*6/75 + 3*x**5/50 + x**4/10 + x**3/15 + 33*x. Factor s(h).
2*h*(h + 1)**3/5
Suppose 6 = 6*m - 4*m. Factor -9*c - m*c**3 + 6*c + 6*c**2 + 0*c**3.
-3*c*(c - 1)**2
Solve 215*a**2 - 30 + 4*a**3 + 6 + 52*a - 247*a**2 = 0.
1, 6
Suppose 0 = -2*j - 3*j + 30. Let l(s) be the first derivative of 1/2*s**4 + 0*s**3 - 4/5*s**5 + 0*s**2 + 1/3*s**j - 2 + 0*s. Find r such that l(r) = 0.
0, 1
Let u(f) be the third derivative of -f**8/3360 + f**7/630 + f**6/360 - f**5/30 + 5*f**4/24 + f**2. Let z(x) be the second derivative of u(x). Factor z(y).
-2*(y - 2)*(y - 1)*(y + 1)
Let k(l) be the second derivative of -l**6/20 + 3*l**5/8 - 9*l**4/8 + 7*l**3/4 - 3*l**2/2 - 12*l. Factor k(o).
-3*(o - 2)*(o - 1)**3/2
Let j(r) be the second derivative of -r**6/180 + r**5/120 + 5*r**4/72 + r**3/12 - 9*r. Let j(p) = 0. Calculate p.
-1, 0, 3
Let l = -263/126 + 15/7. Let p(u) be the second derivative of -2*u + l*u**3 + 0 - 1/6*u**2 + 1/36*u**4 - 1/60*u**5. Let p(h) = 0. What is h?
-1, 1
Let o(x) be the second derivative of -3*x**5/20 + x**3/2 - 35*x. Factor o(q).
-3*q*(q - 1)*(q + 1)
Let b(x) be the third derivative of x**5/30 - x**4/8 + x**3/6 - x**2. Let v be b(2). Factor 0*h**3 + v*h - h**3 - h + h**2.
-h*(h - 2)*(h + 1)
Let m = 6 - 3. Suppose 3*i = -3*x + 9, 4*i = -4*x + 6*x - 6. Let 0*o**4 - o**4 + 0*o**x - o**m = 0. What is o?
-1, 0
Let i = -209 + 211. Factor 0 + 21/4*t**3 + 15/4*t**i - 3/2*t.
3*t*(t + 1)*(7*t - 2)/4
Let f(y) = y**2 - 11*y - 38. Let n be f(-3). Solve -1/2*d**n + 0*d**2 + 0*d**3 + 0*d + 0 = 0.
0
Let s(l) be the third derivative of 0 + 0*l**4 + 0*l**3 + 1/420*l**7 + 0*l**5 - 1/240*l**6 + 1/336*l**8 + 0*l - 3*l**2. Factor s(i).
i**3*(i + 1)*(2*i - 1)/2
Let p(b) = -b. Suppose 2*y = 1 - 3, y - 5 = 2*z. Let f be p(z). Factor 0 + 8/5*g**2 - 2/5*g**f - 8/5*g.
-2*g*(g - 2)**2/5
Let r(a) be the first derivative of -3*a**5/5 + 9*a**4/4 + 7. What is p in r(p) = 0?
0, 3
Let j(p) be the second derivative of p**5/2 + p**4/2 - 2*p**3/3 - 6*p. Factor j(v).
2*v*(v + 1)*(5*v - 2)
Let h(v) be the second derivative of v**7/42 - 3*v**6/10 + 29*v**5/20 - 43*v**4/12 + 5*v**3 - 4*v**2 + 3*v - 6. Factor h(g).
(g - 4)*(g - 2)*(g - 1)**3
Let z(j) be the second derivative of 1/6*j**4 - 1/15*j**3 + 4*j + 0*j**2 + 0 + 4/75*j**6 - 4/25*j**5. Suppose z(p) = 0. What is p?
0, 1/2, 1
Let t(q) be the second derivative of -2*q**7/105 - 4*q**6/75 - q**5/25 + 16*q. Factor t(l).
-4*l**3*(l + 1)**2/5
Let g(x) = x**2 - x. Let w(o) = 3*o**3 - 5*o**2 - 4*o + 6. Let f(q) = -5*g(q) - w(q). Factor f(b).
-3*(b - 1)**2*(b + 2)
Let x = -9 - -11. Suppose -2*p - x*p + 20 = 0. Factor 1/4*o + 1/4*o**p + 0*o**2 + 0 + 0*o**4 - 1/2*o**3.
o*(o - 1)**2*(o + 1)**2/4
Suppose 0 = -5*l - 2 + 12. Let d be ((-1 - -2)/1)/l. Suppose -7/4*k**5 - 13/2*k**4 - 4*k**2 - 17/2*k**3 + d + 1/4*k = 0. Calculate k.
