3
Suppose -3*l**2/7 - 297*l/7 - 2904/7 = 0. Calculate l.
-88, -11
Solve 2*l**4/13 - 54*l**3/13 + 308*l**2/13 - 576*l/13 + 320/13 = 0 for l.
1, 2, 4, 20
Let -d**3/8 - 32*d**2 - 16637*d/8 - 16129/4 = 0. What is d?
-127, -2
Factor 15*h**3 + 10*h**2 - 35*h + 10.
5*(h - 1)*(h + 2)*(3*h - 1)
Factor 15*y**5 + 144*y**4 - 60*y**3.
3*y**3*(y + 10)*(5*y - 2)
What is k in k**5 - 25*k**4 + 140*k**3 - 260*k**2 + 144*k = 0?
0, 1, 2, 4, 18
Let -a**4/4 + 17*a**3/4 + 89*a**2/4 - 105*a/4 = 0. Calculate a.
-5, 0, 1, 21
Factor v**4 - 883*v**3.
v**3*(v - 883)
Factor 7*i**5/4 - 19*i**4/4 - 12*i**3 + 46*i**2 - 28*i - 12.
(i - 2)**3*(i + 3)*(7*i + 2)/4
Factor m**4/5 + 44*m**3/5 + 334*m**2/5 - 660*m + 1125.
(m - 3)**2*(m + 25)**2/5
Factor -2*d**2/9 - 680*d/9 - 57800/9.
-2*(d + 170)**2/9
Find l, given that -l**3/4 - 89*l**2/2 - 5681*l/4 - 12635 = 0.
-140, -19
Let 5*r**3 + 230*r**2 - 480*r = 0. What is r?
-48, 0, 2
Determine f so that -5*f**3 - 142*f**2 - 791*f - 294 = 0.
-21, -7, -2/5
Suppose f**3 - 31*f + 30 = 0. What is f?
-6, 1, 5
Factor -3*j**4 + 129*j**3 + 405*j**2 + 411*j + 138.
-3*(j - 46)*(j + 1)**3
Find h such that -50*h**5 - 3290*h**4 - 5808*h**3 - 3080*h**2 - 512*h = 0.
-64, -1, -2/5, 0
Factor 5*z**4 - 50*z**3 + 85*z**2 + 140*z.
5*z*(z - 7)*(z - 4)*(z + 1)
Factor -3*h**2/8 - 81*h/8 - 69/2.
-3*(h + 4)*(h + 23)/8
Factor 2*d**4/7 + 38*d**3/7 - 2*d**2/7 - 38*d/7.
2*d*(d - 1)*(d + 1)*(d + 19)/7
What is a in -2*a**5 + 260*a**4 - 8178*a**3 - 18216*a**2 + 26136*a = 0?
-3, 0, 1, 66
What is i in i**2/5 + 131*i/5 + 384/5 = 0?
-128, -3
Factor 2*v**5/3 - 8*v**4/3 + 2*v**3.
2*v**3*(v - 3)*(v - 1)/3
Factor -3*y**5/7 - 18*y**4/7 + 3*y**3.
-3*y**3*(y - 1)*(y + 7)/7
Factor -2*n**2/11 + 12*n/11 + 432/11.
-2*(n - 18)*(n + 12)/11
Suppose k**2/2 + 89*k/2 + 87 = 0. Calculate k.
-87, -2
Solve 4*z**2 + 6040*z + 2280100 = 0 for z.
-755
Find f, given that f**4 - 11*f**3 + 43*f**2 - 69*f + 36 = 0.
1, 3, 4
Determine z, given that z**2/2 + 25*z/2 + 42 = 0.
-21, -4
Suppose 3*m**5/2 - 9*m**4/2 - 27*m**3/2 - 15*m**2/2 = 0. Calculate m.
-1, 0, 5
Factor -i**4 - 219*i**3 + 1800*i**2 - 3632*i.
