u**3 + 66*u**2 = 0. What is u?
-2/9, 0, 1, 11
Find p such that -p**3 - 63*p**2 - 123*p - 61 = 0.
-61, -1
Solve -3*c**5 + 99*c**4 - 96*c**3 = 0.
0, 1, 32
Factor 2*i**5/5 + 38*i**4 + 148*i**3 + 220*i**2 + 146*i + 182/5.
2*(i + 1)**4*(i + 91)/5
Factor 4*y**3 + 16*y**2 - 64*y - 256.
4*(y - 4)*(y + 4)**2
Solve 129*c**4 - 390*c**3 + 267*c**2 - 6*c = 0.
0, 1/43, 1, 2
Factor -4*u**3/5 + 48*u**2 - 237*u/5 + 59/5.
-(u - 59)*(2*u - 1)**2/5
Factor g**2/4 + 1351*g + 1825201.
(g + 2702)**2/4
Factor -2*r**4 + 54*r**3 - 48*r**2 - 104*r.
-2*r*(r - 26)*(r - 2)*(r + 1)
Factor -3*w**2 + 1053*w + 2118.
-3*(w - 353)*(w + 2)
Suppose -6*u**3 + 213*u**2 - 1836*u - 972 = 0. Calculate u.
-1/2, 18
Factor -s**3/6 + 934*s**2 - 1308534*s.
-s*(s - 2802)**2/6
Find v, given that -16*v**2 + 332*v + 84 = 0.
-1/4, 21
Suppose 4*o**2 - 8*o - 896 = 0. Calculate o.
-14, 16
Factor 3*t**2/5 - 168*t/5 + 2352/5.
3*(t - 28)**2/5
Determine n, given that 23*n**2/7 - 95*n/7 + 12/7 = 0.
3/23, 4
Factor -4*u**2 + 23*u + 6.
-(u - 6)*(4*u + 1)
Factor -q**3 + 8*q**2 + 19*q + 10.
-(q - 10)*(q + 1)**2
Factor 5*a**3 + 45*a**2 - 330*a + 280.
5*(a - 4)*(a - 1)*(a + 14)
Let 45*c**4 - 35*c**3 - 100*c**2 - 20*c = 0. What is c?
-1, -2/9, 0, 2
Factor -3872*v**2 - 44*v - 1/8.
-(176*v + 1)**2/8
Factor -l**4/3 + 4*l**3 - 5*l**2/3 - 22*l.
-l*(l - 11)*(l - 3)*(l + 2)/3
Suppose 2*a**3/3 + 304*a**2/3 + 602*a/3 + 100 = 0. What is a?
-150, -1
Factor 35*z**2 - 1830*z + 520.
5*(z - 52)*(7*z - 2)
Suppose 4*z**5 - 136*z**4 + 996*z**3 + 3024*z**2 - 3888*z = 0. Calculate z.
-3, 0, 1, 18
Solve -36*i**5 - 3720*i**4 - 12148*i**3 - 14880*i**2 - 8016*i - 1600 = 0 for i.
-100, -1, -2/3
Determine u, given that -4*u**4 + 68*u**3/3 + 8*u**2 = 0.
-1/3, 0, 6
Factor -c**4/3 + 43*c**3/3 + 44*c**2/3.
-c**2*(c - 44)*(c + 1)/3
Factor 4*q**4 + 92*q**3 + 672*q**2 + 1280*q - 2048.
4*(q - 1)*(q + 8)**3
What is w in -w**4/2 - 15*w**3 + 131*w**2/2 - 84*w + 34 = 0?
-34, 1, 2
Factor -3*r**2/7 - 3573*r/7.
-3*r*(r + 1191)/7
Factor -x**5/4 + 3*x**3/4 - x**2/2.
-x**2*(x - 1)**2*(x + 2)/4
Factor -2*r**3/3 - 284*r**2 + 570*r - 856/3.
-2*(r - 1)**2*(r + 428)/3
Solve -z**5 + 3*z**4 + 6*z**3 - 8*z**2 = 0.
-2, 0, 1, 4
Factor -q**2 + 22*q + 23.
-(q - 23)*(q + 1)
Find c such that -2*c**2 - 18*c + 20 = 0.
-10, 1
Factor i**2/2 + 25*i + 561/2.
(i + 17)*(i + 33)/2
Suppose -2*r**2 + 164*r - 162 = 0. What is r?
1, 81
Find c such that 49*c**5/4 - 77*c**4/4 + 8*c**3 - c**2 = 0.
0, 2/7, 1
Suppose 4*j**5 - 68*j**4 + 120*j**3 + 8*j**2 - 124*j + 60 = 0. Calculate j.
-1, 1, 15
Factor 2*n**4/3 - 50*n**3/3 - 106*n**2/3 - 18*n.
2*n*(n - 27)*(n + 1)**2/3
Determine t so that -8*t**3/3 - 58*t**2 + 76*t - 46/3 = 0.
-23, 1/4, 1
Factor 3*b**4 + 330*b**3 + 9711*b**2 + 34980*b + 33708.
