0 + a**6/180 + a**5/30 - a**4/12 - 3*a. Let h(n) be the third derivative of o(n). Factor h(l).
(l + 2)**2
Factor -4/3*z + 2/9*z**2 + 8/9*z**3 + 0 + 2/9*z**4.
2*z*(z - 1)*(z + 2)*(z + 3)/9
Let g(f) = -f**3 - 8*f**2 + f + 10. Let y be g(-8). Let -1 - 3*m - 1 + m**y + 1 + 3 = 0. Calculate m.
1, 2
Let y(b) be the first derivative of -1/12*b**2 - 9 + 0*b**3 + 1/24*b**4 + 0*b. Factor y(o).
o*(o - 1)*(o + 1)/6
Let u(w) be the first derivative of w**8/336 - w**7/840 - w**6/72 + w**5/120 + w**3/3 - 5. Let f(b) be the third derivative of u(b). Factor f(v).
v*(v - 1)*(v + 1)*(5*v - 1)
Let u(i) be the third derivative of -i**7/4200 + i**5/50 + 5*i**4/24 + 5*i**2. Let w(c) be the second derivative of u(c). Suppose w(f) = 0. Calculate f.
-2, 2
Let o(w) be the second derivative of w**8/3360 - w**7/1680 - w**3/2 - w. Let h(j) be the second derivative of o(j). Factor h(c).
c**3*(c - 1)/2
Let d be ((-2)/(-92))/(6/(-40)). Let q = d - -671/345. Factor 3/5 + 0*v - q*v**2 - 6/5*v**3.
-3*(v + 1)**2*(2*v - 1)/5
Let t = 0 - -4. Factor -4*f**t + 2*f**4 + f**2 - 2*f**2 + 2*f**5 - 2*f**3 + 3*f**2.
2*f**2*(f - 1)**2*(f + 1)
Let r be 0*(-1)/2 - 360/(-300). Determine q, given that 0*q**2 + r*q - 2/5*q**3 + 4/5 = 0.
-1, 2
Let s be 272/72 - (-2)/9. Factor 2*t**3 + 0*t**2 + 3*t**s - t**2 - 2*t**2 - 2*t + 0*t**2.
t*(t - 1)*(t + 1)*(3*t + 2)
Let n(l) be the second derivative of -3*l**5/5 + 7*l**4/4 - l**3 - 3*l**2/2 - 2*l. Find y, given that n(y) = 0.
-1/4, 1
Let l(d) be the first derivative of 1/6*d**3 - 4 - 3/4*d**2 + d. Factor l(c).
(c - 2)*(c - 1)/2
Let z(n) = -n**3 - 7*n**2 - 6*n + 1. Let c be z(-6). Let g(m) = m. Let u(f) = f**2 + 6*f - 2. Let b(h) = c*u(h) - 5*g(h). Factor b(l).
(l - 1)*(l + 2)
Let z = 1233/9650 - 3/386. Let g(y) be the first derivative of 0*y - 1 - 3/20*y**4 + 0*y**3 + 0*y**2 - z*y**5. Factor g(x).
-3*x**3*(x + 1)/5
Let m(a) be the second derivative of a**7/3360 + a**6/720 + a**3/3 - 2*a. Let h(l) be the second derivative of m(l). Determine c so that h(c) = 0.
-2, 0
Let y be (-11 + 6 - -5)/(-2). Factor -1/7*m**2 + y*m + 1/7.
-(m - 1)*(m + 1)/7
Let x be (-8)/(-6)*(-42)/(-28). Let m + 0*m**3 - 6*m**3 - 2*m**3 + 7*m**3 - 4*m**x + 4*m**4 = 0. Calculate m.
-1, 0, 1/4, 1
Let b(a) be the second derivative of a**4/24 - 2*a**3/3 + 4*a**2 + 8*a. Factor b(l).
(l - 4)**2/2
Determine t, given that -6/11*t + 4/11 + 2/11*t**2 = 0.
1, 2
Let c(k) = k**2 + k. Let n(i) = -29*i**2 + 36*i + 20. Let d(u) = -4*c(u) - n(u). Suppose d(x) = 0. What is x?
-2/5, 2
Let n(j) be the first derivative of 0*j + 2/21*j**3 - 5/28*j**4 + 0*j**2 - 5. Factor n(t).
-t**2*(5*t - 2)/7
Let s(p) be the second derivative of -p**10/15120 - p**9/2520 - p**8/1120 - p**7/1260 - p**4/6 - 5*p. Let g(b) be the third derivative of s(b). Factor g(o).
-2*o**2*(o + 1)**3
Let y be 90/(-175) + 6*(-2)/(-15). Factor 0 - y*p - 4/7*p**2 - 2/7*p**3.
