 0. Calculate h.
2, 28
Factor -2*m**2 - 1240*m.
-2*m*(m + 620)
Factor -12*r**3 + 390*r**2 + 789*r/4 + 99/4.
-3*(r - 33)*(4*r + 1)**2/4
Factor -4*c**2 - 36*c - 80.
-4*(c + 4)*(c + 5)
Factor -2*y**3/3 + 200*y**2/3 - 776*y/3 + 256.
-2*(y - 96)*(y - 2)**2/3
What is u in 16*u**4 - 68*u**3 - 64*u**2 + 20*u = 0?
-1, 0, 1/4, 5
Determine k so that -2*k**4 - 84*k**3 - 960*k**2 - 1600*k = 0.
-20, -2, 0
Find j such that 46*j**3/15 - 104*j**2/15 + 14*j/3 - 4/5 = 0.
6/23, 1
What is b in 2*b**5/3 - 56*b**4 - 2*b**3 + 500*b**2/3 + 112*b = 0?
-1, 0, 2, 84
Factor -2*g**2/5 - 336*g/5 + 338/5.
-2*(g - 1)*(g + 169)/5
Factor -2*v**4 - 62*v**3 - 310*v**2 - 250*v.
-2*v*(v + 1)*(v + 5)*(v + 25)
Factor 3*t**2 - 66*t - 225.
3*(t - 25)*(t + 3)
Determine z, given that -2*z**4/7 + 66*z**3/7 - 510*z**2/7 - 578*z/7 = 0.
-1, 0, 17
Let -z**3 + 21*z**2 + 24*z - 44 = 0. What is z?
-2, 1, 22
Factor -5*q**2/2 + 185*q/2 - 525.
-5*(q - 30)*(q - 7)/2
Factor -2*r**3/13 - 12*r**2/13 - 18*r/13 - 8/13.
-2*(r + 1)**2*(r + 4)/13
Factor 5*l**3 + 45*l**2 - 350*l.
5*l*(l - 5)*(l + 14)
Find m such that 2*m**3/5 + 6*m**2/5 - 18*m/5 + 2 = 0.
-5, 1
Factor w**2/2 - 8*w - 225/2.
(w - 25)*(w + 9)/2
Suppose 5*w**2 - 895*w + 890 = 0. What is w?
1, 178
Factor -3*t**5/4 + 147*t**4/4 - 1005*t**3/2 + 2589*t**2/2 - 4899*t/4 + 1587/4.
-3*(t - 23)**2*(t - 1)**3/4
What is t in -t**5/2 + 39*t**4 - 870*t**3 + 4324*t**2 - 8064*t + 5184 = 0?
2, 36
Find q such that -q**5/6 - 5*q**4/6 - 5*q**3/6 + 5*q**2/6 + q = 0.
-3, -2, -1, 0, 1
Find y, given that 147*y**5 - 1239*y**4 - 2214*y**3 - 948*y**2 - 120*y = 0.
-1, -2/7, 0, 10
Let -3*j**4 - 78*j**3 - 648*j**2 - 2208*j - 2688 = 0. What is j?
-14, -4
Solve 3*i**3 + 87*i**2 - 183*i + 93 = 0.
-31, 1
Factor 2*z**4/11 + 188*z**3/11 - 1176*z**2/11 + 2384*z/11 - 1600/11.
2*(z - 2)**3*(z + 100)/11
Let -4*d**2/5 + 456*d/5 - 2592/5 = 0. What is d?
6, 108
What is g in -5*g**5 - 45*g**4 - 35*g**3 + 45*g**2 + 40*g = 0?
-8, -1, 0, 1
Factor -m**4 - 12*m**3 - 39*m**2 - 28*m.
-m*(m + 1)*(m + 4)*(m + 7)
What is x in 2*x**2/7 - 128*x/7 + 18 = 0?
1, 63
Find i such that 2*i**5 + 32*i**4 + 76*i**3 - 32*i**2 - 78*i = 0.
-13, -3, -1, 0, 1
Factor h**4/3 + 2*h**3/3 + h**2/3.
h**2*(h + 1)**2/3
Solve 4*v**4 + 300*v**3 + 292*v**2 - 300*v - 296 = 0.
-74, -1, 1
Solve 38*z**2/5 - 156*z/5 + 16/5 = 0.
2/19, 4
Determine u, given that -5*u**5 - 95*u**4 + 205*u**3 - 105*u**2 = 0.
-21, 0, 1
Factor 2*n**2/5 + 78*n/5 + 756/5.
2*(n + 18)*(n + 21)/5
Suppose -3*u**4 + 156*u**3 - 2166*u**2 + 3300*u + 5625 = 0. Calculate u.
-1, 3, 25
Factor -2*q**5 + 14*q**4 + 34*q**3 + 18*q**2.
-2*q**2*(q - 9)*(q + 1)**2
Factor 2*j**2/3 + 254*j/3 - 256/3.
2*(j - 1)*(j + 128)/3
What is v in -2*v**5/5 + 4*v**4/5 + 24*v**3/5 - 76*v**2/5 + 74*v/5 - 24/5 = 0?
