t -4*x**5 + 348*x**4 - 340*x**3 - 348*x**2 + 344*x = 0.
-1, 0, 1, 86
Factor -3*w**3 - 126*w**2 - 864*w - 1632.
-3*(w + 4)**2*(w + 34)
Suppose -3*w**2 - 57*w + 450 = 0. What is w?
-25, 6
Factor w**4/8 + w**3/4 + w**2/8.
w**2*(w + 1)**2/8
Let 2*r**4/5 + 3528*r**3/5 + 1410*r**2 + 3524*r/5 = 0. Calculate r.
-1762, -1, 0
Factor 2*q**2/17 + 80*q/17 + 78/17.
2*(q + 1)*(q + 39)/17
What is n in n**4 + 5*n**3 + 5*n**2 - 5*n - 6 = 0?
-3, -2, -1, 1
Factor 2*f**2/17 - 7924*f/17 + 7848722/17.
2*(f - 1981)**2/17
Suppose -12*u**5 - 52*u**4 + 292*u**3 - 444*u**2 + 280*u - 64 = 0. Calculate u.
-8, 2/3, 1
Solve -o**5/2 + o**3 - o/2 = 0.
-1, 0, 1
Determine i, given that -i**4/6 + 7*i**3/3 + 17*i**2/6 - 5*i = 0.
-2, 0, 1, 15
Solve -t**5/4 + 5*t**4/2 - 6*t**3 = 0 for t.
0, 4, 6
Factor -2*o**5/5 - 48*o**4/5 - 332*o**3/5 - 528*o**2/5 - 242*o/5.
-2*o*(o + 1)**2*(o + 11)**2/5
Find i, given that 125*i**5 + 150*i**4 - 1180*i**3 + 840*i**2 - 160*i = 0.
-4, 0, 2/5, 2
Determine g so that -85*g**5/6 - 107*g**4/3 - 59*g**3/2 - 26*g**2/3 - 2*g/3 = 0.
-1, -2/5, -2/17, 0
Find n, given that 2*n**4/5 + 6*n**3/5 - 2*n**2/5 - 6*n/5 = 0.
-3, -1, 0, 1
Factor -21*y**3 + 78*y**2 - 60*y - 24.
-3*(y - 2)**2*(7*y + 2)
Factor 3*q**4 - 6*q**3 - 12*q**2 + 24*q.
3*q*(q - 2)**2*(q + 2)
Let -5*f**3 - 16990*f**2 - 14433005*f = 0. Calculate f.
-1699, 0
Factor 2*n**3 + 118*n**2/3 + 74*n/3 - 38/3.
2*(n + 1)*(n + 19)*(3*n - 1)/3
Factor -i**2 + 48*i - 176.
-(i - 44)*(i - 4)
Find k such that -5*k**2 + 5600*k - 1568000 = 0.
560
What is m in -m**5/7 - 20*m**4/7 - 128*m**3/7 - 256*m**2/7 = 0?
-8, -4, 0
Factor 4*n**3 + 3920*n**2 - 4*n - 3920.
4*(n - 1)*(n + 1)*(n + 980)
Suppose 2*l**4 - 6*l**3 - 16*l**2 + 24*l + 32 = 0. What is l?
-2, -1, 2, 4
Factor -26*o**4/5 + 74*o**3/5 + 12*o**2/5.
-2*o**2*(o - 3)*(13*o + 2)/5
Factor a**2/5 + 124*a + 19220.
(a + 310)**2/5
Factor 4*m**3 - 396*m**2 + 3272*m - 2880.
4*(m - 90)*(m - 8)*(m - 1)
Suppose 273*i**4/4 - 543*i**3/8 - 3*i**2/8 = 0. What is i?
-1/182, 0, 1
Find p, given that -12*p**3 + 208*p**2 + 1252*p - 440 = 0.
-5, 1/3, 22
Solve 3*k**2/2 - 48*k + 234 = 0.
6, 26
Factor r**4/10 + 21*r**3/10 - 48*r**2/5 + 10*r.
r*(r - 2)**2*(r + 25)/10
Determine a so that 6*a**4/11 - 142*a**3/11 - 364*a**2/11 - 8*a/11 + 208/11 = 0.
-2, -1, 2/3, 26
Find h such that -6*h**2/5 + 3531*h/5 + 1767/5 = 0.
-1/2, 589
Determine n so that 8*n**5/19 - 6*n**4/19 - 34*n**3/19 + 24*n**2/19 + 8*n/19 = 0.
-2, -1/4, 0, 1, 2
Solve 20*z**2 - 1145*z - 870 = 0.
-3/4, 58
Let 3*x**3/2 - 9*x**2 - 21*x/2 = 0. Calculate x.
-1, 0, 7
Find o such that 45*o**2 + 595*o + 130 = 0.
-13, -2/9
Factor -s**4/2 + 839*s**3/2 - 2511*s**2/2 + 2509*s/2 - 418.
-(s - 836)*(s - 1)**3/2
Find p, given that -5*p**3/3 - 440*p**2 - 29900*p - 338000/3 = 0.
-130, -4
Determine z so that 3*z**2 - 69*z - 2040 = 0.