-i*(i - 4)**2*(i + 227)
Factor -d**3/3 + 5*d**2/3 - 7*d/3 + 1.
-(d - 3)*(d - 1)**2/3
Factor -3*n**2/4 - 75*n/4 - 18.
-3*(n + 1)*(n + 24)/4
Factor c**2/3 + 58*c + 2523.
(c + 87)**2/3
Factor 4*y**4 + 300*y**3 + 6568*y**2 + 35088*y + 46240.
4*(y + 2)*(y + 5)*(y + 34)**2
Factor -p**2/8 + 1437*p/8.
-p*(p - 1437)/8
Solve 2*h**4/19 - 14*h**3/19 - 68*h**2/19 + 464*h/19 - 384/19 = 0.
-6, 1, 4, 8
Factor -2*m**3/9 + 2418*m**2 - 8770086*m + 10603033974.
-2*(m - 3627)**3/9
Let -9*n**3 + 884*n**2 - 21805*n + 4802 = 0. Calculate n.
2/9, 49
Factor 3*c**3 + 15*c**2 + 12*c.
3*c*(c + 1)*(c + 4)
Suppose -4*s**5/9 - 20*s**4/9 + 44*s**3/3 - 12*s**2 = 0. Calculate s.
-9, 0, 1, 3
Solve -3*g**4/5 + 51*g**3/5 + 111*g**2/5 + 57*g/5 = 0.
-1, 0, 19
Solve 3*y**4 - 15*y**3 + 24*y**2 - 12*y = 0 for y.
0, 1, 2
Factor b**4/7 - 164*b**3/7 - 219*b**2 - 4136*b/7 - 2768/7.
(b - 173)*(b + 1)*(b + 4)**2/7
Factor 40*j**5 - 84*j**4 + 48*j**3 - 4*j**2.
4*j**2*(j - 1)**2*(10*j - 1)
Find t such that 2*t**4/3 + 80*t**3/3 + 266*t**2 - 80*t/3 - 800/3 = 0.
-20, -1, 1
Let 9*x**5 - 12*x**4 - 155*x**3/4 - 75*x**2/4 = 0. Calculate x.
-5/6, 0, 3
Factor -4*o**3 - 56*o**2 - 96*o.
-4*o*(o + 2)*(o + 12)
Factor -5*w**5 + 70*w**4 + 800*w**3 + 1760*w**2.
-5*w**2*(w - 22)*(w + 4)**2
Suppose 12*d**5 + 596*d**4 - 220*d**3 - 996*d**2 + 208*d + 400 = 0. What is d?
-50, -1, -2/3, 1
Factor 2*d**5 - 12*d**4 + 8*d**3 + 12*d**2 - 10*d.
2*d*(d - 5)*(d - 1)**2*(d + 1)
Factor 21*r**4/4 - 47937*r**3/4 + 36470925*r**2/4 - 9244508523*r/4 - 1322133243/2.
3*(r - 761)**3*(7*r + 2)/4
What is u in -4*u**5 - 62*u**4 - 80*u**3 + 56*u**2 = 0?
-14, -2, 0, 1/2
Factor -5*u**2 - 51140*u - 130764980.
-5*(u + 5114)**2
Find j, given that j**3 + 5*j**2 + 2*j - 8 = 0.
-4, -2, 1
Determine t, given that -45*t**2 - 1925*t + 430 = 0.
-43, 2/9
Suppose -h**2/2 + h/2 = 0. What is h?
0, 1
What is d in 2*d**3 - 2*d = 0?
-1, 0, 1
Factor 2*b**2/19 + 276*b/19 + 274/19.
2*(b + 1)*(b + 137)/19
Suppose 3*y**4 - 18*y**3 + 12*y**2 + 18*y - 15 = 0. Calculate y.
-1, 1, 5
Suppose 4*w**5/3 - 24*w**4 + 128*w**3/3 + 8*w**2/3 - 44*w + 64/3 = 0. Calculate w.
