- 10023/4 = 0 for x.
-3341, 1
Suppose 2*n**3/9 + 298*n**2/9 - 602*n/9 + 302/9 = 0. What is n?
-151, 1
Determine s so that -3*s**4 - 1964*s**3 - 322094*s**2 - 213204*s + 106929 = 0.
-327, -1, 1/3
Let 3*g**4 - 69*g**3/4 + 45*g**2/2 - 21*g/4 - 3 = 0. Calculate g.
-1/4, 1, 4
Factor -13*i**2/4 + 7*i - 1.
-(i - 2)*(13*i - 2)/4
Solve -u**2/2 - 51*u + 103/2 = 0 for u.
-103, 1
Let -16*f**2/7 - 276*f/7 - 68/7 = 0. Calculate f.
-17, -1/4
Factor 5*o**2 - 35*o + 50.
5*(o - 5)*(o - 2)
Solve -4*t**2 - 920*t - 52900 = 0 for t.
-115
Solve 5*q**5/2 + 50*q**4 + 135*q**3 + 130*q**2 + 85*q/2 = 0 for q.
-17, -1, 0
Suppose -2*m**3/13 - 10*m**2/13 + 12*m/13 = 0. Calculate m.
-6, 0, 1
Find q, given that -4*q**2 + 48*q - 128 = 0.
4, 8
Solve -2*r**5/5 + 8*r**4/5 + 24*r**3/5 - 44*r**2/5 - 118*r/5 - 12 = 0 for r.
-2, -1, 3, 5
Let -3*d**3/8 + d**2 + 33*d/8 + 5/4 = 0. What is d?
-2, -1/3, 5
Solve -4*f**5 - 16*f**4 + 104*f**3 - 176*f**2 + 124*f - 32 = 0.
-8, 1
What is n in 2*n**4 - 442*n**3 + 430*n**2 + 2194*n + 1320 = 0?
-1, 3, 220
Find f, given that 3*f**5 - 27*f**4 + 21*f**3 + 27*f**2 - 24*f = 0.
-1, 0, 1, 8
Determine c so that 2*c**5/5 - 1212*c**4/5 - 486*c**3 - 1216*c**2/5 = 0.
-1, 0, 608
Solve -39*g**5/7 + 279*g**4/7 + 309*g**3/7 - 4539*g**2/7 + 4590*g/7 - 600/7 = 0.
-4, 2/13, 1, 5
Let -2*x**2/9 + 18*x + 680/9 = 0. What is x?
-4, 85
Factor -2*p**4/9 + 16*p**3/9 + 2*p**2/9 - 16*p/9.
-2*p*(p - 8)*(p - 1)*(p + 1)/9
Suppose -3*m**4 - 21*m**3 - 48*m**2 - 36*m = 0. Calculate m.
-3, -2, 0
Factor -2*l**4/3 - 10*l**3/3 - 6*l**2 - 14*l/3 - 4/3.
-2*(l + 1)**3*(l + 2)/3
Factor 34*k**3/9 + 4*k**2/3 - 34*k/9 - 4/3.
2*(k - 1)*(k + 1)*(17*k + 6)/9
What is y in -4*y**3/7 + 276*y**2/7 - 3996*y/7 - 27380/7 = 0?
-5, 37
Factor -2*w**4 + 148*w**3 - 834*w**2 + 1232*w - 544.
-2*(w - 68)*(w - 4)*(w - 1)**2
Factor 5*j**3 + 100*j**2 - 335*j + 230.
5*(j - 2)*(j - 1)*(j + 23)
Factor q**2/6 + 127*q/6 + 476/3.
(q + 8)*(q + 119)/6
Factor -2*c**3/17 + 732*c**2/17 - 89304*c/17 + 3631696/17.
-2*(c - 122)**3/17
Find o, given that -3*o**2 + 9*o + 120 = 0.
-5, 8
Determine o, given that -o**4/4 - 3*o**3 - 9*o**2/2 + 19*o - 45/4 = 0.
-9, -5, 1
Let -2*n**5/3 - n**4/3 + 5*n**3/3 - 2*n**2/3 = 0. What is n?
-2, 0, 1/2, 1
Factor 2*t**5/5 + 4*t**4/5 - 72*t**3/5 + 176*t**2/5 - 128*t/5.
2*t*(t - 2)**3*(t + 8)/5
Factor -3*j**2/4 - 21*j/2 + 294.
-3*(j - 14)*(j + 28)/4
Let -5*t**5/3 + 23*t**4/3 - 20*t**3/3 - 32*t**2/3 + 32*t/3 + 16/3 = 0. What is t?
-1, -2/5, 2
Let -2*t**5/3 + 202*t**4/3 + 428*t**3/3 - 1648*t**2/3 = 0. Calculate t.
-4, 0, 2, 103
Suppose u**2/2 + 704*u + 247808 = 0. What is u?
-704
Suppose 3*x**4 + 36*x**3 = 0. Calculate x.
-12, 0
Suppose 2*j**5/11 + 4*j**4/11 - 2*j**3/11 - 4*j**2/11 = 0. What is j?
