, 2
Factor -3*c**2 + 84*c + 180.
-3*(c - 30)*(c + 2)
Solve -5*p**3 + 45*p**2 - 115*p + 75 = 0 for p.
1, 3, 5
Factor 8*z**3/3 - 254*z**2/3 - 328*z/3 - 22.
2*(z - 33)*(z + 1)*(4*z + 1)/3
Solve g**3/4 - 3*g**2/4 + 1 = 0.
-1, 2
Suppose 2*x**3/7 + 64*x**2/7 + 62*x/7 = 0. What is x?
-31, -1, 0
Solve v**2/4 + 48*v + 191/4 = 0.
-191, -1
Suppose -3*s**2/4 + 35*s/4 - 51/2 = 0. Calculate s.
17/3, 6
Determine d, given that 5*d**2/3 + 205*d/3 - 220 = 0.
-44, 3
Find y such that -5*y**2 - 4685*y - 4680 = 0.
-936, -1
Let -2*v**5/15 - 26*v**4/3 - 682*v**3/5 + 726*v**2/5 = 0. Calculate v.
-33, 0, 1
Suppose -k**3/4 - 4*k**2 - 53*k/4 + 35/2 = 0. Calculate k.
-10, -7, 1
Factor 2*p**4/7 - 8*p**3/7 - 384*p**2/7.
2*p**2*(p - 16)*(p + 12)/7
Solve 4*b**2 - 12*b - 432 = 0 for b.
-9, 12
Let m**3/10 - 99*m**2/10 + 2499*m/10 - 2401/10 = 0. What is m?
1, 49
Factor -2*o**2/5 - 1034*o/5 - 1032/5.
-2*(o + 1)*(o + 516)/5
Factor 5*l**4 - 5*l**3 - 60*l**2.
5*l**2*(l - 4)*(l + 3)
Let -2*s**2 - 92*s - 608 = 0. What is s?
-38, -8
Find c, given that -5*c**3 - 150*c**2 - 1500*c - 5000 = 0.
-10
Solve 2*a**3/11 + 12*a**2 + 382*a/11 + 252/11 = 0 for a.
-63, -2, -1
Factor 1264*u**3 - 3780*u**2 + 2492*u + 24.
4*(u - 2)*(u - 1)*(316*u + 3)
Factor 2*x**2/7 - 166*x/7 - 180.
2*(x - 90)*(x + 7)/7
Suppose -3*z**4 - 3*z**3 + 156*z**2 - 132*z - 288 = 0. Calculate z.
-8, -1, 2, 6
Factor f**2 - 29*f.
f*(f - 29)
Solve -4*i**2/9 + 32*i/3 + 448/9 = 0.
-4, 28
Factor -s**3 - 28*s**2 + 124*s - 128.
-(s - 2)**2*(s + 32)
Let 115*o**4 - 1040*o**3 - 2370*o**2 - 1160*o + 55 = 0. Calculate o.
-1, 1/23, 11
Let -w**3 + 15*w**2 - 26*w = 0. Calculate w.
0, 2, 13
Factor -4*z**2 - 316*z + 320.
-4*(z - 1)*(z + 80)
Solve -v**5/4 - 63*v**4/4 - 149*v**3 - 303*v**2 + 468*v = 0 for v.
-52, -6, 0, 1
Suppose 5*t**3 + 19200*t**2 + 38385*t + 19190 = 0. Calculate t.
-3838, -1
Factor -45*j**5 + 210*j**4 - 305*j**3 + 140*j**2 - 20*j.
-5*j*(j - 2)**2*(3*j - 1)**2
Let 4*s**2 + 3288*s + 675684 = 0. Calculate s.
-411
Let 2*g**5/17 - 288*g**4/17 + 10076*g**3/17 + 21024*g**2/17 + 10658*g/17 = 0. What is g?
-1, 0, 73
Solve -3*i**4 - 3*i**3 + 27*i**2 + 27*i = 0.
-3, -1, 0, 3
Suppose t**5 + 17*t**4 + 79*t**3 + 155*t**2 + 136*t + 44 = 0. What is t?
-11, -2, -1
Solve 2*c**4/11 + 6*c**3/11 - 18*c**2/11 - 54*c/11 = 0.
-3, 0, 3
Find o, given that -2*o**3 - 8*o**2 - 6*o = 0.
-3, -1, 0
Find j such that -3*j**2/2 - 80*j/3 + 6 = 0.
-18, 2/9
Factor -g**3/7 + 6*g**2/7 - 5*g/7.
-g*(g - 5)*(g - 1)/7
Determine f, given that -3*f**3/2 - f**2/2 + 4*f - 2 = 0.
-2, 2/3, 1
Let -2*v**2 + 14*v = 0. What is v?
0, 7
Factor 5*v**2 + 70*v + 245.
5*(v + 7)**2
Factor -3*g**3/7 - 3*g**2 - 45*g/7 - 27/7.
-3*(g + 1)*(g + 3)**2/7
Suppose 4*n**4 - 8*n**3 - 28*n**2 + 80*n - 48 = 0. What is n?
