 13)*(u + 42)**2
Suppose -a**4/2 + 3*a**3 + 48*a**2 + 112*a = 0. What is a?
-4, 0, 14
Let -q**5 - 11*q**4 - 17*q**3 + 11*q**2 + 18*q = 0. What is q?
-9, -2, -1, 0, 1
Suppose 12*o**3 - 606*o**2 - 1221*o/4 - 153/4 = 0. What is o?
-1/4, 51
Factor -8*j**2 - 1530*j - 382.
-2*(j + 191)*(4*j + 1)
Factor -2*r**2 + 6184*r - 4780232.
-2*(r - 1546)**2
Factor -363*p**3 - 35673*p**2 + 26088*p - 4752.
-3*(p + 99)*(11*p - 4)**2
Determine k so that -3*k**5 + 51*k**4 - 45*k**3 - 51*k**2 + 48*k = 0.
-1, 0, 1, 16
Determine g so that -2*g**5/3 - 14*g**4/15 + 116*g**3/15 + 8*g**2/15 - 176*g/15 - 64/15 = 0.
-4, -1, -2/5, 2
Factor -2*a**2 - 16*a + 306.
-2*(a - 9)*(a + 17)
Find y such that y**4 + 16*y**3 - 66*y**2 - 176*y - 95 = 0.
-19, -1, 5
Factor -5*m**4 - 30*m**3 - 60*m**2 - 50*m - 15.
-5*(m + 1)**3*(m + 3)
Let 45*o**5 - 280*o**4 - 2055*o**3 - 3310*o**2 - 1140*o + 440 = 0. What is o?
-2, -1, 2/9, 11
What is d in -3*d**4/4 + 15*d**3/4 + 63*d**2/2 + 57*d + 30 = 0?
-2, -1, 10
Factor y**4/4 - 89*y**3/4 - 273*y**2/4 - 275*y/4 - 23.
(y - 92)*(y + 1)**3/4
Find j such that -226*j**5/9 - 1352*j**4/9 - 1106*j**3/9 + 20*j**2/9 = 0.
-5, -1, 0, 2/113
Factor 2*a**2 + 2*a.
2*a*(a + 1)
Factor -4*i**3 - 56*i**2 - 256*i - 384.
-4*(i + 4)**2*(i + 6)
Factor w**2/2 - 25*w/2.
w*(w - 25)/2
Find i such that -i**5/5 + 4*i**4 - 14*i**3 + 20*i**2 - 13*i + 16/5 = 0.
1, 16
Factor 3*p**2 + 5802*p + 2805267.
3*(p + 967)**2
Factor -3*y**3 - 42*y**2 + 153*y.
-3*y*(y - 3)*(y + 17)
Factor 4*b**2 + 72*b - 460.
4*(b - 5)*(b + 23)
Determine d, given that -2*d**3/5 - 3166*d**2/5 + 3168*d/5 = 0.
-1584, 0, 1
Factor 5*z**3 + 1255*z**2.
5*z**2*(z + 251)
Let -2*w**3 + w**2 + 13*w + 6 = 0. Calculate w.
-2, -1/2, 3
Suppose 2*r**4/7 + 26*r**3/7 + 6*r**2 - 26*r/7 - 44/7 = 0. Calculate r.
-11, -2, -1, 1
Factor -2*l**3/11 + 58*l**2/11 - 320*l/11 - 1536/11.
-2*(l - 16)**2*(l + 3)/11
Find t such that -36*t**5 - 1911*t**4 - 2032*t**3 - 204*t**2 + 208*t = 0.
-52, -2/3, 0, 1/4
Factor 2*f**3/5 - 2*f**2 + 16*f/5 - 8/5.
2*(f - 2)**2*(f - 1)/5
Factor h**5/3 + h**4 - h**3/3 - 11*h**2/3 - 4*h - 4/3.
