k - 805 = 0. Calculate k.
-115, -7
Let -9*f**3 + 60*f**2 - 36*f = 0. What is f?
0, 2/3, 6
Find w such that -2*w**2/11 - 2*w + 52/11 = 0.
-13, 2
Determine x so that x**5/7 - 3*x**4/7 - x**3 + 15*x**2/7 + 18*x/7 = 0.
-2, -1, 0, 3
Factor 2*d**2/7 + 18*d/7.
2*d*(d + 9)/7
Let -7*v**3 - 177*v**2 - 840*v + 3724 = 0. What is v?
-14, 19/7
Let q**3 + 10*q**2 - 7*q - 196 = 0. Calculate q.
-7, 4
Solve 3*r**2/2 + 75*r - 1197/2 = 0 for r.
-57, 7
Factor -5*d**2/6 - 1010*d/3 + 675/2.
-5*(d - 1)*(d + 405)/6
Solve -2*s**3 + 26*s**2 - 88*s + 64 = 0.
1, 4, 8
Suppose -3*j**2 - 3*j + 6 = 0. Calculate j.
-2, 1
Solve -2*c**4/9 + 56*c**3/9 - 416*c**2/9 + 352*c/3 - 96 = 0 for c.
2, 6, 18
Factor -2*v**2/7 + 54*v/7 - 100/7.
-2*(v - 25)*(v - 2)/7
Find s, given that 6*s**5/5 + 38*s**4/5 + 74*s**3/5 + 34*s**2/5 - 32*s/5 - 24/5 = 0.
-3, -2, -1, 2/3
Factor 23*n**3/4 + 12*n**2 + 27*n/4 + 1/2.
(n + 1)**2*(23*n + 2)/4
Find a, given that -2*a**5/15 + 2*a**4 + 2*a**3 - 94*a**2/3 + 84*a/5 + 48 = 0.
-4, -1, 2, 3, 15
Factor -c**4 - 585*c**3.
-c**3*(c + 585)
Factor 5*n**5 - 65*n**4 - 150*n**3.
5*n**3*(n - 15)*(n + 2)
What is g in 2*g**2/5 + 28*g/5 - 102/5 = 0?
-17, 3
Factor 4*p**2/5 + 1348*p/5.
4*p*(p + 337)/5
Find h, given that 4*h**3 + 22*h**2/3 + 8*h/3 - 2/3 = 0.
-1, 1/6
Solve 8*x**5/5 - 18*x**4/5 - 98*x**3/5 - 12*x**2 = 0 for x.
-2, -3/4, 0, 5
Factor 2*q**2/5 - 64*q - 978/5.
2*(q - 163)*(q + 3)/5
Factor 5*r**4 + 20*r**3 - 140*r**2 - 800*r - 960.
5*(r - 6)*(r + 2)*(r + 4)**2
Factor 6*o**3/7 - 60*o**2/7 + 186*o/7 - 180/7.
6*(o - 5)*(o - 3)*(o - 2)/7
Solve -5*u**3 - 20*u**2 + 260*u - 400 = 0 for u.
-10, 2, 4
Factor -z**2 + 9*z + 10.
-(z - 10)*(z + 1)
Determine a so that -a**3/4 + 109*a**2/4 - 2915*a/4 - 3025/4 = 0.
-1, 55
Determine h, given that -2*h**5/13 + 42*h**3/13 + 40*h**2/13 = 0.
-4, -1, 0, 5
Factor -2*w**3/15 + 14*w**2/15 - 2*w + 6/5.
-2*(w - 3)**2*(w - 1)/15
Determine v so that 4*v**4 - 16*v**3 - 100*v**2 + 112*v = 0.
-4, 0, 1, 7
Factor -2*q**4 + 68*q**3 + 70*q**2.
-2*q**2*(q - 35)*(q + 1)
Determine k, given that -2*k**5/7 + 1768*k**4/7 - 390722*k**3/7 - 5308*k**2/7 + 167960*k - 781456/7 = 0.
