3
Factor q**3 - 25*q**2 + 68*q - 44.
(q - 22)*(q - 2)*(q - 1)
Factor -2*q**2 - 34*q - 60.
-2*(q + 2)*(q + 15)
What is m in -2*m**2/11 + 3380*m/11 - 1428050/11 = 0?
845
Solve -3*b**5/4 + 39*b**4/4 - 12*b**3 - 141*b**2 - 48*b + 192 = 0 for b.
-2, 1, 8
Factor 3*m**3/2 - 7*m**2/2 - 9*m - 4.
(m - 4)*(m + 1)*(3*m + 2)/2
Determine h so that h**4/2 - 39*h**3/2 - 123*h**2/2 - 125*h/2 - 21 = 0.
-1, 42
Suppose -2*o**5/5 - 2*o**4 + 22*o**3/5 + 66*o**2/5 + 36*o/5 = 0. Calculate o.
-6, -1, 0, 3
Factor u**2/3 - 82*u/3 - 83/3.
(u - 83)*(u + 1)/3
Suppose 4*b**2 - 96*b = 0. What is b?
0, 24
Factor 4*j**2 - 120*j - 256.
4*(j - 32)*(j + 2)
Find k such that k**3/2 - 3*k**2 - 15*k/2 + 50 = 0.
-4, 5
Factor 5*h**3 + 29*h**2 - 6*h.
h*(h + 6)*(5*h - 1)
Solve -3*q**3 - 9*q**2 + 12*q = 0 for q.
-4, 0, 1
Determine c, given that -c**2/2 - 672*c - 225792 = 0.
-672
Determine f, given that 3*f**3 - 15*f**2 + 6*f + 24 = 0.
-1, 2, 4
Let p**5/3 - 10*p**4/3 - 2*p**3/3 + 20*p**2/3 + p/3 - 10/3 = 0. Calculate p.
-1, 1, 10
Find p, given that -3*p**3 - 24*p**2 + 9*p + 270 = 0.
-6, -5, 3
Suppose 2*f**4/7 + 34*f**3/7 = 0. Calculate f.
-17, 0
Factor -5*m**5 - 55*m**4 - 210*m**3 - 270*m**2 + 135*m + 405.
-5*(m - 1)*(m + 3)**4
Solve -5*y**4 - 45*y**3 - 110*y**2 + 160 = 0.
-4, -2, 1
Find t, given that -t**4/8 + 27*t**3/8 - 45*t**2/8 - 131*t/8 + 75/4 = 0.
-2, 1, 3, 25
Suppose -4*t**2 - 984*t - 60516 = 0. What is t?
-123
Find n, given that 5*n**5/4 - 15*n**4/2 - 495*n**3/4 + 405*n**2 + 3645*n = 0.
-6, 0, 9
Factor 4*k**3 + 92*k**2 + 704*k + 1792.
4*(k + 7)*(k + 8)**2
Solve 3*k**5 - 6*k**4 - 57*k**3 + 96*k**2 + 252*k - 432 = 0 for k.
-3, 2, 4
Suppose -4*d**2 - 220*d - 216 = 0. Calculate d.
-54, -1
Factor 2*h**3/17 + 2*h**2/17 - 32*h/17 + 40/17.
2*(h - 2)**2*(h + 5)/17
Find q, given that q**4/4 - q**3/4 - 13*q**2/4 + 25*q/4 - 3 = 0.
-4, 1, 3
Factor -5*u**3 - 4325*u**2.
-5*u**2*(u + 865)
Let -4*i**2 + 10304*i - 6635776 = 0. Calculate i.
1288
Solve -s**2/2 + 112*s/3 - 781/6 = 0.
11/3, 71
Factor -136*j**2 + 804*j + 72.
-4*(j - 6)*(34*j + 3)
Let -3*l**3/4 + 117*l**2/4 - 270*l - 300 = 0. Calculate l.
-1, 20
Suppose -44*i**3 + 80*i**2 + 16*i = 0. Calculate i.
-2/11, 0, 2
Determine t so that 10*t**4 + 145*t**3 - 80*t**2 - 75*t = 0.
-15, -1/2, 0, 1
Suppose -15*l**5 + 100*l**4 + 165*l**3 - 30*l**2 - 80*l = 0. What is l?
-1, 0, 2/3, 8
Determine c so that -12*c**3 + 268*c**2 - 80*c - 176 = 0.
-2/3, 1, 22
Find n, given that -n**3/6 - 17*n**2 = 0.
-102, 0
Factor 3*n**2 + 771*n/4 + 48.
3*(n + 64)*(4*n + 1)/4
Factor -4*c**4 - 12*c**3 + 36*c**2 - 20*c.
-4*c*(c - 1)**2*(c + 5)
Determine t, given that -5*t**2/9 + 1024*t/9 + 412/3 = 0.
-6/5, 206
Factor -5*m**3 - 55*m**2 + 145*m + 195.
-5*(m - 3)*(m + 1)*(m + 13)
Find i such that -5*i**2 + 10070*i - 10065 = 0.
