6*u**2 - 744*u = 0.
-62, -4, 0, 1
Find p such that 2*p**4 - 292*p**3 + 7338*p**2 + 242360*p + 1377800 = 0.
-10, 83
Find u, given that 24*u**4 - 76*u**3 - 256*u**2 + 124*u + 280 = 0.
-2, -1, 7/6, 5
Determine k, given that -4*k**5/3 - 116*k**4 - 7016*k**3/3 + 8216*k**2 + 2340*k - 8100 = 0.
-45, -1, 1, 3
Factor 4*m**2/3 - 256*m/3 + 84.
4*(m - 63)*(m - 1)/3
Determine n so that -15*n**2 + 126*n - 216 = 0.
12/5, 6
Let -4*a**2 - 1680*a = 0. What is a?
-420, 0
Solve 2*g**5 + 24*g**4 + 42*g**3 - 196*g**2 = 0.
-7, 0, 2
Suppose 3*n**2/5 + 2424*n/5 - 2427/5 = 0. Calculate n.
-809, 1
Factor 2*m**3/7 - 12*m**2/7 + 24*m/7 - 16/7.
2*(m - 2)**3/7
Suppose g**3/5 - g**2 - g/5 + 1 = 0. Calculate g.
-1, 1, 5
Solve -2*g**5 + 54*g**3 - 100*g**2 + 48*g = 0 for g.
-6, 0, 1, 4
Let -3*z**2 + 2598*z + 2601 = 0. Calculate z.
-1, 867
Factor -5*k**3 + 10*k**2 + 255*k + 540.
-5*(k - 9)*(k + 3)*(k + 4)
Factor 63*k**2 - 23064*k + 2196.
3*(k - 366)*(21*k - 2)
Factor 4*k**2 - 820*k - 824.
4*(k - 206)*(k + 1)
Factor -2*i**2 - 5872*i - 4310048.
-2*(i + 1468)**2
Solve 2*u**3 + 298*u**2 - 602*u + 302 = 0.
-151, 1
Suppose -2*n**2/9 - 124*n/3 + 1520/9 = 0. What is n?
-190, 4
Factor 3*q**4 - 471*q**3/4 + 117*q**2/4.
3*q**2*(q - 39)*(4*q - 1)/4
Find z, given that z**5 - 5*z**4 + 5*z**3 + 5*z**2 - 6*z = 0.
-1, 0, 1, 2, 3
Solve 2*o**5/9 - 4*o**4/9 - 22*o**3/9 + 8*o**2/3 = 0 for o.
-3, 0, 1, 4
Solve 3*x**3/10 - 10*x**2 + 367*x/10 + 29 = 0 for x.
-2/3, 5, 29
Factor -3*t**3 + 246*t**2 + 759*t + 510.
-3*(t - 85)*(t + 1)*(t + 2)
Suppose -x**3 + 37*x**2 + 638*x + 600 = 0. What is x?
-12, -1, 50
Let 5*l**2 + 8820*l + 3889620 = 0. What is l?
-882
Factor -c**3 + 203*c**2 - 10200*c - 10404.
-(c - 102)**2*(c + 1)
Factor -2*u**2/11 + 502*u/11 + 92.
-2*(u - 253)*(u + 2)/11
Factor -3*t**3 + 1326*t**2 - 145188*t - 295704.
-3*(t - 222)**2*(t + 2)
Find z such that -5*z**2 - 1365*z + 1370 = 0.
-274, 1
Factor -x**2 + 508*x + 509.
-(x - 509)*(x + 1)
Find w, given that w**3/3 + 10*w**2/3 + 3*w = 0.
-9, -1, 0
Factor 4*n**2 + 268*n + 264.
4*(n + 1)*(n + 66)
Factor 9*z**3/2 + 159*z**2/2 + 351*z/2 - 135/2.
3*(z + 3)*(z + 15)*(3*z - 1)/2
Let 2*g**2/5 + 912*g/5 + 2718/5 = 0. Calculate g.
-453, -3
Factor -5*u**3 + 36316*u**2 + 145276*u/5 + 29056/5.
-(u - 7264)*(5*u + 2)**2/5
Let -5*i**4 + 100*i**3 + 15*i**2 - 310*i + 200 = 0. Calculate i.
-2, 1, 20
Find w such that -5*w**3 - 10*w**2 + 20*w + 40 = 0.
-2, 2
Factor w**4 + 91*w**3 + 2024*w**2 - 2116*w.
w*(w - 1)*(w + 46)**2
Suppose 2*h**2/11 + 106*h = 0. Calculate h.
-583, 0
Determine h so that h**4/4 + 85*h**3/8 + 19*h**2/4 - 171*h/8 - 63/4 = 0.
-42, -1, 3/2
Suppose d**5/3 - 2*d**4 + 22*d**2/3 + 5*d = 0. Calculate d.
-1, 0, 3, 5
Suppose -9*f**5 + 33*f**4 - 24*f**3 - 12*f**2 = 0. What is f?
-1/3, 0, 2
Factor -4*r**2 - 368*r - 8364.
