 1
Factor -2*o**5/3 + 5*o**4/3 - o**3 - o**2/3 + o/3.
-o*(o - 1)**3*(2*o + 1)/3
Solve -2*l**4/9 + 2*l**3/3 - 4*l**2/9 = 0 for l.
0, 1, 2
What is a in -2*a**3/15 - 34*a**2/15 - 22*a/15 + 242/3 = 0?
-11, 5
Factor 5*h**4/2 - 1505*h**3/4 + 14250*h**2 - 28125*h/4.
5*h*(h - 75)**2*(2*h - 1)/4
Determine d so that 4*d**5 - 48*d**4 - 44*d**3 + 600*d**2 - 896*d + 384 = 0.
-4, 1, 2, 12
Suppose -t**4/3 + 4*t**3 - 26*t**2/3 - 4*t + 9 = 0. What is t?
-1, 1, 3, 9
Factor -o**3/3 - 18*o**2 - 243*o.
-o*(o + 27)**2/3
Determine a so that a**2 - 19*a = 0.
0, 19
Determine q so that 5*q**3 - 20*q**2 - 95*q - 70 = 0.
-2, -1, 7
Let -2*t**3/7 - 124*t**2/7 - 1922*t/7 = 0. Calculate t.
-31, 0
Factor -8*u**4 - 716*u**3 - 3696*u**2.
-4*u**2*(u + 84)*(2*u + 11)
What is s in 3*s**3 - 381*s**2 - 3*s + 381 = 0?
-1, 1, 127
Factor 4*p**4 - 4*p**3 - 12*p**2 + 4*p + 8.
4*(p - 2)*(p - 1)*(p + 1)**2
Factor -g**2/5 + 13*g/5 - 6.
-(g - 10)*(g - 3)/5
Solve -2*f**3/5 - 38*f**2/5 + 18*f + 126/5 = 0 for f.
-21, -1, 3
Determine k, given that -3*k**2/4 - 1629*k/4 - 813/2 = 0.
-542, -1
Determine x so that -512*x**3/3 + 1856*x**2 + 234*x + 22/3 = 0.
-1/16, 11
Suppose 5*v**2/2 - 5*v/2 - 75 = 0. Calculate v.
-5, 6
Suppose -2*t**3/5 - 114*t**2/5 = 0. What is t?
-57, 0
Factor -3*l**3 - 126*l**2 - 123*l.
-3*l*(l + 1)*(l + 41)
Factor -2*j**3/9 - 26*j**2/9.
-2*j**2*(j + 13)/9
Find p, given that -5*p**2 + 60*p - 180 = 0.
6
Solve -2*v**2/5 - 2812*v/5 - 988418/5 = 0.
-703
Factor 2*y**2 - 2*y - 12.
2*(y - 3)*(y + 2)
Factor 129*q**3 - 28*q**2 - 5*q.
q*(3*q - 1)*(43*q + 5)
Find m such that 3025*m**4/4 + 220*m**3 - 2961*m**2/4 - 220*m - 16 = 0.
-1, -8/55, 1
Factor -2*c**3/5 + 48*c**2/5 - 288*c/5.
-2*c*(c - 12)**2/5
Factor 5*j**3 - 105*j**2 - 485*j - 375.
5*(j - 25)*(j + 1)*(j + 3)
Let 2*p**5 + 280*p**4 + 9800*p**3 = 0. What is p?
-70, 0
Determine o, given that 2*o**4/9 + 2*o**3/9 - 16*o**2/9 - 8*o/3 = 0.
-2, 0, 3
Factor -2*o**2 + 1118*o - 1116.
-2*(o - 558)*(o - 1)
Factor u**2/3 - 230*u + 39675.
(u - 345)**2/3
Find w, given that -10*w**3 + 495*w**2 - 240*w - 245 = 0.
-1/2, 1, 49
Let -925*c**2/4 - 885*c/2 - 140 = 0. What is c?
-56/37, -2/5
Suppose 2*w**3/23 - 30*w**2/23 = 0. What is w?
0, 15
Find k such that 2*k**5 + 16*k**4 - 16*k**3 - 128*k**2 + 32*k + 256 = 0.
-8, -2, 2
Factor m**4/3 + 4*m**3 + 22*m**2/3 - 28*m + 49/3.
(m - 1)**2*(m + 7)**2/3
Suppose -2*g**3 + 36*g**2 + 798*g + 3136 = 0. Calculate g.
-7, 32
Factor -i**4 + 10*i**3 + 11*i**2.
-i**2*(i - 11)*(i + 1)
Factor -l**2/5 - 17*l/5 - 6.
-(l + 2)*(l + 15)/5
Determine u, given that 9*u**5/2 - 1068*u**4 + 126001*u**3/2 + 44867*u**2 - 142562*u + 56644 = 0.
-2, 2/3, 119
Factor 4*j**4 - 60*j**3 + 248*j**2 - 288*j.
4*j*(j - 9)*(j - 4)*(j - 2)
Factor 2*z**2/3 - 14*z/3 + 20/3.
2*(z - 5)*(z - 2)/3
Factor 2*k**2/3 + 194*k/3 - 196/3.
