*r**2 + 2*r.
2*r*(r - 1)*(r + 1)*(3*r - 1)
Suppose -a**5 + 6*a**4 + 36*a**3 - 58*a**2 - 195*a - 108 = 0. What is a?
-4, -1, 3, 9
Factor -5*v**3 + 4600*v**2 + 5*v - 4600.
-5*(v - 920)*(v - 1)*(v + 1)
Suppose j**4 + 47*j**3 + 645*j**2 + 2453*j - 3146 = 0. Calculate j.
-26, -11, 1
Factor -3*d**2 + 84*d - 588.
-3*(d - 14)**2
Let 2*f**4 + 20*f**3 - 32*f**2 - 320*f = 0. What is f?
-10, -4, 0, 4
Factor -2*y**3 - 18*y**2 + 32*y + 120.
-2*(y - 3)*(y + 2)*(y + 10)
Factor 4*c**4 + 92*c**3 + 240*c**2.
4*c**2*(c + 3)*(c + 20)
Determine i so that -4*i**3 - 204*i**2 + 232*i + 1248 = 0.
-52, -2, 3
What is i in -i**3 + 57*i**2/11 + 254*i/11 - 48/11 = 0?
-3, 2/11, 8
Suppose -49*m**4/2 + 35*m**3 + 199*m**2/2 + 46*m + 6 = 0. Calculate m.
-1, -2/7, 3
Factor -2*x**3 - 632*x**2 - 2504*x - 2496.
-2*(x + 2)**2*(x + 312)
Find f, given that 5*f**4 - 40*f**2 + 80 = 0.
-2, 2
Let -y**2 + 316*y = 0. What is y?
0, 316
Suppose o**3/4 + 11*o**2/4 = 0. What is o?
-11, 0
Factor -4*g**3 - 164*g**2 - 1760*g - 1600.
-4*(g + 1)*(g + 20)**2
Factor f**2/5 + 288*f/5 + 20736/5.
(f + 144)**2/5
Find v such that -v**3/11 - 25*v**2/11 - 8*v - 84/11 = 0.
-21, -2
Determine u so that -u**2 + 55*u + 56 = 0.
-1, 56
Factor -4*i**4 - 36*i**3 - 8*i**2 + 336*i - 288.
-4*(i - 2)*(i - 1)*(i + 6)**2
Find g, given that -g**4/5 - 6*g**3/5 - 11*g**2/5 - 6*g/5 = 0.
-3, -2, -1, 0
Factor 2*l**2/3 - 68*l/3 - 304/3.
2*(l - 38)*(l + 4)/3
Factor -5*a**5 - 90*a**4.
-5*a**4*(a + 18)
Let 2*w**3/7 + 28*w**2 + 386*w/7 + 192/7 = 0. Calculate w.
-96, -1
Suppose -12*o**4 + 1256*o**3 - 33280*o**2 + 21632*o = 0. What is o?
0, 2/3, 52
Suppose 2*r**5/13 - 22*r**4/13 - 58*r**3/13 + 62*r**2/13 + 200*r/13 + 8 = 0. What is r?
-2, -1, 2, 13
Let -o**5/6 - 2*o**4/3 + o**3 + 2*o**2/3 - 5*o/6 = 0. Calculate o.
-5, -1, 0, 1
What is g in 2*g**2/3 - 70*g - 3872/3 = 0?
-16, 121
Factor -5*x**4 - 255*x**3 - 1455*x**2 + 3695*x - 1980.
-5*(x - 1)**2*(x + 9)*(x + 44)
Factor -2*v**4 + 12*v**3 - 18*v**2.
-2*v**2*(v - 3)**2
Factor -2*h**3/25 + 18*h**2/25 - 54*h/25 + 54/25.
-2*(h - 3)**3/25
Factor 2*l**3/9 + 16*l**2/9 + 38*l/9 + 8/3.
2*(l + 1)*(l + 3)*(l + 4)/9
Suppose -x**3/10 + 21*x**2/5 - 288*x/5 + 256 = 0. What is x?
10, 16
Suppose 72*v**4/13 - 218*v**3/13 - 642*v**2/13 - 342*v/13 + 10/13 = 0. Calculate v.
-1, 1/36, 5
Find r such that -196*r**5 - 84*r**4 + 8720*r**3 + 11520*r**2 - 8704*r + 1344 = 0.
-6, -2, 2/7, 7
Let -4*k**5/3 - 8*k**4/3 + 16*k**3/3 + 32*k**2/3 = 0. Calculate k.
-2, 0, 2
Solve -f**5/5 + 18*f**4/5 - 16*f**3/5 - 18*f**2/5 + 17*f/5 = 0 for f.
-1, 0, 1, 17
Factor q**4 + 27*q**3 - 189*q**2 + 293*q - 132.
(q - 4)*(q - 1)**2*(q + 33)
Factor 5*a**4 - 55*a**3 - 60*a**2.
5*a**2*(a - 12)*(a + 1)
Factor 4*s**2 + 448*s + 12544.