3*(b + 2)**2*(b + 53)**2
Suppose 5*s**3/4 + 9*s**2/8 - 5*s/4 - 9/8 = 0. What is s?
-1, -9/10, 1
Factor -a**2/2 - 227*a/2 + 345.
-(a - 3)*(a + 230)/2
Solve -2*g**2/21 + 50*g/21 + 124/7 = 0 for g.
-6, 31
Find u, given that 5*u**5 - 120*u**4 + 85*u**3 + 710*u**2 - 420*u - 920 = 0.
-2, -1, 2, 23
Factor 15*t**4/2 - 220*t**3 + 1440*t**2 + 8640*t - 86400.
5*(t - 12)**3*(3*t + 20)/2
Find n, given that -5*n**2/7 - 22*n/7 - 8/7 = 0.
-4, -2/5
Determine o, given that -4*o**5 - 56*o**4 - 172*o**3 - 104*o**2 + 176*o + 160 = 0.
-10, -2, -1, 1
Find m, given that -15*m**3 + 36*m**2 - 12*m = 0.
0, 2/5, 2
Factor 62*w**2 + 743*w/4 - 3/4.
(w + 3)*(248*w - 1)/4
Let -2*w**2 + 570*w/7 + 164/7 = 0. Calculate w.
-2/7, 41
Find p, given that 12*p**2 - 260*p + 168 = 0.
2/3, 21
Factor -2*k**2/11 + 2692*k/11 - 905858/11.
-2*(k - 673)**2/11
Suppose -60*f**5/7 - 134*f**4/7 - 12*f**3 - 6*f**2/7 + 4*f/7 = 0. What is f?
-1, -2/5, 0, 1/6
Let 3*r**3 - 15*r**2 + 24*r - 12 = 0. What is r?
1, 2
Factor 11*g**3/6 + g**2/2 - 22*g/3 - 2.
(g - 2)*(g + 2)*(11*g + 3)/6
Factor q**3/4 - 5*q**2/2 + 25*q/4.
q*(q - 5)**2/4
Factor -2*v**2/7 - 1842*v/7 - 1840/7.
-2*(v + 1)*(v + 920)/7
Factor 5*y**2 + 325*y + 320.
5*(y + 1)*(y + 64)
Solve -5*b**5 - 25*b**4 - 30*b**3 = 0.
-3, -2, 0
Find m such that 18*m**4 + 114*m**3 + 200*m**2 + 136*m + 32 = 0.
-4, -1, -2/3
Find f such that -f**4/6 + 11*f**3/6 - 13*f**2/2 + 49*f/6 - 10/3 = 0.
1, 4, 5
Determine l, given that 5*l**2/2 + 60*l - 1085/2 = 0.
-31, 7
Determine c, given that -3*c**2/2 - 6651*c - 14745267/2 = 0.
-2217
Factor 3*g**3/7 - 216*g**2/7 - 63*g - 222/7.
3*(g - 74)*(g + 1)**2/7
Suppose 3*b**4 + 231*b**3 + 1314*b**2 + 2580*b + 1704 = 0. Calculate b.
-71, -2
Factor -s**2 + 376*s - 375.
-(s - 375)*(s - 1)
Find g such that -4*g**3 + 44*g**2 + 48*g = 0.
-1, 0, 12
Factor -4*h**3/5 - 856*h**2/5 - 44928*h/5 + 93312/5.
-4*(h - 2)*(h + 108)**2/5
Suppose 2*w**2 + 92*w + 480 = 0. Calculate w.
-40, -6
Let -81*s**4 - 894*s**3 - 3192*s**2 - 3762*s - 135 = 0. What is s?
-5, -3, -1/27
Solve 578*i**4/11 - 1972*i**3/11 + 2498*i**2/11 - 1392*i/11 + 288/11 = 0 for i.
12/17, 1
Solve 100*u**5 - 845*u**4 + 1557*u**3 - 514*u**2 - 52*u + 24 = 0.
-1/5, 1/4, 2/5, 2, 6
Factor -3*h**2/4 - 8865*h - 26196075.
-3*(h + 5910)**2/4
Let -2*v**3/11 + 100*v**2/11 - 98*v/11 = 0. Calculate v.
0, 1, 49
Suppose -2*q**3 - 36*q**2 + 2*q + 36 = 0. Calculate q.
-18, -1, 1
Suppose 3*h**2 + 36*h = 0. What is h?
-12, 0
Find k such that -3*k**4/5 - 126*k**3/5 - 396*k**2 - 13794*k/5 - 35937/5 = 0.
-11, -9
Factor 3*q**3 - 27*q**2 + 18*q + 48.
3*(q - 8)*(q - 2)*(q + 1)
Suppose -145*z**3/6 + 565*z**2/6 - 260*z/3 - 10 = 0. Calculate z.
-3/29, 2
Suppose 2*o**5/25 + 14*o**4/25 + 2*o**3/5 - 14*o**2/25 - 12*o/25 = 0. What is o?
-6, -1, 0, 1
Let -u**2 + 27*u - 72 = 0. Calculate u.
