118*o + 76.
-2*(o - 19)*(o - 2)*(o - 1)
Solve -12*s**5 - 808*s**4 - 18320*s**3 - 157152*s**2 - 406016*s + 346112 = 0.
-26, -8, 2/3
Let 3*w**3 - 465*w**2/4 - 597*w/4 - 30 = 0. Calculate w.
-1, -1/4, 40
Determine m, given that -6*m**4 - 118*m**3 + 46*m**2 + 118*m - 40 = 0.
-20, -1, 1/3, 1
Find c such that 5*c**2 - 85*c - 6670 = 0.
-29, 46
Solve 260*m**2 + 245*m - 15 = 0 for m.
-1, 3/52
Find a, given that -10*a**3/3 - 22*a**2/3 + 4*a/3 + 16/3 = 0.
-2, -1, 4/5
Factor 2*w**2/5 - 568*w/5 + 40328/5.
2*(w - 142)**2/5
Find y such that y**3 + 17*y**2 + 14*y - 32 = 0.
-16, -2, 1
Factor -261*z**3/4 + 30*z**2 + 9*z.
-3*z*(3*z - 2)*(29*z + 6)/4
Factor -3*k**3 + 345*k**2 - 342*k.
-3*k*(k - 114)*(k - 1)
Factor -5*f**3 + 210*f**2 - 360*f - 1600.
-5*(f - 40)*(f - 4)*(f + 2)
Factor -5*v**2 - 125*v + 1320.
-5*(v - 8)*(v + 33)
Factor 3*o**3/2 + 555*o**2/2 + 10500*o - 225000.
3*(o - 15)*(o + 100)**2/2
Let 21*m**5 - 90*m**4 - 4932*m**3 + 11496*m**2 + 299520*m - 86400 = 0. Calculate m.
-10, 2/7, 12
Factor -4*f**3 + 72*f**2 - 68*f.
-4*f*(f - 17)*(f - 1)
Let -5*a**2 + 2570*a - 330245 = 0. What is a?
257
Factor 4*v**4 + 28*v**3 - 72*v**2.
4*v**2*(v - 2)*(v + 9)
Solve 3*p**4 - 174*p**3 - 9*p**2 + 516*p + 348 = 0.
-1, 2, 58
What is m in m**5/3 + 8*m**4/3 + 16*m**3/3 = 0?
-4, 0
Find r such that -5*r**3 + 100*r**2 + 105*r = 0.
-1, 0, 21
Solve -2*o**3/21 - 214*o**2/21 - 1872*o/7 + 1944/7 = 0 for o.
-54, 1
What is l in -l**3/2 - 10*l**2 + 253*l/2 - 116 = 0?
-29, 1, 8
Find i such that 3*i**3/2 + 4569*i**2 + 3474720*i - 6967728 = 0.
-1524, 2
Factor -14*d**5/9 - 12380*d**4/9 - 4106180*d**3/9 - 605628400*d**2/9 - 33568907710*d/9 - 9541773124/9.
-2*(d + 221)**4*(7*d + 2)/9
Find s such that -4*s**2 + 17272*s - 18645124 = 0.
2159
Find t, given that 2*t**5 - 3*t**4/2 - 13*t**3/2 + t**2/2 + 9*t/2 + 1 = 0.
-1, -1/4, 1, 2
Factor u**2/4 + 44*u - 177/4.
(u - 1)*(u + 177)/4
Let -2*r**4/5 + 86*r**3/5 - 82*r**2/5 - 86*r/5 + 84/5 = 0. Calculate r.
-1, 1, 42
Factor -g**4 + 128*g**3 - 375*g**2.
-g**2*(g - 125)*(g - 3)
Factor 2*z**2 + 700*z + 61250.
2*(z + 175)**2
Solve 3*w**3/7 - 66*w**2/7 + 225*w/7 - 162/7 = 0.
1, 3, 18
Let -p**2 + 51*p = 0. Calculate p.
0, 51
Factor -3*g**2 - 35*g.
-g*(3*g + 35)
Find k, given that k**3/3 + 6181*k**2/3 + 9548099*k/3 - 9554281/3 = 0.
-3091, 1
Suppose 15*m**4/4 - 215*m**3 + 945*m**2/2 + 485*m - 825/4 = 0. Calculate m.
-1, 1/3, 3, 55
Factor -s**3/2 + 17*s**2 + 74*s + 76.
-(s - 38)*(s + 2)**2/2
Factor 2*f**3/13 - 746*f**2/13 + 69936*f/13 - 69192/13.
2*(f - 186)**2*(f - 1)/13
Let z**2 + 17*z + 16 = 0. Calculate z.
-16, -1
Determine h, given that 85*h**4 - 10*h**3 - 85*h**2 + 10*h = 0.
-1, 0, 2/17, 1
Let 2*c**4/7 + 12*c**3/7 + 18*c**2/7 + 8*c/7 = 0. What is c?
-4, -1, 0
Let -198*d**2/13 - 8*d/13 + 8/13 = 0. Calculate d.