-3, 1, 2
Suppose 14*k**5/3 - 304*k**4/3 - 146*k**3 + 544*k**2/3 + 184*k/3 = 0. Calculate k.
-2, -2/7, 0, 1, 23
Factor n**3/2 - 15*n**2/2 + 22*n + 30.
(n - 10)*(n - 6)*(n + 1)/2
Factor 2*d**3/17 + 96*d**2/17 + 178*d/17 - 276/17.
2*(d - 1)*(d + 3)*(d + 46)/17
Determine z, given that 2*z**4 + 33*z**3 - 56*z**2 - 36*z = 0.
-18, -1/2, 0, 2
Let -3*l**2 + 93*l - 594 = 0. Calculate l.
9, 22
Determine y, given that -2*y**2/3 - 184*y/3 = 0.
-92, 0
Let a**3 + 26*a**2 + 71*a + 46 = 0. Calculate a.
-23, -2, -1
Factor c**3/3 + 5*c**2/3 - 13*c/3 + 7/3.
(c - 1)**2*(c + 7)/3
Find m, given that 2*m**4/3 + 248*m**3/3 + 480*m**2 + 2848*m/3 + 1888/3 = 0.
-118, -2
Factor 3*g**4 - 14700*g**3 + 18007500*g**2.
3*g**2*(g - 2450)**2
Suppose a**2 + 25*a - 116 = 0. Calculate a.
-29, 4
Find f, given that -2*f**2 - 60*f + 62 = 0.
-31, 1
Factor -2*k**3/9 + 22*k**2/9 - 56*k/9.
-2*k*(k - 7)*(k - 4)/9
Factor -5*l**3 + 1225*l**2 - 83375*l + 991875.
-5*(l - 115)**2*(l - 15)
Factor -i**2/2 - 14*i - 115/2.
-(i + 5)*(i + 23)/2
Find n, given that 5*n**3 + 10*n**2 - 215*n + 200 = 0.
-8, 1, 5
Find j such that -4*j**4 - 16*j**3 - 16*j**2 = 0.
-2, 0
Determine g so that -3*g**2 - 282*g + 576 = 0.
-96, 2
Suppose 3*a**4 + 57*a**3 + 279*a**2 + 15*a - 1650 = 0. Calculate a.
-11, -5, 2
Suppose 3*t**3/2 + 75*t**2 - 309*t/2 + 78 = 0. Calculate t.
-52, 1
What is d in -284089*d**2 - 2132*d - 4 = 0?
-2/533
Factor -m**5 - 6*m**4 + 2*m**3 + 12*m**2 - m - 6.
-(m - 1)**2*(m + 1)**2*(m + 6)
Factor -4*k**4 - 16*k**3 - 16*k**2.
-4*k**2*(k + 2)**2
What is j in -j**3/7 + 58*j**2/7 - 841*j/7 = 0?
0, 29
Find n, given that -2*n**3/3 - 20*n**2/3 + 18*n + 24 = 0.
-12, -1, 3
Let -3*z**2/5 + 156*z/5 = 0. What is z?
0, 52
Determine i, given that 4*i**5 + 52*i**4 - 332*i**3 + 492*i**2 - 216*i = 0.
-18, 0, 1, 3
What is d in -28*d**2 - 432*d - 180 = 0?
-15, -3/7
Solve -a**5 + 2*a**4 + 10*a**3 - 20*a**2 - 9*a + 18 = 0 for a.
-3, -1, 1, 2, 3
Suppose -2*n**3/3 - 28*n**2/9 - 16*n/9 = 0. Calculate n.
-4, -2/3, 0
Determine r, given that -5*r**3 - 80*r**2 + 495*r - 630 = 0.
-21, 2, 3
Solve 4*z**3 - 100*z**2 + 472*z + 576 = 0.
-1, 8, 18
What is t in -8*t**5/13 + 968*t**4/13 - 2858*t**3/13 + 3080*t**2/13 - 1418*t/13 + 236/13 = 0?
1/2, 1, 118
Factor -2*y**3 + 6*y + 4.
-2*(y - 2)*(y + 1)**2
Let -20*d**2 + 88*d - 32 = 0. What is d?
2/5, 4
Let 81*h**3 + 1047*h**2 - 2508*h + 180 = 0. Calculate h.
-15, 2/27, 2
Factor -3*r**4/2 + 21*r**2/2 - 9*r.
-3*r*(r - 2)*(r - 1)*(r + 3)/2
Find t, given that t**4/3 + 19*t**3/3 + 16*t**2 - 4*t/3 - 64/3 = 0.
-16, -2, 1
Let -10*y**2/11 - 92*y/11 - 96/11 = 0. What is y?
-8, -6/5
Find f, given that -14*f**5/9 - 682*f**4/9 - 266*f**3 - 2438*f**2/9 - 352*f/9 + 40 = 0.
-45, -2, -1, 2/7
Factor 2*u**2/13 - 112*u/13 + 1568/13.
2*(u - 28)**2/13
Find h such that 36*h**3 - 152*h**2 + 140*h - 24 = 0.
