101*r/5 + 5.
(r + 25)*(2*r + 1)**2/5
Factor -2*q**3/9 - 52*q**2/9 - 142*q/9 - 92/9.
-2*(q + 1)*(q + 2)*(q + 23)/9
Factor -5*l**3 + 125*l**2 + 265*l + 135.
-5*(l - 27)*(l + 1)**2
Let -3*q**3 - 145*q**2 - 184*q + 188 = 0. What is q?
-47, -2, 2/3
Factor -3*v**4 - 30*v**3 - 75*v**2.
-3*v**2*(v + 5)**2
Find p, given that -p**5 - 24*p**4 - 141*p**3 + 70*p**2 + 384*p - 288 = 0.
-12, -2, 1
Let -2*k**5/7 + 18*k**4/7 + 22*k**3/7 - 18*k**2/7 - 20*k/7 = 0. What is k?
-1, 0, 1, 10
Determine o, given that 2*o**4/5 + 8*o**3/5 - 26*o**2/5 - 8*o/5 + 24/5 = 0.
-6, -1, 1, 2
Find l, given that 3*l**3/7 + 6*l**2/7 - 9*l/7 = 0.
-3, 0, 1
Suppose 2*g**4 + 44*g**3 - 94*g**2 + 48*g = 0. Calculate g.
-24, 0, 1
Factor 2*s**4/13 + 30*s**3/13 + 96*s**2/13 - 128*s/13.
2*s*(s - 1)*(s + 8)**2/13
Factor 3*j**4 - 87*j**3 - 396*j**2.
3*j**2*(j - 33)*(j + 4)
Determine i, given that 3*i**4 - 27*i**3 + 42*i**2 = 0.
0, 2, 7
Find d such that 2*d**5 + 88*d**4 + 876*d**3 - 2024*d**2 + 1058*d = 0.
-23, 0, 1
Factor -r**3/5 + 1101*r**2/5 - 302499*r/5 - 303601/5.
-(r - 551)**2*(r + 1)/5
Determine j, given that 3*j**3 - 12*j**2 - 240*j - 576 = 0.
-4, 12
Find d such that d**3 + 6*d**2 + 11*d + 6 = 0.
-3, -2, -1
Factor 2*q**3/9 + 74*q**2/9 + 68*q/3.
2*q*(q + 3)*(q + 34)/9
What is s in -2*s**3/9 - 32*s**2/9 - 26*s/9 + 20/3 = 0?
-15, -2, 1
Determine c, given that -c**2/3 + 194*c/3 + 392/3 = 0.
-2, 196
Let -10*h**4 - 48*h**3 - 60*h**2 - 16*h + 6 = 0. What is h?
-3, -1, 1/5
Suppose -1445*k**2 - 17170*k - 51005 = 0. What is k?
-101/17
Solve -5*c**4 - 15*c**3 + 15*c**2 + 35*c - 30 = 0.
-3, -2, 1
Factor 5*h**2 - 415*h - 420.
5*(h - 84)*(h + 1)
Factor 5*w**2 + 80*w - 85.
5*(w - 1)*(w + 17)
Suppose -3*t**4 - 36*t**3 + 84*t**2 = 0. Calculate t.
-14, 0, 2
Find j, given that -j**5/4 - 183*j**4/4 - 4139*j**3/2 + 2208*j**2 + 4232*j = 0.
-92, -1, 0, 2
Solve 3*w**3 + 66*w**2 - 69*w = 0 for w.
-23, 0, 1
Factor -2*y**4 + 2*y**3 + 6*y**2 - 2*y - 4.
-2*(y - 2)*(y - 1)*(y + 1)**2
Solve 5*p**3 + 355*p**2 + 6475*p + 6125 = 0.
-35, -1
Factor -5*a**5 - 495*a**4 - 11490*a**3 + 37490*a**2 - 38505*a + 13005.
-5*(a - 1)**3*(a + 51)**2
Factor k**2/3 - 16*k/3 - 17/3.
(k - 17)*(k + 1)/3
Solve -z**3/2 + 13*z**2/2 + z/2 - 13/2 = 0 for z.
-1, 1, 13
Find x, given that 4*x**2/7 - 200*x + 17500 = 0.
175
Solve 2*q**2 - 118*q + 228 = 0.
2, 57
Factor -o**4 - 82*o**3 - 540*o**2 - 1134*o - 675.
-(o + 1)*(o + 3)**2*(o + 75)
Factor 2*p**3/17 - 32*p**2/17 - 22*p/17 + 1452/17.
2*(p - 11)**2*(p + 6)/17
Solve t**4/7 + 29*t**3/7 + 270*t**2/7 + 100*t - 1000/7 = 0 for t.
-10, 1
Factor -b**4 + 3*b**3 + b**2 - 3*b.
-b*(b - 3)*(b - 1)*(b + 1)
Solve 12*f**4 + 141*f**3 + 312*f**2 + 129*f - 54 = 0.
-9, -2, -1, 1/4
What is b in 24*b**2 + 26*b = 0?
