ctor 4*r**4/7 + 1096*r**3/7 + 76164*r**2/7 + 149056*r/7 + 73984/7.
4*(r + 1)**2*(r + 136)**2/7
Factor 5*m**5 + 115*m**4 + 945*m**3 + 3185*m**2 + 3430*m.
5*m*(m + 2)*(m + 7)**3
Factor 80*a**3 + 28920*a**2 - 14475*a + 1810.
5*(a + 362)*(4*a - 1)**2
Determine a, given that -a**2 - 99*a = 0.
-99, 0
Find l such that -l**2/5 + 1/5 = 0.
-1, 1
Factor 2*k**4/5 - 6*k**3/5 - 2*k**2/5 + 6*k/5.
2*k*(k - 3)*(k - 1)*(k + 1)/5
Find j such that -j**4/2 + j**3/2 + 9*j**2/2 - 9*j/2 = 0.
-3, 0, 1, 3
Find y, given that -y**5 - 61*y**4 - 955*y**3 - 603*y**2 + 4320*y - 2700 = 0.
-30, -3, 1
Factor -m**2/4 - 3*m/4 - 1/2.
-(m + 1)*(m + 2)/4
Factor -4*p**2/5 + 11072*p - 38309120.
-4*(p - 6920)**2/5
Find j, given that -j**4/4 + 180*j**3 + 723*j**2/4 - 721*j/2 = 0.
-2, 0, 1, 721
Factor 2*u**2/9 - 2*u.
2*u*(u - 9)/9
What is t in 2*t**4 + 260*t**3 + 8448*t**2 - 260*t - 8450 = 0?
-65, -1, 1
Solve 2*c**2/5 - 212*c/5 + 5618/5 = 0.
53
Suppose -15*i**5 - 168*i**4 - 183*i**3 + 1050*i**2 + 216*i = 0. Calculate i.
-9, -4, -1/5, 0, 2
Determine k so that -5*k**4 - 35*k**3 - 40*k**2 + 80*k = 0.
-4, 0, 1
Suppose 5*u**3 + 50*u**2 + 140*u + 120 = 0. Calculate u.
-6, -2
Factor -b**3/3 + 10*b**2 + 21*b + 32/3.
-(b - 32)*(b + 1)**2/3
Let 2*j**3/3 + 2*j**2 - 4*j - 16/3 = 0. Calculate j.
-4, -1, 2
Factor a**2/5 - 13*a/5 + 36/5.
(a - 9)*(a - 4)/5
Determine j so that 2*j**3 + 328*j**2 + 12768*j - 56448 = 0.
-84, 4
Factor 2*s**2/11 + 252*s/11 + 7938/11.
2*(s + 63)**2/11
What is j in -15*j**4/2 + 273*j**3 - 108*j**2 = 0?
0, 2/5, 36
Factor -t**2/4 - 7*t/2 - 6.
-(t + 2)*(t + 12)/4
Factor c**4/8 - 379*c**3/8 + 4465*c**2 + 9025*c/2.
c*(c - 190)**2*(c + 1)/8
Factor -c**3/2 + 4*c**2 - 13*c/2 + 3.
-(c - 6)*(c - 1)**2/2
Factor -2*i**2 + 1056*i - 2104.
-2*(i - 526)*(i - 2)
Find f such that 2*f**2/5 + 8*f - 138/5 = 0.
-23, 3
Factor 2*x**3/9 + 20*x**2/3 + 58*x/9.
2*x*(x + 1)*(x + 29)/9
What is w in -5*w**4 + 65*w**3 + 1235*w**2 - 1625*w - 7590 = 0?
-11, -2, 3, 23
Factor -2*d**5/5 - 24*d**4 - 232*d**3/5.
-2*d**3*(d + 2)*(d + 58)/5
Factor -2*x**3 + 58*x**2 - 160*x + 104.
-2*(x - 26)*(x - 2)*(x - 1)
Factor -5*k**2 - 2855*k + 2860.
-5*(k - 1)*(k + 572)
Find j such that -j**4/5 - 23*j**3/5 - 36*j**2 - 592*j/5 - 704/5 = 0.
-11, -4
Solve 5*l**3 - 309*l**2 - 377*l - 63 = 0 for l.
-1, -1/5, 63
Find d such that d**4/2 + 61*d**3/2 + 173*d**2/2 - 61*d/2 - 87 = 0.
-58, -3, -1, 1
Suppose h**5 + 7*h**4 + 7*h**3 - 19*h**2 - 16*h + 20 = 0. What is h?
-5, -2, 1
Factor 2*m**3/7 + 2680*m**2/7.
2*m**2*(m + 1340)/7
What is i in -5*i**2 + 1870*i + 19200 = 0?
-10, 384
Factor -2*c**3/11 - 184*c**2/11 - 1992*c/11 - 5760/11.
-2*(c + 6)**2*(c + 80)/11
Suppose -2*n**3/5 - 26*n**2/5 - 14*n + 98/5 = 0. What is n?
-7, 1
Find b such that b**3 - 23*b**2 - 88*b + 260 = 0.
