 2*y**2/7 + 622*y/7 + 2456/7.
2*(y + 4)*(y + 307)/7
Solve -5*n**3 + 195*n**2 + 3645*n + 3445 = 0 for n.
-13, -1, 53
Suppose f**3/5 - 11*f**2/5 - f/5 + 11/5 = 0. Calculate f.
-1, 1, 11
Determine c, given that c**2/3 + 2*c - 16/3 = 0.
-8, 2
Let k**3/6 + 859*k**2/2 + 737881*k/2 + 633839779/6 = 0. Calculate k.
-859
Find v, given that 21*v**4 - 27*v**3 - 15*v**2 + 27*v - 6 = 0.
-1, 2/7, 1
Factor -2*p**2 + 542*p + 2200.
-2*(p - 275)*(p + 4)
Solve 5*a**4 + 125*a**3 - 15*a**2 - 365*a + 250 = 0.
-25, -2, 1
Factor -12*o**2 + 488*o + 164.
-4*(o - 41)*(3*o + 1)
Suppose 2*r**3/7 + 32*r**2/7 + 40*r/7 - 800/7 = 0. What is r?
-10, 4
Find d, given that -2*d**5/5 - 66*d**4/5 - 58*d**3 - 54*d**2 + 292*d/5 + 336/5 = 0.
-28, -3, -2, -1, 1
Find n such that -3*n**3/2 + 69*n**2/2 + 117*n = 0.
-3, 0, 26
Suppose 2*p**2/3 + 1732*p/3 + 374978/3 = 0. What is p?
-433
Determine p so that -3*p**5/2 - 27*p**4 - 255*p**3/2 - 108*p**2 + 264*p = 0.
-11, -4, 0, 1
Factor a**3 + 107*a**2 + 207*a - 315.
(a - 1)*(a + 3)*(a + 105)
Factor -2*r**4 + 18*r**3 - 26*r**2 - 90*r + 100.
-2*(r - 5)**2*(r - 1)*(r + 2)
Factor -2*c**3 + 12*c**2 + 18*c - 28.
-2*(c - 7)*(c - 1)*(c + 2)
Factor 5*v**2/4 + 5*v/4.
5*v*(v + 1)/4
Factor 207368*a**2 - 1288*a + 2.
2*(322*a - 1)**2
Factor -2*u**3/3 + 4*u**2 + 2*u/3 - 4.
-2*(u - 6)*(u - 1)*(u + 1)/3
Determine l, given that 4*l**3 - 16*l**2 - 304*l + 640 = 0.
-8, 2, 10
Factor -4*m**2 + 368*m + 372.
-4*(m - 93)*(m + 1)
Suppose 3*x**4/5 - 99*x**3/5 + 864*x**2/5 - 768*x/5 = 0. What is x?
0, 1, 16
Let -2*m**5 + 16*m**3 + 12*m**2 - 14*m - 12 = 0. Calculate m.
-2, -1, 1, 3
Factor 2*m**3 - 26*m**2 + 96*m - 72.
2*(m - 6)**2*(m - 1)
Factor -q**5 + 3*q**4 + 2*q**3 - 12*q**2 + 8*q.
-q*(q - 2)**2*(q - 1)*(q + 2)
Solve 2*d**3/7 + 4*d**2 - 30*d/7 = 0 for d.
-15, 0, 1
Let 5*o**2 - 12890*o = 0. Calculate o.
0, 2578
Let -2*p**2/9 + 82*p/3 - 244/9 = 0. What is p?
1, 122
Suppose 2*k**2/17 - 36*k/17 + 2 = 0. What is k?
1, 17
Factor -z**3/4 + 27*z**2/2 - 761*z/4 + 456.
-(z - 32)*(z - 19)*(z - 3)/4
Factor -21*y**3 - 162*y**2 - 267*y + 90.
-3*(y + 3)*(y + 5)*(7*y - 2)
Find p such that -3*p**5 + 493*p**4/3 - 7396*p**3/3 + 5840*p**2 - 7904*p/3 - 2704/3 = 0.
-2/9, 1, 2, 26
Determine k, given that -2*k**4/17 - 10*k**3/17 + 114*k**2/17 - 190*k/17 + 88/17 = 0.
-11, 1, 4
Find c, given that -2*c**4/11 + 18*c**3/11 - 40*c**2/11 = 0.
0, 4, 5
Find a such that 3*a**3/2 - 120*a**2 - 498*a - 504 = 0.
-2, 84
Factor 2*z**4/3 - 404*z**3/3 + 6526*z**2 + 83224*z/3 + 84872/3.
2*(z - 103)**2*(z + 2)**2/3
Factor b**3/4 - 2*b**2 - 19*b/4 - 5/2.
(b - 10)*(b + 1)**2/4
Factor 24*d**3/5 + 22*d**2/5 - 10*d + 4/5.
2*(d - 1)*(d + 2)*(12*d - 1)/5
Suppose -4*l**3/9 - 488*l**2/9 + 2096*l/3 - 2144 = 0. What is l?
-134, 6
Factor 2*i**3/17 + 212*i**2/17 + 5618*i/17.
