e m.
-2, 1
Find r such that 3*r**4/2 - 81*r**3 + 879*r**2/2 - 342*r - 864 = 0.
-1, 3, 4, 48
Factor -6*w**2 - 170*w - 700.
-2*(w + 5)*(3*w + 70)
Solve 2*t**2/7 + 2228*t/7 + 620498/7 = 0 for t.
-557
Find a such that a**2/4 - 217*a/4 - 109/2 = 0.
-1, 218
Suppose -147*q**5 + 651*q**4 - 768*q**3 - 24*q**2 + 240*q + 48 = 0. Calculate q.
-2/7, 1, 2
Factor -k**3/2 + 9*k**2/2 - 15*k/2 - 25/2.
-(k - 5)**2*(k + 1)/2
Find b, given that -12*b**5 + 117*b**4 - 342*b**3 + 267*b**2 + 90*b = 0.
-1/4, 0, 2, 3, 5
Factor 50*p**2 + 40*p + 8.
2*(5*p + 2)**2
Factor -z**3 - 1111*z**2 - 309135*z - 308025.
-(z + 1)*(z + 555)**2
Determine b so that -b**2 - 17*b - 30 = 0.
-15, -2
Suppose 2*b**4/15 + 2*b**3/3 - 8*b**2/15 - 8*b/3 = 0. What is b?
-5, -2, 0, 2
Factor 4*i**2/5 - 794*i/15 + 44/5.
2*(i - 66)*(6*i - 1)/15
Find p, given that -5*p**3 + 615*p**2 + 630*p - 1240 = 0.
-2, 1, 124
Find u, given that 23762*u**3/7 + 22018*u**2/7 - 1712*u/7 + 32/7 = 0.
-1, 4/109
Factor y**2/4 - 5*y/2 + 21/4.
(y - 7)*(y - 3)/4
What is q in 3*q**5 - 2*q**4 - 9*q**3 + 12*q**2 - 4*q = 0?
-2, 0, 2/3, 1
Factor 4*m**4/5 + 8*m**3/5 - 12*m**2/5 - 32*m/5 - 16/5.
4*(m - 2)*(m + 1)**2*(m + 2)/5
Factor u**2/6 + u/6 - 5.
(u - 5)*(u + 6)/6
Factor -3*r**2/2 - 1359*r - 615627/2.
-3*(r + 453)**2/2
Find q, given that -676*q**5/3 + 3484*q**4/3 + 152*q**3/3 - 3464*q**2/3 + 524*q/3 - 20/3 = 0.
-1, 1/13, 1, 5
Factor -40*i**2 - 4395*i + 550.
-5*(i + 110)*(8*i - 1)
Solve 16*a**2 + 220*a - 56 = 0.
-14, 1/4
Let i**3/3 + 4*i**2/3 - 5*i/3 = 0. Calculate i.
-5, 0, 1
Suppose -3*x**2/8 - 57*x/8 + 99/4 = 0. What is x?
-22, 3
Factor -5*u**2 + 15*u + 20.
-5*(u - 4)*(u + 1)
Factor 2*y**4 - 48*y**3 - 156*y**2 - 160*y - 54.
2*(y - 27)*(y + 1)**3
Factor -4*d**2 + 44*d/5 + 64/5.
-4*(d + 1)*(5*d - 16)/5
Suppose 5*b**2 - 270*b - 1800 = 0. Calculate b.
-6, 60
Suppose 22*a**4/15 - 128*a**3/15 + 58*a**2/5 + 12*a/5 = 0. Calculate a.
-2/11, 0, 3
Factor 3*h**5 + 6*h**4 - 60*h**3 + 72*h**2.
3*h**2*(h - 2)**2*(h + 6)
Let 28*w**4 + 624*w**3 + 4292*w**2 + 8736*w + 2160 = 0. What is w?
-10, -9, -3, -2/7
Determine b so that -b**2/6 - 2*b + 85/6 = 0.
-17, 5
Factor 2*h**3/9 - 88*h**2/9 + 134*h/3 - 52.
2*(h - 39)*(h - 3)*(h - 2)/9
Determine l, given that 4*l**2 - 272*l + 4624 = 0.
34
Solve 2*h**2/3 - 3244*h + 3946326 = 0 for h.
2433
Determine a, given that 2*a**2/9 + 4*a/9 - 5830/9 = 0.
-55, 53
Factor b**2/5 - 6454*b/5 + 10413529/5.
(b - 3227)**2/5
Suppose u**4/2 + 2772*u**3 + 5762988*u**2 + 5325000912*u + 1845112816008 = 0. Calculate u.
-1386
What is j in j**3 + 4*j**2 + 3*j = 0?
-3, -1, 0
Factor 5*u**5 + 1205*u**4 + 73200*u**3 + 72000*u**2.
5*u**2*(u + 1)*(u + 120)**2
Determine o, given that 4*o**2 + 776*o + 3040 = 0.
-190, -4
Solve 8*b**5/5 + 84*b**4/5 - 64*b**3/5 - 228*b**2/5 - 88*b/5 = 0 for b.
