**2 + 76*m.
-4*m*(m - 19)
Factor a**2/3 + 116*a/3 + 3364/3.
(a + 58)**2/3
Factor g**3/8 - g**2/2 - 11*g/8 + 15/4.
(g - 5)*(g - 2)*(g + 3)/8
Factor -3*m**3/7 + 72*m**2/7 + 3*m/7 - 72/7.
-3*(m - 24)*(m - 1)*(m + 1)/7
Let 4*t**2 + 548*t - 552 = 0. What is t?
-138, 1
Let -3*o**5 - 885*o**4 - 65706*o**3 - 63942*o**2 + 65709*o + 64827 = 0. Calculate o.
-147, -1, 1
Factor -2*q**2/13 - 42*q/13 - 216/13.
-2*(q + 9)*(q + 12)/13
Factor -o**4/8 + 3*o**3 - 117*o**2/8 - 169*o/4.
-o*(o - 13)**2*(o + 2)/8
Factor -3*w**4 - 522*w**3 - 1548*w**2 - 1542*w - 513.
-3*(w + 1)**3*(w + 171)
Factor 93636*d**3 - 192168*d**2 + 9856*d - 128.
4*(d - 2)*(153*d - 4)**2
Find m, given that -3*m**2 + 12*m - 9 = 0.
1, 3
Suppose -5*a**2 - 25*a - 30 = 0. Calculate a.
-3, -2
Suppose 35*d**5 - 115*d**4 - 775*d**3 - 925*d**2 - 160*d + 140 = 0. What is d?
-2, -1, 2/7, 7
Suppose -2*v**2/7 + 1782*v/7 - 508 = 0. Calculate v.
2, 889
Suppose -v**3/3 - v**2/9 = 0. What is v?
-1/3, 0
Find k such that 4*k**2/5 + 2424*k/5 + 367236/5 = 0.
-303
Solve d**3 - 74*d**2 - 75*d = 0.
-1, 0, 75
Determine w so that -w**4/9 + w**3 - 29*w**2/9 + 13*w/3 - 2 = 0.
1, 2, 3
Factor 3*l**2 - 1353*l - 1356.
3*(l - 452)*(l + 1)
Find u such that u**5/5 + u**4/5 - 3*u**3/5 - u**2 - 2*u/5 = 0.
-1, 0, 2
Factor -2*k**2 - 406*k.
-2*k*(k + 203)
Suppose 2*n**3/5 - 6*n**2/5 - 48*n/5 + 32 = 0. Calculate n.
-5, 4
Solve o**4/6 + 7*o**3/3 - 106*o**2/3 + 108*o - 96 = 0 for o.
-24, 2, 6
Solve c**4 - 20*c**3 + 146*c**2 - 460*c + 525 = 0 for c.
3, 5, 7
What is b in -b**2/2 + 253*b - 64009/2 = 0?
253
Determine p so that 3*p**5 - 12*p**4 + 15*p**3 - 6*p**2 = 0.
0, 1, 2
Suppose l**3 - 31*l**2 + 40*l + 3600 = 0. What is l?
-9, 20
Let -2*h**5/13 + 12*h**4/13 + 48*h**3/13 + 4*h**2 + 18*h/13 = 0. Calculate h.
-1, 0, 9
Suppose -49*l**3/3 - 3206*l**2/3 + 1844*l/3 - 88 = 0. Calculate l.
-66, 2/7
Factor -2*k**3/11 - 6156*k**2/11 - 6316056*k/11 - 2160091152/11.
-2*(k + 1026)**3/11
Factor m**2/7 - 106*m/7 - 107/7.
(m - 107)*(m + 1)/7
Solve 25*i**5 + 110*i**4 + 40*i**3 - 400*i**2 - 560*i - 160 = 0 for i.
-2, -2/5, 2
Factor 4*o**2 + 56*o + 96.
4*(o + 2)*(o + 12)
Factor 4*p**2 - 248*p - 512.
4*(p - 64)*(p + 2)
Factor x**2 - 22*x - 23.
(x - 23)*(x + 1)
Factor 5*c**3/2 - 3685*c**2 + 1361600*c - 2708480.
5*(c - 736)**2*(c - 2)/2
Factor -3*q**3/4 - 9*q**2/2 + 507*q/4 - 459/2.
-3*(q - 9)*(q - 2)*(q + 17)/4
Determine i so that -2*i**4/5 + 22*i**3/5 - 14*i**2/5 - 294*i/5 = 0.
-3, 0, 7
Solve 4*j**2/9 + 40*j + 704/9 = 0 for j.
-88, -2
Let 2*u**2/9 + 10*u/9 - 28/9 = 0. Calculate u.
-7, 2
Find w, given that 3*w**5/5 + 6*w**4/5 - 81*w**3 - 84*w**2 + 1572*w/5 + 1584/5 = 0.
-12, -2, -1, 2, 11
Suppose 2*b**2/9 + 2696*b/9 + 908552/9 = 0. What is b?
-674
Solve -3*t**4 + 9*t**3/4 + 21*t**2 - 135*t/4 + 27/2 = 0 for t.
