p*(p - 344)*(p + 1)
Determine a so that -a**4/3 + 11*a**3/3 - 13*a**2/3 - 17*a + 18 = 0.
-2, 1, 3, 9
Find s, given that -3*s**4 - 6*s**3 + 9*s**2 + 12*s - 12 = 0.
-2, 1
Factor 6*r**3/11 + 420*r**2/11 - 4218*r/11 + 3792/11.
6*(r - 8)*(r - 1)*(r + 79)/11
Let 3*d**2/7 - 12*d/7 - 180/7 = 0. Calculate d.
-6, 10
Solve -9*g**2 - 813*g + 546 = 0.
-91, 2/3
Factor 3*j**3 - 756*j**2 - 4665*j + 5418.
3*(j - 258)*(j - 1)*(j + 7)
Factor 26*n**5/9 + 464*n**4/9 + 226*n**3 - 36*n**2.
2*n**2*(n + 9)**2*(13*n - 2)/9
Suppose 6*n**2 + 2151*n/2 + 537/2 = 0. Calculate n.
-179, -1/4
Solve 2*x**3/19 + 40*x**2/19 + 2*x = 0 for x.
-19, -1, 0
Find w, given that -16*w**4/5 - 24*w**3/5 + 3*w**2 - 2*w/5 = 0.
-2, 0, 1/4
Factor -3*h**2 - 12*h.
-3*h*(h + 4)
Factor a**4/2 - 31*a**2/2 - 15*a.
a*(a - 6)*(a + 1)*(a + 5)/2
Factor -q**5/3 + 25*q**4/3 - 30*q**3 + 130*q**2/3 - 85*q/3 + 7.
-(q - 21)*(q - 1)**4/3
Factor x**4 - 834*x**3 + 231852*x**2 - 21484952*x.
x*(x - 278)**3
Find l such that -l**3 + 3*l**2 + 9*l + 5 = 0.
-1, 5
Suppose 63*a**3/5 - 159*a**2 - 324*a/5 + 156/5 = 0. What is a?
-2/3, 2/7, 13
Determine k, given that k**3/3 - 25*k/3 = 0.
-5, 0, 5
Suppose -v**2/3 - 40*v = 0. Calculate v.
-120, 0
Find i such that 2*i**2/7 - 1520*i/7 + 1518/7 = 0.
1, 759
Factor q**5/3 - 24*q**4 - 784*q**3/3 - 2896*q**2/3 - 1520*q - 2624/3.
(q - 82)*(q + 2)**3*(q + 4)/3
Factor -2*t**2/21 - 10*t/7 + 32/21.
-2*(t - 1)*(t + 16)/21
Factor q**5 + 11*q**4 + 18*q**3.
q**3*(q + 2)*(q + 9)
What is w in -13*w**3 + 43*w**2 - 38*w + 8 = 0?
4/13, 1, 2
Solve -30*k**3 - 117*k**2 - 108*k + 12 = 0 for k.
-2, 1/10
What is d in 3*d**2 - 537*d + 534 = 0?
1, 178
Factor -10*z**2 - 22*z - 4.
-2*(z + 2)*(5*z + 1)
Determine l, given that 5*l**3 - 320*l**2 - 325*l = 0.
-1, 0, 65
Factor -2*t**3/7 + 10*t**2 + 124*t + 1440/7.
-2*(t - 45)*(t + 2)*(t + 8)/7
Find q such that 86*q**2/15 + 1544*q/15 - 24/5 = 0.
-18, 2/43
Factor 4*i**2 - 52*i.
4*i*(i - 13)
Factor 3*k**2/2 - 5838*k + 11670.
3*(k - 3890)*(k - 2)/2
Let -12*o**3 + 2416*o**2 - 120796*o - 81608 = 0. What is o?
-2/3, 101
Suppose 5*q**3 - 498*q**2 - 200*q = 0. Calculate q.
-2/5, 0, 100
Suppose 5*l**2 - 5090*l + 1295405 = 0. What is l?
509
Let 5*j**2 + 380*j + 7220 = 0. Calculate j.