-4, 1, 3
Factor -4*o**4/3 - 40*o**3/3 - 32*o**2 - 88*o/3 - 28/3.
-4*(o + 1)**3*(o + 7)/3
Determine b, given that 8*b**5/5 + 192*b**4/5 - 1166*b**3/5 - 142*b**2/5 + 918*b/5 - 58 = 0.
-29, -1, 1/2, 5
Factor -n**2/5 + 6*n/5 + 7/5.
-(n - 7)*(n + 1)/5
Factor -3*s**5 + 1383*s**4 - 158697*s**3 - 160083*s**2.
-3*s**2*(s - 231)**2*(s + 1)
Factor y**4 - 57*y**3/2 + 41*y**2 - 27*y/2.
y*(y - 27)*(y - 1)*(2*y - 1)/2
Solve 2*h**2/3 + 244*h = 0.
-366, 0
Solve 4*a**3 + 484*a**2 + 1424*a + 944 = 0.
-118, -2, -1
Suppose 35*l**3 + 8690*l**2 - 6235*l - 2490 = 0. What is l?
-249, -2/7, 1
Factor 2*p**2/11 - 128*p/11.
2*p*(p - 64)/11
Factor 5*b**2 - 10420*b - 20860.
5*(b - 2086)*(b + 2)
Factor 40*z**2 + 4842*z + 242.
2*(z + 121)*(20*z + 1)
Let -8*c**3 + 62*c**2 - 122*c + 60 = 0. Calculate c.
3/4, 2, 5
Determine q so that q**2 - 196*q + 9604 = 0.
98
What is j in -4*j**2 + 5224*j = 0?
0, 1306
Let -3*q**4 + 3*q**3 + 51*q**2 + 45*q = 0. What is q?
-3, -1, 0, 5
Let 2*j**5 - 36*j**4 - 2*j**3 + 36*j**2 = 0. Calculate j.
-1, 0, 1, 18
Factor 4*i**4 - 896*i**3 + 51064*i**2 - 99456*i + 49284.
4*(i - 111)**2*(i - 1)**2
Factor 2*f**4/7 + 6*f**3/7 + 4*f**2/7.
2*f**2*(f + 1)*(f + 2)/7
Solve -h**2/3 - 13*h/3 - 22/3 = 0 for h.
-11, -2
Determine b so that b**5/5 - 2*b**4/5 - b**3/5 + 2*b**2/5 = 0.
-1, 0, 1, 2
Factor -14*z**2 - 1124*z - 320.
-2*(z + 80)*(7*z + 2)
Determine f so that 2*f**3/5 - 492*f**2/5 - 198*f - 496/5 = 0.
-1, 248
Let -2*h**2/5 - 156*h/5 - 154/5 = 0. What is h?
-77, -1
Factor -v**2 + 253*v.
-v*(v - 253)
Find k, given that 2*k**2 + 2092*k + 547058 = 0.
-523
Find d such that 4*d**4 + 300*d**3 - 627*d**2 - 850*d - 231 = 0.
-77, -1/2, 3
Let -21*c**5 + 83*c**4 + 125*c**3 - 63*c**2 - 64*c + 20 = 0. What is c?
-1, 2/7, 2/3, 5
Factor 2*l**3/3 - 70*l**2/3 + 550*l/3 - 1250/3.
2*(l - 25)*(l - 5)**2/3
Factor -4*o**2 - 4*o + 80.
-4*(o - 4)*(o + 5)
Let -3*v**5/8 - 3*v**4/4 + 3*v**3/8 + 3*v**2/4 = 0. Calculate v.
-2, -1, 0, 1
Determine k, given that -5*k**4 - 30*k**3 + 15*k**2 + 100*k + 60 = 0.
-6, -1, 2
Let -4*u**3/3 + 112*u**2/3 + 16*u/3 - 448/3 = 0. Calculate u.
-2, 2, 28
Suppose 4*m**3 + 428*m**2/5 - 272*m/5 - 176/5 = 0. What is m?
-22, -2/5, 1
Factor 3*z**5 + 1002*z**4 - 1014*z**3 - 3000*z**2 + 5019*z - 2010.
3*(z - 1)**3*(z + 2)*(z + 335)
What is h in -3*h**4/5 - 12*h**3/5 + 132*h**2/5 + 288*h/5 - 1728/5 = 0?
-6, 4
Solve z**2 + 1002*z - 1003 = 0.
-1003, 1
What is m in -m**5/2 + 7*m**3/2 + 3*m**2 = 0?
-2, -1, 0, 3
Factor 2*i**2 - 26*i + 44.
2*(i - 11)*(i - 2)
Factor -2*g**2 + 72*g + 234.
-2*(g - 39)*(g + 3)
Factor 4*p**3 - 124*p**2 - 1200*p - 1872.
4*(p - 39)*(p + 2)*(p + 6)
Let -2*q**3/13 + 20*q**2/13 - 46*q/13 + 28/13 = 0. What is q?
1, 2, 7
Solve -4*x**3 + 56*x**2 - 112*x - 480 = 0 for x.