-4*(r + 41)*(r + 51)
Let -28*o**5 - 142*o**4 + 2714*o**3/7 + 404*o**2/7 - 520*o/7 - 16 = 0. Calculate o.
-7, -2/7, 1/2, 2
Solve 2*j**2/5 + 474*j/5 - 956/5 = 0.
-239, 2
What is r in -3*r**4/5 + 9*r**3/5 + 6*r**2 = 0?
-2, 0, 5
Factor -4*h**3 - 2160*h**2 + 2164*h.
-4*h*(h - 1)*(h + 541)
Factor -15*w**2/8 - 13*w/8 + 1/4.
-(w + 1)*(15*w - 2)/8
Factor 2*s**4/9 - 20*s**3/9 + 58*s**2/9 - 16*s/9 - 32/3.
2*(s - 4)**2*(s - 3)*(s + 1)/9
Find f such that 2*f**4/7 - 4*f**3/7 - 10*f**2/7 + 12*f/7 = 0.
-2, 0, 1, 3
Let v**4 - 3*v**3 + 2*v**2 = 0. What is v?
0, 1, 2
Factor -4*n**2 + 128*n - 448.
-4*(n - 28)*(n - 4)
Find q such that -5*q**2 - 3000*q - 450000 = 0.
-300
Solve -2*m**3/7 + 18*m**2/7 - 40*m/7 = 0.
0, 4, 5
Factor 2*a**4 - 14*a**3 + 12*a**2 + 64*a - 64.
2*(a - 4)**2*(a - 1)*(a + 2)
Let -4*l**4/5 + 552*l**3/5 - 544*l**2/5 - 552*l/5 + 548/5 = 0. What is l?
-1, 1, 137
Let 3*y**5 - 3135*y**4 + 1229310*y**3 - 214581150*y**2 + 14134766895*y - 13921411923 = 0. What is y?
1, 261
Suppose -5*c**4 - 135*c**3 - 1085*c**2 - 1485*c + 8470 = 0. What is c?
-11, -7, 2
Solve -15*v**5 - 40*v**4 + 85*v**3 + 10*v**2 - 40*v = 0.
-4, -2/3, 0, 1
Suppose 112*z**4/9 + 14260*z**3/9 + 4550*z**2/9 - 2800*z/9 - 254/3 = 0. What is z?
-127, -1/2, -1/4, 3/7
Determine q, given that 4*q**5/11 - 6*q**4 - 46*q**3/11 + 190*q**2/11 + 234*q/11 + 68/11 = 0.
-1, -1/2, 2, 17
Let -3*w**2 + 3324*w = 0. What is w?
0, 1108
Factor -y**4/3 - 247*y**3 - 739*y**2 - 2215*y/3 - 246.
-(y + 1)**3*(y + 738)/3
Factor -q**4 - 44*q**3 - 123*q**2 + 4*q + 164.
-(q - 1)*(q + 2)**2*(q + 41)
Let -p**4/2 - 215*p**3/2 - 427*p**2/2 - 213*p/2 = 0. What is p?
-213, -1, 0
Factor n**3/5 - 636*n**2/5 - 637*n/5.
n*(n - 637)*(n + 1)/5
Solve -2*l**4/9 - l**3/3 + l/9 = 0 for l.
-1, 0, 1/2
Suppose u**2/4 + 3*u/4 = 0. Calculate u.
-3, 0
Solve -3*g**2/7 - 9*g/7 + 12/7 = 0 for g.
-4, 1
Factor -5*x**4 + 80*x**3 - 315*x**2.
-5*x**2*(x - 9)*(x - 7)
Factor -4*y**3 + 168*y**2 - 1260*y + 2376.
-4*(y - 33)*(y - 6)*(y - 3)
Let y**3/7 + 60*y**2/7 + 900*y/7 = 0. Calculate y.
-30, 0
Determine f so that -2*f**4/11 + 30*f**3/11 - 8*f**2 = 0.
0, 4, 11
Factor 5*i**3 - 75*i**2.
5*i**2*(i - 15)
Determine f, given that -3*f**2 - 711*f - 2106 = 0.
-234, -3
Let 14*r**5 - 10*r**4 - 28*r**3 + 20*r**2 + 14*r - 10 = 0. What is r?
-1, 5/7, 1
Find s such that 2*s**5 + 3*s**4 - s**2 = 0.
-1, 0, 1/2
Factor -9*s**3 + 74*s**2 - 160*s + 32.
-(s - 4)**2*(9*s - 2)
Suppose 5*f**5 - 110*f**4 - 20*f**3 + 440*f**2 = 0. What is f?
-2, 0, 2, 22
Let 2*u**4/7 - 4*u**3 + 10*u**2/7 + 232*u/7 - 312/7 = 0. What is u?
-3, 2, 13
Solve -4*l**3/13 + 74*l**2/13 - 32*l + 640/13 = 0.
5/2, 8
Determine f so that -5*f**2 - 10*f + 315 = 0.
-9, 7
Solve -3*n**3/5 - 3*n**2 - 18*n/5 = 0 for n.
