 1106704 = 0. Calculate q.
-526
Suppose -h**4/6 - 7*h**3/2 - 73*h**2/6 - 29*h/2 - 17/3 = 0. Calculate h.
-17, -2, -1
Determine m so that 4*m**2 + 2464*m + 2460 = 0.
-615, -1
Factor -t**3 + 50*t**2 + 104*t.
-t*(t - 52)*(t + 2)
Solve -y**2 - 1350*y - 455625 = 0.
-675
Factor -u**2/2 + 3*u/2 - 1.
-(u - 2)*(u - 1)/2
Suppose 15*l**4/7 + 12*l**3/7 - 243*l**2/7 + 348*l/7 - 60/7 = 0. Calculate l.
-5, 1/5, 2
Solve x**2/7 + 111*x/7 - 342/7 = 0 for x.
-114, 3
Factor -841*j**5/7 - 8149*j**4/7 - 28027*j**3/7 - 39267*j**2/7 - 18360*j/7 - 2700/7.
-(j + 3)**3*(29*j + 10)**2/7
Find f such that -f**4 + 296*f**3 - 2324*f**2 + 5776*f - 4608 = 0.
2, 4, 288
Factor n**3/4 + 1001*n**2/2 + 1002001*n/4.
n*(n + 1001)**2/4
Solve -2*c**5/3 + 2*c**4/3 + 40*c**3/3 = 0.
-4, 0, 5
Solve 5*t**4 + 45*t**3 + 20*t**2 - 180*t - 160 = 0 for t.
-8, -2, -1, 2
Find u, given that 3*u**5/2 + 93*u**4/2 + 87*u**3 - 3*u**2 - 177*u/2 - 87/2 = 0.
-29, -1, 1
Factor -4*l**3 - 320*l**2 - 8052*l - 60984.
-4*(l + 14)*(l + 33)**2
Factor r**2 + 1453*r + 1452.
(r + 1)*(r + 1452)
Factor -124*h**3/3 - 232*h**2/3 - 92*h/3 + 16/3.
-4*(h + 1)**2*(31*h - 4)/3
Factor -2*f**3/11 + 10*f**2/11 + 26*f/11 + 14/11.
-2*(f - 7)*(f + 1)**2/11
Let 88*t**2/7 - 166*t/7 - 20/7 = 0. Calculate t.
-5/44, 2
Factor 3*t**2 + 7194*t + 4312803.
3*(t + 1199)**2
Factor 2*q**4 + 1730*q**3 + 371496*q**2 - 1137080*q - 1506848.
2*(q - 4)*(q + 1)*(q + 434)**2
Solve 2*t**4/5 - 118*t**3/5 + 2166*t**2/5 - 2410*t + 2000 = 0.
1, 8, 25
Factor m**3/7 + 13*m**2 + 2115*m/7 + 2025/7.
(m + 1)*(m + 45)**2/7
Factor -4*f**4 - 39*f**3 - 90*f**2 + 25*f.
-f*(f + 5)**2*(4*f - 1)
Solve -3*a**5/2 + 24*a**4 - 189*a**3/2 + 138*a**2 - 66*a = 0 for a.
0, 1, 2, 11
What is f in -2*f**4/9 - 32*f**3/9 + 484*f**2/9 + 544*f - 5202 = 0?
-17, 9
Factor -2*h**4/3 - 4*h**3/3 + 4*h/3 + 2/3.
-2*(h - 1)*(h + 1)**3/3
Determine q, given that -4*q**3 - 10*q**2 + 4*q + 10 = 0.
-5/2, -1, 1
Factor 3*y**4/4 - 9*y**2/2 - 6*y - 9/4.
3*(y - 3)*(y + 1)**3/4
Find k such that -14*k**5 - 74*k**4 - 76*k**3 - 16*k**2 = 0.
-4, -1, -2/7, 0
Factor -b**4/6 - b**3 + 9*b**2/2.
-b**2*(b - 3)*(b + 9)/6
What is i in 9*i**4 + 786*i**3 + 17676*i**2 + 22446*i + 5547 = 0?
-43, -1, -1/3
Factor -3*r**4 - 21*r**3.
-3*r**3*(r + 7)
Let -2*u**4 - 130*u**3 + 270*u**2 + 130*u - 268 = 0. What is u?
-67, -1, 1, 2
Factor -5*g**3 - 270*g**2 - 4860*g - 29160.
-5*(g + 18)**3
Find z, given that -z**2 + 272*z - 807 = 0.
3, 269
Suppose -5*b**4/2 - 3675*b**3/2 + 1845*b**2 + 3680*b = 0. What is b?
-736, -1, 0, 2
Factor -d**2 - 1807*d + 3618.
-(d - 2)*(d + 1809)
Factor 3*g**3/4 - 3*g**2/4 - 12*g - 15.
3*(g - 5)*(g + 2)**2/4
Let -3*a**3 + 21*a**2 = 0. What is a?
0, 7
Solve -3*m**2/8 + 9*m/8 + 135/2 = 0 for m.
-12, 15
Factor -2*v**2/5 + 2*v - 12/5.