-3, 3/4, 1, 2
Factor -2*j**4 - 88*j**3 - 744*j**2 - 2240*j - 2176.
-2*(j + 2)*(j + 4)**2*(j + 34)
Factor 2*m**2/5 - 31*m - 78/5.
(m - 78)*(2*m + 1)/5
Solve 4*i**2 + 232*i + 3364 = 0.
-29
Suppose -l**3 + 5*l**2 + 168*l + 612 = 0. What is l?
-6, 17
Factor j**4/4 + 2*j**3.
j**3*(j + 8)/4
Factor -5*d**2 - 1030*d - 3045.
-5*(d + 3)*(d + 203)
Find t, given that -135*t**5/4 - 351*t**4/4 + 6747*t**3/4 - 8829*t**2/4 + 957*t - 135 = 0.
-9, 1/3, 2/5, 2/3, 5
Let g**3/5 - 367*g**2/5 - 2229*g/5 - 3357/5 = 0. Calculate g.
-3, 373
Factor -z**3/4 - 45*z**2/2 - 431*z/4 - 255/2.
-(z + 2)*(z + 3)*(z + 85)/4
Factor 3*w**4/8 + 3*w**3/8 - 3*w**2/4.
3*w**2*(w - 1)*(w + 2)/8
Find a such that -a**3/6 - 13*a**2/6 + 34*a/3 = 0.
-17, 0, 4
Solve -5*t**5 + 25*t**4 + 5*t**3 - 25*t**2 = 0.
-1, 0, 1, 5
Determine f so that 9*f**2/4 + 129*f - 87 = 0.
-58, 2/3
Let g**4 + 32*g**3 + 222*g**2 - 544*g + 289 = 0. What is g?
-17, 1
Factor -4*w**4 - 128*w**3 + 876*w**2 - 1368*w.
-4*w*(w - 3)**2*(w + 38)
Solve 4*q**5 - 36*q**4 - 468*q**3 + 1636*q**2 - 96*q - 2160 = 0.
-9, -1, 2, 15
Determine m, given that -3*m**2 + 162*m - 2187 = 0.
27
Determine p so that 2*p**2 + 468*p + 27378 = 0.
-117
Factor -4*i**4 + 28*i**3 + 36*i**2 - 460*i + 400.
-4*(i - 5)**2*(i - 1)*(i + 4)
What is o in 4*o**2 - 992*o = 0?
0, 248
Determine c, given that -4*c**2/7 - 16672*c/7 - 17372224/7 = 0.
-2084
Find l, given that 8*l**4/5 - 62*l**3/5 + 8*l**2 + 14*l/5 = 0.
-1/4, 0, 1, 7
Determine v so that 4*v**4 - 12*v**3 + 16*v = 0.
-1, 0, 2
Factor -h**2/2 - 2472*h - 3055392.
-(h + 2472)**2/2
Let -3*k**4/2 - 21*k**3 + 45*k**2/2 = 0. What is k?
-15, 0, 1
Factor c**2/2 - 928*c + 430592.
(c - 928)**2/2
Let -18*d**5/7 - 708*d**4/7 + 394*d**3 - 3408*d**2/7 + 1376*d/7 = 0. Calculate d.
-43, 0, 1, 4/3
What is x in -x**4 - 113*x**3 = 0?
-113, 0
Suppose -2*i**4/7 - 6*i**3/7 - 6*i**2/7 - 2*i/7 = 0. What is i?
-1, 0
Factor x**3/6 - 66*x**2 + 6534*x.
x*(x - 198)**2/6
Suppose 2*s**3/15 + 26*s**2/15 + 16*s/3 + 24/5 = 0. Calculate s.
-9, -2
Suppose -5*z**5 - 55*z**4 - 40*z**3 + 100*z**2 = 0. Calculate z.
-10, -2, 0, 1
Let 3*o**5/4 + 705*o**4/2 - 1413*o**3/4 = 0. What is o?
-471, 0, 1
What is f in -3*f**2 + 99*f + 102 = 0?
-1, 34
Let -33*u**4/4 - 35*u**3/4 + 16*u**2 + u = 0. What is u?
-2, -2/33, 0, 1
Factor -4*y**5 - 12*y**4 - 12*y**3 - 4*y**2.
-4*y**2*(y + 1)**3
Solve -2*k**2/7 + 424*k/7 - 120 = 0.
2, 210
Factor -2*w**4/7 - 176*w**3 - 2458*w**2/7 - 1228*w/7.
-2*w*(w + 1)**2*(w + 614)/7
Factor -3*i**4 + 33*i**3 - 69*i**2 - 285*i + 900.
-3*(i - 5)**2*(i - 4)*(i + 3)
Determine p so that 4*p**4/5 + 32*p**3/5 - 36*p**2/5 - 432*p/5 + 432/5 = 0.
-6, 1, 3
Factor -3*x**4 - 42*x**3 - 72*x**2.
-3*x**2*(x + 2)*(x + 12)
Factor 5*l**3 + 135*l**2 + 1200*l + 3500.
