15 + 128*a/15 = 0.
-1, 0, 1, 64
Factor -4*l**3 - 2012*l**2.
-4*l**2*(l + 503)
Let 2*c**5/5 + 92*c**4/5 + 1144*c**3/5 + 1936*c**2/5 = 0. What is c?
-22, -2, 0
Let 3*k**2 + 42*k - 96 = 0. Calculate k.
-16, 2
Factor -m**3/5 - m**2/5 + m/5 + 1/5.
-(m - 1)*(m + 1)**2/5
Factor 2*v**2/7 + 220*v/7 + 6050/7.
2*(v + 55)**2/7
Factor -v**2/2 + 5*v + 75/2.
-(v - 15)*(v + 5)/2
Suppose -2*f**2 - 10*f = 0. Calculate f.
-5, 0
Determine m so that -2*m**3/3 - 664*m**2/3 - 54442*m/3 + 111556/3 = 0.
-167, 2
Let -2*x**3/3 - 34*x**2 - 556*x/3 - 240 = 0. What is x?
-45, -4, -2
Determine c, given that c**2/2 - 2*c + 3/2 = 0.
1, 3
What is h in 3*h**3 - 387*h**2 + 9072*h - 59388 = 0?
14, 101
Factor -2*h**5 - 626*h**4 - 49916*h**3 - 146012*h**2 - 144770*h - 48050.
-2*(h + 1)**3*(h + 155)**2
Factor s**2 - 74*s - 75.
(s - 75)*(s + 1)
Suppose r**2 - 818*r - 819 = 0. What is r?
-1, 819
Factor 3*p**2 + 255*p - 792.
3*(p - 3)*(p + 88)
Factor h**2/2 - 55*h/2.
h*(h - 55)/2
Factor -4*t**2/9 - 16*t/3 + 112/9.
-4*(t - 2)*(t + 14)/9
Let -4*v**4/3 + 15*v**3 - 36*v**2 + 20*v/3 + 32 = 0. Calculate v.
-3/4, 2, 8
Determine a so that 5*a**2 - 3120*a + 3115 = 0.
1, 623
Factor -3*k**4/4 - 27*k**3/4 + 819*k**2/4 + 8619*k/4.
-3*k*(k - 17)*(k + 13)**2/4
Suppose x**5/6 + 29*x**4/3 + 271*x**3/6 + 53*x**2 = 0. What is x?
-53, -3, -2, 0
Determine r so that -8*r**2/9 + 10*r/9 + 4/3 = 0.
-3/4, 2
Factor m**4/2 + 33*m**3/2 + 63*m**2/2 + 31*m/2.
m*(m + 1)**2*(m + 31)/2
Factor -m**4/6 + 521*m**3/3 - 347*m**2/2.
-m**2*(m - 1041)*(m - 1)/6
Factor -b**2 - 12*b.
-b*(b + 12)
What is f in -f**4 + 30*f**3 - 296*f**2 + 1056*f - 1152 = 0?
2, 4, 12
What is p in -p**2/2 - 3*p = 0?
-6, 0
Find n such that 20*n**5/9 - 16*n**4/3 - 164*n**3/9 + 112*n**2/9 + 16*n - 64/9 = 0.
-2, -1, 2/5, 1, 4
Find n such that 5*n**2 + 1385*n + 1380 = 0.
-276, -1
Find d such that 3*d**2 - 4662*d + 1811187 = 0.
777
Determine d, given that 5*d**3 + 37755*d**2 + 95029335*d + 79729612065 = 0.
-2517
Find z such that 10*z**3/9 + 146*z**2/9 - 142*z/3 - 34 = 0.
-17, -3/5, 3
Factor 2*f**4/5 + 6*f**3.
2*f**3*(f + 15)/5
Determine y so that -2*y**3 + 2*y**2 + 2*y - 2 = 0.
-1, 1
Factor 4*a**3/5 + 23*a**2/5 - 11*a/5 - 6.
(a + 1)*(a + 6)*(4*a - 5)/5
Factor -2*t**5 + 6*t**4 + 18*t**3 - 54*t**2.
-2*t**2*(t - 3)**2*(t + 3)
Determine j so that -4*j**2 - 664*j/7 + 192/7 = 0.
-24, 2/7
Factor 2*g**3/7 + 122*g**2/7 + 1756*g/7 + 3040/7.
2*(g + 2)*(g + 19)*(g + 40)/7
Factor 4*w**4/9 - 16*w**3/9 - 12*w**2 + 40*w.
4*w*(w - 6)*(w - 3)*(w + 5)/9
Factor -t**5/10 + 3*t**4/5 - 13*t**3/10 + 6*t**2/5 - 2*t/5.
-t*(t - 2)**2*(t - 1)**2/10
Let -45*d**3/4 + 453*d**2/2 - 1155*d + 150 = 0. Calculate d.
2/15, 10
Find p such that -2*p**2/7 - 1696*p/7 - 359552/7 = 0.
-424
Solve -8*z**5 - 116*z**4 + 1072*z**3 - 444*z**2 - 504*z = 0 for z.
