**2 + 10*r = 0. What is r?
-1, -1/2, 0, 2/13, 1/3
Let -40*t**5 + 272*t**4 + 50*t**3 - 340*t**2 - 10*t + 68 = 0. Calculate t.
-1, -1/2, 1/2, 1, 34/5
Determine v so that 15*v**3/2 - 81*v**2/2 + 60*v - 18 = 0.
2/5, 2, 3
Solve s**5/3 + 3*s**4 - 64*s**3/3 + 88*s**2/3 + 16*s - 112/3 = 0.
-14, -1, 2
Factor a**4 + 13*a**3 + 39*a**2 + 27*a.
a*(a + 1)*(a + 3)*(a + 9)
Factor -s**5 + 17*s**3 + 36*s**2 + 20*s.
-s*(s - 5)*(s + 1)*(s + 2)**2
Determine h, given that -5*h**4 + 455*h**3 + 1955*h**2 - 5255*h + 2850 = 0.
-6, 1, 95
Let -3*m**3 - 21*m**2/2 + 42*m + 99/2 = 0. Calculate m.
-11/2, -1, 3
Find t, given that -t**5 + 6*t**4 - 8*t**3 = 0.
0, 2, 4
Factor -1352*l**2/3 - 104*l/3 - 2/3.
-2*(26*l + 1)**2/3
Factor 2*s**4/3 + 8*s**3 + 86*s**2/3 + 40*s + 56/3.
2*(s + 1)*(s + 2)**2*(s + 7)/3
Factor 5*j**4 - 90*j**3 + 235*j**2 - 150*j.
5*j*(j - 15)*(j - 2)*(j - 1)
Factor -2*d**2 + 22*d - 20.
-2*(d - 10)*(d - 1)
Factor -8*c**3/3 + 22*c**2 - 48*c + 32/3.
-2*(c - 4)**2*(4*c - 1)/3
Factor i**2/4 + i/4 - 1/2.
(i - 1)*(i + 2)/4
Factor u**5/3 - 2*u**4/3 - 4*u**3/3 + 2*u**2/3 + u.
u*(u - 3)*(u - 1)*(u + 1)**2/3
Factor 5*y**3 - 125*y**2 + 1035*y - 2835.
5*(y - 9)**2*(y - 7)
Factor -p**3 + 8*p**2 + 13*p - 140.
-(p - 7)*(p - 5)*(p + 4)
Solve -5*w**5/3 - 50*w**4 - 400*w**3/3 + 50*w**2 + 135*w = 0.
-27, -3, -1, 0, 1
Find u such that 7*u**4 - 54*u**3 - 68*u**2 + 54*u + 61 = 0.
-1, 1, 61/7
Factor p**2 + 193*p + 192.
(p + 1)*(p + 192)
Determine c, given that 16*c**4 + 488*c**3 + 1137*c**2 + 478*c + 56 = 0.
-28, -2, -1/4
Factor 5*g**2 - 150*g - 155.
5*(g - 31)*(g + 1)
Find d, given that 20*d**2 + 272*d/3 + 304/3 = 0.
-38/15, -2
Factor 5*m**3 - 60*m**2 + 160*m.
5*m*(m - 8)*(m - 4)
Factor 4*w**2/5 - 84*w/5 + 152/5.
4*(w - 19)*(w - 2)/5
Suppose -s**3/3 + 94*s**2/3 - 2209*s/3 = 0. Calculate s.
0, 47
Find l, given that -9*l**5/2 - 147*l**4 - 2017*l**3/2 + 3814*l**2 + 10088*l + 5408 = 0.
-52/3, -1, 4
Factor -s**3/3 - 8*s**2/3 - 13*s/3 - 2.
-(s + 1)**2*(s + 6)/3
Solve -v**2 - 1496*v - 559504 = 0 for v.
-748
Let 2*n**5/9 - 32*n**3/9 - 4*n**2/3 + 14*n + 12 = 0. Calculate n.
