0 = 0.
-5, -2, 2
Let -a**5/2 - 7*a**4/2 - 3*a**3/2 + 19*a**2/2 + 2*a - 6 = 0. Calculate a.
-6, -2, -1, 1
Solve 4*j**5 + 16*j**4 - 560*j**3 - 1160*j**2 + 556*j + 1144 = 0 for j.
-13, -2, -1, 1, 11
Suppose -3*d**4 + 168*d**3 - 3528*d**2 + 32928*d - 115248 = 0. Calculate d.
14
Factor n**4/2 - n**3/2 - 84*n**2 - 520*n - 896.
(n - 16)*(n + 4)**2*(n + 7)/2
Factor -2*w**5 + 36*w**4 - 120*w**3 + 112*w**2.
-2*w**2*(w - 14)*(w - 2)**2
Factor b**3/7 + 10*b**2/7 + 25*b/7.
b*(b + 5)**2/7
Determine f so that 5*f**3 + 1040*f**2 + 51940*f - 224720 = 0.
-106, 4
Let -4*k**5 + 444*k**4 - 432*k**3 - 880*k**2 = 0. Calculate k.
-1, 0, 2, 110
Factor -q**3/12 - 77*q**2/12 - 481*q/4 + 507/4.
-(q - 1)*(q + 39)**2/12
What is a in -14*a**2/9 + 160*a/3 - 136/9 = 0?
2/7, 34
Let 245*v**3/2 - 19005*v**2/2 + 5400*v - 770 = 0. What is v?
2/7, 77
Suppose x**3/2 - 347*x**2/6 + 284*x/3 + 38 = 0. What is x?
-1/3, 2, 114
Factor u**2/2 - 31*u/2.
u*(u - 31)/2
Solve -g**3/5 + 76*g**2/5 - 372*g + 2880 = 0 for g.
16, 30
Let 2*s**2/5 + 1166*s/5 - 3516/5 = 0. Calculate s.
-586, 3
Solve -5*l**3 - 345*l**2 + 360*l + 700 = 0 for l.
-70, -1, 2
Factor -2*b**4 - 10*b**3 - 6*b**2 + 18*b.
-2*b*(b - 1)*(b + 3)**2
Let 845*z**4 + 7150*z**3 + 20585*z**2 + 23100*z + 8820 = 0. Calculate z.
-42/13, -1
Suppose -2*t**2 - 28*t - 26 = 0. Calculate t.
-13, -1
Factor 4*i**4 + 600*i**3 + 29376*i**2 + 436968*i - 1591812.
4*(i - 3)*(i + 51)**3
Solve v**2/3 - 44*v/3 - 245/3 = 0.
-5, 49
Factor x**5 + 9*x**4 + 18*x**3 - 4*x**2 - 24*x.
x*(x - 1)*(x + 2)**2*(x + 6)
Solve -195*t**3 + 5856*t**2/5 - 7836*t/5 + 48/5 = 0 for t.
2/325, 2, 4
Factor 5*z**3 + 55*z**2 + 120*z.
5*z*(z + 3)*(z + 8)
Factor -z**2 + 2*z - 1.
-(z - 1)**2
Find v such that -3*v**4 + 24*v**3 - 57*v**2 + 36*v = 0.
0, 1, 3, 4
Suppose 5*v**3/6 + 175*v**2/3 + 2785*v/6 + 1220/3 = 0. What is v?
-61, -8, -1
Factor -2*a**4/7 - 16*a**3/7 - 32*a**2/7.
-2*a**2*(a + 4)**2/7
Factor 2*c**3/9 - 40*c**2/9 - 64*c/3.
2*c*(c - 24)*(c + 4)/9
Factor 27*a**4 + 126*a**3 + 147*a**2.
3*a**2*(3*a + 7)**2
Determine m, given that -2*m**3/11 + 26*m**2/11 - 10*m + 150/11 = 0.
3, 5
Let 2*i**2/15 - 58*i/15 + 16 = 0. What is i?
5, 24
Let -12*v**3 + 300*v**2 - 1971*v + 3888 = 0. What is v?
9/2, 16
Solve -a**5/5 + 2*a**4/5 + 21*a**3/5 + 22*a**2/5 - 4*a - 24/5 = 0 for a.
-2, -1, 1, 6
Determine l so that -2*l**3/5 + 116*l**2/5 - 114*l/5 = 0.
0, 1, 57
Solve 15*o**5 - 50*o**4 - 150*o**3 + 100*o**2 + 135*o - 50 = 0.
-2, -1, 1/3, 1, 5
Solve -5*d**3/6 + 5*d**2/6 + 5*d/6 - 5/6 = 0.
-1, 1
Factor 2*w**2/5 + 96*w/5 + 54.
2*(w + 3)*(w + 45)/5
Solve 10*l**5 + 784*l**4 + 3272*l**3 + 1184*l**2 = 0.
-74, -4, -2/5, 0
Factor -2*s**5/11 - 10*s**4/11 - 18*s**3/11 - 14*s**2/11 - 4*s/11.