-2*p*(p + 1)**2/7
Let c(u) = 5*u**2 + 17*u. Let b(w) = 6*w**2 + 18*w. Let x(h) = -3*b(h) + 4*c(h). Factor x(l).
2*l*(l + 7)
Let z be 3*1*(-1 + 2). Let f(t) = -t**3 - 6*t**2 + 7*t. Let s be f(-7). Suppose s*i**z + 0*i**3 + 2*i**4 - i**5 - i**4 = 0. Calculate i.
0, 1
Let k(m) be the third derivative of -1/120*m**6 - 1/420*m**7 + 0 + 0*m**3 + 0*m + 0*m**4 - 1/120*m**5 + m**2. Factor k(h).
-h**2*(h + 1)**2/2
Let -3/4*r**3 + 9/4*r**4 + 3/2 + 3/4*r - 15/4*r**2 = 0. Calculate r.
-1, -2/3, 1
Suppose 6*q - 3*q = 12. Let 0*l**3 + 3*l**3 - 2*l**2 - 7*l**q + 6*l**4 = 0. What is l?
0, 1, 2
Let j(l) be the first derivative of 4*l**5/15 + 2*l**4 + 16*l**3/3 + 20*l**2/3 + 4*l + 27. Solve j(i) = 0.
-3, -1
Factor 0 + 1/5*t**2 - 1/10*t**3 + 3/10*t.
-t*(t - 3)*(t + 1)/10
Let b(g) be the first derivative of -g**7/3360 - g**6/1440 - 4*g**3/3 + 8. Let i(m) be the third derivative of b(m). Let i(q) = 0. What is q?
-1, 0
Factor 106*o**2 + 0*o**3 - 2*o - o**3 - 109*o**2.
-o*(o + 1)*(o + 2)
Let n(c) be the third derivative of -c**7/1680 - c**6/160 - c**5/40 + c**4/8 - 3*c**2. Let u(i) be the second derivative of n(i). What is p in u(p) = 0?
-2, -1
Let d(j) be the second derivative of j**4/18 + 12*j. Find o such that d(o) = 0.
0
Let y = 33/7 + -257/56. Let g(r) be the third derivative of 1/120*r**6 + 0 + 1/3*r**3 + 0*r**5 - y*r**4 + 0*r + 2*r**2. Let g(l) = 0. Calculate l.
-2, 1
Factor -15*s + 24*s**3 - 19*s**3 + 15*s**2 - 10*s**3 + 5.
-5*(s - 1)**3
Let l be (0 - -2)/2*(-15)/(-75). Let q(s) be the second derivative of -4/15*s**3 + 3*s + 0 - 2/25*s**5 - l*s**2 - 1/75*s**6 - 1/5*s**4. Factor q(c).
-2*(c + 1)**4/5
Suppose -2*v + 5 = -1. Factor 3*d**2 - 1 - 1 - v*d - d**3 + 3.
-(d - 1)**3
Suppose 0 + 1/5*h**3 + 2/5*h**2 + 1/5*h = 0. Calculate h.
-1, 0
Let j(g) = 9*g**5 - 5*g**4 - 8*g**3 + 5*g**2 + 4*g. Let l(q) = 5*q**5 - 3*q**4 - 4*q**3 + 3*q**2 + 2*q. Let x(n) = -3*j(n) + 5*l(n). Find a such that x(a) = 0.
-1, 0, 1
Let a(k) be the first derivative of 3*k - 9/4*k**2 + 1/2*k**3 - 2. Solve a(b) = 0 for b.
1, 2
Let s = 161 - 308. Let w be (-14)/s*18/2. Let 0 + 2/7*q - w*q**3 + 4/7*q**2 = 0. What is q?
-1/3, 0, 1
Let l(k) be the third derivative of k**6/30 + k**5/15 - k**4/6 - 2*k**3/3 - 21*k**2. Find s such that l(s) = 0.
-1, 1
Suppose -5*b - 3*l + 5*l + 31 = 0, -3*l = -5*b + 29. Find v such that -7*v**3 + b*v**3 - 5*v**4 + 4*v**4 - v**3 = 0.
-1, 0
Let o(r) = 11*r**4 + 6*r**3 - 5*r**2 - 7*r + 7. Let p(v) = -5*v**4 - 3*v**3 + 2*v**2 + 3*v - 3. Let g = 19 + -13. Let c(y) = g*o(y) + 14*p(y). Factor c(x).
-2*x**2*(x + 1)*(2*x + 1)
Let l be ((-6)/(-15))/(445/(-75) + 7). Let l*c + 1/4 + 0*c**2 - 1/8*c**3 = 0. What is c?
