10*i + 5376 = 0.
-2/7, 896
Factor -5*t**2 - 225*t + 230.
-5*(t - 1)*(t + 46)
Factor v**3 + 174*v**2 + 7740*v + 14792.
(v + 2)*(v + 86)**2
Find a, given that 2*a**2/5 + 8*a + 38/5 = 0.
-19, -1
Determine l, given that -6*l**2/5 + 54*l + 1176/5 = 0.
-4, 49
Factor -2*r**3 + 188*r**2 - 186*r.
-2*r*(r - 93)*(r - 1)
What is l in 2*l**2 - 106*l - 456 = 0?
-4, 57
Let 4*s**4/3 + 31*s**3/3 + 23*s**2/3 - 31*s/3 - 9 = 0. What is s?
-27/4, -1, 1
Find i, given that 196*i**5 + 168*i**4 - 724*i**3 - 328*i**2 + 528*i + 160 = 0.
-2, -1, -2/7, 1, 10/7
Let x**3 - 5*x**2/2 + 2*x - 1/2 = 0. What is x?
1/2, 1
Factor -5*s**3/2 - 2690*s**2 - 723610*s.
-5*s*(s + 538)**2/2
Factor -9*o**4/5 + 12*o**3/5 + 12*o**2/5.
-3*o**2*(o - 2)*(3*o + 2)/5
Find l, given that -l**2/4 - 25*l/2 - 141/4 = 0.
-47, -3
Factor o**4/6 - 259*o**3/3 + 258*o**2 - 773*o/3 + 515/6.
(o - 515)*(o - 1)**3/6
Suppose 5*w**3 - 210*w**2 + 2400*w - 4000 = 0. Calculate w.
2, 20
Find o, given that 2*o**3/15 - 34*o**2/5 = 0.
0, 51
Determine j, given that -98*j**4/11 - 25816*j**3/11 - 1692776*j**2/11 + 88512*j - 12672 = 0.
-132, 2/7
Solve -v**3/5 + v/5 = 0.
-1, 0, 1
Factor -o**4/6 + 5*o**3/6 - o**2.
-o**2*(o - 3)*(o - 2)/6
Determine t, given that t**4 + 34*t**3 - t**2 - 34*t = 0.
-34, -1, 0, 1
What is w in w**4/3 + 61*w**3 + 2821*w**2 + 8281*w/3 = 0?
-91, -1, 0
Determine s so that -70*s**5/3 + 332*s**4/3 - 106*s**3/3 - 460*s**2/3 + 176*s/3 + 128/3 = 0.
-1, -2/5, 1, 8/7, 4
Factor d**3/2 + 20*d**2 + 74*d + 72.
(d + 2)**2*(d + 36)/2
Factor 5*m**4 - 55*m**3 - 195*m**2 - 205*m - 70.
5*(m - 14)*(m + 1)**3
Let 10*n**4 + 1424*n**3 - 2302*n**2 + 292*n + 576 = 0. What is n?
-144, -2/5, 1
Factor 14*h**3 - 178*h**2 + 116*h + 48.
2*(h - 12)*(h - 1)*(7*h + 2)
Factor b**5 + 55*b**4 + 54*b**3.
b**3*(b + 1)*(b + 54)
Suppose -4*z**3 + 1860*z**2 - 288300*z + 14895500 = 0. Calculate z.
155
Let 3*m**3/7 + 288*m**2/7 + 8640*m/7 + 82944/7 = 0. Calculate m.
-48, -24
Determine z so that 2*z**4/17 + 10*z**3/17 + 8*z**2/17 = 0.
-4, -1, 0
Factor -7*z**2 + 218*z - 31.
-(z - 31)*(7*z - 1)
Factor 5*a**3/2 + 175*a**2/2 - 1500*a - 56250.
5*(a - 25)*(a + 30)**2/2
Factor -2*y**5/5 - 22*y**4/5 - 38*y**3/5 - 18*y**2/5.
-2*y**2*(y + 1)**2*(y + 9)/5
Factor 9*s**2/8 - 129*s/4 - 4551/8.
3*(s - 41)*(3*s + 37)/8
Find v such that v**3/2 - 9*v**2 + 81*v/2 = 0.
0, 9
Find w, given that -w**3/3 - 4*w**2/3 - w = 0.
-3, -1, 0
Find a, given that 3*a**5 - 153*a**4 - 486*a**3 = 0.
-3, 0, 54
Factor 185*c**5 + 10*c**4.
5*c**4*(37*c + 2)
What is t in t**2/4 - 440*t + 193600 = 0?
880
What is v in -2*v**4/15 + 2*v**2/15 = 0?
-1, 0, 1
Factor 12*h**3 - 328*h**2 - 692*h - 352.
4*(h + 1)**2*(3*h - 88)
Factor -4*z**4 + 4*z**3 + 24*z**2.
-4*z**2*(z - 3)*(z + 2)
Factor -3*x**2 - 177*x - 2214.
-3*(x + 18)*(x + 41)
Suppose -4*z**2/3 - 1112*z/3 + 372 = 0. Calculate z.