1, 2013
Factor p**5/7 - 3*p**3/7 + 2*p**2/7.
p**2*(p - 1)**2*(p + 2)/7
Determine d, given that -8*d**5/23 - 78*d**4/23 - 172*d**3/23 + 128*d**2/23 + 180*d/23 - 50/23 = 0.
-5, -1, 1/4, 1
Determine i so that 2*i**4/11 + 92*i**3/11 + 498*i**2/11 - 12880*i/11 + 39200/11 = 0.
-28, 5
Find y, given that 2*y**5 - 18*y**4 - 170*y**3 - 150*y**2 = 0.
-5, -1, 0, 15
Solve -2*i**4/7 + 2*i**3/7 + 152*i**2/7 + 40*i = 0.
-7, -2, 0, 10
Let 605*a**4 - 12760*a**3 + 13380*a**2 - 3600*a = 0. Calculate a.
0, 6/11, 20
Factor -6*r**4 + 14*r**3 + 16*r**2 - 40*r.
-2*r*(r - 2)**2*(3*r + 5)
Let 2*p**4 + 70*p**3/3 + 458*p**2/9 + 238*p/9 + 4 = 0. What is p?
-9, -2, -1/3
What is d in d**4 - 7*d**3 - d**2 + 7*d = 0?
-1, 0, 1, 7
Let -f**3/2 - 25*f**2/2 - 187*f/2 - 363/2 = 0. Calculate f.
-11, -3
Solve -29*h**3/6 - 59*h**2/6 - 31*h/6 - 1/6 = 0.
-1, -1/29
Factor -2*k**2/9 + 22*k/9.
-2*k*(k - 11)/9
Factor d**2/3 - 2*d/3 + 1/3.
(d - 1)**2/3
Factor 2*a**4 - 18*a**2 - 8*a + 24.
2*(a - 3)*(a - 1)*(a + 2)**2
Determine z, given that 3*z**5 - 141*z**4 - 153*z**3 + 429*z**2 + 150*z - 288 = 0.
-2, -1, 1, 48
Factor -4*d**4 - 2356*d**3 - 460980*d**2 - 29650076*d + 61162984.
-4*(d - 2)*(d + 197)**3
Let x**4 - 48*x**3 - 50*x**2 + 48*x + 49 = 0. What is x?
-1, 1, 49
Suppose 25*h**5 + 1140*h**4 + 615*h**3 - 2680*h**2 + 900*h = 0. Calculate h.
-45, -2, 0, 2/5, 1
Let -2*w**2/11 + 2*w/11 = 0. What is w?
0, 1
Solve 5*c**2 - 140*c - 1225 = 0 for c.
-7, 35
Suppose -2*r**2/11 - 328*r/11 = 0. What is r?
-164, 0
Factor -2*u**2/13 - 670*u/13 + 672/13.
-2*(u - 1)*(u + 336)/13
Factor 5*o**4 + 285*o**3 - 290*o**2.
5*o**2*(o - 1)*(o + 58)
Solve 3*q**4 - 211*q**3 + 3745*q**2 - 1225*q = 0 for q.
0, 1/3, 35
Let -a**2/5 + 506*a - 320045 = 0. Calculate a.
1265
What is w in 5*w**4 + 30*w**3 - 155*w**2 - 120*w + 540 = 0?
-9, -2, 2, 3
Factor 3*d**2/2 + 179*d/2 + 88.
(d + 1)*(3*d + 176)/2
Find m such that -4*m**5 + 16*m**3 + 8*m**2 - 12*m - 8 = 0.
-1, 1, 2
Find w such that 2*w**5 - 4*w**4 - 116*w**3 - 104*w**2 + 114*w + 108 = 0.
-6, -1, 1, 9
Factor y**4 + 4*y**3 - 75*y**2 - 50*y + 1000.
(y - 5)**2*(y + 4)*(y + 10)
Solve y**5 - 10*y**4 + 14*y**3 + 88*y**2 - 183*y + 90 = 0 for y.
-3, 1, 5, 6
Determine i so that 2*i**2 + 1122*i - 2252 = 0.
-563, 2
Factor -5*r**3/6 + 35*r**2/6 + 15*r.
-5*r*(r - 9)*(r + 2)/6
Factor o**3/6 - o**2/3 - 5*o/6 + 1.
(o - 3)*(o - 1)*(o + 2)/6
Suppose 20*i**4 + 220*i**3 + 705*i**2 + 550*i + 125 = 0. What is i?
-5, -1/2
Factor -r**2/7 - 51*r/7 - 14.
-(r + 2)*(r + 49)/7
Factor s**3 + 68*s**2 + 124*s - 528.
(s - 2)*(s + 4)*(s + 66)
Factor 4*y**3 + 44*y**2 - 104*y.
4*y*(y - 2)*(y + 13)
Suppose 2*y**3/19 + 26*y**2/19 - 2*y/19 - 26/19 = 0. Calculate y.
-13, -1, 1
Find t, given that -5*t**2/3 + 40*t/3 - 35/3 = 0.
1, 7
Suppose m**4 - 10*m**3 - 11*m**2 = 0. Calculate m.