-3, -2, -1, 3
Solve 10*o**2 + 214*o + 552 = 0.
-92/5, -3
Factor 2*h**2/13 - 54*h/13 - 116/13.
2*(h - 29)*(h + 2)/13
Suppose -x**5 - 62*x**4/3 - 95*x**3 - 154*x**2 - 172*x/3 + 40 = 0. Calculate x.
-15, -2, 1/3
Solve 6*k**5 + 22*k**4 - 30*k**3 - 118*k**2 + 48*k + 72 = 0.
-3, -2/3, 1, 2
Suppose -q**2 - 27*q + 28 = 0. Calculate q.
-28, 1
Determine v, given that 2*v**5 - 4*v**4 - 6*v**3 + 16*v**2 - 8*v = 0.
-2, 0, 1, 2
Factor x**4 + 189*x**3/4 - 345*x**2/4 - 49*x/2.
x*(x - 2)*(x + 49)*(4*x + 1)/4
Find z, given that -4*z**2/5 - 64*z/5 - 256/5 = 0.
-8
What is u in -4*u**3 + 2048*u**2 - 2036*u - 4088 = 0?
-1, 2, 511
Factor -2*g**3/19 + 248*g**2/19 - 7688*g/19.
-2*g*(g - 62)**2/19
Factor -24*b**3 - 596*b**2 - 572*b.
-4*b*(b + 1)*(6*b + 143)
Factor r**3/5 - 552*r**2/5 + 1649*r/5 - 1098/5.
(r - 549)*(r - 2)*(r - 1)/5
Factor 2*p**3/11 - 86*p**2/11 + 966*p/11 - 882/11.
2*(p - 21)**2*(p - 1)/11
Factor -4*l**2 - 15*l + 19.
-(l - 1)*(4*l + 19)
Let 2*k**2/15 + 28*k/15 + 98/15 = 0. What is k?
-7
Factor 847*j**3/2 + 844*j**2 + 835*j/2 - 3.
(j + 1)**2*(847*j - 6)/2
Let -5*l**2 - 1680*l + 3380 = 0. What is l?
-338, 2
Suppose -2*w**3/7 - 66*w**2/7 + 72*w/7 + 136/7 = 0. What is w?
-34, -1, 2
Factor 2*y**2/9 + 4*y/3 + 10/9.
2*(y + 1)*(y + 5)/9
Factor -2*f**5/3 - 4*f**4 - 28*f**3/3 - 32*f**2/3 - 6*f - 4/3.
-2*(f + 1)**4*(f + 2)/3
Suppose -9*y**2 + 3495*y - 1164 = 0. What is y?
1/3, 388
Factor -2*x**5 - 64*x**4 - 512*x**3.
-2*x**3*(x + 16)**2
Suppose -2*l**2/7 + 114*l/7 - 220/7 = 0. Calculate l.
2, 55
Let 12*b**5 + 28*b**4 - 216*b**3 + 272*b**2 - 96*b = 0. What is b?
-6, 0, 2/3, 1, 2
Factor -25*d**2 - 9995*d + 2000.
-5*(d + 400)*(5*d - 1)
Solve -2*v**4/3 - 10*v**3/3 - 2*v**2 + 6*v = 0.
-3, 0, 1
Find a such that a**5/9 + 16*a**4/9 + 88*a**3/9 + 64*a**2/3 + 16*a = 0.
-6, -2, 0
Suppose -3*p**3/8 - 393*p**2/8 - 1845*p - 14850 = 0. Calculate p.
-60, -11
Determine n so that 2*n**5/9 - 20*n**4/9 + 10*n**3/3 + 140*n**2/9 - 440*n/9 + 112/3 = 0.
-3, 2, 7
Factor 2*g**4/5 + 12*g**3/5 - 2*g**2/5 - 12*g/5.
