0
Suppose 6*n**5/7 + 66*n**4/7 + 192*n**3/7 + 24*n**2 = 0. What is n?
-7, -2, 0
Determine m so that 2*m**5 + 4*m**4 - 2*m**3 - 4*m**2 = 0.
-2, -1, 0, 1
Factor -4*t**5 + 8*t**3 - 4*t.
-4*t*(t - 1)**2*(t + 1)**2
Let -26*x**2 - 359*x + 70 = 0. Calculate x.
-14, 5/26
Factor -15*p**3/7 - 123*p**2/7 - 24*p/7.
-3*p*(p + 8)*(5*p + 1)/7
Factor -5*s**4 + 15*s**3.
-5*s**3*(s - 3)
Factor -5*d**2 - 125*d + 270.
-5*(d - 2)*(d + 27)
Determine l so that 200*l**4 + 204*l**3 - 196*l**2 - 204*l - 4 = 0.
-1, -1/50, 1
Factor 3*a**2/2 + 27*a/2 + 30.
3*(a + 4)*(a + 5)/2
Factor 3*i**5/8 + 21*i**4 - 1287*i**3 - 44268*i**2 + 1666374*i.
3*i*(i - 34)**2*(i + 62)**2/8
Factor 2*l**2 + 8*l.
2*l*(l + 4)
Let t**3/2 + 225*t**2/2 + 16875*t/2 + 421875/2 = 0. What is t?
-75
Solve -3*p**4 + 12*p**3 - 9*p**2 = 0.
0, 1, 3
Suppose -2*k**4/3 - 4*k**3 + 24*k**2 + 172*k/3 + 30 = 0. What is k?
-9, -1, 5
Factor z**5/2 + 19*z**4/2 + 40*z**3 - 50*z**2.
z**2*(z - 1)*(z + 10)**2/2
Factor -b**4/4 - 63*b**3/2 - 3573*b**2/4 + 6237*b - 9801.
-(b - 3)**2*(b + 66)**2/4
Suppose 86*w**4/7 - 1024*w**3/7 + 576*w**2 - 5120*w/7 - 512/7 = 0. Calculate w.
-4/43, 4
Find p, given that 3*p**5 - 27*p**4 + 63*p**3 + 3*p**2 - 90*p = 0.
-1, 0, 2, 3, 5
Find x, given that -2*x**2/15 + 16*x/3 - 26/5 = 0.
1, 39
Let -3*r**3 + 8*r**2 - 13*r/3 + 2/3 = 0. Calculate r.
1/3, 2
Find j such that -2450*j**5/9 - 7280*j**4/9 - 5618*j**3/9 - 1852*j**2/9 - 280*j/9 - 16/9 = 0.
-2, -2/7, -1/5
Factor -10*l**2/3 - 668*l - 800/3.
-2*(l + 200)*(5*l + 2)/3
Factor 33*l**3 + 96*l**2 + 93*l + 30.
3*(l + 1)**2*(11*l + 10)
Solve -2*c**2/3 + 844*c + 2534/3 = 0.
-1, 1267
Suppose -b**4 + 7*b**3 + 3*b**2 - 23*b + 14 = 0. Calculate b.
-2, 1, 7
Suppose -2*r**3/3 - 778*r**2/3 - 776*r/3 = 0. Calculate r.
-388, -1, 0
Let 3*h**4/5 + 9*h**3/5 + 3*h**2/5 - 9*h/5 - 6/5 = 0. Calculate h.
-2, -1, 1
Find p such that -4*p**4/5 + 6*p**3 - 4*p**2/5 - 66*p/5 - 28/5 = 0.
-1, -1/2, 2, 7
Factor 2*a**2/5 - 124*a/5 + 122/5.
2*(a - 61)*(a - 1)/5
Let 5*b**2 + 45*b + 90 = 0. Calculate b.
-6, -3
Factor -14*y**4/11 + 26*y**3/11 + 4*y**2/11.
-2*y**2*(y - 2)*(7*y + 1)/11
Suppose -a**2 - 140*a - 4900 = 0. What is a?
-70
Solve -49*v**3 - 546*v**2 + 495*v - 108 = 0 for v.
-12, 3/7
Let -p**4 + 26*p**3 + p**2 - 26*p = 0. Calculate p.
-1, 0, 1, 26
Factor 2*w**2/3 + 4962*w + 14884/3.
2*(w + 1)*(w + 7442)/3
Factor -10*v**3 - 23*v**2 - 6*v.
-v*(v + 2)*(10*v + 3)
Factor -4*j**3 + 296*j**2 - 5476*j.
-4*j*(j - 37)**2
Determine w, given that -2*w**4 - 124*w**3 - 354*w**2 = 0.
-59, -3, 0
Factor 2*y**4/13 + 12*y**3/13 + 2*y**2 + 24*y/13 + 8/13.
2*(y + 1)**2*(y + 2)**2/13
Factor -4*o**4.
-4*o**4
Solve -5*z**4 - 235*z**3 + 2120*z**2 - 4400*z = 0.
-55, 0, 4
Determine a, given that -a**2/3 + 181*a/6 + 46 = 0.