-1, 2
Let t = -4484/105 + 214/5. Let q(r) be the second derivative of 0*r**2 - r + t*r**3 + 0 + 1/42*r**4 - 1/70*r**5. Factor q(s).
-2*s*(s - 2)*(s + 1)/7
Let p(u) be the first derivative of 7*u**4/8 - u**3/3 - 7*u**2/4 + u + 9. Suppose p(s) = 0. Calculate s.
-1, 2/7, 1
Let z(q) = q. Let p be z(3). Factor -12*l - 24*l**2 + 12*l**3 - 9*l**p + 12*l**3.
3*l*(l - 2)*(5*l + 2)
Suppose 10 = -4*w + 2. Let a(z) = -z. Let d be a(w). Let 1 + 9*r**d - 5*r - 2*r**3 - r**3 - 2*r**2 = 0. Calculate r.
1/3, 1
Let b = -7 - -10. Let u be (35/10 + -4)*-4. Factor 1 + 3*z + 0*z**3 - u*z**3 + 3*z**2 + b*z**3.
(z + 1)**3
Let p(w) be the third derivative of w**5/12 - 5*w**4/12 - 5*w**3/2 + 8*w**2. Find n, given that p(n) = 0.
-1, 3
Let c(d) be the third derivative of d**6/600 - d**4/120 - 4*d**2. Suppose c(b) = 0. What is b?
-1, 0, 1
Let k(p) = -p + 12. Let w be k(9). Find h, given that -2/5*h**2 - 1/5 + 3/5*h - 1/5*h**5 - 2/5*h**w + 3/5*h**4 = 0.
-1, 1
Let d(p) be the third derivative of 0*p + 1/50*p**6 - 1/10*p**4 - 3/5*p**3 + 1/525*p**7 + 4/75*p**5 + 0 + 9*p**2. Factor d(z).
2*(z - 1)*(z + 1)*(z + 3)**2/5
Factor -3/4*z**2 - 1/4*z**4 + 0 - 1/4*z - 3/4*z**3.
-z*(z + 1)**3/4
Let f(q) be the third derivative of q**5/270 - q**4/54 + q**3/27 + 8*q**2. Factor f(b).
2*(b - 1)**2/9
Let q(s) be the third derivative of 0 - 1/90*s**6 + 1/30*s**5 - 2*s**2 + 1/630*s**7 - 1/18*s**4 + 1/18*s**3 + 0*s. Factor q(w).
(w - 1)**4/3
Let w(m) be the first derivative of -m**4 + 4*m**3 - 16*m + 15. Let w(y) = 0. Calculate y.
-1, 2
Let d(b) = b**2 + 7*b + 4. Suppose 0*z = 4*z - 24. Let r(p) = -6 + p + z. Let m(s) = d(s) - 3*r(s). Factor m(t).
(t + 2)**2
Let i(t) = t**2 - t - 6. Suppose u - 4 = -p + 3*u, 3*p = -4*u - 18. Let k be i(p). Find y such that k*y**2 + 2/9*y - 2/9*y**3 + 0 = 0.
-1, 0, 1
Let x be -3 + 3 + -1 + 1. Let v = x - 0. Find k such that -2/7*k**2 + v + 2/7*k = 0.
0, 1
Let t(j) = -j**3 + 2*j**2 + 7*j + 6. Let w be t(4). Let f(m) be the first derivative of -1/2*m**w + 0*m - 3/4*m**4 + 2 - m**3 - 1/5*m**5. Factor f(v).
-v*(v + 1)**3
Solve -1/6*l + 1/3*l**2 + 1/3*l**3 - 1/6*l**4 - 1/6 - 1/6*l**5 = 0.
-1, 1
Let z(b) be the first derivative of 3 + 2/15*b**3 - 2/5*b**2 + 2/5*b. Suppose z(h) = 0. What is h?
1
Factor -9*u**3 + 16*u - 3*u - 10*u + 6*u**2.
-3*u*(u - 1)*(3*u + 1)
Let d(h) be the second derivative of 79/60*h**5 + 4/9*h**6 - 4/3*h**2 + 0 + 29/18*h**4 - 2*h + 1/18*h**7 + 2/9*h**3. Determine o, given that d(o) = 0.
-2, -1, 2/7
Let s = 7/27 - -5/189. Let g = 1129/7 - 161. Factor -4/7*y**2 + 0 + s*y + g*y**3.
2*y*(y - 1)**2/7
Let l(t) be the third derivative of -t**7/12600 - t**6/1800 - t**5/600 - t**4/8 + 3*t**2. Let w(c) be the second derivative of l(c). Factor w(i).
-(i + 1)**2/5
Factor 4*r**2 - 2*r - r**2 + 2*r.
3*r**