132/7.
-2*(h - 2)*(h + 283)/7
What is i in -2*i**4/5 + 84*i**3 - 24426*i**2/5 + 49896*i - 705672/5 = 0?
6, 99
Suppose 3*s**5/4 - 13*s**4/4 + 11*s**3/2 - 9*s**2/2 + 7*s/4 - 1/4 = 0. Calculate s.
1/3, 1
Let -q**3 - 41*q**2 + 4*q + 164 = 0. Calculate q.
-41, -2, 2
Determine v, given that -4*v**3 + 1736*v**2 + 3484*v + 1744 = 0.
-1, 436
Factor -2*t**3 - 2223*t**2/2 - 1938*t + 554.
-(t + 2)*(t + 554)*(4*t - 1)/2
Suppose -2*g**3/9 + 20*g**2/9 - 62*g/9 + 20/3 = 0. What is g?
2, 3, 5
Find v such that 5*v**5 - 90*v**4 + 455*v**3 - 810*v**2 + 440*v = 0.
0, 1, 2, 4, 11
Determine g so that -g**3/2 - 25*g**2/4 - 27*g/2 + 36 = 0.
-8, -6, 3/2
Suppose -s**3/8 + 439*s**2/4 - 1753*s/8 + 219/2 = 0. Calculate s.
1, 876
Factor 3*u**4/7 - 39*u**3/7 + 165*u**2/7 - 225*u/7.
3*u*(u - 5)**2*(u - 3)/7
Factor 15*u**3 + 39*u**2 - 18*u.
3*u*(u + 3)*(5*u - 2)
Factor 4*c**4/5 - 348*c**3/5 - 4*c**2/5 + 348*c/5.
4*c*(c - 87)*(c - 1)*(c + 1)/5
Find b, given that 4*b**3/7 + 200*b**2/7 + 2288*b/7 - 5408/7 = 0.
-26, 2
Factor 5*y**5 - 25*y**4 + 40*y**3 - 20*y**2.
5*y**2*(y - 2)**2*(y - 1)
Factor -2*h**4 + 142*h**3 - 138*h**2 - 142*h + 140.
-2*(h - 70)*(h - 1)**2*(h + 1)
Determine o so that 2*o**2/5 - 16*o/5 - 18/5 = 0.
-1, 9
Factor -4*d**5 - 268*d**4 - 780*d**3 - 772*d**2 - 256*d.
-4*d*(d + 1)**3*(d + 64)
Factor y**4/2 - 11*y**3/2 + 12*y**2 + 18*y.
y*(y - 6)**2*(y + 1)/2
Factor 3*k**2 + 3*k - 6.
3*(k - 1)*(k + 2)
Find s, given that 2*s**5/3 + 142*s**4/3 + 2948*s**3/3 + 5512*s**2/3 - 278512*s/3 - 281216/3 = 0.
-26, -1, 8
What is h in -h**5/5 - 38*h**4/5 - 529*h**3/5 - 668*h**2 - 9776*h/5 - 10816/5 = 0?
-13, -4
Factor -2*s**4 + 28*s**3 + 96*s**2 + 100*s + 34.
-2*(s - 17)*(s + 1)**3
Factor 2*n**3/9 + 2*n**2 - 14*n/3 + 22/9.
2*(n - 1)**2*(n + 11)/9
Factor 2*f**3/3 - 184*f**2/3 - 62*f.
2*f*(f - 93)*(f + 1)/3
Factor 4*w**3 - 264*w**2 + 1652*w.
4*w*(w - 59)*(w - 7)
Let 36*a**5 - 10*a**4 - 40*a**3 + 10*a**2 + 4*a = 0. Calculate a.
-1, -2/9, 0, 1/2, 1
Factor 5476*y**2/5 + 1184*y/5 + 64/5.
4*(37*y + 4)**2/5
Determine o, given that -10*o**4 - 754*o**3 - 1040*o**2 - 296*o = 0.
-74, -1, -2/5, 0
Solve 19*t**2/4 + 147*t/2 + 128 = 0.
-256/19, -2
Factor 2*j**3/3 - 536*j**2 + 143648*j - 38497664/3.
2*(j - 268)**3/3
Suppose -4*c**3 + 8*c**2 + 52*c + 40 = 0. What is c?
-2, -1, 5
Factor 4*y**3 - 7584*y**2 + 4793088*y - 1009743872.
4*(y - 632)**3
Suppose -2*k**4 + 1828*k**3 - 410322*k**2 - 3370832*k - 6800672 = 0. What is k?
-4, 461
Suppose -t**4 - 169*t**3 - 7695*t**2 - 45927*t = 0. Calculate t.
-81, -7, 0
What is f in 5915*f**5 + 16705*f**4 + 16890*f**3 + 7100*f**2 + 1000*f = 0?
-1, -10/13, -2/7, 0
Suppose -2*j**5/9 + 8*j**4/9 - 2*j**3/3 - 8*j**2/9 + 8*j/9 = 0. What is j?
-1, 0, 1, 2
What is m in 3*m**2 + 16488*m + 22654512 = 0?
-2748
Factor c**2/2 + 44*c + 86.
