7*m**3 - 49*m**2 - 47*m + 48.
(m - 1)**2*(m + 1)*(m + 48)
Factor -4*i**2 + 57*i + 61.
-(i + 1)*(4*i - 61)
Solve 5*p**5 + 10*p**4 - 20*p**3 - 40*p**2 = 0.
-2, 0, 2
What is w in 162*w**5/13 - 3168*w**4/13 + 17756*w**3/13 - 22176*w**2/13 + 7938*w/13 = 0?
0, 7/9, 9
What is z in -z**3/6 + 5*z**2/6 - 2*z/3 = 0?
0, 1, 4
Determine i so that -3*i**4/4 + 81*i**3/4 - 693*i**2/4 + 1815*i/4 = 0.
0, 5, 11
Solve -o**2 - 37*o + 588 = 0 for o.
-49, 12
Factor -u**4/3 - 11*u**3/3 - 8*u**2 + 4*u/3 + 32/3.
-(u - 1)*(u + 2)**2*(u + 8)/3
Factor 2*j**2/11 - 156*j/11 - 158/11.
2*(j - 79)*(j + 1)/11
Factor -b**3/2 + 96*b**2 - 4410*b - 19208.
-(b - 98)**2*(b + 4)/2
Solve -q**5 + 46*q**4 + 263*q**3 - 396*q**2 - 612*q = 0.
-6, -1, 0, 2, 51
Factor -v**4/4 + 77*v**3/4 - 19*v**2.
-v**2*(v - 76)*(v - 1)/4
Let -2*j**5/3 - 38*j**4/3 - 88*j**3 - 832*j**2/3 - 1216*j/3 - 224 = 0. Calculate j.
-7, -6, -2
Factor -2*v**3/19 + 52*v**2/19 - 50*v/19.
-2*v*(v - 25)*(v - 1)/19
Factor 4*o**3 + 212*o**2 + 1164*o + 1692.
4*(o + 3)**2*(o + 47)
Factor 5*v**2/3 + 1342*v/3 - 2704/3.
(v - 2)*(5*v + 1352)/3
Factor -3*c**4/8 + 3*c**3/8 + 27*c**2/8 + 33*c/8 + 3/2.
-3*(c - 4)*(c + 1)**3/8
Determine t so that -2*t**3/5 - 214*t**2/5 - 414*t/5 + 126 = 0.
-105, -3, 1
Factor -3*h**2/5 - 78*h/5 - 96.
-3*(h + 10)*(h + 16)/5
Factor -2*n**3 - 8142*n**2 - 11048694*n - 4997692586.
-2*(n + 1357)**3
Find q, given that 2*q**3/3 + 514*q**2 + 98816*q - 297992/3 = 0.
-386, 1
Let 4*g**2/3 + 5224*g/3 + 1705636/3 = 0. What is g?
-653
Factor 2*i**5/5 + 54*i**4/5 + 276*i**3/5 - 1172*i**2/5 + 258*i - 90.
2*(i - 1)**3*(i + 15)**2/5
Factor -3*j**3 - 106*j**2/3 - 52*j + 40/3.
-(j + 2)*(j + 10)*(9*j - 2)/3
Find h such that 2*h**2/9 + 784*h/3 + 76832 = 0.
-588
Let -2*x**3 - 22*x**2 + 36*x + 144 = 0. What is x?
-12, -2, 3
Suppose 15*s**5 - 25*s**4 - 25*s**3 + 25*s**2 + 10*s = 0. What is s?
-1, -1/3, 0, 1, 2
Solve -4*x**5/3 - 7*x**4/3 - x**3 = 0 for x.
-1, -3/4, 0
Factor -3*k**3 - 105*k**2 - 294*k - 192.
-3*(k + 1)*(k + 2)*(k + 32)
Factor 2*n**2/11 - 26*n/11 + 24/11.
2*(n - 12)*(n - 1)/11
Let -f**3/6 - 211*f**2/6 + 538*f/3 - 144 = 0. Calculate f.
-216, 1, 4
Solve 2*j**5/7 - 100*j**4/7 + 858*j**3/7 + 11488*j**2/7 - 3872*j - 5376 = 0 for j.
-8, -1, 3, 28
Suppose -x**2/9 + 44*x/9 = 0. What is x?
0, 44
Solve 5*t**4 + 40*t**3 - 50*t**2 - 40*t + 45 = 0.
-9, -1, 1
Determine l, given that 3*l**5/5 - 57*l**4/5 + 342*l**3/5 - 672*l**2/5 + 384*l/5 = 0.
0, 1, 2, 8
Determine c, given that -c**3 + 63*c**2 - 351*c + 513 = 0.
3, 57
Factor -c**5/2 - 401*c**4 - 213865*c**3/2 - 9409346*c**2 + 19141096*c - 9624416.
-(c - 1)**2*(c + 268)**3/2
Solve 27*q**5/2 + 1863*q**4 - 11385*q**3/2 + 2578*q**2 + 5608*q - 4512 = 0.
