1)/7
Factor u**4/2 + 29*u**3/2 + 127*u**2/2 + 171*u/2 + 36.
(u + 1)**2*(u + 3)*(u + 24)/2
Factor -m**2 - 20*m + 21.
-(m - 1)*(m + 21)
Solve -3*b**4 - 42*b**3 - 108*b**2 - 102*b - 33 = 0.
-11, -1
Determine q so that 5*q**2 - 585*q + 580 = 0.
1, 116
Factor 3*l**2/8 + 75*l/8.
3*l*(l + 25)/8
Factor -21*x**3/2 + 141*x**2/2 - 84*x - 30.
-3*(x - 5)*(x - 2)*(7*x + 2)/2
Factor -3*f**2 + 14352*f - 17164992.
-3*(f - 2392)**2
Factor -5*a**2 - 590*a + 3075.
-5*(a - 5)*(a + 123)
Find g such that 5*g**3 + 65*g**2 + 280*g + 400 = 0.
-5, -4
Find q such that 5*q**5/2 + 16*q**4 + 7*q**3/2 - 16*q**2 - 6*q = 0.
-6, -1, -2/5, 0, 1
Find c such that -12*c**3/7 - 621*c**2/7 + 156*c/7 = 0.
-52, 0, 1/4
What is a in 2*a**5/7 + 118*a**4/7 - 6*a**3/7 - 358*a**2/7 - 236*a/7 = 0?
-59, -1, 0, 2
Determine v, given that 2*v**3/15 + 14*v**2/15 - 68*v/15 - 16/3 = 0.
-10, -1, 4
Find v such that -10*v**4 - 141*v**3 - 266*v**2 - 171*v - 36 = 0.
-12, -1, -3/5, -1/2
Factor 3*a**5 + 3*a**4 - 12*a**3 - 12*a**2.
3*a**2*(a - 2)*(a + 1)*(a + 2)
Find v such that -5*v**4 - 90*v**3 - 240*v**2 - 230*v - 75 = 0.
-15, -1
Let -10*m**3/7 - 174*m**2/7 - 228*m/7 - 64/7 = 0. Calculate m.
-16, -1, -2/5
Factor -6*x**3 - 124*x**2 - 626*x - 364.
-2*(x + 7)*(x + 13)*(3*x + 2)
Factor 3*z**2 + 1350*z + 151875.
3*(z + 225)**2
Factor -2*i**3 - 12*i**2 + 14*i.
-2*i*(i - 1)*(i + 7)
Suppose 4*t**2 + 22112*t + 30558784 = 0. Calculate t.
-2764
Factor -2*v**3/11 - 8*v**2/11 + 32*v/11 + 128/11.
-2*(v - 4)*(v + 4)**2/11
Factor t**3/2 - 23*t**2/2 - 25*t.
t*(t - 25)*(t + 2)/2
Suppose 3*s**4 + 303*s**3 + 7491*s**2 - 8415*s - 15606 = 0. Calculate s.
-51, -1, 2
Find l such that -2*l**3/15 + 68*l**2/15 + 2*l/15 - 68/15 = 0.
-1, 1, 34
Factor 2*s**2/5 + 182*s + 2712/5.
2*(s + 3)*(s + 452)/5
Determine r so that r**3/4 + 29*r**2/4 + 31*r + 24 = 0.
-24, -4, -1
Solve -x**3/2 - 15*x**2/2 + x/2 + 15/2 = 0.
-15, -1, 1
What is t in 2*t**5/21 - 8*t**4/21 + 8*t**3/21 + 4*t**2/21 - 10*t/21 + 4/21 = 0?
-1, 1, 2
Factor -3*s**3/7 + 408*s**2/7 + 2529*s/7 + 3834/7.
-3*(s - 142)*(s + 3)**2/7
Factor -15*t**3 - 36*t**2 - 3*t + 18.
-3*(t + 1)*(t + 2)*(5*t - 3)
Factor -4*l**4 + 3*l**3 + 5*l**2 - 3*l - 1.
-(l - 1)**2*(l + 1)*(4*l + 1)
Factor -2*u**2/13 + 48*u/13 + 50/13.
-2*(u - 25)*(u + 1)/13
Solve -4*b**3 + 784*b**2 - 2324*b + 1544 = 0.
1, 2, 193
Factor -2*h**2 - 1346*h - 1344.
-2*(h + 1)*(h + 672)
What is z in z**2/7 - 61*z/7 + 228/7 = 0?
4, 57
What is b in b**4/3 + 7*b**3/3 = 0?
-7, 0
Factor -2*w**4/15 - 296*w**3/15 - 98*w**2/5.
-2*w**2*(w + 1)*(w + 147)/15
Let 2*b**2/3 + 6800*b/3 + 5780000/3 = 0. What is b?
-1700
Solve 9*n**5/4 + 3*n**4/4 - 27*n**3/2 + 27*n**2/2 - 3*n/4 - 9/4 = 0.
-3, -1/3, 1
Solve -l**2/4 + l/4 + 1/2 = 0 for l.
-1, 2
Factor 3*r**2 + 69*r + 126.