(h - 2)*(h + 1)**3*(h + 2)/3
Determine y so that y**4/9 + 14*y**3/3 + 4*y**2 - 202*y/9 + 41/3 = 0.
-41, -3, 1
Solve -u**5/8 + 17*u**4/8 - 43*u**3/8 - 133*u**2/8 + 47*u/2 + 65/2 = 0 for u.
-2, -1, 2, 5, 13
Suppose -2*k**5/17 - 100*k**4/17 - 1146*k**3/17 + 2600*k**2/17 - 1352*k/17 = 0. What is k?
-26, 0, 1
Solve -68*a**4 - 8*a**3 + 476*a**2 - 352*a - 48 = 0 for a.
-3, -2/17, 1, 2
Factor 24*j**3/19 + 286*j**2/19 + 840*j/19 - 72/19.
2*(j + 6)**2*(12*j - 1)/19
Let 85*c**3 - 160*c**2 - 20*c = 0. Calculate c.
-2/17, 0, 2
Factor 6*m**3/7 + 132*m**2/7 + 54*m/7 - 216.
6*(m - 3)*(m + 4)*(m + 21)/7
Factor -2*n**3/7 - 2*n**2/7 + 34*n/7 - 30/7.
-2*(n - 3)*(n - 1)*(n + 5)/7
Suppose 4*d**4/7 + 16*d**3 - 4*d**2/7 - 16*d = 0. Calculate d.
-28, -1, 0, 1
Factor b**3/7 - 346*b**2/7 - 695*b/7 - 348/7.
(b - 348)*(b + 1)**2/7
Factor 3*k**2/2 - 1269*k + 536787/2.
3*(k - 423)**2/2
Determine r so that r**2/9 - 32*r/9 + 31/9 = 0.
1, 31
Factor -2*q**3/9 - 1274*q**2/9 + 5120*q/9 - 5128/9.
-2*(q - 2)**2*(q + 641)/9
Factor h**3/5 + h**2 + 4*h/5.
h*(h + 1)*(h + 4)/5
Factor 21*t**4 - 1401*t**3 - 402*t**2.
3*t**2*(t - 67)*(7*t + 2)
Solve 3*f**3 - 18*f**2 - 12*f + 72 = 0 for f.
-2, 2, 6
Factor -u**2/4 - 2*u - 7/4.
-(u + 1)*(u + 7)/4
Suppose 15*l**3 - 21*l**2 - 84*l + 36 = 0. What is l?
-2, 2/5, 3
Factor -8*o**2/3 + 2*o + 2/3.
-2*(o - 1)*(4*o + 1)/3
Solve 5*f**4/9 + 34*f**3/3 + 460*f**2/9 + 56*f/3 = 0 for f.
-14, -6, -2/5, 0
Suppose 4*l**3 + 32*l**2 = 0. What is l?
-8, 0
Suppose -3*c**4 + 21*c**3 + 123*c**2 + 99*c = 0. Calculate c.
-3, -1, 0, 11
Solve 2*m**3/7 + 52*m**2/7 = 0.
-26, 0
Factor 2*d**4 - 14*d**3 - 4*d**2 + 120*d - 144.
2*(d - 6)*(d - 2)**2*(d + 3)
Let 2*v**2 - 15*v/2 + 9/2 = 0. Calculate v.
3/4, 3
Factor 4*m**2 + 212*m + 1584.
4*(m + 9)*(m + 44)
Factor -5*x**4 - 15*x**3 - 10*x**2.
-5*x**2*(x + 1)*(x + 2)
Let 4*x**4 - 70*x**3/9 + 32*x**2/9 + 2*x/9 = 0. Calculate x.
-1/18, 0, 1
Factor 147*c**3 - 4095*c**2 + 3429*c - 729.
3*(c - 27)*(7*c - 3)**2
Factor -2*u**3/7 + 16*u**2 - 318*u/7.
