, 0, 1
Let 25*r**5 + 55*r**4 - 335*r**3 + 145*r**2 + 310*r - 200 = 0. Calculate r.
-5, -1, 4/5, 1, 2
Suppose 20*m**4/9 - 64*m**3/3 + 140*m**2/3 + 200*m/9 = 0. What is m?
-2/5, 0, 5
Suppose -2*q**5 - 70*q**4 + 228*q**3 = 0. What is q?
-38, 0, 3
Factor -2*l**4 - 46*l**3 - 320*l**2 - 600*l.
-2*l*(l + 3)*(l + 10)**2
Determine r so that 10*r**5 - 66*r**4 + 92*r**3 + 88*r**2 - 144*r - 64 = 0.
-1, -2/5, 2, 4
Let -2*y**4 + 14*y**3 + 18*y**2 - 14*y - 16 = 0. Calculate y.
-1, 1, 8
Solve -3*s**3/7 + 9*s/7 + 6/7 = 0.
-1, 2
Determine x, given that -2*x**3 + 86*x**2 - 240*x = 0.
0, 3, 40
Determine z, given that -z**4 + 23*z**3 - 17*z**2 - 107*z - 66 = 0.
-1, 3, 22
What is w in -3*w**4/2 - 5523*w**3 - 10167843*w**2/2 = 0?
-1841, 0
Let 2*g**5/5 + 8*g**4/5 + 6*g**3/5 - 8*g**2/5 - 8*g/5 = 0. Calculate g.
-2, -1, 0, 1
Find x such that -4*x**2 - 52*x - 48 = 0.
-12, -1
Find c such that 3*c**5 - 18*c**4 - 36*c**3 + 210*c**2 + 225*c = 0.
-3, -1, 0, 5
What is p in -7*p**5/4 + 281*p**4/2 - 2841*p**3/4 + 2497*p**2/2 - 827*p + 150 = 0?
2/7, 1, 2, 75
Suppose -2*w**2 - 62*w - 116 = 0. What is w?
-29, -2
Suppose -3*j**5/8 - 3*j**4/4 + 237*j**3/4 - 57*j**2 - 471*j/8 + 231/4 = 0. Calculate j.
-14, -1, 1, 11
Let 2*t**4/7 + 14*t**3 - 206*t**2/7 - 14*t + 204/7 = 0. Calculate t.
-51, -1, 1, 2
Find q such that 2*q**3/17 - 6*q/17 + 4/17 = 0.
-2, 1
Factor -2*a**4/7 - 6*a**3/7 + 48*a**2/7 - 8*a.
-2*a*(a - 2)**2*(a + 7)/7
Suppose -7*z**3/4 + 159*z**2/4 + 107*z/2 + 12 = 0. What is z?
-1, -2/7, 24
Factor -y**2 - 890*y - 198025.
-(y + 445)**2
Factor 3*l**3 + 4419*l**2 + 2169729*l + 355112313.
3*(l + 491)**3
Factor c**5/2 - 119*c**4/2 + 3819*c**3/2 - 16245*c**2/2.
c**2*(c - 57)**2*(c - 5)/2
Suppose -4*t**5 + 260*t**4 - 4600*t**3 + 12280*t**2 - 11780*t + 3844 = 0. What is t?
1, 31
Find y, given that -2*y**4/3 - 646*y**3/3 + 652*y**2 - 8*y/3 - 2608/3 = 0.
-326, -1, 2
Factor -5*h**3 - 105*h**2 + 225*h - 115.
-5*(h - 1)**2*(h + 23)
Find k, given that 4*k**2 + 156*k + 296 = 0.
-37, -2
Factor b**4 - 289*b**3 + 21588*b**2 - 101956*b + 80656.
(b - 142)**2*(b - 4)*(b - 1)
Factor u**3 - 29*u**2 - 553*u - 2107.
(u - 43)*(u + 7)**2
Suppose -c**3/3 + 23*c**2 - 134*c/3 = 0. What is c?
0, 2, 67
What is v in 15*v**3 - 9051*v**2 + 3618*v = 0?
0, 2/5, 603
Suppose x**2/6 - 2*x - 14/3 = 0. What is x?
-2, 14
Factor 5*q**2/4 + 140*q.
5*q*(q + 112)/4
Factor -2*q**4/5 + 4*q**3/5 + 6*q**2/5 - 8*q/5 - 8/5.
-2*(q - 2)**2*(q + 1)**2/5
Suppose -3*z**5 - 30*z**4 - 18*z**3 + 96*z**2 + 141*z + 54 = 0. What is z?
-9, -1, 2
Factor 4*n**2 + 112*n + 784.
4*(n + 14)**2
Solve -2*u**5/7 + 8*u**4/7 + 46*u**3/7 - 324*u**2/7 + 648*u/7 - 432/7 = 0 for u.
-6, 2, 3
Let -u**2 + 1039*u - 1038 = 0. Calculate u.
1, 1038
Factor 2*t**2/13 - 82*t/13 - 264/13.