-5, 2, 26
Solve -4*c**3/9 - 232*c**2/9 - 452*c/9 - 224/9 = 0.
-56, -1
Determine l so that 2*l**4 + 4088*l**3/3 - 2276*l**2 + 456*l + 1366/3 = 0.
-683, -1/3, 1
Determine y so that -3*y**4 + 39*y**3 = 0.
0, 13
Let -2*d**3/7 + 19*d**2/7 - 8*d/7 - 9/7 = 0. Calculate d.
-1/2, 1, 9
Factor -3*w**3 + 9*w**2 - 6*w.
-3*w*(w - 2)*(w - 1)
Factor 5*i**5 - 10*i**4 - 15*i**3.
5*i**3*(i - 3)*(i + 1)
Factor v**2/6 + 2*v/3 - 16/3.
(v - 4)*(v + 8)/6
What is u in -2*u**3/5 + 6*u**2/5 + 18*u/5 + 2 = 0?
-1, 5
Factor -v**2/5 + 7*v - 30.
-(v - 30)*(v - 5)/5
Suppose -q**4/3 - 3*q**3 - 4*q**2/3 + 12*q + 32/3 = 0. Calculate q.
-8, -2, -1, 2
Let w**2 - 132*w + 4356 = 0. What is w?
66
Factor -3*i**4 + 12*i**3 + 144*i**2 - 960*i + 1536.
-3*(i - 4)**3*(i + 8)
Solve -d**4/10 - d**3/5 + 3*d**2/10 + 4*d/5 + 2/5 = 0 for d.
-2, -1, 2
Find l such that -l**5/5 + 3*l**4 + 19*l**3/5 - 47*l**2/5 - 18*l/5 + 32/5 = 0.
-2, -1, 1, 16
Factor 3*j**3 - 12*j**2 + 12*j.
3*j*(j - 2)**2
Determine q, given that q**4 - 84*q**3 - 85*q**2 = 0.
-1, 0, 85
Suppose y**3/3 - 43*y**2/3 - 184*y/3 - 188/3 = 0. Calculate y.
-2, 47
Factor w**4 + 28*w**3 + 78*w**2 + 76*w + 25.
(w + 1)**3*(w + 25)
Factor 42*n**2 + 2439*n + 174.
3*(n + 58)*(14*n + 1)
Let 3*q**3 - 27*q**2 + 45*q - 21 = 0. What is q?
1, 7
Factor z**5/2 + 5*z**4/2 + 4*z**3 + 2*z**2.
z**2*(z + 1)*(z + 2)**2/2
Factor -4*z**2 + 376*z + 1980.
-4*(z - 99)*(z + 5)
Solve -4*l**3/5 + 164*l**2/5 - 352*l + 320 = 0 for l.
1, 20
Solve -2*j**4/5 - 168*j**3 - 89036*j**2/5 - 35112*j - 87362/5 = 0.
-209, -1
Let -9*x**4 + 33*x**3/2 + 63*x**2/2 - 36*x - 42 = 0. What is x?
-7/6, -1, 2
Find a, given that 105*a**4 - 160*a**3 - 205*a**2 + 160*a + 100 = 0.
-1, -10/21, 1, 2
Let -z**5/6 - 5*z**4 + 35*z**3/6 + 20*z**2 - 62*z/3 = 0. What is z?
-31, -2, 0, 1, 2
Solve 5*c**2/4 + 3095*c/2 + 1915805/4 = 0.
-619
What is l in -2*l**5 + 68*l**4 - 408*l**3 + 836*l**2 - 710*l + 216 = 0?
1, 4, 27
Factor -14*o**4 - 214*o**3 - 1110*o**2 - 2050*o - 500.
-2*(o + 5)**3*(7*o + 2)
Factor 45*q**2 - 1680*q + 15680.
5*(3*q - 56)**2
Solve -r**5 - 27*r**4 - 65*r**3 + 1555*r**2 - 3774*r + 2312 = 0.
-17, 1, 2, 4
Solve l**2/4 - 20*l + 400 = 0.
40
Factor 2*m**2/11 + 6888*m/11 + 5930568/11.
2*(m + 1722)**2/11
Factor -2*c**4/3 + 2*c**2 + 4*c/3.
-2*c*(c - 2)*(c + 1)**2/3
Find j, given that -21*j**4 - 15483*j**3 - 2879133*j**2 - 9306753*j - 2424402 = 0.
-367, -3, -2/7
Let -2*c**2/21 - 572*c/21 - 40898/21 = 0. Calculate c.
-143
Factor -8*r**3 - 26*r**2 - 20*r.
-2*r*(r + 2)*(4*r + 5)
Determine m so that 2*m**3/23 - 20*m**2/23 + 2*m - 28/23 = 0.
1, 2, 7
Factor 3*f**4 - 150*f**3 - 159*f**2 + 306*f.
3*f*(f - 51)*(f - 1)*(f + 2)
Factor -t**2 + 12*t.
-t*(t - 12)
Solve 15*i**5 + 44*i**4 - 377*i**3/5 - 174*i**2/5 + 224*i/5 + 32/5 = 0.
-4, -4/5, -2/15, 1
Factor -2*p**2 - 82*p - 360.
