 q.
-57, -3, -1, 0
Factor -l**2/6 + 47*l/6.
-l*(l - 47)/6
Factor 5*s**3 - 120*s**2 + 315*s.
5*s*(s - 21)*(s - 3)
Solve -g**3/5 + 192*g**2/5 - 3861*g/5 + 4114 = 0.
11, 170
Factor -a**4/10 - 9*a**3/10 - 7*a**2/5.
-a**2*(a + 2)*(a + 7)/10
Suppose 18*y**5 - 573*y**4 + 2316*y**3 + 978*y**2 - 2334*y - 405 = 0. What is y?
-1, -1/6, 1, 5, 27
Factor -k**2/2 - 619*k/2 - 309.
-(k + 1)*(k + 618)/2
Factor -6*a**4 + 70*a**3 - 152*a**2 + 72*a.
-2*a*(a - 9)*(a - 2)*(3*a - 2)
Solve -3*v**3 - 57*v**2 + 198*v = 0.
-22, 0, 3
Factor -2*q**2 - 40*q + 138.
-2*(q - 3)*(q + 23)
Factor l**3/3 + 31*l**2 + 961*l + 29791/3.
(l + 31)**3/3
Factor -2*k**2/7 + 248*k/7 + 250/7.
-2*(k - 125)*(k + 1)/7
Determine i, given that -i**2/2 - 29*i/2 - 27 = 0.
-27, -2
Factor -4*n**2 - 37632*n - 88510464.
-4*(n + 4704)**2
Let -2*t**4/5 + 4*t**3 + 18*t**2 - 28*t - 208/5 = 0. What is t?
-4, -1, 2, 13
Determine m so that -7*m**3/3 + 74*m**2 - 356*m/3 - 40 = 0.
-2/7, 2, 30
Let 4*g**2 + 138*g + 434 = 0. Calculate g.
-31, -7/2
Suppose 6*o**3 + 104*o**2 - 326*o - 120 = 0. What is o?
-20, -1/3, 3
Let -u**3/3 - 650*u**2/3 + 1304*u/3 = 0. What is u?
-652, 0, 2
Solve d**4/8 - 50*d**3 + 4899*d**2 + 20200*d + 20402 = 0 for d.
-2, 202
Find k such that 4*k**2/7 - 11352*k/7 + 8054244/7 = 0.
1419
Solve -3*j**4 + 6*j**3 + 9*j**2 - 24*j + 12 = 0.
-2, 1, 2
Suppose -2*f**5/15 + 4*f**4/5 + 8*f**3/15 - 68*f**2/15 - 34*f/5 - 8/3 = 0. What is f?
-1, 4, 5
Suppose -x**4/4 + 5*x**3/4 + 5*x**2/4 - 45*x/4 + 9 = 0. Calculate x.
-3, 1, 3, 4
Determine q, given that 9*q**5/4 - 39*q**4/2 - 123*q**3/4 + 6*q**2 + 15*q = 0.
-1, 0, 2/3, 10
Factor -15*q**3/4 - 287*q**2/4 + 148*q + 21.
-(q - 2)*(q + 21)*(15*q + 2)/4
Factor 3*x**4 - 801*x**3 - 2421*x**2 - 2427*x - 810.
3*(x - 270)*(x + 1)**3
Factor 5*h**2 - 20*h - 105.
5*(h - 7)*(h + 3)
Factor -3*a**2/8 + 1191*a/8 + 450.
-3*(a - 400)*(a + 3)/8
Factor 6591*s**4/7 + 22308*s**3 + 106002*s**2/7 + 24300*s/7 + 1863/7.
3*(s + 23)*(13*s + 3)**3/7
Suppose -230*z**2 + 284*z - 80 = 0. Calculate z.
10/23, 4/5
Suppose -2*g**3/5 + 634*g**2 - 6334*g/5 + 3166/5 = 0. Calculate g.
1, 1583
Factor 2*m**3/9 + 22*m**2/3 - 2*m/9 - 22/3.
2*(m - 1)*(m + 1)*(m + 33)/9
What is o in -5*o**3 - 60*o**2 - 180*o = 0?
-6, 0
Factor 4*r**3/7 + 16*r**2/7 - 20*r/7.
4*r*(r - 1)*(r + 5)/7
Let -90*y**4 - 646*y**3 - 914*y**2 - 250*y + 108 = 0. What is y?
-27/5, -1, 2/9
Factor -3*n**3 + 6*n**2/5 + 264*n/5.
-3*n*(n + 4)*(5*n - 22)/5
Factor 4*w**4 - 124*w**3 + 1020*w**2 - 900*w.
4*w*(w - 15)**2*(w - 1)
What is m in -2*m**2 - 582*m + 1764 = 0?
-294, 3
Factor l**4/3 - l**3 + l**2 - l/3.
l*(l - 1)**3/3
Suppose 4*f**2/9 + 668*f/9 - 1352/9 = 0. Calculate f.
-169, 2
Factor -o**4/5 + 6*o**3/5 - 11*o**2/5 + 6*o/5.
