2, -1
Let -x**2/7 - 45*x/7 + 46/7 = 0. Calculate x.
-46, 1
Suppose -3*h**4/5 + 534*h**3/5 + 1077*h**2/5 + 108*h = 0. What is h?
-1, 0, 180
Factor -4*b**4 - 120*b**3 + 256*b**2.
-4*b**2*(b - 2)*(b + 32)
Factor j**5 - 48*j**3 - 128*j**2.
j**2*(j - 8)*(j + 4)**2
Factor 3*a**2 - 93*a - 2646.
3*(a - 49)*(a + 18)
Factor -5*t**2/2 + 1840*t - 3670.
-5*(t - 734)*(t - 2)/2
Factor -2*d**2/5 + 6968*d/5 - 6069128/5.
-2*(d - 1742)**2/5
Factor -2*s**3 - 42*s**2 - 240*s - 200.
-2*(s + 1)*(s + 10)**2
Factor -2*t**4/5 - 16*t**3/5 + 96*t**2/5 + 512*t/5 - 2048/5.
-2*(t - 4)**2*(t + 8)**2/5
Determine c, given that c**2/4 - 13*c/4 - 12 = 0.
-3, 16
Find i such that i**3/7 + 12*i**2/7 + 45*i/7 + 54/7 = 0.
-6, -3
Factor -2*a**2/21 - 46*a/21 - 260/21.
-2*(a + 10)*(a + 13)/21
Factor 3*q**5 - 24*q**4 + 18*q**3 + 24*q**2 - 21*q.
3*q*(q - 7)*(q - 1)**2*(q + 1)
Solve 28*a**5 - 1044*a**4 + 3040*a**3 + 3024*a**2 - 1088*a = 0 for a.
-1, 0, 2/7, 4, 34
Factor -7*t**2 - 23*t - 6.
-(t + 3)*(7*t + 2)
Determine c so that 2*c**3/5 - 8*c**2/5 - 82*c/5 - 72/5 = 0.
-4, -1, 9
Let -l**2/2 - 21*l - 41/2 = 0. Calculate l.
-41, -1
What is y in y**5/7 - 17*y**4/7 + 81*y**3/7 - 115*y**2/7 + 50*y/7 = 0?
0, 1, 5, 10
Suppose 6348*z**2 - 828*z + 27 = 0. Calculate z.
3/46
Solve 3*k**3 + 180*k**2 = 0.
-60, 0
Factor 2*m**2/7 - 92*m/7 - 94/7.
2*(m - 47)*(m + 1)/7
Factor 5*k**5 - 10*k**4 + 5*k**3.
5*k**3*(k - 1)**2
Factor 2*f**3/19 + 230*f**2/19.
2*f**2*(f + 115)/19
Find d such that -d**5 - 4*d**4 + 3*d**3 + 18*d**2 = 0.
-3, 0, 2
Solve 4*a**3/7 + 388*a**2/7 - 788*a/7 + 396/7 = 0.
-99, 1
Suppose -3*q**4 + 753*q**3 - 2979*q**2 + 3711*q - 1482 = 0. What is q?
1, 2, 247
Suppose t**4 + 58*t**3 + 701*t**2 + 1232*t + 588 = 0. What is t?
-42, -14, -1
Find o such that 2*o**5 - 444*o**4 - 2*o**3 + 444*o**2 = 0.
-1, 0, 1, 222
Factor 2*h**2/21 - 6*h/7 + 4/3.
2*(h - 7)*(h - 2)/21
Solve -200*b**5/11 + 2480*b**4/11 - 11738*b**3/11 + 26330*b**2/11 - 27824*b/11 + 10952/11 = 0 for b.
1, 2, 37/10
Suppose -216*r**3 + 561*r**2 - 276*r + 36 = 0. What is r?
2/9, 3/8, 2
Let -4*w**3 - 702*w**2 + 354*w + 352 = 0. What is w?
-176, -1/2, 1
Factor -4*a**5 + 32*a**4 + 24*a**3 - 224*a**2 + 268*a - 96.
-4*(a - 8)*(a - 1)**3*(a + 3)
Determine t, given that 6*t**2 - 1566*t/7 + 444/7 = 0.
2/7, 37
Factor 2*k**5 + 28*k**4 + 20*k**3 - 88*k**2 - 134*k - 52.
2*(k - 2)*(k + 1)**3*(k + 13)
Factor 2*t**5 + 10*t**4 + 18*t**3 + 14*t**2 + 4*t.
2*t*(t + 1)**3*(t + 2)
Factor 2*p**2/9 + 20*p/9 - 38.
2*(p - 9)*(p + 19)/9
Factor -4*y**4 + 16*y**3 + 52*y**2 - 112*y - 240.
-4*(y - 5)*(y - 3)*(y + 2)**2
Suppose -20*o**3 - 208*o**2 - 400*o - 128 = 0. What is o?
-8, -2, -2/5
Let 3*o**4/7 + 984*o**3/7 + 79698*o**2/7 - 162360*o/7 + 81675/7 = 0. What is o?
-165, 1
Factor -2*f**2/15 - 182*f - 5452/15.