-1, 2/7
Let j(h) be the third derivative of -h**8/784 + h**6/140 - h**4/56 + 3*h**2. Factor j(l).
-3*l*(l - 1)**2*(l + 1)**2/7
Let k(l) = -3 - 2 - 2*l + l + 2*l. Let w be k(7). Factor 2/3*s**w + 1/3*s + 1/3*s**3 + 0.
s*(s + 1)**2/3
Let p(u) be the third derivative of u**6/720 - u**5/120 + 2*u**3/3 + 4*u**2. Let k(h) be the first derivative of p(h). Find s such that k(s) = 0.
0, 2
Let f = 2/23 - -128/115. Factor -2/5*r + 4/5 - f*r**2.
-2*(r + 1)*(3*r - 2)/5
Let d be (-1825)/(-450) - 8/(-18). Factor 0 + 3*f - 3/2*f**2 - d*f**3.
-3*f*(f + 1)*(3*f - 2)/2
Let o(m) be the first derivative of -3 + 0*m**2 + 1/21*m**6 + 0*m - 2/35*m**5 - 1/14*m**4 + 2/21*m**3. What is x in o(x) = 0?
-1, 0, 1
Let w be 14/4 - (21/2)/7. Let h(s) be the second derivative of 1/6*s**4 + 0*s**w + 2/3*s**3 + 2*s + 0. Suppose h(v) = 0. Calculate v.
-2, 0
Let z = -35/2 - -18. Let s(c) be the first derivative of 1/3*c + 1/12*c**4 - 2 + 1/3*c**3 + z*c**2. What is j in s(j) = 0?
-1
Let d(f) be the third derivative of -f**2 + 0 + 0*f**4 - 1/210*f**5 + 0*f + 1/21*f**3. Factor d(x).
-2*(x - 1)*(x + 1)/7
Let f(j) = 12*j**4 + 30*j**3 + 18*j**2 - 4. Let o(q) = 13*q**4 + 31*q**3 + 17*q**2 - q - 5. Let w(g) = 5*f(g) - 4*o(g). Suppose w(l) = 0. What is l?
-2, -1, -1/4, 0
Let s(r) be the second derivative of 0 + 3*r - 4/3*r**3 - 5/6*r**4 - 7/2*r**2. Let a(n) = -n**2 - n - 1. Let c(z) = -18*a(z) + 2*s(z). Factor c(d).
-2*(d - 2)*(d + 1)
Let o be (-5 + (2 - 0))/(-1). Factor 3 + o*u**2 - u**2 - u**4 - 4.
-(u - 1)**2*(u + 1)**2
Let d(w) be the third derivative of w**8/3360 - 7*w**4/24 + 4*w**2. Let b(p) be the second derivative of d(p). Factor b(u).
2*u**3
Let o(w) be the second derivative of 0 - w - 1/36*w**4 - 1/60*w**5 + 1/18*w**3 + 1/90*w**6 + 0*w**2. Let o(k) = 0. Calculate k.
-1, 0, 1
Suppose 6*d + 10 = 5*d. Let f(r) = 2*r**2 + 21*r + 12. Let j be f(d). Determine c so that 1/3*c**j - 1/3 - 2/3*c**3 + 2/3*c = 0.
-1, 1/2, 1
Let k(s) be the third derivative of -s**7/10080 - s**6/480 - 3*s**5/160 + s**4/8 - 3*s**2. Let n(l) be the second derivative of k(l). Factor n(i).
-(i + 3)**2/4
Let j(r) be the second derivative of -27*r**4/10 - 12*r**3/5 - 4*r**2/5 + 4*r. Let j(g) = 0. Calculate g.
-2/9
Let l = -6 - -8. Let h(n) = n**2 - n - 1. Let j(d) = 2*d**2 - d - 2. Let y(w) = l*j(w) - 3*h(w). Let x(c) = 9*c**2 - 3. Let t(o) = -x(o) + 6*y(o). Factor t(u).
-3*(u - 1)**2
Suppose -4*o - 2*i = 0, -2*o - 3*o = -2*i. Suppose 7*k = 6*k + 4. Suppose -1/3*c**k + 1/3*c**2 - 1/3*c + 1/3*c**3 + o = 0. What is c?
-1, 0, 1
Factor 42*j - 26/9*j**4 - 18 + 2/9*j**5 + 44/3*j**3 - 36*j**2.
2*(j - 3)**4*(j - 1)/9
Factor 5*i**4 - 3*i**5 + 6*i**3 - 9*i**4 + 4*i**4 - 3*i.
