, 85
Factor -2*v**4/7 - 8*v**3/7 + 38*v**2/7 - 4*v.
-2*v*(v - 2)*(v - 1)*(v + 7)/7
Solve -2*k**3/3 + 22*k**2 - 42*k + 62/3 = 0.
1, 31
Determine w so that -3*w**2/4 - 201*w/4 + 315/2 = 0.
-70, 3
Factor 2*l**3 - 12*l**2 + 16*l.
2*l*(l - 4)*(l - 2)
What is z in 2*z**3/7 - 40*z**2/7 + 94*z/7 + 136/7 = 0?
-1, 4, 17
Let 2*s**5 - 120*s**4 + 3597*s**3/2 + 179*s**2/2 - 1320*s - 450 = 0. Calculate s.
-1/2, 1, 30
Find d such that -28*d**3 - 736*d**2 + 548*d + 216 = 0.
-27, -2/7, 1
Suppose 4*c**4 + 120*c**3 + 112*c**2 - 120*c - 116 = 0. What is c?
-29, -1, 1
Factor 5*j**2 + 30*j - 135.
5*(j - 3)*(j + 9)
Factor 5*b**4 - 45*b**3 + 40*b**2.
5*b**2*(b - 8)*(b - 1)
Suppose 3*k**2/8 - 555*k/8 + 69 = 0. Calculate k.
1, 184
Factor 368*x**2 + 1108*x + 12.
4*(x + 3)*(92*x + 1)
Find t, given that -4*t**5 + 40*t**4 - 32*t**3 - 40*t**2 + 36*t = 0.
-1, 0, 1, 9
Factor 2*w**3/7 - 68*w**2/7.
2*w**2*(w - 34)/7
Determine n, given that -4*n**2 - 88*n - 484 = 0.
-11
Factor -x**4 - 2198*x**3 - 1209997*x**2 - 2413404*x - 1205604.
-(x + 1)**2*(x + 1098)**2
Suppose 2*j**3/17 - 574*j**2/17 - 2*j/17 + 574/17 = 0. What is j?
-1, 1, 287
Solve -n**2 - 808*n/3 - 269/3 = 0 for n.
-269, -1/3
Factor 4*u**4 + 8*u**3 - 112*u**2 + 184*u - 84.
4*(u - 3)*(u - 1)**2*(u + 7)
Let 5*p**5 - 370*p**4 + 8600*p**3 - 48880*p**2 - 310960*p - 351520 = 0. Calculate p.
-2, 26
Factor -5*s**3 + 70*s**2 + 85*s - 1950.
-5*(s - 13)*(s - 6)*(s + 5)
Find m, given that 52*m**5 + 144*m**4 - 36*m**3 = 0.
-3, 0, 3/13
Let -c**3 + 18*c**2 - 59*c - 78 = 0. Calculate c.
-1, 6, 13
Find m such that m**4/2 + 101*m**3/2 - 103*m**2/2 - 101*m/2 + 51 = 0.
-102, -1, 1
Determine y so that -y**4 + 8*y**3 - 18*y**2 + 27 = 0.
-1, 3
Factor -2*f**3 - 70*f**2 + 72*f.
-2*f*(f - 1)*(f + 36)
Factor -p**4/7 + 704*p**3/7 - 1405*p**2/7 + 702*p/7.
-p*(p - 702)*(p - 1)**2/7
Factor 2*a**5/7 - 16*a**4/7 + 26*a**3/7 - 12*a**2/7.
2*a**2*(a - 6)*(a - 1)**2/7
What is m in -3*m**2 + 9018*m - 6777027 = 0?
1503
Factor -3*m**5 + 24*m**4 + 36*m**3 - 66*m**2 - 129*m - 54.
-3*(m - 9)*(m - 2)*(m + 1)**3
Let l**3/7 - l**2 - 150*l/7 + 936/7 = 0. What is l?
-12, 6, 13
Determine i so that -3364*i**4 + 7192*i**3 - 944*i**2 + 32*i = 0.
0, 2/29, 2
Factor 2*w**4 - 36*w**3 + 94*w**2 - 60*w.
2*w*(w - 15)*(w - 2)*(w - 1)
Factor -5*c**2 - 815*c - 810.
-5*(c + 1)*(c + 162)
Let -h**5/5 - 6*h**4 - 273*h**3/5 - 784*h**2/5 = 0. Calculate h.
-16, -7, 0
Determine i so that i**2/8 + 491*i/4 - 983/8 = 0.
-983, 1
Determine y, given that -3*y**2 - 456*y = 0.
-152, 0
Let -3*f**5 - 1499*f**4 - 3973*f**3 + 1503*f**2 + 5960*f - 1988 = 0. What is f?
-497, -2, 1/3, 1
Factor -l**4 - 318*l**3 - 1884*l**2 - 3752*l - 2496.
-(l + 2)**3*(l + 312)
Determine s so that -9*s**4/7 - 204*s**3/7 - 129*s**2/7 + 66*s/7 = 0.
-22, -1, 0, 1/3
Find w, given that -4*w**5 + 24*w**4 + 88*w**3 - 512*w**2 + 684*w - 280 = 0.
