6*l**2 - 1372*l + 1020.
-4*(l - 85)*(l - 3)*(l - 1)
What is w in -25*w**5 - 310*w**4 + 230*w**3 + 440*w**2 - 205*w - 130 = 0?
-13, -1, -2/5, 1
Let s**4/4 + 3*s**3/4 + s**2/2 = 0. What is s?
-2, -1, 0
Factor 2*q**4 - 30*q**3 + 74*q**2 + 246*q + 140.
2*(q - 10)*(q - 7)*(q + 1)**2
What is r in -2*r**2/13 + 42*r/13 - 40/13 = 0?
1, 20
Factor 3*c**3 + 81*c**2 - 567*c + 891.
3*(c - 3)**2*(c + 33)
Find n such that 4*n**3/3 + 64*n**2 - 4*n/3 - 64 = 0.
-48, -1, 1
Factor 2*a**2 + 2*a - 40.
2*(a - 4)*(a + 5)
Factor -3*k**2 - 78*k + 261.
-3*(k - 3)*(k + 29)
Let 3*j**3 - 18675*j**2 + 29072304*j - 29053632 = 0. Calculate j.
1, 3112
Factor -2*g**3 - 18*g**2 + 194*g + 210.
-2*(g - 7)*(g + 1)*(g + 15)
Factor -3*k**2 - 8*k - 4.
-(k + 2)*(3*k + 2)
What is i in 4*i**3 + 180*i**2 + 2112*i + 1936 = 0?
-22, -1
Factor 5*h**3 - 195*h**2 + 1750*h.
5*h*(h - 25)*(h - 14)
Factor d**2/5 - 9/5.
(d - 3)*(d + 3)/5
Factor -p**4 - 46*p**3 - 612*p**2 - 1890*p - 1323.
-(p + 1)*(p + 3)*(p + 21)**2
Let -242*w**3/15 - 1078*w**2/15 - 676*w/15 + 32/3 = 0. Calculate w.
-40/11, -1, 2/11
Factor -2*s**4 + 3160*s**3 - 1872300*s**2 + 493039000*s - 48687601250.
-2*(s - 395)**4
Suppose -3*w**5/2 + 39*w**4/2 - 63*w**3 + 87*w**2 - 111*w/2 + 27/2 = 0. What is w?
1, 9
Factor -5*l**2 - 12990*l - 8437005.
-5*(l + 1299)**2
Let p**5/4 - 4*p**4 - 35*p**3/4 - 9*p**2/2 = 0. What is p?
-1, 0, 18
Let -6*i**5 - 105*i**4/2 - 45*i**3/2 + 105*i**2 - 24*i = 0. What is i?
-8, -2, 0, 1/4, 1
Factor 2*n**3/3 + 24*n**2 + 166*n - 572/3.
2*(n - 1)*(n + 11)*(n + 26)/3
Suppose 27*p**4/4 - 9*p**3/2 - 33*p**2/4 + 3*p + 3 = 0. What is p?
-2/3, 1
Determine m, given that -m**4/4 - 504*m**3 - 256024*m**2 - 2024064*m - 4032064 = 0.
-1004, -4
Find z such that 2450*z**5/11 - 26530*z**4/11 + 54198*z**3/11 + 98082*z**2/11 + 15552*z/11 + 648/11 = 0.
-1, -3/35, 6
Factor -4*v**3/5 - 2*v**2/5 + 14*v/5 + 12/5.
-2*(v - 2)*(v + 1)*(2*v + 3)/5
Factor 2*z**2/13 - 10*z/13 - 352/13.
2*(z - 16)*(z + 11)/13
Let -2*r**3/7 - 30*r**2/7 - 100*r/7 = 0. What is r?
-10, -5, 0
Factor -4*l**4 + 12*l**3 + 7*l**2 - 48*l + 36.
-(l - 2)*(l + 2)*(2*l - 3)**2
Factor 2*p**2/9 - 172*p/9 + 170/9.
2*(p - 85)*(p - 1)/9
Solve 4*h**4 + 4*h**3 = 0 for h.
-1, 0
Let 4*v**2 + 16*v + 12 = 0. Calculate v.
-3, -1
Suppose -j**4 + 876*j**3 - 190966*j**2 - 384564*j - 192721 = 0. Calculate j.
-1, 439
Let -2*o**2/5 + 302*o/5 + 304/5 = 0. Calculate o.
-1, 152
Factor -5*x**4/4 - 125*x**3/4 - 30*x**2.
-5*x**2*(x + 1)*(x + 24)/4
Determine h so that -2*h**5 + 6*h**4 + 2*h**3 - 6*h**2 = 0.
-1, 0, 1, 3
What is u in u**2/5 + 1027*u/5 + 1026/5 = 0?
-1026, -1
Solve -a**2/12 + 127*a/6 - 16129/12 = 0 for a.
127
Factor g**2/6 - 19*g/3 + 37/6.
(g - 37)*(g - 1)/6
Factor -d**4/7 + 9*d**3/7 - 20*d**2/7 + 12*d/7.