-279, 1
Factor -d**3 + 212*d**2 + 427*d + 214.
-(d - 214)*(d + 1)**2
Suppose 2*u**4/13 - 6*u**3/13 + 2*u**2/13 + 6*u/13 - 4/13 = 0. Calculate u.
-1, 1, 2
Factor 2*n**2/15 + 536*n/15 - 538/15.
2*(n - 1)*(n + 269)/15
Suppose -3*l**3/5 + 36*l**2/5 - 81*l/5 - 24 = 0. Calculate l.
-1, 5, 8
Factor 2*f**2 + 504*f + 31752.
2*(f + 126)**2
Suppose j**4/2 + 95*j**3 + 8829*j**2/2 - 9504*j - 13824 = 0. What is j?
-96, -1, 3
Factor -4*l**3 - 1236*l**2.
-4*l**2*(l + 309)
Find f such that -16*f**5 - 348*f**4 + 1288*f**3 - 300*f**2 = 0.
-25, 0, 1/4, 3
Let -2*f**4/13 + 36*f**3/13 - 184*f**2/13 + 348*f/13 - 198/13 = 0. What is f?
1, 3, 11
Determine v so that 5*v**2 - 105*v - 980 = 0.
-7, 28
Suppose -66*n**3/17 + 574*n**2/17 + 196*n/17 - 144/17 = 0. Calculate n.
-2/3, 4/11, 9
Solve -2*c**3/15 - 32*c**2/15 - 10*c/3 + 28/5 = 0 for c.
-14, -3, 1
Let 2*r**2 - 108*r + 106 = 0. What is r?
1, 53
Determine v, given that -3*v**4 - 12*v**3 + 81*v**2 - 114*v + 48 = 0.
-8, 1, 2
Solve 35*l**3/6 - 80*l**2 + 525*l/2 + 245/3 = 0.
-2/7, 7
Factor 2*g**2 - 1676*g - 3360.
2*(g - 840)*(g + 2)
Let -15*b**3/2 - 6*b**2 + 57*b/2 + 27 = 0. What is b?
-9/5, -1, 2
Suppose -268203*h**2/5 + 5382*h/5 - 27/5 = 0. What is h?
3/299
Find s such that 2*s**4/3 - 110*s**3/3 - 236*s**2 - 1448*s/3 - 976/3 = 0.
-2, 61
Solve -10*f**5 - 32*f**4 + 84*f**3 + 288*f**2 + 54*f = 0 for f.
-3, -1/5, 0, 3
Factor 2*r**2/19 + 5024*r/19 + 3155072/19.
2*(r + 1256)**2/19
Determine t, given that 5*t**3/3 + 320*t**2 + 15035*t - 94090/3 = 0.
-97, 2
Suppose 5*s**2 + 125*s + 120 = 0. What is s?
-24, -1
Factor 5*d**3 + 30*d**2 + 25*d - 60.
5*(d - 1)*(d + 3)*(d + 4)
Suppose 29791*a**4/3 + 150877*a**3/3 + 95046*a**2 + 79380*a + 24696 = 0. What is a?
-42/31, -1
Find g, given that -5*g**5 + 110*g**4 - 385*g**3 + 460*g**2 - 180*g = 0.
0, 1, 2, 18
Suppose b**3 + 46*b**2 - 660*b + 2088 = 0. Calculate b.
-58, 6
Factor -4*z**2 + 336*z - 3692.
-4*(z - 71)*(z - 13)
Factor 5*t**4 - 380*t**3 + 3105*t**2 - 6030*t.
5*t*(t - 67)*(t - 6)*(t - 3)
Factor w**5/4 + w**4/4 - 5*w**3/4 - w**2/4 + 2*w - 1.
(w - 1)**3*(w + 2)**2/4
Factor -2*k**3/5 - 20*k**2 + 106*k/5 + 204/5.
-2*(k - 2)*(k + 1)*(k + 51)/5
Suppose -2*q**2 - 152*q - 2888 = 0. Calculate q.
-38
What is o in -12*o**5 + 45*o**4 - 60*o**3 + 30*o**2 - 3 = 0?
-1/4, 1
Determine m, given that 2*m**4 - 8*m**3 - 6*m**2 + 20*m + 16 = 0.
-1, 2, 4
Suppose -v**2/5 + 551*v/5 - 110 = 0. Calculate v.
1, 550
Factor -2*g**2/7 + 494*g/7 - 1464/7.
-2*(g - 244)*(g - 3)/7
Factor -k**3 + 16*k**2 - 71*k + 56.
-(k - 8)*(k - 7)*(k - 1)
Determine f, given that -2*f**4/3 - 2434*f**3/3 + 2438*f**2/3 + 2434*f/3 - 812 = 0.
-1218, -1, 1
Factor -38*l**5/3 - 110*l**4/3 - 34*l**3 - 26*l**2/3 + 4*l/3.
