114*y - 116.
2*(y - 58)*(y + 1)
Suppose 72*c**4 - 120*c**3 - 22*c**2 + 120*c - 50 = 0. What is c?
-1, 5/6, 1
Suppose 7*x**3/3 + 94*x**2 + 204*x + 152/3 = 0. Calculate x.
-38, -2, -2/7
Factor -2*g**2/17 + 806*g/17 - 804/17.
-2*(g - 402)*(g - 1)/17
Find j such that 22*j**4/7 + 1028*j**3/7 + 730*j**2/7 - 276*j/7 = 0.
-46, -1, 0, 3/11
Factor 93*b**3 - 374*b**2 - 1108*b + 24.
(b - 6)*(b + 2)*(93*b - 2)
Factor x**3/7 + 271*x**2/7 - 545*x/7 + 39.
(x - 1)**2*(x + 273)/7
Factor 5*b**3 - 315*b**2 - 1340*b.
5*b*(b - 67)*(b + 4)
Determine v, given that -v**5 + 17*v**4 - 68*v**3 - 80*v**2 + 672*v - 720 = 0.
-3, 2, 6, 10
Suppose 4*s**4 + 84*s**3 + 640*s**2 + 2112*s + 2560 = 0. Calculate s.
-8, -5, -4
Let -5*w**5/2 + 25*w**4/2 - 45*w**3/2 + 35*w**2/2 - 5*w = 0. What is w?
0, 1, 2
Suppose 58*k**3/5 - 128*k**2/5 + 82*k/5 - 12/5 = 0. Calculate k.
6/29, 1
Let -h**5/5 - 51*h**4/5 - 236*h**3/5 - 272*h**2/5 + 192*h/5 + 368/5 = 0. Calculate h.
-46, -2, 1
Solve -2*a**2/5 - 2356*a/5 - 693842/5 = 0 for a.
-589
Factor -4*o**4 + 32*o**3 - 8*o**2 - 320*o + 300.
-4*(o - 5)**2*(o - 1)*(o + 3)
Factor -4259200*j**5 - 5943520*j**4 - 1391368*j**3 + 463878*j**2 - 35856*j + 864.
-2*(5*j + 4)**2*(44*j - 3)**3
Determine z, given that 3*z**4/5 - 3*z**3/5 - 6*z**2/5 = 0.
-1, 0, 2
Factor 2*i**3/25 - 312*i**2/25 + 1224*i/25 - 1216/25.
2*(i - 152)*(i - 2)**2/25
Find i, given that -5*i**3/11 - 8*i**2/11 + 5*i/11 + 8/11 = 0.
-8/5, -1, 1
Factor 3*i**3 + 87*i**2 - 972*i + 2052.
3*(i - 6)*(i - 3)*(i + 38)
Solve 140*w**5 - 435*w**4 - 935*w**3 + 2205*w**2 + 2295*w - 270 = 0.
-2, -1, 3/28, 3
What is g in 3*g**2 + 66*g - 312 = 0?
-26, 4
Determine c, given that 4*c**3 - 22128*c**2 + 40804032*c - 25080878336 = 0.
1844
Let 5*b**2 - 270*b + 265 = 0. What is b?
1, 53
Factor -5*c**4 - 50*c**3.
-5*c**3*(c + 10)
Suppose 2*i**4/7 - 88*i**3/7 - 2*i**2 + 604*i/7 + 528/7 = 0. Calculate i.
-2, -1, 3, 44
Factor -4*r**4 + 1524*r**3.
-4*r**3*(r - 381)
Determine h so that -4*h**2 - 116*h + 528 = 0.
-33, 4
Solve 4*l**2 - 60*l - 216 = 0.
-3, 18
Suppose -14*b**4/3 + 94*b**3/3 + 14*b**2 - 94*b/3 - 28/3 = 0. What is b?
-1, -2/7, 1, 7
Factor -4*c**4 - 2164*c**3 - 291597*c**2 + 293222*c - 73441.
-(c + 271)**2*(2*c - 1)**2
Determine s so that -s**3/2 - 3*s**2/2 = 0.
-3, 0
Suppose -4*q**4/7 + 73*q**3/7 - 198*q**2/7 + 45*q/7 = 0. Calculate q.
0, 1/4, 3, 15
Let -6*p**4 + 249*p**3/2 + 903*p**2/2 + 393*p + 72 = 0. What is p?
-2, -1, -1/4, 24
Factor -3*p**4/2 - 39*p**3/2 - 141*p**2/2 - 105*p/2.
-3*p*(p + 1)*(p + 5)*(p + 7)/2
Determine i, given that -3*i**2/5 + 234*i/5 - 408 = 0.
10, 68
Factor -2*s**3/9 + 62*s**2/9 + 272*s/9 + 280/9.
-2*(s - 35)*(s + 2)**2/9
Let -57*y**2/4 + 3*y/4 = 0. Calculate y.
0, 1/19
Factor -2*q**2/9 - 4544*q/9 - 2580992/9.
-2*(q + 1136)**2/9
Factor 2*k**4/9 + 4*k**3/9 - 4*k/9 - 2/9.