-21, -1/2, 0, 1, 6
Factor 2*m**4/9 - 2*m**3/3 - 8*m**2/9 + 8*m/3.
2*m*(m - 3)*(m - 2)*(m + 2)/9
Factor 2*w**3/5 - 226*w**2/5 + 1520*w - 13000.
2*(w - 50)**2*(w - 13)/5
Factor -s**2/4 - 5*s/2 - 25/4.
-(s + 5)**2/4
Determine m, given that -m**5/2 + 5*m**4/2 + m**3 - 5*m**2 - m/2 + 5/2 = 0.
-1, 1, 5
Determine y, given that 15*y**4 - 63775*y**3 + 90397515*y**2 - 42737917365*y + 28451787130 = 0.
2/3, 1417
Factor -3*h**3 + 29*h**2 - 17*h - 9.
-(h - 9)*(h - 1)*(3*h + 1)
Factor -3*v**3 - 3*v**2 + 6*v.
-3*v*(v - 1)*(v + 2)
What is w in -3*w**2/7 - 37032*w/7 - 114280752/7 = 0?
-6172
Suppose 3*d**3 + 15*d**2 + 18*d = 0. Calculate d.
-3, -2, 0
Factor 4*j**2 + 72*j.
4*j*(j + 18)
Let -2*x**5 + 16*x**4 - 36*x**3 + 54*x = 0. What is x?
-1, 0, 3
Factor -4*v**4 - 36*v**3 + 40*v**2.
-4*v**2*(v - 1)*(v + 10)
Factor -2*o**2/9 - 88*o/9.
-2*o*(o + 44)/9
Solve 2*w**3/5 + 2464*w**2/5 = 0 for w.
-1232, 0
What is b in -5*b**4 + 80*b**3 + 5*b**2 - 80*b = 0?
-1, 0, 1, 16
Suppose d**3 + 6*d**2 - 25*d + 18 = 0. What is d?
-9, 1, 2
Suppose -2*y**3/17 - 20*y**2/17 - 2*y - 16/17 = 0. What is y?
-8, -1
Factor -20*i**2/3 + 128*i/3 - 16.
-4*(i - 6)*(5*i - 2)/3
Let -2*q**3 + 84*q**2 - 70*q - 492 = 0. What is q?
-2, 3, 41
Solve 2*u**4/7 - 64*u**3/7 - 2*u**2/7 + 64*u/7 = 0 for u.
-1, 0, 1, 32
Determine l, given that l**3/2 - 3*l**2/2 - 2*l + 6 = 0.
-2, 2, 3
Factor 3*a**2 - 420*a + 14700.
3*(a - 70)**2
Determine x so that -9*x**5 - 12*x**4 - 3*x**3 = 0.
-1, -1/3, 0
Determine g, given that -2*g**2/7 - 4372*g/7 - 2389298/7 = 0.
-1093
Suppose 6*a**5/5 + 102*a**4/5 + 54*a**3 + 258*a**2/5 + 84*a/5 = 0. Calculate a.
-14, -1, 0
Determine m so that -2*m**5/7 + 10*m**3/7 - 8*m/7 = 0.
-2, -1, 0, 1, 2
What is l in 2*l**5/7 - 20*l**4/7 - 16*l**3/7 + 96*l**2 - 288*l + 1728/7 = 0?
-6, 2, 6
Factor -625*z**3 + 6000*z**2 - 19200*z + 20480.
-5*(5*z - 16)**3
Suppose -s**5/2 - 17*s**4 + 37*s**3/2 + 35*s**2 = 0. Calculate s.
-35, -1, 0, 2
Factor -4*m**3 + 8*m**2 + 36*m - 72.
-4*(m - 3)*(m - 2)*(m + 3)
Let 5*u**2 - 55*u + 90 = 0. Calculate u.
2, 9
Factor g**3/2 - 25*g**2 + 97*g/2 - 24.
(g - 48)*(g - 1)**2/2
Determine s so that -5*s**2/4 + 363*s/4 + 73/2 = 0.
-2/5, 73
Let -2*c**2/7 + 1590*c/7 - 3172/7 = 0. What is c?
2, 793
Solve m**2 - 6*m + 5 = 0 for m.
1, 5
Determine b so that 4*b**4/5 - 36*b**3 + 1392*b**2/5 - 704*b + 2304/5 = 0.
1, 4, 36
Factor y**2 - 8*y - 153.
(y - 17)*(y + 9)
Factor 2*d**5/23 - 14*d**4/23 + 12*d**3/23.
2*d**3*(d - 6)*(d - 1)/23
Determine d so that -2*d**3/5 - 12*d**2/5 - 6*d/5 + 4 = 0.
-5, -2, 1
Factor -4*t**3 - 31656*t**2 - 83508528*t - 73431832288.
-4*(t + 2638)**3
Find o such that -4*o**4 + 80*o**3 - 600*o**2 + 2000*o - 2500 = 0.
5
Let -4*p**4 - 4*p**3 + 3*p**2 + 2*p - 1 = 0. Calculate p.