2/9, 1, 3
Factor 2*d**5 - 8*d**4 + 4*d**3 + 8*d**2 - 6*d.
2*d*(d - 3)*(d - 1)**2*(d + 1)
Factor -3*w**4 - 3*w**3 + 9*w**2 + 15*w + 6.
-3*(w - 2)*(w + 1)**3
Find p, given that 2*p**3/5 - 16*p**2/5 - 2*p/5 + 16/5 = 0.
-1, 1, 8
Let -24*r**4 - 356*r**3/3 - 132*r**2 - 112*r/3 = 0. What is r?
-7/2, -1, -4/9, 0
Determine n, given that -6*n**5/5 + 8*n**4/5 + 16*n**3/5 - 12*n**2/5 - 2*n + 4/5 = 0.
-1, 1/3, 1, 2
Factor r**2/4 - 6*r.
r*(r - 24)/4
Let -30*c**3/7 - 52*c**2/7 + 106*c/7 - 24/7 = 0. What is c?
-3, 4/15, 1
Determine o so that 5*o**2 - 655*o - 1330 = 0.
-2, 133
Suppose 4*m**5 + 264*m**4 + 3872*m**3 = 0. Calculate m.
-44, -22, 0
Find y such that -2*y**5/5 + 1578*y**4/5 - 313614*y**3/5 + 926686*y**2/5 + 6288*y/5 - 1235592/5 = 0.
-1, 2, 393
Factor m**3 - 16*m**2 - 4*m + 64.
(m - 16)*(m - 2)*(m + 2)
Factor 2*m**3/7 - 5356*m**2/7 - 16082*m/7 - 1532.
2*(m - 2681)*(m + 1)*(m + 2)/7
Factor 3*x**4 - 36*x**3 + 63*x**2 - 30*x.
3*x*(x - 10)*(x - 1)**2
Determine g so that -3*g**5/5 - 72*g**4/5 - 12*g**3 + 42*g**2 + 63*g/5 - 138/5 = 0.
-23, -2, -1, 1
Determine f so that -6*f**5 - 1688*f**4/3 - 1280*f**3/3 + 2060*f**2/3 + 1298*f/3 - 124 = 0.
-93, -1, 2/9, 1
What is k in 24*k**2 - 100*k + 16 = 0?
1/6, 4
Solve -5*q**5 - 45*q**4 - 115*q**3 - 15*q**2 + 180*q = 0.
-4, -3, 0, 1
Factor 2*s**2/7 - 124*s/7 + 122/7.
2*(s - 61)*(s - 1)/7
Factor 4*w**2/7 - 152*w/7 - 320/7.
4*(w - 40)*(w + 2)/7
Solve -4*h**2 - 136*h - 372 = 0.
-31, -3
Suppose -5*m**2/3 - 85*m/3 + 1540/3 = 0. What is m?
-28, 11
Solve -2*b**3 + 6*b**2 + 512*b + 504 = 0 for b.
-14, -1, 18
Find d, given that d**5/2 + 13*d**4/8 - 5*d**3/4 - 49*d**2/8 - 15*d/4 = 0.
-3, -5/4, -1, 0, 2
Suppose -5*i**5/3 - 26*i**4 - 66*i**3 + 812*i**2/3 - 231*i + 54 = 0. Calculate i.
-9, 2/5, 1
Factor 3*x**5 - 3*x**4 - 9*x**3 + 3*x**2 + 6*x.
3*x*(x - 2)*(x - 1)*(x + 1)**2
Suppose -4*w**4 + 72*w**3 + 80*w**2 - 72*w - 76 = 0. Calculate w.
-1, 1, 19
Let a**2 - 52*a + 676 = 0. What is a?
26
Factor 2*f**3/7 + 58*f**2/7 + 200*f/7.
2*f*(f + 4)*(f + 25)/7
Let 5*i**2/4 + i - 1/4 = 0. Calculate i.
-1, 1/5
Solve -m**2 - 10*m - 21 = 0 for m.
-7, -3
Factor -a**4 + 8*a**3/7 + 9*a**2 - 72*a/7.
-a*(a - 3)*(a + 3)*(7*a - 8)/7
What is u in 3*u**2/7 + 81*u + 1122/7 = 0?
-187, -2
Determine q, given that q**2 + 2459*q + 2458 = 0.
-2458, -1
Suppose -5*k**2/3 - 3341*k/3 - 668/3 = 0. What is k?
-668, -1/5
Suppose 3*p**3 + 48*p**2 + 204*p + 240 = 0. What is p?
-10, -4, -2
Let 2*u**2/9 + 314*u/9 - 212/3 = 0. What is u?
-159, 2
Factor t**4/2 - 3*t**3 - 15*t**2/2 - 4*t.
t*(t - 8)*(t + 1)**2/2
Let -w**4/5 + 31*w**3/5 + 37*w**2/5 - 163*w/5 + 96/5 = 0. Calculate w.
-3, 1, 32
Factor -r**4/2 + 3*r**2/2 - r.
-r*(r - 1)**2*(r + 2)/2
Suppose -3*w**3 + 9*w**2 + 3*w - 9 = 0