 x.
-2, -1, 1, 2
Let u = 365 - 357. Factor 36*o - 13*o**4 + 17*o**4 + 28*o**3 - 8*o**4 - u*o**2 + 76*o**2.
-4*o*(o - 9)*(o + 1)**2
Suppose 9*x**2 - 5*x**2 - 31272*x + 61121124 - 3*x**2 - 5*x**2 + 8*x**2 = 0. Calculate x.
3909
Let r(f) be the first derivative of -f**6/95 + 7*f**5/190 - 4*f**3/57 - 144*f + 111. Let z(a) be the first derivative of r(a). Solve z(q) = 0.
-2/3, 0, 1, 2
Suppose -6*p - 6*p + 7*p - 8*n - 68 = 0, -22 = 2*n. Factor -1/3*h**p - 56/3*h - 32/3 - 10/3*h**3 - 12*h**2.
-(h + 2)**3*(h + 4)/3
Let d = 364461/7 - 52065. Factor -d*f**2 + 6/7*f**3 + 0 - 2/7*f**4 + 2/7*f.
-2*f*(f - 1)**3/7
Let g(w) = 2*w + 6. Let o be g(-2). Solve 62*u**5 - 16*u**3 - 8*u**o + 62*u**5 - 120*u**5 + 8*u**4 + 12*u = 0.
-3, -1, 0, 1
Let x(j) be the first derivative of -25 - 6*j**3 + 0*j + 9/160*j**5 + 0*j**2 - 7/96*j**4 + 1/360*j**6. Let h(s) be the third derivative of x(s). Factor h(d).
(d + 7)*(4*d - 1)/4
Find c, given that -302 - c**2 - 1364 - 4*c**2 - 351 - 1635*c - 1233 = 0.
-325, -2
Let f(t) = 4*t**2 + 15*t + 40. Let g(o) = 6*o**2 + 22*o + 64. Let r(c) = -8*f(c) + 5*g(c). Factor r(x).
-2*x*(x + 5)
Suppose 9*c - 4*c = -3*o + 55, 9 = -2*c + 5*o. Let -14*p + 42*p**3 - 72*p**2 + 162 - 121*p - c*p**5 + 5*p**5 + 6*p**4 = 0. Calculate p.
-3, -2, 1, 3
Let g = -686014/9 - -76224. What is k in 0*k**2 - 1/9*k**4 + 1/9 - 2/9*k + g*k**3 = 0?
-1, 1
Let a(c) be the first derivative of -100840/3*c**3 + 43 + 33425*c**4 + 13760*c**2 - 2560*c - 5782*c**5 + 1715/6*c**6. Factor a(z).
5*(z - 8)**2*(7*z - 2)**3
Let s(j) be the third derivative of -1/24*j**6 + 0*j**3 + 2/15*j**5 - 1/6*j**4 + 0*j - 161*j**2 + 1/210*j**7 + 0. Find i such that s(i) = 0.
0, 1, 2
Let a(z) be the first derivative of -z**4/8 - 22*z**3/3 - 21*z**2 + 624. Determine b so that a(b) = 0.
-42, -2, 0
Let 147/4 + 3*x**3 - 111*x - 579/4*x**2 = 0. Calculate x.
-1, 1/4, 49
Let u(z) be the first derivative of z**4/4 - z**3 - z**2 + 4*z + 21. Let r be u(0). Factor r*d - 4*d + 4*d + 0*d - 4*d**2 + 8.
-4*(d - 2)*(d + 1)
Let h be (-4)/(-5) + 9/900*1055. Let g = 63/5 - h. Factor 5/4*k**2 + 0*k - g.
5*(k - 1)*(k + 1)/4
Let c = -29014 - -29017. Let g(k) be the first derivative of 16/3*k + c - 2/3*k**2 - 2/9*k**3. Factor g(m).
-2*(m - 2)*(m + 4)/3
Let h(d) = -2*d**2. Let a(n) = 18*n + 8. Let j(g) = -a(g) + 2*h(g). Let x(l) = -9*l**2 - 38*l - 15. Let v(b) = -7*j(b) + 3*x(b). Let v(u) = 0. What is u?
-11, -1
Let s = -978602/13 + 75278. Factor 16/13 + s*h - 6/13*h**2 - 2/13*h**3.
-2*(h - 2)*(h + 1)*(h + 4)/13
Let v(m) be the second derivative of -m**4/20 - 12*m**3/5 + 168*m**2/5 - 94*m + 9. Let v(k) = 0. What is k?
-28, 4
Let p(i) be the first derivative of -122/3*i**3 - 7*i**4 - 84*i**2 - 72*i - 2/5*i**5 - 36. Factor p(z).
-2*(z + 1)**2*(z + 6)**2
Let z = 202679/3 - 67558. Factor 10*a + 25/3*a**2 + z*a**3 + 0.