-o*(o - 3)*(o - 2)*(o - 1)/5
Factor k**3 + 2823*k**2 + 2656443*k + 833237621.
(k + 941)**3
Find m such that -400*m**5/9 + 880*m**4/9 - 188*m**3/3 + 88*m**2/9 - 4*m/9 = 0.
0, 1/10, 1
Let -5*m**5 + 5*m**4 + 20*m**3 - 20*m**2 = 0. What is m?
-2, 0, 1, 2
Find d such that -4*d**4 - 32*d**3 + 76*d**2 - 40*d = 0.
-10, 0, 1
Factor j**3 + 51*j**2 + 675*j + 625.
(j + 1)*(j + 25)**2
Suppose 76*b**5 + 16*b**4 - 564*b**3 - 200*b**2 + 976*b + 672 = 0. What is b?
-42/19, -1, 2
Solve 2*z**5 - 12*z**4 - 12*z**3 + 88*z**2 - 102*z + 36 = 0 for z.
-3, 1, 6
Let 162*j**4 + 7470*j**3 - 14512*j**2 + 8416*j - 1536 = 0. What is j?
-48, 4/9, 1
Find g such that 5*g**4 + 3540*g**3 + 939870*g**2 + 110904660*g + 4907531205 = 0.
-177
Suppose b**4 + 142*b**3 + 5041*b**2 = 0. Calculate b.
-71, 0
Solve -20*g**2 - 1012*g/3 + 136/3 = 0.
-17, 2/15
Find a such that -3*a**5/7 - 36*a**4/7 + 3*a**3/7 + 576*a**2/7 - 540*a/7 = 0.
-10, -6, 0, 1, 3
Factor 2*z**3 + 20*z**2 + 18*z.
2*z*(z + 1)*(z + 9)
Solve v**2/5 + 152*v/5 + 5776/5 = 0 for v.
-76
Solve -100*d**3 + 940*d**2/3 - 2944*d/9 + 1024/9 = 0.
1, 16/15
Factor -3*f**3/4 - 99*f**2/2 + 210*f.
-3*f*(f - 4)*(f + 70)/4
Solve 5*m**4/2 - 205*m**3 = 0 for m.
0, 82
Determine q so that -q**3/9 + 17*q**2/3 - 289*q/3 + 4913/9 = 0.
17
Let q**3/6 + 2*q**2/3 - 3*q/2 - 6 = 0. What is q?
-4, -3, 3
Let -3*i**4 - 12*i**3 + 81*i**2 - 114*i + 48 = 0. Calculate i.
-8, 1, 2
Factor 2*y**5/7 + 106*y**4/7 + 1860*y**3/7 + 8100*y**2/7 - 87750*y/7 - 101250.
2*(y - 7)*(y + 15)**4/7
Factor s**3/2 - 21*s**2/2 + 9*s + 20.
(s - 20)*(s - 2)*(s + 1)/2
Determine z so that -2*z**4/7 - 4*z**3 - 96*z**2/7 + 4*z + 14 = 0.
-7, -1, 1
Solve -y**2 - 3780*y - 3572100 = 0 for y.
-1890
Suppose -y**2/2 - 212*y - 22472 = 0. What is y?
-212
Factor 2*a**2 - 22*a + 48.
2*(a - 8)*(a - 3)
Factor -c**2 + 20*c - 36.
-(c - 18)*(c - 2)
Find l, given that 2*l**5/3 + 38*l**4/3 + 58*l**3/3 - 182*l**2/3 - 68*l = 0.
-17, -3, -1, 0, 2
Factor -2*h**3/3 + 26*h**2 - 96*h + 280/3.
-2*(h - 35)*(h - 2)**2/3
Factor b**4/5 + 234*b**3/5 + 14373*b**2/5 + 80028*b/5 + 116964/5.
(b + 3)**2*(b + 114)**2/5
Find k such that 2*k**4/3 + 2158*k**3/3 - 2*k**2 - 6470*k/3 + 4316/3 = 0.
-1079, -2, 1
Factor -23*s**3/2 + 37*s**2 - 10*s - 36.
-(s - 2)**2*(23*s + 18)/2
Factor -4*c**4 - 148*c**3 - 1440*c**2 - 1296*c.
-4*c*(c + 1)*(c + 18)**2
Suppose -3*w**5 + 612*w**4 - 29322*w**3 - 192780*w**2 - 297675*w = 0. What is w?
-3, 0, 105
Solve -448*v**4/9 + 1340*v**3/9 + 4*v**2/3 = 0 for v.
-1/112, 0, 3
Factor 20*t**2 + 296*t + 224.
4*(t + 14)*(5*t + 4)
Factor 2*z**4/13 + 72*z**3.
2*z**3*(z + 468)/13
Factor -i**2/2 + 3583*i/2 - 3581.
-(i - 3581)*(i - 2)/2
Determine s, given that -4*s**5/3 + 25*s**4/3 - 14*s**3 + 25*s**2/3 - 4*s/3 = 0.
0, 1/4, 1, 4
Suppose 4*u**2 + 21360*u + 28515600 = 0. What is u?