-d*(d - 6)*(d - 2)*(d - 1)/7
Factor -2*k**3/9 + 926*k**2/9 + 9410*k/9 + 23650/9.
-2*(k - 473)*(k + 5)**2/9
Let -2*u**3/9 - 64*u**2/9 + 134*u/9 - 68/9 = 0. What is u?
-34, 1
Factor s**4/3 - 232*s**3 + 463*s**2 - 694*s/3.
s*(s - 694)*(s - 1)**2/3
Factor 5*r**5 - 20*r**4 - 10*r**3 + 60*r**2 + 45*r.
5*r*(r - 3)**2*(r + 1)**2
Factor -14*b**4/9 + 298*b**3/9 - 284*b**2/9.
-2*b**2*(b - 1)*(7*b - 142)/9
Find b such that -3*b**4/2 + 3*b**3 + 48*b**2 - 144*b = 0.
-6, 0, 4
Find z such that z**2/4 - 79*z/2 + 154 = 0.
4, 154
Factor -4*o**3 + 836*o**2.
-4*o**2*(o - 209)
Solve 12*q**4/7 + 40*q**3/7 - 96*q**2/7 - 360*q/7 - 108/7 = 0.
-3, -1/3, 3
Factor o**5/4 + o**4/2 - 7*o**3/4 + o**2.
o**2*(o - 1)**2*(o + 4)/4
Let 4*r**4/9 + 68*r**3/9 + 92*r**2/9 - 404*r/9 + 80/3 = 0. What is r?
-15, -4, 1
Suppose -2*a**5/15 + 28*a**4/15 - 4*a**3/3 - 16*a**2/3 + 22*a/15 + 52/15 = 0. Calculate a.
-1, 1, 2, 13
Factor 4*h**4/5 + 20*h**3 + 172*h**2/5 - 276*h/5.
4*h*(h - 1)*(h + 3)*(h + 23)/5
Solve 3*c**2/2 + 435*c/2 + 216 = 0.
-144, -1
Factor -4*g**2/9 + 76*g/9.
-4*g*(g - 19)/9
Let -2*z**4/15 + 4*z**3/15 + 2*z**2/15 - 4*z/15 = 0. What is z?
-1, 0, 1, 2
What is a in 6*a**5/7 + 16*a**4 + 66*a**3/7 - 16*a**2 - 72*a/7 = 0?
-18, -1, -2/3, 0, 1
What is h in -h**4/4 + 3*h**3/2 - 13*h**2/4 + 3*h - 1 = 0?
1, 2
Find x, given that 2*x**3/9 + 100*x**2/3 + 2014*x/9 + 572/3 = 0.
-143, -6, -1
Factor -h**3 + 948*h**2 - 299568*h + 31554496.
-(h - 316)**3
Solve 3*x**3/4 - 3*x**2/4 - 51*x/4 - 45/4 = 0.
-3, -1, 5
Let -2*h**3/11 + 20*h**2/11 - 46*h/11 + 28/11 = 0. Calculate h.
1, 2, 7
What is l in -l**2 - 154*l + 471 = 0?
-157, 3
Factor j**2/5 + j - 24/5.
(j - 3)*(j + 8)/5
Suppose -h**2 + 964*h - 232324 = 0. Calculate h.
482
Find i, given that 2*i**5/7 - 12*i**4/7 - 18*i**3/7 + 4*i**2 = 0.
-2, 0, 1, 7
Factor -3*q**4 + 1974*q**3 - 326691*q**2 + 647472*q - 322752.
-3*(q - 328)**2*(q - 1)**2
Determine y so that 4*y**2 + 8928*y = 0.
-2232, 0
Suppose -2*n**2/13 - 34*n/13 - 132/13 = 0. Calculate n.
-11, -6
Let -5*t**4 - 50*t**3 + 60*t**2 + 50*t - 55 = 0. What is t?
-11, -1, 1
Let 5*b**4 - 45*b**3 + 120*b**2 - 80*b = 0. Calculate b.
0, 1, 4
Let -3*a**2 - 8874*a - 6562323 = 0. Calculate a.
-1479
What is q in 5*q**3/3 - 35*q**2/3 - 40*q/3 = 0?
-1, 0, 8
Let 3*s**2/2 + 6*s - 15/2 = 0. Calculate s.
-5, 1
Factor 2*x**4 + 12*x**3 + 6*x**2 - 20*x.
2*x*(x - 1)*(x + 2)*(x + 5)
Let -g**2 + 133*g = 0. What is g?
0, 133
Find c, given that 2*c**3/15 - 4*c**2/3 + 56*c/15 - 16/5 = 0.
2, 6
Factor -2*r**2/3 + 11756*r/3 - 17275442/3.
-2*(r - 2939)**2/3
Suppose 2*c**2 + 190*c/3 - 476/3 = 0. Calculate c.
-34, 7/3
Factor -v**2 + 65*v/3 - 14.
-(v - 21)*(3*v - 2)/3
Determine r so that -r**3 + 2*r**2 + r - 2 = 0.
-1, 1, 2
Let t**2/3 + 28*t/3 - 29/3 = 0. Calculate t.
