
Let 3*r**4 - 114*r**3 + 1083*r**2 = 0. What is r?
0, 19
Find y such that -y**3/2 - 293*y**2/2 + 589*y/2 - 295/2 = 0.
-295, 1
Factor 4*s**2 - 364*s - 368.
4*(s - 92)*(s + 1)
Determine z so that 3*z**5 + 27*z**4 - 6*z**3 - 216*z**2 + 192*z = 0.
-8, -4, 0, 1, 2
Find q, given that 5*q**4 + 150*q**3 + 960*q**2 - 2560*q = 0.
-16, 0, 2
Determine i so that 4*i**3 - 26456*i**2 - 52924*i - 26464 = 0.
-1, 6616
Factor 4*s**2 - 40*s + 84.
4*(s - 7)*(s - 3)
Factor 3*t**2 + 51846*t + 224000643.
3*(t + 8641)**2
Solve -15*v**4 - 183*v**3 - 21*v**2 + 183*v + 36 = 0 for v.
-12, -1, -1/5, 1
Determine f, given that 30*f**5 + 146*f**4 + 160*f**3 - 144*f**2 - 224*f + 32 = 0.
-2, 2/15, 1
Suppose -3*o**4 + 4023*o**3 - 4017*o**2 - 4023*o + 4020 = 0. What is o?
-1, 1, 1340
Suppose -2*k**5 + 26*k**4 + 378*k**3 - 866*k**2 - 376*k + 840 = 0. What is k?
-10, -1, 1, 2, 21
Suppose -q**3/9 + 23*q**2/9 + 8*q/3 = 0. Calculate q.
-1, 0, 24
Factor 2*y**2/9 - 2*y - 380/9.
2*(y - 19)*(y + 10)/9
Factor l**2 - 5126*l + 6568969.
(l - 2563)**2
Suppose y**4 + 10*y**3 + 33*y**2 + 44*y + 20 = 0. Calculate y.
-5, -2, -1
Determine k, given that -3*k**2/5 + 177*k/5 - 342/5 = 0.
2, 57
Factor -l**4/9 + l**3 + 26*l**2/3 + 172*l/9 + 40/3.
-(l - 15)*(l + 2)**3/9
Factor -48*m**2 + 580*m - 48.
-4*(m - 12)*(12*m - 1)
Suppose -2*b**5/21 + 10*b**4/3 - 188*b**3/21 - 152*b**2/21 + 112*b/3 - 512/21 = 0. Calculate b.
-2, 1, 2, 32
Suppose -2*t**5/11 + 6*t**4/11 + 50*t**3/11 + 50*t**2/11 - 48*t/11 - 56/11 = 0. Calculate t.
-2, -1, 1, 7
Factor 2*a**3/11 + 98*a**2/11 + 96*a/11.
2*a*(a + 1)*(a + 48)/11
Solve 3*i**2/4 - 3*i/2 = 0 for i.
0, 2
Determine s so that -5*s**4 + 4*s**3 + 26*s**2 + 20*s + 3 = 0.
-1, -1/5, 3
Suppose -100*h**4 + 1980*h**3 - 1536*h**2 + 304*h = 0. Calculate h.
0, 2/5, 19
What is l in 2*l**5/3 - 224*l**3/3 + 220*l**2/3 + 74*l - 220/3 = 0?
-11, -1, 1, 10
Suppose -2*q**3 + 44*q**2 - 314*q + 720 = 0. What is q?
5, 8, 9
Factor -3*m**3 - 255*m**2 - 2217*m + 2475.
-3*(m - 1)*(m + 11)*(m + 75)
Determine w so that 6*w**4/7 + 152*w**3 + 2460*w**2/7 + 1752*w/7 + 50 = 0.
-175, -1, -1/3
Factor -u**3/5 - 168*u**2/5 + 511*u/5 - 342/5.
-(u - 2)*(u - 1)*(u + 171)/5
Let -y**4/4 + 217*y**3/4 - 11205*y**2/4 - 62937*y/4 + 36963/2 = 0. Calculate y.
-6, 1, 111
Solve s**5/9 - s**4/3 - 5*s**3/9 + 5*s**2/3 + 4*s/9 - 4/3 = 0 for s.
-2, -1, 1, 2, 3
Factor 3*n**2 - 18*n - 561.
3*(n - 17)*(n + 11)
Factor 5*v**4 - 310*v**3 - 635*v**2 - 320*v.
5*v*(v - 64)*(v + 1)**2
Determine k so that -6*k**4/5 + 88*k**3/5 - 266*k**2/5 - 32*k + 40 = 0.
-1, 2/3, 5, 10
Suppose q**2/6 + 23*q/6 + 7 = 0. What is q?
-21, -2
Factor 2*t**2/7 - 22*t/7 - 360/7.
2*(t - 20)*(t + 9)/7
Factor -42*i**2/13 + 106*i/13 + 16/13.
-2*(3*i - 8)*(7*i + 1)/13
Factor -3*s**2 - 174*s - 2523.
