-(f + 2)**2*(5*f + 7)
Suppose -t**5/7 - t**4/7 + 41*t**3/7 + 113*t**2/7 - 40*t/7 - 16 = 0. Calculate t.
-4, -1, 1, 7
Suppose 4*x**5/9 + 100*x**4/9 + 296*x**3/3 + 376*x**2 + 612*x + 324 = 0. What is x?
-9, -3, -1
What is b in -3*b**4 + 3*b**3 + 30*b**2 - 12*b - 72 = 0?
-2, 2, 3
Factor -v**3/2 - 7*v**2/2 - 6*v.
-v*(v + 3)*(v + 4)/2
Factor f**3 + 21*f**2 - 96*f + 100.
(f - 2)**2*(f + 25)
What is l in l**2/2 + 511*l/2 + 255 = 0?
-510, -1
Factor z**5/7 + z**4 + 10*z**3/7 - 2*z**2/7 - 11*z/7 - 5/7.
(z - 1)*(z + 1)**3*(z + 5)/7
Let 2*o**3/3 - 274*o**2/3 + 12190*o/3 - 174158/3 = 0. Calculate o.
31, 53
Factor 3*a**2 + 357*a - 360.
3*(a - 1)*(a + 120)
Factor k**2 - 21*k - 46.
(k - 23)*(k + 2)
Factor -5*l**2 + 140*l + 1900.
-5*(l - 38)*(l + 10)
Solve 3*x**3 + 477*x**2 + 942*x = 0 for x.
-157, -2, 0
Factor -v**2/4 - 29*v/4 + 24.
-(v - 3)*(v + 32)/4
Factor q**4 - 17*q**3 - 38*q**2.
q**2*(q - 19)*(q + 2)
Solve -3*v**3/5 + 1203*v**2/5 - 2397*v/5 + 1197/5 = 0 for v.
1, 399
Suppose -u**4/6 - 2*u**3/3 + 19*u**2/6 + 23*u/3 + 4 = 0. Calculate u.
-6, -1, 4
Determine b so that b**4/6 - 14*b**3 + 698*b**2/3 + 2576*b + 16928/3 = 0.
-4, 46
Solve 20*j**5 + 140*j**4/3 - 25*j**3 - 305*j**2/3 - 50*j = 0 for j.
-2, -1, -5/6, 0, 3/2
Let -2*g**3/3 - 3*g**2 - 10*g/3 = 0. What is g?
-5/2, -2, 0
Solve -2*d**3 - 106*d**2 - 1006*d - 902 = 0.
-41, -11, -1
Factor 2*y**3/5 + 58*y**2/5.
2*y**2*(y + 29)/5
Suppose 44*p**5 + 96*p**4 - 644*p**3 - 120*p**2 = 0. What is p?
-5, -2/11, 0, 3
Factor -2*q**4/3 + 2*q**2/3.
-2*q**2*(q - 1)*(q + 1)/3
Factor -2*g**2 - 28*g - 66.
-2*(g + 3)*(g + 11)
Factor 4*v**4/3 + 92*v**3/3 - 4*v**2/3 - 92*v/3.
4*v*(v - 1)*(v + 1)*(v + 23)/3
Suppose 16*z**2 - 2120*z + 70225 = 0. Calculate z.
265/4
Factor -3*r**2/5 - 15*r + 2322/5.
-3*(r - 18)*(r + 43)/5
What is a in -3*a**3 + 108*a**2 + 3828*a = 0?
-22, 0, 58
Solve 4*k**4 - 48*k**3 - 1136*k**2 + 7680*k + 102400 = 0.
-10, 16
Suppose 3*s**5/2 + 6*s**4 - 21*s**3/2 - 15*s**2 = 0. What is s?
-5, -1, 0, 2
Solve -3*f**4 - 6*f**3 + 93*f**2 + 96*f - 720 = 0 for f.
