- 2)*(j + 7)*(5*j - 2)
Suppose -4*l**2 - 5276*l + 5280 = 0. Calculate l.
-1320, 1
What is n in n**5/2 + 57*n**4/4 + 65*n**3/4 - 417*n**2/4 + 401*n/4 - 27 = 0?
-27, -4, 1/2, 1
Let 4*u**3/7 - 16*u**2 + 884*u/7 - 1352/7 = 0. What is u?
2, 13
Factor -5*d**4 + 5*d**3 + 10*d**2.
-5*d**2*(d - 2)*(d + 1)
Solve 2*v**4/13 + 4*v**3/13 - 178*v**2/13 - 180*v/13 = 0 for v.
-10, -1, 0, 9
Solve -2*x**4 + 200*x**3/3 + 346*x**2/3 + 140*x/3 = 0 for x.
-1, -2/3, 0, 35
Determine x so that 116*x**4 + 804*x**3 + 1684*x**2 + 924*x - 72 = 0.
-3, -1, 2/29
Solve -15*u**3 - 25*u**2 + 10*u = 0 for u.
-2, 0, 1/3
Suppose 5*y**3 - 400*y**2 + 1495*y + 1900 = 0. Calculate y.
-1, 5, 76
Factor -4*d**2 + 4744*d - 1406596.
-4*(d - 593)**2
Factor -y**3 - 11*y**2 + 116*y - 180.
-(y - 5)*(y - 2)*(y + 18)
Factor 125*n**4/2 + 3950*n**3 + 60810*n**2 - 50560*n + 10240.
5*(n + 32)**2*(5*n - 2)**2/2
Solve 2*a**2/3 + 4294*a/3 = 0 for a.
-2147, 0
Find g, given that -2*g**3/13 + 456*g**2/13 + 458*g/13 = 0.
-1, 0, 229
Factor 2*f**2/3 + 74*f/3 - 76/3.
2*(f - 1)*(f + 38)/3
Factor 3*s**5 + 9*s**4 - 12*s**2.
3*s**2*(s - 1)*(s + 2)**2
Solve 2*i**2 + 84*i + 432 = 0.
-36, -6
Factor -2*x**2 - 12*x + 14.
-2*(x - 1)*(x + 7)
Determine g so that 2*g**2/13 + 10*g/13 - 12/13 = 0.
-6, 1
Factor 2*o**5 + 2*o**4 - 8*o**3 - 8*o**2.
2*o**2*(o - 2)*(o + 1)*(o + 2)
Factor 5*j**2 + 415*j + 410.
5*(j + 1)*(j + 82)
Determine z, given that z**5/3 + 2*z**4 - 7*z**3/3 = 0.
-7, 0, 1
Factor 10*o**2 - 2688*o - 538.
2*(o - 269)*(5*o + 1)
Determine p so that 2*p**2/11 + 6*p = 0.
-33, 0
Factor y**3/3 - 1067*y**2/3 + 1064*y/3 + 2132/3.
(y - 1066)*(y - 2)*(y + 1)/3
Let l**3 - 5*l**2 + 2*l + 8 = 0. Calculate l.
-1, 2, 4
Solve -2*j**3/3 - 788*j**2/3 = 0.
-394, 0
Determine o so that -o**4 - 6*o**3 - 8*o**2 = 0.
-4, -2, 0
Find a, given that 2*a**5/7 + 6*a**4 + 206*a**3/7 + 414*a**2/7 + 368*a/7 + 120/7 = 0.
-15, -2, -1
Solve 2*l**4 + 124*l**3 + 200*l**2 - 2352*l + 2880 = 0.
-60, -6, 2
Factor u**3/2 + 1062*u**2 + 1125717*u/2 - 1129969.
(u - 2)*(u + 1063)**2/2
What is q in -4*q**4/3 + 88*q**3 - 1856*q**2/3 = 0?
