.
10, 94
Determine s, given that -5*s**2 + 30*s - 25 = 0.
1, 5
Solve -4*l**2 + 516*l - 512 = 0.
1, 128
Factor 14*w**3 + 23*w**2 - 11*w - 2.
(w + 2)*(2*w - 1)*(7*w + 1)
Suppose 2*d**3 - 336*d**2/5 - 5086*d/5 - 396 = 0. Calculate d.
-11, -2/5, 45
Factor 2*g**4/9 + 16*g**3/9 - 2*g**2.
2*g**2*(g - 1)*(g + 9)/9
Factor 2*j**4 + 14*j**3 + 16*j**2 - 32*j.
2*j*(j - 1)*(j + 4)**2
What is m in -5*m**4 - 105*m**3 - 425*m**2 + 1185*m - 650 = 0?
-13, -10, 1
What is f in -5*f**5/2 - 45*f**4 - 80*f**3 + 5*f**2 + 165*f/2 + 40 = 0?
-16, -1, 1
Determine z, given that -4*z**4/3 + 92*z**3/3 - 148*z**2 + 204*z = 0.
0, 3, 17
Solve 20*w**5/7 + 312*w**4/7 - 188*w**3/7 - 128*w**2 + 144*w - 256/7 = 0.
-16, -2, 2/5, 1
Factor 3*g**3 - 150*g**2 - 639*g - 486.
3*(g - 54)*(g + 1)*(g + 3)
Let -g**2 + 4*g - 4 = 0. Calculate g.
2
Factor u**2/3 - 23*u/3 + 22/3.
(u - 22)*(u - 1)/3
Let 2*f**3/3 - 22*f**2 + 144*f + 648 = 0. What is f?
-3, 18
Suppose -69*f**5/11 - 688*f**4/11 - 1636*f**3/11 + 738*f**2/11 + 155*f - 50/11 = 0. What is f?
-5, -1, 2/69, 1
Factor -2*c**3 + 36*c**2.
-2*c**2*(c - 18)
Factor 3*n**5 + 6*n**4 - 39*n**3 + 30*n**2.
3*n**2*(n - 2)*(n - 1)*(n + 5)
Determine j so that 4*j**2 - 340*j + 2464 = 0.
8, 77
Factor -81*v**2 - 273*v - 90.
-3*(v + 3)*(27*v + 10)
What is l in -4*l**4 + 28*l**3 - 48*l**2 - 16*l + 64 = 0?
-1, 2, 4
Find k such that -111*k**4/4 + 316*k**3 + 2263*k**2/4 + 209*k - 13 = 0.
-1, -2/3, 2/37, 13
Let q**2/2 + 46*q + 1058 = 0. Calculate q.
-46
Factor 3*x**4/7 + 12*x**3/7 - 48*x**2/7 - 192*x/7.
3*x*(x - 4)*(x + 4)**2/7
Suppose 3*n**2/8 - 57*n/8 + 63/2 = 0. Calculate n.
7, 12
Find j, given that -j**4/2 - 9*j**3/2 - j**2 + 42*j - 36 = 0.
-6, 1, 2
Suppose -2*k**4 - 1190*k**3 + 6*k**2 + 3566*k - 2380 = 0. What is k?
-595, -2, 1
Solve i**3/2 - 4*i**2 - 9*i/2 = 0 for i.
-1, 0, 9
Factor 3*w**2 + 9*w.
3*w*(w + 3)
Factor l**3/2 - 9*l**2/2 - 17*l - 12.
(l - 12)*(l + 1)*(l + 2)/2
Solve 2*y**4 + 20*y**3 + 34*y**2 + 16*y = 0.
-8, -1, 0
Let 2*y**2 - 124*y + 240 = 0. What is y?
2, 60
Factor i**5 + 4*i**4 + i**3 - 6*i**2.
i**2*(i - 1)*(i + 2)*(i + 3)
What is f in f**3/3 - 20*f**2 + 319*f - 1682/3 = 0?
2, 29
Solve 2*k**4 - 40*k**3 + 212*k**2 + 168*k - 2646 = 0.
-3, 7, 9
Solve -2*p**2/3 + 794*p/3 = 0 for p.
0, 397
Let -4*g**3 + 544*g**2 - 19028*g + 35912 = 0. Calculate g.
2, 67
Suppose -2*x**3/5 - 8*x**2 - 256*x/5 - 512/5 = 0. What is x?
-8, -4
Factor 3*b**3/5 + 9*b**2/5 + 9*b/5 + 3/5.
3*(b + 1)**3/5
Determine d, given that 50*d**5 + 405*d**4 + 1140*d**3 + 1310*d**2 + 570*d + 45 = 0.
-3, -1, -1/10
Suppose 9*u**3/2 + 5799*u**2/2 + 19255*u/2 + 16025/2 = 0. Calculate u.
-641, -5/3
Find k, given that 15*k**4 + 18*k**3 - 39*k**2 - 18*k + 24 = 0.
-2, -1, 4/5, 1
Determine i so that -3*i**2 + 129*i = 0.
