1 + 1950*c/11.
2*c*(c + 975)/11
Let -6*q**4/5 + 2974*q**3/15 - 2182*q**2/5 + 1414*q/5 - 652/15 = 0. Calculate q.
2/9, 1, 163
Factor -4*v**2/7 + 296*v/7 + 300/7.
-4*(v - 75)*(v + 1)/7
Factor 4*s**2 - 236*s - 488.
4*(s - 61)*(s + 2)
Factor -36*a**4 - 64*a**3 - 20*a**2 + 8*a.
-4*a*(a + 1)**2*(9*a - 2)
Solve -4*j**2 + 20*j - 16 = 0.
1, 4
Suppose -2*j**3 + 466*j**2 - 26910*j - 27378 = 0. Calculate j.
-1, 117
Let 5*t**2 + 1110*t + 1105 = 0. What is t?
-221, -1
Find r, given that 2*r**4/7 + 100*r**3/7 + 1272*r**2/7 + 3440*r/7 - 12800/7 = 0.
-32, -10, 2
Find w, given that 4*w**3/7 - 76*w**2/7 - 88*w/7 + 160/7 = 0.
-2, 1, 20
Factor -3*p**2/2 - 2277*p/2 - 2271.
-3*(p + 2)*(p + 757)/2
Factor -p**2 - 15*p - 44.
-(p + 4)*(p + 11)
Determine q, given that 7*q**4/2 + 23*q**3 + 12*q**2 = 0.
-6, -4/7, 0
Factor 2*r**3/7 - 8*r**2/7 - 2*r + 20/7.
2*(r - 5)*(r - 1)*(r + 2)/7
Find g, given that -5*g**3 + 50*g**2 + 65*g - 110 = 0.
-2, 1, 11
Factor 2*g**3/13 + 16*g**2/13 - 22*g/13 - 36/13.
2*(g - 2)*(g + 1)*(g + 9)/13
Find b, given that 6*b**5 - 543*b**4/2 + 6963*b**3/2 - 18591*b**2/2 + 14805*b/2 - 1323 = 0.
1/4, 1, 2, 21
Factor 5*o**5 - 10*o**4 - 15*o**3 + 20*o**2 + 20*o.
5*o*(o - 2)**2*(o + 1)**2
Determine s so that 5*s**4 - 200*s**3 + 3000*s**2 - 20000*s + 50000 = 0.
10
Factor -3*c**3/2 + 45*c**2/2 + 78*c + 54.
-3*(c - 18)*(c + 1)*(c + 2)/2
Factor 2*m**2/3 - 10*m/3 - 100.
2*(m - 15)*(m + 10)/3
Factor 2*u**2/5 + 204*u/5 + 5202/5.
2*(u + 51)**2/5
Factor 3*z**3/2 - 138*z**2 + 3654*z - 21168.
3*(z - 42)**2*(z - 8)/2
What is b in b**2/4 + 2221*b + 4932841 = 0?
-4442
Factor -m**2 - 2039*m - 4074.
-(m + 2)*(m + 2037)
Factor -5*p**3 - 55*p**2 - 120*p + 180.
-5*(p - 1)*(p + 6)**2
Find o such that 4*o**5 + 4*o**4 - 148*o**3 + 236*o**2 + 528*o - 1008 = 0.
-7, -2, 2, 3
Factor -c**4 - 52*c**3 - 439*c**2 + 492*c.
-c*(c - 1)*(c + 12)*(c + 41)
Let -5*t**3 - 1135*t**2 - 3360*t = 0. What is t?
-224, -3, 0
Determine i so that i**3/6 + 13*i**2/6 - 24 = 0.
-12, -4, 3
Let 3*j**2/5 + 3*j - 42/5 = 0. Calculate j.
-7, 2
Determine p so that -p**3 - 11*p**2 + 102*p = 0.
-17, 0, 6
Factor -14*r**4 - 2608*r**3 - 162192*r**2 - 3382720*r - 953312.
-2*(r + 62)**3*(7*r + 2)
Suppose 5*h**2 + 20*h + 20 = 0. What is h?
-2
Factor 5*g**3 + 2050*g**2 - 29435*g + 103880.
5*(g - 7)**2*(g + 424)
Factor -2*t**5 - 10*t**4 - 8*t**3 + 32*t**2 + 64*t + 32.
-2*(t - 2)*(t + 1)*(t + 2)**3
Solve 128*i**5 - 1232*i**4 + 2726*i**3 + 4561*i**2/4 + 295*i/2 + 25/4 = 0 for i.
-1/8, 5
Factor -q**2/3 + 283*q/3.
-q*(q - 283)/3
Factor -5*r**3 - 425*r**2 + 865*r - 435.
-5*(r - 1)**2*(r + 87)
Factor -2*b**3/3 + 100*b**2 - 3750*b.
-2*b*(b - 75)**2/3
Suppose -5*s**5 + 32*s**4 - 57*s**3 + 18*s**2 = 0. Calculate s.
0, 2/5, 3
Factor -3*s**4/5 - 1596*s**3/5 - 212268*s**2/5.
-3*s**2*(s + 266)**2/5
Factor 5*j**3 - 315*j**2 + 5655*j - 21025.