0, 8, 58
Suppose -i**4/4 + 41*i**3/4 + 33*i**2 + i - 44 = 0. Calculate i.
-2, 1, 44
Factor f**4/6 + 9*f**3 + 51*f**2/2 - 2*f/3 - 34.
(f - 1)*(f + 2)**2*(f + 51)/6
Find m such that 3*m**3 + 2142*m**2 = 0.
-714, 0
Suppose -4*r**3/5 + 4*r**2 + 368*r/5 - 384/5 = 0. Calculate r.
-8, 1, 12
Factor 81*z**5 - 22437*z**4 + 1542510*z**3 + 1557498*z**2 + 520833*z + 57963.
3*(z - 139)**2*(3*z + 1)**3
Solve h**3/4 - 7*h**2/4 + h + 3 = 0.
-1, 2, 6
Factor -2*f**2/7 - 1676*f/7 - 351122/7.
-2*(f + 419)**2/7
Factor y**2/6 + 83*y/2.
y*(y + 249)/6
Factor -5*x**5 + 5*x**3.
-5*x**3*(x - 1)*(x + 1)
Let -c**2 + 12*c + 28 = 0. What is c?
-2, 14
Let 4*b**2/9 + 82*b/9 + 40/9 = 0. Calculate b.
-20, -1/2
Factor 5*u**4 + 35*u**3 - 440*u**2 + 700*u.
5*u*(u - 5)*(u - 2)*(u + 14)
Suppose -v**3 - 48*v**2 - 756*v - 3888 = 0. What is v?
-18, -12
Factor 12*z**3 - 20*z**2 - 136*z + 96.
4*(z - 4)*(z + 3)*(3*z - 2)
Factor -5*q**4 - 5*q**3 + 105*q**2 + 225*q.
-5*q*(q - 5)*(q + 3)**2
Factor -b**4/4 + 5*b**3/4 - 3*b**2/4 - 9*b/4.
-b*(b - 3)**2*(b + 1)/4
Factor -5*c**3 + 25*c**2 - 30*c.
-5*c*(c - 3)*(c - 2)
Determine k, given that -2*k**5/17 - 10*k**4/17 + 26*k**3/17 + 58*k**2/17 - 144*k/17 + 72/17 = 0.
-6, -3, 1, 2
Solve z**3/6 + 416*z**2/3 - 1673*z/2 + 1257 = 0.
-838, 3
Factor 4*w**3 + 2692*w**2 + 454272*w + 451584.
4*(w + 1)*(w + 336)**2
Factor -4*z**5 + 4*z**4.
-4*z**4*(z - 1)
Suppose 3*d**2/7 + 2367*d/7 - 7128/7 = 0. What is d?
-792, 3
Factor -o**2 - 13*o - 40.
-(o + 5)*(o + 8)
Let -2*c**5/5 - 4*c**4/5 + 212*c**3/5 - 872*c**2/5 + 1134*c/5 - 468/5 = 0. Calculate c.
-13, 1, 3, 6
Factor 9*q**3/4 - 129*q**2/4 + 159*q/4 - 39/4.
3*(q - 13)*(q - 1)*(3*q - 1)/4
Factor -22*w**3/3 + 40*w**2/3 + 8*w/3.
-2*w*(w - 2)*(11*w + 2)/3
Determine x so that 3*x**5 + 12*x**4 - 54*x**3 + 60*x**2 - 21*x = 0.
-7, 0, 1
Factor -4*i**3/5 - 184*i**2/5 + 196*i/5 + 376/5.
-4*(i - 2)*(i + 1)*(i + 47)/5
Determine t so that -2*t**5 - 12*t**4 + 12*t**3 + 56*t**2 - 90*t + 36 = 0.
-6, -3, 1
Solve -s**2/3 - 287*s/3 + 96 = 0 for s.
-288, 1
Factor -m**4/9 + 10*m**3/3 - 100*m**2/3 + 1000*m/9.