-11, -1, -1/2, 0, 2
Factor -2*a**2 + 220*a.
-2*a*(a - 110)
Determine l so that -l**5 - 169*l**4 + l**3 + 169*l**2 = 0.
-169, -1, 0, 1
Suppose 3*t**2 - 36*t + 60 = 0. Calculate t.
2, 10
Factor 4*w**3 - 2316*w - 4600.
4*(w - 25)*(w + 2)*(w + 23)
Factor -3*q**4 - 36*q**3 - 54*q**2 + 420*q + 441.
-3*(q - 3)*(q + 1)*(q + 7)**2
Determine g, given that 2*g**2/13 - 34*g/13 + 120/13 = 0.
5, 12
Factor 2*i**5 + 2*i**4.
2*i**4*(i + 1)
Factor -5*z**4 + 15*z**3 + 15*z**2 - 55*z + 30.
-5*(z - 3)*(z - 1)**2*(z + 2)
Suppose 2*s**3 + 60*s**2/7 + 72*s/7 + 16/7 = 0. What is s?
-2, -2/7
Determine n so that 3*n**3 - 174*n**2 = 0.
0, 58
Determine a, given that -37*a**4/11 - 2*a**3/11 + 37*a**2/11 + 2*a/11 = 0.
-1, -2/37, 0, 1
Factor w**3/3 + 32*w**2/3 + 20*w.
w*(w + 2)*(w + 30)/3
Find j such that 5*j**3 - 775*j**2 + 14515*j + 15295 = 0.
-1, 23, 133
Solve 2*f**3/15 - 4*f**2/5 - 2*f/15 + 4/5 = 0.
-1, 1, 6
Factor -2*u**3/5 - 44*u**2/5 - 42*u/5.
-2*u*(u + 1)*(u + 21)/5
Let 3*b**3/4 - 3*b**2/4 - 3*b + 3 = 0. What is b?
-2, 1, 2
Determine q, given that 4*q**2/9 - 4*q - 448/9 = 0.
-7, 16
Determine m, given that -2*m**5 + 7*m**4 + 6*m**3 - 31*m**2 + 8*m + 12 = 0.
-2, -1/2, 1, 2, 3
Factor -3*k**3.
-3*k**3
Determine g, given that 2*g**2/5 - 244*g/5 + 7442/5 = 0.
61
Determine d, given that -3*d**4 + 12*d**3 - 48*d + 48 = 0.
-2, 2
Factor i**3 + 11*i**2 + 10*i.
i*(i + 1)*(i + 10)
Suppose 60*n**5 - 400*n**4 - 205*n**3 + 435*n**2 + 145*n - 35 = 0. What is n?
-1, -1/2, 1/6, 1, 7
Factor -128*m**3 - 16672*m**2 + 12558*m - 2358.
-2*(m + 131)*(8*m - 3)**2
Let -4*q**2 - 128*q + 272 = 0. Calculate q.
-34, 2
Factor 3*w**3/5 - 36*w**2/5 + 12*w.
3*w*(w - 10)*(w - 2)/5
Solve 4*t**3 + 48*t**2 + 180*t + 200 = 0 for t.
-5, -2
Factor -5*n**5/2 - 5*n**4/2 + 35*n**3 - 65*n**2 + 95*n/2 - 25/2.
-5*(n - 1)**4*(n + 5)/2
Let 5*c**2 + 1770*c = 0. Calculate c.
-354, 0
What is t in 3*t**3/5 + 3*t**2 = 0?
-5, 0
Determine d, given that -3*d**5 - 33*d**4 + 120*d**3 - 84*d**2 = 0.
-14, 0, 1, 2
Find g, given that 2*g**2/5 - 10*g + 132/5 = 0.
3, 22
Determine g so that -620*g**5 - 1424*g**4 + 18684*g**3/5 - 9536*g**2/5 + 176*g + 192/5 = 0.
-4, -3/31, 2/5, 1
What is i in -i**2/7 - 9*i/7 + 10/7 = 0?
-10, 1
What is h in -2*h**2/11 + 28*h/11 + 64/11 = 0?
-2, 16
Let 441*z**5/2 - 97125*z**4/2 - 37572*z**3 + 98316*z**2 - 42456*z + 5304 = 0. Calculate z.
-2, 2/7, 2/3, 221
Factor -5*p**4 + 10*p**3 - 5*p**2.
-5*p**2*(p - 1)**2
Let r**3 + 667*r**2 - 2680*r + 2684 = 0. What is r?
-671, 2
Factor -2*f**3 + 56*f + 96.
-2*(f - 6)*(f + 2)*(f + 4)
Determine t, given that 5*t**4 + 45*t**3 - 740*t - 1200 = 0.
-6, -5, -2, 4
Let 5*d**4 + 145*d**3 - 155*d**2 - 145*d + 150 = 0. What is d?
-30, -1, 1
Find p such that 2*p**3/15 + 2*p**2 - 188*p/15 + 16 = 0.