-2, 1, 442
Let -u**2 - 80*u - 1600 = 0. What is u?
-40
Factor -f**5 - 4*f**4 - f**3 + 6*f**2.
-f**2*(f - 1)*(f + 2)*(f + 3)
Let -2*r**5/11 - 4*r**4/11 + 8*r**3/11 + 16*r**2/11 = 0. What is r?
-2, 0, 2
What is j in 2*j**3 - 472*j**2/9 + 968*j/9 - 64/3 = 0?
2/9, 2, 24
Factor -2*q**4 - 150*q**3 - 144*q**2 + 296*q.
-2*q*(q - 1)*(q + 2)*(q + 74)
Let -4*d**2 - 784*d - 38416 = 0. Calculate d.
-98
Factor -4*u**3/3 + 12*u**2 - 36*u + 36.
-4*(u - 3)**3/3
Factor s**5 + 15*s**4 - 94*s**3 + 124*s**2 + 72*s - 160.
(s - 2)**3*(s + 1)*(s + 20)
Solve 2*x**2/9 + 8*x/9 + 2/3 = 0.
-3, -1
Determine t so that 2*t**2/11 - 56*t/11 = 0.
0, 28
What is b in 4*b**2 + 24*b - 64 = 0?
-8, 2
Factor -w**4/4 - 11*w**3/4 + 11*w**2/2 + 104*w + 96.
-(w - 6)*(w + 1)*(w + 8)**2/4
What is a in -5*a**5 + 5*a**4 + 90*a**3 - 250*a**2 + 235*a - 75 = 0?
-5, 1, 3
Factor 5*s**2 + 30*s - 80.
5*(s - 2)*(s + 8)
Factor -2*v**2/11 + 2*v/11 + 144/11.
-2*(v - 9)*(v + 8)/11
Factor -3*m**4/5 - 3*m**3 + 51*m**2/5 + 63*m/5.
-3*m*(m - 3)*(m + 1)*(m + 7)/5
Let -2*v**2/5 + 22*v/5 + 24/5 = 0. What is v?
-1, 12
Solve 4*k**5 - 4*k**4 - 36*k**3 - 44*k**2 - 16*k = 0.
-1, 0, 4
Solve -6*c**5/13 - 14*c**4/13 + 16*c**3/13 + 56*c**2/13 + 32*c/13 = 0.
-2, -4/3, -1, 0, 2
Find u, given that -u**2/3 + 2411*u/3 - 2410/3 = 0.
1, 2410
Factor 2*z**3/3 + 76*z**2/3 + 718*z/3 + 644/3.
2*(z + 1)*(z + 14)*(z + 23)/3
Find t such that -t**3/6 + 35*t**2/3 + 24*t = 0.
-2, 0, 72
Factor 4*k**2/3 - 3784*k - 11356/3.
4*(k - 2839)*(k + 1)/3
Determine a so that 3*a**5/2 - 453*a**4/2 + 17325*a**3/2 - 16875*a**2/2 = 0.
0, 1, 75
Solve g**5 + 76*g**4 + 74*g**3 - 76*g**2 - 75*g = 0 for g.
-75, -1, 0, 1
Let 12*p**5/5 - 13*p**4/5 - 24*p**3/5 + 3*p**2/5 + 2*p/5 = 0. What is p?
-1, -1/4, 0, 1/3, 2
Find a such that -2*a**2/5 + 6*a + 68/5 = 0.
-2, 17
Factor -2*l**2/13 + 3532*l/13 - 1559378/13.
-2*(l - 883)**2/13
Factor -2*t**2/9 + 14*t/9 + 16/9.
-2*(t - 8)*(t + 1)/9
Factor 5*r**4 + 15*r**3 - 35*r**2 - 75*r + 90.
