9
Let -g**2 + 712*g - 126736 = 0. What is g?
356
Factor 4*j**2/7 - 8*j - 128/7.
4*(j - 16)*(j + 2)/7
Suppose 9*d**4/7 - 42*d**3 - 2619*d**2/7 - 120*d = 0. What is d?
-7, -1/3, 0, 40
Factor 2*h**3/15 - 104*h**2 + 27040*h - 7030400/3.
2*(h - 260)**3/15
What is i in -60*i**4 - 128*i**3 + 148*i**2 - 24*i = 0?
-3, 0, 1/5, 2/3
Find a such that 2*a**5/7 + 10*a**4/7 - 16*a**3/7 - 96*a**2/7 = 0.
-4, 0, 3
Suppose -5*y**3 + 115*y**2 - 210*y = 0. Calculate y.
0, 2, 21
Find b such that 4*b**5 - 32*b**3 + 24*b**2 + 28*b - 24 = 0.
-3, -1, 1, 2
Find t, given that 5*t**2 - 440*t + 860 = 0.
2, 86
Solve h**3/5 + 78*h**2/5 - 32*h = 0.
-80, 0, 2
Factor -2*y**2/9 + 36*y - 1458.
-2*(y - 81)**2/9
Let 4*u**3 - 28*u**2 - 296*u + 672 = 0. What is u?
-7, 2, 12
Solve 2*v**2/7 + 68*v/7 + 128/7 = 0.
-32, -2
Factor 3*d**2 - 696*d - 2115.
3*(d - 235)*(d + 3)
Factor 4*c**2 + 512*c - 2112.
4*(c - 4)*(c + 132)
Factor -2*u**5 + 22*u**4 + 50*u**3 + 26*u**2.
-2*u**2*(u - 13)*(u + 1)**2
Determine d, given that -d**3 + 2*d**2 + 4*d - 8 = 0.
-2, 2
Factor 3*y**3 + 24*y**2 + 39*y + 18.
3*(y + 1)**2*(y + 6)
Let 4*r**5/3 - 52*r**4/3 - 128*r**3 + 2032*r**2/3 - 2176*r/3 = 0. What is r?
-8, 0, 2, 17
Factor -n**2 + 400*n - 40000.
-(n - 200)**2
Solve 2*o**4 + 146*o**3 - 2*o**2 - 146*o = 0 for o.
-73, -1, 0, 1
Suppose v**2 + 36*v + 243 = 0. Calculate v.
-27, -9
Find o, given that 16*o**5 - 20*o**4 - 26*o**3 + 48*o**2 - 18*o = 0.
-3/2, 0, 3/4, 1
What is y in 3*y**4 - 33*y**3 + 45*y**2 + 81*y = 0?
-1, 0, 3, 9
Solve 568*z**2/7 + 1703*z/7 - 3/7 = 0.
-3, 1/568
Factor 2*k**3/15 + 24*k**2/5 - 152*k/15.
2*k*(k - 2)*(k + 38)/15
Factor 4*f**4 + 16*f**3 + 12*f**2 - 16*f - 16.
4*(f - 1)*(f + 1)*(f + 2)**2
Factor 21*l**2 - 23*l + 2.
(l - 1)*(21*l - 2)
Solve 260*r**5 + 105*r**4 - 770*r**3 + 205*r**2 + 180*r + 20 = 0.
-2, -1/4, -2/13, 1
Find w, given that -4*w**2 + 3416*w = 0.
0, 854
Find z such that -z**4/4 - 5*z**3/4 + 7*z**2/2 = 0.
-7, 0, 2
Determine j, given that -2*j**2/11 + 60*j/11 - 112/11 = 0.
2, 28
Factor -2*i**4 - 10*i**3 + 2*i**2 + 34*i - 24.
-2*(i - 1)**2*(i + 3)*(i + 4)
Factor -4*d**4 + 4*d**3 + 4*d**2 - 4*d.
-4*d*(d - 1)**2*(d + 1)
Factor 9*r**3 - 6*r**2 - 900*r + 600.
3*(r - 10)*(r + 10)*(3*r - 2)
Solve 2*r**4/3 - 94*r**3/9 + 56*r**2/3 + 184*r/3 - 416/9 = 0 for r.
-2, 2/3, 4, 13
Solve 2*f**2 + 962*f + 960 = 0.
-480, -1
Factor 5*y**3 - 5*y**2 - 210*y.
5*y*(y - 7)*(y + 6)
Factor 5*f**5 + 5*f**4 - 10*f**3.
5*f**3*(f - 1)*(f + 2)
What is k in -4*k**4/7 + 4*k**3 - 20*k**2/7 - 4*k + 24/7 = 0?
-1, 1, 6
Find i such that -841*i**4 - 870*i**3 - 117*i**2/4 - i/4 = 0.
-1, -1/58, 0
Find v such that 4*v**2/3 - 264*v + 788/3 = 0.
1, 197
Find f, given that 2*f**4/17 + 110*f**3/17 + 106*f**2/17 - 110*f/17 - 108/17 = 0.