-13/12, 0
Solve -4*y**2 + 13432*y - 11276164 = 0 for y.
1679
Let 2*g**5 - 78*g**4 + 870*g**3 - 2162*g**2 + 2016*g - 648 = 0. What is g?
1, 18
Factor 2*u**3/3 - 484*u**2/3 + 962*u/3 - 160.
2*(u - 240)*(u - 1)**2/3
Find v, given that -v**3/7 - 10*v**2/7 - 24*v/7 = 0.
-6, -4, 0
Suppose -2*y**3/7 + 44*y**2/7 - 40*y + 400/7 = 0. What is y?
2, 10
Determine w so that -36*w**4/7 + 188*w**3/7 - 328*w**2/7 + 208*w/7 - 32/7 = 0.
2/9, 1, 2
Factor -n**2 + 22*n + 104.
-(n - 26)*(n + 4)
Factor -5*q**4 - 380*q**3 - 365*q**2 + 750*q.
-5*q*(q - 1)*(q + 2)*(q + 75)
Factor 2*f**2 + 2732*f.
2*f*(f + 1366)
Find t, given that -4*t**2 + 212*t + 1160 = 0.
-5, 58
Factor -36*b**3 + 22116*b**2 + 14756*b + 2460.
-4*(b - 615)*(3*b + 1)**2
Factor -5*y**3 - 355*y**2 + 1485*y - 1125.
-5*(y - 3)*(y - 1)*(y + 75)
Factor 3*y**2 + 12*y.
3*y*(y + 4)
Factor -2*p**4 + 714*p**3 + 2154*p**2 + 2158*p + 720.
-2*(p - 360)*(p + 1)**3
Let 3*n**4 - 30*n**3 + 72*n**2 - 66*n + 21 = 0. What is n?
1, 7
Factor 2*j**2/15 - 262*j/3 + 2596/5.
2*(j - 649)*(j - 6)/15
Determine s, given that 3*s**2/5 - 27/5 = 0.
-3, 3
Determine w so that -504*w**5 + 4764*w**4 + 5529*w**3/2 - 45*w**2/2 - 222*w - 30 = 0.
-1/3, -1/4, 2/7, 10
Find h such that 2*h**2 + 1076*h + 144722 = 0.
-269
Solve -2*v**4/3 - 214*v**3/3 - 70*v**2 + 214*v/3 + 212/3 = 0 for v.
-106, -1, 1
Factor 3*p**3 - 111*p**2 + 213*p - 105.
3*(p - 35)*(p - 1)**2
What is d in -21*d**5/2 + 22*d**4 - 25*d**3/2 + d**2 = 0?
0, 2/21, 1
Factor -2*c**3 - 10*c**2 + 2*c + 10.
-2*(c - 1)*(c + 1)*(c + 5)
Suppose -4*p**5 - 24*p**4 - 28*p**3 + 24*p**2 + 32*p = 0. What is p?
-4, -2, -1, 0, 1
Determine i so that -i**4 + 28*i**3 + 428*i**2 - 8736*i - 97344 = 0.
-12, 26
Factor 2*t**2 - 24*t - 440.
2*(t - 22)*(t + 10)
Suppose 10*w**2 - 3*w/7 - 10/7 = 0. What is w?
-5/14, 2/5
Let 2*c**5 + 16*c**4 - 122*c**3 - 304*c**2 + 120*c + 288 = 0. Calculate c.
-12, -2, -1, 1, 6
Factor -o**3 - 78*o**2 - 2028*o - 17576.
-(o + 26)**3
Find x, given that -5854*x**2 + 11710*x - 4 = 0.
1/2927, 2
Suppose -4*a**2 - 416*a + 420 = 0. Calculate a.
-105, 1
Find f, given that -4*f**3/7 - 6*f**2 - 8*f - 18/7 = 0.
-9, -1, -1/2
Factor 12*w**3 - 4624*w**2 + 1532*w + 3080.
4*(w - 385)*(w - 1)*(3*w + 2)
Let -48*d**5/7 - 172*d**4/7 - 14*d**3 + 132*d**2/7 + 40*d/7 - 16/7 = 0. What is d?
-2, -1/2, 1/4, 2/3
Determine v, given that -v**3/2 - 19*v**2/4 - 10*v + 25/4 = 0.
-5, 1/2
Factor -625*f**5/6 - 575*f**4/6 + 49*f**3/6 - f**2/6.
-f**2*(f + 1)*(25*f - 1)**2/6
Factor x**5/5 - 11*x**3/5 + 18*x**2/5 - 8*x/5.
x*(x - 2)*(x - 1)**2*(x + 4)/5
Find c such that -2*c**3 + 246*c**2 - 10086*c + 137842 = 0.
41
Determine f so that 2*f**4 + 162*f**3 + 3198*f**2 - 3362*f = 0.
-41, 0, 1
Suppose 2*m**3/7 + 8*m**2/7 + 10*m/7 + 4/7 = 0. Calculate m.
-2, -1
Find t such that t**4/2 + 5*t**3 + 9*t**2/2 = 0.
-9, -1, 0
Factor 2*h**3 + 142*h**2 + 536*h.
