*6/120 - r**5/60 - r**4/6 - r. Let g(i) be the third derivative of u(i). Differentiate g(p) wrt p.
6
Let p = 35 - 20. What is the second derivative of 15*o**2 + o**4 - o - p*o**2 wrt o?
12*o**2
What is the second derivative of -1 + 1 - 600*f + 573*f - 16*f**2 wrt f?
-32
Differentiate 20*g - 51*g + 6*g + 13*g + 20 with respect to g.
-12
Differentiate -315*g**3 - 8*g**4 - 29 + 353*g**3 + 6*g**4 wrt g.
-8*g**3 + 114*g**2
Suppose 3*a - 7*a + 8 = 0. Find the second derivative of -3*m - 3*m**2 + a*m + 5*m**2 wrt m.
4
Let c(j) = 13*j + 1. Let p(k) = 20*k + 1. Let x(o) = -7*c(o) + 5*p(o). Let z(w) = 17*w - 3. Let y(i) = -11*x(i) + 6*z(i). Differentiate y(l) wrt l.
3
Let i(w) = w**2 - 3*w. Let g(n) = -n**3 - n - 4. Let q be g(0). Let d(b) = b**2 - 4*b. Let z(u) = q*d(u) + 5*i(u). What is the second derivative of z(a) wrt a?
2
Let y(b) = -b**2 + b. Let m(t) = -4*t**3 - 4*t**2 + 4*t - 1. Let g = 14 - 15. Let u(a) = g*m(a) + 4*y(a). What is the first derivative of u(w) wrt w?
12*w**2
Suppose 0 = 3*r + 5*p - 23, 0 = -4*r + 2*p + 3 + 19. What is the third derivative of -12*f**2 + 0*f**6 + 4*f**r + 8*f**2 wrt f?
480*f**3
Let r(w) be the third derivative of -w**5/20 - w**4/8 - 8*w**2. Find the second derivative of r(n) wrt n.
-6
Let z(w) be the first derivative of 7*w**4/4 + w**2 + 3. What is the second derivative of z(y) wrt y?
42*y
Let z(w) = -122*w**2 - 7*w + 106. Let v(k) = -61*k**2 - 3*k + 53. Let n(s) = -7*v(s) + 3*z(s). Differentiate n(f) with respect to f.
122*f
Suppose -f - 2*q + 6 = 0, -2*q + 10 = 3*f - 0*f. What is the second derivative of 0*u**f - u + u**2 + 0*u + 2*u wrt u?
2
Let r(c) be the first derivative of c**8/112 - 3*c**4/8 + 3*c**2/2 + 6. Let d(k) be the second derivative of r(k). What is the second derivative of d(i) wrt i?
60*i**3
Let g(y) = -6*y**3 - 2. Let s(q) = q**3 + 1. Suppose -4*f + 5 = -3*z + 4*z, -2*f + 7 = -z. Let v(t) = f*s(t) + 2*g(t). Differentiate v(l) wrt l.
-30*l**2
Find the second derivative of -12*s + 28*s + 14*s**4 - 20*s**4 - 2 - 2*s**2 wrt s.
-72*s**2 - 4
Let h(o) = -o**3 - 9*o**2 - 9*o - 6. Let b be h(-8). What is the third derivative of -4*u**2 + u**b + 6 - 6 + u**3 wrt u?
6
What is the third derivative of 36 - 36 - 27*v**2 + 2*v**3 wrt v?
12
Let p = -1/16 + 11/48. Let a(n) be the second derivative of -p*n**4 + 0*n**2 - 3*n + 0 + 1/2*n**3. What is the second derivative of a(s) wrt s?
-4
Let i(c) be the first derivative of 0*c + 0*c**3 + 3/4*c**4 - 4 - 2*c**2. Find the second derivative of i(a) wrt a.
18*a
Suppose -3*i + 6*i + j + 32 = 0, i + 8 = -3*j. Let b = -6 - i. Let w(o) = 5*o - 5. Let z(h) = 6*h - 6. Let g(y) = b*w(y) - 4*z(y). Differentiate g(c) wrt c.
1
Let l(k) be the first derivative of -9/2*k**2 + 0*k + 8/3*k**3 + 2. What is the second derivative of l(c) wrt c?