-m*(m - 10)**3/9
Factor 5*m**2 + 500*m + 12500.
5*(m + 50)**2
Suppose -100*d**3 - 855*d**2 + 1420*d - 300 = 0. Calculate d.
-10, 1/4, 6/5
Suppose -i**3/3 - 4*i**2/3 + 7*i/3 + 10/3 = 0. Calculate i.
-5, -1, 2
Factor -3*x**2/7 - 324*x/7 - 4860/7.
-3*(x + 18)*(x + 90)/7
Determine z, given that z**3/3 + 11*z**2 - 520*z/3 + 300 = 0.
-45, 2, 10
Solve -15*n**4/4 + 51*n**3/4 + 117*n**2/4 - 459*n/4 + 81/2 = 0.
-3, 2/5, 3
Solve -2*n**4/11 - 148*n**3/11 - 2874*n**2/11 - 432*n + 7776/11 = 0 for n.
-36, -3, 1
Find x, given that -2*x**5 + 16*x**3 + 12*x**2 - 14*x - 12 = 0.
-2, -1, 1, 3
Solve -4*g**2 - 7836*g + 7840 = 0.
-1960, 1
Find r, given that -4*r**4 + 52*r**3 - 44*r**2 - 52*r + 48 = 0.
-1, 1, 12
Factor -2*t**4/3 - 1990*t**3/3 - 219784*t**2 - 72527392*t/3 + 73188736/3.
-2*(t - 1)*(t + 332)**3/3
Factor -2*t**3/7 + 1140*t**2/7 + 2286*t/7 + 1144/7.
-2*(t - 572)*(t + 1)**2/7
Determine l, given that -5*l**3 + 30*l**2 = 0.
0, 6
Solve -y**5/6 + y**4/6 + 11*y**3/6 + 7*y**2/6 - 5*y/3 - 4/3 = 0.
-2, -1, 1, 4
Find y such that -45*y**5 - 51*y**4 + 37*y**3 + 55*y**2 + 8*y - 4 = 0.
-1, -2/3, 1/5, 1
Factor -o**2 - 36*o.
-o*(o + 36)
Factor 50*d**5/3 + 280*d**4/3 - 118*d**3/3 + 4*d**2.
2*d**2*(d + 6)*(5*d - 1)**2/3
Let -3*v**3 - 1152*v**2 + 4644*v - 4656 = 0. What is v?
-388, 2
Factor -x**4/2 - 3*x**3/2 - x**2/2 + 3*x/2 + 1.
-(x - 1)*(x + 1)**2*(x + 2)/2
Determine k, given that -2*k**5/9 - 8*k**4/3 - 10*k**3 - 100*k**2/9 + 8*k + 16 = 0.
-6, -3, -2, 1
Let 12*p**4 - 268*p**3 + 952*p**2 - 288*p = 0. What is p?
0, 1/3, 4, 18
What is c in 2*c**4 + 20*c**3/3 - 46*c**2/3 + 20*c/3 = 0?
-5, 0, 2/3, 1
Let o**5/4 + o**4 - 3*o**3 - 17*o**2/2 + 11*o/4 + 15/2 = 0. What is o?
-5, -2, -1, 1, 3
Determine t so that 3*t**4/7 - 81*t**3/7 + 153*t**2/7 - 75*t/7 = 0.
0, 1, 25
Suppose -4*y**4 - 80*y**3 - 308*y**2 - 88*y + 480 = 0. Calculate y.
-15, -4, -2, 1
Let 2*l**5/9 - 74*l**4/9 - 2*l**3 + 658*l**2/9 + 320*l/9 - 296/3 = 0. What is l?
-2, 1, 3, 37
Solve 2*r**4/5 + 108*r**3/5 + 1728*r**2/5 + 6912*r/5 = 0.