4*(s + 56)**2
Determine i, given that i**5/2 + 8*i**4 - 2027*i**3/2 - 7333*i**2 + 555296*i - 1073296 = 0.
-37, 2, 28
Factor -n**2/7 + 64*n/7 - 9.
-(n - 63)*(n - 1)/7
Factor -2*y**3/5 + 292*y**2/5 - 10944*y/5 + 20736/5.
-2*(y - 72)**2*(y - 2)/5
Factor -r**3/6 + 11*r**2/2 - 105*r/2 + 225/2.
-(r - 15)**2*(r - 3)/6
Let 2*q**5/5 + 48*q**4/5 - 158*q**3/5 + 108*q**2/5 = 0. Calculate q.
-27, 0, 1, 2
Factor -20*m**3 + 35*m**2 + 100*m - 180.
-5*(m - 2)**2*(4*m + 9)
Factor 3*v**2 - 5934*v + 2934363.
3*(v - 989)**2
Factor -2*l**2/5 - 6*l/5 + 8/5.
-2*(l - 1)*(l + 4)/5
Find y such that -18*y**3 + 34*y**2 - 14*y - 2 = 0.
-1/9, 1
Solve -3*l**2 - 11454*l - 10932843 = 0 for l.
-1909
Factor -x**3/5 - 58*x**2/5 - 113*x/5 - 56/5.
-(x + 1)**2*(x + 56)/5
Factor 4*z**4 - 356*z**3 + 2940*z**2 - 4700*z - 8000.
4*(z - 80)*(z - 5)**2*(z + 1)
Suppose g**5/6 + 1745*g**4/3 + 2284640*g**3/3 + 1330672000*g**2/3 + 291744133120*g/3 + 578183827456/3 = 0. What is g?
-872, -2
Let 4*b**4/13 + 2*b**3 + 16*b**2/13 - 96*b/13 = 0. What is b?
-4, 0, 3/2
Factor -o**5/5 - o**4/5 + o**3/5 + o**2/5.
-o**2*(o - 1)*(o + 1)**2/5
Let 4*o**3/7 + 584*o**2/7 + 572*o/7 - 1160/7 = 0. What is o?
-145, -2, 1
Factor i**4/4 - 5*i**3/4 + 3*i**2/2.
i**2*(i - 3)*(i - 2)/4
Find a, given that -3*a**2 + 132*a - 1452 = 0.
22
Determine g, given that 5*g**2 + 355*g/2 + 175/2 = 0.
-35, -1/2
Determine k so that -4*k**4/5 + 2*k**3/5 + 2*k**2 - 2*k/5 - 6/5 = 0.
-1, 1, 3/2
Factor 3*p**2/4 - 219*p/2 - 441/4.
3*(p - 147)*(p + 1)/4
Factor -3*s**3 + 72*s**2 - 540*s + 1200.
-3*(s - 10)**2*(s - 4)
Factor w**2 - 32*w.
w*(w - 32)
Determine q, given that q**5/2 - 39*q**4/4 + 41*q**3 - 129*q**2/4 - 83*q/2 + 42 = 0.
-1, 1, 3/2, 4, 14
Factor -5*q**3 - 25*q**2 + 5*q + 25.
-5*(q - 1)*(q + 1)*(q + 5)
Factor 2*n**4 + 212*n**3 + 5826*n**2 + 11024*n + 5408.
2*(n + 1)**2*(n + 52)**2
Let -z**2/2 - 1067*z/6 + 178/3 = 0. Calculate z.
-356, 1/3
Let -4*s**5 + 33*s**4 + 172*s**3 + 99*s**2 - 36*s = 0. Calculate s.
-3, -1, 0, 1/4, 12
Determine z, given that -5*z**3/2 + 265*z**2/2 + 565*z/2 - 825/2 = 0.
-3, 1, 55
Factor -y**3/5 - 612*y**2/5.
-y**2*(y + 612)/5
Factor -z**2/2 - 2*z + 6.
-(z - 2)*(z + 6)/2
Factor 2*t**3/9 + 374*t**2/9.
2*t**2*(t + 187)/9
Determine j so that 5*j**2 + 80*j + 140 = 0.
-14, -2
Factor 2*p**3/7 - 32*p**2/7 - 110*p/7 - 76/7.
2*(p - 19)*(p + 1)*(p + 2)/7
Let 6*l**3 - 374*l**2 + 1186*l - 354 = 0. What is l?
1/3, 3, 59
Solve -2*j**3 + 12*j**2 + 50*j + 36 = 0.
-2, -1, 9
Factor 2*d**2/7 + 2640*d/7 + 871200/7.
2*(d + 660)**2/7
Factor -2*h**2 - 848*h - 89888.
-2*(h + 212)**2
Factor 3*m**3/8 - 45*m**2/4 + 387*m/8 - 75/2.
3*(m - 25)*(m - 4)*(m - 1)/8
Factor -2*c**2/5 + 166*c/5 + 168/5.
-2*(c - 84)*(c + 1)/5
Factor -k**3/4 - 153*k**2/4 - 1482*k - 1444.
-(k + 1)*(k + 76)**2/4
Determine k so that 2*k**2/23 + 374*k/23 + 372/23 = 0.