-5, 1, 2, 7
Factor 2*l**2 + 42*l + 40.
2*(l + 1)*(l + 20)
Factor 46*f**3 - 2*f**2.
2*f**2*(23*f - 1)
Factor 284*z**3 - 1428*z**2 - 1664*z + 48.
4*(z - 6)*(z + 1)*(71*z - 2)
Factor l**4/4 - 31*l**3/4 - 37*l**2/4 + 163*l/4 - 24.
(l - 32)*(l - 1)**2*(l + 3)/4
Factor 100*b**3 - 370*b**2 - 344*b - 72.
2*(2*b - 9)*(5*b + 2)**2
Suppose 6*f**3 - 26*f**2 + 4*f + 16 = 0. What is f?
-2/3, 1, 4
Factor -2*s**5/9 + 2*s**4/9 + 4*s**3/9 - 4*s**2/9 - 2*s/9 + 2/9.
-2*(s - 1)**3*(s + 1)**2/9
Factor 90*w**3 + 52*w**2 - 34*w + 4.
2*(w + 1)*(5*w - 1)*(9*w - 2)
What is x in -x**4/4 - 63*x**3/2 + 64*x**2 = 0?
-128, 0, 2
Find r such that r**5 - 7*r**4 + 19*r**3 - 25*r**2 + 16*r - 4 = 0.
1, 2
Let -35*z**5/4 - 90*z**4 - 625*z**3/4 + 50*z**2 + 165*z + 40 = 0. What is z?
-8, -2, -1, -2/7, 1
Solve -2*d**3 + 42*d**2 + 44*d = 0 for d.
-1, 0, 22
Find x, given that 3*x**3/8 + 69*x**2/8 - 123*x/4 - 39 = 0.
-26, -1, 4
What is y in -2*y**4/9 + 8*y**3/9 + 20*y**2/3 - 136*y/9 + 70/9 = 0?
-5, 1, 7
Let -3*c**4/4 - c**3/4 + 5*c**2 - 3*c = 0. What is c?
-3, 0, 2/3, 2
Factor 8*j**4 + 38*j**3 - 256*j**2 - 1410*j - 900.
2*(j - 6)*(j + 5)**2*(4*j + 3)
Let -5*a**2 - 70*a - 120 = 0. Calculate a.
-12, -2
Factor -a**4 + 2*a**3 + 3*a**2.
-a**2*(a - 3)*(a + 1)
Find s, given that -51*s**5 - 819*s**4 - 3312*s**3 - 192*s**2 = 0.
-8, -1/17, 0
Let -2*f**5/9 - 2*f**4/9 + 2*f**3/9 + 2*f**2/9 = 0. What is f?
-1, 0, 1
Determine h, given that -5*h**3 - 2125*h**2 + 5*h + 2125 = 0.
-425, -1, 1
Let g**3 + 594*g**2 + 117612*g + 7762392 = 0. What is g?
-198
Let 4*t**2/3 - 734*t/3 - 368/3 = 0. Calculate t.
-1/2, 184
Let -2*v**2 + 16844*v - 35465042 = 0. Calculate v.
4211
Solve -2*y**2/7 - 776*y/7 + 778/7 = 0.
-389, 1
Let 3*z**5/7 + 9*z**4/7 - 138*z**3/7 - 144*z**2/7 = 0. What is z?
-8, -1, 0, 6
Find k such that 2*k**2 + 466*k + 1832 = 0.
-229, -4
Determine y so that 3*y**3 + 186*y**2 + 363*y + 180 = 0.
-60, -1
Suppose 2*q**5 + 166*q**4 + 6885*q**3/2 - 166*q**2 - 6889*q/2 = 0. Calculate q.
-83/2, -1, 0, 1
Solve 4*j**3/7 - 8*j**2/7 - 52*j/7 - 40/7 = 0.
-2, -1, 5
Determine d, given that 5*d**3 + 5*d**2 - 45*d - 45 = 0.
-3, -1, 3
Factor 2*p**2/5 - 10182*p/5 - 10184/5.
2*(p - 5092)*(p + 1)/5
Let 750*n**5 + 175*n**4 - 795*n**3 - 278*n**2 + 108*n + 40 = 0. Calculate n.
-5/6, -2/5, 2/5, 1
Factor -5*p**2 + 40*p + 100.
-5*(p - 10)*(p + 2)
Let v**3/7 - 428*v**2 + 2241005*v/7 + 4494002/7 = 0. What is v?
-2, 1499
Let -3*d**3/8 - 6*d**2 + 51*d/8 = 0. Calculate d.
-17, 0, 1
Solve m**2/5 + 9*m + 164/5 = 0 for m.
-41, -4
Determine y, given that -22*y**3/3 + 2702*y**2/9 + 164*y/9 = 0.
-2/33, 0, 41
Let -u**4 - 29*u**3/4 - 47*u**2/4 - 5*u/2 = 0. Calculate u.
-5, -2, -1/4, 0
Factor -n**4/4 + 9*n**3 + n**2/4 - 9*n.