-2670
Factor q**4/4 + 11*q**3/4 - 67*q**2/2 - 36*q.
q*(q - 8)*(q + 1)*(q + 18)/4
Factor -b**4/7 - 10*b**3/7 + 16*b**2/7 + 58*b/7 + 33/7.
-(b - 3)*(b + 1)**2*(b + 11)/7
Factor 2*g**2/9 + 2588*g/9 + 837218/9.
2*(g + 647)**2/9
Suppose -2*l**5 + 38*l**4 + 46*l**3 - 110*l**2 - 196*l - 80 = 0. What is l?
-1, 2, 20
Suppose -45*a**2 - 546*a - 72 = 0. What is a?
-12, -2/15
Determine d so that -4*d**3 + 704*d**2 - 15168*d + 87552 = 0.
12, 152
Factor -43*o**2 + 35*o + 8.
-(o - 1)*(43*o + 8)
Factor -n**2 + 15*n/8 + 1/4.
-(n - 2)*(8*n + 1)/8
What is q in 8*q**4 - 42*q**3 + 78*q**2 - 62*q + 18 = 0?
1, 9/4
What is x in 7*x**4 + 22*x**3 - 753*x**2 - 108*x = 0?
-12, -1/7, 0, 9
Find c such that 2*c**3 - 176*c**2/3 + 18*c + 116/3 = 0.
-2/3, 1, 29
Determine d, given that 3*d**2 - 111*d + 396 = 0.
4, 33
Factor -2*g**3 - 4*g**2 + 2*g + 4.
-2*(g - 1)*(g + 1)*(g + 2)
Factor 192*a**3 - 5616*a**2 + 41067*a.
3*a*(8*a - 117)**2
Factor 3*s**5 - 30*s**4 + 96*s**3 - 96*s**2.
3*s**2*(s - 4)**2*(s - 2)
Solve -2*h**3/23 - 14*h**2/23 + 48*h/23 + 360/23 = 0.
-6, 5
Factor -5*c**3 - 970*c**2 + 2945*c - 1970.
-5*(c - 2)*(c - 1)*(c + 197)
Factor -k**4/4 + k**3/2 + 3*k**2 - 9*k/2 - 27/4.
-(k - 3)**2*(k + 1)*(k + 3)/4
Factor -2*x**2 - 4*x + 70.
-2*(x - 5)*(x + 7)
Let -3*q**3 - 111*q**2 - 405*q - 297 = 0. Calculate q.
-33, -3, -1
Factor 2*v**3 - 116*v**2 + 224*v.
2*v*(v - 56)*(v - 2)
Factor w**2 - 16*w + 55.
(w - 11)*(w - 5)
What is a in -a**5/2 + 3*a**3/2 - a**2 = 0?
-2, 0, 1
Solve -z**5 - 71*z**4 + 297*z**3 - 229*z**2 - 296*z + 300 = 0 for z.
-75, -1, 1, 2
Solve 5*s**2 - 110*s - 115 = 0 for s.
-1, 23
Suppose -2*u**3/5 - 558*u**2/5 + 564*u/5 + 224 = 0. Calculate u.
-280, -1, 2
Let 140*l**4 + 520*l**3 + 295*l**2 - 25*l - 30 = 0. Calculate l.
-3, -1/2, 2/7
Solve -4*u**3/7 + 40*u**2/7 - 16*u + 96/7 = 0.
2, 6
Let -h**5/8 + 39*h**4/8 - 52*h**3 + 51*h**2 + 594*h + 486 = 0. What is h?
-2, -1, 6, 18
Solve r**2/3 - 49*r + 290/3 = 0.
2, 145
Solve 225*r**3/2 - 73605*r**2 + 19622*r - 1308 = 0 for r.
2/15, 654
Find q such that -3*q**2/7 + 60*q/7 - 288/7 = 0.
8, 12
Factor f**2/10 - 58*f/5 - 117/10.
(f - 117)*(f + 1)/10
Find q, given that -4*q**3 - 24*q**2 - 32*q = 0.
-4, -2, 0
Suppose 42*w**4 + 124*w**3 - 8*w**2 - 176*w = 0. What is w?
-2, 0, 22/21
Let 3*o**3 - 642*o**2 + 38907*o - 470448 = 0. What is o?
16, 99
Factor -s**4/2 + 28*s**3 - 588*s**2 + 5488*s - 19208.
-(s - 14)**4/2
Suppose 28*q**3/3 + 514*q**2/9 + 98*q/3 + 44/9 = 0. Calculate q.
-11/2, -1/3, -2/7
Find o, given that 3*o**5 + 9*o**4 - 18*o**3 - 30*o**2 + 63*o - 27 = 0.
-3, 1
Solve -2*m**2/17 - 246*m/17 - 244/17 = 0 for m.
-122, -1
Suppose 3*p**2/7 + 12*p/7 + 12/7 = 0. What is p?
-2
Solve -3*z**2 + 465*z - 462 = 0.
1, 154
Factor 4*p**3/7 + 100*p**2/7 + 96*p/7.
4*p*(p + 1)*(p + 24)/7
Find q such that 95*