2*i*(i + 53)**2/17
Factor j**2/2 + 125*j/2 + 413.
(j + 7)*(j + 118)/2
Factor 93*p**2/5 + 193*p/5 + 14/5.
(p + 2)*(93*p + 7)/5
Suppose -2*s**2/5 - 62*s/5 + 72 = 0. What is s?
-36, 5
Suppose h**5/6 + 3*h**4/2 + 23*h**3/6 + h**2/2 - 6*h = 0. Calculate h.
-4, -3, 0, 1
Solve 10*r**5/7 + 4*r**4/7 - 100*r**3/7 - 40*r**2/7 + 90*r/7 + 36/7 = 0.
-3, -1, -2/5, 1, 3
Find w such that 4*w**5 + 4464*w**4 - 8940*w**3 + 4472*w**2 = 0.
-1118, 0, 1
Factor -4*l**3 - 1012*l**2 - 9820*l - 24300.
-4*(l + 5)**2*(l + 243)
Find s, given that -5*s**2 - 210*s - 2080 = 0.
-26, -16
Factor -o**5 - 16*o**4 + o**3 + 16*o**2.
-o**2*(o - 1)*(o + 1)*(o + 16)
Determine x, given that 4*x**4/3 - 76*x**3/3 - 88*x**2 - 16*x/3 + 352/3 = 0.
-2, 1, 22
What is c in 27*c**5 - 384*c**4 - 2832*c**3 - 5616*c**2 - 2928*c + 960 = 0?
-2, 2/9, 20
Suppose -a**4 + 24*a**3 - 66*a**2 + 64*a - 21 = 0. What is a?
1, 21
Factor 4*d**2 - 24*d + 20.
4*(d - 5)*(d - 1)
Solve m**4/3 - 2*m**2 + 8*m/3 - 1 = 0 for m.
-3, 1
Factor 5*w**3 - 50*w**2 + 60*w + 360.
5*(w - 6)**2*(w + 2)
Suppose b**5/2 - 11*b**4/2 + 3*b**3 + 47*b**2 + 121*b/2 + 45/2 = 0. What is b?
-1, 5, 9
Factor i**5/4 + 7*i**4/4 + 13*i**3/4 - 3*i**2/4 - 9*i/2.
i*(i - 1)*(i + 2)*(i + 3)**2/4
Let -2*b**4 - 10*b**3 + 51*b**2/2 - 17*b + 7/2 = 0. Calculate b.
-7, 1/2, 1
Factor -5*m**2 - 30*m + 35.
-5*(m - 1)*(m + 7)
Determine i so that -12*i**2 + 33*i - 21 = 0.
1, 7/4
What is v in -3*v**5 - 93*v**4 - 534*v**3 - 720*v**2 = 0?
-24, -5, -2, 0
Factor a**2/5 + 37*a/5.
a*(a + 37)/5
Factor -b**2/2 + 3*b/2 + 9.
-(b - 6)*(b + 3)/2
Suppose 2*g**5/7 + 2*g**4/7 - 46*g**3/7 - 2*g**2/7 + 124*g/7 - 80/7 = 0. What is g?
-5, -2, 1, 4
Let 3*k**4 - 3*k**3 - 144*k**2 + 528*k - 384 = 0. Calculate k.
-8, 1, 4
Let -9*h**4/4 + 43*h**3/4 - h**2 - 53*h + 60 = 0. What is h?
-20/9, 2, 3
Let 2*g**2/9 + 10*g/9 - 4/3 = 0. Calculate g.
-6, 1
Factor -m**4 - 7*m**3 - 11*m**2 - 5*m.
-m*(m + 1)**2*(m + 5)
Factor -2*m**4 - 16*m**3 + 20*m**2 + 16*m - 18.
-2*(m - 1)**2*(m + 1)*(m + 9)
Factor -82*m**3/5 - 7212*m**2/5 - 31680*m + 7744/5.
-2*(m + 44)**2*(41*m - 2)/5
Determine f, given that 10*f**3 + 188*f**2 + 562*f - 120 = 0.
-15, -4, 1/5
Determine u so that 40*u**5 + 145*u**4 + 65*u**3 - 145*u**2 - 105*u = 0.
-21/8, -1, 0, 1
Suppose p**3/2 - 57*p**2/2 + 479*p/2 - 423/2 = 0. Calculate p.
1, 9, 47
Find m such that -4*m**2 - 1292*m - 1288 = 0.
-322, -1
What is y in 5*y**4 - 40*y**3 + 80*y**2 = 0?
0, 4
What is k in k**4 - 18*k**3 + 36*k**2 + 130*k + 75 = 0?
-1, 5, 15
Let 12*g**2 + 76*g - 160 = 0. What is g?
-8, 5/3
Find g such that -2*g**2 + 98*g = 0.
0, 49
Suppose -r**3/8 + 41*r**2/4 + 85*r/2 + 43 = 0. Calculate r.
-2, 86
Factor -384*d**2/5 + 354*d/5 + 6.
-6*(d - 1)*(64*d + 5)/5
Solve 2*q**3/7 - 4*q**2/7 - 10*q/7 + 12/7 = 0.
