- 2)*(c + 1)*(c + 15)
Let -2*s**2/3 + 1012*s/3 + 338 = 0. What is s?
-1, 507
Let 3*s**3/5 - 189*s**2/5 + 693*s/5 + 177 = 0. What is s?
-1, 5, 59
Suppose -45*g**4 + 215*g**3 + 50*g**2 = 0. What is g?
-2/9, 0, 5
Determine h, given that -4*h**3 - 12*h**2 + 72*h = 0.
-6, 0, 3
Solve -3*l**3/2 - 27*l**2 - 195*l/2 = 0.
-13, -5, 0
Factor -33620*l**5 + 100040*l**4 - 98405*l**3 + 31175*l**2 + 805*l + 5.
-5*(l - 1)**3*(82*l + 1)**2
Let -s**3/6 + 13*s**2/3 + 32*s/3 - 112/3 = 0. Calculate s.
-4, 2, 28
Suppose -2*j**4 - 24*j**3 + 6*j**2 + 76*j + 48 = 0. What is j?
-12, -1, 2
Factor 14*i**2 + 4*i.
2*i*(7*i + 2)
Let 3472875*l**3 - 198450*l**2 + 3780*l - 24 = 0. Calculate l.
2/105
Factor -h**2/6 + 29*h/6 - 14/3.
-(h - 28)*(h - 1)/6
Find z, given that 4*z**4 + 48*z**3 + 192*z**2 + 256*z = 0.
-4, 0
Let 5*g**2 - 1050*g + 55125 = 0. What is g?
105
Factor -5*u**5 - 3*u**4 + 17*u**3 + 19*u**2 - 4.
-(u - 2)*(u + 1)**3*(5*u - 2)
Let -z**3/4 - 3*z**2 - 9*z/4 + 11/2 = 0. Calculate z.
-11, -2, 1
Determine z so that -2*z**3/3 - 50*z**2/3 + 584*z/3 - 952/3 = 0.
-34, 2, 7
Factor -18*j**2 - 58*j - 12.
-2*(j + 3)*(9*j + 2)
Suppose -2*k**5 + 8*k**4 + 72*k**3 - 244*k**2 + 250*k - 84 = 0. What is k?
-6, 1, 7
Factor 2*y**3/21 + 16*y**2/21 + 2*y + 12/7.
2*(y + 2)*(y + 3)**2/21
Determine k so that -3*k**3/7 + 810*k**2/7 - 55476*k/7 + 107736/7 = 0.
2, 134
Factor 3*d**5 - 18*d**4 + 27*d**3 + 12*d**2 - 36*d.
3*d*(d - 3)*(d - 2)**2*(d + 1)
Factor -130*p**2/7 + 18*p + 4/7.
-2*(p - 1)*(65*p + 2)/7
Let 4*y**5/7 - 3*y**4/7 - 25*y**3/7 + 10*y**2/7 + 36*y/7 + 8/7 = 0. What is y?
-2, -1, -1/4, 2
Determine t so that t**2/2 - 255*t/2 = 0.
0, 255
Determine h, given that -7*h**5/4 - 5*h**4/2 + 15*h**3 + 45*h**2/2 + 27*h/4 = 0.
-3, -1, -3/7, 0, 3
Find k, given that 4*k**2/3 + 676*k/3 - 456 = 0.
-171, 2
What is d in -2*d**5/11 + 372*d**4/11 - 1636*d**3 + 62256*d**2/11 + 179998*d/11 + 99372/11 = 0?
-1, 6, 91
Factor n**2 - 51*n + 98.
(n - 49)*(n - 2)
Factor -28*l**3 + 180*l**2 - 324*l + 108.
-4*(l - 3)**2*(7*l - 3)
Factor -l**5/6 - 23*l**4/6 + 4*l**3.
-l**3*(l - 1)*(l + 24)/6
Determine l so that 30*l**5/11 - 124*l**4/11 + 196*l**3/11 - 144*l**2/11 + 46*l/11 - 4/11 = 0.
2/15, 1
Factor 75*t**4 + 135*t**3 - 213*t**2 - 567*t - 294.
3*(t - 2)*(t + 1)*(5*t + 7)**2
Factor -b**5/4 - 9*b**4/4 - 13*b**3/2 - 17*b**2/2 - 21*b/4 - 5/4.
-(b + 1)**4*(b + 5)/4
Factor 2*j**3/9 + 10*j**2/9.
2*j**2*(j + 5)/9
Factor -q**2/2 + 17*q/2 - 21.
-(q - 14)*(q - 3)/2
Find x such that -x**3 + 2*x**2 + 15*x = 0.
-3, 0, 5
Factor m**3/4 + 26*m**2 + 861*m + 8820.
(m + 20)*(m + 42)**2/4
Solve 2*l**3 + 138*l**2 - 1200*l - 155000 = 0 for l.
-50, 31
Factor 2*s**4/13 - 44*s**3/13 + 192*s**2/13 + 576*s/13.
2*s*(s - 12)**2*(s + 2)/13
Suppose -3*k**2/2 - 217*k + 145/2 = 0. What is k?
