 0 for k.
2, 151
Find n, given that 147*n**5 - 483*n**4 - 123*n**3 + 783*n**2 - 324 = 0.
-6/7, 1, 3
Factor -5*f**3 - 90*f**2 - 85*f.
-5*f*(f + 1)*(f + 17)
Let 4*c**4 + 16*c**3 + 20*c**2 + 8*c = 0. Calculate c.
-2, -1, 0
Solve 2*q**4 - 36*q**3 - 38*q**2 = 0.
-1, 0, 19
Determine s so that 6*s**5 + 39*s**4 - 72*s**3 - 645*s**2 - 300*s = 0.
-5, -1/2, 0, 4
Determine m, given that -3*m**5/11 + m**4 - 6*m**3/11 - 12*m**2/11 + 8*m/11 = 0.
-1, 0, 2/3, 2
Factor -2*j**2/3 - 28*j + 86/3.
-2*(j - 1)*(j + 43)/3
Factor -2*a**3/17 + 290*a**2 - 3040576*a/17 + 3035648/17.
-2*(a - 1232)**2*(a - 1)/17
Factor -2*a**3/7 + 233*a**2/7 + 844*a/7 - 480/7.
-(a - 120)*(a + 4)*(2*a - 1)/7
Factor 2*c**2/5 - 82*c/5.
2*c*(c - 41)/5
Find w, given that 16*w**2 - 350*w = 0.
0, 175/8
Factor -2*o**5/3 - 10*o**4/3 + 14*o**3 - 46*o**2/3 + 16*o/3.
-2*o*(o - 1)**3*(o + 8)/3
Let -2*h**3/9 + 4*h**2 - 10*h/3 - 68/9 = 0. Calculate h.
-1, 2, 17
Factor y**3/11 - 92*y**2/11 + 91*y/11.
y*(y - 91)*(y - 1)/11
Factor 2*w**3/11 + 1216*w**2/11 - 4890*w/11 + 3672/11.
2*(w - 3)*(w - 1)*(w + 612)/11
Factor 3*g**3 + 729*g**2 - 10647*g + 37779.
3*(g - 7)**2*(g + 257)
Find z, given that -2*z**5/7 + 22*z**4/7 - 20*z**3/7 = 0.
0, 1, 10
Factor f**3/2 + 13*f**2/2 - 76*f + 168.
(f - 4)**2*(f + 21)/2
Suppose 25*h**3 - 645*h**2/4 + 755*h/4 - 75/2 = 0. Calculate h.
1/4, 6/5, 5
Let 3*v**4/5 + 24*v**3/5 + 9*v**2 - 12*v/5 - 12 = 0. Calculate v.
-5, -2, 1
Find m such that -5*m**4 - 65*m**3 - 90*m**2 + 1620*m + 5400 = 0.
-6, 5
Suppose 3*q**4 + 6*q**3 - 57*q**2 + 84*q - 36 = 0. What is q?
-6, 1, 2
Factor -r**2 - 179*r - 1848.
-(r + 11)*(r + 168)
Suppose 4*x**2/9 - 1144*x/9 + 81796/9 = 0. What is x?
143
Suppose 2*t**4/7 + 4*t**3 + 90*t**2/7 + 104*t/7 + 40/7 = 0. Calculate t.
-10, -2, -1
Solve -5*c**4/4 + 1130*c**3 - 383070*c**2 + 57715880*c - 3260947220 = 0.
226
Factor z**5 - 29*z**4/7 + 4*z**3/7 + 16*z**2 - 128*z/7 + 16/7.
(z - 2)**3*(z + 2)*(7*z - 1)/7
Find q, given that q**3/5 + 48*q**2/5 + 93*q/5 + 46/5 = 0.
-46, -1
What is o in 10*o**4/7 + 33*o**3/7 - o**2/7 - 33*o/7 - 9/7 = 0?
-3, -1, -3/10, 1
Factor -y**2 + 211*y - 418.
-(y - 209)*(y - 2)
Suppose 2*k**3/19 + 6*k**2/19 - 260*k/19 = 0. What is k?
-13, 0, 10
Factor 5*l**4 - 550*l**3.
5*l**3*(l - 110)
Determine o so that 5*o**3 - 190*o**2 + 2205*o - 8100 = 0.
9, 20
Factor -2*o**5/7 - 10*o**4/7 - 8*o**3/7.
-2*o**3*(o + 1)*(o + 4)/7
Suppose -5*f**2 + 3330*f - 3325 = 0. Calculate f.
1, 665
Solve t**2 + 26*t + 169 = 0.
-13
Determine n, given that n**5 + 13*n**4 - 2*n**3 - 26*n**2 + n + 13 = 0.
-13, -1, 1
Find k, given that 8*k**5/17 + 90*k**4/17 - 210*k**3 - 4570*k**2/17 - 54*k = 0.
-27, -1, -1/4, 0, 17
Factor -4*y**3/7 - 4*y**2.
-4*y**2*(y + 7)/7
Determine a so that -3*a**2 + 606*a = 0.
0, 202
Factor -2*q**2 + 424*q - 22472.
