01, -1, 0, 3
Suppose 975*u**4 + 1635*u**3/2 - 1959*u**2 + 1251*u/2 + 27 = 0. Calculate u.
-2, -1/26, 3/5
Determine l, given that 2*l**3/11 - 516*l**2/11 + 3072*l - 65536/11 = 0.
2, 128
Factor a**2/6 - 332*a/3 + 55112/3.
(a - 332)**2/6
Let -2*w**4/7 - 2*w**3 - 18*w**2/7 + 54*w/7 + 108/7 = 0. Calculate w.
-3, 2
Factor 9*s**3 - 195*s**2 - 288*s + 276.
3*(s - 23)*(s + 2)*(3*s - 2)
Determine q so that 3*q**5/5 - 24*q**4/5 - 111*q**3 - 1476*q**2/5 + 2052*q/5 = 0.
-6, 0, 1, 19
Suppose 15*g**5 - 51*g**4 - 57*g**3 + 75*g**2 + 42*g - 24 = 0. Calculate g.
-1, 2/5, 1, 4
Determine t, given that 5*t**3 + 115*t**2 + 215*t + 105 = 0.
-21, -1
Factor -z**2 + 216*z - 11664.
-(z - 108)**2
Find v, given that -4*v**3 - 8*v**2 + 12*v = 0.
-3, 0, 1
Find c, given that -100*c**2 + 7560*c - 142884 = 0.
189/5
Factor 2*j**2/25 + 12*j/25 + 16/25.
2*(j + 2)*(j + 4)/25
What is i in 3*i**4 + 6*i**3 - 9*i**2 - 12*i + 12 = 0?
-2, 1
Factor -3*u**2 - 68*u + 23.
-(u + 23)*(3*u - 1)
Find q such that q**4/2 - 1627*q**3/2 - 3257*q**2/2 - 1629*q/2 = 0.
-1, 0, 1629
Solve 3*y**4/2 + 30*y**3 - 63*y**2/2 = 0.
-21, 0, 1
Factor -m**2 + 23*m - 76.
-(m - 19)*(m - 4)
Suppose 2*a**3/9 - 20*a**2/9 - 2*a/9 + 20/9 = 0. Calculate a.
-1, 1, 10
Let -4*n**2 + 23912*n - 35736484 = 0. What is n?
2989
Factor -u**3 + 4*u**2 + 11*u + 6.
-(u - 6)*(u + 1)**2
Factor -3*y**2 + 24*y + 60.
-3*(y - 10)*(y + 2)
Suppose -k**4/7 + 19*k**2/7 + 30*k/7 = 0. What is k?
-3, -2, 0, 5
Solve -4*x**5 + 22*x**4/3 + 50*x**3/3 - 14*x**2/3 - 10*x = 0 for x.
-1, 0, 5/6, 3
Factor 2*b**4/13 - 1360*b**3/13 + 232556*b**2/13 - 461040*b/13 + 229842/13.
2*(b - 339)**2*(b - 1)**2/13
Let -v**3/2 - 9*v**2 - 71*v/2 + 45 = 0. Calculate v.
-10, -9, 1
Find x, given that -x**4/3 - 26*x**3 - 452*x**2 + 6478*x/3 - 1681 = 0.
-41, 1, 3
Solve -2*a**3/7 - 46*a**2/7 - 30*a/7 + 450 = 0.
-15, 7
Solve 3*o**2 + 354*o = 0.
-118, 0
Find c such that 4*c**4 + 36*c**3 + 52*c**2 - 36*c - 56 = 0.
-7, -2, -1, 1
Suppose -4*c**2 - 9704*c - 5885476 = 0. What is c?
-1213
What is l in 3*l**2/7 - 6*l/7 - 24/7 = 0?
-2, 4
Factor 6*f**4 - 21*f**3/2 + 3*f**2 + 3*f/2.
3*f*(f - 1)**2*(4*f + 1)/2
Find t, given that 2*t**2/13 - 144*t/13 - 1640/13 = 0.
-10, 82
Suppose -2*r**4/9 + 314*r**3 + 5660*r**2/9 = 0. Calculate r.
-2, 0, 1415
Factor 4*f**5 - 310*f**4 + 154*f**3.
2*f**3*(f - 77)*(2*f - 1)
Let -2*t**4 + 94*t**3 - 882*t**2 + 1274*t + 6860 = 0. Calculate t.
-2, 7, 35
Solve -3*j**3/5 + 102*j**2/5 + 4173*j/5 + 6084 = 0 for j.
-13, 60
Factor -h**4/6 - 5*h**3/3 + 21*h**2/2 + 108*h.
-h*(h - 8)*(h + 9)**2/6
Find x, given that 4*x**2 + 1980*x - 1984 = 0.
-496, 1
Factor -4*t**2/3 + 92*t/3 - 304/3.
-4*(t - 19)*(t - 4)/3
Suppose 4*i**3/3 + 52*i**2/3 + 40*i/3 - 32 = 0. What is i?
-12, -2, 1
Solve 627*s**3 + 1251*s**2 + 621*s - 3 = 0.