-1, 1, 16
Factor -7*t**2/5 + 43*t/5 - 6/5.
-(t - 6)*(7*t - 1)/5
Factor 15*o**4/2 - 543*o**3/4 - 513*o**2/4.
3*o**2*(o - 19)*(10*o + 9)/4
Factor -2*k**3/5 + 2*k**2/5 + 2*k/5 - 2/5.
-2*(k - 1)**2*(k + 1)/5
Suppose 2*h**2/7 - 1628*h/7 + 331298/7 = 0. What is h?
407
Find p such that -5*p**5 - 10*p**4 + 10*p**2 + 5*p = 0.
-1, 0, 1
Let 2*h**3/9 - 14*h/9 - 4/3 = 0. What is h?
-2, -1, 3
Factor -10*m**3 + 15*m**2 + 25*m - 30.
-5*(m - 2)*(m - 1)*(2*m + 3)
Let -3*k**3 + 54*k**2 - 123*k - 180 = 0. What is k?
-1, 4, 15
Factor a**2 - 18*a - 40.
(a - 20)*(a + 2)
Factor u**3/7 - 152*u**2/7 - 4*u/7 + 608/7.
(u - 152)*(u - 2)*(u + 2)/7
Determine k, given that -3*k**4 + 117*k**3 - 225*k**2 + 111*k = 0.
0, 1, 37
Let 2*g**2 + 756*g + 71442 = 0. What is g?
-189
Factor 3*f**3/7 + 3*f**2 - 12*f + 60/7.
3*(f - 2)*(f - 1)*(f + 10)/7
Determine v so that 4*v**3 - 5004*v**2 + 2086668*v - 290046852 = 0.
417
Solve -2*f**3 - 134*f**2 - 2176*f + 2312 = 0 for f.
-34, 1
Factor 3*x**4/5 - 33*x**3/5 + 78*x**2/5 - 48*x/5.
3*x*(x - 8)*(x - 2)*(x - 1)/5
Find a such that -6*a**5/11 + 8*a**4/11 + 2*a**3 - 32*a**2/11 + 8*a/11 = 0.
-2, 0, 1/3, 1, 2
Suppose 4*y**5 - 8*y**4 - 96*y**3 + 128*y**2 + 512*y = 0. What is y?
-4, -2, 0, 4
Factor 3*q**2/4 + 129*q/4 - 135/2.
3*(q - 2)*(q + 45)/4
Solve s**4/6 - 3*s**3/2 + 29*s**2/6 - 13*s/2 + 3 = 0 for s.
1, 2, 3
Factor 3*y**4 + 2013*y**3 - 6060*y**2 + 4044*y.
3*y*(y - 2)*(y - 1)*(y + 674)
Suppose 2*m**2 - 1894*m + 1892 = 0. Calculate m.
1, 946
Find b, given that -2*b**4 + 24*b**2 + 32*b = 0.
-2, 0, 4
Let q**4/2 - q**3 - q**2/2 + q = 0. What is q?
-1, 0, 1, 2
Factor 4*n**4 - 12*n**3 - 36*n**2 - 20*n.
4*n*(n - 5)*(n + 1)**2
Suppose p**5 + 10*p**4 + 11*p**3 - 70*p**2 = 0. What is p?
-7, -5, 0, 2
Solve 30*r**5 - 5*r**4 - 60*r**3 - 25*r**2 = 0 for r.
-1, -1/2, 0, 5/3
Factor -2*o**2/23 + 4*o/23 + 30/23.
-2*(o - 5)*(o + 3)/23
Factor 2*i**3/19 - 96*i**2/19 - 102*i/19 + 196/19.
2*(i - 49)*(i - 1)*(i + 2)/19
What is r in -3570*r**3 + 6155*r**2 + 1980*r - 20 = 0?