5*a*(a + 2)*(a + 3)/3
Suppose 0 = -30*y + 19*y. Let j be 1/(-2)*y/(-2). Factor 0 - 20/3*w**3 + 4/3*w**2 + j*w.
-4*w**2*(5*w - 1)/3
Suppose 0 = 41*g - 1850259 + 1850095. Let 15/2*j**3 + 6*j + 0 - 3/4*j**g - 51/4*j**2 = 0. What is j?
0, 1, 8
Let g(z) be the third derivative of 0 + 1/15*z**5 - 1/6*z**4 - 4*z**3 + 4*z**2 - 6*z. Factor g(o).
4*(o - 3)*(o + 2)
Solve 8290*n**3 + 65*n**5 + 399*n**4 + 161*n**4 + 116 - 760*n**2 - 8060*n**3 - 295*n + 84 = 0.
-8, -1, 5/13, 1
Let p(s) be the second derivative of 1/96*s**4 - 1/336*s**7 + 36*s + 0*s**2 - 1/240*s**6 + 1/160*s**5 + 0*s**3 - 3. Let p(i) = 0. What is i?
-1, 0, 1
Let l(y) = -18*y**2 + 171*y - 906. Let t(h) = 49*h**2 - 512*h + 2716. Let m(v) = 8*l(v) + 3*t(v). Factor m(f).
3*(f - 50)*(f - 6)
Let m(b) be the first derivative of -2*b**3/9 + 89*b**2/3 + 60*b + 3187. Suppose m(t) = 0. Calculate t.
-1, 90
Let h(k) be the second derivative of -k**4/4 - 110*k**3 + 663*k**2/2 - 300*k. Factor h(z).
-3*(z - 1)*(z + 221)
Let t(j) = 75*j**2 - 19351*j + 261. Let n be t(258). Find b such that -n*b**2 - 1/2*b**3 - 20 + 18*b = 0.
-10, 2
Let p = -48 + 56. Let q(n) = n**3 - 7*n**2 - 8*n + 5. Let x be q(p). Factor -10*r - x*r**2 + 0*r**2 + r**2 - 6*r.
-4*r*(r + 4)
Let m be (-14)/(-3)*96/(-560) + (-616)/(-495). Factor -m*p**3 + 14/3*p**2 + 50/9 - 40/3*p.
-2*(p - 5)**2*(2*p - 1)/9
Suppose 0 = -5*r + 2*c + 62, r - 3*r = -2*c - 20. Let 39*x**2 + 18*x - 44*x**2 + 3*x + r*x = 0. Calculate x.
0, 7
Let o = -13 - 821. Let v = o - -2506/3. Solve 0 + 8/3*r**2 - v*r**5 + 0*r**3 - 8/3*r**4 + 4/3*r = 0 for r.
-1, 0, 1
Let u be ((-295)/30 + 10)*2 + (-24)/(-63). Let -u - 2/7*x**2 + 11/7*x = 0. What is x?
1/2, 5
Suppose -3*o + 3 - 2 = -5*q, -5*o = 2*q - 12. Let s be (q/2)/((-4)/((-64)/4)). Determine a, given that -a - 50*a**s - 5*a + 53*a**2 + 3 = 0.
1
Let g(q) = -4*q + 44. Let s be g(9). Let b be s/(-24) + 30/9. Let 13*l**5 + 5*l**5 - 20*l**2 + 4*l**b + 20*l**4 + 8*l - 30*l**5 = 0. What is l?
-1, 0, 2/3, 1
Let 2*l**3 - 42*l**5 - l**3 - 5*l**3 - 12*l**4 + 48*l**2 - 34*l**5 + 77*l**5 = 0. What is l?
-2, 0, 2, 12
Let t = -191 + 196. Let c be ((10/6)/t)/((-30)/(-18)). Let 0*i**2 + 0 - 4/5*i + c*i**3 = 0. What is i?
-2, 0, 2
Suppose 0 = 845*a - 4854 + 629. Determine r so that 0*r**3 - 2/5*r + r**4 - r**2 + 0 + 2/5*r**a = 0.
-2, -1, -1/2, 0, 1
Let r = -1233906 + 1233909. Let v = 0 + 2. Factor 0 + 0*w - 1/2*w**v + 1/6*w**r.
w**2*(w - 3)/6
Factor 1938 + 1634*f + 1100*f**3 + 1116*f**3 - 188*f - 426 - 2219*f**3 - 69*f**2.
-3*(f - 14)*(f + 1)*(f + 36)
Let p = -12168 + 60843/5. Let n(k) be the second derivative of -p*k**5 + 8*k + 0 - 5/3*k**4 + 2/15*k**6 + 8*k**2 + 2*k**3. Let n(m) = 0. What is m?