-186, -1
Factor -q**4/5 + 29*q**3/5 + 93*q**2/5 + 19*q + 32/5.
-(q - 32)*(q + 1)**3/5
Solve 4*j**4 + 32*j**3 - 40*j**2 - 32*j + 36 = 0 for j.
-9, -1, 1
Factor -2*f**2/11 + 300*f/11 - 2800/11.
-2*(f - 140)*(f - 10)/11
Factor -c**2/2 + 44*c + 89/2.
-(c - 89)*(c + 1)/2
Factor 13*k**2 - 713*k - 110.
(k - 55)*(13*k + 2)
Factor 2*o**2/13 + 164*o/13 - 1056/13.
2*(o - 6)*(o + 88)/13
Let -3*p**3/8 - 123*p**2/4 - 5043*p/8 = 0. Calculate p.
-41, 0
Let -819*c**3 + 813*c**2 + 6*c = 0. What is c?
-2/273, 0, 1
Factor 2*v**3 - 68*v**2 + 128*v.
2*v*(v - 32)*(v - 2)
Let 3*j**2/5 - 144*j/5 + 1728/5 = 0. Calculate j.
24
Factor 2*s**3 - 18*s**2 + 12*s + 32.
2*(s - 8)*(s - 2)*(s + 1)
Suppose -5*j**3 + 35*j**2 - 60*j = 0. Calculate j.
0, 3, 4
Factor 182405*o**2 + 5730*o + 45.
5*(191*o + 3)**2
What is s in 4*s**4 + 196*s**3 + 2300*s**2 - 2500*s = 0?
-25, 0, 1
Factor w**4/2 - 46*w**3 + 1103*w**2 - 2070*w + 2025/2.
(w - 45)**2*(w - 1)**2/2
Solve -v**5 + 17*v**4 + 81*v**3 + 63*v**2 = 0 for v.
-3, -1, 0, 21
Factor -3*f**5/4 + 171*f**4/4 - 2349*f**3/4 - 2523*f**2/4.
-3*f**2*(f - 29)**2*(f + 1)/4
Solve -3*q**4 - 27*q**3 + 51*q**2 + 567*q - 588 = 0 for q.
-7, 1, 4
Factor -a**2 + 5*a + 14.
-(a - 7)*(a + 2)
Determine l so that 2*l**3 + 10*l**2 - 224*l - 1408 = 0.
-8, 11
Find k such that k**5/5 - k**3/5 = 0.
-1, 0, 1
Find r such that 10*r**3 - 125*r**2 + 265*r - 150 = 0.
1, 3/2, 10
Factor -r**2/6 + 1901*r/6 - 949.
-(r - 1898)*(r - 3)/6
Solve n**3/3 + 280*n**2/3 + 20672*n/3 + 147968/3 = 0.
-136, -8
Suppose 2*t**5 - 16*t**4 + 50*t**3 - 76*t**2 + 56*t - 16 = 0. Calculate t.
1, 2
What is k in k**2/4 - 253*k + 64009 = 0?
506
Suppose -7*d**2/4 - 214*d - 61 = 0. What is d?
-122, -2/7
Determine n, given that -2*n**4/11 - 68*n**3/11 - 64*n**2/11 + 68*n/11 + 6 = 0.
-33, -1, 1
Factor -w**2/4 - 107*w/4.
-w*(w + 107)/4
Factor 2*o**2 + 54*o + 184.
2*(o + 4)*(o + 23)
Suppose 5*s**4 - 33*s**3 - 39*s**2 + 365*s + 150 = 0. Calculate s.
-3, -2/5, 5
Suppose x**2 - 171*x - 522 = 0. What is x?
-3, 174
Find q, given that 6*q**4/11 + 2*q**3/11 - 6*q**2/11 - 2*q/11 = 0.
-1, -1/3, 0, 1
Let -m**5/3 - 2*m**4/3 + 6*m**3 + 4*m**2/3 - 49*m/3 + 10 = 0. What is m?
-5, -2, 1, 3
Factor -2*h**2/3 - 14*h - 76/3.
-2*(h + 2)*(h + 19)/3
Determine h, given that -h**5 - 7*h**4 - 15*h**3 - 13*h**2 - 4*h = 0.
-4, -1, 0
Factor -2*y**2 - 200*y - 5000.
-2*(y + 50)**2
Suppose s**4 - 5*s**3 + 4*s**2 = 0. Calculate s.
0, 1, 4
Factor 5*a**5 - 40*a**3 + 80*a.
5*a*(a - 2)**2*(a + 2)**2
Factor -3*x**4 + 36*x**3 + 231*x**2 + 396*x + 204.
-3*(x - 17)*(x + 1)*(x + 2)**2
Find q such that 5*q**2 - 2620*q + 343220 = 0.
262
Factor 2*r**2/3 - 182*r/3 + 60.
2*(r - 90)*(r - 1)/3
Find o, given that -11*o**3 - 133*o**2 + 144 = 0.
-12, -12/11, 1
Solve -5*y**3 - 575*y**2