-20, 2, 3
Determine o, given that -5*o**4/6 + 5*o**3/6 + 5*o**2/6 - 5*o/6 = 0.
-1, 0, 1
Factor -2*j**2 + 216*j.
-2*j*(j - 108)
Solve -4*c**3 + 108*c**2 - 272*c - 384 = 0.
-1, 4, 24
Find k, given that 2*k**5 + 64*k**4 - 562*k**3 - 624*k**2 = 0.
-39, -1, 0, 8
Factor -3*p**2/4 + 9*p - 15.
-3*(p - 10)*(p - 2)/4
Suppose -2*w**2/13 + 9888*w/13 - 12221568/13 = 0. Calculate w.
2472
Suppose h**5 - h**3 = 0. Calculate h.
-1, 0, 1
Find o, given that -2*o**3/9 + 76*o**2/9 - 208*o/3 = 0.
0, 12, 26
Factor -2*c**2 + 610*c - 608.
-2*(c - 304)*(c - 1)
Let 2*d**3/7 + 172*d**2/7 + 302*d + 1008 = 0. Calculate d.
-72, -7
Determine v, given that 3*v**5 + 39*v**4 + 93*v**3 + 21*v**2 - 96*v - 60 = 0.
-10, -2, -1, 1
Factor 2*p**2 - 438*p - 1784.
2*(p - 223)*(p + 4)
Factor p**4/4 - 15*p**3/2 - 31*p**2/4.
p**2*(p - 31)*(p + 1)/4
Find b, given that -b**3/2 - 5*b**2 + b/2 + 5 = 0.
-10, -1, 1
What is m in -4*m**5 - 94*m**4/11 - 12*m**3/11 = 0?
-2, -3/22, 0
Factor -3*a**2 - 48*a + 315.
-3*(a - 5)*(a + 21)
Factor 3*u**3 + 264*u**2 + 6063*u + 11094.
3*(u + 2)*(u + 43)**2
Suppose 2*k**2 + 322*k + 636 = 0. What is k?
-159, -2
Find j, given that 100*j**4 + 20*j**3 - 264*j**2 + 176*j - 32 = 0.
-2, 2/5, 1
Factor q**4/4 + q**3/2 - q**2 - 2*q.
q*(q - 2)*(q + 2)**2/4
Factor -2*k**3/9 + 530*k**2/9 + 1066*k/9 + 178/3.
-2*(k - 267)*(k + 1)**2/9
Let -45*j**5/2 - 485*j**4/2 + 2675*j**3/2 - 2595*j**2/2 + 225*j = 0. What is j?
-15, 0, 2/9, 1, 3
Factor -v**5 - v**4 + 2*v**3.
-v**3*(v - 1)*(v + 2)
Solve -5*h**5 - 20*h**4 + 120*h**3 + 230*h**2 - 1075*h + 750 = 0.
-5, 1, 2, 3
Determine w so that -5*w**4 + 640*w**3 + 15*w**2 - 1910*w - 1280 = 0.
-1, 2, 128
Factor 6*v**2 + 598*v + 592.
2*(v + 1)*(3*v + 296)
Factor 4*l**3 - 448*l**2 - 2316*l - 2808.
4*(l - 117)*(l + 2)*(l + 3)
Factor f**2/6 + f/6 - 1/3.
(f - 1)*(f + 2)/6
Find t such that -6*t**3/5 - 4616*t**2 - 22202958*t/5 - 14791716/5 = 0.
-1923, -2/3
Determine y so that y**3/2 + y**2/2 - 4*y - 6 = 0.
-2, 3
Find q such that 3*q**4/4 + 18*q**3 + 195*q**2/4 + 63*q/2 = 0.
-21, -2, -1, 0
Let 2*d**5/5 + 58*d**4/5 + 84*d**3 = 0. What is d?
-15, -14, 0
Find d, given that -d**3/2 - 49*d**2/2 - 380*d - 1800 = 0.
-20, -9
Factor -n**2/6 + 120*n.
-n*(n - 720)/6
Factor -k**4/4 - 3*k**3/4 + 3*k**2/2 + 2*k.
-k*(k - 2)*(k + 1)*(k + 4)/4
Find c such that 2*c**2/11 - 2664*c/11 + 887112/11 = 0.
666
Factor 20*f**4/9 + 8*f**3/9 - 4*f**2/3.
4*f**2*(f + 1)*(5*f - 3)/9
Factor 3*m**2 - 2328*m + 451632.
3*(m - 388)**2
Factor 3*q**3/4 + 63*q**2 + 1323*q.
3*q*(q + 42)**2/4
Let -5*a**2 - 70940*a - 251624180 = 0. What is a?
-7094
Suppose 5*s**2 - 245*s + 2940 = 0. Calculate s.
21, 28
Solve 5*n**2 + 155*n + 150 = 0.
-30, -1
Factor 2*r**4/9 + 14*r**3/9 + 2*r**2/9 - 6*r + 4.
2*(r - 1)**2*(r + 3)*(r + 6)/9
Let -3*k**2 + 57