(c + 2)*(c + 86)/2
Suppose -3*u**4/5 - 192*u**3/5 - 651*u**2 - 5766*u/5 = 0. Calculate u.
-31, -2, 0
Suppose -3*y**4/2 - 3*y**3/2 + 39*y**2/2 + 75*y/2 + 18 = 0. Calculate y.
-3, -1, 4
Let 13*z**2/4 + 111*z/4 - 27/2 = 0. What is z?
-9, 6/13
Factor -l**2/4 - 2*l - 7/4.
-(l + 1)*(l + 7)/4
What is w in -2*w**2/7 - 56*w - 2744 = 0?
-98
Factor -w**4/3 + 257*w**3 - 770*w**2/3.
-w**2*(w - 770)*(w - 1)/3
Determine m so that -3*m**4 - 45*m**3 - 204*m**2 - 180*m + 432 = 0.
-6, -4, 1
Find g such that -g**2 + 120*g - 3600 = 0.
60
Solve 2*z**3/21 - 148*z**2/21 - 208*z/7 = 0.
-4, 0, 78
Suppose 612*l**3 - 2456*l**2 + 2480*l - 32 = 0. What is l?
2/153, 2
What is u in -3*u**3/8 + 27*u**2/4 + 57*u/8 = 0?
-1, 0, 19
Let -4*q**2/7 + 88*q/7 + 92/7 = 0. What is q?
-1, 23
Suppose -5*q**4 - 40*q**3 - 75*q**2 + 40*q + 80 = 0. What is q?
-4, -1, 1
Factor 2*c**4/21 + 2*c**3/7 + 4*c**2/21.
2*c**2*(c + 1)*(c + 2)/21
Let 3*u**5/2 - 21*u**4/2 - 27*u**3 + 162*u**2 + 324*u = 0. Calculate u.
-3, -2, 0, 6
Suppose 5*r**3 - 35*r**2 + 60*r = 0. Calculate r.
0, 3, 4
Factor 2*v**4/9 + 52*v**3/9 + 386*v**2/9 + 208*v/3 + 32.
2*(v + 1)**2*(v + 12)**2/9
Solve 2*z**5 + 16*z**4 + 22*z**3 - 16*z**2 - 24*z = 0.
-6, -2, -1, 0, 1
Solve -f**5/3 + 17*f**4/3 - 58*f**3/3 + 82*f**2/3 - 53*f/3 + 13/3 = 0.
1, 13
Let 2*o**3/15 - 508*o**2/15 + 32258*o/15 = 0. What is o?
0, 127
Factor g**2/10 + 74*g/5 + 87/2.
(g + 3)*(g + 145)/10
Solve -594*u**5 + 1410*u**4 - 1088*u**3 + 752*u**2/3 + 32*u - 32/3 = 0 for u.
-2/11, 2/9, 2/3, 1
Let -p**5/4 - 3*p**4/4 + 3*p**3/2 + 13*p**2/2 + 27*p/4 + 9/4 = 0. What is p?
-3, -1, 3
Factor -2*m**2 - 198*m + 200.
-2*(m - 1)*(m + 100)
Determine d, given that 4*d**2 - 8*d = 0.
0, 2
Let l**3 + 227*l**2 - 461*l - 687 = 0. Calculate l.
-229, -1, 3
Factor 5*i**2 - 100*i + 255.
5*(i - 17)*(i - 3)
Suppose -21*d**3 - 148*d**2 - 124*d + 48 = 0. What is d?
-6, -4/3, 2/7
Factor 2*o**2 - 6*o - 20.
2*(o - 5)*(o + 2)
Factor k**5 - 4*k**4 - 18*k**3 - 20*k**2 - 7*k.
k*(k - 7)*(k + 1)**3
Solve 3*y**3/8 + 9*y**2/4 + 15*y/8 - 9/2 = 0 for y.
-4, -3, 1
Factor l**3/2 + 4285*l**2 + 18361225*l/2.
l*(l + 4285)**2/2
Factor 2*q**2/5 + 576*q/5 + 41472/5.
2*(q + 144)**2/5
Factor 3*f**2 + 18*f + 15.
3*(f + 1)*(f + 5)
Determine i so that -4*i**2 - 344*i - 340 = 0.
-85, -1
Solve -14*j**5 - 4*j**4 + 98*j**3 + 112*j**2 + 24*j = 0.
-2, -1, -2/7, 0, 3
Let -2*w**2/3 + 4*w - 16/3 = 0. Calculate w.
2, 4
Solve -2*b**5/15 - 8*b**4/15 + 4*b**3/15 + 16*b**2/15 - 2*b/15 - 8/15 = 0.
-4, -1, 1
What is u in -5*u**3 - 5*u**2 + 5*u + 5 = 0?
-1, 1
Suppose 5*k**4/3 + 1012*k**3/3 + 1409*k**2/3 + 134*k = 0. What is k?
-201, -1, -2/5, 0
Suppose -20*c**5/7 + 202*c**4/7 - 60*c**3 - 160*c**2/7 + 440*c/7 - 6 = 0. What is c?