2*(t - 44)*(t + 3)/13
Find v such that 6*v**5/5 - 112*v**4/5 + 352*v**3/5 - 332*v**2/5 + 26*v/5 + 12 = 0.
-1/3, 1, 2, 15
Factor -h**3/4 + 105*h**2/2 - 3675*h + 85750.
-(h - 70)**3/4
Factor 5*f**5 + 45*f**4 + 30*f**3 - 80*f**2.
5*f**2*(f - 1)*(f + 2)*(f + 8)
Determine b so that 5*b**4 - 230*b**3 + 2640*b**2 + 230*b - 2645 = 0.
-1, 1, 23
Suppose 63*s**2/5 + 813*s/5 - 78/5 = 0. What is s?
-13, 2/21
Determine n, given that -21*n**4/5 + 2178*n**3/5 + 129*n**2 - 2178*n/5 - 624/5 = 0.
-1, -2/7, 1, 104
Factor 3*i**5/2 - 711*i**4 + 2124*i**3 - 2121*i**2 + 1413*i/2.
3*i*(i - 471)*(i - 1)**3/2
Solve x**5/6 - 65*x**4/6 + 381*x**3/2 - 2623*x**2/6 - 2294*x/3 + 1922 = 0.
-2, 2, 3, 31
Suppose -4*w**5 + 8*w**4 + 28*w**3 - 32*w**2 - 48*w = 0. What is w?
-2, -1, 0, 2, 3
Find x such that -5*x**5/4 + 21*x**4/2 - 101*x**3/4 + 21*x**2 - 5*x = 0.
0, 2/5, 1, 2, 5
Let -8*g**4/17 + 2*g**3 - 8*g**2/17 = 0. Calculate g.
0, 1/4, 4
Determine y so that -50*y**3/11 + 2440*y**2/11 - 1928*y/11 + 384/11 = 0.
2/5, 48
Factor -l**4/2 + l**3/2 + 3*l**2/2 - l/2 - 1.
-(l - 2)*(l - 1)*(l + 1)**2/2
Factor i**4 - 13*i**3 + 18*i**2 + 324*i - 1080.
(i - 6)**3*(i + 5)
Factor 3*x**4 + 39*x**3 + 150*x**2 + 168*x.
3*x*(x + 2)*(x + 4)*(x + 7)
Find p such that -44*p**4/3 + 536*p**3/3 - 580*p**2/3 + 88*p/3 = 0.
0, 2/11, 1, 11
Determine m so that 15*m**3/2 - 72*m**2 - 450*m - 168 = 0.
-4, -2/5, 14
Factor -2*u**2 + 148*u + 960.
-2*(u - 80)*(u + 6)
Factor -l**3 + l**2 + 8*l - 12.
-(l - 2)**2*(l + 3)
Suppose -52*a**4 + 672*a**3 - 468*a**2 - 1288*a - 96 = 0. What is a?
-1, -1/13, 2, 12
Determine p, given that 2*p**4/19 + 40*p**3/19 + 138*p**2/19 + 164*p/19 + 64/19 = 0.
-16, -2, -1
Factor 4*m**2/3 - 3376*m/3.
4*m*(m - 844)/3
Determine v so that -v**3/2 - 17*v**2/2 - 32*v - 24 = 0.
-12, -4, -1
Factor -4*d**3 - 204*d**2 - 1872*d.
-4*d*(d + 12)*(d + 39)
Factor -5*i**2 - 990*i + 2000.
-5*(i - 2)*(i + 200)
Factor 4*w**4 - 132*w**3 + 96*w**2 + 1072*w - 1536.
4*(w - 32)*(w - 2)**2*(w + 3)
Solve 2*g**5/9 - 40*g**4/9 - 346*g**3/9 + 872*g**2/9 + 344*g/9 - 832/9 = 0.
-8, -1, 1, 2, 26
Solve -2*v**2/17 + 586*v/17 - 136 = 0.
4, 289
Suppose n**2/3 - 4*n/3 - 5/3 = 0. What is n?
-1, 5
Determine q so that -2*q**4/9 + 1960*q**3/9 - 240100*q**2/3 + 117649000*q/9 - 7206001250/9 = 0.
245
Factor -3*f**3 + 975*f**2 + 3*f - 975.
-3*(f - 325)*(f - 1)*(f + 1)
Determine m so that -m**5 + m**4 + 13*m**3 - m**2 - 48*m - 36 = 0.
-2, -1, 3
Suppose u**2/8 - 85*u/4 + 42 = 0. What is u?
2, 168
Factor 2*c**4 + 208*c**3 + 202*c**2 - 412*c.
2*c*(c - 1)*(c + 2)*(c + 103)
Find a such that a**2/10 + 1548*a/5 + 1198152/5 = 0.
-1548
Let -4*c**4 - 136*c**3 - 1156*c**2 = 0. What is c?
-17, 0
Determine l, given that -4*l**5 + 28*l**4 - 40*l**3 - 72*l**2 + 108*l + 108 = 0.