2*(k - 1)*(k + 1)**3/9
Determine v, given that -3*v**5/4 - 2841*v**4/4 - 167796*v**3 + 168507*v**2 = 0.
-474, 0, 1
Solve 2*d**5/3 - 8*d**4/3 + 2*d**3/3 + 20*d**2/3 - 8*d/3 - 16/3 = 0.
-1, 2
Factor 1080*x**5 - 9180*x**4 + 11970*x**3 - 4505*x**2 + 670*x - 35.
5*(x - 7)*(x - 1)*(6*x - 1)**3
Find n, given that 3*n**2 - 18*n + 24 = 0.
2, 4
Suppose 722*c**3/15 + 2774*c**2/15 + 1952*c/15 + 128/5 = 0. Calculate c.
-3, -8/19
Factor -2*k**2/5 + 194*k/5 + 120.
-2*(k - 100)*(k + 3)/5
Factor 3*j**2 + 25962*j + 56168787.
3*(j + 4327)**2
Factor -s**2 - 8492*s - 18028516.
-(s + 4246)**2
Let -4*q**4 - 4*q**3 + 16*q**2 + 16*q = 0. Calculate q.
-2, -1, 0, 2
Let 3*b**2 + 1884*b = 0. Calculate b.
-628, 0
Suppose -2*p**5/9 + 40*p**4/9 - 70*p**3/9 - 40*p**2/9 + 8*p = 0. Calculate p.
-1, 0, 1, 2, 18
What is i in -3*i**5 + 105*i**4 + 15*i**3 - 525*i**2 - 12*i + 420 = 0?
-2, -1, 1, 2, 35
Find n such that 5*n**3 + 2445*n**2 + 19320*n + 38480 = 0.
-481, -4
Solve -4*r**2 + 12*r + 720 = 0 for r.
-12, 15
Factor -4*m**4 + 68*m**3 + 580*m**2 - 644*m.
-4*m*(m - 23)*(m - 1)*(m + 7)
Factor i**3/7 - 340*i**2/7 + 677*i/7 - 338/7.
(i - 338)*(i - 1)**2/7
Factor -2*i**2 + 18*i.
-2*i*(i - 9)
Find l such that -2*l**4/21 - 2*l**3/3 + 50*l**2/7 - 14*l/3 - 260/21 = 0.
-13, -1, 2, 5
Suppose -16*w**5 - 92*w**4 + 24*w**3 = 0. What is w?
-6, 0, 1/4
Factor 3*g**5/8 + 735*g**4/2 + 729075*g**3/8 + 2152065*g**2/4 + 2140365*g/2 + 711507.
3*(g + 2)**3*(g + 487)**2/8
Factor -5*w**3 + 515*w**2 - 4930*w - 11960.
-5*(w - 92)*(w - 13)*(w + 2)
Determine z, given that -3*z**5/4 + 15*z**4/4 + 21*z**3/4 - 15*z**2/4 - 9*z/2 = 0.
-1, 0, 1, 6
Find f such that -f**5 - 666*f**4 - 110889*f**3 = 0.
-333, 0
Solve 4*d**2/3 + 1258*d/3 - 632 = 0.
-316, 3/2
Determine q so that 18*q**4 + 96*q**3 + 74*q**2 - 84*q + 16 = 0.
-4, -2, 1/3
Determine h so that h**4 + 1086*h**3 - 2175*h**2 + 1088*h = 0.
-1088, 0, 1
Let n**2/7 + 17*n/7 + 30/7 = 0. What is n?
-15, -2
Suppose -2*h**2/5 - 26*h/5 - 12 = 0. Calculate h.
-10, -3
Determine z so that 3*z**3/5 - 18*z**2/5 - 108*z/5 - 24 = 0.
-2, 10
Solve -5*d**3 + 660*d**2 + 12665*d = 0.
-17, 0, 149
Suppose -4*d**3/7 - 232*d**2 + 3260*d/7 - 1632/7 = 0. What is d?
-408, 1
Let -s**3/5 + 4*s**2 - 107*s/5 + 88/5 = 0. Calculate s.
1, 8, 11
Suppose i**4/5 + 179*i**3/5 + 10797*i**2/5 + 45253*i + 410758/5 = 0. Calculate i.
-59, -2
Find f such that -f**3/2 + 113*f**2 + 229*f/2 - 227 = 0.
-2, 1, 227
Factor -2*p**3/3 - 32*p**2/3 + 2*p/3 + 32/3.
-2*(p - 1)*(p + 1)*(p + 16)/3
Let 8*y**4 + 6*y**3 - 24*y**2 - 2*y + 12 = 0. Calculate y.
-2, -3/4, 1
Factor 3*r**3 - 63*r**2 + 405*r - 825.
3*(r - 11)*(r - 5)**2
Solve 3*k**3/7 + 127*k**2/7 + 40*k/7 - 12 = 0 for k.
-42, -1, 2/3
Factor -5*g**5 - 10*g**4 + 30*g**3 + 100*g**2 + 95*g + 30.