2*g*(g - 1)*(g + 1)*(g + 6)/5
Solve -5*f**4/4 - 15*f**3/2 - 10*f**2 + 15*f/2 + 45/4 = 0 for f.
-3, -1, 1
Factor -c**3 - 6*c**2 + 135*c.
-c*(c - 9)*(c + 15)
Suppose d**3/4 - 4*d**2 + 7*d = 0. What is d?
0, 2, 14
Let -3*f**2 + 288*f - 6912 = 0. What is f?
48
Let 2*u**3/23 + 2*u**2/23 - 2*u/23 - 2/23 = 0. What is u?
-1, 1
Find n, given that -2*n**2/5 + 76*n/5 - 42 = 0.
3, 35
Find d such that d**2/9 + 25*d/3 - 76/9 = 0.
-76, 1
Suppose 5*q**5 + 5*q**4 - 30*q**3 = 0. Calculate q.
-3, 0, 2
Factor 3*z**2/2 - 354*z + 702.
3*(z - 234)*(z - 2)/2
Factor -4*h**3/9 + 22*h**2/9 + 4*h/3.
-2*h*(h - 6)*(2*h + 1)/9
What is x in 3*x**4/2 + 417*x**3/2 + 411*x**2/2 - 417*x/2 - 207 = 0?
-138, -1, 1
Factor h**4/7 + 1406*h**3/7 + 494209*h**2/7.
h**2*(h + 703)**2/7
What is x in -2*x**5/9 - 10*x**4/3 - 50*x**3/3 - 290*x**2/9 - 80*x/3 - 8 = 0?
-6, -1
Find f, given that -2*f**5 + 9*f**4 - f**3 - 13*f**2 + 3*f + 4 = 0.
-1, -1/2, 1, 4
Find d such that -2*d**2/15 + 8*d/5 - 18/5 = 0.
3, 9
Factor n**2/6 - 13*n.
n*(n - 78)/6
Solve -x**4/5 + 48*x**3/5 - 832*x**2/5 + 6144*x/5 - 16384/5 = 0 for x.
8, 16
Let -4*f**3 + 36*f = 0. Calculate f.
-3, 0, 3
Solve -2*g**3/7 + 52*g**2/7 + 234*g/7 + 180/7 = 0.
-3, -1, 30
Solve -3*m**4/7 + 9*m**3/7 - 6*m**2/7 = 0 for m.
0, 1, 2
Factor 4*g**2 - 6736*g - 6740.
4*(g - 1685)*(g + 1)
What is q in -2*q**3/5 + 4*q**2/5 + 6*q/5 = 0?
-1, 0, 3
Suppose d**4/2 - 59*d**3/4 - 79*d**2/2 - 16*d = 0. What is d?
-2, -1/2, 0, 32
Find c such that 21*c**3 + 372*c**2 - 507*c + 114 = 0.
-19, 2/7, 1
Let 12*u**5 + 63*u**4 + 75*u**3 - 45*u**2 - 87*u - 18 = 0. What is u?
-3, -2, -1, -1/4, 1
What is d in -3*d**2 + 90*d - 675 = 0?
15
What is x in 18*x**4/5 - 386*x**3/5 + 2814*x**2/5 - 1470*x + 2744/5 = 0?
4/9, 7
Factor -13*n**4 + 56*n**3 - 81*n**2 + 46*n - 8.
-(n - 2)*(n - 1)**2*(13*n - 4)
Factor 2*x**2/5 + 882*x/5 - 884/5.
2*(x - 1)*(x + 442)/5
Suppose -2*h**4 + 6*h**2 - 4*h = 0. Calculate h.
-2, 0, 1
What is v in 5*v**4 - 975*v**3 - 14385*v**2 - 51205*v = 0?
-7, 0, 209
Factor 5*g**3 - 15*g - 10.
5*(g - 2)*(g + 1)**2
Factor -4*o**2 + 4*o + 624.