-2, -1, 0, 1
Factor -2*z**2 - 5996*z - 4494002.
-2*(z + 1499)**2
Find b, given that -2*b**4/11 - 6*b**3/11 + 70*b**2/11 + 150*b/11 - 500/11 = 0.
-5, 2, 5
Find y, given that 2*y**2 - 16*y - 40 = 0.
-2, 10
What is j in 8*j**3 - 20*j**2 + 16*j - 4 = 0?
1/2, 1
Determine c, given that -2*c**4 - 1054*c**3/7 + 1856*c**2/7 + 88*c = 0.
-77, -2/7, 0, 2
Solve 3*q**3/7 - 51*q**2/7 + 93*q/7 - 45/7 = 0 for q.
1, 15
Solve m**3 - 2*m**2 - 11*m + 12 = 0.
-3, 1, 4
Determine g so that -g**5/4 - 47*g**4/4 - 186*g**3 - 1098*g**2 - 1620*g + 2916 = 0.
-18, -6, 1
Factor -b**2/2 + 201*b/2.
-b*(b - 201)/2
Factor -4*b**3 - 230*b**2 - 3248*b + 1682.
-2*(b + 29)**2*(2*b - 1)
What is j in -3*j**3 + 57*j**2 - 234*j = 0?
0, 6, 13
What is x in -3*x**4/4 + 27*x**3/4 + 99*x**2/4 + 105*x/4 + 9 = 0?
-1, 12
Factor 2*y**2/11 - 6*y/11 - 80/11.
2*(y - 8)*(y + 5)/11
Factor -2*b**3/11 + 2*b**2/11 + 24*b/11.
-2*b*(b - 4)*(b + 3)/11
Find z, given that 6*z**4/7 - 24*z**3/7 - 30*z**2/7 + 216*z/7 - 216/7 = 0.
-3, 2, 3
Solve -4*r**3 - 192*r**2 + 4*r + 192 = 0.
-48, -1, 1
Factor 4*v**4 - 24*v**3 + 44*v**2 - 24*v.
4*v*(v - 3)*(v - 2)*(v - 1)
Factor r**3/4 + 15*r**2/4 + 27*r/4 + 13/4.
(r + 1)**2*(r + 13)/4
Factor m**3 - 775*m**2.
m**2*(m - 775)
Factor -2*v**3/5 - 6*v**2/5 + 2*v/5 + 6/5.
-2*(v - 1)*(v + 1)*(v + 3)/5
Suppose -3*m**2 + 12*m + 15 = 0. Calculate m.
-1, 5
Factor 4*w**3 - 28*w + 24.
4*(w - 2)*(w - 1)*(w + 3)
Factor -36*r**3 - 9496*r**2 - 625152*r + 139392.
-4*(r + 132)**2*(9*r - 2)
Suppose -a**4/6 + 5*a**3 - 14*a**2 + 41*a/3 - 9/2 = 0. What is a?
1, 27
Determine l, given that 3*l**3 - 219*l**2 - 447*l - 225 = 0.
-1, 75
Factor -2*b**2 + 412*b - 410.
-2*(b - 205)*(b - 1)
Solve -57*j**2 + 1251*j + 66 = 0 for j.
-1/19, 22
Determine g, given that -3*g**3 + 107*g**2/5 + 102*g/5 + 16/5 = 0.
-2/3, -1/5, 8
Factor -2*y**3/5 - 76*y**2/5 + 2*y/5 + 76/5.
-2*(y - 1)*(y + 1)*(y + 38)/5
Let -15*p**4 - 114*p**3 - 309*p**2 - 354*p - 144 = 0. What is p?
-3, -2, -8/5, -1
Determine s so that s**2/9 - 316*s/3 + 24964 = 0.
474
Determine p so that -7*p**3/4 - 13247*p**2/4 - 1567522*p - 671187 = 0.
-946, -3/7
Solve -3*k**4 - 51*k**3 + 630*k**2 - 1812*k + 1560 = 0 for k.
-26, 2, 5
Find v, given that 2*v**4/13 + 20*v**3/13 + 2*v**2 - 120*v/13 + 72/13 = 0.
-6, 1
Factor 87*r**2/7 + 198*r - 96/7.
3*(r + 16)*(29*r - 2)/7
Factor 3*t**2 - 2179*t - 1454.
(t - 727)*(3*t + 2)
Factor 2*m**5 - 2*m**4 - 28*m**3 + 48*m**2.
2*m**2*(m - 3)*(m - 2)*(m + 4)
Find c such that 21*c**2 - 4101*c + 1170 = 0.
2/7, 195
Factor p**2 - 1261*p - 1262.
(p - 1262)*(p + 1)
What is m in 2*m**4 + 100*m**3 - 886*m**2 + 2400*m - 2088 = 0?
-58, 2, 3
Factor -3*f**3/7 + 480*f**2/7 - 1884*f/7 + 1872/7.
-3*(f - 156)*(f - 2)**2/7
Let q**4 + 40*q**3 + 472*q**2 + 1440*q + 1296 = 0. Calculate q.
-18, -2
Suppose 7*h**5 + 201*h**4 + 502*h**3 + 204*h**2 - 104*h = 0. Calculate h.