-3/2, 92
Determine g, given that 50*g**4/13 + 1420*g**3/13 + 1842*g**2/13 - 1368*g/13 - 1944/13 = 0.
-27, -6/5, 1
Factor o**2/2 - 25*o/2 + 23.
(o - 23)*(o - 2)/2
Suppose 2*m**3 - 64*m**2 + 258*m + 1404 = 0. Calculate m.
-3, 9, 26
Let -18*k**4 + 36*k**3 - 22*k**2 + 4*k = 0. Calculate k.
0, 1/3, 2/3, 1
Determine o so that o**2/3 + 25*o/3 - 28 = 0.
-28, 3
Factor -4*h**2 - 48*h - 80.
-4*(h + 2)*(h + 10)
Factor t**3/2 + 2*t**2/3 - 13*t/6 + 1.
(t - 1)*(t + 3)*(3*t - 2)/6
Find w such that -w**4/2 - 410*w**3 - 168099*w**2/2 + 410*w + 84050 = 0.
-410, -1, 1
Determine r so that -7*r**3 - 58*r**2 - 128*r - 32 = 0.
-4, -2/7
Factor -3*m**4/4 + 915*m**3/2 - 92718*m**2 + 6179976*m + 12734496.
-3*(m - 204)**3*(m + 2)/4
Suppose -9*l**4 + 3*l**3 + 27*l**2 + 9*l - 6 = 0. What is l?
-1, 1/3, 2
Let -4*m**4 + 132*m**3 + 48*m**2 - 1648*m + 2112 = 0. Calculate m.
-4, 2, 33
Solve -2*h**4 + 22*h**3 - 93*h**2/2 - 64*h - 35/2 = 0.
-1/2, 5, 7
Factor 3*y**2 - 6*y.
3*y*(y - 2)
Factor 2*u**3/17 - 4*u**2/17 + 2*u/17.
2*u*(u - 1)**2/17
Suppose 2*q**5/7 + 92*q**4/7 + 78*q**3/7 - 540*q**2/7 = 0. Calculate q.
-45, -3, 0, 2
Suppose 2*m**2/3 - 1010*m/3 - 1012/3 = 0. Calculate m.
-1, 506
Factor -w**3 - 19*w**2 - 31*w + 51.
-(w - 1)*(w + 3)*(w + 17)
Find s such that -3*s**2/5 - 75*s - 1452/5 = 0.
-121, -4
Factor 8*l**3 - 130*l**2 - 104*l + 34.
2*(l - 17)*(l + 1)*(4*l - 1)
Determine w, given that 4*w**5/5 + 28*w**4/5 + 4*w**3 - 28*w**2/5 - 24*w/5 = 0.
-6, -1, 0, 1
Determine s, given that -220*s**4 + 1808*s**3 + 3632*s**2 - 1728*s = 0.
-2, 0, 2/5, 108/11
Let 3*h**5 + 3*h**4 - 78*h**3 + 72*h**2 = 0. Calculate h.
-6, 0, 1, 4
Solve -6*b**4/7 + 2*b**3/7 + 220*b**2/7 - 72*b/7 - 144/7 = 0 for b.
-6, -2/3, 1, 6
Factor 2*d**2/5 - 302*d/5 - 3564/5.
2*(d - 162)*(d + 11)/5
Factor 54*n**2/11 - 116*n/11 + 16/11.
2*(n - 2)*(27*n - 4)/11
Factor y**4/4 + 149*y**3/4 + 7497*y**2/4 + 132055*y/4 + 117649/2.
(y + 2)*(y + 49)**3/4
Factor -7*f**2 + 11*f - 4.
-(f - 1)*(7*f - 4)
Factor q**2/2 - 112*q + 654.
(q - 218)*(q - 6)/2
What is p in -20*p**3 - 12*p**2 + 248*p - 96 = 0?
-4, 2/5, 3
Find i such that 14*i**2/9 + 404*i/9 - 58/9 = 0.
-29, 1/7
Solve -6*o**2/5 + 3744*o/5 - 3738/5 = 0.
1, 623
Factor n**3/5 - 7*n**2/5 - 4*n/5 + 28/5.
(n - 7)*(n - 2)*(n + 2)/5
Factor -q**2/2 - 2*q.
-q*(q + 4)/2
Factor -4*v**3 + 8*v**2 - 4*v.
-4*v*(v - 1)**2
Suppose 4*m**3 + 44*m**2 - 104*m = 0. What is m?
-13, 0, 2
Factor -4050*n**3 + 12510*n**2 - 1088*n + 24.
-2*(n - 3)*(45*n - 2)**2
Factor -5*d**3 - 50*d**2 - 40*d + 320.
-5*(d - 2)*(d + 4)*(d + 8)
Factor 3*m**4 - 114*m**3 + 1512*m**2 - 8526*m + 17493.
3*(m - 17)*(m - 7)**3
Find p, given that 48*p**5 - 600*p**4 + 1371*p**3 + 3153*p**2 + 1281*p + 147 = 0.
-1, -1/4, 7
Factor 2*j**4 - 4*j**3 - 22*j**2 + 24*j + 72.