-38
Determine j, given that -27*j**5 - 147*j**4 + 102*j**3 + 936*j**2 - 480*j - 384 = 0.
-4, -4/9, 1, 2
Factor k**3/2 - 3*k**2 + 5*k/2.
k*(k - 5)*(k - 1)/2
Factor -2*v**3/5 - 254*v**2/5 - 1468*v/5 - 1936/5.
-2*(v + 2)*(v + 4)*(v + 121)/5
Solve -2*w**4 + 108*w**3 - 1562*w**2 + 2808*w - 1352 = 0.
1, 26
Let -4*r**4 - 100*r**3 - 732*r**2 - 1100*r + 1936 = 0. Calculate r.
-11, -4, 1
Suppose -a**5/2 - a**4/2 + a**3/2 + a**2/2 = 0. Calculate a.
-1, 0, 1
Find z, given that 3*z**5/2 - 9*z**4/2 + 6*z**2 = 0.
-1, 0, 2
Let 49*x**5 - 21*x**4 - 73*x**3 + 17*x**2 + 24*x + 4 = 0. Calculate x.
-1, -2/7, 1
Factor 4*b**2 + 17184*b + 18455616.
4*(b + 2148)**2
Let 18*h**4 + 15081*h**3 - 2514*h**2 = 0. What is h?
-838, 0, 1/6
Solve 6083500*i**3 - 79350*i**2 + 345*i - 1/2 = 0.
1/230
Factor o**5/5 - 3*o**4/5 - o**3/5 + 3*o**2/5.
o**2*(o - 3)*(o - 1)*(o + 1)/5
Factor -4*s**3 + 40*s**2 - 84*s.
-4*s*(s - 7)*(s - 3)
Determine i, given that -4*i**3 + 64*i**2 + 144*i = 0.
-2, 0, 18
Suppose y**2/3 - 8*y - 112/3 = 0. What is y?
-4, 28
Factor -l**2/3 + 190*l/3.
-l*(l - 190)/3
Solve -5*s**5 - 10*s**4 + 10*s**2 + 5*s = 0.
-1, 0, 1
Factor -3*q**2/4 - 339*q - 38307.
-3*(q + 226)**2/4
Determine v so that -42*v**4 + 26*v**3 + 38*v**2 - 26*v + 4 = 0.
-1, 2/7, 1/3, 1
Find y, given that -y**4/6 + 5*y**3/6 - 4*y**2/3 + 2*y/3 = 0.
0, 1, 2
Solve -2*y**5 - 16*y**4 + 46*y**3 + 268*y**2 - 952*y + 784 = 0 for y.
-7, 2
Factor -z**3/5 - 8*z**2/5 + 37*z - 456/5.
-(z - 8)*(z - 3)*(z + 19)/5
Solve 2*j**3 + 52*j**2 - 110*j + 56 = 0.
-28, 1
What is z in 5*z**2 - 50*z + 125 = 0?
5
Factor -d**2 + 3784*d - 3579664.
-(d - 1892)**2
Factor -i**2 + 1003*i + 1004.
-(i - 1004)*(i + 1)
Solve 88*h**2 + 436*h - 20 = 0 for h.
-5, 1/22
Factor 3*v**3 - 36*v**2 - 3456*v + 62208.
3*(v - 24)**2*(v + 36)
Solve 2*z**5/3 - 1288*z**4/9 - 4354*z**3/9 - 148*z**2 + 5224*z/9 + 1744/9 = 0 for z.
-2, -1/3, 1, 218
Factor -2*p**3/3 - 106*p**2/3 + 286*p + 25350.
-2*(p - 25)*(p + 39)**2/3
Let 5*j**5 - 65*j**4 + 150*j**3 = 0. Calculate j.
0, 3, 10
Factor -128*u**4/7 + 1952*u**3/7 + 216*u**2 + 382*u/7 + 32/7.
-2*(u - 16)*(4*u + 1)**3/7
Solve i**2/10 + 413*i/5 + 170569/10 = 0 for i.
-413
Determine y, given that 3*y**3/4 + 165*y**2/4 + 81*y/2 = 0.