-1, 1, 4
Let f(q) be the first derivative of -1/16*q**4 - q**2 - 34 + q + 5/12*q**3. Factor f(b).
-(b - 2)**2*(b - 1)/4
Let f be 63/18 - (-108)/216. Let 2/9*s**5 - 2/9*s**f + 0 - 2/9*s**3 + 0*s + 2/9*s**2 = 0. What is s?
-1, 0, 1
Find p such that 164 + 319*p**3 + 7567*p + 177*p**3 - 12*p**4 - 152*p**2 - 8063*p = 0.
-1, 1/3, 1, 41
Let b(j) be the first derivative of j**5/140 - 13*j**4/56 + 6*j**3/7 + 24*j**2 - 45. Let x(c) be the second derivative of b(c). Let x(k) = 0. Calculate k.
1, 12
Let b be ((102/(-85))/2)/(0 - 1/15). Let y(l) be the second derivative of -5/6*l**4 + 14*l**2 + b*l + 0 - 11*l**3. Suppose y(p) = 0. What is p?
-7, 2/5
Suppose 2268*s = 2252*s. Factor -2/5*y**4 + 2/5*y**2 - 2/5*y + 2/5*y**3 + s.
-2*y*(y - 1)**2*(y + 1)/5
Let c(x) be the first derivative of -5*x**3/9 + 2885*x**2/6 + 2890*x/3 - 2541. Suppose c(a) = 0. What is a?
-1, 578
Let i(d) be the third derivative of 0*d**4 + 0 + 0*d**3 - 1/110*d**5 - 10*d**2 + 4*d - 1/1320*d**6. Solve i(m) = 0 for m.
-6, 0
Suppose -1770 - 627 = -1246*o + 95. What is p in 35/3*p**o - 4/3 + 68/3*p = 0?
-2, 2/35
Let y(j) = 2*j**2 - 22*j + 39. Suppose 0 = -5*k - 4*l + 22, 0*k = -3*k + 2*l. Let z be y(k). Determine b, given that 1/2*b**4 + 6*b**2 + z*b**3 + 0 + 4*b = 0.
-2, 0
Let v(u) be the first derivative of -2*u**3/15 - 19*u**2/5 + 8*u - 1960. Factor v(z).
-2*(z - 1)*(z + 20)/5
Let g(l) be the third derivative of 0*l**3 + 0*l + 0 + 1/220*l**6 - 32*l**2 - 1/66*l**5 + 1/66*l**4 - 1/1848*l**8 + 1/1155*l**7. Let g(r) = 0. Calculate r.
-2, 0, 1
Let p(f) be the second derivative of -f**4/3 + 22*f**3/3 + 252*f**2 - 11*f - 71. Let p(z) = 0. Calculate z.
-7, 18
Let f(u) = u**3 - 7*u**2 + 8*u - 8. Let v be 6/(-1 + -2) + 7 + 1. Let w be f(v). Determine l so that l**2 - 8*l + 11 + 1 + w = 0.
4
Let m = 101 - 99. Let h be 1/m + 1 + 175/2. Suppose -3 + 4 + 198 + 2*w**2 + h + 48*w = 0. Calculate w.
-12
Factor 879/5*u - 605*u**3 + 8/5 + 4818*u**2.
-(u - 8)*(55*u + 1)**2/5
Suppose -3*g = -5 - 10. Suppose i + 19 = g*d, 0 = -d + 4*i - 2*i + 11. Factor 4 + 6*p + 4 - 8*p**2 + 6*p - 20*p**d + 8*p.
-4*(p - 1)*(p + 1)*(5*p + 2)
Let l(r) be the third derivative of -r**6/30 - 51*r**5/5 + 103*r**4/2 - 310*r**3/3 + 386*r**2. Solve l(d) = 0 for d.
-155, 1
Determine l so that -4/9*l**4 + 0 + 2200/9*l**3 + 0*l + 2204/9*l**2 = 0.
-1, 0, 551
Let r(z) be the second derivative of 4/3*z**2 + 7/36*z**4 + 27*z + 0 - 1/60*z**5 - 7/9*z**3. Factor r(h).
-(h - 4)*(h - 2)*(h - 1)/3
Let m(s) be the third derivative of s**5/12 + 1765*s**4/2 + 3738270*s**3 - 3876*s**2. Determine j so that m(j) = 0.
-2118
Let a(k) = k**2 + 22*k + 2. Let c(m) = -2*m**2 + m + 782. Let v(o) = a(o) - c(o). What is p in v(p) = 0?
-20, 13
Factor 207*u**4 + 183*u**5 + 113*u**3 - 337*u**3 + 3896*u**3 + 3468*u**2 - 180*u**5.
3*u**2*(