-2/9, 2/11
What is i in 2*i**3 = 0?
0
Factor 3042*c**3/5 - 2418*c**2/5 - 592*c/5 - 32/5.
2*(c - 1)*(39*c + 4)**2/5
Determine o, given that -35*o**3 - 4755*o**2 - 4045*o + 675 = 0.
-135, -1, 1/7
Let -2*m**4/15 - 6*m**3/5 - 56*m**2/15 - 24*m/5 - 32/15 = 0. Calculate m.
-4, -2, -1
Determine w so that -64*w**5 + 2992*w**4 - 33041*w**3 - 45265*w**2 - 9744*w - 576 = 0.
-1, -1/8, 24
Factor 4*u**3/3 - 776*u**2/3 + 36848*u/3 + 76832/3.
4*(u - 98)**2*(u + 2)/3
Factor -2*k**3/9 + 8*k**2/9 + 2*k/9 - 8/9.
-2*(k - 4)*(k - 1)*(k + 1)/9
Factor 2*j**2 + 6*j - 8.
2*(j - 1)*(j + 4)
Factor 4*h**2 - 960*h + 57600.
4*(h - 120)**2
Determine g so that g**4/2 + 6*g**3 - 91*g**2/2 - 51*g = 0.
-17, -1, 0, 6
Determine x so that 2*x**3 - 30*x**2 + 54*x + 486 = 0.
-3, 9
Let 5*v**4 - 15*v**3 - 20*v**2 = 0. What is v?
-1, 0, 4
Factor 4*d**2 + 596*d + 10752.
4*(d + 21)*(d + 128)
Find r, given that -48*r**5 + 4824*r**4 - 20979*r**3 + 23412*r**2 - 8073*r + 864 = 0.
1/4, 1, 3, 96
What is k in 2*k**3/5 - 34*k**2/5 - 8*k/5 + 136/5 = 0?
-2, 2, 17
Find q, given that -q**4 + 5*q**2 - 4 = 0.
-2, -1, 1, 2
Suppose -4*t**3/9 + 28*t**2/9 - 56*t/9 + 32/9 = 0. Calculate t.
1, 2, 4
Factor 2*j**3 - 36*j**2 - 78*j - 40.
2*(j - 20)*(j + 1)**2
Let 2*i**5/5 - 44*i**4/5 + 208*i**3/5 + 44*i**2/5 - 42*i = 0. Calculate i.
-1, 0, 1, 7, 15
Determine w, given that -8*w**5/7 + 170*w**4/7 - 834*w**3/7 - 110*w**2 + 242*w/7 = 0.
-1, 0, 1/4, 11
Let -5*h**2/3 - 95*h/3 - 30 = 0. Calculate h.
-18, -1
Determine j, given that 12*j**5/5 + 1059*j**4/5 + 23496*j**3/5 + 5808*j**2/5 = 0.
-44, -1/4, 0
Factor q**3 + 1184*q**2 - 1185*q.
q*(q - 1)*(q + 1185)
Suppose -2*g**2/7 + 2888*g/7 - 1042568/7 = 0. What is g?
722
Factor 2*j**3/7 + 2*j**2 + 4*j + 16/7.
2*(j + 1)*(j + 2)*(j + 4)/7
Suppose -7*w**3 - 38*w**2/3 + 29*w/3 + 10 = 0. Calculate w.
-15/7, -2/3, 1
Suppose 4*o**3 - 48*o**2 + 36*o + 88 = 0. Calculate o.
-1, 2, 11
Find t, given that 5*t**2 + 1350*t + 91125 = 0.
-135
Suppose -35*x**2 + 20*x + 15 = 0. Calculate x.
-3/7, 1
Suppose -2*r**5/7 + 4*r**4/7 + 16*r**3/7 = 0. What is r?
-2, 0, 4
Let -12*l**5 + 10*l**4 + 2*l**3 = 0. What is l?
-1/6, 0, 1
What is z in z**4 + 23*z**3/5 - 3*z**2 - 23*z/5 + 2 = 0?
-5, -1, 2/5, 1
Find r, given that 3*r**2 - 153*r - 840 = 0.
-5, 56
Suppose -2*z**2/17 - 772*z/17 - 74498/17 = 0. What is z?
-193
Let 2*q**2/5 - 168*q/5 + 486/5 = 0. What is q?
3, 81
What is w in 2*w**3/7 - 4*w**2/7 - 30*w/7 = 0?
-3, 0, 5
Factor -1400*y**3 - 1520*y**2 + 346*y - 18.
-2*(7*y + 9)*(10*y - 1)**2
Factor 12*o**3 - 104*o**2 + 180*o + 72.
4*(o - 6)*(o - 3)*(3*o + 1)
What is v in 2*v**3/9 + 8*v**2/3 - 98*v/9 - 40/3 = 0?
-15, -1, 4
Solve -3*o**4 - 1623*o**3 - 291591*o**2 - 17199525*o + 35578446 = 0 for o.
-181, 2
Solve -2*o**2 + 1138*o + 1140 = 0 for o.