5*(j - 29)**2*(j - 5)
Determine z, given that -7*z**5 - 5*z**4 + 9*z**3 + 5*z**2 - 2*z = 0.
-1, 0, 2/7, 1
Factor -2*q**2 - 334*q + 2076.
-2*(q - 6)*(q + 173)
Factor -4*a**3 + 64*a**2 - 180*a - 648.
-4*(a - 9)**2*(a + 2)
Let -10*m**5/9 - 6*m**4 - 10*m**3 - 58*m**2/9 - 4*m/3 = 0. Calculate m.
-3, -1, -2/5, 0
Solve 5*b**3/3 + 203*b**2/3 - 2042*b/3 + 784/3 = 0 for b.
-49, 2/5, 8
Factor 4*c**4 - 272*c**3 + 4624*c**2.
4*c**2*(c - 34)**2
Solve -p**5 + 21*p**4 + 3*p**3 - 65*p**2 + 42*p = 0 for p.
-2, 0, 1, 21
Solve h**3 + 5*h**2 - 36*h = 0.
-9, 0, 4
Solve -147*i**4/8 + 5061*i**3/8 - 3387*i**2/4 - 1281*i/2 - 99 = 0 for i.
-2/7, 2, 33
Factor -2*f**3/19 + 14*f**2/19 - 24*f/19.
-2*f*(f - 4)*(f - 3)/19
Factor -z**4/10 + z**3/5 + 2*z**2/5 - 4*z/5.
-z*(z - 2)**2*(z + 2)/10
Factor 4*a**4/3 + 104*a**3/3 + 880*a**2/3 + 800*a.
4*a*(a + 6)*(a + 10)**2/3
Factor 3*b**2/5 + 273*b/5 - 558/5.
3*(b - 2)*(b + 93)/5
Solve 4*i**4 - 720*i**3 + 43200*i**2 - 864000*i = 0 for i.
0, 60
Factor 5*a**3/3 - 380*a**2/3 + 715*a - 1050.
5*(a - 70)*(a - 3)**2/3
Let 4*c**5 + 108*c**4 + 868*c**3 + 1764*c**2 - 2744*c = 0. What is c?
-14, -7, 0, 1
Factor 2*h**4/3 + 16*h**3/3 - 22*h**2/3 - 12*h.
2*h*(h - 2)*(h + 1)*(h + 9)/3
Factor z**4/3 - 32*z**3/3 + 20*z**2.
z**2*(z - 30)*(z - 2)/3
Factor 25*n**3/4 - 125*n**2 + 559*n - 204.
(n - 6)*(5*n - 68)*(5*n - 2)/4
Factor 2*l**5/11 - 60*l**4/11 + 626*l**3/11 - 240*l**2 + 352*l.
2*l*(l - 11)**2*(l - 4)**2/11
Suppose -6*w**3/5 - 124*w**2/5 + 26*w = 0. What is w?
-65/3, 0, 1
Let -1165*x**2/6 - 1160*x/3 + 10/3 = 0. Calculate x.
-2, 2/233
Find g, given that 3*g**2 - 174*g + 171 = 0.
1, 57
Let 2*g**5/23 + 44*g**4/23 + 194*g**3/23 - 528*g**2/23 + 288*g/23 = 0. What is g?
-12, 0, 1
Solve 5*h**2/6 + 379*h/2 - 114 = 0.
-228, 3/5
Suppose 3*w**3 + 66*w**2 + 111*w - 180 = 0. Calculate w.
-20, -3, 1
Factor -3*g**3 - 27*g**2 - 81*g - 81.
-3*(g + 3)**3
Factor 3*h**2 + 18*h - 81.
3*(h - 3)*(h + 9)
Factor 2*r**4/3 - 58*r**3/3 + 160*r**2/3 - 104*r/3.
2*r*(r - 26)*(r - 2)*(r - 1)/3
Factor q**2/3 + 4*q/3 + 4/3.
(q + 2)**2/3
Let 4*i**5 - 8*i**4 - 192*i**3 = 0. What is i?
-6, 0, 8
Let -12*f**4 + 416*f**3 - 1140*f**2 - 48*f + 1520 = 0. Calculate f.
-1, 2, 95/3
Find o, given that -2*o**4/7 + 16*o**3/7 - 40*o**2/7 + 32*o/7 = 0.
0, 2, 4
What is r in 2*r**2/15 + 184*r/15 + 4232/15 = 0?
-46
Factor -s**5/5 - 9*s**4/5 - 6*s**3 - 46*s**2/5 - 33*s/5 - 9/5.
-(s + 1)**3*(s + 3)**2/5
Factor -l**3 + 549*l**2 - 74520*l - 228528.
-(l - 276)**2*(l + 3)
Let 2*w**3/5 - 62*w**2/5 - 68*w/5 + 128/5 = 0. Calculate w.
-2, 1, 32
Factor -2*f**2 - 100*f - 98.
-2*(f + 1)*(f + 49)
Let -2*o**4/19 - 120*o**3/19 - 1782*o**2/19 + 1080*o/19 + 16200/19 = 0. What is o?