-5*(g - 3)*(g + 1)**3*(g + 2)
Determine l, given that 4*l**3 - 104*l**2 - 1588*l - 1480 = 0.
-10, -1, 37
Suppose -15*l**3 + 9*l**2 + 42*l = 0. What is l?
-7/5, 0, 2
Factor -k**4/3 + 32*k**3/3 - 46*k**2 - 1976*k/3 - 1805/3.
-(k - 19)**2*(k + 1)*(k + 5)/3
Let 4*m**2/3 - 80*m/3 - 28 = 0. What is m?
-1, 21
Factor 3*m**5 - 438*m**4 + 15987*m**3.
3*m**3*(m - 73)**2
Factor -h**3/2 - 1647*h**2 - 1808406*h - 661876596.
-(h + 1098)**3/2
Let 2*z**2/7 - 164*z/7 + 162/7 = 0. What is z?
1, 81
Factor -3*n**3/7 + 12*n**2/7 + 36*n/7.
-3*n*(n - 6)*(n + 2)/7
Factor 4*m**3 + 2364*m**2 + 465708*m + 30581492.
4*(m + 197)**3
Let 5*g**2/2 - 24520*g + 60123040 = 0. Calculate g.
4904
Factor -3*c**4 - 27*c**3 + 75*c**2 + 99*c.
-3*c*(c - 3)*(c + 1)*(c + 11)
Suppose 3*a**5 + 24*a**4 + 51*a**3 - 6*a**2 - 72*a = 0. Calculate a.
-4, -3, -2, 0, 1
Let m**4 + 4*m**3 - 21*m**2 - 104*m - 80 = 0. What is m?
-4, -1, 5
Factor 2*u**4/5 - 42*u**3/5 - 368*u**2/5 - 672*u/5.
2*u*(u - 28)*(u + 3)*(u + 4)/5
Factor -2*n**4 + 20*n**3 + 56*n**2 - 80*n - 192.
-2*(n - 12)*(n - 2)*(n + 2)**2
Solve -5*u**3 - 130*u**2 + 275*u - 140 = 0.
-28, 1
Solve 722*u**5/9 - 8398*u**4/9 + 28192*u**3/9 - 35600*u**2/9 + 5024*u/3 - 224 = 0.
6/19, 2, 7
What is j in -3*j**5 - 39*j**4 - 105*j**3 + 147*j**2 = 0?
-7, 0, 1
Solve -3*w**2 - 6*w - 3 = 0.
-1
Factor -45*n**3 - 280*n**2 - 425*n - 190.
-5*(n + 1)**2*(9*n + 38)
Solve -729*w**4/2 + 10449*w**3/2 + 3591*w**2 + 806*w + 60 = 0 for w.
-2/9, 15
Suppose 26*i**2/5 + 34*i/5 + 8/5 = 0. What is i?
-1, -4/13
Factor 4*n**4 + 176*n**3 - 756*n**2 + 576*n.
4*n*(n - 3)*(n - 1)*(n + 48)
Factor -v**3/2 + 33*v**2/2 + 35*v.
-v*(v - 35)*(v + 2)/2
Determine v so that -35*v**4/3 - 593*v**3/12 - 153*v**2/4 + 13*v/6 + 8/3 = 0.
-16/5, -1, -2/7, 1/4
Suppose -2*s**5/11 - 510*s**4/11 + 12*s**3/11 + 3044*s**2/11 - 4074*s/11 + 1530/11 = 0. Calculate s.
-255, -3, 1
Let 3*y**5/4 + 9*y**4/2 + 15*y**3/4 - 9*y**2 = 0. Calculate y.
-4, -3, 0, 1
Suppose -o**2 + 101*o - 1218 = 0. What is o?
14, 87
Solve 42849*z**2/2 - 1656*z + 32 = 0.
8/207
What is v in v**2 - 33*v - 70 = 0?
-2, 35
Suppose -m**5 - 163*m**4 - 7522*m**3 - 7198*m**2 + 4327523*m - 4312639 = 0. What is m?
-61, 1, 19
Factor 2*x**4/3 + 64*x**3/3 + 60*x**2 + 176*x/3 + 58/3.
2*(x + 1)**3*(x + 29)/3
Factor -2*z**2/25 + 34*z/25 - 32/25.
-2*(z - 16)*(z - 1)/25
Factor 4*z**3 - 160*z**2 - 164*z.
4*z*(z - 41)*(z + 1)
Suppose f**2/3 - 259*f/3 - 174 = 0. Calculate f.
-2, 261
Solve -y**5/3 - 11*y**4/6 - 4*y**3/3 + 19*y**2/6 + 5*y/3 - 4/3 = 0.
-4, -2, -1, 1/2, 1
Factor i**4/8 + 3*i**3/8 - i/2.
i*(i - 1)*(i + 2)**2/8
Factor 4*i**2 + 8*i - 60.
4*(i - 3)*(i + 5)
Factor -2*h**4 - 64*h**3 - 232*h**2 - 224*h.
-2*h*(h + 2)**2*(h + 28)
Determine b, given that b**2/3 + 7