-1, 1/209
Let -34*h**2/3 + 64*h/3 + 8/3 = 0. Calculate h.
-2/17, 2
Determine m so that 4*m**5 - 40*m**4 + 148*m**3 - 240*m**2 + 144*m = 0.
0, 2, 3
Solve -3*x**3 - 30*x**2 + 213*x - 180 = 0.
-15, 1, 4
Solve 4*a**4/3 - 88*a**3/3 + 192*a**2 - 384*a = 0 for a.
0, 4, 6, 12
Factor 2*k**2 + 56*k - 256.
2*(k - 4)*(k + 32)
Determine z, given that 4*z**4 + 24*z**3 - 16*z**2 - 96*z = 0.
-6, -2, 0, 2
Factor -3*w**4/4 + 31*w**3/4 - 37*w**2/4 + 9*w/4.
-w*(w - 9)*(w - 1)*(3*w - 1)/4
Factor -5*q**2 - 195*q - 190.
-5*(q + 1)*(q + 38)
Solve 4*n**4 + 22*n**3 - 202*n**2 + 416*n - 264 = 0 for n.
-11, 3/2, 2
Suppose 20*s**3 + 12*s**2 - 48*s + 16 = 0. What is s?
-2, 2/5, 1
Suppose -975*a**2 + 189*a - 6 = 0. What is a?
1/25, 2/13
Find n, given that 75*n**4/4 - 90*n**3 + 321*n**2/2 - 126*n + 147/4 = 0.
1, 7/5
Let -3*n**4 - 105*n**3 + 7137*n**2 - 105963*n + 487734 = 0. What is n?
-74, 13
Solve 3*p**2/2 + 27*p/2 - 15 = 0 for p.
-10, 1
Suppose -147*a**5 - 273*a**4 - 6*a**3 + 246*a**2 + 153*a + 27 = 0. What is a?
-1, -3/7, 1
Factor -3*f**3 + 60*f**2 + 441*f + 702.
-3*(f - 26)*(f + 3)**2
Solve c**3/6 + c**2/3 - 43*c/6 + 20/3 = 0 for c.
-8, 1, 5
What is w in 2*w**3/5 - 28*w**2/5 - 138*w/5 - 108/5 = 0?
-3, -1, 18
Determine f so that -3*f**3/4 - 597*f**2/2 = 0.
-398, 0
Determine u so that 16*u**5 - 8*u**4 - 207*u**3 + 296*u**2 - 109*u + 12 = 0.
-4, 1/4, 1, 3
Let f**3 + 57*f**2 + 1083*f + 6859 = 0. What is f?
-19
Solve -q**4/3 - 2*q**3/3 + 19*q**2/3 - 28*q/3 + 4 = 0 for q.
-6, 1, 2
Factor 2*k**2 + 58*k + 108.
2*(k + 2)*(k + 27)
Suppose o**3 + 24*o**2 + 119*o - 144 = 0. What is o?
-16, -9, 1
Let 4*n**2 - 12*n = 0. Calculate n.
0, 3
Factor -5*a**2/4 + 85*a/2.
-5*a*(a - 34)/4
Suppose -j**2/2 - 69*j - 4761/2 = 0. Calculate j.
-69
Factor 2*g**4/3 + 2*g**3 - 80*g**2/3 - 56*g.
2*g*(g - 6)*(g + 2)*(g + 7)/3
Determine k, given that 2*k**5/11 + 18*k**4/11 + 40*k**3/11 + 24*k**2/11 = 0.
-6, -2, -1, 0
Determine x, given that x**3 - 9*x**2 + 26*x - 24 = 0.
2, 3, 4
Find m such that m**5 - 172*m**4 + 1488*m**3 - 3442*m**2 + 3103*m - 978 = 0.
1, 6, 163
Solve 8*q**5 + 14*q**4 - 12*q**3 - 14*q**2 + 4*q = 0 for q.
-2, -1, 0, 1/4, 1
What is l in l**5 - 3*l**4 - 5*l**3 + 3*l**2 + 4*l = 0?
-1, 0, 1, 4
Suppose 88*n**2 - 532*n/3 - 196/3 = 0. Calculate n.
-7/22, 7/3
Factor 3*g**4/4 - 9*g**3/2 + 6*g**2.
3*g**2*(g - 4)*(g - 2)/4
Factor p**3/7 - 6*p**2/7 - 25*p/7 + 150/7.
(p - 6)*(p - 5)*(p + 5)/7
Factor -15*s**4 + 5*s**3 + 15*s**2 - 5*s.
-5*s*(s - 1)*(s + 1)*(3*s - 1)
Factor 15*u**2 - 10*u - 5.
5*(u - 1)*(3*u + 1)
Factor 3*w**3 + 1863*w**2 + 1860*w.
3*w*(w + 1)*(w + 620)
Factor 11*z**4 - 13*z**3 - 9*z**2 + 13*z - 2.
(z - 1)**2*(z + 1)*(11*z - 2)
Let -3*k**3 + 165*k**2 = 0. What is k?