16
Let s be (-8)/(-3)*12/8. What is the derivative of 4*j**2 + 2*j**s + 3 - 4*j**2 wrt j?
8*j**3
Let y(s) be the third derivative of -s**7/840 - s**6/120 - s**3/3 + s**2. Let b(m) be the first derivative of y(m). Find the third derivative of b(c) wrt c.
-6
Let f(n) = 5*n**2. Let z(w) = 11*w**2 - 1. Let c(y) = -5*f(y) + 3*z(y). What is the first derivative of c(q) wrt q?
16*q
Let z(l) be the second derivative of 6*l + 1/6*l**4 + 0 - 1/6*l**7 + 0*l**5 + 0*l**3 + 0*l**2 + 0*l**6. What is the third derivative of z(h) wrt h?
-420*h**2
Let n be 12/5 + 6/(-15). What is the third derivative of -2*a**3 + 4*a**2 - a**2 - 5*a**n wrt a?
-12
Let l = 2 - 0. Find the third derivative of -2*m**l + 6*m**2 - m**6 - m**2 wrt m.
-120*m**3
Let m(x) be the first derivative of -2*x**5/5 + 4*x**2 + 2. What is the second derivative of m(i) wrt i?
-24*i**2
Find the third derivative of -9*j**2 - j**4 - 18*j**4 - 23*j**4 + 4*j**4 wrt j.
-912*j
Let c(u) be the second derivative of 11*u**3 + 23*u**2/2 - 2*u + 14. What is the first derivative of c(g) wrt g?
66
Let z(o) be the second derivative of -o**8/8 - o**4/2 + 6*o. What is the third derivative of z(d) wrt d?
-840*d**3
Let d = -2 - -4. Suppose 0 = i + d*i - 15. Differentiate 3*j - i + 0 - 1 + 4 wrt j.
3
Let d(c) be the third derivative of c**7/1260 + c**6/144 + c**4/8 - c**2. Let s(m) be the second derivative of d(m). Find the second derivative of s(u) wrt u.
4
Let l(s) be the first derivative of -s**4 - 4*s + 3. Find the first derivative of l(c) wrt c.
-12*c**2
Let o be (0 - 0/1)/2. Find the second derivative of -2*h**4 + 5*h**4 + o*h**4 + h - 4*h**4 wrt h.
-12*h**2
Let r(o) = -o**3 + o**2 + 1. Let x(b) = 79*b**3 - 3*b**2 - 7*b - 6. Let m(p) = 3*r(p) + x(p). What is the second derivative of m(t) wrt t?
456*t
Let h(p) = 3*p + p**3 - p**5 - p**3 - 2*p**3 - 4*p. Let f(w) = 3*w**5 + 5*w**3 + 2*w. Let y(k) = 4*f(k) + 10*h(k). What is the second derivative of y(s) wrt s?
40*s**3
Find the second derivative of -28*s**4 - 30*s**4 + 62*s**4 - 21*s wrt s.
48*s**2
Let j(a) be the second derivative of -a**3 + 0*a**2 + 0*a**4 - 2*a - 4/15*a**6 + 0 + 0*a**5. Find the second derivative of j(q) wrt q.
-96*q**2
Find the second derivative of -9 + 9 + 4*u**3 + u wrt u.
24*u
Let q(l) be the first derivative of -11*l**4/2 + 35*l**2/2 - 39. Find the second derivative of q(s) wrt s.
-132*s
Let o = -1 + 3. Suppose 0 = -2*h - o*h. Differentiate 2 + 3*v**2 + 0 + 0 + h with respect to v.
6*v
Let u(v) be the first derivative of -7*v**4/4 - 33*v**2/2 + 4. What is the second derivative of u(m) wrt m?
-42*m
Find the first derivative of 20 - 678*r - 5 + 673*r wrt r.
-5
Let h(p) be the second derivative of p**6/360 + p**4/6 + 2*p**3/3 + 4*p. Let n(k) be the second derivative of h(k). Differentiate n(t) with respect to t.
2*t
What is the first derivative of 4*l**3 - 2 - 13*l**3 - 2 wrt l?