-4*(o - 13)*(o + 12)
Factor 4*i**3 + 808*i**2 + 4740*i + 7056.
4*(i + 3)**2*(i + 196)
Factor 10*a**2/7 + 188*a/7 - 38/7.
2*(a + 19)*(5*a - 1)/7
Suppose -2*b**3 - 28*b**2 - 120*b - 144 = 0. Calculate b.
-6, -2
Factor -5*t**3 + 50*t**2.
-5*t**2*(t - 10)
Solve -3*t**5 + 132*t**4 - 2172*t**3 + 15840*t**2 - 43200*t = 0 for t.
0, 10, 12
Suppose z**3 + 100*z**2 - 203*z + 102 = 0. What is z?
-102, 1
Determine x so that -x**2/8 + 13*x/8 - 11/4 = 0.
2, 11
Find j, given that -j**5/8 + 4*j**4 + 99*j**3 + 648*j**2 + 1350*j = 0.
-6, 0, 50
Suppose -15*s**5 - 43*s**4/2 + 31*s**3 + 39*s**2/2 - 16*s + 2 = 0. What is s?
-2, -1, 1/6, 2/5, 1
Solve -9*i**5/4 - 40*i**4 - 207*i**3 - 240*i**2 + 64*i = 0 for i.
-8, -2, 0, 2/9
Factor 3*h**5 + 105*h**4 - 222*h**3 + 6*h**2 + 219*h - 111.
3*(h - 1)**3*(h + 1)*(h + 37)
Solve -c**5 - 213*c**4/5 - 1649*c**3/5 - 2151*c**2/5 - 182*c/5 + 528/5 = 0 for c.
-33, -8, -1, 2/5
Determine c, given that 3*c**4 + 2511*c**3 + 703062*c**2 + 66541524*c + 193364568 = 0.
-278, -3
Suppose 18*p**3/5 - 446*p**2/5 - 568*p/5 - 104/5 = 0. Calculate p.
-1, -2/9, 26
Determine c so that 3*c**4 + 57*c**3/4 - 27*c**2/4 - 57*c/4 + 15/4 = 0.
-5, -1, 1/4, 1
Factor -c**2 - c + 20.
-(c - 4)*(c + 5)
Suppose 18*l**3/5 - 40*l**2 + 488*l/5 - 64 = 0. Calculate l.
10/9, 2, 8
What is m in 2*m**4/11 + 2402*m**3/11 - 2406*m**2/11 - 2402*m/11 + 2404/11 = 0?
-1202, -1, 1
Find s, given that -3*s**5 - 15*s**4 + 102*s**3 - 66*s**2 - 99*s + 81 = 0.
-9, -1, 1, 3
Let -y**4/7 - 5*y**3/7 + 6*y**2/7 = 0. Calculate y.
-6, 0, 1
Solve 2*n**5 + 10*n**4 + 6*n**3 - 10*n**2 - 8*n = 0.
-4, -1, 0, 1
Find t such that 5*t**4 + 9100*t**3 + 5508480*t**2 + 1101598720*t - 4495114240 = 0.
-608, 4
Factor 2*r**3/15 + 62*r**2/5 + 282*r - 4418/15.
2*(r - 1)*(r + 47)**2/15
Let 3*v**4/7 - 54*v**3/7 + 183*v**2/7 - 216*v/7 + 12 = 0. Calculate v.
1, 2, 14
Factor -m**4/2 + 3*m**3/2 - 3*m**2/2 + m/2.
-m*(m - 1)**3/2
Factor 3*m**3/4 + 27*m**2/4 - 147*m/4 + 117/4.
3*(m - 3)*(m - 1)*(m + 13)/4
What is d in 5*d**2 + 300*d + 4500 = 0?
-30
Factor -5*n**5 + 45*n**4 - 120*n**3 + 80*n**2.
-5*n**2*(n - 4)**2*(n -