-1, 3
Factor z**2/8 + 121*z/4.
z*(z + 242)/8
Solve f**2 - 64*f - 345 = 0.
-5, 69
Suppose -d**2/4 - 65*d/8 - 231/4 = 0. What is d?
-22, -21/2
Find m, given that -4*m**2 + 1072*m - 71824 = 0.
134
Factor -3*w**4/4 - 3*w**3 + 15*w**2/4.
-3*w**2*(w - 1)*(w + 5)/4
Factor -3*p**2 - 39*p - 66.
-3*(p + 2)*(p + 11)
Determine k, given that 27*k**5 - 102*k**4 - 564*k**3 + 1176*k**2 + 288*k = 0.
-4, -2/9, 0, 2, 6
Factor 2*s**2 + 168*s + 328.
2*(s + 2)*(s + 82)
Factor -2*w**5/9 - 532*w**4/9 - 11968*w**3/3 - 7744*w**2.
-2*w**2*(w + 2)*(w + 132)**2/9
Factor 3*q**4/8 - 11*q**3/8 - 37*q**2/8 - 29*q/8 - 3/4.
(q - 6)*(q + 1)**2*(3*q + 1)/8
Suppose -2*l**5/15 - 42*l**4/5 - 2042*l**3/15 - 558*l**2/5 + 3844*l/15 = 0. What is l?
-31, -2, 0, 1
Solve -21*u**5/2 - 69*u**4/2 - 30*u**3 - 6*u**2 = 0.
-2, -1, -2/7, 0
Determine c so that 4*c**3 - 56*c**2 - 124*c - 64 = 0.
-1, 16
Suppose 2*a**2 + 60*a + 450 = 0. What is a?
-15
Determine r, given that -r**2/2 - 43*r + 87/2 = 0.
-87, 1
Suppose -4*l**5 + 12*l**3 - 8*l**2 = 0. Calculate l.
-2, 0, 1
Suppose -h**5/3 - 350*h**4/3 - 49000*h**3/3 - 3430000*h**2/3 - 120050000*h/3 - 1680700000/3 = 0. Calculate h.
-70
Factor 3*i**2 + 51*i + 216.
3*(i + 8)*(i + 9)
Factor 3*m**3 - 3*m**2 - 12*m + 12.
3*(m - 2)*(m - 1)*(m + 2)
Factor -3*v**2 + 300*v + 303.
-3*(v - 101)*(v + 1)
Factor 2*o**3 - 9192*o**2 + 14082144*o - 7191281536.
2*(o - 1532)**3
Suppose t**2 + 740*t + 136900 = 0. Calculate t.
-370
Determine d so that d**5/3 + 5*d**4 - 9*d**3 - 715*d**2/3 + 242*d = 0.
-11, 0, 1, 6
Suppose -5*d**4 + 5525*d**3 - 1529040*d**2 + 1523520*d = 0. What is d?
0, 1, 552
Factor -5*u**3 + 390*u**2 + 815*u - 1200.
-5*(u - 80)*(u - 1)*(u + 3)
Factor -5*m**2 + 173*m + 70.
-(m - 35)*(5*m + 2)
Let 5*m**5/3 + 23*m**4/3 + 5*m**3/3 - 31*m**2/3 - 10*m/3 + 8/3 = 0. What is m?
-4, -1, 2/5, 1
Factor t**2 + 412*t + 411.
(t + 1)*(t + 411)
Suppose 2*g**2/15 - 5396*g/15 + 3639602/15 = 0. Calculate g.
1349
Factor -2*u**2/11 + 652*u/11.
-2*u*(u - 326)/11
What is w in -w**3/8 + 13*w**2/8 + 7*w/4 = 0?
-1, 0, 14
Factor -3*a**4 + 24*a**3 - 66*a**2 + 72*a - 27.
-3*(a - 3)**2*(a - 1)**2
Let -8*p**4 + 126*p**3 + 168*p**2 + 34*p = 0. What is p?
-1, -1/4, 0, 17
Let -5*m**4 - 110*m**3 + 125*m**2 + 230*m = 0. Calculate m.
-23, -1, 0, 2
Factor m**3/3 + 19*m**2.
m**2*(m + 57)/3
Suppose 2*i**4 + 4*i**3 - 32*i**2 - 4*i + 30 = 0. Calculate i.
-5, -1, 1, 3
Factor 2*d**2 + 632*d + 49928.
2*(d + 158)**2
Factor -4*i**3 - 468*i**2 - 13920*i - 13456.
-4*(i + 1)*(i + 58)**2
Factor -3*s**3/4 + 113*s**2/4 - 91*s/2 + 18.
-(s - 36)*(s - 1)*(3*s - 2)/4
Find k, given that 2*k**2/13 + 764*k/13 - 1536/13 = 0.
-384, 2
Factor 3*o**3/4 - 2631*o**2/4 + 657*o.
3*o*(o - 876)*(o - 1)/4
What is f in -f**3 - 242*f**2 - 14880*f - 28800 = 0?
-120, -2
Solve -4*a**5 + 16*a**3 = 0.
-2, 0