-5, -4, 3, 4
Factor -4*p**3 - 16*p**2 + 44*p - 24.
-4*(p - 1)**2*(p + 6)
Factor -55*w**2 + 475*w - 930.
-5*(w - 3)*(11*w - 62)
Factor 3*y**2/2 - 51*y + 99/2.
3*(y - 33)*(y - 1)/2
Factor c**3/3 + 158*c**2 - 317*c + 476/3.
(c - 1)**2*(c + 476)/3
Find u, given that 5*u**2 + 5*u = 0.
-1, 0
Factor 2*d**5 - 2*d**4 - 346*d**3 + 994*d**2 + 15680*d - 68600.
2*(d - 7)**3*(d + 10)**2
Factor n**2/9 + 4*n/3 - 21.
(n - 9)*(n + 21)/9
Suppose 2*b**2 + 24*b - 266 = 0. Calculate b.
-19, 7
Suppose 2*l**5 - 5*l**4/2 - 7*l**3/2 + l**2 = 0. Calculate l.
-1, 0, 1/4, 2
What is h in -3494*h**2/11 - 6984*h/11 + 8/11 = 0?
-2, 2/1747
Factor l**3 - 6*l**2 + 9*l.
l*(l - 3)**2
Factor -z**4 - z**3 + 18*z**2 + 52*z + 40.
-(z - 5)*(z + 2)**3
Factor 4*d**2 + 44*d - 168.
4*(d - 3)*(d + 14)
Factor 5*s**4/4 - 325*s**3/2 + 5115*s**2 + 10890*s.
5*s*(s - 66)**2*(s + 2)/4
Factor -h**3 - 27*h**2 - 168*h + 196.
-(h - 1)*(h + 14)**2
Factor -3*z**3/8 - 297*z**2/8 - 7497*z/8 - 7203/8.
-3*(z + 1)*(z + 49)**2/8
Suppose 2*v**4/7 + 12*v**3/7 - 54*v**2/7 + 8*v/7 + 72/7 = 0. What is v?
-9, -1, 2
Factor 5*i**3/4 - 258*i**2 + 53457*i/4 - 10609/2.
(i - 103)**2*(5*i - 2)/4
Solve 15*k**5/7 - 9*k**4/7 - 60*k**3/7 + 36*k**2/7 = 0.
-2, 0, 3/5, 2
Factor -6*f**2 + 2643*f + 1323.
-3*(f - 441)*(2*f + 1)
Factor -t**3/7 - 3*t**2/7 + 24*t/7 - 4.
-(t - 2)**2*(t + 7)/7
Suppose -75*j**4 + 665*j**3 + 2640*j**2 + 2140*j + 240 = 0. What is j?
-2, -1, -2/15, 12
Factor 5*i**4 + 10*i**3 - 15*i**2 - 20*i + 20.
5*(i - 1)**2*(i + 2)**2
Factor 2*g**2/9 - 34*g/3 + 84.
2*(g - 42)*(g - 9)/9
Factor d**2/4 + 951*d/2 + 904401/4.
(d + 951)**2/4
Factor -4*x**2/5 + 5764*x/5.
-4*x*(x - 1441)/5
Solve -u**4/4 - 19*u**3/8 - 11*u**2/4 + 2*u = 0.
-8, -2, 0, 1/2
Find m such that 3*m**2 + 93*m + 324 = 0.
-27, -4
Factor -4*h**2 - 1868*h + 1872.
-4*(h - 1)*(h + 468)
Determine k, given that 2*k**2 - 18*k = 0.
0, 9
What is k in -4*k**5 - 68*k**4 - 248*k**3 - 64*k**2 + 384*k = 0?
-12, -4, -2, 0, 1
Solve -169*f**5/3 - 442*f**4 - 1990*f**3/3 - 228*f**2 + 143*f/3 - 2 = 0.
-6, -1, 1/13
Factor -2*y**5/5 - 18*y**4/5 + 162*y**3/5 + 1458*y**2/5.
