u**3 + 49*u**2/3 + 13*u.
-u*(u - 13)*(u + 1)*(u + 3)/3
Find a, given that -4*a**4 + 64*a**3 - 360*a**2 + 800*a - 500 = 0.
1, 5
Find i, given that 5*i**3 - 30350*i**2 - 60715*i - 30360 = 0.
-1, 6072
Factor -2*l**2 - 1600*l - 320000.
-2*(l + 400)**2
Factor 484*u**3 - 990*u**2 + 168*u + 392.
2*(2*u + 1)*(11*u - 14)**2
Factor 3*a**2/2 + 1179*a + 463347/2.
3*(a + 393)**2/2
Solve 2*f**3/3 + 20*f**2/3 - 16*f = 0.
-12, 0, 2
Let -3*n**3 + 3*n**2 + 6*n = 0. What is n?
-1, 0, 2
What is h in h**5/5 - 15*h**4 + 315*h**3 - 2025*h**2 = 0?
0, 15, 45
Determine m so that 2*m**5 - 10*m**4 - 36*m**3 + 244*m**2 - 350*m + 150 = 0.
-5, 1, 3, 5
Let -8*v**5/7 + 10*v**4 - 150*v**3/7 + 110*v**2/7 - 10*v/7 - 12/7 = 0. Calculate v.
-1/4, 1, 6
Determine s so that 2*s**4 - 82*s**3 - 988*s**2 - 1632*s = 0.
-8, -2, 0, 51
Factor 4*z**4 - 36*z**3 - 264*z**2 - 224*z.
4*z*(z - 14)*(z + 1)*(z + 4)
Solve 2*i**5/9 - 2*i**4/3 - 10*i**3/9 + 6*i**2 - 64*i/9 + 8/3 = 0 for i.
-3, 1, 2
Let -3*k**4/4 + 6*k**3 + 99*k**2/4 + 3*k - 33 = 0. What is k?
-2, 1, 11
Find l such that -l**2/4 - 35*l/4 = 0.
-35, 0
Find r, given that -3*r**2 - 30*r + 33 = 0.
-11, 1
Factor -3*t**3/8 - 3417*t**2/8 - 974697*t/8 - 971283/8.
-3*(t + 1)*(t + 569)**2/8
Determine a so that -2*a**5/9 + 74*a**4/3 - 850*a**3/9 - 670*a**2/9 + 1004*a/3 - 1712/9 = 0.
-2, 1, 4, 107
Factor u**3 + 29*u**2 - 62*u.
u*(u - 2)*(u + 31)
Find v, given that -2*v**5/9 + 118*v**4/9 - 1252*v**3/9 - 15364*v**2/9 + 418*v/3 + 1694 = 0.
-7, -1, 1, 33
Factor b**4 - 726*b**2 + 10648*b - 43923.
(b - 11)**3*(b + 33)
Find i such that -2*i**2/15 + 16*i/5 - 96/5 = 0.
12
Determine b so that 2*b**3/5 + 4*b**2/5 - 686*b/5 + 136 = 0.
-20, 1, 17
Suppose -8*v**5 - 26*v**4 + 27*v**3 + 11*v**2 - 4*v = 0. What is v?
-4, -1/2, 0, 1/4, 1
Suppose -c**5/4 + c**4 - c**3/2 - c**2 + 3*c/4 = 0. Calculate c.
-1, 0, 1, 3
Find z, given that -4*z**3 - 76*z**2 - 252*z - 180 = 0.
-15, -3, -1
Suppose -73*l**3 - 2047*l**2/2 - 3598*l - 147/2 = 0. What is l?
-7, -3/146
Factor -3*k**4 + 1344*k**3 - 7992*k**2 + 15936*k - 10608.
-3*(k - 442)*(k - 2)**3
Determine c so that -15*c**4 - 66*c**3 + 531*c**2 + 822*c + 240 = 0.
-8, -1, -2/5, 5
Factor 3*p**4/5 - 2*p**3/5 - 7*p**2/5 - 2*p/5.
p*(p - 2)*(p + 1)*(3*p + 1)/5
Determine i, given that 3*i**2 - 225*i = 0.
0, 75
Determine c, given that 5*c**4 + 3440*c**3 - 13840*c**2 = 0.
-692, 0, 4
Suppose -g**3/6 + 14*g**2/3 + 34*g/3 - 40 = 0. What is g?
-4, 2, 30
Factor -106*s**2/3 - 178*s/3 - 24.
-2*(s + 1)*(53*s + 36)/3
Solve -n**2 + 222*n - 12321 = 0.
111
Solve -h**3 - 90*h**2 + 283*h + 372 = 0 for h.
-93, -1, 4
Suppose v**4/4 - 11*v**3/4 - 13*v**2/4 + 155*v/4 - 33 = 0. What is v?
-4, 1, 3, 11
Let -2*v**4/5 - 74*v**3/5 - 132*v**2/5 + 296*v/5 + 112 = 0. Calculate v.