3, 24
What is l in -2*l**5/9 - 28*l**4/9 - 106*l**3/9 - 152*l**2/9 - 8*l = 0?
-9, -2, -1, 0
Find v such that 18*v**2/7 + 15*v/7 - 6 = 0.
-2, 7/6
Let -g**2 + 6*g + 7 = 0. What is g?
-1, 7
What is o in o**4 + 383*o**3/3 - 131*o**2/3 - 383*o/3 + 128/3 = 0?
-128, -1, 1/3, 1
Factor 2*f**3/7 - 38*f**2/7 + 36*f/7.
2*f*(f - 18)*(f - 1)/7
Determine z, given that -2*z**4 - 32*z**3 - 128*z**2 = 0.
-8, 0
Factor 16*z**3/7 + 26*z**2/7 - 86*z/7 - 60/7.
2*(z - 2)*(z + 3)*(8*z + 5)/7
Factor -10*s**3/7 - 24*s**2/7.
-2*s**2*(5*s + 12)/7
Factor 4*p**2 + 14920*p + 13912900.
4*(p + 1865)**2
Factor 3*a**4 - 303*a**3 + 8991*a**2 - 28749*a - 1519590.
3*(a - 37)**3*(a + 10)
Factor -4*w**2 + 11952*w - 8928144.
-4*(w - 1494)**2
Factor o**2/5 + 298*o/5 + 297/5.
(o + 1)*(o + 297)/5
Suppose 4*g**5/5 + 12*g**4/5 - 12*g**3/5 - 44*g**2/5 - 24*g/5 = 0. What is g?
-3, -1, 0, 2
Find s, given that -15*s**3/2 + 209*s**2/2 - 721*s/2 - 49/2 = 0.
-1/15, 7
Factor -12*r**3 + 6*r**2 - 3*r/4.
-3*r*(4*r - 1)**2/4
Suppose -18*y**5 + 654*y**4 - 5372*y**3 - 10300*y**2 - 4978*y - 722 = 0. What is y?
-1, -1/3, 19
Factor -3*d**4 + 138*d**3 - 636*d**2 + 870*d - 369.
-3*(d - 41)*(d - 3)*(d - 1)**2
Find v such that v**5/2 - 43*v**4/2 + 159*v**3/2 - 113*v**2/2 - 80*v + 78 = 0.
-1, 1, 2, 39
Factor 12482*q**2 + 8216*q + 1352.
2*(79*q + 26)**2
Solve c**5/4 - c**4/4 - 3*c**3/2 + c**2 + 2*c = 0 for c.
-2, -1, 0, 2
Factor -12321*c**4 - 73482*c**3 - 108229*c**2 + 3972*c - 36.
-(c + 3)**2*(111*c - 2)**2
Find c such that 5*c**4 - 25*c**3 - 35*c**2 + 25*c + 30 = 0.
-1, 1, 6
Solve -5*j**2 + 175*j - 1380 = 0 for j.
12, 23
Factor 2*k**3/3 + 58*k**2 + 1440*k + 22400/3.
2*(k + 7)*(k + 40)**2/3
Factor -2*k**4/7 - 36*k**3/7 - 162*k**2/7.
-2*k**2*(k + 9)**2/7
Factor 3*n**4/2 - 6*n**3 - 15*n**2 + 42*n - 45/2.
3*(n - 5)*(n - 1)**2*(n + 3)/2
Let 21*w**4 + 113*w**3 - 223*w**2 + 103*w - 14 = 0. Calculate w.
-7, 2/7, 1/3, 1
Let 2*c**2/7 + 748*c/7 + 69938/7 = 0. What is c?
-187
Factor 3*j**3 - 27*j**2 - 3*j + 315.
3*(j - 7)*(j - 5)*(j + 3)
Suppose -2*p**2/9 + 32*p/9 - 26/3 = 0. Calculate p.
3, 13
Determine r so that -3*r**3 + 18*r**2 - 15*r - 36 = 0.
-1, 3, 4
Solve w**4/3 + 2*w**3 - 17*w**2/3 - 2*w + 16/3 = 0 for w.
-8, -1, 1, 2
Determine c, given that 2*c**4 + 26*c**3 + 24*c**2 = 0.
-12, -1, 0
Determine p so that -p**3/4 - 19*p**2/2 - 171*p/4 - 99/2 = 0.
-33, -3, -2
Suppose 2*b**2/9 + 188*b/9 + 80 = 0. What is b?
-90, -4
Let 106*m**2/3 - 4*m/3 = 0. What is m?
0, 2/53
Find r such that -2*r**2/3 - 92*r + 1136/3 = 0.
-142, 4
Factor -27*p**3 - 10575*p**2 - 1030161*p + 1040763.
-3*(p - 1)*(3*p + 589)**2
Factor -5*r**3 - 205*r**2.
-5*r**2*(r + 41)
Factor -3*b**3 - 39*b**2/8 + 9*b/4.
-3*b*(b + 2)*(8*b - 3)/8
Solve -21*c**5 - 27*c**4 + 99*c**3 - 33*c**2 - 18*c = 0 for c.