-2*(q - 106)**2
Find v, given that -425*v**5 - 865*v**4 - 30*v**3 + 850*v**2 + 455*v + 15 = 0.
-1, -3/85, 1
Factor 20*d**3 + 624*d**2 + 124*d.
4*d*(d + 31)*(5*d + 1)
Factor 2*y**5/5 - 4*y**4/5 - 6*y**3/5.
2*y**3*(y - 3)*(y + 1)/5
Let y**4/7 - y**3/7 - 22*y**2/7 - 44*y/7 - 24/7 = 0. What is y?
-2, -1, 6
Factor -5*t**2/8 - 7*t/2 + 3/2.
-(t + 6)*(5*t - 2)/8
Find q, given that q**2/2 + 5*q/2 + 3 = 0.
-3, -2
Let 2*k**3 + 10*k**2 + 12*k = 0. Calculate k.
-3, -2, 0
Find k, given that -4*k**5 + 8*k**4 + 12*k**3 - 32*k**2 + 16*k = 0.
-2, 0, 1, 2
Factor 3*k**2 - 2202*k + 4392.
3*(k - 732)*(k - 2)
Let -5*q**5 + 30*q**4 + 15*q**3 - 280*q**2 + 240*q = 0. What is q?
-3, 0, 1, 4
Solve 2*t**3/13 - 672*t**2/13 + 57114*t/13 - 111556/13 = 0.
2, 167
What is l in -3*l**2/4 - 60*l + 387 = 0?
-86, 6
Let -8*y**4 - 18*y**3 + 36*y**2 + 58*y + 12 = 0. Calculate y.
-3, -1, -1/4, 2
Solve k**2/2 + 19*k/2 + 30 = 0.
-15, -4
Suppose c**5 + 34*c**4 - 623*c**3 + 2352*c**2 = 0. What is c?
-48, 0, 7
Factor 4*u**2/5 - 68*u/5 + 264/5.
4*(u - 11)*(u - 6)/5
Let -2*x**4/3 + 7*x**3/6 + x**2/3 = 0. What is x?
-1/4, 0, 2
Suppose p**2 + 25*p - 26 = 0. What is p?
-26, 1
Factor -2*c**2/7 - 16*c/7 - 32/7.
-2*(c + 4)**2/7
What is x in 96100*x**2/7 + 2480*x/7 + 16/7 = 0?
-2/155
Factor 2*w**3/3 + 202*w**2/3 + 5200*w/3 + 5000/3.
2*(w + 1)*(w + 50)**2/3
Determine p, given that 2*p**3/5 - 4*p**2/5 - 288*p/5 + 576/5 = 0.
-12, 2, 12
Factor b**3/5 + 83*b**2/5 + 368*b + 960.
(b + 3)*(b + 40)**2/5
Find m, given that 2*m**2/3 - 2*m = 0.
0, 3
Factor -4*n**3 + 24*n**2 - 36*n.
-4*n*(n - 3)**2
Find a, given that 5*a**5 - 45*a**4 + 125*a**3 - 135*a**2 + 50*a = 0.
0, 1, 2, 5
Let v**5/3 - 70*v**4/3 + 1960*v**3/3 - 27440*v**2/3 + 192080*v/3 - 537824/3 = 0. What is v?
14
Factor -3*h**3 + 132*h**2 - 1575*h + 2646.
-3*(h - 21)**2*(h - 2)
What is l in -l**4/7 + 61*l**3 - 45793*l**2/7 + 44517*l/7 + 90738/7 = 0?
-1, 2, 213
Solve -p**5/4 - 17*p**4/2 + 159*p**3/2 - 189*p**2 + 27*p/4 + 567/2 = 0.
-42, -1, 3
Let -5*c**4 - 65*c**3 - 25*c**2 + 2345*c + 7350 = 0. What is c?
-7, -5, 6
Determine d, given that -d**3/5 + 19*d**2 + 597*d/5 + 909/5 = 0.
-3, 101
Find o, given that -o**5/2 + 45*o**4/4 + 411*o**3/4 + 565*o**2/2 + 297*o + 90 = 0.
-3, -2, -1/2, 30
Solve w**4 + 51*w**3 = 0 for w.
-51, 0
Factor i**2/3 - 11*i/3 - 4.
(i - 12)*(i + 1)/3
Suppose 3*f**4 + 3*f**3 - 27*f**2 + 33*f - 12 = 0. Calculate f.
-4, 1
Let -k**2/3 + 6824*k/3 - 11641744/3 = 0. Calculate k.
3412
Factor -3*t**4 + 30*t**3.
-3*t**3*(t - 10)
Factor -4*a**2/7 + 2020*a/7 - 288.
-4*(a - 504)*(a - 1)/7
What is l in 2*l**4/5 + 6*l**3 + 156*l**2/5 + 64*l + 192/5 = 0?
-6, -4, -1
Determine s so that -5*s**2 + 270*s - 1000 = 0.
4, 50
Factor j**3/5 - 8*j**2/5 - 44*j/5 - 48/5.
(j - 12)*(j + 2)**2/5
Solve g**2/3 - g - 18 = 0.