0, 43
Factor m**4/2 + 7*m**3 + 18*m**2 + 17*m + 11/2.
(m + 1)**3*(m + 11)/2
Find m such that -2*m**2 - 68*m = 0.
-34, 0
Factor -d**2/6 - 71*d/3.
-d*(d + 142)/6
Determine l, given that -2*l**4/5 + l**3 + l**2 - l - 3/5 = 0.
-1, -1/2, 1, 3
Suppose 2*w**3/15 - 74*w/5 + 44/3 = 0. Calculate w.
-11, 1, 10
Factor -2*t**2 - 58*t - 156.
-2*(t + 3)*(t + 26)
Factor -3*a**3 - 105*a**2 - 969*a - 867.
-3*(a + 1)*(a + 17)**2
Find k such that 2*k**4/15 - 2*k**3/15 - 2*k**2/5 + 2*k/15 + 4/15 = 0.
-1, 1, 2
Factor -12*s**4 - 33*s**3 - 15*s**2 + 6*s.
-3*s*(s + 1)*(s + 2)*(4*s - 1)
Determine t so that -3*t**2 + 135*t + 282 = 0.
-2, 47
Find l such that l**5/9 + l**4/9 - l**3 + 11*l**2/9 - 4*l/9 = 0.
-4, 0, 1
Factor 2*s**2/19 + 80*s/19 - 82/19.
2*(s - 1)*(s + 41)/19
Let -s**3 + 23*s**2 - 20*s - 44 = 0. Calculate s.
-1, 2, 22
Determine f so that 10*f**5/7 + 526*f**4/7 + 818*f**3/7 + 14*f**2 - 204*f/7 = 0.
-51, -1, 0, 2/5
Factor 25*g**4 + 135*g**3 + 150*g**2 + 40*g.
5*g*(g + 1)*(g + 4)*(5*g + 2)
Suppose -j**4 + 19*j**3 + j**2 - 19*j = 0. What is j?
-1, 0, 1, 19
Factor -c**2/3 + 10*c/3 - 16/3.
-(c - 8)*(c - 2)/3
Let -579121*j**4/5 + 462688*j**3 - 2304312*j**2/5 - 2432*j - 16/5 = 0. Calculate j.
-2/761, 2
Solve -3*w**2/2 - 29*w/2 - 9 = 0.
-9, -2/3
Find d such that 91*d**4 + 110*d**3 - 165*d**2 - 40*d + 4 = 0.
-2, -2/7, 1/13, 1
Factor 5*d**3/4 - 55*d**2 - 705*d/4.
5*d*(d - 47)*(d + 3)/4
Factor -2*v**4 + 36*v**3 - 200*v**2 + 252*v + 490.
-2*(v - 7)**2*(v - 5)*(v + 1)
Solve 2*h**5/9 + 10*h**4/9 - 28*h**3 + 676*h**2/9 - 646*h/9 + 70/3 = 0 for h.
-15, 1, 7
Factor -p**4/4 + 17*p**3/4 + 3*p**2/4 - 53*p/4 + 17/2.
-(p - 17)*(p - 1)**2*(p + 2)/4
Factor 5*c**4 + 10*c**3 - 15*c**2.
5*c**2*(c - 1)*(c + 3)
Suppose -3*a**4 - 12*a**3 - 9*a**2 + 12*a + 12 = 0. Calculate a.
-2, -1, 1
Factor 3*m**2/5 + 30*m + 1683/5.
3*(m + 17)*(m + 33)/5
Factor i**2/2 - 171*i + 29241/2.
(i - 171)**2/2
Factor -2*p**3/15 - 56*p**2/15 - 106*p/15 - 52/15.
-2*(p + 1)**2*(p + 26)/15
Factor 3*s**3 + 12*s**2 + 15*s + 6.
3*(s + 1)**2*(s + 2)
Solve -21*v**3/2 - 45*v**2 - 54*v - 12 = 0.
-2, -2/7
Factor c**5 - 25*c**4 + 192*c**3 - 500*c**2 + 416*c.
c*(c - 13)*(c - 8)*(c - 2)**2
Factor -5*w**3 + 1600*w**2 - 124740*w - 524880.
-5*(w - 162)**2*(w + 4)
Find l, given that -9*l**5 - 25*l**4 + 87*l**3 - 63*l**2 + 10*l = 0.
-5, 0, 2/9, 1
Let o**2/2 - 108*o + 214 = 0. What is o?
2, 214
Let -5*r**2/3 + 650*r/3 - 635 = 0. Calculate r.
3, 127
Factor c**3 - 452*c**2 + 897*c + 1350.
(c - 450)*(c - 3)*(c + 1)
Factor -4*n**2/3 + 30892*n/3.
-4*n*(n - 7723)/3
Determine b so that 5*b**3 + 60*b**2 + 240*b + 320 = 0.
-4
Determine f, given that -f**5/2 + 23*f**4/4 - 81*f**3/4 + 61*f**2/4 + 107*f/4 - 15 = 0.
-1, 1/2, 3, 4, 5
Factor q**3 - 25*q**2 + 126*q.
q*(q - 18)*(q - 7)
Find s such that -4*s**2 - 288*s - 5040 = 0.