-145, 1/3
Determine g, given that g**2/3 + 29*g/3 - 32 = 0.
-32, 3
Suppose -5*p**5 - 110*p**4 - 705*p**3 - 1100*p**2 - 500*p = 0. Calculate p.
-10, -1, 0
Factor 3*p**3/2 + 207*p**2/2 + 2997*p/2 - 20535/2.
3*(p - 5)*(p + 37)**2/2
Factor d**3 + 55*d**2 - 174*d.
d*(d - 3)*(d + 58)
Find l, given that 2*l**4/5 - 12*l**3/5 - 16*l**2/5 + 192*l/5 - 256/5 = 0.
-4, 2, 4
Factor 9*t**2/10 - 4*t/5 - 2.
(t - 2)*(9*t + 10)/10
What is m in 3*m**2 - 2153*m/3 + 478/3 = 0?
2/9, 239
Factor -4*q**3 + 396*q**2 + 400*q.
-4*q*(q - 100)*(q + 1)
Factor -5*p**5 + 395*p**4 - 10130*p**3 + 76950*p**2 + 185895*p + 98415.
-5*(p - 27)**3*(p + 1)**2
Factor -2*p**5 - 14*p**4 - 36*p**3 - 44*p**2 - 26*p - 6.
-2*(p + 1)**4*(p + 3)
Factor c**4/2 - 5*c**3 + 16*c**2 - 16*c.
c*(c - 4)**2*(c - 2)/2
Find n, given that -2*n**3/5 + 168*n**2/5 + 34*n = 0.
-1, 0, 85
Factor 3*i**3 + 209*i**2 + 342*i + 136.
(i + 1)*(i + 68)*(3*i + 2)
Factor -25*i**4 + 35*i**3 - 10*i**2.
-5*i**2*(i - 1)*(5*i - 2)
Factor 2*n**5 - 122*n**4 - 130*n**3 + 362*n**2 + 616*n + 248.
2*(n - 62)*(n - 2)*(n + 1)**3
Suppose -w**5 + w**4/3 + 4*w**3 - 4*w**2/3 = 0. What is w?
-2, 0, 1/3, 2
Suppose -4*c**3 - 1428*c**2 - 169932*c - 6740636 = 0. What is c?
-119
Factor -4*m**5 + 12*m**4 + 180*m**3 - 108*m**2 - 2592*m - 3888.
-4*(m - 6)**2*(m + 3)**3
Factor 4*z**2 - 112*z + 208.
4*(z - 26)*(z - 2)
Suppose 2*b**2 + 4016*b + 2016032 = 0. Calculate b.
-1004
Suppose 3*i**2/4 + 1137*i/4 = 0. What is i?
-379, 0
Let -3*b**4 - 21*b**3 + 9*b**2 + 165*b - 150 = 0. What is b?
-5, 1, 2
Suppose 33*a**3/7 + 15*a**2 - 114*a/7 - 24/7 = 0. What is a?
-4, -2/11, 1
Factor -o**3/3 - 8*o**2 - 28*o - 80/3.
-(o + 2)**2*(o + 20)/3
Let -2*j**5/5 + 22*j**4/5 + 24*j**3/5 = 0. What is j?
-1, 0, 12
Factor 3*u**3 - 528*u**2 - 3*u + 528.
3*(u - 176)*(u - 1)*(u + 1)
Factor -q**3/2 + 26*q**2 - 269*q/2 - 161.
-(q - 46)*(q - 7)*(q + 1)/2
Factor f**3/4 - 205*f**2/4 - 413*f/4 - 207/4.
(f - 207)*(f + 1)**2/4
Factor -u**3 - 8*u**2.
-u**2*(u + 8)
Factor s**4/9 + 2*s**3/9 + s**2/9.
s**2*(s + 1)**2/9
Let -15*o**4 - 21*o**3 - 6*o**2 = 0. What is o?
-1, -2/5, 0
Factor -t**3/2 + 4*t**2 + 19*t/2 + 5.
-(t - 10)*(t + 1)**2/2
Factor f**4/3 - 6*f**3 - 20*f**2/3 + 6*f + 19/3.
(f - 19)*(f - 1)*(f + 1)**2/3
Solve -2*j**5/3 - 8*j**4/3 + 74*j**3/3 - 136*j**2/3 + 24*j = 0 for j.
-9, 0, 1, 2
Factor -4*i**4 - 264*i**3 - 764*i**2 - 504*i.
-4*i*(i + 1)*(i + 2)*(i + 63)
Factor 4*j**2 + 136*j + 1156.
4*(j + 17)**2
Solve d**4/4 + 257*d**3/4 + 4029*d**2 - 12935*d - 16900 = 0 for d.
-130, -1, 4
Suppose -10*d**4/7 - 614*d**3/7 - 7834*d**2/7 + 51414*d/7 + 21780/7 = 0. Calculate d.
-33, -2/5, 5
What is s in -3*s**4/4 - 33*s**3/4 + 18*s**2 + 108*s = 0?
-12, -3, 0, 4
Let 2*w**2/5 - 68*w/5 = 0. What is w?