-2*(f + 2)*(f + 1363)/15
Find w such that -2*w**3/3 - 52*w**2/3 + 78*w - 60 = 0.
-30, 1, 3
Solve -j**3/9 - 26*j**2/9 - 49*j/9 - 8/3 = 0 for j.
-24, -1
Factor -4*f**4 - 8*f**3 + 16*f**2 + 8*f - 12.
-4*(f - 1)**2*(f + 1)*(f + 3)
Determine w so that -5*w**3 - 40*w**2 - 65*w - 30 = 0.
-6, -1
Find y, given that 2*y**2/11 + 80*y/11 + 800/11 = 0.
-20
Factor -2*r**5 - 120*r**4 - 880*r**3 - 2560*r**2 - 3360*r - 1664.
-2*(r + 2)**4*(r + 52)
Factor 2*k**4/5 + 18*k**3/5 - 4*k**2.
2*k**2*(k - 1)*(k + 10)/5
Factor -2*x**5 + 10*x**4 - 18*x**3 + 14*x**2 - 4*x.
-2*x*(x - 2)*(x - 1)**3
Suppose 4*w**5/5 + 93*w**4/5 - 65*w**3 - 183*w**2 + 2601*w/5 + 702/5 = 0. What is w?
-26, -3, -1/4, 3
Solve -8*d**5 + 12*d**4 + 4*d**3 - 12*d**2 + 4*d = 0 for d.
-1, 0, 1/2, 1
Factor -5*g**5/3 + 10*g**4 - 20*g**3 + 50*g**2/3 - 5*g.
-5*g*(g - 3)*(g - 1)**3/3
Determine f so that -4*f**4 - 48*f**3 - 196*f**2 - 312*f - 160 = 0.
-5, -4, -2, -1
Factor -3*w**5 - 18*w**4 + 108*w**3 - 120*w**2.
-3*w**2*(w - 2)**2*(w + 10)
Determine s so that -16*s**4 - 32*s**3 + 12*s**2 + 36*s = 0.
-3/2, 0, 1
Factor -235*t**2 + 5*t.
-5*t*(47*t - 1)
What is m in -423*m**3/4 - m**2/4 + 423*m + 1 = 0?
-2, -1/423, 2
Factor -3*x**5 + 387*x**4 - 16641*x**3 + 238521*x**2.
-3*x**2*(x - 43)**3
Determine u, given that -2*u**5/3 - 2*u**4 + 8*u**3/3 = 0.
-4, 0, 1
Solve a**3 + 16*a**2 + 15*a = 0 for a.
-15, -1, 0
Factor -v**4/4 + 9*v**3/4 - 15*v**2/4 + 7*v/4.
-v*(v - 7)*(v - 1)**2/4
Factor 4*h**2 - 232*h.
4*h*(h - 58)
Factor q**2 + 149*q + 1260.
(q + 9)*(q + 140)
Suppose m**3 - 47*m**2 + 46*m = 0. Calculate m.
0, 1, 46
Factor -3*c**3 - 45*c**2 + 102*c.
-3*c*(c - 2)*(c + 17)
Solve 378*r**2/11 - 764*r/11 + 16/11 = 0.
4/189, 2
Solve 4*s**3 + 88*s**2 + 164*s + 80 = 0 for s.
-20, -1
Determine g so that -g**3/3 - 29*g**2/3 - 119*g/3 + 1445/3 = 0.
-17, 5
Determine n, given that -n**4 - 4*n**3 + 9*n**2 + 16*n - 20 = 0.
-5, -2, 1, 2
What is w in 5*w**5 - 305*w**4 + 5840*w**3 - 36740*w**2 + 85280*w - 54080 = 0?
1, 4, 26
Suppose -4*r**3 + 6396*r**2 - 3409068*r + 605677748 = 0. Calculate r.
533
Find d such that 3*d**4 - 18*d**3 - 240*d**2 + 1152*d + 3072 = 0.
-8, -2, 8
Let 3*s**4 - 45*s**3 - 699*s**2 - 1251*s - 600 = 0. What is s?
-8, -1, 25
Solve -4*c**3/5 + 812*c**2/5 - 792*c = 0.
0, 5, 198
Suppose -2*l**3/9 + 300*l**2 + 1802*l/3 + 2704/9 = 0. Calculate l.
-1, 1352
What is n in -3*n**3 - 30*n**2 - 9*n + 378 = 0?
-7, -6, 3
Find r such that -r**3/10 + r**2/5 + 3*r/2 = 0.
-3, 0, 5
Factor -u**2/2 + 19*u - 361/2.
-(u - 19)**2/2
Factor -20*q**2 - 38*q + 4.
-2*(q + 2)*(10*q - 1)
Factor 3*c**2/5 - 33036*c/5 + 90948108/5.
3*(c - 5506)**2/5
Let 18*u**5/19 - 9834*u**4/19 - 6580*u**3/19 + 460*u**2 + 6562*u/19 + 1094/19 = 0. What is u?
-1, -1/3, 1, 547
Suppose -10*g**2/17 - 226*g/17 - 132/17 = 0. What is g?
