 - 302*q/7 - 68/7.
2*(q - 17)*(q + 2)*(4*q + 1)/7
Let m**4/12 + 4*m**3/3 + 77*m**2/12 + 67*m/6 + 6 = 0. What is m?
-9, -4, -2, -1
Let 10*m**5 + 5*m**4 - 235*m**3 + 145*m**2 + 885*m - 450 = 0. What is m?
-5, -2, 1/2, 3
Suppose -6*a**3 - 172*a**2 - 1264*a - 768 = 0. Calculate a.
-16, -12, -2/3
Determine k so that 3*k**5 - 69*k**4 + 180*k**3 + 2604*k**2 + 2352*k = 0.
-4, -1, 0, 14
Suppose 4*m**5/5 + 124*m**4 + 365*m**3 + 28*m**2 - 364*m + 608/5 = 0. Calculate m.
-152, -2, 1/2
Factor -4*n**3 - 44*n**2.
-4*n**2*(n + 11)
Solve 2*t**4/11 - 1616*t**3/11 + 434160*t**2/11 - 3499200*t - 78732000/11 = 0 for t.
-2, 270
Factor 2*j**3 - 126*j**2 + 238*j + 366.
2*(j - 61)*(j - 3)*(j + 1)
Let 5*m**2 - 210*m - 440 = 0. What is m?
-2, 44
Factor 4*f**2 + 364*f + 360.
4*(f + 1)*(f + 90)
Suppose -2*x**3 + 2*x**2 + 8*x - 8 = 0. What is x?
-2, 1, 2
Let 2*m**3/11 + 40*m**2/11 + 200*m/11 = 0. What is m?
-10, 0
Suppose n**4 + 41*n**3 + 352*n**2 - 1452*n = 0. Calculate n.
-22, 0, 3
Let 5*v**5 - 20*v**4 - 140*v**3 + 590*v**2 + 375*v - 2250 = 0. What is v?
-5, -2, 3, 5
Factor -n**3 + 99*n**2 - 98*n.
-n*(n - 98)*(n - 1)
Let 45*u**2 + 1389*u - 186 = 0. Calculate u.
-31, 2/15
Factor g**4/3 - 5*g**3/3 - 13*g**2/3 - 7*g/3.
g*(g - 7)*(g + 1)**2/3
Let -4*l**2 - 8000*l - 4000000 = 0. What is l?
-1000
Determine k, given that -k**2/5 - 11*k/5 = 0.
-11, 0
Solve -22*l**3/3 - 194*l**2/3 + 256*l/3 - 40/3 = 0.
-10, 2/11, 1
Determine t so that 2*t**4 + 32*t**3 + 84*t**2 + 80*t + 26 = 0.
-13, -1
Factor -2*l**2 - 556*l + 3990.
-2*(l - 7)*(l + 285)
Determine i so that -i**4 - 566*i**3 - 77793*i**2 + 649768*i - 1317904 = 0.
-287, 4
Factor -2*o**2/15 + 404*o/15 + 406/15.
-2*(o - 203)*(o + 1)/15
Find n, given that -n**2/3 - 125*n/3 + 42 = 0.
-126, 1
Factor -3*j**2/2 - 1131*j/2 + 1137.
-3*(j - 2)*(j + 379)/2
Factor -3*l**5 - 837*l**4 - 57114*l**3 + 176394*l**2 - 178083*l + 59643.
-3*(l - 1)**3*(l + 141)**2
Factor 2*m**2 - 18*m + 16.
2*(m - 8)*(m - 1)
Find p such that -p**2/2 + 75*p/4 + 19/2 = 0.
-1/2, 38
Factor 243*v**3 - 6669*v**2 + 54120*v - 108900.
3*(v - 3)*(9*v - 110)**2
Let 2*o**5/9 + 28*o**4/9 + 26*o**3/9 - 32*o**2 - 24*o + 96 = 0. What is o?
-12, -3, 2
Factor 15*o**4 - 25*o**3 - 5*o**2 + 25*o - 10.
5*(o - 1)**2*(o + 1)*(3*o - 2)
Determine n, given that -n**4 + 11*n**2/4 - 9*n/4 + 1/2 = 0.
-2, 1/2, 1
Factor c**4 + 32*c**3.
c**3*(c + 32)
Find j, given that -2*j**2/5 - 54*j/5 + 56/5 = 0.
-28, 1
Determine f so that 10*f**4/11 + 6*f**3/11 - 24*f**2/11 + 8*f/11 = 0.
-2, 0, 2/5, 1
Factor -4*o**3 + 8*o**2 - 4*o.
-4*o*(o - 1)**2
Factor 2*s**4 + 80*s**3 + 1008*s**2 + 3136*s - 10976.
2*(s - 2)*(s + 14)**3
Find a, given that -2*a**2 + 16988*a - 36074018 = 0.
4247
Solve 5*o**3 + 130*o**2 + 460*o + 440 = 0 for o.
-22, -2
Factor 48*x**3 + 146*x**2 - 186*x - 8.