0, 55
Suppose -4*u**2/9 + 1904*u/9 - 226576/9 = 0. Calculate u.
238
Factor -3*z**5/2 + 60*z**4 - 900*z**3 + 6000*z**2 - 15000*z.
-3*z*(z - 10)**4/2
Find q, given that -4*q**4 + 24*q**3 + 124*q**2 - 96*q - 432 = 0.
-3, -2, 2, 9
Factor -5*o**2 - 35*o - 50.
-5*(o + 2)*(o + 5)
Suppose -10*y**4 - 95*y**3 - 335*y**2 - 520*y - 300 = 0. What is y?
-3, -5/2, -2
Suppose 2*f**2 + 2784*f + 2782 = 0. What is f?
-1391, -1
Determine j, given that -12*j**4 + 952*j**3 - 21916*j**2 + 116064*j - 36288 = 0.
1/3, 7, 36
Factor -5*n**5 + 5*n**4 + 25*n**3 + 15*n**2.
-5*n**2*(n - 3)*(n + 1)**2
Solve -s**4/8 - 397*s**3/8 - 18569*s**2/4 + 56712*s - 52020 = 0.
-204, 1, 10
Find d such that -3*d**3/5 + 6*d**2/5 + 9*d/5 = 0.
-1, 0, 3
Find y, given that -y**4 + 84*y**3 - 243*y**2 - 4*y + 324 = 0.
-1, 2, 81
Factor -3*a**2 - 178*a - 175.
-(a + 1)*(3*a + 175)
Suppose -b**4 + 193*b**3 - 9215*b**2 - 9409*b = 0. What is b?
-1, 0, 97
Let -j**3 - 69*j**2 - 200*j - 132 = 0. What is j?
-66, -2, -1
Solve -4*x**2/3 + 103*x/3 + 26/3 = 0 for x.
-1/4, 26
Suppose 445*p**3 + 1775*p**2 + 1760*p - 20 = 0. Calculate p.
-2, 1/89
Factor -3*y**3 + 36*y + 48.
-3*(y - 4)*(y + 2)**2
Suppose 4*u**2 - 4*u - 24 = 0. What is u?
-2, 3
Find f such that f**4 + 72*f**3 + 210*f**2 + 208*f + 69 = 0.
-69, -1
Suppose -4*n**3/7 - 12048*n**2/7 - 12096192*n/7 - 4048192256/7 = 0. What is n?
-1004
Solve 3*k**2 + 210*k + 3675 = 0.
-35
Determine b, given that -2*b**3/5 - 2226*b**2/5 - 825846*b/5 - 102129622/5 = 0.
-371
Factor 4*a**5/5 + 12*a**4/5.
4*a**4*(a + 3)/5
Factor -2*o**2/17 - 20*o/17 + 342/17.
-2*(o - 9)*(o + 19)/17
Factor -v**4/3 + 11*v**3 + 308*v**2/3 + 268*v + 656/3.
-(v - 41)*(v + 2)**2*(v + 4)/3
What is g in 5*g**5/4 - 705*g**4/2 - 8595*g**3/4 - 3240*g**2 = 0?
-3, 0, 288
Factor u**5/5 + 126*u**4/5 + 494*u**3/5 + 736*u**2/5 + 489*u/5 + 122/5.
(u + 1)**4*(u + 122)/5
Solve -3*k**2/7 + 31986*k/7 - 85258683/7 = 0 for k.
5331
Let 836352*r**5 - 1669536*r**4 - 3351741*r**3 + 6678138*r**2 + 25332*r + 24 = 0. Calculate r.
-2, -1/528, 2
What is w in -2*w**3 + 12*w**2 + 74*w + 60 = 0?
-3, -1, 10
Solve -5*y**3 - 75*y**2/4 + 165*y - 40 = 0 for y.
-8, 1/4, 4
Find w such that -w**5 + 10*w**4 + 36*w**3 + 38*w**2 + 13*w = 0.
-1, 0, 13
Solve -2*c**5/9 - 320*c**4/9 + 322*c**3/9 = 0 for c.
-161, 0, 1
Let -n**4/7 - 9*n**3/7 - 2*n**2 + 24*n/7 = 0. What is n?
-6, -4, 0, 1
Let 2*p**5 + 2928*p**4 + 1607472*p**3 + 392223168*p**2 + 35888419872*p = 0. Calculate p.
-366, 0
Determine v, given that -5*v**4/3 - 845*v**3 + 17915*v**2/3 - 12835*v + 7710 = 0.
-514, 1, 3
Factor -67*z**3 + 273*z**2 - 221*z + 15.
-(z - 3)*(z - 1)*(67*z - 5)
Solve 5*i**3 + 15*i**2 - 90*i = 0.
-6, 0, 3
Factor 3*o**2/7 - 366*o/7 + 11163/7.
3*(o - 61)**2/7
Factor v**2 + 47*v + 90.
(v + 2)*(v + 45)
Find k such that k**5 - 37*k**3 + 36*k = 0.
-6, -1, 0, 1,