-26, -2, -1, 0, 2/7
Factor -y**4/2 + 13*y**3 - 49*y**2/2 + 12*y.
-y*(y - 24)*(y - 1)**2/2
Factor -3*d**3 - 15*d**2 + 3*d + 15.
-3*(d - 1)*(d + 1)*(d + 5)
Suppose 2*m**3/9 + 52*m**2/9 - 2*m/9 - 52/9 = 0. Calculate m.
-26, -1, 1
Factor 3*z**2/5 + 1173*z/5.
3*z*(z + 391)/5
Factor 3*x**3/5 + 48*x**2/5 - 33*x + 114/5.
3*(x - 2)*(x - 1)*(x + 19)/5
Let 2*u**2/5 + 508*u/5 + 32258/5 = 0. What is u?
-127
Determine d so that -d**5/6 + 4*d**4/3 - 8*d**3/3 + d**2/3 + 17*d/6 - 5/3 = 0.
-1, 1, 2, 5
Factor -3*i**4 - 9*i**3 - 3*i**2 + 9*i + 6.
-3*(i - 1)*(i + 1)**2*(i + 2)
Let -3*u**2 - 11628*u - 11267532 = 0. Calculate u.
-1938
Factor 14*x**4/9 - 38*x**3/9 - 4*x**2/3.
2*x**2*(x - 3)*(7*x + 2)/9
Find l such that -2*l**3 + 70*l**2 + 72*l = 0.
-1, 0, 36
Let r**3/4 + 6285*r**2/4 + 13167075*r/4 + 9195007375/4 = 0. Calculate r.
-2095
Suppose -2*d**3/3 - 760*d**2/3 - 72200*d/3 = 0. Calculate d.
-190, 0
Factor -2*m**3/9 + 932*m**2/3 - 2794*m/9.
-2*m*(m - 1397)*(m - 1)/9
Let 4*d**5 - 28*d**4 + 20*d**3 + 28*d**2 - 24*d = 0. Calculate d.
-1, 0, 1, 6
Let 6*m**2/5 + 154*m/5 + 20 = 0. Calculate m.
-25, -2/3
Factor -2*s**3 + 236*s**2 - 9042*s + 113256.
-2*(s - 52)*(s - 33)**2
Let 3*o**3 + 60*o**2 = 0. Calculate o.
-20, 0
Determine w, given that -3*w**4 - 27*w**3 - 9*w**2 + 111*w - 72 = 0.
-8, -3, 1
Suppose 4*l**2 - 220*l + 2296 = 0. What is l?
14, 41
Factor 3*j**2 + 576*j - 579.
3*(j - 1)*(j + 193)
Factor d**2/5 + 27*d/5 - 58/5.
(d - 2)*(d + 29)/5
Factor -3*p**3 - 192*p**2 - 189*p.
-3*p*(p + 1)*(p + 63)
Determine j, given that 8*j**5/7 - 152*j**4/7 + 626*j**3/7 + 1084*j**2/7 - 1480*j/7 + 400/7 = 0.
-2, 1/2, 10
Factor -3*s**3/5 - 3*s**2/5 + 78*s/5 - 72/5.
-3*(s - 4)*(s - 1)*(s + 6)/5
Factor -5*b**5 + 1110*b**4 - 62705*b**3 + 122100*b**2 - 60500*b.
-5*b*(b - 110)**2*(b - 1)**2
Factor 125*k**4 + 725*k**3/2 + 330*k**2 + 90*k.
5*k*(2*k + 1)*(5*k + 6)**2/2
Find n, given that -32*n**5 + 9584*n**4 - 969368*n**3 + 34344980*n**2 - 126051632*n + 122325968 = 0.
2, 197/2
Solve -6*d**4 + 182*d**3 - 708*d**2 + 840*d - 208 = 0.
1/3, 2, 26
Factor 4*z**4/5 - 36*z**2/5 + 16*z/5 + 48/5.
4*(z - 2)**2*(z + 1)*(z + 3)/5
Factor -y**5/2 + 5*y**4 + 48*y**3 - 512*y**2 - 1024*y + 12288.
-(y - 8)**3*(y + 6)*(y + 8)/2
What is u in 2*u**5/7 - 64*u**4/7 + 284*u**3/7 + 3656*u**2/7 + 6194*u/7 + 2888/7 = 0?
-4, -1, 19
What is c in 5*c**2 - 390*c + 7605 = 0?
39
Suppose 3*d**3/5 + 852*d**2/5 - 171*d = 0. Calculate d.
-285, 0, 1
Factor -4*a**5 + 944*a**4 - 54740*a**3 - 113288*a**2.
-4*a**2*(a - 119)**2*(a + 2)
Find w such that 5*w**2/4 + 25*w/2 + 30 = 0.
-6, -4
Factor t**2 - 9*t - 22.
(t - 11)*(t + 2)
What is l in 45*l**4 - 7230*l**3 - 2455*l**2 + 6420*l + 3220 = 0?
-2/3, 1, 161
Factor -2*d**2 + 340*d - 338.
-2