-6, 9
Suppose -o**2/4 + 1636*o - 2676496 = 0. What is o?
3272
Factor -2*t**3/13 - 14*t**2/13 - 30*t/13 - 18/13.
-2*(t + 1)*(t + 3)**2/13
Let 44*h**5 + 2016*h**4 + 3460*h**3 - 2720*h**2 - 3504*h + 704 = 0. Calculate h.
-44, -2, -1, 2/11, 1
Find q such that -3*q**2/5 + 714*q/5 + 288 = 0.
-2, 240
Factor 9*s**3 - 7*s**2 - 20*s - 4.
(s - 2)*(s + 1)*(9*s + 2)
Solve -20*i**5/3 - 200*i**4/3 + 395*i**3/3 + 1745*i**2/3 - 645*i + 165 = 0 for i.
-11, -3, 1/2, 3
Determine c so that 3*c**2 + 45*c - 102 = 0.
-17, 2
Solve -5*u**5 + 10*u**4 + 5*u**3 - 10*u**2 = 0.
-1, 0, 1, 2
Suppose -w**2/3 - 85*w/3 - 166/3 = 0. Calculate w.
-83, -2
Determine v so that 36*v**4 - 568*v**3 + 2644*v**2 - 2912*v - 784 = 0.
-2/9, 2, 7
Suppose -2*j**2 - 648*j - 52488 = 0. Calculate j.
-162
Factor 2*v**4/3 - 2*v**3/3 - 2*v**2/3 + 2*v/3.
2*v*(v - 1)**2*(v + 1)/3
Factor l**3 + 22*l**2 - 224*l + 480.
(l - 4)**2*(l + 30)
Let 3*y**4/2 + 18*y**3 + 63*y**2/2 + 15*y = 0. Calculate y.
-10, -1, 0
Factor -3*y**2/2 - 8925*y/2 - 8919.
-3*(y + 2)*(y + 2973)/2
Determine d so that -d**4/4 - 18*d**3 + 223*d**2/4 - 75*d/2 = 0.
-75, 0, 1, 2
What is v in -3*v**3 - 171*v**2 - 2925*v - 13125 = 0?
-25, -7
Factor -21*d**2 - 300*d - 84.
-3*(d + 14)*(7*d + 2)
Determine n so that -3*n**4 + 12*n**3 + 180*n**2 = 0.
-6, 0, 10
Factor 159*u**2/7 - 150*u/7 - 9/7.
3*(u - 1)*(53*u + 3)/7
Factor 147*g**2/4 - 336*g + 768.
3*(7*g - 32)**2/4
Solve 28*q**4 + 36*q**3 + 8*q**2 = 0.
-1, -2/7, 0
Solve 3*h**2/7 - 6*h/7 + 3/7 = 0.
1
Factor 4*s**3 - 1640*s**2 - 3292*s - 1648.
4*(s - 412)*(s + 1)**2
Factor -2*n**4/7 - 116*n**3 - 2418*n**2/7.
-2*n**2*(n + 3)*(n + 403)/7
Let -32*i**3 - 408*i**2 - 1734*i - 4913/2 = 0. What is i?
-17/4
Determine s, given that -2*s**5/9 + 34*s**4/3 - 476*s**3/9 + 248*s**2/3 - 368*s/9 = 0.
0, 1, 2, 46
Determine z so that z**3/9 + 23*z**2/9 - 8*z/3 = 0.
-24, 0, 1
Factor 9*h**3 + 1680*h**2 + 77268*h - 106032.
3*(h + 94)**2*(3*h - 4)
Factor 15*y**3 - 115*y**2 + 160*y - 60.
5*(y - 6)*(y - 1)*(3*y - 2)
Find u, given that -14*u**5/9 - 22*u**4/3 - 4*u**3 + 16*u**2/9 = 0.
-4, -1, 0, 2/7
Factor 2*n**2/11 - 276*n/11 + 544/11.
2*(n - 136)*(n - 2)/11
Factor -5*t**4 + 5*t**2.
-5*t**2*(t - 1)*(t + 1)
Factor -4*j**2/5 - 76*j/5 - 72/5.
-4*(j + 1)*(j + 18)/5
Factor -4*p**4 + 36*p**3 - 56*p**2.
-4*p**2*(p - 7)*(p - 2)
Factor 2*k**3 - 286*k**2/7 + 112*k + 544/7.
2*(k - 17)*(k - 4)*(7*k + 4)/7
Factor -o**4/3 + 14*o**3/3 - 25*o**2/3 + 4*o.
-o*(o - 12)*(o - 1)**2/3
Factor -5*b**2 + 1210*b - 73205.
-5*(b - 121)**2
What is o in 4*o**5/5 + 10*o**4 + 228*o**3/5 + 454*o**2/5 + 368*o/5 + 96/5 = 0?
-4, -3, -1, -1/2
Factor -2*p**3 + 3*p**2 + 29*p + 30.
-(p - 5)*(p + 2)*(2*p + 3)
Factor 2*l**3/17 - 30*l**2/17 + 24*l/17 + 56/17.
2*(l - 1