-1, 0, 11
What is q in -2*q**2 + 124*q + 126 = 0?
-1, 63
Factor 5*l**4 - 30*l**3.
5*l**3*(l - 6)
Determine q, given that -3*q**5 + 39*q**4 + 6*q**3 - 78*q**2 - 3*q + 39 = 0.
-1, 1, 13
Factor -5*t**2 - 30*t - 25.
-5*(t + 1)*(t + 5)
Find v, given that -5*v**3 + 40*v**2 + 45*v = 0.
-1, 0, 9
Determine s, given that -5*s**3 - 6500*s**2 - 2112500*s = 0.
-650, 0
What is i in -2*i**5/13 + 62*i**4/13 - 720*i**3/13 + 3896*i**2/13 - 9920*i/13 + 9600/13 = 0?
3, 4, 10
Suppose -2*o**4/5 + 44*o**3/5 - 58*o**2 + 120*o = 0. Calculate o.
0, 5, 12
Determine o so that -2*o**2/5 - 2*o/5 + 112/5 = 0.
-8, 7
Factor 2*x**4 + 140*x**3 + 406*x**2 + 268*x.
2*x*(x + 1)*(x + 2)*(x + 67)
Find x, given that -27*x**3 + 360*x**2 - 1236*x + 672 = 0.
2/3, 14/3, 8
Suppose -5*t**5 + 360*t**4 - 355*t**3 = 0. Calculate t.
0, 1, 71
Let -10*h**5 + 28*h**4 - 4*h**3 - 32*h**2 + 14*h + 4 = 0. Calculate h.
-1, -1/5, 1, 2
Factor -p**5 + 5*p**4 - 2*p**3 - 8*p**2.
-p**2*(p - 4)*(p - 2)*(p + 1)
Suppose -3*k**4/8 - 63*k**3/8 + 135*k**2/8 - 69*k/8 = 0. What is k?
-23, 0, 1
Find c such that -2*c**5/9 + 10*c**3/9 - 8*c/9 = 0.
-2, -1, 0, 1, 2
Determine l, given that 6*l**4/11 - 12*l**3/11 - 288*l**2/11 + 1344*l/11 - 1536/11 = 0.
-8, 2, 4
Determine a, given that 3*a**4/7 + 15*a**3 + 477*a**2/7 - 183*a + 696/7 = 0.
-29, -8, 1
Solve -2*n**2 - 208*n - 5408 = 0 for n.
-52
Suppose -2*z**4/5 + 64*z**3/5 = 0. What is z?
0, 32
Solve -a**2/6 - 145*a/6 - 204 = 0 for a.
-136, -9
Let -3*w**3 - 3*w**2 + 36*w = 0. What is w?
-4, 0, 3
Factor -4*s**3/3 + 392*s**2/3 - 4172*s/3 + 3784/3.
-4*(s - 86)*(s - 11)*(s - 1)/3
Determine d, given that 2*d**2 - 18 = 0.
-3, 3
Factor 3*i**4/4 + 45*i**3/4.
3*i**3*(i + 15)/4
Factor -14*a**3 + 4894*a**2 - 19552*a/7 + 2792/7.
-2*(a - 349)*(7*a - 2)**2/7
Find w, given that 3*w**4/5 - 9*w**3/5 + 9*w**2/5 - 3*w/5 = 0.
0, 1
Factor -2*d**2/15 - 46*d/15.
-2*d*(d + 23)/15
Factor v**3/2 - 113*v**2/10 + 202*v/5 + 18.
(v - 18)*(v - 5)*(5*v + 2)/10
What is c in -10*c**2/7 + 22*c/7 - 4/7 = 0?
1/5, 2
Factor -a**3/4 - 7*a**2/2 + 17*a - 18.
-(a - 2)**2*(a + 18)/4
Solve -d**2/9 + 47*d/9 + 98/9 = 0.
-2, 49
Factor -q**2/6 - 47*q/6 - 23/3.
-(q + 1)*(q + 46)/6
Factor m**4/5 - 3*m**3/5 - 9*m**2 + 35*m.
m*(m - 5)**2*(m + 7)/5
Find m, given that -5*m**4 - 35*m**3 - 70*m**2 - 40*m = 0.
-4, -2, -1, 0
Find s such that -2*s**5 - 26*s**4 + 106*s**3 + 1162*s**2 - 4928*s + 4840 = 0.
-11, 2, 5
Factor 5*f**4 + 115*f**3 + 215*f**2 + 105*f.
5*f*(f + 1)**2*(f + 21)
Determine w so that 2*w**5 + 169*w**4 + 81*w**3 - 253*w**2 - 83*w + 84 = 0.
-84, -1, 1/2, 1
Suppose 5*l**5 + 30*l**4 - 75*l**3 + 40*l**2 = 0. Calculate l.
-8, 0, 1
Factor -34*a**3/15 - 8*a**2/3 - 2*a/5.
-2*a*(a + 1)*(17*a + 3)/15
Factor 2*g**4/7 - 16*g**3/7 + 40