-54, -1, 1
Solve p**3/5 - 29*p**2/5 - 61*p/5 - 31/5 = 0.
-1, 31
Factor 100*y**5 + 3120*y**4 + 23056*y**3 - 19968*y**2 + 4096*y.
4*y*(y + 16)**2*(5*y - 2)**2
Factor -2*g**3/7 + 62*g**2/7 - 118*g/7 + 58/7.
-2*(g - 29)*(g - 1)**2/7
Factor -4*v**5 + 4*v**4 + 36*v**3 + 44*v**2 + 16*v.
-4*v*(v - 4)*(v + 1)**3
Determine b, given that 54*b**3 - 378*b**2 + 882*b - 686 = 0.
7/3
Let -m**4/4 + 45*m**3/4 + 3*m**2/4 - 137*m/4 + 45/2 = 0. What is m?
-2, 1, 45
Suppose -3*d**3/5 - 6*d**2/5 + 3*d/5 + 6/5 = 0. What is d?
-2, -1, 1
Let -6*g**3 - 268*g**2 - 434*g - 172 = 0. What is g?
-43, -1, -2/3
Suppose 2*t**2/3 + 122*t/3 - 520/3 = 0. What is t?
-65, 4
Let 2*p**2 + 268*p + 266 = 0. Calculate p.
-133, -1
Find w such that 3*w**3 - 1489*w**2/2 + 46252*w - 7688 = 0.
1/6, 124
Factor -4*l**2 + 132*l + 136.
-4*(l - 34)*(l + 1)
Suppose -3*p**2 - 2472*p - 509232 = 0. Calculate p.
-412
Determine o so that 36*o**4 + 36*o**3 - 436*o**2 - 4*o + 48 = 0.
-4, -1/3, 1/3, 3
Find z, given that 4*z**5 + 212*z**4 - 584*z**3 - 8272*z**2 - 19616*z - 14080 = 0.
-55, -2, 8
Factor -4*m**4 + 64*m**3 - 36*m**2 - 360*m.
-4*m*(m - 15)*(m - 3)*(m + 2)
Factor -w**3/7 + 159*w**2/7.
-w**2*(w - 159)/7
Determine n, given that -5*n**5 - 60*n**4 + 700*n**3 - 1920*n**2 + 1600*n = 0.
-20, 0, 2, 4
Factor 4*t**2 - 100*t + 264.
4*(t - 22)*(t - 3)
Let -2*t**5/9 - 70*t**4/9 - 36*t**3 + 548*t**2 - 1386*t + 882 = 0. What is t?
-21, 1, 3
Factor -2*k**3/9 + 8*k**2/3 - 58*k/9 - 28/3.
-2*(k - 7)*(k - 6)*(k + 1)/9
Factor -3*m**3/5 + 21*m**2/5 + 3*m - 45.
-3*(m - 5)**2*(m + 3)/5
Find h, given that 2*h**3/9 + 4*h**2 - 206*h/3 + 580/9 = 0.
-29, 1, 10
Factor -9*w**3 + 65*w**2 - 14*w.
-w*(w - 7)*(9*w - 2)
Determine h, given that -4*h**4 - 4456*h**3 - 1240996*h**2 = 0.
-557, 0
Factor -p**2 + 10*p - 25.
-(p - 5)**2
Let 9*f**3/5 + 132*f**2/5 + 201*f/5 + 78/5 = 0. What is f?
-13, -1, -2/3
What is c in 2*c**5/5 - 4*c**4 - 48*c**3/5 = 0?
-2, 0, 12
Solve 3*d**5/4 + 39*d**4/4 + 27*d**3/4 - 123*d**2/4 - 93*d/2 - 18 = 0.
-12, -1, 2
Find b, given that -2*b**4/13 + 22*b**3/13 + 96*b**2/13 - 152*b/13 - 224/13 = 0.
-4, -1, 2, 14
Find b such that 21*b**4 - 204*b**3 + 129*b**2 + 54*b = 0.
-2/7, 0, 1, 9
Factor 2*m**3/11 + 26*m**2/11 - 96*m/11.
2*m*(m - 3)*(m + 16)/11
Factor 5*u**2 + 20*u - 960.
5*(u - 12)*(u + 16)
Factor -3*d**2 + 705*d - 2088.
-3*(d - 232)*(d - 3)
Factor -a**3/7 - 732*a**2/7 - 178608*a/7 - 14526784/7.
-(a + 244)**3/7
Factor -3*z**3 - 12*z**2 - 9*z.
-3*z*(z + 1)*(z + 3)
Factor -6*a**3/7 - 92*a**2 + 432*a/7.
-2*a*(a + 108)*(3*a - 2)/7
Let f**5/4 + f**4/12 - 23*f**3/12 - 25*f**2/12 + 2*f/3 + 1 = 0. Calculate f.
-2, -1, 2/3, 3
Find j such that 3*j**5/7 + 33*j**4/7 + 72*j**3/7 = 0.
-8, -3, 0
Factor 3*c**2 - 120*c + 1200.
3*(c - 20)**2
Find d, given that -d**2 - 18*d - 81 = 0.