-2*s*(s + 1)**3*(s + 2)/11
Let -2*t**5/5 + 28*t**4/5 - 104*t**3/5 + 132*t**2/5 - 54*t/5 = 0. Calculate t.
0, 1, 3, 9
Factor 4*k**3 - 4*k**2 - 56*k + 96.
4*(k - 3)*(k - 2)*(k + 4)
Find x such that 5*x**2 + 345*x + 5800 = 0.
-40, -29
Suppose -8*x**4/5 - 364*x**3/5 - 4048*x**2/5 + 2116*x/5 = 0. What is x?
-23, 0, 1/2
Factor -3*a**3 + 18*a**2 + 108*a + 120.
-3*(a - 10)*(a + 2)**2
Let 3*z**2 - 5340*z/7 + 1524/7 = 0. What is z?
2/7, 254
What is f in -15*f**4 + 200*f**3 - 835*f**2 + 850*f + 1000 = 0?
-2/3, 4, 5
What is c in 4*c**3/3 - 584*c**2/3 - 1180*c/3 - 592/3 = 0?
-1, 148
Find i such that -2*i**4/9 - 22*i**3/3 + 148*i**2/9 + 88*i/3 - 560/9 = 0.
-35, -2, 2
Find r, given that 1445*r**2 + 32980*r + 188180 = 0.
-194/17
Factor 9*q**3 - 138*q**2 - 99*q + 48.
3*(q - 16)*(q + 1)*(3*q - 1)
Find u, given that -2*u**3/17 - 1580*u**2/17 + 3166*u/17 - 1584/17 = 0.
-792, 1
Factor j**2 + 4680*j + 5475600.
(j + 2340)**2
Find o, given that -2*o**3/7 + 172*o**2/7 - 338*o/7 + 24 = 0.
1, 84
Solve -36*v**4 + 5772*v**3 - 13336*v**2 + 10128*v - 2528 = 0.
2/3, 1, 158
Factor -12*o**3 - 3*o**2 + 42*o - 27.
-3*(o - 1)**2*(4*o + 9)
Factor -x**3 + 32*x**2 - 116*x + 112.
-(x - 28)*(x - 2)**2
Factor -3*o**3/5 - 57*o**2 - 525*o - 1275.
-3*(o + 5)**2*(o + 85)/5
Factor -d**2 - 1465*d + 2934.
-(d - 2)*(d + 1467)
Factor -4*y**3 - 206*y**2 - 5505*y/4 - 2475.
-(y + 44)*(4*y + 15)**2/4
What is a in -45*a**5 - 505*a**4 - 785*a**3 + 2865*a**2 - 1130*a - 400 = 0?
-8, -5, -2/9, 1
Factor -2*q**2/7 + 54*q/7 - 52/7.
-2*(q - 26)*(q - 1)/7
Find k, given that k**2 + 16*k + 64 = 0.
-8
Solve a**5 + 16*a**4 + 12*a**3 - 50*a**2 - 77*a - 30 = 0.
-15, -1, 2
Suppose 2*z**2/9 + 26*z/3 + 24 = 0. Calculate z.
-36, -3
Suppose 2*i**4/7 + 20*i**3/7 - 78*i**2/7 = 0. What is i?
-13, 0, 3
Let -8*f**5/7 - 18*f**4/7 - 12*f**3/7 - 2*f**2/7 = 0. Calculate f.
-1, -1/4, 0
Factor 2*l**3 - 16*l**2 + 24*l.
2*l*(l - 6)*(l - 2)
Determine c, given that 2*c**3/9 + 422*c**2 - 3800*c/9 = 0.
-1900, 0, 1
Solve 6*o**4/7 + 38*o**3/7 - 76*o**2/7 + 32*o/7 = 0 for o.
-8, 0, 2/3, 1
Let -j**2/5 + 393*j/5 = 0. What is j?
0, 393
Factor -2*w**2/3 + 15824*w/3 - 31299872/3.
-2*(w - 3956)**2/3
Factor -2*r**2 + 32*r - 78.
-2*(r - 13)*(r - 3)
Factor t**2 - 280*t - 281.
(t - 281)*(t + 1)
Factor 3*q**4 + 432*q**3.
3*q**3*(q + 144)
Let 4*a**4 + 132*a**3 + 924*a**2 - 2260*a + 1200 = 0. Calculate a.
-20, -15, 1
Factor 2*p**3/19 + 128*p**2/19 + 2048*p/19.
2*p*(p + 32)**2/19
Let -u**4/2 - 23*u**3/2 - 28*u**2 + 46*u + 120 = 0. What is u?
-20, -3, -2, 2
Determine u so that -2*u**4/15 + 4*u**2/5 + 16*u/15 + 2/5 = 0.
-1, 3
Solve -198*z**4/7 - 872*z**3/7 - 160*z**2 - 352*z/7 - 32/7 = 0.
-2, -2/9, -2/11
Factor 2*g**2/13 + 68*g/13 - 144/13.
2*(g - 2)*(g + 36)/13
Factor -27*z**2 - 84*z.
-3*z*(9*z + 28)
Find q, given that -2*q**5/9 - 2*q**4/3 + 2*q**3/9 + 2*q**2/3 = 0.