3*(r + 2)*(r + 21)
Suppose -2*m**2 - 2076*m - 538722 = 0. Calculate m.
-519
Let 3*x**5 - 18*x**4 + 12*x**3 + 18*x**2 - 15*x = 0. Calculate x.
-1, 0, 1, 5
Factor g**2/3 - 2*g + 8/3.
(g - 4)*(g - 2)/3
Factor -p**3 + 62*p**2 + 127*p + 64.
-(p - 64)*(p + 1)**2
Let 5*w**2 - 250*w + 1845 = 0. Calculate w.
9, 41
Find s, given that -50*s**4 + 1590*s**3 - 14188*s**2 + 16704*s + 103680 = 0.
-2, 5, 72/5
Determine w, given that 2*w**4/5 - 24*w**3/5 + 864*w/5 - 2592/5 = 0.
-6, 6
Find n such that -4*n**4 - 60*n**3 + 64*n**2 = 0.
-16, 0, 1
Determine f, given that 2*f**4 + 276*f**3/7 + 1558*f**2/7 + 1800*f/7 - 648/7 = 0.
-9, -2, 2/7
Find q such that 2*q**2 - 624*q + 48672 = 0.
156
Factor -2*f**4 + 78*f**3 + 82*f**2 - 78*f - 80.
-2*(f - 40)*(f - 1)*(f + 1)**2
Suppose 4*q**3 - 32*q**2 + 64*q = 0. Calculate q.
0, 4
Let t**3/8 + 3*t**2/2 + 5*t/8 - 33/4 = 0. Calculate t.
-11, -3, 2
Determine m, given that -m**3/3 - 16*m**2/3 + 16*m + 384 = 0.
-12, 8
What is w in 3*w**5/7 - 75*w**3/7 + 180*w**2/7 - 108*w/7 = 0?
-6, 0, 1, 2, 3
Let -3*o**3 + 933*o**2 - 73005*o + 72075 = 0. What is o?
1, 155
Determine i, given that 2*i**2 - 24*i + 70 = 0.
5, 7
Factor -2*d**4 - 68*d**3/9 - 56*d**2/9 + 16*d/9.
-2*d*(d + 2)**2*(9*d - 2)/9
Factor -5*l**2 + 180*l - 1620.
-5*(l - 18)**2
Factor -o**2 - 31*o - 30.
-(o + 1)*(o + 30)
Factor 2*p**2/19 + 46*p/19 + 180/19.
2*(p + 5)*(p + 18)/19
Solve -98*l**2 - 252*l - 162 = 0 for l.
-9/7
Factor 5*m**2 + 2280*m + 259920.
5*(m + 228)**2
What is v in 135*v**5 + 690*v**4 + 1135*v**3 + 560*v**2 - 100*v - 80 = 0?
-2, -1, -4/9, 1/3
Factor 2*m**3/5 + 24*m**2/5 - 626*m/5 - 552.
2*(m - 15)*(m + 4)*(m + 23)/5
Let -16*g**2 - 268*g + 68 = 0. Calculate g.
-17, 1/4
Factor 3*a**2 + 756*a + 4428.
3*(a + 6)*(a + 246)
Suppose -y**4/4 - 17*y**3/2 + 87*y**2/4 + 135*y = 0. What is y?
-36, -3, 0, 5
Solve -k**2/6 - 89*k/6 + 280 = 0.
-105, 16
Factor 5*k**5 - 15*k**3 + 10*k**2.
5*k**2*(k - 1)**2*(k + 2)
Solve 4*m**5 + 4*m**4 - 20*m**3 + 12*m**2 = 0.
-3, 0, 1
Determine o, given that o**2 + 17*o + 52 = 0.
-13, -4
Factor -c**2/3 - 10*c/3 + 8.
-(c - 2)*(c + 12)/3
Factor 5*y**5 + 50*y**4 + 80*y**3 - 10*y**2 - 85*y - 40.
5*(y - 1)*(y + 1)**3*(y + 8)
Factor -v**2/2 - 653*v/2.
-v*(v + 653)/2
Let -c**4/10 - 14*c**3/5 - 24*c**2 - 40*c + 200 = 0. What is c?
-10, 2
What is u in 15*u**3/2 - 126*u**2 + 939*u/2 + 99 = 0?
-1/5, 6, 11
Find c, given that 5*c**4/4 + 25*c**3 - 5*c**2 - 100*c = 0.
-20, -2, 0, 2
Factor 4*i**4 - 16*i**3 - 48*i**2.
4*i**2*(i - 6)*(i + 2)
Factor 3*y**3 - 3*y**2 - 6*y.
3*y*(y - 2)*(y + 1)
Let 2*y**3 - 38*y**2/5 + 44*y/5 - 16/5 = 0. What is y?
4/5, 1, 2
Find f, given that -2*f**4/9 + 44*f**3/9 - 182*f**2/9 + 68*f/3 = 0.
0, 2, 3, 17
What is o in 6*o**4 - 172*o**3 - 58*o**2 = 0?
-1/3, 0, 29
Factor -t**5 + 3*t**4 - t**3 - 3*t**2 + 2*t.