5*(r - 2)*(r - 1)*(r + 3)**2
Factor 3*c**2 + 8136*c + 5516208.
3*(c + 1356)**2
Factor -3*j**2 + 3.
-3*(j - 1)*(j + 1)
Find f, given that f**2/4 - 53*f/2 - 107/4 = 0.
-1, 107
Find r, given that -3*r**5 - 18*r**4 - 39*r**3 - 36*r**2 - 12*r = 0.
-2, -1, 0
Factor 46*d**3 + 100*d**2 + 62*d + 8.
2*(d + 1)**2*(23*d + 4)
Suppose y**3/3 + 65*y**2/3 + 1088*y/3 + 1024/3 = 0. What is y?
-32, -1
Factor 4*h**2 + 5080*h + 1612900.
4*(h + 635)**2
Factor -3*z**3/4 + 27*z**2/4 + 3*z/4 - 27/4.
-3*(z - 9)*(z - 1)*(z + 1)/4
Determine y so that -2*y**5/9 - 4*y**4/9 + 76*y**3/9 + 296*y**2/9 + 358*y/9 + 140/9 = 0.
-5, -2, -1, 7
Find b such that 4*b**5 - 8*b**4 - 12*b**3 + 32*b**2 - 16*b = 0.
-2, 0, 1, 2
Let -14*x**5 + 2096*x**4 - 532058*x**3/7 - 1285012*x**2/7 - 334400*x/7 - 23104/7 = 0. What is x?
-2, -1/7, 76
Let 4*m**4 - 8*m**3 - 48*m**2 + 160*m - 128 = 0. Calculate m.
-4, 2
Suppose w**3/3 + 10*w**2 + 36*w + 104/3 = 0. Calculate w.
-26, -2
Factor -5*w**4/4 - 485*w**3/4 - 11515*w**2/4 + 12005*w/4.
-5*w*(w - 1)*(w + 49)**2/4
Find p such that p**3/2 - 21*p**2/2 - 97*p/2 - 75/2 = 0.
-3, -1, 25
Factor -w**2 - 45*w - 450.
-(w + 15)*(w + 30)
Factor -5*a**2 + 310*a.
-5*a*(a - 62)
Factor -d**2/2 + 59*d/2.
-d*(d - 59)/2
Let -4*z**4/9 + 88*z**3/9 - 52*z**2/3 - 88*z/9 + 160/9 = 0. What is z?
-1, 1, 2, 20
Factor -3*l**2 + 12.
-3*(l - 2)*(l + 2)
Factor 2*s**3/15 + 2*s**2/15 - 2*s/3 + 2/5.
2*(s - 1)**2*(s + 3)/15
Solve 5*n**2/3 - 100*n/3 + 60 = 0.
2, 18
Factor -4*s**2 + 48*s + 112.
-4*(s - 14)*(s + 2)
Suppose y**2/9 + 10*y/9 - 13/3 = 0. Calculate y.
-13, 3
Factor 2*k**2/11 - 3416*k/11 + 3414/11.
2*(k - 1707)*(k - 1)/11
Suppose 5*a**5 + 20*a**4 - 50*a**2 - 5*a + 30 = 0. Calculate a.
-3, -2, -1, 1
Solve d**5 + 16*d**4 + 40*d**3 - 246*d**2 - 297*d + 486 = 0 for d.
-9, -2, 1, 3
Let -5*q**2 - 695*q - 1370 = 0. What is q?
-137, -2
Factor -4*i**3/3 - 316*i**2/3 - 4952*i/3 - 4640/3.
-4*(i + 1)*(i + 20)*(i + 58)/3
Let 3*o**3 - 36*o**2 + 51*o + 90 = 0. What is o?
-1, 3, 10
Suppose -2*d**3/13 + 996*d**2/13 - 9690*d + 37544 = 0. What is d?
4, 247
Factor -w**5 - 6*w**4 + 3*w**3 + 52*w**2 + 60*w.
