5*u - 70 = 0. Calculate u.
-14, -1, -1/3, 1
Factor -3*m**2/7 + 24*m/7 - 36/7.
-3*(m - 6)*(m - 2)/7
Let -3*m**3/4 - 921*m**2/2 - 71145*m - 140454 = 0. Calculate m.
-306, -2
Find w, given that -2*w**3 - 614*w**2 + 2*w + 614 = 0.
-307, -1, 1
Factor 2*p**3 + 14*p**2 + 16*p - 32.
2*(p - 1)*(p + 4)**2
Factor 4*i**3 + 2192*i**2 + 4372*i + 2184.
4*(i + 1)**2*(i + 546)
Suppose -2*g**5 - 14*g**4 + 18*g**3 + 14*g**2 - 16*g = 0. What is g?
-8, -1, 0, 1
Factor u**2/4 + 525*u/2 - 526.
(u - 2)*(u + 1052)/4
Let 3*s**5/5 - 9*s**4 - 54*s**3/5 + 96*s**2/5 = 0. What is s?
-2, 0, 1, 16
Factor -506*d**2/7 - 144*d + 8/7.
-2*(d + 2)*(253*d - 2)/7
Factor -h**5/2 + 2*h**4 - 3*h**3 + 2*h**2 - h/2.
-h*(h - 1)**4/2
Factor -8*w**2 + 7*w.
-w*(8*w - 7)
Let 2*y**2/3 + 92*y = 0. What is y?
-138, 0
Determine o, given that -o**5 + 10*o**4 + 24*o**3 + 2*o**2 - 23*o - 12 = 0.
-1, 1, 12
Suppose 2*z**3 - 120*z**2 + 1674*z + 3844 = 0. What is z?
-2, 31
Find m such that -5*m**4 - 1575*m**3 + 3170*m**2 = 0.
-317, 0, 2
Find t such that t**3 - 399*t**2 + 53067*t - 2352637 = 0.
133
Factor x**2/6 + 12*x + 216.
(x + 36)**2/6
Factor -6*u**2/7 + 1296*u/7 - 69984/7.
-6*(u - 108)**2/7
What is q in -q**4/9 - q**3 - 3*q**2 - 31*q/9 - 4/3 = 0?
-4, -3, -1
Determine m, given that -m**5/2 + 23*m**4 - 173*m**3/2 + 106*m**2 - 42*m = 0.
0, 1, 2, 42
Factor -5*z**4 + 210*z**3 - 1120*z**2 + 1440*z.
-5*z*(z - 36)*(z - 4)*(z - 2)
Factor 3*u**3 - 60*u**2 + 201*u - 144.
3*(u - 16)*(u - 3)*(u - 1)
Factor s**3 + 416*s**2 + 828*s.
s*(s + 2)*(s + 414)
Factor 6*d**4/5 - 378*d**3/5 + 6786*d**2/5 - 5046*d.
6*d*(d - 29)**2*(d - 5)/5
Factor l**2/2 - 10*l - 69/2.
(l - 23)*(l + 3)/2
Factor 3*f**5 + 36*f**4 + 159*f**3 + 330*f**2 + 324*f + 120.
3*(f + 1)*(f + 2)**3*(f + 5)
Let 3*y**4/2 + 99*y**3/2 - 105*y**2/2 - 99*y/2 + 51 = 0. Calculate y.
-34, -1, 1
Solve -2*r**4 + 294*r**3 - 292*r**2 = 0.
0, 1, 146
Let -5*m**2 - 55*m - 150 = 0. What is m?
-6, -5
Suppose n**5/3 - n**4/3 = 0. Calculate n.
0, 1
Factor -3*h**3/4 - 927*h**2/4 - 231*h.
-3*h*(h + 1)*(h + 308)/4
Find l such that l**4/4 + 117*l**3/4 + 1110*l**2 + 12400*l - 48000 = 0.
-40, 3
Factor l**3/2 + 6495*l**2/2 + 5271504*l - 5274752.
(l - 1)*(l + 3248)**2/2
Factor -3*w**2 + 78*w - 207.
-3*(w - 23)*(w - 3)
Determine v so that 4*v**5 + 192*v**4 + 2620*v**3 + 6864*v**2 - 9680*v = 0.
-22, -5, 0, 1
Let 2*v**5/5 + 162*v**4/5 + 1194*v**3/5 + 382*v**2 + 876*v/5 = 0. What is v?
-73, -6, -1, 0
Determine f so that 6*f**3/11 + 18*f**2/11 - 4704*f/11 + 4680/11 = 0.
-30, 1, 26
Factor -3*x**3/2 - 252*x**2 - 14112*x - 263424.
-3*(x + 56)**3/2
Solve -4*z**2 - 41*z - 10 = 0.
-10, -1/4
Suppose 14*y**3/3 - 8*y**2/9 - 10*y/3 - 4/9 = 0. What is y?
-2/3, -1/7, 1
Solve 4*i**3 - 8*i**2 - 164*i + 168 = 0.
-6, 1, 7
Factor -b**3/3 - 11*b**2/3 - 10*b/3.