0, 34
Solve 63*t**5/2 + 157*t**4/2 + 17*t**3 - 26*t**2 + 4*t = 0 for t.
-2, -1, 0, 2/9, 2/7
Factor -4*n**4 + 40*n**3 - 148*n**2 + 240*n - 144.
-4*(n - 3)**2*(n - 2)**2
Determine j, given that j**5/4 + j**4/2 - 7*j**3/2 + 2*j**2 + 13*j/4 - 5/2 = 0.
-5, -1, 1, 2
Factor -4*x**3 + 128*x**2 - 1024*x.
-4*x*(x - 16)**2
Factor -4*j**3/5 + 2*j**2/5 + 16*j/5 + 2.
-2*(j + 1)**2*(2*j - 5)/5
Factor 5*i**3 + 1460*i**2 + 100500*i - 900000.
5*(i - 8)*(i + 150)**2
Determine n, given that -34*n**2 - 98*n + 12 = 0.
-3, 2/17
Solve -2*f**4/21 - 24*f**3/7 - 68*f**2/7 - 200*f/21 - 22/7 = 0 for f.
-33, -1
Solve 6*d**2/7 - 39*d + 135/7 = 0 for d.
1/2, 45
Find c such that 21*c**2 + 444*c + 63 = 0.
-21, -1/7
Factor 5*f**4 + 30*f**3 + 55*f**2 + 30*f.
5*f*(f + 1)*(f + 2)*(f + 3)
Suppose b**2/3 + 28*b/3 + 32 = 0. Calculate b.
-24, -4
Factor 3*q**5 + 28*q**4 + 90*q**3 + 108*q**2 + 27*q.
q*(q + 3)**3*(3*q + 1)
Factor 2*m**3/17 - 230*m**2/17 + 676*m/17 - 448/17.
2*(m - 112)*(m - 2)*(m - 1)/17
Suppose 3*x**3/5 + 24*x**2/5 + 63*x/5 + 54/5 = 0. Calculate x.
-3, -2
Factor 4*b**2 + 32*b - 80.
4*(b - 2)*(b + 10)
Factor 2*b**3/9 + 224*b**2/9 - 2390*b/9 + 6100/9.
2*(b - 5)**2*(b + 122)/9
Suppose h**3/6 - 2*h**2/3 + h/2 = 0. What is h?
0, 1, 3
Suppose 2*p**5 - 202*p**4 + 5200*p**3 - 5000*p**2 = 0. Calculate p.
0, 1, 50
Factor r**3 + 17*r**2/4 - 4*r - 5/4.
(r - 1)*(r + 5)*(4*r + 1)/4
Find x such that 3*x**4/7 + 66*x**3/7 - 240*x**2/7 - 288*x + 6912/7 = 0.
-24, -6, 4
Solve -p**4/2 - 64*p**3 - 3072*p**2 - 65536*p - 524288 = 0.
-32
Determine i so that -25*i**4/4 - 2245*i**3/4 + 233*i**2/2 + 361*i + 90 = 0.
-90, -2/5, 1
Let 2*h**2/3 - 92*h/3 = 0. What is h?
0, 46
Suppose 4*v**4 + 60*v**3 - 156*v**2 - 316*v + 408 = 0. Calculate v.
-17, -2, 1, 3
Factor -4*b**4 - 8*b**3 - 4*b**2.
-4*b**2*(b + 1)**2
Factor 4*t**3/7 + 96*t**2/7 + 12*t - 184/7.
4*(t - 1)*(t + 2)*(t + 23)/7
Suppose u**3/7 + 55*u**2/7 + 783*u/7 + 729/7 = 0. What is u?
-27, -1
Suppose -2*w**5 - 4*w**4 + 12*w**3 + 8*w**2 - 26*w + 12 = 0. What is w?
-3, -2, 1
Find h such that -4*h**3 - 56*h**2 - 240*h - 288 = 0.
-6, -2
Let -w**2/3 - 9*w - 110/3 = 0. Calculate w.
-22, -5
Solve 3*c**2 - 231*c = 0.
0, 77
Suppose -4*q**2/9 + 1408*q/9 - 123904/9 = 0. What is q?
176
Solve 2*m**4/11 + 30*m**3/11 + 106*m**2/11 - 30*m/11 - 108/11 = 0.
-9, -6, -1, 1
Factor 3*c**2/5.
3*c**2/5
Factor -a**3 - 29*a**2 + 1096*a + 2300.
-(a - 23)*(a + 2)*(a + 50)
Determine n so that 5*n**5 + 110*n**4 + 480*n**3 - 1310*n**2 + 715*n = 0.
-13, -11, 0, 1
Factor 2*b**3/9 - 868*b**2/9 + 1730*b/9 - 96.
2*(b - 432)*(b - 1)**2/9
Factor 12*f**3 - 874*f**2 - 146*f.
2*f*(f - 73)*(6*f + 1)
Determine p so that 5*p**3 + 8*p**2 - 4*p = 0.
-2, 0, 2/5
Factor -5*w**2 + 2970*w - 441045.
-5*(w - 297)**2
Find y, given that -4*y**3/7 + 79*y**2/7 + 404*y/7 +