-22, -3/5
Factor 3*h**2 - 1920*h - 1923.
3*(h - 641)*(h + 1)
What is x in 5*x**3 - 10*x**2 - 35*x - 20 = 0?
-1, 4
Factor 5*a**5 - 55*a**4 + 95*a**3 - 45*a**2.
5*a**2*(a - 9)*(a - 1)**2
Let x**4/2 + 23*x**3/6 + 25*x**2/3 + 4*x = 0. What is x?
-4, -3, -2/3, 0
Suppose -5*b**5 + 25*b**4 + 5*b**3 - 25*b**2 = 0. Calculate b.
-1, 0, 1, 5
Solve 2*q**2/15 + 54*q/5 + 316/15 = 0 for q.
-79, -2
Factor 4*a**2 - 6800*a + 2890000.
4*(a - 850)**2
Determine d, given that -d**5 + 119*d**4 - 3935*d**3 + 23641*d**2 - 48048*d + 28224 = 0.
1, 3, 56
Factor -2*b**4/5 - 9*b**3 - 264*b**2/5 - 121*b/5.
-b*(b + 11)**2*(2*b + 1)/5
What is z in z**5/5 + 32*z**4/5 + 316*z**3/5 + 766*z**2/5 - 377*z - 2366/5 = 0?
-13, -7, -1, 2
Factor -3*v**5/5 + 9*v**4/5 - 9*v**3/5 + 3*v**2/5.
-3*v**2*(v - 1)**3/5
What is s in 585*s**4 - 545*s**3 - 60*s**2 + 20*s = 0?
-2/9, 0, 2/13, 1
Factor 3*o**3/4 - 5625*o**2 + 14062500*o - 11718750000.
3*(o - 2500)**3/4
Suppose 16*m**3 - 60*m**2 + 32*m + 12 = 0. What is m?
-1/4, 1, 3
Let -16*x**3 - 140*x**2 - 92*x + 32 = 0. What is x?
-8, -1, 1/4
Solve -4*l**5/3 - 688*l**4/3 - 30932*l**3/3 - 116264*l**2/3 - 47488*l - 18816 = 0 for l.
-84, -2, -1
Let 5*c**4 + 150*c**3 + 845*c**2 + 840*c - 1840 = 0. Calculate c.
-23, -4, 1
Factor 4*u**2/3 - 464*u/3 - 1680.
4*(u - 126)*(u + 10)/3
Factor -2*t**2 - 22*t + 120.
-2*(t - 4)*(t + 15)
Factor c**4/5 + 13*c**3/5 + 2*c**2 - 24*c/5.
c*(c - 1)*(c + 2)*(c + 12)/5
Find p such that 2*p**2/11 + 840*p/11 = 0.
-420, 0
Factor -4*n**2 - 332*n - 328.
-4*(n + 1)*(n + 82)
Find z, given that 4*z**4 + 92*z**3 + 136*z**2 - 672*z = 0.
-21, -4, 0, 2
Factor 2*s**2 - 968*s - 970.
2*(s - 485)*(s + 1)
Find r, given that -2*r**4/5 + 2*r**3 - 4*r**2/5 - 16*r/5 = 0.
-1, 0, 2, 4
Determine r, given that r**3/2 + 1671*r**2/2 - 836*r = 0.
-1672, 0, 1
Factor -4*a**5 - 8*a**4 + 28*a**3 - 16*a**2.
-4*a**2*(a - 1)**2*(a + 4)
Suppose 5*o**3/6 - 19*o**2/2 + 71*o/3 - 8 = 0. What is o?
2/5, 3, 8
Factor -3*t**2/2 + 972*t - 157464.
-3*(t - 324)**2/2
Solve 2*v**4 - 228*v**3 - 6*v**2 + 680*v + 456 = 0 for v.
-1, 2, 114
Find g such that -2*g**5/15 - 56*g**4/15 + 68*g**3/15 + 296*g**2/15 + 58*g/5 = 0.
-29, -1, 0, 3
Factor -m**2 + 3*m - 2.
-(m - 2)*(m - 1)
Factor 4*q**3/5 + 72*q**2/5 - 252*q/5.
4*q*(q - 3)*(q + 21)/5
Factor -s**2/4 - 6*s - 143/4.
-(s + 11)*(s + 13)/4
Solve -2*q**5/17 + 18*q**4/17 - 52*q**3/17 + 36*q**2/17 + 54*q/17 - 54/17 = 0 for q.
-1, 1, 3
Factor 3*x**3 - 1023*x**2 + 88725*x - 257049.
3*(x - 169)**2*(x - 3)
Factor -2*l**2/5 + 2*l - 8/5.
-2*(l - 4)*(l - 1)/5
Solve -8*h**4 + 65*h**3/7 - h**2 - 2*h/7 = 0 for h.
-1/8, 0, 2/7, 1
Find p, given that -p**3/7 + 30*p**2/7 + 31*p/7 = 0.
-1, 0, 31
Determine i so that -2*i**2 + 104*i - 294 = 0.
3, 49
Factor 6*v**