-2*(v - 3)*(v - 2)/5
Factor -2*n**3/3 - 34*n**2/3 - 190*n/3 - 350/3.
-2*(n + 5)**2*(n + 7)/3
Solve v**5 - 13*v**4 + 21*v**3 + 13*v**2 - 22*v = 0 for v.
-1, 0, 1, 2, 11
Factor t**4/8 - 5*t**3/8 + 3*t**2/4.
t**2*(t - 3)*(t - 2)/8
Let 3*s**3/4 + 3*s**2/2 - 3*s/4 - 3/2 = 0. What is s?
-2, -1, 1
Factor 2*h**2/9 - 194*h/9 - 340/3.
2*(h - 102)*(h + 5)/9
Find a such that -3*a**4 - 75*a**3 - 72*a**2 = 0.
-24, -1, 0
Factor r**3/7 - 50*r**2/7 + 188*r/7 - 184/7.
(r - 46)*(r - 2)**2/7
Factor 5*n**3 - 77*n**2 + 300*n - 108.
(n - 9)*(n - 6)*(5*n - 2)
Factor -2*h**2/7 + 786*h/7 + 788/7.
-2*(h - 394)*(h + 1)/7
Suppose h**2/4 - 38*h + 1444 = 0. Calculate h.
76
Determine t so that 13*t**4/2 + 31*t**3/2 - 48*t**2 - 62*t + 88 = 0.
-44/13, -2, 1, 2
Solve 81*u**4 + 4536*u**3 + 8856*u**2 + 5856*u + 1296 = 0 for u.
-54, -2/3
Solve -o**2/2 - 372*o = 0.
-744, 0
Determine h, given that 2*h**5/15 - 4*h**4/5 + 44*h**2/15 + 2*h = 0.
-1, 0, 3, 5
Suppose 15*y**5 + 160*y**4 + 410*y**3 + 160*y**2 - 105*y = 0. Calculate y.
-7, -3, -1, 0, 1/3
Suppose 4*h**3 + 620*h**2 = 0. Calculate h.
-155, 0
Let 2*j**3 + 1352*j**2 + 227130*j - 459684 = 0. What is j?
-339, 2
Factor 14*b**3/15 - 1516*b**2/15 + 13752*b/5 - 3888/5.
2*(b - 54)**2*(7*b - 2)/15
Determine g, given that 20*g**5 - 105*g**4 + 45*g**3 + 415*g**2 - 465*g + 90 = 0.
-2, 1/4, 1, 3
Let o**4/2 - 33*o**3/2 + 138*o**2 - 64*o - 1920 = 0. What is o?
-3, 8, 20
Factor -15*x**5 + 51*x**4 - 18*x**3.
-3*x**3*(x - 3)*(5*x - 2)
Factor l**3 + 13*l**2.
l**2*(l + 13)
Find x, given that 2*x**3 - 1432*x**2 - 2870*x - 1436 = 0.
-1, 718
Factor -2*f**5/7 - 12*f**4/7 - 4*f**3 - 32*f**2/7 - 18*f/7 - 4/7.
-2*(f + 1)**4*(f + 2)/7
Suppose 139*q**3/3 + 92*q**2 - 421*q/3 + 2 = 0. Calculate q.
-3, 2/139, 1
Factor 2*c**5/13 - 2*c**4/13 - 2*c**3/13 + 2*c**2/13.
2*c**2*(c - 1)**2*(c + 1)/13
Suppose 2*f**5/19 - 366*f**4/19 + 22326*f**3/19 - 453962*f**2/19 = 0. What is f?
0, 61
Suppose 2*u**2 + 304*u/9 - 34/9 = 0. What is u?
-17, 1/9
Factor -5*w**3 + 25*w**2 - 20*w.
-5*w*(w - 4)*(w - 1)
Factor 4*w**3 + 22*w**2 + 30*w.
2*w*(w + 3)*(2*w + 5)
Determine d, given that 2*d**2 - 52*d + 338 = 0.
13
Suppose 3*o**4 - 60*o**3 + 417*o**2 - 1116*o + 756 = 0. What is o?
1, 6, 7
Determine q, given that q**4/3 - q**3/3 - 19*q**2/3 + 49*q/3 - 10 = 0.
-5, 1, 2, 3
Suppose -2*d**5 - 130*d**4 + 542*d**3 - 686*d**2 + 276*d = 0. What is d?
-69, 0, 1, 2
Factor -3*j**4/5 + 27*j**3/5 + 3*j**2/5 - 27*j/5.
-3*j*(j - 9)*(j - 1)*(j + 1)/5
Factor 4*s**5 + 80*s**4 + 100*s**3 - 5000*s**2 - 10000*s + 100000.
4*(s - 5)**2*(s + 10)**3
Factor p**3 + 1455*p**2 + 705675*p + 114084125.
(p + 485)**3
Solve 2*c**3/3 + 58*c**2/3 + 120*c + 168 = 0.
-21, -6, -2
Factor n**4/7 - 2*n**3 - 16*n**2/7 + 2*n + 15/7.