-9
Factor -578*w**3/7 - 2754*w**2/7 + 96*w - 40/7.
-2*(w + 5)*(17*w - 2)**2/7
Factor 3*i**2 + 204*i - 207.
3*(i - 1)*(i + 69)
Factor 5*v**2 - 2190*v + 239805.
5*(v - 219)**2
Factor -5*u**4 + 95*u**3 + 830*u**2 - 2000*u.
-5*u*(u - 25)*(u - 2)*(u + 8)
Find l such that 2*l**2/3 + 16*l/3 = 0.
-8, 0
Factor -14*f**4 - 136*f**3 - 86*f**2 + 36*f.
-2*f*(f + 1)*(f + 9)*(7*f - 2)
What is n in -6*n**4/11 + 54*n**3/11 + 378*n**2/11 + 570*n/11 + 252/11 = 0?
-3, -1, 14
Find d such that -108045*d**5/2 + 98049*d**4 + 35484*d**3 - 32184*d**2 + 2424*d - 48 = 0.
-2/3, 2/49, 2/5, 2
Factor -t**3/3 + 22*t**2 - 81*t - 310/3.
-(t - 62)*(t - 5)*(t + 1)/3
Factor 2*s**4/9 + 2*s**3/3 + 4*s**2/9.
2*s**2*(s + 1)*(s + 2)/9
Find q such that 75*q**5 + 155*q**4 - 200*q**3 - 600*q**2 - 400*q - 80 = 0.
-2, -1, -2/3, -2/5, 2
Determine y, given that -16*y**3/9 - 76*y**2/9 - 10*y - 2 = 0.
-3, -3/2, -1/4
Solve -d**2 - 1383*d - 1382 = 0.
-1382, -1
Factor -y**4 + 3*y**3 + 4*y**2 - 12*y.
-y*(y - 3)*(y - 2)*(y + 2)
Factor 5*x**4 - 630*x**3 + 29765*x**2 - 624960*x + 4920320.
5*(x - 32)**2*(x - 31)**2
Factor -2*t**3 + 44*t**2 + 8*t - 176.
-2*(t - 22)*(t - 2)*(t + 2)
What is k in -k**2/7 - 556*k/7 - 77284/7 = 0?
-278
Factor -o**2/6 - 7*o/3 - 13/6.
-(o + 1)*(o + 13)/6
Factor 4*v**4 - 828*v**3 + 2460*v**2 - 2452*v + 816.
4*(v - 204)*(v - 1)**3
Factor -603*n**2 - 1779*n + 90.
-3*(n + 3)*(201*n - 10)
Let 4*m**3 + 2316*m**2 + 331740*m - 1016172 = 0. Calculate m.
-291, 3
Solve -3*c**3/2 - 24*c**2 = 0 for c.
-16, 0
What is a in -a**2/6 - a + 8/3 = 0?
-8, 2
Determine v so that -3*v**5 - 5*v**4 + 38*v**3 + 108*v**2 + 56*v - 32 = 0.
-2, 1/3, 4
Suppose i**3/2 - 27*i**2/2 + 12*i + 26 = 0. What is i?
-1, 2, 26
Factor -o**3 - 1965*o**2 - 964323*o + 966289.
-(o - 1)*(o + 983)**2
Suppose -6*x**5/13 - 50*x**4/13 - 10*x**3 - 110*x**2/13 - 24*x/13 = 0. What is x?
-4, -3, -1, -1/3, 0
Factor z**3 - 852*z**2 + 241968*z - 22906304.
(z - 284)**3
Let -p**5 - 7*p**4 = 0. What is p?
-7, 0
Factor -n**5/4 + 267*n**4/4 - 12141*n**3/2 + 398547*n**2/2 - 4155381*n/4 + 5926527/4.
-(n - 87)**3*(n - 3)**2/4
Let 4*v**5 - 8*v**4 - 4*v**3 + 8*v**2 = 0. Calculate v.
-1, 0, 1, 2
Determine j so that j**4 + 8*j**3 - 21*j**2 - 8*j + 20 = 0.
-10, -1, 1, 2
Let 3*f**4/5 - 4467*f**3/5 + 4464*f**2/5 = 0. Calculate f.
0, 1, 1488
Let -5*p**2 + 825*p + 6020 = 0. What is p?
-7, 172
Suppose 5*v**3/4 + 35*v**2/4 + 55*v/4 + 25/4 = 0. Calculate v.
-5, -1
What is o in o**4/3 - 7*o**3/3 + 17*o**2/3 - 17*o/3 + 2 = 0?
1, 2, 3
Factor -y**2/4 - 7*y/4 - 5/2.
-(y + 2)*(y + 5)/4
Find p, given that -5*p**2/3 + 2*p/3 = 0.
0, 2/5
Determine l, given that -4*l**2 + 180*l - 344 = 0.
2, 43
Factor -2*h**2/7 + 170*h - 1188/7.
-2*(h - 594)*(h - 1)/7
Factor 2*t**4/11 - 20*t**3/11 + 18*t**2/11.
2*t**2*(t - 9)*(t - 1)/11