-35, -2, 2
What is t in 2*t**3/11 + 108*t**2/11 - 10*t = 0?
-55, 0, 1
Factor 4*a**2/7 - 888*a/7 + 49284/7.
4*(a - 111)**2/7
Find u such that 5*u**2 - 60*u + 100 = 0.
2, 10
Find y, given that y**3/11 - 87*y**2/11 + 252*y/11 = 0.
0, 3, 84
Find j such that -j**5/2 + j**4/2 + j**3 - j**2 - j/2 + 1/2 = 0.
-1, 1
Find q, given that -14*q**3/5 - 198*q**2/5 - 714*q/5 - 98/5 = 0.
-7, -1/7
Let 4*q**4 - 36*q**3 + 52*q**2 + 180*q - 200 = 0. What is q?
-2, 1, 5
Find i, given that i**4/2 + 100*i**3 + 5467*i**2 + 45980*i + 81225/2 = 0.
-95, -9, -1
Solve 5*z**3/4 + 30*z**2 + 240*z + 640 = 0 for z.
-8
Factor -5*a**2 - 630*a - 19845.
-5*(a + 63)**2
Solve -20*j**2 - 575*j + 145 = 0 for j.
-29, 1/4
Factor v**3/4 - 7*v**2 - v/4 + 7.
(v - 28)*(v - 1)*(v + 1)/4
Find r such that -r**4 + 2528*r**3 - 2396544*r**2 + 1009743872*r - 159539531776 = 0.
632
Determine u so that -3*u**3 + 30*u**2 + 264*u + 384 = 0.
-4, -2, 16
Solve 5*c**4 - 145*c**3 + 900*c**2 + 6480*c - 60480 = 0.
-7, 12
Suppose k**2/3 - 5*k = 0. Calculate k.
0, 15
Factor 32*l**3/9 - 11*l**2 + 73*l/9 - 2/3.
(l - 2)*(l - 1)*(32*l - 3)/9
Solve -15*r**5 + 12354*r**4 - 19731*r**3 + 2460*r**2 + 4932*r = 0 for r.
-2/5, 0, 1, 822
Find b, given that b**4/9 + 2*b**3/9 - 28*b**2/3 + 190*b/9 + 275/9 = 0.
-11, -1, 5
Solve 48*v**3 - 2184*v**2 + 1083*v - 135 = 0 for v.
1/4, 45
Factor -5*y**2 + 175*y - 170.
-5*(y - 34)*(y - 1)
Determine a, given that -2*a**2 + 64*a + 456 = 0.
-6, 38
Factor -n**2 - 5*n + 14.
-(n - 2)*(n + 7)
Factor -28*p**4/5 - 176*p**3/5 - 48*p**2/5.
-4*p**2*(p + 6)*(7*p + 2)/5
Determine n, given that n**3/3 - 214*n**2 + 45796*n - 9800344/3 = 0.
214
Determine v so that 5*v**2 - 275*v + 1020 = 0.
4, 51
Let 20*i**4 + 892*i**3 + 8280*i**2 - 38016*i + 13824 = 0. Calculate i.
-24, 2/5, 3
Suppose 16*s**4 - 100*s**3 + 104*s**2 - 20*s = 0. What is s?
0, 1/4, 1, 5
Factor z**2/3 - 59*z + 2720/3.
(z - 160)*(z - 17)/3
Determine j so that -54*j**5 + 210*j**4 + 190*j**3 - 970*j**2 - 120*j + 72 = 0.
-2, -1/3, 2/9, 3
Find g, given that 3*g**4 - 453*g**3 + 17319*g**2 - 15975*g - 33750 = 0.
-1, 2, 75
Factor -3*j**4 + 12*j**3 + 12*j**2 - 48*j.
-3*j*(j - 4)*(j - 2)*(j + 2)
Factor t**3/3 + 25*t**2/3 - 112*t/3 + 116/3.
(t - 2)**2*(t + 29)/3
Suppose 2*r**2 - 16100*r + 32401250 = 0. What is r?
4025
Suppose 15*n**4/2 - 103*n**3/4 + 6*n**2 + 43*n/4 + 3/2 = 0. Calculate n.
-2/5, -1/6, 1, 3
Suppose -d**5 + 145*d**4 - 287*d**3 + 143*d**2 = 0. Calculate d.
0, 1, 143
Let -2*f**4 + 2*f**3 + 4*f**2 = 0. Calculate f.
-1, 0, 2
Let 2*j**5/11 + 30*j**4/11 + 148*j**3/11 + 20*j**2 - 150*j/11 - 250/11 = 0. Calculate j.
-5, -1, 1
Factor -2*c**2/5 - 308*c/5 - 608/5.
-2*(c + 2)*(c + 152)/5
Factor 4*t**2 - 880*t - 884.
4*(t - 221)*(t + 1)
Factor -16*o**2/7 + 4*o + 60/7.
-4*(o - 3)*(4*o + 5)/7
Let 900*k**5 + 6280*k**4 + 7344*k**3 - 12320*k**2 + 4608*k - 512 = 0. Calculate k.