-2, 1, 3
Factor 2*g**3/11 + 180*g**2/11 + 4050*g/11.
2*g*(g + 45)**2/11
Suppose 2*v**4/7 - 4*v**3/7 - 6*v**2/7 = 0. Calculate v.
-1, 0, 3
Factor 5*i**5 + 40*i**4 + 115*i**3 + 140*i**2 + 60*i.
5*i*(i + 1)*(i + 2)**2*(i + 3)
Factor -v**2/2 + 21*v - 441/2.
-(v - 21)**2/2
Factor 2*q**2/5 + 6*q/5 + 4/5.
2*(q + 1)*(q + 2)/5
Factor -2*l**3/7 - 26*l**2/7 - 96*l/7 - 72/7.
-2*(l + 1)*(l + 6)**2/7
Determine w, given that -8*w**3 - 130*w**2 + 104*w + 34 = 0.
-17, -1/4, 1
Solve 2*x**4/19 - 70*x**3/19 + 508*x**2/19 - 56*x + 624/19 = 0 for x.
1, 2, 6, 26
Factor r**4/5 + 8*r**3 + 212*r**2/5 + 272*r/5.
r*(r + 2)*(r + 4)*(r + 34)/5
Determine c, given that -c**2/2 - 129*c/2 - 64 = 0.
-128, -1
Solve -25*n**3 - 115*n**2 - 100*n + 60 = 0.
-3, -2, 2/5
Factor -2*p**2 + 9288*p - 10783368.
-2*(p - 2322)**2
Find s such that 5*s**3 + 35*s**2 - 90*s = 0.
-9, 0, 2
Let -54*n**4 + 117*n**3 + 3*n**2 - 48*n + 12 = 0. What is n?
-2/3, 1/3, 1/2, 2
Let -8*q**4 - 236*q**3 - 328*q**2 + 224*q = 0. Calculate q.
-28, -2, 0, 1/2
Find h, given that 4*h**2 + 116*h + 112 = 0.
-28, -1
Suppose -2*c**2 + 2282*c + 2284 = 0. What is c?
-1, 1142
Factor 3*b**3 - 390*b**2 + 12675*b.
3*b*(b - 65)**2
Solve -2*s**3 + 60*s**2 + 62*s = 0 for s.
-1, 0, 31
Solve -4*d**2/7 + 69*d/7 - 17/7 = 0 for d.
1/4, 17
Let -6*q**5/7 - 2*q**4 + 48*q**3/7 + 24*q**2/7 - 32*q/7 = 0. What is q?
-4, -1, 0, 2/3, 2
Find m, given that 5*m**2 - 9290*m + 4315205 = 0.
929
Suppose 3*k**5/7 + 11*k**4/7 + 6*k**3/7 = 0. What is k?
-3, -2/3, 0
Factor 209814*n**2 + 7854*n + 147/2.
3*(374*n + 7)**2/2
Let 5*h**5 - 65*h**4 + 160*h**3 - 100*h**2 = 0. What is h?
0, 1, 2, 10
Suppose -20*u**5 + 165*u**4 - 160*u**3 - 130*u**2 + 180*u - 35 = 0. Calculate u.
-1, 1/4, 1, 7
Factor 4*l**3 - 280*l**2 - 1168*l - 1184.
4*(l - 74)*(l + 2)**2
Factor -s**3/6 + 2*s**2 - 15*s/2 + 9.
-(s - 6)*(s - 3)**2/6
Suppose 4*w**2 + 504*w = 0. What is w?
-126, 0
Factor 4*t**4 - 312*t**3 - 988*t**2 + 1296*t.
4*t*(t - 81)*(t - 1)*(t + 4)
Find r such that -2*r**3/3 + 18*r**2 = 0.
0, 27
Determine k so that 2*k**3 + 40*k**2 + 74*k + 36 = 0.
-18, -1
Find a such that 165*a**3 - 320*a**2 - 20*a = 0.
-2/33, 0, 2
Determine m, given that -8*m**5/17 + 6*m**4/17 + 338*m**3/17 + 84*m**2/17 = 0.
-6, -1/4, 0, 7
Find n, given that 25*n**5/2 - 15*n**4/2 - 235*n**3/2 - 365*n**2/2 - 105*n - 20 = 0.
-1, -2/5, 4
Determine p, given that -54*p**5/11 - 120*p**4/11 - 24*p**3/11 + 108*p**2/11 + 78*p/11 + 12/11 = 0.
-1, -2/9, 1
Solve -s**2/6 + 39*s/2 - 58/3 = 0.
1, 116
Solve -2*z**5/11 + 26*z**4/11 - 80*z**3/11 + 72*z**2/11 = 0 for z.
0, 2, 9
Solve -2*f**4 + 38*f**3 + 686*f**2 - 12350*f - 12996 = 0 for f.
-18, -1, 19
Solve 45*q**3 - 3720*q**2 - 12775*q - 10750 = 0 for q.
-5/3, 86
Factor 3*u**4/2 + 363*u**3 + 43191*u**2/2 - 44286*u 