-2*y**2*(y - 9)*(y + 9)**2/5
Solve -p**3/3 + 32*p**2/3 - 89*p/3 + 58/3 = 0 for p.
1, 2, 29
Determine k so that 3*k**3/7 - 6*k**2 + 72*k/7 = 0.
0, 2, 12
Find q, given that -2*q**5 - 22*q**4 - 12*q**3 + 316*q**2 + 14*q - 294 = 0.
-7, -1, 1, 3
Factor 5*t**3 - 1155*t**2 + 88935*t - 2282665.
5*(t - 77)**3
Suppose -370229643*o**5/4 - 159603003*o**4/4 + 45234114*o**3 - 7441506*o**2 - 18972*o - 12 = 0. Calculate o.
-1, -2/1587, 2/7
Factor r**3/2 - 5*r**2 + 8*r.
r*(r - 8)*(r - 2)/2
Factor -35*u**3 + 185*u**2 - 260*u + 60.
-5*(u - 3)*(u - 2)*(7*u - 2)
Factor 2*c**2 - 10*c - 28.
2*(c - 7)*(c + 2)
Let -g**2/3 + 19*g = 0. What is g?
0, 57
Factor t**5 - 5*t**4 - 31*t**3 - 43*t**2 - 18*t.
t*(t - 9)*(t + 1)**2*(t + 2)
Let -34*n**3 + 351*n**2/5 - 18*n = 0. Calculate n.
0, 3/10, 30/17
Factor u**4/4 + 7*u**3/2 - 3711*u**2/4 - 6580*u + 883600.
(u - 40)**2*(u + 47)**2/4
Factor 2*z**2/3 + 1072*z/3 + 143648/3.
2*(z + 268)**2/3
Factor 2*h**4 + 26*h**3 + 94*h**2 + 70*h.
2*h*(h + 1)*(h + 5)*(h + 7)
Factor x**5/8 + 3*x**4/4 + 13*x**3/8 + 3*x**2/2 + x/2.
x*(x + 1)**2*(x + 2)**2/8
Let -15*q**5 + 215*q**4 - 690*q**3 - 560*q**2 = 0. Calculate q.
-2/3, 0, 7, 8
Determine h so that 2*h**3/11 - 602*h**2/11 + 45600*h/11 - 45000/11 = 0.
1, 150
Determine s, given that 5*s**3 - 30*s**2 - 45*s + 70 = 0.
-2, 1, 7
Let -w**2/3 - 4*w/3 + 4 = 0. What is w?
-6, 2
Factor 2*h**3/7 + 12*h**2/7 + 22*h/7 + 12/7.
2*(h + 1)*(h + 2)*(h + 3)/7
Factor -4*f**3 - 228*f**2 + 232*f.
-4*f*(f - 1)*(f + 58)
Suppose 4*i**5/7 + 124*i**4/7 - 536*i**3/7 + 824*i**2/7 - 556*i/7 + 20 = 0. What is i?
-35, 1
Find y such that 4*y**5 - 60*y**4 + 44*y**3 + 188*y**2 - 288*y + 112 = 0.
-2, 1, 14
Factor -2*o**3/9 + 80*o**2/9 + 56*o/3.
-2*o*(o - 42)*(o + 2)/9
Find k, given that -12*k**5 + 316*k**4/3 + 456*k**3 + 144*k**2 - 1696*k/3 - 128 = 0.
-2, -2/9, 1, 12
Suppose -5*p**2 - 105*p + 1160 = 0. What is p?
-29, 8
Solve m**2/6 + 4*m + 23/6 = 0 for m.
-23, -1
Let 4*f**5 - 576*f**4 + 19552*f**3 + 85248*f**2 + 87616*f = 0. Calculate f.
-2, 0, 74
Factor -g**5 + 5*g**4 - 3*g**3 - 9*g**2.