-1, 570
Let -3*t**5 + 105*t**4 + 3*t**3 - 105*t**2 = 0. What is t?
-1, 0, 1, 35
Factor x**5 - 5*x**4 - 18*x**3 + 20*x**2 + 56*x.
x*(x - 7)*(x - 2)*(x + 2)**2
Solve -j**3/3 - 80*j**2/3 - 1600*j/3 = 0.
-40, 0
Find t, given that -25*t**4/9 - 1505*t**3 + 29881*t**2/9 - 7069*t/3 + 544 = 0.
-544, 3/5, 1
Suppose b**2 - 27*b + 182 = 0. What is b?
13, 14
Suppose 2*s**2 - 20*s - 598 = 0. Calculate s.
-13, 23
Factor 2*q**4 - 174*q**3 - 354*q**2 - 178*q.
2*q*(q - 89)*(q + 1)**2
Factor -8*i**2 + 52*i - 24.
-4*(i - 6)*(2*i - 1)
Determine o, given that -3*o**2/2 + 4032*o - 2709504 = 0.
1344
Find j, given that -3*j**4/8 + 45*j**3/8 - 9*j**2/2 - 21*j/2 = 0.
-1, 0, 2, 14
Find g such that 55*g**2 - 145*g + 90 = 0.
1, 18/11
Let 4*n**5 - 40*n**3 + 36*n = 0. What is n?
-3, -1, 0, 1, 3
Factor 2*a**3/5 - 1938*a**2/5 + 625974*a/5 - 67396534/5.
2*(a - 323)**3/5
Suppose -2*m**4/5 - 48*m**3 - 1920*m**2 - 25600*m = 0. Calculate m.
-40, 0
Determine r so that -15*r**4 + 65*r**3 - 80*r**2 + 20*r = 0.
0, 1/3, 2
Factor -r**3/4 - 137*r**2/4 - 34*r.
-r*(r + 1)*(r + 136)/4
Factor -k**2/3 - 11*k.
-k*(k + 33)/3
Solve 3*j**5 + 69*j**4 - 489*j**3 + 939*j**2 - 522*j = 0.
-29, 0, 1, 2, 3
Factor 4*a**2 - 4*a - 120.
4*(a - 6)*(a + 5)
Factor -5*u**4 - 2660*u**3 - 356430*u**2 - 704900*u - 351125.
-5*(u + 1)**2*(u + 265)**2
Factor -2*f**3/7 + 52*f**2/7 - 198*f/7 - 36.
-2*(f - 21)*(f - 6)*(f + 1)/7
Factor 4*u**4/7 + 20*u**3/7 + 12*u**2/7 - 36*u/7.
4*u*(u - 1)*(u + 3)**2/7
Let -35*f**3/2 - 61*f**2/10 + 3*f/5 = 0. Calculate f.
-3/7, 0, 2/25
Let -t**2 - 83*t - 240 = 0. What is t?
-80, -3
What is k in -k**4/4 - 233*k**3/4 - 13917*k**2/4 - 40135*k/4 - 13225/2 = 0?
-115, -2, -1
Determine m so that 5*m**2 - 120*m - 260 = 0.
-2, 26
Factor -f**3/3 - 44*f**2/3 + 4*f/3 + 176/3.
-(f - 2)*(f + 2)*(f + 44)/3
Suppose 9*m**5/5 - 12*m**4/5 - 12*m**3 + 6*m**2 + 51*m/5 - 18/5 = 0. Calculate m.
-2, -1, 1/3, 1, 3
Solve 2*b**3/3 - 286*b**2/3 + 10366*b/3 - 10082/3 = 0.
1, 71
Factor -2*r**2/5 - 192*r/5 - 4608/5.
-2*(r + 48)**2/5
Find s such that -5*s**3 - 2065*s**2 - 214240*s - 212180 = 0.
-206, -1
Factor 3*x**4 - 24*x**3.
3*x**3*(x - 8)
Factor -t**2 - 198*t + 199.
-(t - 1)*(t + 199)
Solve 4*r**2 - 8*r - 32 = 0.
-2, 4
Factor -5*j**3 + 5*j**2 + 20*j - 20.
-5*(j - 2)*(j - 1)*(j + 2)
Factor -y**2/9 - y/3.
-y*(y + 3)/9
Solve -2*j**5/11 + 26*j**4/11 - 86*j**3/11 + 38*j**2/11 + 8*j - 64/11 = 0.
-1, 1, 4, 8
Factor 2*u**3/3 - 2596*u**2/3 + 839800*u/3 + 1690000/3.
2*(u - 650)**2*(u + 2)/3
Let 5*r**5 + 65*r**4 + 235*r**3 + 115*r**2 - 240*r - 180 = 0. What is r?
-6, -1, 1
Let -8*v**5 + 28*v**4 - 4*v**3 - 28*v**2 + 12*v = 0. What is v?
-1, 0, 1/2, 1, 3
Determine r so that -2*r**3/7 + 2*r**2/7 = 0.
0, 1
Determine c so that -c**2/3 + 104*c/3 - 940/3 = 0