 5*c**2 + 0*c = 0.
-2, 0, 1
Let j(x) be the first derivative of -9/8*x**4 - 9 + 3/20*x**5 + 0*x**2 - 1/120*x**6 - 2/3*x**3 + 0*x. Let p(y) be the third derivative of j(y). Factor p(i).
-3*(i - 3)**2
Let u(b) be the first derivative of b**5/450 - 2*b**4/45 + 16*b**3/45 - 17*b**2/2 - 18. Let q(i) be the second derivative of u(i). Factor q(c).
2*(c - 4)**2/15
Let a(f) be the first derivative of -3/7*f**2 - 8/21*f**3 + 36/7*f + 1/14*f**4 - 17. Solve a(m) = 0.
-2, 3
Let k(y) be the first derivative of y**4/102 - 10*y**3/51 + 25*y**2/17 - 38*y - 20. Let x(v) be the first derivative of k(v). Factor x(o).
2*(o - 5)**2/17
Let t(d) = 3*d**2 + 0*d - 2*d + 0*d**2 + 3*d. Let y be t(1). Find c, given that -c - 2*c**3 - c + y*c - 2*c**2 + 2*c**4 = 0.
-1, 0, 1
Let f = 979/2450 - -1/2450. Factor f*c + 0 - 2/5*c**2.
-2*c*(c - 1)/5
Let d(g) = g**2 - g + 1. Let s(y) = -3*y**3 + 3*y**2 + 18*y - 42. Let f(k) = -6*d(k) - s(k). Factor f(u).
3*(u - 3)*(u - 2)*(u + 2)
Solve 2/9*f + 4/9*f**2 - 2/9 + 2/9*f**5 - 4/9*f**3 - 2/9*f**4 = 0 for f.
-1, 1
Let w be (3 + (-8)/6)*3. Suppose 0 = -2*j + w*m + 10 + 8, j = -2*m. Factor -8/3*f**3 + 0*f + 0 + 8/3*f**2 + 2/3*f**j.
2*f**2*(f - 2)**2/3
Let t(x) be the first derivative of -x**6/135 - 7*x**5/270 + x**4/54 + 6*x**2 + 14. Let i(r) be the second derivative of t(r). What is h in i(h) = 0?
-2, 0, 1/4
Let v(d) be the first derivative of -1/30*d**4 + 1/5*d**2 - 4 + 0*d**3 + 5*d. Let y(k) be the first derivative of v(k). Factor y(j).
-2*(j - 1)*(j + 1)/5
Let a(c) be the first derivative of -c**5/20 - c**4/8 + c**3/12 + c**2/4 - 283. Determine i so that a(i) = 0.
-2, -1, 0, 1
Let o(m) be the third derivative of 2/25*m**5 + 0*m + 13*m**2 + 16/15*m**3 + 2/5*m**4 + 0 + 1/150*m**6. Factor o(j).
4*(j + 2)**3/5
Let g(o) be the first derivative of 14*o**6/3 + 72*o**5/5 - 58*o**4 - 112*o**3 + 342*o**2 - 216*o + 160. Suppose g(p) = 0. What is p?
-3, 3/7, 1, 2
Let i be 0/(-3) - (79 + -1)/1. Let c = i - -81. Find a, given that -2/11*a**c - 2/11*a**2 + 2/11*a + 2/11 = 0.
-1, 1
Let d(u) = -35*u**2 - 29*u + 14. Let v(q) = 315*q**2 + 260*q - 125. Suppose 7*f - 4*f + 12 = 0. Let g(j) = f*v(j) - 35*d(j). Factor g(h).
-5*(h + 1)*(7*h - 2)
Factor -1481 - 1944*l + 61*l**2 - 95*l**2 - 10183 - 2*l**3 - 74*l**2.
-2*(l + 18)**3
Let c(t) be the first derivative of 2 - 1/2*t**4 - 8/3*t**3 - 4*t - 5*t**2. Find x such that c(x) = 0.
-2, -1
Suppose 4*r + 6 = 5*h, -951*h + 949*h - 2*r + 6 = 0. Factor 2/5*j**h + 0 + 3/5*j - 1/5*j**3.
-j*(j - 3)*(j + 1)/5
Let j(a) be the third derivative of -a**6/24 + 13*a**5/6 - 245*a**4/24 + 20*a**3 + 2*a**2. Let j(y) = 0. Calculate y.
1, 24
Let v(z) be the first derivative of -z**3/3 - 17*z**2/2 + 232. Let v(y) = 0. Calculate y.
-17, 0
Let o(z) be the second derivative of z**8/3360 + z**7/1260 + 5*z**4/12 - 11*z. Let b(l) be the third derivative of o(l). Suppose b(s) = 0. What is s?