-3*(s + 29)**2
Solve -t**3/8 - 89*t**2/8 - 1935*t/8 + 2025/8 = 0.
-45, 1
Find g, given that -3*g**4/7 + 75*g**3/7 - 69*g**2/7 - 75*g/7 + 72/7 = 0.
-1, 1, 24
Factor 2*s**2 - 28*s - 30.
2*(s - 15)*(s + 1)
Determine o so that 4*o**3/9 - 220*o**2/9 + 1184*o/3 - 1984 = 0.
12, 31
Factor 2*h**5/5 - 22*h**4/5 + 78*h**3/5 - 122*h**2/5 + 88*h/5 - 24/5.
2*(h - 6)*(h - 2)*(h - 1)**3/5
Factor 2*d**4 - 74*d**3 + 552*d**2 + 2720*d - 3200.
2*(d - 20)**2*(d - 1)*(d + 4)
Let 62*g**3/3 + 82*g**2/3 + 20*g/3 = 0. What is g?
-1, -10/31, 0
Factor 9*n**3/5 + 39*n**2/5 + 6*n/5 - 24/5.
3*(n + 1)*(n + 4)*(3*n - 2)/5
Find h such that 2*h**3/7 + 4*h**2/7 - 2*h + 8/7 = 0.
-4, 1
Solve 2*j**4 + 168*j**3 + 3176*j**2 - 14784*j + 15488 = 0 for j.
-44, 2
Determine n, given that 4*n**4 + 12*n**3 - 20*n**2 - 12*n + 16 = 0.
-4, -1, 1
Find y, given that -2*y**4/25 - 112*y**3/25 - 1326*y**2/25 + 1368*y/5 - 216 = 0.
-30, 1, 3
Solve -3*g**2 + 600*g - 30000 = 0.
100
Factor -4*o**3/5 - 4*o**2/5 + 56*o - 160.
-4*(o - 5)*(o - 4)*(o + 10)/5
Determine i so that 2*i**3/7 + 346*i**2/7 + 14790*i/7 - 15138/7 = 0.
-87, 1
Find g such that -4*g**5 + 112*g**4 - 804*g**3 + 2456*g**2 - 3440*g + 1824 = 0.
2, 3, 19
Suppose 2*q**5/7 + 12*q**4/7 + 22*q**3/7 + 4*q**2/7 - 24*q/7 - 16/7 = 0. Calculate q.
-2, -1, 1
Factor r**3/5 - 3*r**2/5 - 5*r - 21/5.
(r - 7)*(r + 1)*(r + 3)/5
Find o, given that -3*o**3 + 558*o**2 - 25380*o - 53016 = 0.
-2, 94
Solve -55*l**5 - 1432*l**4 - 9292*l**3 + 1094*l**2 + 9347*l + 338 = 0 for l.
-13, -1, -2/55, 1
Factor 961*v**2 + 6138*v + 9801.
(31*v + 99)**2
Factor -a**3/3 - 5*a**2/3 - a + 3.
-(a - 1)*(a + 3)**2/3
Find h such that -6*h**3 - 435*h**2/2 + 168*h + 111/2 = 0.
-37, -1/4, 1
Let -b**2 - 130*b - 129 = 0. What is b?
-129, -1
Let 9*d**5/10 - 2*d**4 - 41*d**3/10 + 32*d**2/5 - 6*d/5 = 0. What is d?
-2, 0, 2/9, 1, 3
What is b in 3*b**2/8 - 123*b/8 = 0?
0, 41
Determine m, given that -35*m**5 - 185*m**4 - 155*m**3 + 145*m**2 + 190*m + 40 = 0.
-4, -1, -2/7, 1
Let -n**2/5 - 27*n/5 + 28/5 = 0. What is n?
-28, 1
Factor 2*s**2 + 2010*s.
2*s*(s + 1005)
Factor -v**3/3 + 149*v**2 - 16425*v - 50625.
-(v - 225)**2*(v + 3)/3
Factor -3*r**4/2 - 15*r**3 + 36*r**2.
-3*r**2*(r - 2)*(r + 12)/2
Suppose 3*l**3/4 + 5319*l**2/4 + 2354985*l/4 - 2360307/4 = 0. What is l?
-887, 1
Find m, given that 4*m**4/11 + 6*m**3/11 - 14*m**2/11 - 6*m/11 + 10/11 = 0.
-5/2, -1, 1
Factor i**2/3 + 169*i/3 - 114.
(i - 2)*(i + 171)/3
Suppose -4*o**5 + 484*o**4 + 2500*o**3 + 2540*o**2 - 2496*o - 3024 = 0. What is o?
-3, -2, -1, 1, 126
Suppose 4*i**2 - 512*i - 516 = 0. Calculate i.
-1, 129
Find f such that 3*f**5 - 1197*f**4 + 116352*f**3 + 612060*f**2 = 0.
-5, 0, 202
Factor -10*x**3/13 - 6*x**2/13 + 4*x/13.
-2*x*(x + 1)*(5*x - 2)/13
Factor n**2 + 1198*n + 1197.
