rt i?
3*i**2
Let y be -2 - (-3)/(9/15). Let f(q) be the second derivative of 1/4*q**4 + 0*q**3 - y*q + 0 + 3/2*q**2. Differentiate f(v) with respect to v.
6*v
Let d(b) = b**3 - 6*b**2 - 7*b + 2. Let x be d(7). Differentiate -x + 3*k - 2*k + 0 with respect to k.
1
Suppose -5*t + 18 = -2*t. Find the first derivative of t*p + 2 - 3 + 7 wrt p.
6
Let v(t) be the first derivative of 0*t - t**3 + 3 + 3/4*t**4 + 0*t**2. Find the third derivative of v(u) wrt u.
18
Let i(p) = -p**3 - 14*p**2 + p + 15. Let m be i(-14). Differentiate y - 7*y + y - m wrt y.
-5
Let k be ((1 - 3) + 0)*-1. Suppose -4 = k*j - 8. What is the first derivative of -3*x**3 + j*x**2 - 2*x**2 + 0*x**2 - 2 wrt x?
-9*x**2
Let h = -11 + 13. Differentiate -t**3 - 6*t**3 + h*t**3 + 10*t**3 - 5 with respect to t.
15*t**2
Let l(r) = r**2 - 7*r + 2. Let b be l(7). Suppose 3*j = -b*j + 10. What is the third derivative of 3*f**6 + f**j + 2*f**2 - f**2 wrt f?
360*f**3
Let f(y) be the first derivative of y**7/105 - y**5/20 + 3*y**2/2 + 3. Let m(l) be the second derivative of f(l). Find the third derivative of m(w) wrt w.
48*w
Let r = 4 - 1. What is the third derivative of -2*u**2 + 18*u**r - 18*u**3 - u**6 wrt u?
-120*u**3
Suppose 0 = -5*b + 5*n - 10, -2*b + 4*n = 20 - 8. Suppose -b*y + 6 = 14, -12 = -2*k + y. Differentiate -10*w**2 + 2*w**k - 2 + 10*w**2 wrt w.
8*w**3
Let w(r) = r**3 + r**2 - 2. Let y(h) be the second derivative of -3*h**2/2 - 2*h. Let s(t) = -3*w(t) + 2*y(t). Find the third derivative of s(z) wrt z.
-18
Let l(r) = 59*r**2 + 3*r + 32. Let h(u) = u + 1. Let i(n) = -3*h(n) + l(n). What is the first derivative of i(q) wrt q?
118*q
Let m(k) be the second derivative of k**4/12 + 3*k**2/2 + 3*k. Let s be m(0). Find the second derivative of -8*z**2 - z**s + 8*z**2 - 2*z wrt z.
-6*z
Let w = -14 - -23. Let l(o) = 6*o**2 + 2*o - 4. Let a(n) = 25*n**2 + 9*n - 16. Let j(y) = w*l(y) - 2*a(y). Find the first derivative of j(b) wrt b.
8*b
Suppose 0 = 4*x - o - 3 - 3, -4*x + 4 = -2*o. What is the third derivative of a**3 + a**3 + 0*a**x - 2*a**2 wrt a?
12
Let x(b) be the first derivative of b**2 + 0*b + 0*b**4 - 2/3*b**6 + 0*b**5 + 0*b**3 - 3. What is the second derivative of x(g) wrt g?
-80*g**3
Let d(i) be the second derivative of i**7/120 + i**5/15 - i**3 + 9*i. Let t(p) be the second derivative of d(p). What is the second derivative of t(z) wrt z?
42*z
What is the derivative of -11*m**4 - 1 - 2 + 0 - 6 wrt m?
-44*m**3
Let a(g) = -g**2 - 8*g + 2. Let k(c) = 15*c**2 + 129*c - 33. Let i(z) = -33*a(z) - 2*k(z). What is the second derivative of i(l) wrt l?
6
Let r(s) be the third derivative of 0*s**4 + 0*s**3 + 3*s**2 + 0 + 0*s**6 - 1/30*s**5 + 1/70*s**7 + 0*s. What is the third derivative of r(q) wrt q?
72*q
Suppose 3*h - 3 = d, -4*h + 4 - 7 = d. Suppose -i = -h*i - 2. Find the second derivative of -o + o + 3*o**4 + i*o wrt o.
36*o**2
Suppose 13 = h - 3*q - 5, 0 = 5*q + 25. Suppose -h*u + 8*u = 10. Find the first derivative of -2*k**3 + 4*k**4 - 1 + 0*k**3 + u*k**3 wrt k.
16*k**3
What is the second derivative of -4*c + 9*c**4 - c**4 - 5*c + 0*c wrt c?
96*c**2
Suppose u = -0*u. Find the first derivative of u - 1 - 2*i**2 + 2 + 4*i**2 wrt i.
4*i
Let t be 3/(-6)*(-1 + 1). Let m(h) be the second derivative of t*h**4 + 0*h**3 + h + 1/30*h**6 - h**2 + 0*h**5 + 0. What is the derivative of m(j) wrt j?
4*j**3
Suppose y - 4 = s + 3*y, 0 = -3*s + 4*y + 18. Differentiate -3 - 5*i + 1 + s + 1 wrt i.
-5
Let t be (-6)/3 + (1 - 5). Let r be (4/t)/(4/(-30)). What is the third derivative of -2*c**2 + 5*c**r - 2*c**5 - c**5 wrt c?
120*c**2
Let m(h) be the first derivative of -15*h**7/7 + 22*h**3/3 - 1. