- 16*n/7 = 0.
-4, -1, 0, 1, 2
Factor -z**4 - 188*z**3 - 9018*z**2 - 16740*z + 25947.
-(z - 1)*(z + 3)*(z + 93)**2
Factor -5*w**2 + 190*w.
-5*w*(w - 38)
Factor 2*b**4/3 - 20*b**3/3 + 8*b**2 + 116*b/3 + 70/3.
2*(b - 7)*(b - 5)*(b + 1)**2/3
Solve 2*u**4/9 + 320*u**3/9 + 6400*u**2/3 + 512000*u/9 + 5120000/9 = 0 for u.
-40
Solve -5*v**3 - 90*v**2 - 415*v - 330 = 0 for v.
-11, -6, -1
Factor 5*c**4 + 595*c**3 - 1210*c**2.
5*c**2*(c - 2)*(c + 121)
Determine k, given that -k**3 + 4*k**2 + 9*k - 36 = 0.
-3, 3, 4
Determine k, given that -2*k**2/9 - 56*k/9 - 64/3 = 0.
-24, -4
Factor -f**3/4 - 13*f**2/4 - 13*f/2 + 28.
-(f - 2)*(f + 7)*(f + 8)/4
Factor -63*p**3/2 - 23*p**2 + 27*p/2 + 5.
-(p + 1)*(7*p + 2)*(9*p - 5)/2
Solve -2*n**2 + 76*n + 78 = 0.
-1, 39
Let -q**4 - 205*q**3 - 14076*q**2 - 328304*q - 314432 = 0. Calculate q.
-68, -1
Factor -2*k**2/7 - 62*k/7.
-2*k*(k + 31)/7
Suppose -2*n**4/13 + 370*n**3/13 - 368*n**2/13 = 0. What is n?
0, 1, 184
Factor -5*t**2 - 95*t.
-5*t*(t + 19)
What is i in -2*i**3 = 0?
0
Factor -3*m**2 - 525*m - 522.
-3*(m + 1)*(m + 174)
Determine y so that 2*y**4/9 + 26*y**3/9 - 2*y**2/9 - 26*y/9 = 0.
-13, -1, 0, 1
Solve 4*c**4/7 + 248*c**3/7 + 3844*c**2/7 = 0 for c.
-31, 0
Determine r, given that -5*r**4/2 + 25*r**3/2 + 155*r**2/2 + 215*r/2 + 45 = 0.
-2, -1, 9
Factor -2*b**2/13 - 12*b/13 - 10/13.
-2*(b + 1)*(b + 5)/13
Solve -2178*i**4 + 8580*i**3 - 8186*i**2 - 520*i - 8 = 0 for i.
-1/33, 2
Factor -c**2/4 + c/2.
-c*(c - 2)/4
Suppose -4*z**5/7 - 8*z**4/7 + 40*z**3/7 + 32*z**2/7 - 132*z/7 + 72/7 = 0. What is z?
-3, 1, 2
Determine z, given that z**2/5 - 16*z/5 + 39/5 = 0.
3, 13
Factor 70*j**2/13 + 2*j/13.
2*j*(35*j + 1)/13
Solve -243*z**4 + 108*z**3 - 12*z**2 = 0.
0, 2/9
Suppose g**3 + 11*g**2 - 2*g - 120 = 0. What is g?
-10, -4, 3
Find k such that -9*k**5 - 264*k**4 - 1609*k**3 - 3586*k**2 - 2940*k - 792 = 0.
-22, -3, -2/3
Factor 2*d**4/3 + 860*d**3/3 + 94994*d**2/3 + 182320*d + 269664.
2*(d + 3)**2*(d + 212)**2/3
Factor -5*r**2/2 + 405*r/2 - 200.
-5*(r - 80)*(r - 1)/2
Factor 2*m**3/13 - 40*m**2/13 + 66*m/13 + 108/13.
2*(m - 18)*(m - 3)*(m + 1)/13
Factor -4*a**2 + 72*a - 320.
-4*(a - 10)*(a - 8)
Factor -4*x**2 + 116*x + 120.
-4*(x - 30)*(x + 1)
What is g in -3*g**5 + 9*g**4 + 3*g**3 - 9*g**2 = 0?
-1, 0, 1, 3
What is z in 3*z**4 + 267*z**3 + 258*z**2 - 528*z = 0?
-88, -2, 0, 1
Factor -3*j**2/5 + 42*j/5 - 147/5.
-3*(j - 7)**2/5
Factor -q**5/5 + 4*q**4/5 - 4*q**3/5.
-q**3*(q - 2)**2/5
Determine g so that 2*g**2/17 + 860*g/17 + 92450/17 = 0.
-215
Factor 2*c**3 - 22*c**2 - 370*c - 1050.
2*(c - 21)*(c + 5)**2
Factor -3*h**3 - 21*h**2 - 48*h - 36.
-3*(h + 2)**2*(h + 3)
Factor 2*d**4 - 24*d**3 - 30*d**2 + 52*d.
2*d*(d - 13)*(d - 1)*(d + 2)
Let 4*z**2/3 + 92*z/3 + 120 = 0. Calculate z.
-18, -5
Factor 3*m**5/5 - 903*m**4/5 + 89994*m**3/5 - 2908194*m**2/5 - 6089997*m/5 - 3090903/5.
3*(m - 101)**3*(m + 1)**2/5
Determine f so that 10*f**4/9 + 32*f**3/9 + 26*f**2/9 + 4*f/9 = 0.
-2, -1, -1/5, 0
Suppose -3*n**4 + 24*n**3 - 69*n**2 + 84*n - 36 = 0. What is n?
1, 2, 3
Solve i**5 - 11*i**4 - 40*i**3 - 28*i**2 = 0.
-2, -1, 0, 14
Factor -2*x**2/11 - 12*x/11 - 10/11.
-2*(x + 1)*(x + 5)/11
Factor l**4/2 + 9*l**3/4 + 15*l**2/4 + 11*l/4 + 3/4.
(l + 1)**3*(2*l + 3)/4
Solve -j**4/6 + 16*j**3/3 - 92*j**2/3 - 192*j - 216 = 0 for j.
-2, 18
Factor 2*i**4/9 - 94*i**3/9 + 88*i**2/9 + 184*i/9.
2*i*(i - 46)*(i - 2)*(i + 1)/9
Suppose 4*u**4 - 20*u**2 + 16 = 0. Calculate u.
-2, -1, 1, 2
Find w such that 2*w**5/9 - 442*w**4/9 + 1564*w**3/3 - 15152*w**2/9 + 6592*w/9 + 8960/3 = 0.
-1, 4, 210
Find s such that -4*s**3 - 168*s**2 + 16*s + 672 = 0.
-42, -2, 2
Factor -2*s**3/17 + 16*s**2/17 - 22*s/17 - 40/17.
-2*(s - 5)*(s - 4)*(s + 1)/17
Suppose -2*z**3/5 - 11*z**2/5 + 247*z/5 + 126/5 = 0. Calculate z.
-14, -1/2, 9
Factor 9*u**4/2 + 60*u**3 + 463*u**2/2 + 234*u + 70.
(u + 5)*(u + 7)*(3*u + 2)**2/2
Solve -4*q**3/3 - 8*q**2 - 44*q/3 - 8 = 0 for q.
-3, -2, -1
Factor 2*l**2/17 + 584*l/17 + 42632/17.
2*(l + 146)**2/17
Factor -7*s**3/3 - 4*s**2 - 5*s/3.
-s*(s + 1)*(7*s + 5)/3
Determine f so that -2*f**4 - 20*f**3 = 0.
-10, 0
Factor -z**5/6 - z**4/2 - z**3/3 + z**2/3 + z/2 + 1/6.
-(z - 1)*(z + 1)**4/6
Factor 4*s**3/9 + 12320*s**2/9 - 24652*s/9 + 12328/9.
4*(s - 1)**2*(s + 3082)/9
Factor -i**2 + 322*i - 25921.
-(i - 161)**2
Factor -5*t**3 + 1115*t**2 + 5670*t + 6840.
-5*(t - 228)*(t + 2)*(t + 3)
Solve -12*f**2/7 + 33*f/7 + 9/7 = 0 for f.
-1/4, 3
Factor -3*d**2/4 + 153*d/2 - 7803/4.
-3*(d - 51)**2/4
What is y in -y**4/4 - 7*y**3/4 - 4*y**2 - 3*y = 0?
-3, -2, 0
Let c**5 - 6*c**4 - 2*c**3 + 12*c**2 + c - 6 = 0. Calculate c.
-1, 1, 6
Find s such that -s**4/5 - 364*s**3/5 - 33843*s**2/5 - 26136*s - 19440 = 0.
-180, -3, -1
Determine f, given that -5*f**4 - 2325*f**3 - 273745*f**2 - 805035*f - 533610 = 0.
-231, -2, -1
Factor -k**3 - 294*k**2.
-k**2*(k + 294)
Find a, given that -2*a**2/5 + 1774*a/15 + 592/15 = 0.
-1/3, 296
Solve 3*i**3 + 27*i**2 + 18*i - 48 = 0 for i.
-8, -2, 1
What is b in -b**4 + 4*b**3 + 13*b**2 - 28*b - 60 = 0?
-2, 3, 5
Let m**3 - 2475*m**2 - m + 2475 = 0. What is m?
-1, 1, 2475
Solve -3*l**5 - 6*l**4 + 42*l**3 - 24*l**2 - 39*l + 30 = 0 for l.
-5, -1, 1, 2
Determine z so that -3*z**2/4 + 401*z/4 + 67/2 = 0.
-1/3, 134
Factor -a**3 + 16*a**2 + 61*a - 76.
-(a - 19)*(a - 1)*(a + 4)
Suppose -2*t**3/3 + 20*t**2/3 + 96*t = 0. Calculate t.
-8, 0, 18
Suppose -2*c**5/3 + 2*c**4/3 + 20*c**3/3 + 16*c**2/3 = 0. What is c?
-2, -1, 0, 4
Factor 2*l**2 + 136*l + 2312.
2*(l + 34)**2
Find k, given that -2*k**3/11 + 14*k**2/11 + 18*k/11 - 126/11 = 0.
-3, 3, 7
Solve -5*x**3 - 355*x**2 - 1030*x - 680 = 0.
-68, -2, -1
Let -2*a**5/7 + 28*a**4 - 4600*a**3/7 - 10000*a**2/7 = 0. Calculate a.
-2, 0, 50
Solve -4*s**4 + 40*s**3 + 192*s**2 - 2560*s + 4096 = 0.
-8, 2, 8
Find a, given that 5*a**2/2 - 605*a - 1220 = 0.
-2, 244
Factor z**4/2 - 3*z**3/2 + z**2/2 + 3*z/2 - 1.
(z - 2)*(z - 1)**2*(z + 1)/2
Factor t**5 + 80*t**4/3 - 9*t**3.
t**3*(t + 27)*(3*t - 1)/3
Factor -2*t**4 + 24*t**3 + 198*t**2 + 316*t + 144.
-2*(t - 18)*(t + 1)**2*(t + 4)
Determine v, given that v**3/2 + 267*v**2 = 0.
-534, 0
What is y in -y**2/2 - 123*y/2 + 62 = 0?
-124, 1
Factor -q**4/11 + 7*q**3/11 - 15*q**2/11 + 9*q/11.
-q*(q - 3)**2*(q - 1)/11
Suppose 9*x**3/7 - 185*x**2/7 - 282*x/7 - 88/7 = 0. Calculate x.
-1, -4/9, 22
What is x in -2*x**5/7 + 20*x**4/7 - 80*x**3/7 + 160*x**2/7 - 160*x/7 + 64/7 = 0?
2
Determine m so that -15*m**5 - 80*m**4 + 185*m**3 + 70*m**2 = 0.
-7, -1/3, 0, 2
What is i in 2*i**3/7 + 16*i**2/7 - 122*i/7 + 104/7 = 0?
-13, 1, 4
Factor 2*f**4/7 - 312*f**3/7 + 11852*f**2/7 + 24648*f/7 + 12482/7.
2*(f - 79)**2*(f + 1)**2/7
Factor -d**5 - 11*d**4 - 35*d**3 - 25*d**2.
-d**2*(d + 1)*(d + 5)**2
What is s in 6*s**3/7 - 4*s**2 + 34*s/7 - 12/7 = 0?
2/3, 1, 3
Find v, given that 2*v**3/3 + 224*v**2/3 + 442*v/3 + 220/3 = 0.
-110, -1
Factor 2*t**2/9 + 208*t/9 + 5408/9.
2*(t + 52)**2/9
Factor 3*b**2 + 2574*b + 552123.
3*(b + 429)**2
Factor 3*u**3 + 36*u**2 - 8505*u + 144342.
3*(u - 27)**2*(u + 66)
Find y such that -6*y**3/7 - 435*y**2/7 - 216*y/7 = 0.
-72, -1/2, 0
Find c such that -2*c**3/13 - 44*c**2/13 - 192*c/13 + 576/13 = 0.
-12, 2
Solve -2*g**4/9 - 32*g**3/9 - 128*g**2/9 = 0 for g.
-8, 0
Factor -p**3/2 + 2*p**2 + 15*p/2 - 9.
-(p - 6)*(p - 1)*(p + 3)/2
Factor 2*u**2 - 14*u - 288.
2*(u - 16)*(u + 9)
Factor -l**4 - 166*l**3 - 6721*l**2 + 13944*l - 7056.
-(l - 1)**2*(l + 84)**2
Factor 3*n**2/7 + 3*n.
3*n*(n + 7)/7
Determine t so that 3*t**3 + 48*t**2 + 87*t + 42 = 0.
-14, -1
Factor v**5/2 - 134*v**4 - 1359*v**3/2 - 821*v**2 + 542*v + 1092.
(v - 273)*(v - 1)*(v + 2)**3/2
Find u such that 5*u**4 + 265*u**3 + 4785*u**2 + 32015*u + 46930 = 0.
-19, -13, -2
Suppose -2*l**2 - 68*l + 70 = 0. What is l?
-35, 1
Determine d, given that 3*d**2/2 - 3*d + 3/2 = 0.
1
What is r in -2*r**2 - 1678*r/9 - 124/3 = 0?
-93, -2/9
Determine w so that -3*w**2 - 195*w - 378 = 0.
-63, -2
Factor 2*n**3/11 + 45*n**2/11 + 97*n/11 - 60/11.
(n + 3)*(n + 20)*(2*n - 1)/11
Find v such that -3*v**5 + 15*v**4 - 21*v**3 - 3*v**2 + 24*v - 12 = 0.
-1, 1, 2
Determine n, given that 7*n**4/3 - 28292*n**3/3 + 28554688*n**2/3 + 21799856*n + 5451312 = 0.
-2, -2/7, 2022
Determine j, given that 3*j**5 - 42*j**4 + 30*j**3 + 120*j**2 - 33*j - 78 = 0.
-1, 1, 2, 13
Find t suc