-b*(b + 1)*(b + 10)/3
Find j, given that 2*j**5/5 - 46*j**4/5 + 42*j**3/5 + 46*j**2/5 - 44*j/5 = 0.
-1, 0, 1, 22
What is d in -4*d**2 + 164*d = 0?
0, 41
Factor 2*w**4 - 14*w**3 - 74*w**2 + 350*w + 1176.
2*(w - 7)**2*(w + 3)*(w + 4)
Find a such that 2*a**2/9 - 4*a - 38/9 = 0.
-1, 19
Determine x so that 2*x**3 + 566*x**2 + 3342*x + 4986 = 0.
-277, -3
Suppose x**2/7 + 113*x/7 = 0. What is x?
-113, 0
Factor y**3/5 + 28*y**2/5.
y**2*(y + 28)/5
What is g in -45*g**5 + 363*g**4 - 243*g**3 - 663*g**2 + 72*g + 84 = 0?
-1, -1/3, 2/5, 2, 7
Find f such that 4*f**4 + 40*f**3 + 96*f**2 = 0.
-6, -4, 0
Suppose 245*k**4 + 1155*k**3 + 600*k**2 - 2000*k = 0. Calculate k.
-20/7, 0, 1
Determine v, given that 12*v**5/5 - 48*v**4/5 + 33*v**3/5 + 12*v**2/5 - 9*v/5 = 0.
-1/2, 0, 1/2, 1, 3
Factor -5*h**2 + 105*h - 400.
-5*(h - 16)*(h - 5)
Factor 5*u**4 - 145*u**3 + 965*u**2 + 1425*u - 2250.
5*(u - 15)**2*(u - 1)*(u + 2)
Suppose 732*f**2 + 6596*f + 72 = 0. What is f?
-9, -2/183
Factor -2*k**3 - 64*k**2 + 66*k.
-2*k*(k - 1)*(k + 33)
Factor -z**4/6 + 43*z**3/6 - 41*z**2/3.
-z**2*(z - 41)*(z - 2)/6
Find y, given that 4*y**3/5 + 112*y**2/5 - 796*y/5 + 136 = 0.
-34, 1, 5
Let -o**2 - 326*o - 325 = 0. What is o?
-325, -1
Determine q, given that -4*q**5 + 2*q**4 + 68*q**3 + 110*q**2 + 8*q - 40 = 0.
-2, -1, 1/2, 5
Factor v**2 + 5*v + 4.
(v + 1)*(v + 4)
Factor -4*t**2 + 484*t - 480.
-4*(t - 120)*(t - 1)
Factor 3*x**5/8 - 3*x**4/8 - 9*x**3/8 + 15*x**2/8 - 3*x/4.
3*x*(x - 1)**3*(x + 2)/8
Factor 25*l**3 - 15*l**2 - 40*l.
5*l*(l + 1)*(5*l - 8)
Let 2*d**3/17 + 72*d**2/17 + 262*d/17 + 192/17 = 0. What is d?
-32, -3, -1
Solve 8*s**4/11 + 74*s**3/11 - 158*s**2/11 - 1754*s/11 - 1530/11 = 0.
-9, -17/4, -1, 5
Factor -2*g**2/11 + 5052*g/11 - 3190338/11.
-2*(g - 1263)**2/11
Factor 4*z**3/7 - 20*z**2/7 + 16*z/7.
4*z*(z - 4)*(z - 1)/7
Suppose -2*x**2/25 - 226*x/25 + 1428/25 = 0. What is x?
-119, 6
Determine x so that -2*x**4/17 - 14*x**3/17 - 30*x**2/17 - 26*x/17 - 8/17 = 0.
-4, -1
Factor -v**5 - 33*v**4 - 218*v**3 + 900*v**2 - 648*v.
-v*(v - 2)*(v - 1)*(v + 18)**2
Solve 2*t**2/13 + 212*t/13 + 2090/13 = 0.
-95, -11
Determine c, given that -5*c**3 - 60*c**2 + 65*c = 0.
-13, 0, 1
Let 6*o**5/5 + 2*o**4/5 - 106*o**3/15 - 182*o**2/15 - 112*o/15 - 8/5 = 0. What is o?
-1, -2/3, 3
Suppose 6*y**3/17 + 52276*y**2/17 + 113883264*y/17 + 75898944/17 = 0. What is y?
-4356, -2/3
Factor -3*o**2 - 60*o.
-3*o*(o + 20)
Factor -4*n**5 + 2180*n**4 - 475240*n**3 + 51801160*n**2 - 2823163220*n + 61544958196.
-4*(n - 109)**5
Factor 20*a**4 - 346*a**3 + 102*a**2.
2*a**2*(a - 17)*(10*a - 3)
Factor l**4/4 + 3*l**3/4 + l**2/4 - 3*l/4 - 1/2.
(l - 1)*(l + 1)**2*(l + 2)/4
Factor -2*h**2 - 376*h - 1472.
-2*(h + 4)*(h + 184)
Factor -p**4 + 5*p**3 - 9*p**2 + 7*p - 2.