-g**2*(g - 3)**2*(g + 1)
Factor -y**2/8 - 179*y/2 - 32041/2.
-(y + 358)**2/8
Suppose b**4/3 + 71*b**3/3 + 575*b**2 + 15341*b/3 + 24334/3 = 0. What is b?
-23, -2
Factor -4*h**2/13 + 62*h/13 + 462/13.
-2*(h - 21)*(2*h + 11)/13
Factor -2*q**4 + 4*q**3 - 2*q**2.
-2*q**2*(q - 1)**2
Suppose -p**3 + 6*p**2 - 3*p - 10 = 0. What is p?
-1, 2, 5
Factor s**2/3 - 1052*s/3 + 276676/3.
(s - 526)**2/3
Factor -9*x**3/2 - 35*x**2 - 64*x + 16.
-(x + 4)**2*(9*x - 2)/2
Solve 4*u**2 + 60*u - 736 = 0.
-23, 8
Let 25*c**4 + 65*c**3 - 445*c**2 - 785*c - 300 = 0. Calculate c.
-5, -1, -3/5, 4
Determine r so that 3*r**5/4 + 3*r**4/4 - 15*r**3/4 - 15*r**2/4 + 3*r + 3 = 0.
-2, -1, 1, 2
Solve -c**2/4 + 35*c/4 + 50 = 0.
-5, 40
Factor 2*j**3 + 160*j**2 + 3626*j + 16428.
2*(j + 6)*(j + 37)**2
Factor -a**3 - 43*a**2 - 82*a.
-a*(a + 2)*(a + 41)
Solve -z**5 - 3*z**4 + z**3 + 11*z**2 + 12*z + 4 = 0 for z.
-2, -1, 2
Factor 3*v**2 + 42*v + 144.
3*(v + 6)*(v + 8)
Find r such that 2*r**2/11 - 32*r/11 + 30/11 = 0.
1, 15
Factor r**3/2 - 229*r**2/4 - 29*r + 115/4.
(r - 115)*(r + 1)*(2*r - 1)/4
Factor 2*p**5 - 14*p**4 + 38*p**3 - 50*p**2 + 32*p - 8.
2*(p - 2)**2*(p - 1)**3
Factor d**2 + 75*d.
d*(d + 75)
Solve -g**2/4 - 19*g/4 - 22 = 0 for g.
-11, -8
Factor -j**2/5 + 74*j/5.
-j*(j - 74)/5
Let 20*i**3 - 592*i**2 - 860*i - 248 = 0. Calculate i.
-1, -2/5, 31
Let -4*d**2 - 28*d = 0. Calculate d.
-7, 0
Determine w, given that w**2/2 - 5*w/2 + 3 = 0.
2, 3
Factor -g**2/2 + 7*g - 20.
-(g - 10)*(g - 4)/2
Factor f**4 - 9*f**3 - 26*f**2 + 36*f + 88.
(f - 11)*(f - 2)*(f + 2)**2
Suppose q**3/7 - 3027*q**2/7 + 327024*q + 2292196/7 = 0. What is q?
-1, 1514
Let -4*o**5/3 - 272*o**4/3 - 736*o**3 - 5032*o**2/3 - 4508*o/3 - 472 = 0. Calculate o.
-59, -6, -1
Factor -4*t**2 + 36*t - 56.
-4*(t - 7)*(t - 2)
Factor -o**3/4 + o**2/4 + o - 1.
-(o - 2)*(o - 1)*(o + 2)/4
Factor 7*i**3 + 1111*i**2/3 - 106*i/3.
i*(i + 53)*(21*i - 2)/3
Find c such that -121*c**4/2 + 2321*c**3 - 45357*c**2/2 + 8018*c - 722 = 0.
2/11, 19
Factor 5*s**4 + 1535*s**3 - 9330*s**2 + 18740*s - 12520.
5*(s - 2)**3*(s + 313)
Factor