5*(l + 7)*(l + 10)**2
Suppose o**2 - 11104*o + 30824704 = 0. Calculate o.
5552
Let 4*f**3 - 88*f**2 - 92*f = 0. What is f?
-1, 0, 23
Let p**4/2 + 6*p**3 + 26*p**2 + 48*p + 32 = 0. What is p?
-4, -2
Factor 2*j**3 - 32*j**2 - 110*j - 76.
2*(j - 19)*(j + 1)*(j + 2)
Factor 2*a**2/3 + 416*a/3 - 418/3.
2*(a - 1)*(a + 209)/3
Factor -2*y**4/3 + 4*y**3 - 36*y + 54.
-2*(y - 3)**3*(y + 3)/3
Solve -4*j**2 + 476*j + 480 = 0.
-1, 120
Factor -2*d**2/5 + 134*d - 4592/5.
-2*(d - 328)*(d - 7)/5
Factor j**5/2 + 3*j**4 + 2*j**3 - 3*j**2 - 5*j/2.
j*(j - 1)*(j + 1)**2*(j + 5)/2
Let -2*j**4/9 - 2*j**3 + 6*j**2 + 98*j/9 - 44/3 = 0. What is j?
-11, -2, 1, 3
Determine p, given that 2*p**2 - 424*p + 22472 = 0.
106
Determine h, given that h**2/4 + 23*h/4 + 21/2 = 0.
-21, -2
Factor -5*l**4 - 20*l**3 - 25*l**2 - 10*l.
-5*l*(l + 1)**2*(l + 2)
Find r such that 5*r**3 + 1160*r**2 - 30000*r + 184320 = 0.
-256, 12
Suppose 2*m**4/11 - 2*m**3/11 - 14*m**2/11 + 26*m/11 - 12/11 = 0. Calculate m.
-3, 1, 2
Determine x so that 20*x**5 + 115*x**4 + 190*x**3 + 65*x**2 - 30*x = 0.
-3, -2, -1, 0, 1/4
Factor p**4/5 + 102*p**3/5 + 2497*p**2/5 - 5304*p/5 + 2704/5.
(p - 1)**2*(p + 52)**2/5
Solve 4*r**2 - 2500*r + 2496 = 0.
1, 624
Let -4*i**4 + 160*i**3 - 1972*i**2 + 6936*i = 0. Calculate i.
0, 6, 17
Factor -380*k**4/3 - 126*k**3 + 2*k**2/3.
-2*k**2*(k + 1)*(190*k - 1)/3
Factor -4*r**5/3 - 16*r**4 + 52*r**3/3.
-4*r**3*(r - 1)*(r + 13)/3
Factor -2*m**3/11 - 138*m**2/11 - 388*m/11 + 48.
-2*(m - 1)*(m + 4)*(m + 66)/11
Suppose 3*f**2 + 105*f + 102 = 0. Calculate f.
-34, -1
Factor -2*c**3/17 + 290*c**2/17 - 10656*c/17 + 10368/17.
-2*(c - 72)**2*(c - 1)/17
Suppose 5*o**4 - 210*o**3 + 955*o**2 - 1110*o = 0. Calculate o.
0, 2, 3, 37
Solve -4*q**5 - q**4 + 51*q**3 + 76*q**2 - 20*q - 48 = 0 for q.
-2, -1, 3/4, 4
Solve 2*r**3 + 14*r**2 - 10*r - 150 = 0.
-5, 3
Let -8*d**2/15 - 106*d/5 + 16/3 = 0. Calculate d.
-40, 1/4
What is n in -3*n**2 + 249*n + 510 = 0?
-2, 85
Suppose -f**2/2 + 125*f/2 + 127 = 0. What is f?
-2, 127
Find q such that q**2 + 28*q + 196 = 0.
-14
Solve -4*r**5 + 28*r**4 - 52*r**3 + 4*r**2 + 56*r - 32 = 0 for r.
-1, 1, 2, 4
Factor -2*z**2 + 2580*z - 7722.
-2*(z - 1287)*(z - 3)
Solve 2*l**2/11 + 24*l/11 + 2 = 0 for l.
-11, -1
Solve -4*o**4/9 - 28*o**3/9 - 16*o**2/9 + 16*o/3 = 0.
-6, -2, 0, 1
Suppose -2*z**2/3 - 6*z + 44/3 = 0. What is z?
-11, 2
Let 3*s**5/2 - 11*s**4/3 - 11*s**3/6 + 26*s**2/3 - 14*s/3 = 0. Calculate s.
-14/9, 0, 1, 2
Find j such that -2*j**2/3 - 38*j/3 = 0.
-19, 0
Factor 25*x**2/4 + 20*x - 225/4.
5*(x + 5)*(5*x - 9)/4
What is x in -4*x**3 + 32*x**2 - 76*x + 48 = 0?
1, 3, 4
Let -w**2/2 - 37*w/2 + 19 = 0. What is w?
-38, 1
Let -2*y**2/9 + 4*y - 64/9 = 0. Calculate y.
2, 16
Factor 3*t**2 - 90*t - 192.
3*(t - 32)*(t + 2)
Solve s**3