-3, -1, 0, 1
Factor -4*g**4 + 88*g**3 + 2220*g**2.
-4*g**2*(g - 37)*(g + 15)
Factor 5*w**2/2 - 55*w/2 + 75.
5*(w - 6)*(w - 5)/2
Factor w**5/3 - 91*w**4/3 + 439*w**3/3 - 781*w**2/3 + 604*w/3 - 172/3.
(w - 86)*(w - 2)*(w - 1)**3/3
Solve r**4/2 - 3*r**2/2 + r = 0 for r.
-2, 0, 1
Determine v, given that 3*v**4 - 3*v**3 - 3*v**2 + 3*v = 0.
-1, 0, 1
Factor -9996*x**3 + 728*x**2 + 400*x/3 - 32/3.
-4*(17*x + 2)*(21*x - 2)**2/3
Determine h, given that -3*h**2/4 + 132*h - 2541 = 0.
22, 154
Factor -5*r**5 - 65*r**4 + 105*r**3 + 4165*r**2 + 13720*r.
-5*r*(r - 8)*(r + 7)**3
Suppose -2*n**4/7 - 194*n**3/7 + 394*n**2/7 - 198*n/7 = 0. Calculate n.
-99, 0, 1
Factor -3*d**3 + 75*d**2 + 114*d - 936.
-3*(d - 26)*(d - 3)*(d + 4)
Determine l so that 5*l**3 - 245*l**2 + 3120*l - 2880 = 0.
1, 24
Find x such that -2*x**2/15 + 44*x/15 + 46/15 = 0.
-1, 23
Factor 5*l**4 - 2660*l**3 + 530670*l**2 - 47052740*l + 1564503605.
5*(l - 133)**4
Let 2*m**3/3 + 20*m**2/3 = 0. What is m?
-10, 0
Factor 2*d**4 - 14*d**3 - 80*d**2 - 88*d.
2*d*(d - 11)*(d + 2)**2
Suppose -6*d**5/11 - 6*d**4/11 + 18*d**3/11 + 6*d**2/11 - 12*d/11 = 0. What is d?
-2, -1, 0, 1
Solve 3*x**3/5 - 57*x**2/5 + 312*x/5 - 528/5 = 0.
4, 11
Factor -s**3/5 + 2*s**2/5 + 16*s/5 - 32/5.
-(s - 4)*(s - 2)*(s + 4)/5
Factor -f**4/2 + 19*f**3/2 - 101*f**2/2 + 149*f/2 - 33.
-(f - 11)*(f - 6)*(f - 1)**2/2
Let -l**3/3 + 4*l**2 + 21*l - 90 = 0. What is l?
-6, 3, 15
Let -3*f**3 + 97*f**2 + 168*f + 68 = 0. Calculate f.
-1, -2/3, 34
Factor t**3 - 82*t**2 + 81*t.
t*(t - 81)*(t - 1)
Determine z, given that 512*z**2/13 + 448*z/13 + 98/13 = 0.
-7/16
Suppose 2*y**3/9 + 10*y**2/9 - 28*y/9 = 0. What is y?
-7, 0, 2
Suppose 6*d**2 - 32*d/3 - 8/3 = 0. What is d?
-2/9, 2
What is n in -n**3/3 + 932*n**2/3 + 1867*n/3 + 934/3 = 0?
-1, 934
Solve -2*r**4/9 + 44*r**3/3 + 440*r**2/3 + 2300*r/9 - 1250/3 = 0 for r.
-5, 1, 75
Factor -q**3 - 22*q**2 - 153*q - 324.
-(q + 4)*(q + 9)**2
Factor 5*y**5 + 200*y**4 + 2520*y**3 + 7840*y**2 - 27440*y.
5*y*(y - 2)*(y + 14)**3
Factor 2*u**4/3 - 766*u**3/3 + 73726*u**2/3 - 72962*u/3.
2*u*(u - 191)**2*(u - 1)/3
Factor 2*g**3 - 122*g**2.
2*g**2*(g - 61)
Factor 3*d**3/4 - 789*d**2 - 3165*d - 3168.
3*(d - 1056)*(d + 2)**2/4
Suppose -18*u**4/7 - 8*u**3 + 54*u**2/7 + 204*u/7 + 16 = 0. Calculate u.
-28/9, -1, 2
Find n such that 4*n**4 - 1768*n**3 + 5276*n**2 - 3512*n = 0.
0, 1, 2, 439
Let -2*w**2 + 118*w - 1520 = 0. What is w?
19, 40
Factor l**4/2 + 1032*l**3 + 531479*l**2 - 1066056*l + 1067089/2.
(l - 1)**2*(l + 1033)**2/2
Find a such that a**3 + 63*a**2 - 129*a + 65 = 0.
-65, 1
Factor 2*k**3/7 - 1570*k**2/7 + 44128*k - 43904.
2*(k - 392)**2*(k - 1)/7
Factor -t**3/5 + 2011*t**2/5.
-t**2*(t - 2011)/5
Factor -a**3 - 35*a**2 - 392*a - 1372.
-(a + 