2*h*(h + 4)*(h + 67)
Find k, given that -k**2 - 86*k - 1849 = 0.
-43
Factor z**2/3 - 44*z/3 - 15.
(z - 45)*(z + 1)/3
Determine k, given that 7*k**4/2 - 27*k**3 - 23*k**2/2 + 27*k + 8 = 0.
-1, -2/7, 1, 8
Factor -3*v**3 - 6084*v**2 - 3090663*v - 6157014.
-3*(v + 2)*(v + 1013)**2
Factor -3*c**4 - 173*c**3 + 240*c**2 + 236*c.
-c*(c - 2)*(c + 59)*(3*c + 2)
Factor 2*k**2/3 + 24*k + 448/3.
2*(k + 8)*(k + 28)/3
Suppose 2*a**3/7 - 24*a**2/7 + 10*a = 0. Calculate a.
0, 5, 7
Factor -f**2/4 - 23*f/2 - 529/4.
-(f + 23)**2/4
Factor p**2/4 + 13*p/4 - 57/2.
(p - 6)*(p + 19)/4
Let x**2/6 + 971*x/2 = 0. What is x?
-2913, 0
Let 3*u**2/5 + 1206*u/5 + 480 = 0. What is u?
-400, -2
Factor 7*d**3/5 + 216*d**2 - 2989*d/5 - 942/5.
(d - 3)*(d + 157)*(7*d + 2)/5
Find z, given that -196*z**5 - 10276*z**4 - 33280*z**3 - 16864*z**2 + 18752*z - 3136 = 0.
-49, -2, 2/7
Factor -5*c**2 + 220*c.
-5*c*(c - 44)
Let -2*j**4 + 6*j**3 + 32*j**2 + 24*j = 0. Calculate j.
-2, -1, 0, 6
Find m, given that -2*m**4/3 - 248*m**3/3 - 214*m**2/3 + 3896*m/3 - 1640 = 0.
-123, -5, 2
Factor 4*h**2 - 2704*h.
4*h*(h - 676)
Let -4*z**5/3 - 128*z**4/9 + 80*z**3/9 + 136*z**2/3 + 124*z/9 - 88/9 = 0. Calculate z.
-11, -1, 1/3, 2
Factor 2*b**2/9 - 1492*b/9 + 278258/9.
2*(b - 373)**2/9
Factor 2*m**3/13 - 1110*m**2/13 - 1116*m/13 + 2224/13.
2*(m - 556)*(m - 1)*(m + 2)/13
Let 4*m**5 - 14572*m**4 + 13322364*m**3 - 92761668*m**2 + 198438336*m - 118984464 = 0. Calculate m.
1, 3, 1818
Solve 2*m**5/11 + 8*m**4/11 - 78*m**3/11 + 116*m**2/11 + 56*m/11 - 144/11 = 0.
-9, -1, 2
Let 2*z**5/7 + 62*z**4/7 + 216*z**3/7 - 32*z**2/7 - 128*z - 864/7 = 0. Calculate z.
-27, -2, 2
Factor -v**3 - 35*v**2 - 368*v - 1216.
-(v + 8)**2*(v + 19)
Suppose 4*y**4/5 + 32*y**3/5 + 76*y**2/5 + 48*y/5 = 0. Calculate y.
-4, -3, -1, 0
Factor -3*w**3 - 27*w**2 + 243*w - 405.
-3*(w - 3)**2*(w + 15)
Factor 5*o**3 + 930*o**2 + 5400*o.
5*o*(o + 6)*(o + 180)
Factor 2*g**5/17 - 180*g**4/17 - 740*g**3/17 - 1120*g**2/17 - 750*g/17 - 188/17.
2*(g - 94)*(g + 1)**4/17
Suppose b**4/6 - 7*b**3 - b**2/6 + 7*b = 0. What is b?
-1, 0, 1, 42
Factor -i**3/4 - 3*i**2/4 + 121*i/4 + 363/4.
-(i - 11)*(i + 3)*(i + 11)/4
Factor -p**3 - 6*p**2 - 8*p.
-p*(p + 2)*(p + 4)
Suppose -12*h**5 + 104*h**4 - 223*h**3 + 199*h**2 - 80*h + 12 = 0. What is h?
1/2, 2/3, 1, 6
Solve 4*j**2 + 800*j + 1584 = 0.
-198, -2
Factor 5*c**4 + 10*c**3 - 15*c**2 - 20*c + 20.
5*(c - 1)**2*(c + 2)**2
Factor 3*m**2/4 - 207*m - 2511/4.
3*(m - 279)*(m + 3)/4
Factor 3*f**4 + 36*f**3 - 84*f**2.
3*f**2*(f - 2)*(f + 14)
Suppose 154*s**5/9 + 304*s**4/9 + 146*s**3/9 - 4*s**2/9 = 0. Calculate s.
-1, 0, 2/77
Determine p, given that -3*p**2 + 38*p - 24 = 0.
2/3, 12
Factor -g**2 + 16*g - 28.
-(g - 14)*(g - 2)