0.
0, 2, 15
Factor -4*r**4 + 28*r**3 + 40*r**2 - 64*r.
-4*r*(r - 8)*(r - 1)*(r + 2)
Factor r**5 + 35*r**4 + 323*r**3 + 289*r**2.
r**2*(r + 1)*(r + 17)**2
Suppose -3*g**4/2 - 225*g**3 - 14475*g**2/2 + 90000*g - 240000 = 0. What is g?
-80, 5
Factor a**4/2