-17, 40
Let r**5/7 + 3*r**4/7 - r**3 - r**2 + 18*r/7 - 8/7 = 0. What is r?
-4, -2, 1
Suppose 2*a**4 + 36*a**3 + 202*a**2 + 264*a - 504 = 0. Calculate a.
-7, -6, 1
Find j, given that 2*j**4/9 - 2*j**3/3 - 10*j**2 - 154*j/9 - 8 = 0.
-4, -1, 9
Determine m so that 3*m**5/7 + 18*m**4/7 + 6*m**3 + 48*m**2/7 + 27*m/7 + 6/7 = 0.
-2, -1
Let -4*y**4 - 104*y**3 - 368*y**2 - 352*y = 0. What is y?
-22, -2, 0
Let -j**4/9 + 10*j**3/9 - 8*j**2/3 - 10*j/9 + 25/9 = 0. Calculate j.
-1, 1, 5
Factor i**3 - 21*i**2 - 16*i + 336.
(i - 21)*(i - 4)*(i + 4)
Factor 4*z**3/7 + 188*z**2/7 + 292*z + 924.
4*(z + 7)**2*(z + 33)/7
Solve 2*r**4/13 + 8*r**3/13 - 76*r**2/13 + 120*r/13 - 54/13 = 0 for r.
-9, 1, 3
Let -24*s**5/5 - 1134*s**4/5 - 6402*s**3/5 - 10386*s**2/5 - 2214*s/5 = 0. What is s?
-41, -3, -1/4, 0
Determine z, given that 14*z**4 + 36*z**3 - 32*z**2 - 36*z + 18 = 0.
-3, -1, 3/7, 1
Determine j so that -4*j**3/7 - 300*j**2/7 - 4800*j/7 + 32000/7 = 0.
-40, 5
Suppose 9*t**4/4 + 285*t**3/4 + 2829*t**2/4 + 8151*t/4 - 1521/2 = 0. What is t?
-13, -6, 1/3
Find s, given that 1168128*s**4 + 1171872*s**3 + 3747*s**2 + 3*s = 0.
-1, -1/624, 0
Find i such that -2*i**2/7 - 54*i/7 - 184/7 = 0.
-23, -4
Solve -5*u**5 - 55*u**4 - 40*u**3 + 100*u**2 = 0 for u.
-10, -2, 0, 1
Solve h**4/6 - h**3/2 - 5*h**2/6 + h/2 + 2/3 = 0 for h.
-1, 1, 4
Factor 4*n**4/5 + 12*n**3/5 + 12*n**2/5 + 4*n/5.
4*n*(n + 1)**3/5
Let -p**4/4 - p**3/4 + 19*p**2/4 + 49*p/4 + 15/2 = 0. What is p?
-3, -2, -1, 5
Suppose 2*w**3/23 - 12*w**2/23 + 10*w/23 = 0. What is w?
0, 1, 5
What is g in -g**2 + 28*g = 0?
0, 28
Let 4*f**4 - 36*f**3 + 68*f**2 + 36*f - 72 = 0. What is f?
-1, 1, 3, 6
Factor -3*s**3 - 6*s**2 + 45*s.
-3*s*(s - 3)*(s + 5)
Determine s, given that 49*s**4/4 + 56*s**3 - 129*s**2/4 - 31*s - 5 = 0.
-5, -2/7, 1
Factor -i**5/3 + 2*i**4/3 + 2*i**3 - 4*i**2/3 - 13*i/3 - 2.
-(i - 3)*(i - 2)*(i + 1)**3/3
Find b, given that -3*b**4 - 42*b**3 + 48*b**2 + 42*b - 45 = 0.
-15, -1, 1
Suppose -z**4/5 - 8*z**3/5 - 18*z**2/5 + 27/5 = 0. What is z?
-3, 1
Suppose -5*p**4 + 45*p**3 - 105*p**2 + 95*p - 30 = 0. Calculate p.
1, 6
Let -r**4/5 + 13*r**3/5 + 3*r**2/5 - 37*r/5 - 26/5 = 0. What is r?
-1, 2, 13
Factor 122*h**4/15 + 242*h**3/15 - 4*h**2/15.
2*h**2*(h + 2)*(61*h - 1)/15
Factor -1682*h**4/11 + 232*h**3 - 88*h**2.
-2*h**2*(29*h - 22)**2/11
Let 4*u**5 + 126*u**4 + 804*u**3 - 3280*u**2 - 2856*u + 5202 = 0. What is u?
-17, -3/2, 1, 3
Factor -4*s**4 + 116*s**3 + 792*s**2 + 1648*s + 1120.
-4*(s - 35)*(s + 2)**3
Factor -11*f**3/8 - 14*f**2 - 119*f/8 - 9/4.
-(f + 1)*(f + 9)*(11*f + 2)/8
Solve w**4/7 - 9*w**3/7 - 36*w**2/7 = 0 for w.
-3, 0, 12
Factor -2*l**5/13 - 18*l**4/13 - 30*l**3/13 + 50*l**2/13.
-2*l**2*(l - 1)*(l + 5)**2/13
Suppose 3*d**3 + 9*d**2 - 48*d + 36 = 0. What is d?
