7
Solve 2*s**5/5 + 1408*s**4/5 + 252002*s**3/5 + 295676*s**2 + 2934392*s/5 + 1948816/5 = 0 for s.
-349, -2
Determine k so that -3*k**2/5 + 42*k/5 - 39/5 = 0.
1, 13
Solve -3*r**5/4 + 48*r**4 + 1227*r**3/4 + 573*r**2 + 315*r = 0.
-3, -2, -1, 0, 70
Determine z, given that 3*z**4/4 - 12*z**3 + 45*z**2 + 48*z - 192 = 0.
-2, 2, 8
Factor -p**3/2 + 2*p**2.
-p**2*(p - 4)/2
Factor -x**2 - 9*x - 14.
-(x + 2)*(x + 7)
Find j such that -2*j**3 + 744*j**2 - 742*j = 0.
0, 1, 371
Factor 5*t**2 - 175*t + 1430.
5*(t - 22)*(t - 13)
Factor -2*b**3 - 36*b**2 - 66*b - 32.
-2*(b + 1)**2*(b + 16)
Factor -3*n**5/4 - 11*n**4/4 - 2*n**3.
-n**3*(n + 1)*(3*n + 8)/4
Factor -2*d**2 + 4*d.
-2*d*(d - 2)
Factor 20*t**4 + 95*t**3 + 115*t**2 + 25*t - 15.
5*(t + 1)**2*(t + 3)*(4*t - 1)
Factor -q**2/2 - 90*q - 178.
-(q + 2)*(q + 178)/2
Factor -3*m**5 + 3120*m**4/7 + 1341*m**3/7.
-3*m**3*(m - 149)*(7*m + 3)/7
Let -2679769*x**2/8 + 1637*x/2 - 1/2 = 0. Calculate x.
2/1637
Factor 135*h**4 - 129*h**3 - 276*h**2 - 12*h.
3*h*(h - 2)*(h + 1)*(45*h + 2)
Find q such that -2*q**5 + 2*q**4 + 6*q**3 - 10*q**2 + 4*q = 0.
-2, 0, 1
Solve 8*p**5/15 - 146*p**4 + 1196*p**3/3 - 976*p**2/3 + 36*p + 542/15 = 0.
-1/4, 1, 271
Find t, given that -4*t**4/5 - 24*t**3/5 - 48*t**2/5 - 8*t - 12/5 = 0.
-3, -1
Factor -3*q**4/2 + 21*q**2/2 + 9*q.
-3*q*(q - 3)*(q + 1)*(q + 2)/2
Solve 2*v**3/7 + 34*v**2/7 + 110*v/7 + 78/7 = 0 for v.
-13, -3, -1
Find w such that 4*w**3 + 224*w**2 + 2156*w + 1936 = 0.
-44, -11, -1
Factor 2*p**4/3 - 101*p**3/3 + 148*p**2/3 - 49*p/3.
p*(p - 49)*(p - 1)*(2*p - 1)/3
Solve -4*u**2/5 - 30392*u/5 - 57729604/5 = 0.
-3799
Solve -20*l**3 + 295*l**2 + 755*l + 170 = 0.
-2, -1/4, 17
Suppose -c**2 + 150*c + 151 = 0. What is c?
-1, 151
Factor 4*k**2 + 1452*k + 1448.
4*(k + 1)*(k + 362)
Find i such that 2*i**2 + 366*i + 724 = 0.
-181, -2
Factor 442*l**2 + 1324*l - 6.
2*(l + 3)*(221*l - 1)
Factor 2*k**3/9 - 98*k/9.
2*k*(k - 7)*(k + 7)/9
What is m in m**5 + 6*m**4 + 5*m**3 - 12*m**2 = 0?
-4, -3, 0, 1
Suppose q**4 - 10*q**3 - 51*q**2 - 68*q - 28 = 0. What is q?