-1, 0
Let x(p) = 20*p**2 + 16*p - 21. Let u(h) = 7*h**2 + 6*h - 7. Let c(t) = -2*t + 60. Let y be c(27). Let g(f) = y*x(f) - 17*u(f). Factor g(v).
(v - 7)*(v + 1)
Let u = 327/940 + -14/47. Let s(y) be the second derivative of 1/120*y**6 + 5*y + 0 + 1/6*y**3 - 1/2*y**2 - u*y**5 + 1/16*y**4. What is v in s(v) = 0?
-1, 1, 2
Let p be (2/48)/(4 + 14/(-4)). Let r(v) be the first derivative of 7 + 0*v**2 + p*v**3 - 1/4*v. Factor r(s).
(s - 1)*(s + 1)/4
Let p be ((-64)/5)/(-4)*5. Factor -p - 44*q - 10 - 20*q**2 + 18.
-4*(q + 2)*(5*q + 1)
Let q(x) be the second derivative of x**5/170 + x**4/17 - 5*x**3/17 + 8*x**2/17 - 17*x. Solve q(i) = 0 for i.
-8, 1
Let y(x) be the third derivative of x**5/30 + 19*x**4/24 + 2*x**3 - 31*x**2. Let u be y(-9). Solve 4/7*s**2 + 0 + 2/7*s**u + 2/7*s = 0 for s.
-1, 0
Let f(z) be the second derivative of -z**5/50 + 2*z**4/5 - 3*z**3 + 10*z**2 - 2*z - 44. Factor f(j).
-2*(j - 5)**2*(j - 2)/5
Suppose -5*i + 15 = -0. Let n(u) be the second derivative of 0 + 2*u**2 + 2/3*u**4 + 1/10*u**5 + 5/3*u**i + 3*u. Factor n(r).
2*(r + 1)**2*(r + 2)
Let t(l) be the second derivative of -l**2 - 12*l - 1/2*l**4 + 0 - l**3 - 1/10*l**5. Find h such that t(h) = 0.
-1
Let n be 30/9 - 40/30. Let k(a) be the first derivative of 4 + 16/3*a - 4*a**n + 4/3*a**3 - 1/6*a**4. What is z in k(z) = 0?
2
Factor -13*f**3 + 0*f + 0 - 4/3*f**4 + 10/3*f**2.
-f**2*(f + 10)*(4*f - 1)/3
Let l(g) be the first derivative of 4*g**5/5 + 6*g**4 + 12*g**3 + 8*g**2 + 172. Factor l(w).
4*w*(w + 1)**2*(w + 4)
Let z(b) = 4*b**2 + 10*b - 8. Let n(o) = -o**3 - 9*o**2 - 21*o + 16. Let x(d) = 2*n(d) + 5*z(d). Determine g, given that x(g) = 0.
-2, 1, 2
Let y(p) = -p**3 - 13*p**2 + 14*p + 2. Let r be y(-14). Let l(z) = -3*z**r + 2 + 3 + z**2 - 3 + 2*z. Let k(t) = -t - 1. Let i(j) = 2*k(j) + l(j). Factor i(c).
-2*c**2
Let h(f) = -f**2 - 6*f + 2. Let u be h(-6). Suppose 0 = -2*m + 5*m - 2*r - 4, -u = -2*r. Determine j so that 10*j**2 + 1 + 3 - 8*j**2 - m*j + 8*j = 0.
-2, -1
What is o in 2/13*o**2 - 4*o - 54/13 = 0?
-1, 27
Suppose 12*c + 5*t = 15*c - 16, -5*c + t + 12 = 0. Factor 0*a + 2/9 - 2/9*a**c.
-2*(a - 1)*(a + 1)/9
Suppose -b = 6 - 1, -48 = 4*p + 4*b. Let h be (p - -1)*(-26)/52. Factor 2/3*g**2 - g**h + 7/3*g + 2/3.
-(g - 2)*(g + 1)*(3*g + 1)/3
Suppose d - 18 = 3*a + 11, 3*a - 4*d = -44. Let x be ((-2)/140*a)/(6/135). Factor -12/7*z - x - 2/7*z**2.
-2*(z + 3)**2/7
Let a(g) be the third derivative of -g**7/210 + g**5/60 - 594*g**2. Let a(n) = 0. What is n?
-1, 0, 1
Let q(k) be the second derivative of -7*k**4 + 147/20*k**5 + 0*k**2 + 2*k**3 + 5*k + 0. Factor q(x).
3*x*(7*x - 2)**2
Let x(c) = -3*c**2 + 126*c - 276. Let q(o) = -3*o**2 + 127*o - 272. Let y(a) = -6*q(a) + 5*x(a). Factor y(b).