2*(k - 1)*(k + 98)/3
Factor 4*i**2 + 4*i - 8.
4*(i - 1)*(i + 2)
Factor k**3/4 + 3*k**2 - 27*k/4 + 7/2.
(k - 1)**2*(k + 14)/4
Solve c**3 + 23*c**2 - 596*c + 1092 = 0 for c.
-39, 2, 14
Factor 4*p**2 + 146*p + 72.
2*(p + 36)*(2*p + 1)
Factor d**3/2 - 207*d**2.
d**2*(d - 414)/2
Solve -4*d**2 + 2108*d + 2112 = 0 for d.
-1, 528
Factor -2*i**3/7 - 16*i**2/7 + 46*i/7 + 60/7.
-2*(i - 3)*(i + 1)*(i + 10)/7
Factor 4*i**3 + 192*i**2 + 2100*i - 5000.
4*(i - 2)*(i + 25)**2
Solve r**3 + 333*r**2 = 0 for r.
-333, 0
Factor -2*s**4 - 54*s**3 - 84*s**2 + 400*s.
-2*s*(s - 2)*(s + 4)*(s + 25)
Factor -3*g**3/4 + 21*g**2/4 + 30*g + 33.
-3*(g - 11)*(g + 2)**2/4
Solve x**3/4 - 31*x**2/2 - 193*x/4 - 65/2 = 0.
-2, -1, 65
Factor -75*s**4 - 330*s**3 - 123*s**2 - 12*s.
-3*s*(s + 4)*(5*s + 1)**2
Solve b**5/5 + 2*b**4 + 23*b**3/5 - 2*b**2 - 24*b/5 = 0 for b.
-6, -4, -1, 0, 1
Solve 5*y**3 - 1500*y + 10000 = 0.
-20, 10
Factor 4*l**2 + 72*l - 76.
4*(l - 1)*(l + 19)
What is f in 42*f**5 - 51*f**4 - 144*f**3 + 237*f**2 - 48*f - 36 = 0?
-2, -2/7, 1, 3/2
Determine q so that -2*q**3 - 804*q**2 + 1614*q - 808 = 0.
-404, 1
Determine i, given that -4*i**2 + 20*i - 16 = 0.
1, 4
Find a such that -2*a**2/5 + 4*a/5 - 2/5 = 0.
1
Determine p, given that 3*p**5 + 39*p**4 - 123*p**3 - 2139*p**2 + 120*p + 2100 = 0.
-10, -1, 1, 7
Factor -q**2/5 + 6*q/5 + 27/5.
-(q - 9)*(q + 3)/5
What is d in 2*d**5/3 + 112*d**4/3 + 484*d**3 - 3248*d**2/3 + 1682*d/3 = 0?
-29, 0, 1
What is v in -3*v**4/7 - 354*v**3/7 - 1692*v**2/7 + 354*v/7 + 1695/7 = 0?
-113, -5, -1, 1
Solve v**2 - 4142*v + 4289041 = 0 for v.
2071
Determine w so that w**2/4 - 27*w/2 + 53/4 = 0.
1, 53
Factor 2*u**4 + 20*u**3 - 38*u**2 - 152*u + 264.
2*(u - 2)**2*(u + 3)*(u + 11)
What is x in x**2/2 + 39*x/2 + 19 = 0?
-38, -1
Factor w**2/7 - 19*w/7.
w*(w - 19)/7
Factor -d**4/2 - 269*d**3 - 71277*d**2/2 + 145798*d - 146882.
-(d - 2)**2*(d + 271)**2/2
Find o, given that o**3/5 - 49*o**2/5 - 102*o/5 = 0.
-2, 0, 51
Solve -2*o**3 - 8*o**2 - 10*o - 4 = 0 for o.
-2, -1
Factor 7*b**3/3 - 10*b**2 + 12*b - 8/3.
(b - 2)**2*(7*b - 2)/3
Suppose j**2/3 - 77*j/3 - 158/3 = 0. Calculate j.
-2, 79
Find c, given that 2*c**2 + 80*c = 0.
-40, 0
Factor -2*h**2/3 - 2*h - 4/3.
-2*(h + 1)*(h + 2)/3
Find a, given that -2*a**3/9 - 118*a**2/9 - 1798*a/9 - 1682/9 = 0.
-29, -1
Suppose -r**3/4 + 17*r**2/2 + r - 34 = 0. Calculate r.
-2, 2, 34
Let -k**5 + 21*k**4 + 72*k**3 + 4*k**2 - 96*k = 0. What is k?
-2, 0, 1, 24
Let -24*v**4 + 1732*v**3 - 31388*v**2 + 4896*v + 5184 = 0. Calculate v.
-1/3, 1/2, 36
Solve 5*y**2/3 - 18970*y/3 + 17993045/3 = 0.
1897
Determine n, given that 3*n**5/5 + 12*n**4/5 - 138*n**3/5 - 12*n**2/5 + 27*n = 0.
-9, -1, 0, 1, 5
Solve -v**4/2 - 41*v**3 - 1681*v**2/2 = 0 for v.