-n*(n - 36)*(n - 1)*(n + 1)/4
Suppose -10*y**2 + 85*y - 40 = 0. Calculate y.
1/2, 8
Factor -d**4/3 - 64*d**3/3 + 66*d**2 - 200*d/3 + 67/3.
-(d - 1)**3*(d + 67)/3
Solve -4*s**5 - 1152*s**4 - 3420*s**3 = 0.
-285, -3, 0
Factor 69*p**2/5 + 279*p/5 + 12/5.
3*(p + 4)*(23*p + 1)/5
Find x, given that -5*x**3 - 25*x**2 + 285*x - 495 = 0.
-11, 3
Find l, given that 3*l**3/5 - 45*l**2 - 714*l/5 + 936/5 = 0.
-4, 1, 78
What is n in -10*n**3/7 - 304*n**2/7 - 410*n/7 - 116/7 = 0?
-29, -1, -2/5
Factor s**3/3 + 11*s**2/3 + 31*s/3 + 7.
(s + 1)*(s + 3)*(s + 7)/3
Factor x**4/2 - 5*x**3 - 34*x**2 - 51*x - 45/2.
(x - 15)*(x + 1)**2*(x + 3)/2
Factor z**4/5 - 26*z**3/5 + 71*z**2/5 - 46*z/5.
z*(z - 23)*(z - 2)*(z - 1)/5
Factor 4*w**2 + 164*w - 344.
4*(w - 2)*(w + 43)
Factor 3*w**5 + 3*w**4 - 36*w**3.
3*w**3*(w - 3)*(w + 4)
Suppose -3*u**2/7 - 103*u/7 + 10 = 0. Calculate u.
-35, 2/3
Find p, given that p**2/4 + 145*p/2 + 21025/4 = 0.
-145
Factor 4*z**4 - 452*z**3 + 4528*z**2 - 4080*z.
4*z*(z - 102)*(z - 10)*(z - 1)
What is y in 15*y**3/7 + 348*y**2/7 + 372*y/7 - 528/7 = 0?
-22, -2, 4/5
Factor -2*m**4 - 2*m**3 + 6*m**2 + 2*m - 4.
-2*(m - 1)**2*(m + 1)*(m + 2)
Factor 2*q**2 - 836*q + 87362.
2*(q - 209)**2
Factor -5*o**2 - 80*o + 85.
-5*(o - 1)*(o + 17)
What is y in -2*y**3/7 - 104*y**2/7 + 330*y/7 = 0?
-55, 0, 3
Find j, given that -2*j**4 - 12*j**3 - 22*j**2 - 12*j = 0.
-3, -2, -1, 0
Solve 3*i**2 - 12*i - 63 = 0.
-3, 7
What is p in 4*p**3 + 128*p**2 + 244*p + 120 = 0?
-30, -1
Factor -4*x**5 + 12*x**4 + 88*x**3 - 360*x**2 + 108*x + 540.
-4*(x - 3)**3*(x + 1)*(x + 5)
Factor -2*y**5/5 - 2*y**4/5 + 2*y**3 - 6*y**2/5.
-2*y**2*(y - 1)**2*(y + 3)/5
Let m**4/9 + 11*m**3/3 - 107*m**2/3 + 287*m/9 = 0. What is m?
-41, 0, 1, 7
Let c**4 - 48*c**2 - 128*c = 0. What is c?
-4, 0, 8
Factor 3*n**2/5 - 7656*n/5 + 4884528/5.
3*(n - 1276)**2/5
Determine w, given that -9*w**4 - 69*w**3 + 105*w**2 - 27*w = 0.
-9, 0, 1/3, 1
Factor -m**4 + 58*m**3 - 840*m**2 - 58*m + 841.
-(m - 29)**2*(m - 1)*(m + 1)
Factor 3*u**5/4 - 21*u**4/4 + 27*u**3/2 - 15*u**2 + 6*u.
3*u*(u - 2)**3*(u - 1)/4
Solve -2*a**5 + 22*a**4/7 + 12*a**3/7 - 4*a**2 + 2*a/7 + 6/7 = 0.
-1, -3/7, 1
Find m, given that 2*m**5/3 - 8*m**4/3 - 22*m**3/3 - 4*m**2 = 0.
-1, 0, 6
Solve v**4 - 2640*v**3 + 1742400*v**2 = 0.
0, 1320
Find k such that -k**2 - k + 6 = 0.
-3, 2
Solve -2*r**5 - 6*r**4 + 82*r**3 + 174*r**2 - 80*r - 168 = 0 for r.
-7, -2, -1, 1, 6
Let -2*m**3/21 - 12*m**2/7 - 22*m/3 - 40/7 = 0. What is m?
-12, -5, -1
Factor -7*k**4 + 44*k**3 + 93*k**2 + 26*k - 16.
-(k - 8)*(k + 1)**2*(7*k - 2)
Suppose -5*h**5/2 - 55*h**4 + 655*h**3/2 - 270*h**2 = 0. Calculate h.
-27, 0, 1, 4
Factor -2*o**3 + 216*o**2 - 5376*o - 25088.
-2*(o - 56)**2*(o + 4)
Suppose 4*j**2 + 34