-2*u*(u - 53)*(u - 3)/7
What is p in -3*p**2 + 1389*p - 1386 = 0?
1, 462
Factor -108*z**2 + 112*z - 4.
-4*(z - 1)*(27*z - 1)
What is c in c**2 - 33*c = 0?
0, 33
Factor -4*r**3/5 - 236*r**2/5 - 3808*r/5 - 9408/5.
-4*(r + 3)*(r + 28)**2/5
Factor 3*b**5 + 147*b**4.
3*b**4*(b + 49)
Let 5*t**4 - 85*t**3 + 410*t**2 - 600*t = 0. What is t?
0, 3, 4, 10
Factor -a**4/3 - 50*a**3/3 - 188*a**2/3 - 184*a/3.
-a*(a + 2)**2*(a + 46)/3
Factor -3*t**2 - 60*t - 153.
-3*(t + 3)*(t + 17)
Factor 3*c**2 - 732*c + 44652.
3*(c - 122)**2
Find p, given that -3*p**3/2 + 549*p**2/2 - 1089*p/2 + 543/2 = 0.
1, 181
Solve l**2/9 - 17*l/3 + 410/9 = 0.
10, 41
Factor 3876961*k**2 - 11814*k + 9.
(1969*k - 3)**2
Suppose -2*w**3/9 - 734*w**2/9 - 72512*w/9 - 309760/3 = 0. Calculate w.
-176, -15
Determine p so that -3*p**5 - 12*p**4 + 129*p**3 + 282*p**2 - 1476*p + 1080 = 0.
-6, 1, 2, 5
Determine m so that -m**5/2 - 15*m**4/2 - 31*m**3 - 17*m**2 + 63*m/2 + 49/2 = 0.
-7, -1, 1
Let 2*u**4 - 182*u**3/3 + 56*u**2/3 + 40*u = 0. Calculate u.
-2/3, 0, 1, 30
What is r in -5*r**2/4 - 5*r + 1425/4 = 0?
-19, 15
Factor 3*m**3/8 + 183*m**2/8 + 66*m + 87/2.
3*(m + 1)*(m + 2)*(m + 58)/8
Solve -2*v**2 + 146*v + 1660 = 0.
-10, 83
Suppose -28*w**2/15 + 22*w + 24/5 = 0. What is w?
-3/14, 12
Let -h**5/2 + 2*h**4 + 177*h**3/2 - 90*h**2 = 0. What is h?
-12, 0, 1, 15
Let -242*k**3/7 - 16236*k**2/7 - 17496*k/7 - 4752/7 = 0. Calculate k.
-66, -6/11
Let 2*j**2 - 8*j + 8 = 0. Calculate j.
2
Factor 3*f**3/4 + 723*f**2/4 - 363*f/2.
3*f*(f - 1)*(f + 242)/4
Factor 2*t**3 + 444*t**2 - 894*t + 448.
2*(t - 1)**2*(t + 224)
Let -4*l**3 - 64*l**2 - 320*l - 512 = 0. Calculate l.
-8, -4
Determine f so that 2*f**3 + 7114*f**2 + 6329680*f + 6322568 = 0.
-1778, -1
Factor -4*s**2 - 300*s - 1136.
-4*(s + 4)*(s + 71)
Determine c, given that -3*c**5 - 21*c**4 - 39*c**3 + 9*c**2 + 54*c = 0.
-3, -2, 0, 1
Factor -2*j**5 + 2*j**4 + 6*j**3 - 10*j**2 + 4*j.
-2*j*(j - 1)**3*(j + 2)
Factor -5*i**3 - 310*i**2 + 1300*i - 1320.
-5*(i - 2)**2*(i + 66)
Factor 2*t**3/9 - 142*t**2/9 - 752*t/9 - 608/9.
2*(t - 76)*(t + 1)*(t + 4)/9
Suppose -2*a**3 + 4*a**2/5 + 2*a - 4/5 = 0. Calculate a.