-41, 0
Determine f so that -2*f**3 - 222*f**2 - 1648*f = 0.
-103, -8, 0
Suppose -5*v**5 - 85*v**4 + 2480*v**3 + 2560*v**2 = 0. What is v?
-32, -1, 0, 16
Factor -2*a**3 - 50*a**2 + 52*a.
-2*a*(a - 1)*(a + 26)
Let 219*h**2 + 666*h + 27 = 0. Calculate h.
-3, -3/73
Suppose 13500*v**4 + 43200*v**3 + 8280*v**2 + 544*v + 12 = 0. Calculate v.
-3, -1/15
Find y, given that 2*y**2 + 38*y + 36 = 0.
-18, -1
Determine v so that -v**2 - 1394*v - 485809 = 0.
-697
Find l, given that -4*l**4 - 252*l**3 + 516*l**2 - 260*l = 0.
-65, 0, 1
Suppose -5*b**2 + 275*b - 270 = 0. What is b?
1, 54
What is y in -2*y**5 - 8*y**4 - 6*y**3 + 8*y**2 + 8*y = 0?
-2, -1, 0, 1
Find u such that 5*u**5/4 - 4*u**4 - 2*u**3 + 17*u**2/2 + 3*u/4 - 9/2 = 0.
-1, 1, 6/5, 3
Determine j, given that 2*j**4/7 - 32*j**3/7 + 54*j**2/7 + 32*j/7 - 8 = 0.
-1, 1, 2, 14
Suppose 2*i**5 - 158*i**4 + 4052*i**3 - 30780*i**2 - 74358*i - 39366 = 0. What is i?
-1, 27
Factor 2*b**2/11 + 26*b/11 - 280/11.
2*(b - 7)*(b + 20)/11
Suppose -2*s**2 + 112*s + 354 = 0. What is s?
-3, 59
Find o such that -o**5 - 20*o**4 - 99*o**3 + 20*o**2 + 100*o = 0.
-10, -1, 0, 1
Factor 3*q**4 - 39*q**3 - 102*q**2 + 156*q + 360.
3*(q - 15)*(q - 2)*(q + 2)**2
Factor 5*j**4 + 215*j**3 - 225*j**2 - 215*j + 220.
5*(j - 1)**2*(j + 1)*(j + 44)
Suppose -2*t**2 - 40*t = 0. What is t?
-20, 0
Factor -t**5/3 - 46*t**4/3 + 196*t**3/3 - 200*t**2/3.
-t**2*(t - 2)**2*(t + 50)/3
Let 2*c**2/9 + 68*c/3 + 578 = 0. What is c?
-51
Factor 3*i**5/5 - 9*i**4/5 + 12*i**2/5.
3*i**2*(i - 2)**2*(i + 1)/5
Suppose -5*j**3 - 250*j**2 - 3360*j - 5760 = 0. Calculate j.
-24, -2
Suppose -3*r**4 + 3*r**3 + 81*r**2 + 81*r - 162 = 0. What is r?
-3, 1, 6
Factor -2*y**3/9 + 8*y**2/3.
-2*y**2*(y - 12)/9
Solve -2*o**3 - 2*o**2 + 2*o + 2 = 0 for o.
-1, 1
Factor -5*b**4 - 5*b**3 + 105*b**2 + 225*b.
-5*b*(b - 5)*(b + 3)**2
Let 4*a**5/9 + 8*a**4/3 - 8*a**3 - 448*a**2/9 + 140*a/3 + 200 = 0. Calculate a.
-5, -2, 3
Factor 3*n**3 + 45*n**2 + 96*n - 396.
3*(n - 2)*(n + 6)*(n + 11)
Factor s**3 + 80*s**2 + 591*s + 1080.
(s + 3)*(s + 5)*(s + 72)
Suppose 9*p**5/7 - 3*p**4 - 234*p**3/7 - 396*p**2/7 - 24*p = 0. What is p?
-2, -2/3, 0, 7
Factor c**5/2 - 21*c**4/2 + 73*c**3 - 161*c**2 - 147*c/2 + 343/2.
(c - 7)**3*(c - 1)*(c + 1)/2
Solve -a**2 - 834*a - 833 = 0.
-833, -1
Factor -3*w**3/7 + 54*w**2/7 - 141*w/7 + 90/7.
-3*(w - 15)*(w - 2)*(w - 1)/7
Factor l**2 + 24*l + 144.
(l + 12)**2
Suppose q**2/7 - 64/7 = 0. What is q?
-8, 8
Factor r**2/2 + 413*r/2 - 415.
(r - 2)*(r + 415)/2
Factor -5*t**2/4 + 85*t/2.
-5*t*(t - 34)/4
Factor -u**4/3 - 7*u**3/3 + 28*u**2/3 - 20*u/3.
-u*(u - 2)*(u - 1)*(u + 10)/3
Factor 4*q**3/7 - 76*q**2/7 + 396*q/7 - 324/7.
4*(q - 9)**2*(q - 1)/7
Factor -l**2 + 34*l + 195.
-(l - 39)*(l + 5)
Factor 28*c