 18)**2/7
Solve 4*d**4 - 44*d**3 + 36*d**2 + 44*d - 40 = 0.
-1, 1, 10
Solve -5*p**2 + 10470*p - 20920 = 0 for p.
2, 2092
Factor 2*u**2 - 332*u + 2226.
2*(u - 159)*(u - 7)
Let 26*i**5 + 66*i**4 - 140*i**3 - 264*i**2 + 144*i = 0. Calculate i.
-3, -2, 0, 6/13, 2
Factor 5*t**2 + 245*t + 900.
5*(t + 4)*(t + 45)
Factor w**3/4 - 5*w**2 - w/4 + 5.
(w - 20)*(w - 1)*(w + 1)/4
Solve -3*t**5 + 27*t**4 + 51*t**3 - 567*t**2 - 588*t = 0.
-4, -1, 0, 7
Find z, given that -14*z**4 - 38*z**3 - 30*z**2 - 2*z + 4 = 0.
-1, 2/7
Factor -2*s**2/5 - 6*s + 40.
-2*(s - 5)*(s + 20)/5
Find t such that 2*t**5 + 26*t**4 + 46*t**3 - 290*t**2 - 384*t + 1080 = 0.
-9, -5, -3, 2
Find x, given that -10*x**5 - 216*x**4 - 1112*x**3 + 700*x**2 + 1122*x - 484 = 0.
-11, -1, 2/5, 1
Suppose -4*i**5 + 8*i**3 - 4*i = 0. What is i?
-1, 0, 1
Let 10*g**4/11 + 824*g**3/11 - 5748*g**2/11 + 11160*g/11 - 4806/11 = 0. Calculate g.
-89, 3/5, 3
Factor -5*t**4/3 + 20*t**3/3 + 55*t**2/3 + 10*t.
-5*t*(t - 6)*(t + 1)**2/3
Suppose -5*c**5 - 410*c**4 - 11720*c**3 - 130000*c**2 - 392080*c - 351520 = 0. What is c?
-26, -2
Factor -k**4 - 6*k**3 + 12*k**2 + 70*k - 75.
-(k - 3)*(k - 1)*(k + 5)**2
Solve 3*d**5 + 65*d**4 - 1217*d**3/3 + 2081*d**2/3 - 464*d + 108 = 0 for d.
-27, 2/3, 1, 3
Factor -5*s**4 + 70*s**3 - 205*s**2 - 280*s.
-5*s*(s - 8)*(s - 7)*(s + 1)
Factor 4*t**2 - 2008*t + 4000.
4*(t - 500)*(t - 2)
Find a such that -4*a**5 + 8*a**4 + 12*a**3 - 16*a**2 - 16*a = 0.
-1, 0, 2
Factor 4*n**4 + 760*n**3 + 756*n**2.
4*n**2*(n + 1)*(n + 189)
Factor -r**2/3 - 7*r - 80/3.
-(r + 5)*(r + 16)/3
Factor 4*p**3/9 - 2*p**2/3 - 46*p/9 - 4.
2*(p + 1)*(p + 2)*(2*p - 9)/9
Solve -s**2/4 - 7*s - 49 = 0 for s.
-14
Suppose -4*j**4/5 - 16*j**3/5 + 4*j**2/5 + 16*j/5 = 0. Calculate j.
-4, -1, 0, 1
Determine v, given that v**4/2 - 47*v**3 + 1488*v**2 - 19712*v + 94208 = 0.
16, 46
Solve -2*n**4/15 + 28*n**3/5 - 1034*n**2/15 + 1064*n/5 - 2888/15 = 0.
2, 19
Factor -3*l**3/4.
-3*l**3/4
Factor 2*a**5/23 - 24*a**3/23 - 32*a**2/23.
2*a**2*(a - 4)*(a + 2)**2/23
Factor -2*b**2 - 144*b - 142.
-2*(b + 1)*(b + 71)
Determine u so that -40*u**2 - 255*u - 90 = 0.
-6, -3/8
Factor -4*g**2 + 64*g - 60.
-4*(g - 15)*(g - 1)
Let -7*t**3/3 + 2551*t**2/6 + 2011*t/6 + 61 = 0. Calculate t.
-1/2, -2/7, 183
Solve 5*x**2 + 20*x - 105 = 0.
-7, 3
Determine s, given that -5*s**3 - 245*s**2 - 230*s + 480 = 0.
-48, -2, 1
Factor -2*j**2 + 12*j + 14.
-2*(j - 7)*(j + 1)
Find w, given that -2755*w**4 + 13765*w**3 + 35865*w**2 + 19415*w + 70 = 0.
-1, -2/551, 7
Solve 12*m**3 + 112*m**2 - 1044*m - 360 = 0 for m.
-15, -1/3, 6
Determine q, given that 2*q**5/3 - 74*q**4/15 - 2*q**3/15 + 202*q**2/15 + 64*q/15 - 56/15 = 0.
-1, 2/5, 2, 7
Let 3*g**5 + 74*g**4 - 37*g**3 - 296*g**2 + 100*g = 0. Calculate g.