-3*i*(i - 1)**2*(i + 1)**2
Let l(w) = -12*w**2 - 15*w + 27. Let d(c) = -3*c**2 - 4*c + 7. Let b(j) = -15*d(j) + 4*l(j). Find k such that b(k) = 0.
-1, 1
Let b(j) = -j**4 - j**3 - j**2 + j + 1. Let c(d) = -23*d**4 - 14*d**3 + 61*d**2 - 4*d - 22. Let h(y) = -2*b(y) + c(y). Find t such that h(t) = 0.
-2, -4/7, 1
Solve 0 - 2/15*c**2 - 4/5*c + 8/15*c**3 - 2/15*c**4 = 0 for c.
-1, 0, 2, 3
Let h be 1/10*4/16. Let m(x) be the second derivative of 0 - x + 1/2*x**2 + 1/120*x**6 - 1/6*x**3 - 1/16*x**4 + h*x**5. Solve m(b) = 0.
-2, 1
Factor 2/3 + 0*x - 1/6*x**2.
-(x - 2)*(x + 2)/6
Suppose 3*g + 5 = m, -3*m = -m - 3*g - 10. Let u(k) be the third derivative of 0*k - k**2 + 1/8*k**4 + 0 - 1/6*k**3 + 1/15*k**m. Factor u(c).
(c + 1)*(4*c - 1)
Let f(a) be the first derivative of -5*a**3/9 + 13*a**2/6 + 2*a - 7. Factor f(o).
-(o - 3)*(5*o + 2)/3
Let i(y) be the first derivative of 2/5*y**5 + 0*y**2 - 1/4*y**4 + 4 - 1/3*y**3 + 0*y. Solve i(b) = 0 for b.
-1/2, 0, 1
Let i(d) = d**2 + 1. Let a(p) = -3*p**2 - 4. Let q(u) = 2*a(u) + 7*i(u). Let q(b) = 0. Calculate b.
-1, 1
Let y(m) be the first derivative of 3*m**4/8 - 31*m**3/8 + 15*m**2/4 + 21*m/8 - 49. Factor y(g).
3*(g - 7)*(g - 1)*(4*g + 1)/8
Suppose 14 = 5*o - 1. Let s be 4*o/60*2. Factor 2/5*k**3 - s*k**2 + 0 + 0*k.
2*k**2*(k - 1)/5
Let r(c) be the first derivative of -3*c**4/20 - 2*c**3/5 - 5. Factor r(t).
-3*t**2*(t + 2)/5
Suppose -2*q + k = 6*k - 44, 2*q = -3*k + 36. Let g be ((-6)/(-8))/(3/q). Factor -n**2 + n**g + 3*n**2 + 4*n**3.
n**2*(5*n + 2)
Suppose -d + 5*s + 0 = 12, 5*d + 16 = 3*s. Let a be (-90)/(-27) - (d + 5). Factor a*l**4 + 0*l + 2/3*l**3 + 0 + 1/3*l**2.
l**2*(l + 1)**2/3
Suppose -1 = -2*p + 13. Let r(m) = m + 3. Let w be r(p). Factor w*t**2 + 3*t**3 + 5*t**2 + 3*t + 9*t - 3*t**2.
3*t*(t + 2)**2
Let a(i) be the third derivative of i**7/210 + i**6/120 - 4*i**2. Determine g, given that a(g) = 0.
-1, 0
Let c(f) = -2*f**3 - f**2 - f. Let d(l) = l**2 - l. Let u be 6/(-3)*2/4. Let w(p) = u*d(p) + c(p). Solve w(b) = 0.
-1, 0
Let d be (-1)/((-25)/15) + 6/(-10). Factor -3/2*j**3 + 3/2*j + 0*j**2 + d.
-3*j*(j - 1)*(j + 1)/2
Let d(z) be the second derivative of z**4/2 - 26*z**3/3 - 9*z**2 - 3*z + 16. Solve d(t) = 0.
-1/3, 9
Let k(m) = m**4 - m**3 - 4*m + 4. Let j(s) = -s**2 + 3*s - 1. Let n be j(2). Let t(c) = -n - c + 0*c + 2*c. Let x(y) = -k(y) - 4*t(y). Factor x(u).
-u**3*(u - 1)
Let c(s) be the third derivative of s**9/22680 - s**8/10080 - s**4/24 - 2*s**2. Let a(k) be the second derivative of c(k). Suppose a(b) = 0. Calculate b.
0, 1
Let r(f) be the first derivative of f**6/18 - f**5/15 - f**4/12 + f**3/9 - 6. Find c such that r(c) = 0.
-1, 0, 1
Let m be (2 - 2)*5/15. Let v be ((-8)/4 - -4) + m. Determine i, given that 0*i**v - 2/3*i**3 + 4/3*i**4 + 0 + 0*i - 2/3*i**5 = 0.
0, 1
Let z(k)