-27*l**2
Let x = -12 - -14. Let f(t) be the first derivative of 3 + 3/2*t**x + 0*t**3 + 0*t + t**4. Find the second derivative of f(w) wrt w.
24*w
Let q(u) = 2*u + 7. Let o be q(-3). Find the third derivative of -7*a**4 - 4 + 3*a**2 - o + 5 wrt a.
-168*a
Let r(n) = n**3 + n**2 - 2*n + 1. Let b = -5 + 3. Let z be r(b). Differentiate 13*t + z - 13*t + 2*t**3 + 2*t**3 with respect to t.
12*t**2
Let l(v) = 2*v**2 - 2. Let t be l(2). Suppose -i - t = -3*i. What is the second derivative of q**3 - 3*q + q + 0*q**i wrt q?
6*q
Let m be ((-48)/40)/((-2)/5). Differentiate 4*u**3 + 6*u - 6*u + 0*u**3 - m wrt u.
12*u**2
Let u(c) = -27*c**4 + 5*c**3 - 43*c**2 + 5*c. Let m(i) = 14*i**4 - 3*i**3 + 21*i**2 - 3*i. Let h(y) = -5*m(y) - 3*u(y). Find the third derivative of h(a) wrt a.
264*a
Let b(k) be the third derivative of -1/60*k**5 - k**2 + 1/8*k**4 + 0*k**3 + 0*k + 0. What is the second derivative of b(t) wrt t?
-2
Let r(o) = -170*o - 136. Let n(z) = 113*z + 91. Let s(q) = -7*n(q) - 5*r(q). What is the derivative of s(m) wrt m?
59
Suppose 9 = 3*u - 0*u. Find the first derivative of u*g - 1 - 5*g + 3 + 2 wrt g.
-2
Let b(r) = -r**3 - 9*r**2 + 2*r + 9. Let x be b(-9). Let w(n) = n + 9. Let l be w(x). Differentiate -4 + 3 - y**3 + l*y**3 wrt y.
-3*y**2
Let a(s) = -237*s**3 - 213*s**2 + 12*s - 12. Let d(j) = 95*j**3 + 85*j**2 - 5*j + 5. Let f(c) = 5*a(c) + 12*d(c). What is the third derivative of f(l) wrt l?
-270
Let q(h) = -h**6 + h**5 - h**4 - h**2 - 1. Let g(r) = r**6 + r**5 - r**4 + 13*r**2 - 1. Let w(c) = -g(c) + q(c). Find the third derivative of w(m) wrt m.
-240*m**3
Let a(d) = -2. Let n = 19 - 14. Let q(i) = i**2 + 3. Let b(r) = n*a(r) + 6*q(r). Differentiate b(z) with respect to z.
12*z
Differentiate -15*r**4 - 21 - 20 - 20 + 48 wrt r.
-60*r**3
Let m(w) = 4*w**5 - 7*w**3 - 12*w. Let p(j) = 3*j**5 - 6*j**3 - 11*j. Let s(y) = 6*m(y) - 7*p(y). Find the second derivative of s(u) wrt u.
60*u**3
Let k = 1 + 2. Find the third derivative of -5*y**2 - y**3 + 2*y**k + 4*y**2 wrt y.
6
Let t(w) = -3*w - 2. Let v(s) = -10*s - 6. Let n(l) = -21*t(l) + 6*v(l). What is the first derivative of n(u) wrt u?
3
What is the second derivative of -5*a**4 + a**4 + 3*a + 3*a + 0*a wrt a?
-48*a**2
Let j(w) = w**2 - 1. Let i(g) = 9*g**2 + 21. Let o(p) = -i(p) - 3*j(p). Differentiate o(k) wrt k.
-24*k
Let h(f) be the first derivative of 0*f + 0*f**3 - 2/5*f**5 + 0*f**4 - 3 + 3/2*f**2. Find the second derivative of h(y) wrt y.
-24*y**2
Let v(p) = 6*p**4 + 2*p**2 + 3*p + 2. Let y(x) = -23*x**4 - 9*x**2 - 13*x - 9. Let a(k) = 18*v(k) + 4*y(k). What is the second derivative of a(i) wrt i?
192*i**2
Suppose -3*