-141, -1, 4/3
Factor 41*w**3/8 + 21*w**2/4 + w/8.
w*(w + 1)*(41*w + 1)/8
Factor -2*o**4/5 - 42*o**3/5 - 288*o**2/5 - 128*o.
-2*o*(o + 5)*(o + 8)**2/5
What is r in 5*r**3/4 - 1935*r**2/4 + 480*r + 965 = 0?
-1, 2, 386
Suppose -9*k**4/5 - 21*k**3/5 + 66*k**2/5 + 24*k/5 = 0. Calculate k.
-4, -1/3, 0, 2
Determine s, given that 3*s**2/5 - 24*s/5 - 27/5 = 0.
-1, 9
Let 3*g**2 + 105*g + 198 = 0. What is g?
-33, -2
Determine g so that 14*g**4 - 46*g**3 + 40*g**2 - 8*g = 0.
0, 2/7, 1, 2
Let -t**2/4 + 6*t - 143/4 = 0. Calculate t.
11, 13
Factor -k**3/2 + 33*k**2 - 423*k/2 + 295.
-(k - 59)*(k - 5)*(k - 2)/2
Solve -16*v**4 - 436*v**3 + 340*v**2 + 112*v = 0.
-28, -1/4, 0, 1
Factor 2*j**3 + 86*j**2 + 966*j + 882.
2*(j + 1)*(j + 21)**2
Let f**3/6 - 2*f**2/3 - 14*f/3 - 16/3 = 0. Calculate f.
-2, 8
Suppose 4*c**2 + 1056*c - 1060 = 0. What is c?
-265, 1
Suppose 14*a**3/13 - 4*a**2/13 - 56*a/13 + 16/13 = 0. What is a?
-2, 2/7, 2
Factor 2*r**3/3 - 4852*r**2 + 11770952*r - 28556329552/3.
2*(r - 2426)**3/3
Factor -u**4/8 - 25*u**3/4 - 933*u**2/8 - 1925*u/2 - 5929/2.
-(u + 11)**2*(u + 14)**2/8
Find c such that 4*c**5 + 8*c**4 - 48*c**3 - 56*c**2 + 44*c + 48 = 0.
-4, -1, 1, 3
Solve -2*r**2 + 74*r - 264 = 0.
4, 33
Factor 3*i**5/5 - 369*i**4/5 + 11889*i**3/5 - 33483*i**2/5 + 6552*i - 2160.
3*(i - 60)**2*(i - 1)**3/5
Find j such that 2*j**5/9 - 80*j**4/9 - 244*j**3/9 + 2320*j**2 + 15138*j = 0.
-9, 0, 29
Solve -13*p**5/4 - 45*p**4/4 - 9*p**3/2 + 13*p**2 + 6*p = 0 for p.
-2, -6/13, 0, 1
Determine h so that 3*h**3 + 39*h**2 + 153*h + 189 = 0.
-7, -3
Factor 6*w**3/7 - 72*w**2/7 + 270*w/7 - 324/7.
6*(w - 6)*(w - 3)**2/7
Factor w**4/2 - 17*w**3/2 - 30*w**2 - 2*w + 40.
(w - 20)*(w - 1)*(w + 2)**2/2
Factor -4*g**2 + 132*g + 136.
-4*(g - 34)*(g + 1)
Factor 4*r**2 + 84*r.
4*r*(r + 21)
Find p, given that p**5/3 + 2*p**4/3 - 4*p**3/3 - 2*p**2/3 + p = 0.
-3, -1, 0, 1
Factor i**4 - 67*i**3/9 + 28*i**2/3 + 160*i/9.
i*(i - 4)*(i + 1)*(9*i - 40)/9
Factor -2*z**3/7 + 158*z**2/7 - 3198*z/7 + 3042/7.
-2*(z - 39)**2*(z - 1)/7
What is s in 7*s**4/6 + 397*s**3/6 - 19*s**2 = 0?
-57, 0, 2/7
Factor -t**2/3 - 148*t - 16428.
-(t + 222)**2/3
Factor -2*p**2/7 - 64*p/7 - 512/7.
-2*(p + 16)**2/7
Let -2*o**2/15 + 1576*o/15 + 526/5 = 0. What is o?
-1, 789
Determine s, given that s**2/2 - 100*s - 618 = 0.
-6, 206
Factor 98*c**5/5 - 2982*c**4 + 150372*c**3 - 2469420*c**2 - 2200446*c - 2387718/5.
2*(c - 51)**3*(7*c + 3)**2/5
Factor 35*o**3 - 31*o**2 + 6*o.
o*(5*o - 3)*(7*o - 2)
Determine u so that -30*u**5 + 177*u**4 - 342*u**3 + 204*u**2 + 24*u = 0.
-1/10, 0, 2
Factor 2*i**2 - 2492*i + 776258.
2*(i - 623)**2
Factor -2*d**4 + 14*d**3 - 22*d**2 + 10*d.
-2*d*(d - 5)*(d - 1)**2
Determine k, given that 3*k**5 - 18*k**4 + 9*k**3 + 30*k**2 = 0.
-1, 0, 2, 5
Determine u, given that -u**2/3 - 13*u/3 = 0.