2*(j - 3)**2*(j + 2)**2
Suppose -2*g**4/7 + 6*g**3/7 - 2*g**2/7 - 6*g/7 + 4/7 = 0. What is g?
-1, 1, 2
Find s such that 6*s**5 - 8*s**4 - 46*s**3/3 + 36*s**2 - 24*s + 16/3 = 0.
-2, 2/3, 1
What is c in 5*c**2 - 2995*c + 5970 = 0?
2, 597
Find w such that -w**5/3 + 13*w**4/3 - 56*w**3/3 + 80*w**2/3 = 0.
0, 4, 5
Factor 2*z**4 - 236*z**3 + 224*z**2 + 1164*z + 702.
2*(z - 117)*(z - 3)*(z + 1)**2
Factor 5*v**3 + 5635*v**2 - 11290*v.
5*v*(v - 2)*(v + 1129)
Factor 4*o**4 - 388*o**3 + 6764*o**2 - 12380*o + 6000.
4*(o - 75)*(o - 20)*(o - 1)**2
Factor -z**3/3 - 83*z**2/3 + 368*z - 1140.
-(z - 6)**2*(z + 95)/3
Determine o, given that -2*o**2 + 288*o - 10368 = 0.
72
Find s, given that -3*s**3 - 33*s**2 - 78*s - 48 = 0.
-8, -2, -1
Solve -4*r**3 - 146*r**2 + 74*r = 0.
-37, 0, 1/2
What is z in -4*z**4/5 + 548*z**3/5 - 18468*z**2/5 - 22356*z/5 + 114264/5 = 0?
-3, 2, 69
Solve 2*x**2 + 488*x - 984 = 0.
-246, 2
Let 2*v**5 - 14*v**4 - 20*v**3 + 32*v**2 = 0. Calculate v.
-2, 0, 1, 8
Let x**2 - 22*x = 0. What is x?
0, 22
Suppose -5*t**5 - 97*t**4 - 513*t**3 - 575*t**2 - 154*t = 0. What is t?
-11, -7, -1, -2/5, 0
Factor 4*a**5 + 40*a**4 + 148*a**3 + 240*a**2 + 144*a.
4*a*(a + 2)**2*(a + 3)**2
Let 5*m**3 + 70*m**2 + 195*m - 270 = 0. What is m?
-9, -6, 1
What is p in 4*p**5/3 - p**4/3 - 20*p**3/3 + 5*p**2/3 + 16*p/3 - 4/3 = 0?
-2, -1, 1/4, 1, 2
Factor -3*a**3 - 294*a**2 + 909*a.
-3*a*(a - 3)*(a + 101)
Find f, given that f**2/2 - 298*f + 44402 = 0.
298
Suppose 2*l**2/5 + 11216*l/5 + 15724832/5 = 0. Calculate l.
-2804
Factor 9*r**3/4 - 339*r**2/4 + 273*r/2 - 54.
3*(r - 36)*(r - 1)*(3*r - 2)/4
Factor d**4 - 15*d**3/4 + 4*d**2 - 3*d/4 - 1/2.
(d - 2)*(d - 1)**2*(4*d + 1)/4
Solve -2*v**4/3 - 4*v**3/3 + 24*v**2 + 48*v = 0 for v.
-6, -2, 0, 6
Find z such that -4*z**2/3 - 952*z - 169932 = 0.
-357
Determine x so that -10*x**3 - 42*x**2 + 4*x + 48 = 0.
-4, -6/5, 1
Factor -5*d**3 + 15*d**2 - 10*d.
-5*d*(d - 2)*(d - 1)
Let 2*r**4 - 28*r**3 - 312*r**2 - 848*r - 704 = 0. What is r?
-4, -2, 22
Factor 2*u**5/11 - 16*u**4/11 + 30*u**3/11.
2*u**3*(u - 5)*(u - 3)/11
What is t in 2*t**3/17 - 1192*t**2/17 + 178794*t/17 - 352836/17 = 0?
2, 297
Factor 4*d**4 + 84*d**3 + 656*d**2 + 2256*d + 2880.
4*(d + 4)*(d + 5)*(d + 6)**2
Factor 4*f**5 - 172*f**4 + 2880*f**3 - 23200*f**2 + 88000*f - 120000.
4*(f - 10)**4*(f - 3)
Factor -5*q**4 - 224*q**3 - 884*q**2/5 - 176*q/5.
-q*(q + 44)*(5*q + 2)**2/5
Let 16*l**5 + 212*l**4 + 43*l**3 - 457*l**2/4 + 71*l/2 - 13/4 = 0. What is l?
-13, -1, 1/4
Determine a, given that -7*a**5/3 + 5*a**4/3 + 3*a**3 - 5*a**2/3 - 2*a/3 = 0.
-1, -2/7, 0, 1
Let -2*m**3 + 304*m**2 - 11552*m = 0. What is m?
0, 76
Factor j**4/7 + 11*j**3/7 + 39*j**2/7 + 7*j + 20/7.
(j + 1)**2*(j + 4)*(j + 5)/7
Factor f**4/5 - 8*f**3/5 + 19*f**2/5 - 12*f/5.
f*(f - 4)*(