-6, 1, 2
Solve g**3/7 - 78*g**2/7 + 1056*g/7 + 19360/7 = 0 for g.
-10, 44
Factor -k**4/4 + 11*k**3/4 + 13*k**2/4 - 11*k/4 - 3.
-(k - 12)*(k - 1)*(k + 1)**2/4
What is p in -546*p**5/5 + 128*p**4/5 + 4922*p**3/5 - 1152*p**2/5 - 72*p/5 = 0?
-3, -2/39, 0, 2/7, 3
Factor -162*q**3 - 3420*q**2 + 3136*q - 704.
-2*(q + 22)*(9*q - 4)**2
Let -723243*t**2 - 14730*t - 75 = 0. What is t?
-5/491
Determine i, given that i**2 - 49*i = 0.
0, 49
Factor 2*l**4 + 32*l**3 + 130*l**2 + 100*l.
2*l*(l + 1)*(l + 5)*(l + 10)
Let -2*v**4/5 + 8*v**3/5 - 6*v**2/5 = 0. Calculate v.
0, 1, 3
Solve 2*m**2/7 - 32*m/7 + 30/7 = 0.
1, 15
Let -2*k**5 - 74*k**4 - 838*k**3 - 2734*k**2 - 960*k + 4608 = 0. What is k?
-16, -3, 1
Suppose -4*o**4 - 12*o**3 + 16*o**2 + 48*o = 0. What is o?
-3, -2, 0, 2
Determine f so that -f**3 - 25*f**2 + f + 25 = 0.
-25, -1, 1
Factor 7*m**4 + 39*m**3 - 340*m**2 - 2244*m - 1872.
(m + 1)*(m + 6)**2*(7*m - 52)
Determine d, given that 2*d**2 + 132*d = 0.
-66, 0
Factor m**5 - 2*m**4 - m**3 + 2*m**2.
m**2*(m - 2)*(m - 1)*(m + 1)
Factor -2*n**3/5 - 1096*n**2/5 + 4408*n/5 - 4416/5.
-2*(n - 2)**2*(n + 552)/5
Let -2*r**2/11 - 92*r/11 - 1008/11 = 0. Calculate r.
-28, -18
Factor 2*q**3/3 + 20*q**2/3 + 46*q/3 + 28/3.
2*(q + 1)*(q + 2)*(q + 7)/3
Let -2*y**3 - 22*y**2 + 2*y + 22 = 0. What is y?
-11, -1, 1
Solve -12*s**3/5 - 304*s**2 - 988*s/5 + 504 = 0 for s.
-126, -5/3, 1
Suppose 6*c**2 - 140*c - 96 = 0. What is c?
-2/3, 24
Solve -3*h**3/2 - 381*h**2/2 + 780*h - 786 = 0.
-131, 2
Let -3*q**4 + 9*q**3 + 102*q**2 - 324*q + 216 = 0. Calculate q.
-6, 1, 2, 6
Suppose g**5/6 - 8*g**4/3 + 2*g**3 + 25*g**2/3 - 77*g/6 + 5 = 0. Calculate g.
-2, 1, 15
Factor 6*f**2/7 - 22*f/7 - 8/7.
2*(f - 4)*(3*f + 1)/7
Factor 2*t**3/7 - 6*t**2 + 78*t/7 - 38/7.
2*(t - 19)*(t - 1)**2/7
Factor 2*n**2 + 2644*n/11 + 480/11.
2*(n + 120)*(11*n + 2)/11
What is f in -f**5/5 - 8*f**4/5 - 4*f**3/5 + 26*f**2/5 + 37*f/5 + 14/5 = 0?
-7, -1, 2
Determine a, given that -4*a**3 - 572*a**2 - 560*a + 1136 = 0.
-142, -2, 1
Factor 4*k**2 + 72*k - 76.
4*(k - 1)*(k + 19)
Solve -3*o**5/2 - 60*o**4 + 66*o**3 + 183*o**2 - 129*o/2 - 123 = 0.
-41, -1, 1, 2
Factor -15*b**3 + 186*b**2 - 72*b.
-3*b*(b - 12)*(5*b - 2)
Let 5*p**3 - 620*p**2 + 14145*p + 333270 = 0. What is p?
-14, 69
Factor -p**2/2 + 35*p/2 + 57.
-(p - 38)*(p + 3)/2
Factor -n**4/5 + n**3 - 3*n**2/5 - n + 4/5.
-(n - 4)*(n - 1)**2*(n + 1)/5
Factor 4*y**3/7 + 64*y**2/7 - 20*y + 72/7.
4*(y - 1)**2*(y + 18)/7
Solve -2*y**5/13 - 36*y**4/13 - 240*y**3/13 - 736*y**2/13 - 1056*y/13 - 576/13 = 0 for y.
-6, -2
Solve -a**5 - 34*a**4 - 144*a**3 + 46*a**2 + 481*a - 348 = 0.
-29, -4, -3, 1
Factor -2*j**5 + 1080*j**4 - 2154*j**3 + 1076*j**2.
-2*j**2*(j - 538)*(j - 1)**