-1, 1/2
Factor n**4/4 - 641*n**3/2 + 409593*n**2/4 + 207045*n - 309123.
(n - 642)**2*(n - 1)*(n + 3)/4
Factor -c**4 + 610*c**3 + 1223*c**2 + 612*c.
-c*(c - 612)*(c + 1)**2
Suppose 14*p**4/9 - 16*p**3 + 82*p**2/9 + 248*p/3 - 24 = 0. Calculate p.
-2, 2/7, 3, 9
Solve -36*m**4 + 240*m**3 - 148*m**2 + 24*m = 0.
0, 1/3, 6
Let -27*r**5/7 + 12132*r**4/7 - 1358760*r**3/7 - 131142*r**2 + 756675*r/7 + 303750/7 = 0. What is r?
-1, -1/3, 2/3, 225
Factor -3*f**4 + 30*f**3 - 51*f**2 + 24*f.
-3*f*(f - 8)*(f - 1)**2
Solve -y**5 - 8*y**4 - 22*y**3 - 24*y**2 - 9*y = 0.
-3, -1, 0
Find o, given that -3*o**5 + 63*o**4 + 9*o**3 - 183*o**2 - 126*o = 0.
-1, 0, 2, 21
Factor 4*d**2 + 68*d - 240.
4*(d - 3)*(d + 20)
Determine b so that 3*b**4 - 3*b**3 - 18*b**2 + 12*b + 24 = 0.
-2, -1, 2
What is s in 58*s**2/5 + 5912*s/5 - 408/5 = 0?
-102, 2/29
Find y such that 4*y**2/7 + 4*y - 72/7 = 0.
-9, 2
Factor -q**2 + 34*q + 111.
-(q - 37)*(q + 3)
Factor -108*j**4 + 48168*j**3 - 7176960*j**2 + 359613400*j - 352484500.
-4*(j - 1)*(3*j - 445)**3
Suppose 2*c**2/11 + 186*c/11 - 980/11 = 0. Calculate c.
-98, 5
Factor -2*n**3 - 14*n**2 - 12*n.
-2*n*(n + 1)*(n + 6)
Factor -686*f**3/9 + 14*f/3 - 4/9.
-2*(7*f - 1)**2*(7*f + 2)/9
Factor -m**3/6 - 389*m**2/6 - 19012*m/3 - 18818/3.
-(m + 1)*(m + 194)**2/6
Determine b so that 5*b**3 + 25*b**2 + 35*b + 15 = 0.
-3, -1
What is w in w**2/4 - 559*w/2 + 312481/4 = 0?
559
Let -l**2/2 - 3*l - 9/2 = 0. Calculate l.
-3
Factor 2*x**4 - 664*x**3 + 73260*x**2 - 2661336*x - 2735262.
2*(x - 111)**3*(x + 1)
Find b, given that 2*b**5/23 + 18*b**4/23 - 382*b**3/23 - 18*b**2/23 + 380*b/23 = 0.
-19, -1, 0, 1, 10
Find m, given that -16*m**5 + 340*m**4 - 84*m**3 = 0.
0, 1/4, 21
Factor -5*l**3/2 - 81*l**2/2 - 8*l.
-l*(l + 16)*(5*l + 1)/2
Find x such that 2*x**2/5 + 254*x/5 = 0.
-127, 0
Factor -2*z**3 - 2300*z**2 + 4606*z - 2304.
-2*(z - 1)**2*(z + 1152)
Factor 250*g**3 - 504*g**2 + 258*g - 4.
2*(g - 1)**2*(125*g - 2)
Solve 55*p**5 - 3913*p**4/3 - 1763*p**3 - 307*p**2/3 + 268*p - 100/3 = 0.
-1, -2/3, 2/11, 1/5, 25
Factor -2*o**3/17 - 2*o**2 - 176*o/17 - 288/17.
-2*(o + 4)**2*(o + 9)/17
Factor 2*w**4/3 + 136*w**3/3 + 1156*w**2 + 39304*w/3 + 167042/3.
2*(w + 17)**4/3
Factor x**2/2 + x/2 - 3.
(x - 2)*(x + 3)/2
Factor -o**2/2 - 23*o/2 - 30.
-(o + 3)*(o + 20)/2
Determine h so that 1445*h**3 + 3145*h**2 + 2200*h + 500 = 0.
-1, -10/17
Determine n so that 2*n**5 + 64*n**4 - 614*n**3 + 1028*n**2 - 480*n = 0.
-40, 0, 1, 6
Factor -x**4 + 2*x**3 - 2*x + 1.
-(x - 1)**3*(x + 1)
Factor g**2 - 145*g - 294.
(g - 147)*(g + 2)
Suppose -15*t**3/2 + 25*t**2 + 1305*t/2 - 220 = 0. What is t?
-8, 1/3, 11
Factor 2*n**3 - 16*n**2 + 14*n.
2*n*(n - 7)*(n - 1)
Determine o, given that 3*o**4 + 90*o**3 - 21*o**2 - 612*o + 540 = 0.
-30, -3, 1, 2
Wh