-13, 0
Factor -2*o**2 - 18*o - 36.
-2*(o + 3)*(o + 6)
Find h such that -h**5/2 - 7*h**4/2 + 33*h**3/2 + 19*h**2/2 - 52*h + 30 = 0.
-10, -2, 1, 3
Factor -2*n**4 - 198*n**3 - 580*n**2 - 384*n.
-2*n*(n + 1)*(n + 2)*(n + 96)
Factor -3*b**3/5 + 639*b**2/5 + 3*b/5 - 639/5.
-3*(b - 213)*(b - 1)*(b + 1)/5
Solve -3*o**3 - 123*o**2 + 1662*o - 2808 = 0.
-52, 2, 9
What is r in 16*r**3 - 2308*r**2 + 83520*r - 20736 = 0?
1/4, 72
Factor 7*r**2/5 + 2698*r/5 + 231.
(r + 385)*(7*r + 3)/5
Factor -r**2/2 - 13*r - 165/2.
-(r + 11)*(r + 15)/2
Factor c**3 + 13*c**2 + 44*c + 32.
(c + 1)*(c + 4)*(c + 8)
What is w in w**2 + 126*w + 3969 = 0?
-63
Find a such that -a**2 + 46*a - 88 = 0.
2, 44
Factor -2*t**2/5 - 188*t/5 + 38.
-2*(t - 1)*(t + 95)/5
Solve -3*i**5 - 21*i**4 - 45*i**3 - 15*i**2 + 48*i + 36 = 0.
-3, -2, -1, 1
Factor 2*i**2/9 - 724*i/9 - 242/3.
2*(i - 363)*(i + 1)/9
What is c in -4*c**3/7 - 12*c**2/7 + 72*c/7 + 160/7 = 0?
-5, -2, 4
Find o such that 6*o**2/7 + 272*o + 634/7 = 0.
-317, -1/3
Determine b so that -b**5/4 + 39*b**4/4 - 95*b**3/2 - 135*b**2/2 + 191*b/4 + 231/4 = 0.
-1, 1, 7, 33
Suppose 3*p**2/4 + 51*p/2 + 675/4 = 0. What is p?
-25, -9
Find i, given that -5292*i**5/5 + 110124*i**4/5 - 562323*i**3/5 - 110124*i**2/5 - 5292*i/5 = 0.
-2/21, 0, 21/2
Factor m**2 + 8*m - 65.
(m - 5)*(m + 13)
What is z in 50*z**3/9 + 20*z**2 + 18*z = 0?
-9/5, 0
Let 5*m**3/3 - 35*m**2/3 - 800*m/3 + 6500/3 = 0. Calculate m.
-13, 10
Let -4*n**4/3 + 8*n**3 + 4*n**2 - 224*n/3 + 64 = 0. What is n?
-3, 1, 4
Suppose -2*l**4/5 + 104*l**3/5 - 194*l**2/5 - 60*l = 0. Calculate l.
-1, 0, 3, 50
Find s such that -1147*s**4/2 + 1145*s**3/2 + 1149*s**2/2 - 1145*s/2 - 1 = 0.
-1, -2/1147, 1
Factor -5*v**2 - 4640*v - 1076480.
-5*(v + 464)**2
Suppose 2*v**5/3 + 2*v**4/3 - 8*v**3 = 0. Calculate v.
-4, 0, 3
Factor -4*c**4 + 12*c**3 + 36*c**2 - 92*c + 48.
-4*(c - 4)*(c - 1)**2*(c + 3)
Factor -2*l**5/5 + 2*l**3/5.
-2*l**3*(l - 1)*(l + 1)/5
Find s such that -s**5 + 9*s**4 - 24*s**3 + 16*s**2 = 0.
0, 1, 4
Determine a, given that 21*a**4 + 99*a**3 - 30*a**2 = 0.
-5, 0, 2/7
Determine u, given that 2*u**2/3 - 5176*u/3 + 3348872/3 = 0.
1294
Let 2*a**2/13 - 80*a/13 - 258/13 = 0. Calculate a.
-3, 43
Find l such that -4*l**2 - 18256*l - 18252 = 0.
-4563, -1
Determine j, given that -5*j**3 + 70*j**2 - 45*j - 1620 = 0.
-4, 9
Suppose -3*y**4 + 135*y**3 + 9*y**2 - 411*y + 270 = 0. What is y?
-2, 1, 45
Factor -3*f**4 - 39*f**3 + 9*f**2 + 111*f - 78.
-3*(f - 1)**2*(f + 2)*(f + 13)
Determine u so that u**3/10 + u**2/2 + 7*u/10 + 3/10 = 0.
-3, -1
Factor -2*g**5 + 148*g**4 - 146*g**3.
-2*g**3*(g - 73)*(g - 1)
Let -2*v**4 - 14*v**3 + 68*v**2 + 80*v = 0. Calculate v.
-10, -1, 0, 4
Solve 2*d**4/5 + 58*d**3/5 - 6*d**2/5 - 178*d/5 - 116/5 = 0 for d.
-29, -1, 2
Suppose 5*l**5 + 17*l**4/3