-25, -2, 0, 1/3, 2
Find p, given that 9*p**3 + 51*p**2 - 80*p + 28 = 0.
-7, 2/3
Suppose -3*d**5 + 18*d**4 - 9*d**3 - 138*d**2 + 324*d - 216 = 0. What is d?
-3, 2, 3
Let -2*y**2/9 + 2*y - 4 = 0. Calculate y.
3, 6
Find g, given that 25*g**2 + 16460*g + 6580 = 0.
-658, -2/5
Factor -2*m**2/3 - 10*m/3 - 8/3.
-2*(m + 1)*(m + 4)/3
Factor 2*l**4/19 + 2*l**3/19 - 2*l**2/19 - 2*l/19.
2*l*(l - 1)*(l + 1)**2/19
What is s in -2*s**4/11 - 72*s**3/11 - 36*s**2 + 4536*s/11 - 7938/11 = 0?
-21, 3
Factor 2*k**3 - 16*k**2 - 224*k - 512.
2*(k - 16)*(k + 4)**2
Factor -2*v**4 + 248*v**3/7 - 1062*v**2/7 - 324*v/7.
-2*v*(v - 9)**2*(7*v + 2)/7
Find y such that -3*y**4 - 53*y**3/6 + 25*y**2/2 - 2*y/3 = 0.
-4, 0, 1/18, 1
Suppose -i**2/2 + 3*i + 36 = 0. What is i?
-6, 12
Solve 5*b**5/4 + 19*b**4/2 + 7*b**3/2 - 53*b**2 + 205*b/4 - 25/2 = 0.
-5, 2/5, 1
Factor 4*n**4 - 40*n**3/3 + 16*n**2/3 + 32*n/3.
4*n*(n - 2)**2*(3*n + 2)/3
Let -3*i**2/4 + 3 = 0. What is i?
-2, 2
Factor -2*z**5/5 - 2*z**4/5 + 18*z**3/5 - 22*z**2/5 + 8*z/5.
-2*z*(z - 1)**3*(z + 4)/5
Determine u, given that -u**3/6 + 29*u**2/6 = 0.
0, 29
Factor -3*h**2 + 987*h + 990.
-3*(h - 330)*(h + 1)
Find q, given that 2*q**5 + 2*q**4 - 498*q**3 + 1918*q**2 - 2360*q + 936 = 0.
-18, 1, 2, 13
Factor 3*m**4/5 - 24*m**3.
3*m**3*(m - 40)/5
Solve -g**2/3 - 350*g/3 - 30625/3 = 0.
-175
Solve n**5 + 16*n**4/3 + 5*n**3 - 2*n**2 - 8*n/3 = 0.
-4, -1, 0, 2/3
Suppose 18*q**2 + 11*q/5 - 2/5 = 0. Calculate q.
-2/9, 1/10
Suppose -3*s**2/8 - 69*s/2 - 273/8 = 0. Calculate s.
-91, -1
Let -9*a**2 - 678*a + 456 = 0. Calculate a.
-76, 2/3
Factor -x**2 + 3042*x - 2313441.
-(x - 1521)**2
Let 2*m**3/15 - 102*m**2/5 + 5202*m/5 - 88434/5 = 0. Calculate m.
51
Factor -r**3/3 + 172*r**2/3 - 7396*r/3.
-r*(r - 86)**2/3
Find w, given that -28*w**3 - 2508*w**2 + 3628*w - 1092 = 0.
-91, 3/7, 1
Solve -36*l**4 - 4488*l**3 + 10736*l**2 + 8648*l + 1524 = 0 for l.
-127, -1/3, 3
Suppose 5*p**3 - 16*p**2 + 69*p/5 - 18/5 = 0. Calculate p.
3/5, 2
Find j such that j**4 - 22*j**3 + 40*j**2 = 0.
0, 2, 20
Solve 3*w**5/2 + 21*w**4 - 21*w**3/2 - 156*w**2 - 126*w = 0 for w.
-14, -2, -1, 0, 3
Solve q**4 - 43*q**3/6 + 91*q**2/6 - 31*q/3 + 4/3 = 0 for q.
1/6, 1, 2, 4
Factor -2*t**5 - 8*t**4 - 10*t**3 - 4*t**2.
-2*t**2*(t + 1)**2*(t + 2)
Factor -k**4/3 + 3*k**3 + 34*k**2/3 + 8*k.
-k*(k - 12)*(k + 1)*(k + 2)/3
Factor -45*y**5 - 645*y**4 + 445*y**3 - 75*y**2.
-5*y**2*(y + 15)*(3*y - 1)**2
Let 4*v**3 + 44*v**2 + 72*v = 0. What is v?
-9, -2, 0
Factor -j**4/5 + 27*j**3/5 - 63*j**2/5 - 211*j/5 - 24.
-(j - 24)*(j - 5)*(j + 1)**2/5
Solve 5*z**2 + 710*z + 25205 = 0.
-71
Suppose 5*n**4 + 5125*n**3 + 1305560*n**2 - 3962940*n = 0. What is n?
-514, 0, 3
Find r, given that 2*r**5 + 6*r**4 - 2*r**3 - 6*r**2 = 0.