-2, 6, 10
Factor 3*b**3/8 - 9*b**2/4 + 33*b/8 - 9/4.
3*(b - 3)*(b - 2)*(b - 1)/8
Let 2*t**4 - 10*t**2 + 8 = 0. What is t?
-2, -1, 1, 2
What is b in b**2/3 + 400*b + 120000 = 0?
-600
Factor -3*v**2 + 66*v + 69.
-3*(v - 23)*(v + 1)
Factor 5*t**5 + 485*t**4 + 2300*t**3.
5*t**3*(t + 5)*(t + 92)
Let 11*n**2 + 68*n + 12 = 0. Calculate n.
-6, -2/11
What is l in l**5/3 - 10*l**4 + 52*l**3/3 + 40*l**2 - 224*l/3 = 0?
-2, 0, 2, 28
Suppose 164*o**4 + 32*o**3 - 164*o**2 - 32*o = 0. Calculate o.
-1, -8/41, 0, 1
Let 4*g**3 + 46032*g**2 + 176578752*g + 225785364224 = 0. What is g?
-3836
Let 6*u**2/5 + 716*u/5 - 96 = 0. Calculate u.
-120, 2/3
Factor -2*z**3 - 484*z**2 - 29760*z - 57600.
-2*(z + 2)*(z + 120)**2
Determine f, given that 3*f**3 - 759*f**2 + 46848*f + 147456 = 0.
-3, 128
Determine u so that u**3 - 1495*u**2 - 2994*u = 0.
-2, 0, 1497
Suppose 2*p**2/5 - 88*p/5 + 456/5 = 0. Calculate p.
6, 38
Factor -2*g**3/5 - 48*g**2/5 + 104*g/5.
-2*g*(g - 2)*(g + 26)/5
Determine d, given that 4*d**3 - 64*d**2 + 112*d = 0.
0, 2, 14
Factor s**3 + 2*s**2 - 13*s + 10.
(s - 2)*(s - 1)*(s + 5)
Factor -p**2 - 8*p - 12.
-(p + 2)*(p + 6)
Let x**3/11 + 8*x**2/11 + 17*x/11 + 10/11 = 0. Calculate x.
-5, -2, -1
Factor -p**5 - 2*p**4 + 8*p**3 + 18*p**2 + 9*p.
-p*(p - 3)*(p + 1)**2*(p + 3)
Find x such that -x**3/2 + 31*x**2/2 - 140*x + 294 = 0.
3, 14
Factor -d**5 + 119*d**4 - 234*d**3 - 2*d**2 + 235*d - 117.
-(d - 117)*(d - 1)**3*(d + 1)
Factor -b**5 - 107*b**4 + 1392*b**3 - 4284*b**2.
-b**2*(b - 6)**2*(b + 119)
Factor 5*f**2 + 145*f - 2200.
5*(f - 11)*(f + 40)
Suppose 5*j**3 - 65*j - 60 = 0. What is j?
-3, -1, 4
Factor 2*b**2/5 + 6636*b/5 - 6638/5.
2*(b - 1)*(b + 3319)/5
Determine r, given that 6*r**3/11 + 72*r**2 - 798*r/11 = 0.
-133, 0, 1
Find s such that -3*s**2 - 624*s - 32448 = 0.
-104
Factor -3*x**3/8 - 3*x**2/8 + 15*x/4 - 3.
-3*(x - 2)*(x - 1)*(x + 4)/8
Factor c**2 - 59*c - 60.
(c - 60)*(c + 1)
What is g in 13*g**3/3 - 326*g**2/3 + 613*g/3 - 100 = 0?
1, 300/13
Factor 2*s**2 - 72*s - 410.
2*(s - 41)*(s + 5)
Let o**2/4 + 7*o/4 - 15/2 = 0. Calculate o.
-10, 3
Let m**4 + 4*m**3 + 2*m**2 - 4*m - 3 = 0. Calculate m.
-3, -1, 1
Let s**5/3 + 2*s**4/3 - s**3 - 4*s**2/3 + 4*s/3 = 0. What is s?
-2, 0, 1
Factor 8*a**2 - 8596*a - 4300.
4*(a - 1075)*(2*a + 1)
Determine l, given that -2*l**3 + 20*l**2 + 8*l - 80 = 0.
-2, 2, 10
Determine q, given that q**2 - 686*q + 117649 = 0.
343
Let 4*k**3 + 20*k**2 - 328*k - 704 = 0. Calculate k.
-11, -2, 8
Find t such that t**2 - 42*t + 80 = 0.
2, 40
What is g in g**5/3 + g**4 - 10*g**3/3 - 20*g**2/3 + 8*g + 32/3 = 0?
-4, -2, -1, 2
Find g such that -12*g**4 + 3*g**3 + 9*g**2 = 0.
-3/4, 0, 1
Factor -y**2/4 + 17*y/2 - 16.
-(y - 32)*(y - 2)/4
Solve 100*d**5 - 280*d**4 - 1124*d**3 + 8*d**2 + 592*d - 160 = 0 for d.
-2, -1, 2/5, 5
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