(n + 1)*(n + 1197)
Determine g, given that 242*g**4/9 + 154*g**3/9 - 80*g**2/9 + 8*g/9 = 0.
-1, 0, 2/11
Determine f, given that -7*f**3 - 86*f**2 - 213*f - 54 = 0.
-9, -3, -2/7
What is n in 3*n**4 + 1572*n**3 + 274050*n**2 + 15802500*n - 16078125 = 0?
-175, 1
What is m in 3*m**3/4 + 27*m**2/4 + 81*m/4 + 81/4 = 0?
-3
Solve 3*n**5/2 - 1335*n**4/2 + 2661*n**3/2 - 1329*n**2/2 = 0.
0, 1, 443
What is l in 2*l**4/3 + 50*l**3/3 - 1754*l**2/3 - 3650*l/3 - 616 = 0?
-44, -1, 21
Solve 2*g**5/7 + 92*g**4/7 + 1146*g**3/7 + 2024*g**2/7 + 968*g/7 = 0.
-22, -1, 0
Factor -3*h**3/7 + 81*h**2 - 5103*h + 107163.
-3*(h - 63)**3/7
Suppose 10*m**5 - 38*m**4 + 24*m**3 + 40*m**2 - 32*m = 0. Calculate m.
-1, 0, 4/5, 2
Solve 25*t**4 + 1065*t**3 - 430*t**2 = 0 for t.
-43, 0, 2/5
Find p, given that 3*p**4 - 45*p**3 + 129*p**2 + 45*p - 132 = 0.
-1, 1, 4, 11
Find o, given that o**3/3 + 31*o**2 + 61*o + 91/3 = 0.
-91, -1
Find c, given that -20*c**5 + 44*c**4 + 48*c**3 - 80*c**2 - 64*c = 0.
-1, -4/5, 0, 2
Determine s, given that 2*s**4 - 4*s**3 - 22*s**2 + 24*s = 0.
-3, 0, 1, 4
Find w such that -3*w**2 - 45*w = 0.
-15, 0
Let -2*t**3/7 + 12*t**2/7 + 270*t/7 + 800/7 = 0. What is t?
-5, 16
Solve -25*k**3 - 3665*k**2 - 128656*k + 419628 = 0.
-374/5, 3
Solve -2*u**4/9 - 98*u**3/9 - 170*u**2 - 6358*u/9 + 19652/9 = 0.
-17, 2
Find b such that -12*b**5 + 160*b**4 + 496*b**3 + 256*b**2 = 0.
-2, -2/3, 0, 16
Let -2*c**4/9 + 150*c**3 - 1346*c**2/3 + 4034*c/9 - 448/3 = 0. What is c?
1, 672
Suppose -2*z**2 - 96*z + 770 = 0. Calculate z.
-55, 7
Factor -y**3 - 132*y**2 - 383*y + 516.
-(y - 1)*(y + 4)*(y + 129)
Factor 2*l**4/9 + 1712*l**3/3.
2*l**3*(l + 2568)/9
Find q, given that -18*q**4/7 - 64*q**3/7 - 12*q**2 - 48*q/7 - 10/7 = 0.
-1, -5/9
Factor 13*v**4 - 41*v**3 + 32*v**2 - 4*v.
v*(v - 2)*(v - 1)*(13*v - 2)
Determine c, given that -4*c**4 + 2160*c**3 - 388800*c**2 + 23328000*c = 0.
0, 180
Factor 3*b**2/2 - 195*b + 384.
3*(b - 128)*(b - 2)/2
Suppose -s**3/5 + 7*s**2/5 - 2*s = 0. What is s?
0, 2, 5
Solve 2*z**2/3 + 560*z/3 + 186 = 0.
-279, -1
Solve 4*o**4 - 168*o**3 + 2484*o**2 - 14688*o + 25920 = 0.
3, 12, 15
Let -4*v**5/11 - 18*v**4/11 + 104*v**3/11 + 696*v**2/11 + 1088*v/11 + 384/11 = 0. Calculate v.
-4, -2, -1/2, 6
Solve 4*k**3 - 108*k**2 + 764*k - 660 = 0 for k.
1, 11, 15
Solve 5*i**5 + 55*i**4 - 75*i**3 - 155*i**2 + 290*i - 120 = 0 for i.
-12, -2, 1
Factor o**2/8 - 1/8.
(o - 1)*(o + 1)/8
Let -3*y**4 - 24*y**3 - 39*y**2 - 18*y = 0. What is y?
-6, -1, 0
Factor -d**5 + d**4 + 3*d**3 - d**2 - 2*d.
-d*(d - 2)*(d - 1)*(d + 1)**2
Suppose l**3 - l**2 - 4*l + 4 = 0. What is l?
-2, 1, 2
Factor 72*t**4/7 - 48*t**3/7 - 22*t**2/7 - 2*t/7.
2*t*(t - 1)*(6*t + 1)**2/7
Determine i, given that -i**3 - 37*i**2 + 77*i - 39 = 0.
-39, 1
Factor v**3/5 + v