-2, -1, 14
Suppose -4*b**3 + 372*b**2 - 11532*b + 119164 = 0. What is b?
31
Suppose -10*z**2/7 + 2*z - 4/7 = 0. What is z?
2/5, 1
Solve 5*b**2 + 110*b + 480 = 0 for b.
-16, -6
Determine d so that 2*d**4 - 26*d**3 - 62*d**2 + 26*d + 60 = 0.
-2, -1, 1, 15
What is w in 36*w**4 + 1776*w**3 - 1280*w**2 - 4032*w - 1600 = 0?
-50, -2/3, 2
Factor 4*d**3/3 - 184*d**2/3 - 880*d - 2784.
4*(d - 58)*(d + 6)**2/3
What is j in -18*j**5/5 + 532*j**4/5 - 3792*j**3/5 - 2332*j**2/5 + 762*j + 360 = 0?
-1, -4/9, 1, 15
Suppose q**3/6 + 2*q**2/3 - 2*q = 0. Calculate q.
-6, 0, 2
Factor -2*k**3/11 - 24*k**2/11 - 64*k/11.
-2*k*(k + 4)*(k + 8)/11
Factor 3*d**3 + 15*d**2 + 18*d.
3*d*(d + 2)*(d + 3)
Let -2*k**5/7 - 62*k**4/7 + 428*k**3/7 - 592*k**2/7 = 0. Calculate k.
-37, 0, 2, 4
Factor 3*f**2 + 57*f - 60.
3*(f - 1)*(f + 20)
Factor 9*f**4 + 15*f**3 - 42*f**2 - 60*f + 24.
3*(f - 2)*(f + 2)**2*(3*f - 1)
Suppose 2*m**5/9 - 4*m**4/3 + 14*m**3/9 + 4*m**2/3 - 16*m/9 = 0. Calculate m.
-1, 0, 1, 2, 4
What is w in w**2 + 2*w + 1 = 0?
-1
Factor g**3/5 - 7*g**2 - 518*g/5 + 552/5.
(g - 46)*(g - 1)*(g + 12)/5
Factor 3*i**5/2 - 12*i**4 - 27*i**3/2.
3*i**3*(i - 9)*(i + 1)/2
Factor -2*n**2 - 70*n + 588.
-2*(n - 7)*(n + 42)
Let -190*v**3 - 185*v**2 + 385*v - 10 = 0. What is v?
-2, 1/38, 1
Factor 4*c**3 + 32*c**2 - 4*c - 32.
4*(c - 1)*(c + 1)*(c + 8)
Determine b, given that 4*b**4 - 36*b**3 + 60*b**2 + 100*b = 0.
-1, 0, 5
Factor j**4/3 + 18*j**3 + 115*j**2 + 764*j/3 + 188.
(j + 2)**2*(j + 3)*(j + 47)/3
Find o, given that 4*o**3 + 96*o**2 + 368*o - 1152 = 0.
-18, -8, 2
Factor x**2/7 + 17042*x/7 + 72607441/7.
(x + 8521)**2/7
Factor 3*s**4/8 - 1047*s**3/4 + 361191*s**2/8 + 367497*s/2 + 369603/2.
3*(s - 351)**2*(s + 2)**2/8
What is u in u**3/3 + 370*u**2/3 - 6112*u/3 + 24704/3 = 0?
-386, 8
Determine a so that a**2/5 - 7*a/5 = 0.
0, 7
Factor n**4/2 + 5*n**3 + 8*n**2.
n**2*(n + 2)*(n + 8)/2
Factor -r**4/5 - r**3 + 7*r**2/5 + r - 6/5.
-(r - 1)**2*(r + 1)*(r + 6)/5
Let 3*h**3/5 + 219*h**2/5 - 3288*h/5 + 5676/5 = 0. What is h?
-86, 2, 11
Factor -4*d**3 - 36*d**2.