-2*l*(l + 1)**3*(19*l - 2)/3
Determine v so that -v**4 - 45*v**3 - 349*v**2 + 45*v + 350 = 0.
-35, -10, -1, 1
Suppose -6*d**5/5 + 6*d**4/5 + 6*d**3/5 - 6*d**2/5 = 0. What is d?
-1, 0, 1
Factor 2*u**4 + 80*u**3 + 1200*u**2 + 8000*u + 20000.
2*(u + 10)**4
Let -4*q**5/9 + 94*q**4/9 - 98*q**3/3 - 3124*q**2/9 - 3080*q/9 + 784/3 = 0. Calculate q.
-3, -2, 1/2, 14
What is z in -5*z**2 + 5220*z = 0?
0, 1044
Find u such that 3*u**5/4 + 57*u**4/4 + 417*u**3/4 + 1443*u**2/4 + 570*u + 300 = 0.
-5, -4, -1
Factor 17*q**3/3 + 341*q**2/3 - 337*q/3 - 7.
(q - 1)*(q + 21)*(17*q + 1)/3
Factor -q**3/3 + 44*q**2 - 87*q + 130/3.
-(q - 130)*(q - 1)**2/3
Factor -y**2/5 + 16*y/5 + 340.
-(y - 50)*(y + 34)/5
What is g in 2*g**2/5 + 8*g + 128/5 = 0?
-16, -4
Factor 2*x**4 + 32*x**3 + 154*x**2 + 196*x.
2*x*(x + 2)*(x + 7)**2
Determine s, given that 3*s**2 - 1194*s/5 - 96 = 0.
-2/5, 80
Find c, given that 8*c**4 - 148*c**3/5 + 108*c**2/5 = 0.
0, 1, 27/10
Let -y**2/3 - 2*y/3 = 0. What is y?
-2, 0
Suppose -2*p**4/5 + 14*p**3/5 + 62*p**2/5 - 14*p/5 - 12 = 0. Calculate p.
-3, -1, 1, 10
Find p such that -3*p**2/4 + 147*p - 7203 = 0.
98
Let -4*b**5/9 + 8*b**4/3 - 20*b**3/9 - 32*b**2/3 + 16*b = 0. What is b?
-2, 0, 2, 3
Solve 3*j**2 + 1284*j - 6495 = 0 for j.
-433, 5
Solve 2*q**3/3 + 18*q**2 = 0.
-27, 0
Factor -4*f**2 - 624*f - 24336.
-4*(f + 78)**2
Factor -5*q**2 + 160*q + 165.
-5*(q - 33)*(q + 1)
Determine a so that a**3 - 406*a**2 + 41612*a - 81608 = 0.
2, 202
Factor 3*s**4 + 30*s**3 - 9*s**2 - 96*s - 60.
3*(s - 2)*(s + 1)**2*(s + 10)
Factor -3*s**2/4 + 517*s/4 + 173/2.
-(s - 173)*(3*s + 2)/4
Factor 3*i**2 - 294*i - 600.
3*(i - 100)*(i + 2)
Factor 270*j**3/11 + 282*j**2/11 + 12*j/11.
6*j*(j + 1)*(45*j + 2)/11
Determine r so that -30*r**2 - 25*r = 0.
-5/6, 0
Factor d**3/6 + 37*d**2/6 + 68*d/3 + 22.
(d + 2)**2*(d + 33)/6
Suppose 5*n**3 + 87*n**2 + 34*n = 0. What is n?
-17, -2/5, 0
Solve 2*o**3/9 - 10*o**2/9 - 2*o/9 + 10/9 = 0 for o.
-1, 1, 5
What is r in 4*r**2/7 - 22*r/7 - 12/7 = 0?
-1/2, 6
Solve 3*b**4 - 288*b**3 - 585*b**2 - 294*b = 0 for b.
-1, 0, 98
Factor 2*a**2/13 + 2708*a/13 + 916658/13.
2*(a + 677)**2/13
Suppose -12*z**5 - 636*z**4 - 7623*z**3 + 17034*z**2 - 10995*z + 2232 = 0. What is z?
-31, -24, 1/2, 1
Determine a, given that 4*a**2/7 - 36/7 = 0.
-3, 3
Factor 2468041*w**3/2 - 2474325*w**2/2 + 3144*w - 2.
(w - 1)*(1571*w - 2)**2/2
Let 9*h**4/5 + 147*h**3/5 + 294*h**2/5 - 12*h/5 - 168/5 = 0. Calculate h.
-14, -2, -1, 2/3
Factor -3*h**3 - 240*h**2 + 1533*h - 1290.
-3*(h - 5)*(h - 1)*(h + 86)
Suppose 3*a**4 + 264*a**3 + 8112*a**2 + 101376*a + 442368 = 0. Calculate a.
-32, -12
Factor -3*m**3 + 87*m**2 + 90*m.
-3*m*(m - 30)*(m + 1)
Solve -2*v**2 + 268*v - 8978 = 0 for v.
67
Let 7*z**5 + 2*z**4 - 9*z**3 = 0. What is z?
-9/7,