(n - 15)*(n - 1)*(n + 1)**2/7
Determine h so that -3*h**4 + 36*h**3 - 45*h**2 - 168*h + 180 = 0.
-2, 1, 3, 10
Factor -5*k**2 + 240*k - 2560.
-5*(k - 32)*(k - 16)
Solve -n**3/4 - 13*n**2/4 + 15*n/2 = 0.
-15, 0, 2
Factor 4*n**3 - 32*n**2 + 60*n.
4*n*(n - 5)*(n - 3)
Factor 2*l**2/11 - 6352*l/11 + 6350/11.
2*(l - 3175)*(l - 1)/11
Find m such that m**4/4 + 7*m**3/4 + 11*m**2/4 + 5*m/4 = 0.
-5, -1, 0
Let -2*i**5/5 + 24*i**4/5 - 14*i**3/5 - 96*i**2/5 + 88*i/5 = 0. Calculate i.
-2, 0, 1, 2, 11
Let p**3/4 - 23*p**2/4 = 0. What is p?
0, 23
Suppose -f**5/4 - 21*f**4/4 - 15*f**3/4 + 961*f**2/4 - 672*f + 441 = 0. What is f?
-14, 1, 3
Factor 5*j**3 + 40*j**2 + 100*j + 80.
5*(j + 2)**2*(j + 4)
Factor 2*z**3/11 + 42*z**2/11 + 166*z/11 - 210/11.
2*(z - 1)*(z + 7)*(z + 15)/11
Factor -2*k**2/11 - 2*k - 36/11.
-2*(k + 2)*(k + 9)/11
Find d such that d**3/4 - 9*d**2 + 405*d/4 - 675/2 = 0.
6, 15
Determine k, given that 2*k**4/3 - 4*k**2/3 + 2/3 = 0.
-1, 1
Solve 5*c**4 + 25*c**3 + 25*c**2 - 25*c - 30 = 0 for c.
-3, -2, -1, 1
Determine m so that 4*m**3 + 12*m**2 - 40*m = 0.
-5, 0, 2
Solve -2*t**3/3 + 206*t**2 - 16218*t + 46818 = 0.
3, 153
Factor -15*d**2/2 - 4281*d/2 - 855.
-3*(d + 285)*(5*d + 2)/2
Suppose -d**4/10 - 13*d**3/5 + 42*d**2/5 - 43*d/5 + 29/10 = 0. Calculate d.
-29, 1
Solve -l**2/3 - 1562*l/3 - 1561/3 = 0.
-1561, -1
Determine x so that 2*x**3/13 + 30*x**2/13 + 136*x/13 + 168/13 = 0.
-7, -6, -2
Find i, given that i**2 + 20*i - 300 = 0.
-30, 10
Determine n, given that -3*n**4 - 30*n**3/7 - 9*n**2/7 = 0.
-1, -3/7, 0
Solve 8*l**5 - 42*l**4 - 54*l**3 + 112*l**2 - 24*l = 0 for l.
-2, 0, 1/4, 1, 6
Find i, given that 3*i**2/8 - 15*i/8 = 0.
0, 5
Determine m, given that -m**5 - 61*m**4/3 - 227*m**3/3 - 105*m**2 - 178*m/3 - 32/3 = 0.
-16, -2, -1, -1/3
Factor -5*g**2 + 645*g + 650.
-5*(g - 130)*(g + 1)
Factor -5*w**4 - 950*w**3 - 47840*w**2 - 253920*w.
-5*w*(w + 6)*(w + 92)**2
Determine n, given that -n**3/8 + 35*n**2/4 - 203*n/8 + 67/4 = 0.
1, 2, 67
Let -9*h**4/2 - 525*h**3/2 - 344*h**2 - 114*h = 0. What is h?
-57, -2/3, 0
Factor 5*a**4 + 45*a**3 + 120*a**2 + 80*a.
5*a*(a + 1)*(a + 4)**2
Suppose -8*n**5/5 - 54*n**4/5 - 2*n**3/5 + 228*n**2/5 + 136*n/5 - 48/5 = 0. Calculate n.
-6, -2, -1, 1/4, 2
Determine l, given that 2*l**2 - 96*l - 98 = 0.
-1, 49
Solve -3*g**4/5 - 12*g**3/5 + 6*g**2/5 + 36*g/5 - 27/5 = 0.
-3, 1
What is s in s**4/2 + 52*s**3/3 + 829*s**2/6 - 210*s + 54 = 0?
-18, 1/3, 1
Let 3*w**2 - 5133*w - 5136 = 0. Calculate w.
-1, 1712
Factor -5*t**5 - 25*t**4 - 45*t**3 - 35*t**2 - 10*t.
-5*t*(t + 1)**3*(t + 2)
Let 2*v**5 + 36*v**4 + 176*v**3 + 108*v**2 - 178*v - 144 = 0. Calculate v.
-9, -8, -1, 1
Factor -4*j**3 + 236*j**2.
-4*j**2*(j - 59)
Factor -5*i**2 - 390*i - 7605.
-5*(i + 39)**2
Solve 4*d**2 + 20*d - 144 = 0 for d.
-9, 4
Factor f**3/3 + 53*f**