-w*(w - 3)*(w + 2)**2*(w + 5)
Factor -5*j**2 - 4555*j - 9090.
-5*(j + 2)*(j + 909)
Determine u so that -3*u**3 - 87*u**2 - 534*u + 1440 = 0.
-16, -15, 2
Factor -4*i**2/7 + 3376*i/7 - 712336/7.
-4*(i - 422)**2/7
Factor n**3/4 - 39*n**2/4 + 108*n - 243.
(n - 18)**2*(n - 3)/4
Determine x so that 2*x**5 + 6*x**4 - 16*x**3 - 24*x**2 + 32*x = 0.
-4, -2, 0, 1, 2
What is g in -2*g**5/19 + 102*g**4/19 - 20*g**3 + 180*g**2/19 + 382*g/19 - 282/19 = 0?
-1, 1, 3, 47
Factor x**4/4 + 3*x**3/2 - 3*x**2/4 - 4*x + 3.
(x - 1)**2*(x + 2)*(x + 6)/4
Factor -15*b**2 - 3639*b + 1458.
-3*(b + 243)*(5*b - 2)
Factor 3*s**2/5 - 18*s/5 - 81/5.
3*(s - 9)*(s + 3)/5
What is o in -o**2 - 22*o - 121 = 0?
-11
Factor 3*q**3/2 + 72*q**2 - 147*q/2.
3*q*(q - 1)*(q + 49)/2
Solve -z**5/5 - 28*z**4/5 - 122*z**3/5 - 164*z**2/5 - 69*z/5 = 0 for z.
-23, -3, -1, 0
Suppose 22*j**4/9 + 994*j**3/9 + 3932*j**2/3 + 12760*j/9 + 1936/9 = 0. What is j?
-22, -1, -2/11
Suppose 4*x**3 - 112*x**2 - 4*x + 112 = 0. Calculate x.
-1, 1, 28
Find l, given that 5*l**4 + 10*l**3 + 5*l**2 = 0.
-1, 0
Factor 2*l**3/13 + 36*l**2/13 - 746*l/13 - 60.
2*(l - 13)*(l + 1)*(l + 30)/13
Determine t so that 4*t**5 - 56*t**4 + 48*t**3 + 56*t**2 - 52*t = 0.
-1, 0, 1, 13
Factor 2*b**4/23 - 8*b**3/23.
2*b**3*(b - 4)/23
Factor 16*s**3/5 + 156*s**2/5 + 296*s/5 - 84/5.
4*(s + 3)*(s + 7)*(4*s - 1)/5
Determine b, given that 3*b**4 + 420*b**3 + 14700*b**2 = 0.
-70, 0
Factor 2*y**2/11 + 74*y/11.
2*y*(y + 37)/11
Suppose -4*g**4/3 + 187*g**3/3 + 479*g**2/6 + 49*g/6 - 8 = 0. What is g?
-1, -1/2, 1/4, 48
Factor 2*r**4/7 + 10*r**3/7 + 2*r**2/7 - 6*r - 36/7.
2*(r - 2)*(r + 1)*(r + 3)**2/7
Factor 3*y**2/5 + 72*y/5.
3*y*(y + 24)/5
Find p such that -9*p**5/5 - 138*p**4/5 + 582*p**3/5 - 828*p**2/5 + 507*p/5 - 114/5 = 0.
-19, 2/3, 1
Suppose p**5/2 + 77*p**4/6 + 385*p**3/6 - 1565*p**2/6 - 644*p/3 + 98 = 0. Calculate p.
-14, -1, 1/3, 3
Solve -5*s**2 - 255*s + 1100 = 0.
-55, 4
Let -12*l**4 - 640*l**3 + 7048*l**2 - 16480*l - 6300 = 0. What is l?
-63, -1/3, 5
Factor -o**2/3 + 2500*o/3 + 1668.
-(o - 2502)*(o + 2)/3
Find d, given that -d**