-24, -6, 0
Factor 2*i**4/7 + 6*i**3/7 - 64*i**2/7 + 120*i/7 - 64/7.
2*(i - 2)**2*(i - 1)*(i + 8)/7
Find w such that -4*w**4 - 16*w**3 - 16*w**2 = 0.
-2, 0
What is d in -9350*d**5 - 26280*d**4 - 26086*d**3 - 10748*d**2 - 1608*d - 16 = 0?
-1, -2/5, -2/187
Find w, given that -w**4 - 22*w**3 - 60*w**2 + 216*w = 0.
-18, -6, 0, 2
Factor 2*f**4/3 - 8*f**3/3 - 2*f**2/3 + 8*f/3.
2*f*(f - 4)*(f - 1)*(f + 1)/3
Let -12*f**3/5 + 4*f**2/5 = 0. Calculate f.
0, 1/3
Solve 2*p**5/23 + 24*p**4/23 + 76*p**3/23 + 24*p**2/23 - 126*p/23 = 0 for p.
-7, -3, 0, 1
Suppose -8*m**5 + 8*m**4 + 46*m**3 - 28*m**2 - 56*m - 16 = 0. Calculate m.
-2, -1/2, 2
Factor -3*r**3/5 - 9*r**2 - 168*r/5.
-3*r*(r + 7)*(r + 8)/5
Find u, given that -u**2/4 - 57*u/4 + 29/2 = 0.
-58, 1
Factor -m**2 - 1413*m - 1412.
-(m + 1)*(m + 1412)
Determine q so that 2*q**2 + 664*q + 1320 = 0.
-330, -2
Suppose -2*d**5/3 - 94*d**4/3 + 1090*d**3/3 - 950*d**2 = 0. What is d?
-57, 0, 5
Determine p, given that -4*p**4 - 20*p**3 + 8*p**2 + 96*p = 0.
-4, -3, 0, 2
Determine f so that -15*f**3 + 130*f**2 - 260*f + 120 = 0.
2/3, 2, 6
Suppose f**4/8 - 3*f**3/8 + f/2 = 0. What is f?
-1, 0, 2
Factor -2*j**3/7 + 26*j**2/7 + 8*j/7 - 104/7.
-2*(j - 13)*(j - 2)*(j + 2)/7
What is j in 17*j**3 - 157*j**2/3 + 38*j - 8/3 = 0?
4/51, 1, 2
Factor w**4/3 - w**3/3 - 7*w**2/3 + 13*w/3 - 2.
(w - 2)*(w - 1)**2*(w + 3)/3
Suppose 18*i**5/5 - 206*i**4/5 + 716*i**3/5 - 336*i**2/5 - 1984*i/5 + 1792/5 = 0. What is i?
-14/9, 1, 4
Suppose x**3 - 2*x**2 - 13*x - 10 = 0. Calculate x.
-2, -1, 5
Find c such that 162*c**5 + 1530*c**4 + 3086*c**3 - 2898*c**2 - 1680*c - 200 = 0.
-5, -2/9, 1
Suppose -3*c**4 + 185*c**3/4 + 315*c**2/4 + 135*c/4 + 17/4 = 0. Calculate c.
-1, -1/3, -1/4, 17
Factor 3*l**5 + 27*l**4 - 9*l**3 - 87*l**2 - 54*l.
3*l*(l - 2)*(l + 1)**2*(l + 9)
Determine k, given that 3*k**2 + 96*k + 768 = 0.
-16
Determine l so that l**2 + 1117*l = 0.
-1117, 0
Factor 2*y**2 + 316*y.
2*y*(y + 158)
Factor -2*d**3 + 30*d**2 - 1000.
-2*(d - 10)**2*(d + 5)
Factor 2*d**5 - 2*d**4 - 20*d**3 - 16*d**2.
2*d**2*(d - 4)*(d + 1)*(d + 2)
Factor -4*b**4 + 12*b**3 + 224*b**2 - 