-1, 2/5, 1
Suppose -77*z**5/2 + 509*z**4/2 - 981*z**3/2 + 459*z**2/2 - 27*z = 0. Calculate z.
0, 2/11, 3/7, 3
Solve h**4/3 + 22*h**3/3 + 31*h**2 + 140*h/3 + 68/3 = 0.
-17, -2, -1
Factor g**2/3 + 11*g/3 + 10/3.
(g + 1)*(g + 10)/3
Determine z, given that -2*z**3/25 - 16*z**2/25 - 2*z/5 + 4 = 0.
-5, 2
Solve 24*k**4 - 238*k**3 + 872*k**2 - 1398*k + 828 = 0.
23/12, 2, 3
Factor 16*t**3/3 - 424*t**2/3 + 1003*t - 867.
(t - 1)*(4*t - 51)**2/3
Factor b**5/6 + b**4/3 - b**3/6 - b**2/3.
b**2*(b - 1)*(b + 1)*(b + 2)/6
Factor -y**5/7 - 6*y**4/7 + 40*y**3/7 + 416*y**2/7 + 1152*y/7 + 1024/7.
-(y - 8)*(y + 2)*(y + 4)**3/7
Find d, given that 3*d**5/7 - 69*d**4/7 - 75*d**3/7 + 69*d**2/7 + 72*d/7 = 0.
-1, 0, 1, 24
Factor -2*i**3/7 + 76*i**2/7 - 722*i/7.
-2*i*(i - 19)**2/7
Suppose -6*g**3 - 188*g**2 - 1408*g + 1024 = 0. Calculate g.
-16, 2/3
Factor 2*b**4/5 - 176*b**3/5 + 3872*b**2/5.
2*b**2*(b - 44)**2/5
Determine k so that 3*k**5/5 - 3*k**4/5 - 6*k**3/5 = 0.
-1, 0, 2
Factor -5*a**4 + 320*a**3 - 930*a**2 + 920*a - 305.
-5*(a - 61)*(a - 1)**3
Suppose 2*v**3/7 - 22*v**2/7 + 8*v/7 + 120/7 = 0. Calculate v.
-2, 3, 10
Solve -10*z**5 + 506*z**4 - 3026*z**3 + 5398*z**2 - 1284*z - 1584 = 0 for z.
-2/5, 1, 3, 44
Suppose -2*w**3/19 + 2*w**2/19 + 20*w/19 + 16/19 = 0. What is w?
-2, -1, 4
Find g such that 254898*g**2/5 + 1428*g/5 + 2/5 = 0.
-1/357
Factor -q**4 + 6*q**3 - 9*q**2 + 4*q.
-q*(q - 4)*(q - 1)**2
Suppose 36*w**4 + 1340*w**3 + 2816*w**2 + 560*w = 0. Calculate w.
-35, -2, -2/9, 0
Factor c**4 + 17*c**3/3 + 10*c**2 + 4*c - 8/3.
(c + 2)**3*(3*c - 1)/3
Factor -4*t**4 - 2304*t**3 - 2300*t**2.
-4*t**2*(t + 1)*(t + 575)
Determine p, given that -2*p**2/13 + 2440*p/13 - 744200/13 = 0.
610
Factor -3*a**3 + 12*a**2 - 9*a.
-3*a*(a - 3)*(a - 1)
What is d in 2*d**4/17 + 24*d**3/17 - 84*d**2/17 + 88*d/17 - 30/17 = 0?
-15, 1
Factor l**2/3 - 3*l - 22/3.
(l - 11)*(l + 2)/3
Let -2*r**4/7 + 176*r**3/7 - 346*r**2/7 + 172*r/7 = 0. What is r?
0, 1, 86
Let -20*v**5 + 15*v**4 + 5*v**3 = 0. Calculate v.
-1/4, 0, 1
Factor 3*d**3 + 447*d**2 