-(p - 2)*(p - 1)**3
Find n, given that -4*n**4 + 96*n**3 - 72*n**2 - 3456*n - 6804 = 0.
-3, 9, 21
Find p, given that -p**4 - 9*p**3 + 11*p**2 + 9*p - 10 = 0.
-10, -1, 1
Factor -z**2/2 + 105*z - 11025/2.
-(z - 105)**2/2
Solve 4*t**2 + 72*t - 76 = 0 for t.
-19, 1
Find s, given that 5*s**3 - 30*s**2 - 45*s + 70 = 0.
-2, 1, 7
Factor -p**2/3 - 1129*p/3 - 2254/3.
-(p + 2)*(p + 1127)/3
Suppose 2*l**2 - 76*l = 0. What is l?
0, 38
Factor 63*a**3/5 + 5953*a**2/5 - 3036*a/5 + 76.
(a + 95)*(7*a - 2)*(9*a - 2)/5
What is c in -5*c**2 - 90*c + 95 = 0?
-19, 1
Solve -2*c**2 - 3264*c - 1331712 = 0 for c.
-816
Suppose 5*i**4 - 35*i**3 - 520*i**2 - 1200*i = 0. Calculate i.
-4, 0, 15
Find t such that 4*t**2 - 232*t = 0.
0, 58
Factor -2*m**4/11 + 310*m**3/11 + 626*m**2/11 + 314*m/11.
-2*m*(m - 157)*(m + 1)**2/11
Find b, given that -b**5/9 + b**4/3 + 11*b**3/9 - b**2/3 - 10*b/9 = 0.
-2, -1, 0, 1, 5
Factor 3*o**4/4 - 57*o**3 + 1371*o**2 - 10944*o + 27648.
3*(o - 32)**2*(o - 6)**2/4
Solve -q**4 + 8*q**3 - 15*q**2 - 4*q + 20 = 0 for q.
-1, 2, 5
Factor 2*l**2 - 92*l + 90.
2*(l - 45)*(l - 1)
Factor x**2 + 14*x - 312.
(x - 12)*(x + 26)
Solve 5*x**3 - 165*x**2 - 6120*x + 202300 = 0 for x.
-35, 34
Solve s**5/4 - 201*s**4/4 + 13467*s**3/4 - 300763*s**2/4 = 0.
0, 67
Determine p, given that -p**2/4 - 5*p/2 + 6 = 0.
-12, 2
Factor -o**2/7 - 433*o/7.
-o*(o + 433)/7
Determine f so that -f**4/6 + 10*f**3 + 61*f**2/6 = 0.
-1, 0, 61
Factor -3*t**3/5 - 327*t**2/5 + 1692*t/5 - 2052/5.
-3*(t - 3)*(t - 2)*(t + 114)/5
Factor 3*s**4 - 33*s**2 - 54*s - 24.
3*(s - 4)*(s + 1)**2*(s + 2)
Solve d**3/9 - d**2/9 - 17*d/9 - 5/3 = 0.
-3, -1, 5
Solve 2*t**5/3 - 148*t**4/3 - 212*t**3 + 928*t**2/3 + 634*t/3 - 260 = 0 for t.
-5, -1, 1, 78
Find c such that -2*c**4 + 1018*c**3 = 0.
0, 509
Factor 900*r**4 + 17340*r**3 + 4576*r**2 + 304*r.
4*r*(r + 19)*(15*r + 2)**2
Factor -2*b**2/3 + 8*b/9 - 2/9.
-2*(b - 1)*(3*b - 1)/9
Suppose 3*c**3/5 + 72*c**2 - 729*c/5 + 366/5 = 0. Calculate c.
-122, 1
Solve 2*d**3/7 + 10*d**2/7 - 2*d/7 - 10/7 = 0.
-5, -1, 1
Find z such that 14*z**5/9 + 2*z**4 - 38*z**3/9 - 26*z**2/9 + 8*z/3 + 8/9 = 0.
-2, -1, -2/7, 1
Suppose -b**2 - 878*b - 192721 = 0. What is b?
-439
Solve -35*k**4 + 1095*k**3 - 8150*k**2 - 6720*k + 2560 = 0 for k.
-1, 2/7, 16
Find b such that 2*b**5 - 36*b**4 + 160*b**3 + 36*b**2 - 162*b = 0.
-1, 0, 1, 9
What is f in -5*f**2 - 260*f - 255 = 0?
-51, -1
Find s such that 3*s**5/2 - 27*s**4 + 69*s**3 - 18*s**2 - 141*s/2 + 45 = 0.
-1, 1, 2, 15
Determine u so that -21*u**4 + 2694*u**3 = 0.
0, 898/7
Factor 3*q**3 + 243*q**2 + 6561*q + 59049.
3*(q + 27)**3
Factor -28*q**4 + 160*q**3 - 176*q**2 - 64*q.
-4*q*(q - 4)*(q - 2)*(7*q + 2)
Let -5*j**2/6 + 295*j - 52215/2 = 0. What is j?
177
Factor 4*m**4 