-4, 2/9, 2/5
Solve 3*n**2 + 3090*n + 795675 = 0.
-515
Let 39*d**5 - 150*d**4 - 1038*d**3 + 2184*d**2 + 9135*d + 1350 = 0. Calculate d.
-3, -2/13, 5
Factor -4*g**3 + 224*g**2.
-4*g**2*(g - 56)
Factor -5*g**3 + 5*g**2 + 25*g + 15.
-5*(g - 3)*(g + 1)**2
Determine g, given that 28*g**5 - 2666*g**4 + 3205*g**3 - 1687*g**2/2 - 236*g + 94 = 0.
-2/7, 1/2, 94
What is r in -3*r**2/2 + 183*r - 11163/2 = 0?
61
What is b in -2*b**2 + 74*b + 76 = 0?
-1, 38
Factor c**5 - 3*c**4 + 4*c**2.
c**2*(c - 2)**2*(c + 1)
Determine z, given that -2*z**3/5 - 46*z**2/5 - 64*z - 120 = 0.
-10, -3
Find h such that -116*h**2 + 224*h + 16 = 0.
-2/29, 2
Factor -2*x**3/5 - 4*x**2/5 + 2*x + 12/5.
-2*(x - 2)*(x + 1)*(x + 3)/5
Find l, given that -l**2 + 2837*l - 2836 = 0.
1, 2836
Factor 2*f**2/9 - 10*f + 172/9.
2*(f - 43)*(f - 2)/9
Suppose 8*c**5 - 14*c**4 - 36*c**3 + 8*c**2 + 28*c + 6 = 0. Calculate c.
-1, -1/4, 1, 3
Solve -2*t**5 + 206*t**4 - 5200*t**3 - 5408*t**2 = 0 for t.
-1, 0, 52
Let -3*r**3/7 + 39*r**2/7 - 117*r/7 + 81/7 = 0. Calculate r.
1, 3, 9
What is v in 2*v**3/3 - 56*v**2/3 + 50*v = 0?
0, 3, 25
Find y, given that -y**5 - 123*y**4/5 - 198*y**3 - 2464*y**2/5 + 1152*y/5 = 0.
-9, -8, 0, 2/5
Factor 2*r**2/3 + 508*r/3 - 1024/3.
2*(r - 2)*(r + 256)/3
Find l, given that -l**2/4 - 11*l = 0.
-44, 0
Find s such that -2*s**2/3 - 304*s/3 - 302/3 = 0.
-151, -1
Factor 26*t**2/11 - 10*t/11.
2*t*(13*t - 5)/11
Factor 4*z**4 + 8*z**3 - 4*z**2 - 8*z.
4*z*(z - 1)*(z + 1)*(z + 2)
Factor 2*x**3 - 1884*x**2 + 5638*x - 3756.
2*(x - 939)*(x - 2)*(x - 1)
Let -5*g**5 - 15*g**4 - 15*g**3 - 5*g**2 = 0. What is g?
-1, 0
Factor -5*j**4 + 135*j**3 - 975*j**2 + 845*j.
-5*j*(j - 13)**2*(j - 1)
Solve -2*f**4/11 - 6*f**3/11 + 8*f**2/11 = 0.
-4, 0, 1
Factor 4*b**3 + 628*b**2 - 2560*b + 2576.
4*(b - 2)**2*(b + 161)
What is n in -2*n**2 + 4*n + 48 = 0?
-4, 6
Solve 4*p**2 - 11212*p + 11208 = 0 for p.
1, 2802
Determine c, given that -3*c**3 - 144*c**2 - 1863*c - 3174 = 0.
-23, -2
Solve 2*y**4 + 142*y**3 - 300*y**2 - 568*y + 1168 = 0.
-73, -2, 2
Solve -o**4/6 + 7*o**2/2 - 10*o/3 = 0 for o.
-5, 0, 1, 4
Determine i so that -90774*i**2 - 1968*i - 32/3 = 0.
-4/369
Let -5*k**4/4 - 145*k**3/4 + 555*k**2 - 2380*k + 3280 = 0. Calculate k.
-41, 4
Factor 6*w**3 - 460*w**2 + 1178*w + 444.
2*(w - 74)*(w - 3)*(3*w + 1)
Find k such that k**3/6 + 39*k**2 - 1195*k/6 = 0.
-239, 0, 5
Determine l so that -l**2/3 + 476*l - 2852/3 = 0.
2, 1426
Factor 4*r**4 + 72*r**3 + 188*r**2 + 120*r.
4*r*(r + 1)*(r + 2)*(r + 15)
Factor -2*a**2 - 3364*a - 1414562.
-2*(a + 841)**2
Determine c so that -2*c**5/7 - 1928*c**4/7 - 5772*c**3/7 - 824*c**2 - 1922*c/7 = 0.
-961, -1, 0
Factor -36*c**3 - 640*c**2 - 2772*c + 648.
-4*(