-2/7, 1/102, 2
Solve 3*b**3 + 114*b**2 + 1083*b = 0.
-19, 0
Solve 2*u**4 + 400*u**3 + 22476*u**2 + 236592*u - 259470 = 0.
-93, -15, 1
Find q such that -2*q**2 - 2892*q - 1045458 = 0.
-723
Let 6*m**2 - 3777*m + 1887 = 0. What is m?
1/2, 629
Suppose 2*c**2/5 - 4*c + 32/5 = 0. What is c?
2, 8
Factor -3*m**3 - 96*m**2 - 975*m - 3042.
-3*(m + 6)*(m + 13)**2
Factor -2*f**5/5 - 4*f**4 + 72*f**3/5 + 1296*f**2/5 + 3456*f/5.
-2*f*(f - 8)*(f + 6)**3/5
Let 3682992*g**3 + 3689640*g**2 + 6651*g + 3 = 0. What is g?
-1, -1/1108
Solve -2*r**4 + 2*r**3 + 2*r**2 - 2*r = 0.
-1, 0, 1
Factor 5*c**4 + 70*c**3 - 80*c**2 - 70*c + 75.
5*(c - 1)**2*(c + 1)*(c + 15)
Let -10*p**5 + 55*p**4 - 5*p**3 - 250*p**2 + 120*p = 0. Calculate p.
-2, 0, 1/2, 3, 4
Solve 27*u**5 + 216*u**4 + 177*u**3 - 96*u**2 - 84*u = 0 for u.
-7, -1, -2/3, 0, 2/3
Factor -3*b**4 + 24*b**3 + 216*b**2 + 480*b + 336.
-3*(b - 14)*(b + 2)**3
Factor -2*j**2/19 - 22*j/19 + 1044/19.
-2*(j - 18)*(j + 29)/19
Find j, given that 2*j**4 - 40*j**3 + 186*j**2 - 252*j = 0.
0, 3, 14
Factor 5*v**5 - 1960*v**4 + 1955*v**3.
5*v**3*(v - 391)*(v - 1)
Suppose 2*t**4/3 - 8*t**3/3 - 32*t**2/3 + 128*t/3 = 0. Calculate t.
-4, 0, 4
Factor y**3/2 - 2*y**2 - 21*y/2.
y*(y - 7)*(y + 3)/2
Factor -3*q**5/7 - 9*q**4/7 + 12*q**2/7.
-3*q**2*(q - 1)*(q + 2)**2/7
Factor -5*z**2 + 305*z + 310.
-5*(z - 62)*(z + 1)
Solve -2*s**4/3 + 16*s**3/3 - 14*s**2/3 = 0.
0, 1, 7
Factor -63*m**3/2 - 2643*m**2 - 55314*m + 5292.
-3*(m + 42)**2*(21*m - 2)/2
Factor 300*r**3 - 220*r**2 - 224*r/3 - 16/3.
4*(r - 1)*(15*r + 2)**2/3
Solve 2*p**2 + 120*p = 0 for p.
-60, 0
What is j in -5*j**2/6 + 2225*j/6 + 1115/3 = 0?
-1, 446
Factor -63*d**3 - 11245*d**2 + 5724*d - 716.
-(d + 179)*(7*d - 2)*(9*d - 2)
Factor -2*v**3/11 - 114*v**2/11 - 432*v/11 - 424/11.
-2*(v + 2)**2*(v + 53)/11
Solve -2*v**4 + 342*v**3 - 1330*v**2 - 1038*v + 6012 = 0 for v.
-2, 3, 167
Factor -2*a**5/11 - 6*a**4/11 + 48*a**3/11 - 56*a**2/11.
-2*a**2*(a - 2)**2*(a + 7)/11
Factor 3*w**3 - 9*w - 6.
3*(w - 2)*(w + 1)**2
Factor 2*q**4 - 48*q**3 - 1692*q**2 - 9152*q + 10890.
2*(q -