-2*(p + 5)*(p + 36)
Factor -2*l**2/17 - 16*l/17 - 24/17.
-2*(l + 2)*(l + 6)/17
Let -4*s**2 - 28*s + 32 = 0. Calculate s.
-8, 1
Determine h, given that 567*h**3 - 11664*h**2 + 59427*h + 5766 = 0.
-2/21, 31/3
Factor 25*g**4 + 110*g**3 + 140*g**2 + 40*g.
5*g*(g + 2)**2*(5*g + 2)
What is l in -3*l**2/7 + 510*l/7 - 21675/7 = 0?
85
Let -24*m**5 + 92*m**4 + 692*m**3 + 864*m**2 + 16*m - 128 = 0. Calculate m.
-2, -1/2, 1/3, 8
Factor -i**2/3 + 6*i + 115/3.
-(i - 23)*(i + 5)/3
Find y such that y**3/3 + 16*y**2/3 - 19*y/3 - 34/3 = 0.
-17, -1, 2
Factor -v**2/5 - 371*v/5.
-v*(v + 371)/5
Find x such that -3*x**4/7 - 15*x**3/7 + 123*x**2/7 + 135*x/7 = 0.
-9, -1, 0, 5
Factor 2*r**4/11 - 20*r**3/11.
2*r**3*(r - 10)/11
Find m such that -10*m**4 - 98*m**3 - 1698*m**2/5 - 2414*m/5 - 1156/5 = 0.
-17/5, -2, -1
Factor -m**5 - 143*m**4 - 142*m**3.
-m**3*(m + 1)*(m + 142)
Factor 5*t**2 + 240*t - 245.
5*(t - 1)*(t + 49)
Determine n so that -128*n**5/7 + 992*n**4/7 - 2808*n**3/7 + 486*n**2 - 1458*n/7 = 0.
0, 1, 9/4
Factor -4*w**3 - 160*w**2 - 1972*w - 6936.
-4*(w + 6)*(w + 17)**2
Factor 3*q**2 - 69*q - 72.
3*(q - 24)*(q + 1)
Factor 2*l**3 - 32*l**2 - 38*l + 68.
2*(l - 17)*(l - 1)*(l + 2)
Find l such that -2*l**4 - 8*l**3 + 6*l**2 + 36*l = 0.
-3, 0, 2
Find i such that 3*i**3/2 - 351*i**2/2 - 180*i + 354 = 0.
-2, 1, 118
Factor 14*t**3 + 422*t**2 - 836*t - 128.
2*(t - 2)*(t + 32)*(7*t + 1)
What is j in -4*j**5 + 64*j**3 - 152*j**2 + 132*j - 40 = 0?
-5, 1, 2
Solve 2*u**3/9 + 1342*u**2/9 - 5392*u/9 + 600 = 0.
-675, 2
Factor -49*r**3/4 + 1253*r**2/2 + 2175*r/4 + 117.
-(r - 52)*(7*r + 3)**2/4
Solve -3*m**3/7 + 219*m**2/7 - 615*m + 1575 = 0 for m.
3, 35
Determine l so that 32*l**5/3 + 32*l**4/3 - 2*l**3 - 7*l**2/3 - l/3 = 0.
-1, -1/4, 0, 1/2
Solve -20*u**3 - 2*u**2 + 80*u + 8 = 0.
-2, -1/10, 2
Factor 4*m**5 + 304*m**4 + 8640*m**3 + 108800*m**2 + 512000*m.
4*m*(m + 16)*(m + 20)**3
Factor 27*p**2 - 39*p + 12.
3*(p - 1)*(9*p - 4)
Factor -2*d**4/9 + 16*d**3/9 + 8*d**2/3 - 32*d.
-2*d*(d - 6)**2*(d + 4)/9
Find d, given that 2*d**2/11 + 170*d/11 - 1092/11 = 0.
-91, 6
Factor -2450086*m**3/3 + 45796*m**2 - 856*m + 16/3.
-2*(107*m - 2)**3/3
Factor 28*t**4 - 120*t**3 + 172*t**2 - 96*t + 16.
4*(t - 2)*(t - 1)**2*(7*t - 2)
Find v such that 4*v**3/7 + 36*v**2/7 + 60*v/7 - 100/7 = 0.
-5, 1
Factor 2*u**3/3 + 41*u**2/6 - 11*u/2.
u*(u + 11)*(4*u - 3)/6
Factor -c**2/3 + 47*c + 730/3.
-(c - 146)*(c + 5)/3
What is m in m**3/2 - 6*m**2 + 35*m/2 - 12 = 0?
1, 3, 8
Factor 5*v**2 - 940*v + 44180.
5*(v - 94)**2
Factor 18*c**2 - 8204*c - 1824.
2*(c - 456)*(9*c + 2)
Let 2*v**4 + 6*v**3 + 6*v**2 + 2*v = 0. Calculate v.
-1, 0
Factor 2*w**2 - 322*w - 652.
2*(w - 163)*(w + 2)
Let -8*j**4/15 - 1006*j**3/15 + 2306*j**2/15 + 244*j