-4*d**2*(d + 9)
What is j in 3*j**4 - 12*j**3 - 6*j**2 + 36*j + 27 = 0?
-1, 3
Factor -d**3 - 130*d**2 - 4225*d.
-d*(d + 65)**2
Factor -9*j**3 + 7*j**2 + 506*j + 112.
-(j - 8)*(j + 7)*(9*j + 2)
Factor 15*a**4 + 520*a**3 - 175*a**2.
5*a**2*(a + 35)*(3*a - 1)
Factor 3*s**4 - 594*s**3 + 31683*s**2 - 225720*s + 433200.
3*(s - 95)**2*(s - 4)**2
Factor -b**3/5 - 143*b**2/5 + 436*b/5 - 292/5.
-(b - 2)*(b - 1)*(b + 146)/5
Find l such that -21*l**2/5 + 3*l/5 = 0.
0, 1/7
Solve 33*m**2/8 - 9*m/4 - 15/8 = 0.
-5/11, 1
Let -7*x**3/4 + 17*x**2 + 5*x = 0. Calculate x.
-2/7, 0, 10
Suppose x**3 - 36*x**2 - 39*x + 74 = 0. Calculate x.
-2, 1, 37
Factor -i**4/4 - 33*i**3/4 - 93*i**2/4 - 91*i/4 - 15/2.
-(i + 1)**3*(i + 30)/4
Factor -3*a**3/2 + 15*a**2/2 + 39*a/2 + 21/2.
-3*(a - 7)*(a + 1)**2/2
Factor 3*s**5 + 21*s**4 - 36*s**3 - 204*s**2 + 336*s.
3*s*(s - 2)**2*(s + 4)*(s + 7)
Factor 2*i**2/3 - 904*i + 306456.
2*(i - 678)**2/3
Factor 484*l**3 - 352*l**2 + 64*l.
4*l*(11*l - 4)**2
Determine d, given that 2*d**5 + 75*d**4 - 836*d**3 + 2623*d**2 - 2616*d + 752 = 0.
-47, 1/2, 1, 4
Factor -l**5/2 - 19*l**4/2 + 21*l**3 - l**2 - 41*l/2 + 21/2.
-(l - 1)**3*(l + 1)*(l + 21)/2
Factor u**4 + 41*u**3 - 42*u**2.
u**2*(u - 1)*(u + 42)
What is b in -2*b**3/9 - 14*b**2/3 - 20*b = 0?
-15, -6, 0
Factor 5*a**4 - 35*a**3 + 75*a**2 - 65*a + 20.
5*(a - 4)*(a - 1)**3
Factor f**5/2 + f**4/2 - 3*f**3/2 - f**2/2 + f.
f*(f - 1)**2*(f + 1)*(f + 2)/2
Find s such that -2*s**5 + 60*s**4 - 600*s**3 + 2320*s**2 - 3840*s + 2304 = 0.
2, 12
Factor a**3/5 + 32*a**2/5 + 57*a + 90.
(a + 2)*(a + 15)**2/5
Factor -2*l**2 + 4*l + 30.
-2*(l - 5)*(l + 3)
Factor 5*j**3 + 385*j**2 + 1120*j + 740.
5*(j + 1)*(j + 2)*(j + 74)
Find c, given that 17*c**2/3 - 10*c - 8/3 = 0.
-4/17, 2
Factor s**3 + 20*s**2 - 43*s + 22.
(s - 1)**2*(s + 22)
What is y in y**2/6 - 659*y/6 - 661/3 = 0?
-2, 661
Solve x**3/3 - 3*x**2 - 16*x/3 + 20 = 0 for x.
-3, 2, 10
Solve -6*r**4/5 + 44*r**3/5 - 94*r**2/5 + 24*r/5 + 72/5 = 0.
-2/3, 2, 3
Factor m**4 + 41*m**3 + 504*m**2 + 1620*m.
m*(m + 5)*(m + 18)**2
Determine x, given that -x**5/7 + 4*x**4/7 - 5*x**3/7 + 2*x**2/7 = 0.