-54, -1, 0
Factor o**5 - 7*o**4 - 8*o**3.
o**3*(o - 8)*(o + 1)
Determine n so that -3*n**4 + 144*n**3 - 1866*n**2 + 3312*n - 1587 = 0.
1, 23
Let -4*c**3 + 25*c**2 + 41*c/2 + 7/2 = 0. Calculate c.
-1/2, -1/4, 7
Let m**4/2 + 2*m**3 - 7*m**2/2 - 5*m = 0. What is m?
-5, -1, 0, 2
Let -2*y**3 - 22*y**2 + 120*y = 0. Calculate y.
-15, 0, 4
Factor -i**2/8 - 155*i/8 + 39/2.
-(i - 1)*(i + 156)/8
Factor 4*q**3/5 + 4*q**2 + 8*q/5 - 32/5.
4*(q - 1)*(q + 2)*(q + 4)/5
Determine d so that -3*d**5/2 - 29*d**4/2 + 45*d**3/2 + 9*d**2/2 - 11*d = 0.
-11, -2/3, 0, 1
Determine q, given that -4*q**2 - 104*q + 348 = 0.
-29, 3
Factor 2*n**3/9 + 34*n**2 - 104*n.
2*n*(n - 3)*(n + 156)/9
Let f**2/4 - 883*f/2 + 779689/4 = 0. Calculate f.
883
What is b in 3*b**5 - 120*b**4 - 279*b**3 + 1128*b**2 + 276*b - 1008 = 0?
-4, -1, 1, 2, 42
Factor 2*u**3 - 40*u**2 + 34*u + 76.
2*(u - 19)*(u - 2)*(u + 1)
Determine o, given that -4*o**4 + 16*o**3 + 24*o**2 - 16*o - 20 = 0.
-1, 1, 5
Determine z so that 18*z**3/5 + 10*z**2 - 308*z/5 + 48 = 0.
-6, 1, 20/9
Factor 2*p**2 - 1448*p - 1450.
2*(p - 725)*(p + 1)
Factor -34*f**2/7 - 8*f + 24/7.
-2*(f + 2)*(17*f - 6)/7
Suppose 2*k**3/7 - 22*k**2/7 + 16*k/7 + 40/7 = 0. What is k?
-1, 2, 10
Factor -m**2/2 + 85*m/2 + 43.
-(m - 86)*(m + 1)/2
Factor -4*h**2 + 224*h - 220.
-4*(h - 55)*(h - 1)
Factor x**5 + 44*x**4 + 481*x**3 - 130*x**2 - 1364*x + 968.
(x - 1)**2*(x + 2)*(x + 22)**2
Suppose 2*g**5/7 + 100*g**4/7 + 380*g**3/7 + 80*g**2 + 370*g/7 + 92/7 = 0. What is g?
-46, -1
Let p**3 - 12*p**2 - 4*p + 48 = 0. Calculate p.
-2, 2, 12
Factor -3*l**3/7 + 25002*l**2/7 - 69455556*l/7 + 64315844856/7.
-3*(l - 2778)**3/7
Let i**5/7 - 103*i**4/7 - 45*i**3 - 317*i**2/7 - 106*i/7 = 0. What is i?
-1, 0, 106
Factor -4*u**4 + 40*u**3 + 144*u**2 + 152*u + 52.
-4*(u - 13)*(u + 1)**3
Suppose -d**2/6 - 5*d/6 + 1 = 0. What is d?
-6, 1
Factor 3*u**4 + 153*u**3 - 486*u**2.
3*u**2*(u - 3)*(u + 54)
Factor -2*j**2 + 4*j + 1150.
-2*(j - 25)*(j + 23)
Factor -3*d**2/7 - 477*d/7 + 138.
-3*(d - 2)*(d + 161)/7
Let 2*j**3/7 - 256*j**2/7 + 254*j/7 = 0. Calculate j.
0, 1, 127
Solve 2*k**5/5 - 12*k**4/5 - 6*k**3/5 + 32*k**2/5 + 24*k/5 = 0.
-1, 0, 2, 6
Factor 3*v**3 + 27*v**2 - 66*v.
3*v*(v - 2)*(v + 11)