3*(b - 42)*(b - 2)
Suppose 12 = 5*s + l, 35*l + 18 = 4*s + 40*l. Factor 0*q - 4/3*q**s + 4/3.
-4*(q - 1)*(q + 1)/3
Let v(g) = 47*g**4 - 23*g**3 - 45*g**2 + 23*g - 2. Let n(t) = 95*t**4 - 45*t**3 - 91*t**2 + 45*t - 4. Let a(o) = 3*n(o) - 5*v(o). Find k such that a(k) = 0.
-1, 1/5, 1
Let m(a) be the third derivative of -1/504*a**8 + 0*a**5 - 4/315*a**7 + 0*a**4 + 0*a**3 + 2*a**2 + 0 + 0*a - 1/60*a**6. Factor m(n).
-2*n**3*(n + 1)*(n + 3)/3
Let f = -2860 + 2860. Let 0*i**3 + 1/8*i**4 + f*i - 1/8*i**2 + 0 = 0. What is i?
-1, 0, 1
Suppose 0 = -10*x + 4 + 16. Suppose g + 28 = 5*f + 8, 0 = x*f - 3*g - 8. Factor -10*s**3 + 0 - 8/9*s + 16/3*s**2 + 50/9*s**f.
2*s*(s - 1)*(5*s - 2)**2/9
Let l = 14 - 12. Suppose l = 4*f - 10. Solve 6*v**3 + 5*v**f - 2*v**3 - 2*v**2 + 4*v**2 = 0 for v.
-2/9, 0
Factor 8/3*a**3 - 10/3*a + 2/3*a**5 + 8/3*a**4 - 4/3*a**2 - 4/3.
2*(a - 1)*(a + 1)**3*(a + 2)/3
Factor -409*b + 136*b + 87*b**3 + 178*b + 50*b**3 - 5*b**2 + 5*b**4 - 42*b**3.
5*b*(b - 1)*(b + 1)*(b + 19)
Let n(v) be the first derivative of v**6/6 + 3*v**5/4 + 5*v**4/4 + 5*v**3/6 + 5*v - 22. Let b(z) be the first derivative of n(z). Suppose b(p) = 0. What is p?
-1, 0
Let v(j) be the second derivative of -j**4/66 - 10*j**3/33 - 9*j**2/11 + j - 17. Solve v(h) = 0.
-9, -1
Let r be (8/(-6))/((-2)/3). Factor 54*z**4 - 16*z**2 - 59*z**4 - 5*z + z**r - 15*z**3.
-5*z*(z + 1)**3
Suppose -66 = -4*z + 2*g, -z + 39 = 2*z + 2*g. Let q be (-9)/z + (0 - (-648)/280). Factor 2/7*i**2 + 2/7*i - q.
2*(i - 2)*(i + 3)/7
Let t(p) = p**2 - 2. Let y be t(2). Factor -3*k**3 - 3*k**3 + 5*k**3 - 2*k**3 - 3*k + 6*k**y.
-3*k*(k - 1)**2
Let h(m) = -m**3 - 21*m**2 - m - 18. Let q be h(-21). Let z be (16/q)/((-10)/(-3)). Factor 4/5*n - 4/5*n**4 - 4/5 + 4/5*n**5 + 8/5*n**2 - z*n**3.
4*(n - 1)**3*(n + 1)**2/5
Suppose 104 = -5*k - 3*y, k = 4*y - 40 + 10. Let c be k/33 + (-8)/(-3). Solve 0*p**2 + 2*p**2 + 2*p**3 - c*p**3 - 2*p**4 = 0 for p.
-1, 0, 1
Let n be (-12)/8*16/12. Let z be 24 + n - 0/(-3). Suppose -3*v**2 + 6*v**2 + 5*v - 13 + z - 17*v = 0. Calculate v.
1, 3
Let d = -447 - -450. Let n(i) be the second derivative of 0*i**d + 3/5*i**5 + 0*i**2 + 0 - 3/5*i**6 - 8*i - 1/6*i**4. Factor n(f).
-2*f**2*(3*f - 1)**2
Find l such that -6/5*l - 2*l**3 - 2/5 + 18/5*l**2 = 0.
-1/5, 1
Let t(x) = -4*x**3 + 101*x**2 + 464*x + 483. Let n(k) = k**2 - 1. Let z(g) = -3*n(g) - t(g). Solve z(h) = 0.
-2, 30
Let f be ((-44)/25 - -2)/(2*1). Let r(v) be the first derivative of f*v**5 + 0*v + 3/10*v**4 + 0*v**3 + 8 + 0*v**2. Solve r(d) = 0.
-2, 0
Let s = -51 + 56. Suppose 0 = -5*a + 10 + s. Let -h**2 - 4/3*h**a - 2/3 + 3*h = 0. What is h?
-2, 1/4, 1
Let w(j) be the third 