-3, -1, 0, 1
Factor -2*b**3/9 + 94*b**2/9 - 328*b/3 - 120.
-2*(b - 30)*(b - 18)*(b + 1)/9
Determine m so that -2*m**5 + 14*m**4 - 30*m**3 + 18*m**2 = 0.
0, 1, 3
Factor -12*i**4 - 4341*i**3 + 1086*i**2.
-3*i**2*(i + 362)*(4*i - 1)
Solve 2*f**4/21 + 16*f**3/3 + 298*f**2/7 + 2288*f/21 + 1504/21 = 0 for f.
-47, -4, -1
Factor -2*n**3/5 - 28*n**2/5 - 10*n - 24/5.
-2*(n + 1)**2*(n + 12)/5
Determine z, given that -2*z**3/11 + 140*z**2/11 - 2304*z/11 - 5184/11 = 0.
-2, 36
Suppose -l**4 + 592*l**3 - 87022*l**2 - 175824*l - 88209 = 0. What is l?
-1, 297
Factor y**4 - 106*y**3 + 2913*y**2 - 5512*y + 2704.
(y - 52)**2*(y - 1)**2
Factor -k**5 + 15*k**4 + 3*k**3 - 43*k**2 - 30*k.
-k*(k - 15)*(k - 2)*(k + 1)**2
Factor -o**2/6 - 105*o/2 - 157/3.
-(o + 1)*(o + 314)/6
Factor -2*l**3 - 726*l**2 - 87846*l - 3543122.
-2*(l + 121)**3
Suppose f**4/3 + 5*f**3/3 + 8*f**2/3 + 4*f/3 = 0. What is f?
-2, -1, 0
Find b, given that b**2/4 - 19*b/4 - 21/2 = 0.
-2, 21
Factor -k**3 - 246*k**2 - 14625*k + 62500.
-(k - 4)*(k + 125)**2
Let g**5/7 + 24*g**4/7 - 695*g**3/7 + 2742*g**2/7 + 7660*g/7 + 600 = 0. What is g?
-42, -1, 10
Solve 194672*h**3 + 38088*h**2 + 2484*h + 54 = 0 for h.
-3/46
Factor 5*z**2 + 4235*z + 8450.
5*(z + 2)*(z + 845)
Factor -2*y**2 - 32*y - 128.
-2*(y + 8)**2
Let -2*l**3/5 - 38*l**2/5 + 176*l/5 - 184/5 = 0. What is l?
-23, 2
Let h**4/11 - 2*h**3/11 - h**2/11 + 2*h/11 = 0. Calculate h.
-1, 0, 1, 2
Determine t so that 44*t**4/7 - 360*t**3/7 - 332*t**2/7 + 72*t/7 = 0.
-1, 0, 2/11, 9
Factor m**2/3 + 224*m/3 + 12544/3.
(m + 112)**2/3
Find t such that -t**3 + 9*t**2 - 15*t + 7 = 0.
1, 7
Factor c**2 - 16*c + 48.
(c - 12)*(c - 4)
Factor -4*b**2 - 4*b + 24.
-4*(b - 2)*(b + 3)
Factor 6*f**2 - 10444*f/3 + 2320/3.
2*(f - 580)*(9*f - 2)/3
Factor -9*z**3/4 - 33*z**2/4 - 9*z - 3.
-3*(z + 1)*(z + 2)*(3*z + 2)/4
Let 4*o**3/7 - 60*o**2/7 - 72*o/7 + 128/7 = 0. What is o?
-2, 1, 16
Factor 3*f**3 + 2118*f**2.
3*f**2*(f + 706)
Factor 2*n**5 - 8*n**3.
2*n**3*(n - 2)*(n + 2)
Factor 2*f**2/5 - 88*f/5 + 456/5.
2*(f - 38)*(f - 6)/5
Let 24*f**5 - 64*f**4 - 142*f**3/3 + 62*f**2 + 70*f/3 + 2 = 0. What is f?
-1, -1/6, 1, 3
Factor 6*y**4 - 9*y**3 - 96*y**2 + 171*y + 108.
3*(y - 3)**2*(y + 4)*(2*y + 1)
Factor 2*h**3/5 + 764*h**2/5 + 758*h/5 - 1524/5.
2*(h - 1)*(h + 2)*(h + 381)/5
Determine a, given that -8*a**4/7 + 2*a**3 + 4*a**2/7 = 0.
-1/4, 0, 2
Determine g so that g**2 + 1103*g = 0.
-1103, 0
Find w, given that -2*w**4/7 - 542*w**3/7 - 1076*w**2/7 = 0.
-269, -2, 0
Suppose -4*m**5 - 16*m**4 + 228*m**3 + 1712*m**2 + 3776*m + 2304 = 0. Calculate m.
-4, -1, 9
Factor -2*r**3/17 - 4*r**2/17 + 2*r/17 + 4/17.
-2*(r - 1)*(r + 1)*(r + 2)/17
Let -5*y**3/6 - 245*y**2 - 36015*y/2 = 0. What is y?
-147, 0
Factor -4*z**5 + 104*z**4 - 288*z**3 + 280*z**2 - 92*z.
-4*z*(z