-3, -2, 0
Find u such that 5*u**5 - 665*u**4 - 685*u**3 + 1985*u**2 + 3340*u + 1340 = 0.
-1, 2, 134
Factor 2*d**3 - 58*d**2 - 484*d - 720.
2*(d - 36)*(d + 2)*(d + 5)
Factor g**3/5 - 7*g/5 - 6/5.
(g - 3)*(g + 1)*(g + 2)/5
What is q in 2*q**3/9 + 22*q**2/9 + 10*q/3 - 6 = 0?
-9, -3, 1
Factor 4*g**2 - 780*g + 3800.
4*(g - 190)*(g - 5)
What is v in 3*v**4/5 - 15*v**3 - 348*v**2/5 = 0?
-4, 0, 29
Solve 4*d**3 + 40*d**2 = 0 for d.
-10, 0
Determine k, given that 5*k**2/2 - 90*k + 1015/2 = 0.
7, 29
Suppose -p**4 - 9*p**3 - 25*p**2 - 27*p - 10 = 0. Calculate p.
-5, -2, -1
Factor -2*q**4/9 + 308*q**3/3 - 920*q**2/3 + 2756*q/9 - 102.
-2*(q - 459)*(q - 1)**3/9
Determine u, given that -26*u**2 - 6834*u + 1052 = 0.
-263, 2/13
Solve 4*p**3/7 + 180*p**2/7 - 192*p/7 - 368/7 = 0.
-46, -1, 2
Factor -4*s**3 + 972*s + 5832.
-4*(s - 18)*(s + 9)**2
Factor i**4/4 + 25*i**3/4 + 81*i**2/4 - 945*i/4 + 675/2.
(i - 3)*(i - 2)*(i + 15)**2/4
Factor -2*z**3/7 - 32*z**2/7 - 26*z/7 + 60/7.
-2*(z - 1)*(z + 2)*(z + 15)/7
Let -5*f**4 + 30*f**3 + 2035*f**2 - 6240*f + 4180 = 0. Calculate f.
-19, 1, 2, 22
Solve 4*f**3 + 132*f**2 + 1452*f + 5324 = 0.
-11
Factor 4*w**2/5 - 40*w.
4*w*(w - 50)/5
Factor -2*k**4 + 82*k**3 - 366*k**2 - 10450*k - 10000.
-2*(k - 25)**2*(k + 1)*(k + 8)
Factor -3*f**4/2 + 156*f**3 - 5184*f**2 + 46656*f + 279936.
-3*(f - 36)**3*(f + 4)/2
Solve 2*r**2/3 + 28*r - 86/3 = 0 for r.
-43, 1
Solve j**3 - 103*j**2 - 104*j = 0 for j.
-1, 0, 104
Factor 5*f**5/3 - 120*f**4 + 6830*f**3/3 - 4200*f**2 + 6125*f/3.
5*f*(f - 35)**2*(f - 1)**2/3
Factor 20*g**3 + 688*g**2 - 428*g - 280.
4*(g - 1)*(g + 35)*(5*g + 2)
Suppose 3*m**2 - 96*m + 336 = 0. Calculate m.
4, 28
Factor -2*z**4/7 + 20*z**3/7 - 48*z**2/7 + 44*z/7 - 2.
-2*(z - 7)*(z - 1)**3/7
Factor 5*m**3 + 810*m**2 - 1635*m + 820.
5*(m - 1)**2*(m + 164)
Let -3*a**3 - 15147*a**2 - 25492401*a - 14301236961 = 0. Calculate a.
-1683
Let -3*z**4 + 75*z**3 - 456*z**2 + 816*z = 0. Calculate z.
0, 4, 17
Let -2*x**5 + 2*x**4 + 42*x**3 - 2*x**2 - 40*x = 0. Calculate x.
-4, -1, 0, 1, 5
What is p in -2*p**5 - 306*p**4 + 310*p**3 + 306*p**2 - 308*p = 0?
-154, -1, 0, 1
Factor -g**2/9 + 100*g + 901/9.
-(g - 901)*(g + 1)/9
Factor 7*f**2 + 69*f - 286.
(f + 13)*(7*f - 22)
Factor s**3/4 - 15*s**2/4 - 16*s + 45.
(s - 18)*(s - 2)*(s + 5)/4
Factor -4*t**4 + 24*t**3 - 48*t**2 + 40*t - 12.
-4*(t - 3)*(t - 1)**3
Factor 4*z**2 - 1176*z - 1180.
4*(z - 295)*(z + 1)
Factor -3*l**3 + 6*l**2 + 27*l - 54.
-3*(l - 3)*(l - 2)*(l + 3)
Find p such that p**4/6 + 7*p**3/2 + 23*p**2 + 140*p/3 = 0.
-10, -7, -4, 0
Factor 5*f**3 + 690*f**2 + 1365*f + 680.
5*(f + 1)**2*(f + 136)
Solve 2*x**2 + 60*x + 450 = 0 for x.
-15
Suppose -5*c**4 + 5*c**3 + 35*c**2 - 5*c - 30 = 0. Calculate c.
-2, -1, 1, 3
Suppose -2*b**3/11 - 2412*b**