2*(x - 1)*(x + 4)*(24*x + 1)
Factor -2*k**3/9 + 4*k**2/3 - 10*k/9 - 8/3.
-2*(k - 4)*(k - 3)*(k + 1)/9
Find h, given that -2*h**3 + 30*h**2 - 124*h + 96 = 0.
1, 6, 8
Factor 5*m**4 - 1700*m**3 + 146190*m**2 - 287300*m + 142805.
5*(m - 169)**2*(m - 1)**2
Solve m**5/2 + 19*m**4/2 + 47*m**3/2 - 19*m**2/2 - 24*m = 0 for m.
-16, -3, -1, 0, 1
Factor -3*w**4/5 - 18*w**3/5 - 39*w**2/5 - 36*w/5 - 12/5.
-3*(w + 1)**2*(w + 2)**2/5
Find w, given that 2*w**2/13 - 2*w + 60/13 = 0.
3, 10
Factor -o**2/2 + 133*o - 265/2.
-(o - 265)*(o - 1)/2
Determine a, given that -2*a**4/7 - 142*a**3/7 - 880*a**2/7 + 65824*a/7 = 0.
-44, 0, 17
Factor 5*j**2 - 50*j + 80.
5*(j - 8)*(j - 2)
Find b such that 21*b**4/5 + 18*b**3 + 144*b**2/5 + 102*b/5 + 27/5 = 0.
-9/7, -1
Let 4*m**2 - 45768*m + 130919364 = 0. What is m?
5721
Solve -4*c**3 - 564*c**2 - 552*c + 1120 = 0.
-140, -2, 1
Determine p so that 6*p**3/5 - 106*p**2/5 - 30*p - 38/5 = 0.
-1, -1/3, 19
Suppose -2*p**3 + 12*p**2 + 270*p + 800 = 0. What is p?
-5, 16
Factor -3*t**4 - 342*t**3 - 8667*t**2 + 61560*t - 97200.
-3*(t - 3)**2*(t + 60)**2
Factor 3*m**3 - 240*m**2 + 3375*m + 60750.
3*(m - 45)**2*(m + 10)
Find i such that -2*i**5/7 + 520*i**4/7 + 522*i**3/7 = 0.
-1, 0, 261
Find y, given that 2*y**4/15 - 308*y**3/15 + 304*y**2/15 + 308*y/15 - 102/5 = 0.
-1, 1, 153
Find v such that v**5/8 - 25*v**4/8 + 19*v**3/2 + 119*v**2/2 + 14*v - 80 = 0.
-2, 1, 8, 20
Factor -5*r**2 + 45*r - 40.
-5*(r - 8)*(r - 1)
Solve -4*g**4 - 68*g**3 - 276*g**2 + 68*g + 280 = 0.
-10, -7, -1, 1
Factor h**5 - h**4 - 27*h**3 - 27*h**2 + 54*h.
h*(h - 6)*(h - 1)*(h + 3)**2
Factor 2*k**2 - 232*k + 1320.
2*(k - 110)*(k - 6)
Suppose 162*p**4 - 1557*p**3/2 - 335*p**2/2 + 48*p + 10 = 0. What is p?
-2/9, 1/4, 5
Determine i so that -3*i**4/4 + 5793*i**3/4 - 931707*i**2 + 199384332*i + 200317488 = 0.
-1, 644
Determine u, given that -3*u**2 - 123*u + 690 = 0.
-46, 5
Determine w, given that 14*w**4/9 - 2*w**3 - 12*w**2 + 200*w/9 - 16/3 = 0.
-3, 2/7, 2
Factor 2*o**2/5 + 34*o/5 + 12.
2*(o + 2)*(o + 15)/5
Let -5*w**4 + 80*w**3 - 320*w**2 = 0. Calculate w.
0, 8
Factor -w**4/7 + 6*w**3/7 + 4*w**2/7 - 24*w/7.
-w*(w - 6)*(w - 2)*(w + 2)/7
Factor 5*k**4 - 15*k**2 - 10*k.
5*k*(k - 2)*(k + 1)**2
Factor 4*y**4 + 20*y**3 + 36*y**2 + 28*y + 8.
4*(y + 1)**3*(y + 2)
Factor -2*g**3/3 - 11*g**2 - 48*g - 64/3.
-(g + 8)**2*(2*g + 1)/3
Determine w so that -400*w**5 + 1960*w**4 - 2641*w**3 + 223*w**2 + 737*w + 121 = 0.
-1/4, 1, 11/5
Find l, given that -l**3/2 - l**2 + 4*l = 0.
-4, 0, 2
Suppose -l**3/2 + 9*l**2 + 50*l - 132 = 0. What is l?
-6, 2, 22
Solve -y**4 - 2*y**3 + 8*y**2 + 18*y + 9 = 0.
-3, -1, 3
Factor -x**2/2 + 8*x - 32.
-(x - 8)**2/2
Factor -4*c**5 + 8*c**4 + 12*c**3.
-4*c**3*(c - 3)*(c + 1)
Suppose -56*w**4 - 164*w**3 + 241*w**2/2 + 175*w/2 + 12 = 0. What is w?