-t*(t - 2)*(t - 1)**2*(t + 1)
Let 6*q**5 - 28*q**4 + 46*q**3 - 32*q**2 + 8*q = 0. What is q?
0, 2/3, 1, 2
Factor -8*t**3 - 108*t**2 - 105*t/2 - 13/2.
-(t + 13)*(4*t + 1)**2/2
What is f in 10*f**4 - 35*f**3 - 135*f**2 - 90*f = 0?
-3/2, -1, 0, 6
Determine d, given that 3*d**5/2 - 78*d**4 + 1377*d**3 - 8670*d**2 + 14739*d/2 = 0.
0, 1, 17
Factor -4*q**2 - 20*q + 24.
-4*(q - 1)*(q + 6)
Factor -2*b**5/3 + 16*b**4/3 - 16*b**3 + 64*b**2/3 - 32*b/3.
-2*b*(b - 2)**4/3
Factor z**2/2 - 173*z/2 - 354.
(z - 177)*(z + 4)/2
Factor -3*w**4/8 - 3*w**3 - 6*w**2.
-3*w**2*(w + 4)**2/8
Factor -3*t**3/2 - 24*t**2 + 273*t/2 + 2535.
-3*(t - 10)*(t + 13)**2/2
Find p such that p**4/3 + 26*p**3/3 + 37*p**2 + 42*p = 0.
-21, -3, -2, 0
Determine u, given that 5*u**3 - 155*u**2 = 0.
0, 31
Factor -2*o**3 - 154*o**2 + 642*o - 486.
-2*(o - 3)*(o - 1)*(o + 81)
Suppose 2*y**3/11 - 18*y**2/11 - 18*y/11 + 162/11 = 0. Calculate y.
-3, 3, 9
What is d in 2*d**5 + 18*d**4 + 6*d**3 - 146*d**2 + 192*d - 72 = 0?
-6, 1
Factor n**4 - 6*n**3 - 3*n**2 + 16*n + 12.
(n - 6)*(n - 2)*(n + 1)**2
Determine x so that -x**2/4 + 9*x - 35/4 = 0.
1, 35
Factor 33*v**3 + 390*v**2 - 996*v + 168.
3*(v - 2)*(v + 14)*(11*v - 2)
Factor 8*n**3 - 260*n**2 - 132*n.
4*n*(n - 33)*(2*n + 1)
Let -l**5 + 41*l**4/3 - 125*l**3/3 + 53*l**2 - 92*l/3 + 20/3 = 0. Calculate l.
2/3, 1, 10
Find a such that 2*a**4/5 - 76*a**3/5 - 86*a**2/5 + 304*a/5 + 312/5 = 0.
-2, -1, 2, 39
Solve -2*j**3/17 - 46*j**2/17 + 8*j/17 + 184/17 = 0.
-23, -2, 2
Factor 75*w**3 + 385*w**2 + 45*w - 25.
5*(w + 5)*(3*w + 1)*(5*w - 1)
Factor -3*o**3 + 810*o**2 + 12*o - 3240.
-3*(o - 270)*(o - 2)*(o + 2)
Factor -2*s**2/15 + 56*s/15 - 98/5.
-2*(s - 21)*(s - 7)/15
Factor 3*o**4/7 - 15*o**3/7 + 12*o**2/7.
3*o**2*(o - 4)*(o - 1)/7
Find k, given that -3*k**2 - 906*k - 68403 = 0.
-151
Factor u**5/3 - 3*u**4 + 10*u**3 - 44*u**2/3 + 8*u.
u*(u - 3)*(u - 2)**3/3
Let 60*g**4/7 - 286*g**3/7 + 192*g**2/7 - 32*g/7 = 0. Calculate g.
0, 4/15, 1/2, 4
Factor -2*f**3/5 + 2*f**2/5 + 4*f/5.
-2*f*(f - 2)*(f + 1)/5
Factor -4*f**3/3 - 59*f**2/3 - 41*f/3 + 14/3.
-(f + 1)*(f + 14)*(4*f - 1)/3
Suppose -55*x**4/7 - 8*x**3 + 109*x**2/7 + 2*x/7 = 0. What is x?
-2, -1/55, 0, 1
Find t such that 66*t**3/7 - 4362*t**2/7 + 4686*t/7 - 390/7 = 0.
1/11, 1, 65
Factor j**3 + 4*j**2 - 5*j.
j*(j - 1)*(j + 5)
Factor -3*o**5 + 114*o**4 + 117*o**3.
-3*o**3*(o - 39)*(o + 1)
Determine w so that -14*w**5/9 - 80*w**4/9 + 22*w**3/3 + 268*w**2/9 + 88*w/9 - 16/3 = 0.
-6, -1, 2/7, 2
Find z, given that -z**4/4 - 5*z**3/2 - 15*z**2/4 + 25*z/2 + 14 = 0.
-7, -4, -1, 2
Factor 2*l**5 + 16*l**4 + 36*l**3 + 32*l**2 + 10*l.
2*l*(l + 1)**3*(l + 5)
Suppose -5*f**2 - 5450*f - 1485125 = 0. Calculate f.
-545
What is h in -h**3 + 22*h**2 - 41*h + 20 = 