-30, -3, 3
Factor 30*i**2 - 27*i - 3.
3*(i - 1)*(10*i + 1)
Factor 2*t**3 + 88*t**2 + 742*t - 832.
2*(t - 1)*(t + 13)*(t + 32)
Factor a**5 + 5*a**4 + 8*a**3 + 4*a**2.
a**2*(a + 1)*(a + 2)**2
Find u such that 4*u**2/3 - 256*u/3 - 560 = 0.
-6, 70
Find k such that 245*k**4 - 4515*k**3 - 12930*k**2 - 6260*k - 840 = 0.
-2, -2/7, 21
Solve 7*k**3/2 - 13*k**2/2 + 5*k/2 + 1/2 = 0 for k.
-1/7, 1
Suppose -4*j**3 - 2036*j**2 + 4*j + 2036 = 0. What is j?
-509, -1, 1
What is q in -q**2 + 47*q = 0?
0, 47
Determine m so that -40*m**3 - 735*m**2 + 2155*m - 1050 = 0.
-21, 5/8, 2
Suppose -w**4/6 + w**3/2 + 2*w**2 - 26*w/3 + 8 = 0. What is w?
-4, 2, 3
Factor g**5 - 7*g**3 - 6*g**2.
g**2*(g - 3)*(g + 1)*(g + 2)
Factor 12*w**3 - 147*w**2 - 120*w + 39.
3*(w - 13)*(w + 1)*(4*w - 1)
Find d, given that -2*d**4/9 - 44*d**3/9 - 26*d**2/3 + 44*d/9 + 80/9 = 0.
-20, -2, -1, 1
Factor 3*g**4/5 - 6*g**3/5 - 3*g**2/5 + 6*g/5.
3*g*(g - 2)*(g - 1)*(g + 1)/5
Factor -12490*q**2 + 5016*q - 8.
-2*(5*q - 2)*(1249*q - 2)
Suppose -a**2/4 + 71*a/4 + 73/2 = 0. Calculate a.
-2, 73
Factor u**2 + 22*u + 117.
(u + 9)*(u + 13)
Solve 3*y**4 + 153*y**3 + 1530*y**2 + 1248*y - 21888 = 0.
-38, -8, 3
Suppose 4*q**4 + 640*q**3 + 38400*q**2 + 1024000*q + 10240000 = 0. What is q?
-40
Factor 2*z**2/3 - 4*z.
2*z*(z - 6)/3
Factor -189*q**4 - 366*q**3 - 165*q**2 + 12*q.
-3*q*(q + 1)**2*(63*q - 4)
Factor 2*v**3 + 198*v**2 + 4998*v + 4802.
2*(v + 1)*(v + 49)**2
Let -12*v**3 - 328*v**2 - 2148*v - 680 = 0. What is v?
-17, -10, -1/3
Solve -5*v**2 - 260*v + 540 = 0 for v.
-54, 2
Suppose -2*z**2 + 21860*z - 59732450 = 0. What is z?
5465
What is a in 5*a**5 - 125*a**4 - 285*a**3 + 385*a**2 + 560*a - 540 = 0?
-2, 1, 27
Let -2*w**4/5 + 64*w**3/5 - 192*w**2/5 - 1024*w - 2560 = 0. What is w?
-4, 20
Factor r**2/5 + 6*r/5 + 9/5.
(r + 3)**2/5
Factor 4*j**3/3 + 8*j**2 - 4*j/3 - 8.
4*(j - 1)*(j + 1)*(j + 6)/3
Suppose 3*x**5/2 + 3*x**4/2 - 9*x**3/2 - 3*x**2/2 + 3*x = 0. What is x?
-2, -1, 0, 1
Solve 3*c**3 - 207*c**2 + 1161*c - 1701 = 0 for c.
3, 63
Factor -2*p**5/7 - 20*p**4/7 - 32*p**3/7.
-2*p**3*(p + 2)*(p + 8)/7
Determine t so that 3*t**5 + 6*t**4 - 12*t**3 - 24*t**2 = 0.
-2, 0, 2
Factor 3*q**4 + 18*q**3 - 105*q**2 + 144*q - 60.
3*(q - 2)*(q - 1)**2*(q + 10)
Let -3*w**3/4 + 3*w**2/2 + 357*w/4 - 441 = 0. What is w?
-12, 7
Factor -2*z**2/5 + 32*z/5 - 56/5.
-2*(z - 14)*(z - 2)/5
Find x such that -7*x**5 + 859*x**4 - 601*x**3 - 1103*x**2 + 608*x + 244 = 0.
-1, -2/7, 1, 122
Solve -3*j**5 + 69*j**4 - 189*j**3 + 183*j**2 - 60*j = 0.
0, 1, 20
What is s in 2*s**2 - 12*s - 32 = 0?
-2, 8
What is q in -14*q**5/5 - 886*q**4/5 + 15246*q**3/5 - 63682*q**2/5 + 34048*q/5 + 15288/5 = 0?
-78, -2/7, 1, 7
Factor -4*w**2 - 88*w - 468.
-4*(w + 9)*(w + 13)
Determine u so that 2*u**3/13 + 28*u*