-29, 1
Suppose o**3/5 - o**2 - 8*o/5 + 12/5 = 0. What is o?
-2, 1, 6
Solve 5*p**5 + 45*p**4 + 115*p**3 + 35*p**2 - 120*p - 80 = 0 for p.
-4, -1, 1
Let -2*x**3/5 + 142*x**2/5 - 2448*x/5 - 2592/5 = 0. Calculate x.
-1, 36
Let 4*i**3 + 132*i**2 - 448*i - 576 = 0. Calculate i.
-36, -1, 4
Find x, given that -4*x**5/11 - 18*x**4/11 + 238*x**3/11 - 510*x**2/11 + 18*x = 0.
-11, 0, 1/2, 3
Factor 2*v**2 + 8124*v + 8249922.
2*(v + 2031)**2
Factor -4*c**3 + 136*c**2 - 1280*c + 2048.
-4*(c - 16)**2*(c - 2)
Factor 4*m**3 + 40*m**2 + 28*m - 72.
4*(m - 1)*(m + 2)*(m + 9)
Factor -g**4/4 - 11*g**3/4 - 5*g**2/2.
-g**2*(g + 1)*(g + 10)/4
Suppose -c**4/2 - 51*c**3 - 50*c**2 + 51*c + 101/2 = 0. Calculate c.
-101, -1, 1
Factor -3*m**4 + 75*m**3 - 198*m**2 - 12*m + 264.
-3*(m - 22)*(m - 2)**2*(m + 1)
Factor 2*y**2/5 + 38*y/5 - 8.
2*(y - 1)*(y + 20)/5
Suppose -p**5/3 - 11*p**4/3 - 47*p**3/3 - 97*p**2/3 - 32*p - 12 = 0. Calculate p.
-3, -2, -1
Solve -3*d**3/2 - 279*d**2 + 561*d/2 = 0.
-187, 0, 1
Factor 4*l**5/3 - 16*l**3/3 + 8*l**2/3 + 4*l - 8/3.
4*(l - 1)**3*(l + 1)*(l + 2)/3
Factor -2*g**3 + 42*g**2 - 208*g + 168.
-2*(g - 14)*(g - 6)*(g - 1)
Suppose -i**4/2 + 5*i**3 + 13*i**2/2 - 11*i = 0. What is i?
-2, 0, 1, 11
Let q**2 + 5629*q = 0. Calculate q.
-5629, 0
Factor -4*i**3/7 - 26*i**2/7 - 44*i/7 - 16/7.
-2*(i + 2)*(i + 4)*(2*i + 1)/7
Let 121*r**5 + 319*r**4 - 128*r**3 + 12*r**2 = 0. What is r?
-3, 0, 2/11
Factor 5*f**4 + 3650*f**3 - 10980*f**2 + 10990*f - 3665.
5*(f - 1)**3*(f + 733)
Factor u**5/5 - 208*u**4/5 + 413*u**3/5 - 206*u**2/5.
u**2*(u - 206)*(u - 1)**2/5
Determine d so that -3*d**4 - 345*d**3 - 12987*d**2 - 150579*d + 355914 = 0.
-39, 2
Factor -4*s**4 - 164*s**3 - 2340*s**2 - 12844*s - 17576.
-4*(s + 2)*(s + 13)**3
Find n such that -n**2/8 + 45*n/2 + 91/2 = 0.
-2, 182
Solve 2*y**3/5 - 196*y**2/5 + 38*y + 388/5 = 0.
-1, 2, 97
Let -5*k**2 - 9000*k - 4050000 = 0. What is k?
-900
Factor 5*w**2 + 2805*w.
5*w*(w + 561)
Determine a so that -4*a**2/7 - 4*a/7 + 48/7 = 0.
-4, 3
Determine u, given that 2*u**2/13 - 544*u/13 + 36992/13 = 0.
136
Determine w so that -105*w**3 - 730*w**2 - 595*w + 30 = 0.
-6, -1, 1/21
Factor q**3/2 - 51*q**2/2 + 22*q + 150.
(q - 50)*(q - 3)*(q + 2)/2
Solve -3*w**2 + 102*w + 105 = 0 for w.
-1, 35
Factor -156775323*z**2/5 + 86748*z/5 - 12/5.
-3*(7229*z - 2)**2/5
Factor -2*x**2/3 - 112*x/3 - 1568/3.
-2*(x + 28)**2/3
Factor 25*p**3 - 85*p**2 + 80*p - 20.
5*(p - 2)*(p - 1)*(5*p - 2)
Factor 65*j**2 - 315*j - 50.
5*(j - 5)*(13*j + 2)
What is p in -2*p**3/9 + 4*p**2 = 0?
0, 18
What is v in 4*v**4/9 - 4*v**3/9 - 16*v**2/3 = 0?
-3, 0, 4
Factor -35*v**4 + 40*v**3 + 65*v**2 - 10*v.
-5*v*(v - 2)*(v + 1)*(7*v - 1)
Suppose a**4/2 + a**3/2 - a**2/2 - a/2 = 0. What is a?
-1, 0, 1
Suppose 6*b**4/11 - 96*b**3/11 + 312*b**2