-1, 1/10, 1, 3, 7
Solve 3*x**3/7 + 2157*x**2/7 + 386640*x/7 - 388800/7 = 0.
-360, 1
Let 5*q**3 - 125*q**2 + 395*q + 525 = 0. What is q?
-1, 5, 21
Determine i so that 3*i**3 - 54*i**2 + 141*i - 90 = 0.
1, 2, 15
Let 2*a**2 - 58*a - 1824 = 0. Calculate a.
-19, 48
Factor -3*s**4 + 24*s**3 + 2337*s**2 - 32490*s.
-3*s*(s - 19)**2*(s + 30)
Solve -i**2/3 - 10*i = 0.
-30, 0
Determine q so that -3*q**5/4 + 3*q**4 - 3*q**3/4 - 9*q**2/2 = 0.
-1, 0, 2, 3
Find d, given that -2*d**3 + 14*d**2 - 20*d = 0.
0, 2, 5
Determine p, given that -4*p**3/7 + 92*p**2/7 - 444*p/7 + 612/7 = 0.
3, 17
Solve -3*o**4 - 9*o**3 + 27*o**2 - 15*o = 0.
-5, 0, 1
Find p such that -p**5/4 - 15*p**4/4 - 25*p**3/2 - 35*p**2/2 - 45*p/4 - 11/4 = 0.
-11, -1
Suppose -2*r**5/9 + 52*r**4/3 - 2882*r**3/9 - 2080*r**2/3 - 3200*r/9 = 0. What is r?
-1, 0, 40
Factor -15*b**3 + 2105*b**2 - 76245*b + 166635.
-5*(b - 69)**2*(3*b - 7)
What is i in -21*i**5 + 207*i**4 - 144*i**3 - 372*i**2 = 0?
-1, 0, 2, 62/7
Factor k**3/3 - 14*k**2/3 + 43*k/3 - 10.
(k - 10)*(k - 3)*(k - 1)/3
Factor -3*w**3 - 9*w**2 + 234*w + 240.
-3*(w - 8)*(w + 1)*(w + 10)
Factor 5*u**2 - 8400*u + 3528000.
5*(u - 840)**2
Determine w so that 3*w**3/2 + 87*w**2 + 2139*w/2 - 5766 = 0.
-31, 4
Solve 3*a**2 + 3486*a + 1012683 = 0.
-581
Let 2*t**5 - 16*t**4 - 18*t**3 = 0. Calculate t.
-1, 0, 9
Determine k, given that -2*k**3 - 922*k**2 + 924*k = 0.
-462, 0, 1
Factor w**4 - 3*w**2 - 2*w.
w*(w - 2)*(w + 1)**2
Solve -3*n**2/5 + 34404*n/5 - 98636268/5 = 0.
5734
Solve 16*h**5 - 4*h**4 - 16*h**3 + 4*h**2 = 0.
-1, 0, 1/4, 1
Find t such that -2*t**5/9 + 18*t**4 - 316*t**3/9 - 4*t**2/9 + 106*t/3 - 158/9 = 0.
-1, 1, 79
Suppose 4*n**5 + 4*n**4 - 28*n**3 - 52*n**2 - 24*n = 0. What is n?
-2, -1, 0, 3
What is v in 4*v**4 + 48*v**3 - 108*v**2 + 56*v = 0?
-14, 0, 1
Let o**3/9 + o**2 + 23*o/9 + 5/3 = 0. Calculate o.
-5, -3, -1
Find y, given that 3*y**3/5 + 333*y**2/5 + 1296*y/5 + 1284/5 = 0.
-107, -2
Suppose -2*h**3/3 + 10*h**2/3 - 16*h/3 + 8/3 = 0. What is h?
1, 2
Determine m, given that -13*m**2/3 + 116*m/3 + 140/3 = 0.
-14/13, 10
Suppose -2*f**5/3 - 4*f**4 + 22*f**3/3 + 32*f**2 - 200*f/3 + 32 = 0. Calculate f.
-6, -4, 1, 2
Factor -x**2 - 610*x - 93025.
-(x + 305)**2
Factor 4*y**3/9 + 340*y**2/9 + 2464*y/3 + 784.
4*(y + 1)*(y + 42)**2/9
Determine x so that 2*x**4 + 52*x**3 + 378*x**2 + 608*x + 280 = 0.
-14, -10, -1
Factor 2*s**3/21 + 4*s**2/21 - 38*s/21 - 40/21.
2*(s - 4)*(s + 1)*(s + 5)/21
Solve 12*z**5 - 20*z**4 - 28*z**3 + 36*z**2 + 16*z - 16 = 0 for z.
-1, 2/3, 1, 2
Factor -3*f**2 - 1275*f.
-3*f*(f + 425)
Let 3*o**5/7 - 18*o**4/7 + 9*o**3/7 + 78*o**2/7 - 72*o/7 = 0. Calculate o.
-2, 0, 1, 3, 4
Factor 2*q**3/7 + 460*q**2/7 - 2*q/7 - 460/7.
2*(q - 1)*(q + 1)*(q + 230)/7
Factor q**2/4 + 95*q/4 + 93/2.
(q + 2)*(q + 93)/4
Fa