0, 1, 2
Factor -4*m**2/5 - 108*m/5 - 104/5.
-4*(m + 1)*(m + 26)/5
Find m such that 2*m**3 - 632*m**2 + 49928*m = 0.
0, 158
Factor -s**4/10 + 4*s**3/5 - 2*s**2 + 8*s/5.
-s*(s - 4)*(s - 2)**2/10
Factor -15*x**3 - 66*x**2 - 87*x - 36.
-3*(x + 1)**2*(5*x + 12)
Determine g so that 44*g**5/5 + 162*g**4/5 + 94*g**3/5 - 164*g**2/5 - 24*g - 16/5 = 0.
-2, -1/2, -2/11, 1
Factor 2*y**3/9 + 14*y**2/9 + 14*y/9 - 10/3.
2*(y - 1)*(y + 3)*(y + 5)/9
Let m**4/4 + 81*m**3/4 + 459*m**2/4 + 679*m/4 + 75 = 0. Calculate m.
-75, -4, -1
Find j such that 18*j**2 + 536*j - 120 = 0.
-30, 2/9
Suppose 2*c**4/3 - 2*c**2/3 = 0. What is c?
-1, 0, 1
Factor -l**3/2 + 9*l/2.
-l*(l - 3)*(l + 3)/2
Factor m**3/6 + 47*m**2/6 + 23*m/3.
m*(m + 1)*(m + 46)/6
Factor 4*c**5/3 + 44*c**4/3 + 48*c**3 + 64*c**2/3 - 256*c/3.
4*c*(c - 1)*(c + 4)**3/3
Factor 4*k**2 - 13352*k + 11142244.
4*(k - 1669)**2
Factor 21*n**2/5 - 3093*n/5 + 882/5.
3*(n - 147)*(7*n - 2)/5
Factor g**3/2 - 2*g**2 - 117*g/2.
g*(g - 13)*(g + 9)/2
Find n such that -3*n**5 + 183*n**4 - 3174*n**3 + 10752*n**2 + 14112*n = 0.
-1, 0, 6, 28
Find u such that 33*u**3/5 + 48*u**2 + 63*u/5 = 0.
-7, -3/11, 0
Factor -4*l**2 + 2224*l.
-4*l*(l - 556)
Factor -22*v**2 - 964*v + 176.
-2*(v + 44)*(11*v - 2)
What is h in h**2/7 - 1660*h/7 - 3324/7 = 0?
-2, 1662
Find w such that 27*w**3/2 + 57*w**2 + 105*w/2 + 9 = 0.
-3, -1, -2/9
Factor -a**3/3 + 877*a**2/3 - 190960*a/3 - 193600.
-(a - 440)**2*(a + 3)/3
Determine r so that r**5/4 - 3*r**4 + 64*r**2 = 0.
-4, 0, 8
Factor 2*t**3 - 6500*t**2 - 13006*t - 6504.
2*(t - 3252)*(t + 1)**2
Factor -3*i**3 + 7290*i**2 + 14589*i + 7296.
-3*(i - 2432)*(i + 1)**2
Factor d**2 + 170*d + 7225.
(d + 85)**2
Factor -5*n**2 - 60*n - 55.
-5*(n + 1)*(n + 11)
Suppose -r**3/5 - 66*r**2/5 - 211*r + 1122/5 = 0. What is r?
-34, -33, 1
Find h, given that 24*h**5 - 64*h**4 + 30*h**3 + 6*h**2 - 4*h = 0.
-1/3, 0, 1/2, 2
What is x in -5*x**4/4 + 109*x**3/4 - 21*x**2 = 0?
0, 4/5, 21
Let 5*b**2 - 515*b - 520 = 0. Calculate b.
-1, 104
Factor -y**3/5 + 19*y**2/5