-42, -30
Factor 5*t**3 + 160*t**2 + 695*t + 540.
5*(t + 1)*(t + 4)*(t + 27)
What is g in -g**3 + 118*g**2 - 233*g + 116 = 0?
1, 116
What is t in 5*t**2 - 180*t - 585 = 0?
-3, 39
Factor -3*i**3/5 + 6*i**2/5 + 39*i/5 + 6.
-3*(i - 5)*(i + 1)*(i + 2)/5
Determine r so that -2*r**5/3 - 14*r**4 - 310*r**3/3 - 314*r**2 - 336*r = 0.
-8, -7, -3, 0
Solve -2*n**4/11 - 30*n**3/11 - 108*n**2/11 + 64*n/11 + 576/11 = 0.
-9, -4, 2
Solve 3*h**4/4 + 87*h**3/2 + 537*h**2 - 5487*h/2 + 8649/4 = 0.
-31, 1, 3
Suppose 3*d**2 + 36*d + 96 = 0. What is d?
-8, -4
Let -4*r**5 - 80*r**4 - 336*r**3 - 568*r**2 - 428*r - 120 = 0. Calculate r.
-15, -2, -1
Determine m, given that 3*m**4 - 51*m**3 - 207*m**2 + 555*m - 300 = 0.
-5, 1, 20
Suppose 5*n**4 - 55*n**3 + 165*n**2 - 185*n + 70 = 0. Calculate n.
1, 2, 7
Determine n, given that 4*n**4/5 - 14*n**3/5 - 28*n**2/5 - 2*n = 0.
-1, -1/2, 0, 5
Factor -2*y**3 + 362*y**2 - 16560*y + 16200.
-2*(y - 90)**2*(y - 1)
Solve -y**3/2 - 813*y**2/2 - 168051*y/2 - 1136863/2 = 0 for y.
-403, -7
Solve 64*n**2/13 - 40*n/13 + 6/13 = 0 for n.
1/4, 3/8
What is z in -3*z**5/4 + 9*z**4/2 - 15*z**3/2 + 33*z/4 - 9/2 = 0?
-1, 1, 2, 3
Find w such that 2*w**3 + 30*w**2 + 112*w + 120 = 0.
-10, -3, -2
Factor 22*h**2 - 686*h + 124.
2*(h - 31)*(11*h - 2)
Factor 42*a**4/11 - 80*a**3/11 - 8*a**2/11.
2*a**2*(a - 2)*(21*a + 2)/11
Factor -2*o**2/13 + 1706*o/13 - 6792/13.
-2*(o - 849)*(o - 4)/13
Factor -5*w**3/4 - 7*w**2/4 + 11*w/2 + 6.
-(w - 2)*(w + 1)*(5*w + 12)/4
Let 154*j**5/5 - 424*j**4/5 + 336*j**3/5 - 4*j**2/5 - 74*j/5 + 12/5 = 0. What is j?
-3/7, 2/11, 1
Suppose -p**5 - 16*p**4 - 87*p**3 - 180*p**2 - 108*p = 0. Calculate p.
-6, -3, -1, 0
Factor -6*h**2/7 - 358*h/7 - 236/7.
-2*(h + 59)*(3*h + 2)/7
Determine z, given that z**5/6 - 3*z**4/2 + 4*z**3 - 10*z**2/3 = 0.
0, 2, 5
Factor 2*d**2 + 6*d - 216.
2*(d - 9)*(d + 12)
Determine t, given that t**5 - 63*t**4 + 242*t**3 - 358*t**2 + 237*t - 59 = 0.
1, 59
Let 5*r**2/2 - 1585*r/2 + 1575 = 0. What is r?
2, 315
Factor 21*c**4 + 135*c**3 + 279*c**2 + 237*c + 72.
3*(c + 1)**3*(7*c + 24)
Factor -q**2/2 + 338*q + 678.
-(q - 678)*(q + 2)/2
Factor 5*s**2/6 - 155*s/6 - 185.
5*(s - 37)*(s + 6)/6
Suppose 10*o**4/11 - 42*o**3/11 - 10*o**2/11 + 114*o/11 + 72/11 = 0. Calculate o.
-1, -4/5, 3
Factor -20*q**3 - 168*q**2 + 896*q + 384.
-4*(q - 4)*(q + 12)*(5*q + 2)
Determine w, given that 4*w**3 + 312*w**2 = 0.
-78, 0
Solve -l**2/4 - 9*l/2 + 19/4 = 0 for l.
-19, 1
What is h in -4*h**3 + 1960*h**2 = 0?
0, 490
Suppose 2*s**5/5 + 5*s**4/2 - 11*s**3/5 - 199*s**2/10 - 96*s/5 - 18/5 = 0. What is s?
-6, -2, -1, -1/4, 3
Factor -d**3/3 - 18*d**2 - 293*d/3 - 80.
-(d + 1)*(d + 5)*(d + 48)/3
Factor -a**4 - 30*a**3 - 57*a**2 - 28*a.
-a*(a + 1)**2*(a + 28)
Find