-24/7, -1/4, 1
Factor 6*y**4 + 3*y**3.
3*y**3*(2*y + 1)
Factor -2*r**3 - 16*r**2 - 2*r + 84.
-2*(r - 2)*(r + 3)*(r + 7)
What is v in -53792*v**4 + 53136*v**3 + 654*v**2 + 2*v = 0?
-1/164, 0, 1
Factor -4*q**3 + 232*q**2 + 236*q.
-4*q*(q - 59)*(q + 1)
Factor -y**4/5 + y**3/5 + 2*y**2/5.
-y**2*(y - 2)*(y + 1)/5
Factor -2*d**3 - 8*d**2 + 160*d - 384.
-2*(d - 4)**2*(d + 12)
Factor q**4/2 + 5*q**3/2 + 7*q**2/2 + 3*q/2.
q*(q + 1)**2*(q + 3)/2
Suppose -3*x**3 + 10*x**2 + 9*x - 4 = 0. What is x?
-1, 1/3, 4
Determine j so that j**4/3 + 2*j**3/3 - 4*j**2/3 - 8*j/3 = 0.
-2, 0, 2
Determine v, given that -4*v**2/9 + 44*v/9 - 32/3 = 0.
3, 8
Determine g, given that -4*g**2 + 100*g + 1976 = 0.
-13, 38
Solve -4*g**2 + 288*g + 1540 = 0 for g.
-5, 77
Factor f**4/2 + 13*f**3/2 + 47*f**2/2 + 35*f/2.
f*(f + 1)*(f + 5)*(f + 7)/2
Factor 5*h**4 + 60*h**3 + 105*h**2 + 50*h.
5*h*(h + 1)**2*(h + 10)
Suppose -3*a**2 + 39*a - 36 = 0. What is a?
1, 12
Suppose -578*g**3 + 1462*g**2 + 784*g + 96 = 0. What is g?
-4/17, 3
Let 4*i**2 - 84*i + 152 = 0. Calculate i.
2, 19
Factor 2*o**4/7 - 72*o**3/7 - 78*o**2/7 + 148*o/7.
2*o*(o - 37)*(o - 1)*(o + 2)/7
What is n in -4*n**3 - 928*n**2/3 - 2108*n/3 - 200 = 0?
-75, -2, -1/3
What is h in -9*h**2/5 - 7077*h/5 + 4722/5 = 0?
-787, 2/3
Find o such that -o**5/4 - 4*o**4 - 21*o**3/4 + 187*o**2/2 - 55*o - 150 = 0.
-10, -1, 2, 3
Determine c so that -3*c**2 + 432*c - 15552 = 0.
72
Find m, given that 2*m**4/5 + 794*m**3/5 + 78402*m**2/5 - 80794*m/5 - 158404/5 = 0.
-199, -1, 2
Factor 4*h**4 + 44*h**3 + 152*h**2 + 208*h + 96.
4*(h + 1)*(h + 2)**2*(h + 6)
Factor -10*u**3/3 - 15*u**2 + 100*u + 160/3.
-5*(u - 4)*(u + 8)*(2*u + 1)/3
Solve 288*z**5/5 + 1416*z**4/5 - 136*z**3/5 - 78*z**2/5 + 2*z = 0 for z.
-5, -1/4, 0, 1/6
Determine w, given that -4*w**5 - 20*w**4 - 16*w**3 + 64*w**2 + 128*w + 64 = 0.
-2, -1, 2
Factor c**2/4 - 39*c/4 + 19/2.
(c - 38)*(c - 1)/4
What is u in 3*u**3 - 30*u**2 - 573*u - 540 = 0?
-9, -1, 20
Factor q**3 + 8692*q**2 + 18896405*q + 37758050.
(q + 2)*(q + 4345)**2
Find h such that -25*h**5 - 15*h**4 + 85*h**3 - 5*h**2 - 60*h + 20 = 0.
-2, -1, 2/5, 1
What is j in 5*j**3/6 - 10*j**2 + 45*j/2 + 100/3 = 0?
-1, 5, 8
Let -5*r**2 - 135*r + 1400 = 0. Calculate r.
-35, 8
Factor -4*y**2 + 580*y + 4256.
-4*(y - 152)*(y + 7)
Suppose 5*n**3 + 25*n**2 - 2365*n + 16335 = 0. Calculate n.
-27, 11
Find f such that 5*f**4 + 65*f**3 - 335*f**2 + 115*f + 510 = 0.
-17, -1, 2, 3
Let 2*f**4/5 + 6*f**3/5 - 4*f**2 = 0. What is f?
-5, 0, 2
Factor -59*v**4/5 - 2004*v**3/5 - 16983*v**2/5 + 578*v/5.
-v*(v + 17)**2*(59*v - 2)/5
Let 5*p**2 + 125*p + 120 = 0. What is p?
-24, -1
Factor 28*l**3 - 132*l**2 + 72*l + 32.
4*(l - 4)*(l - 1)*(7*l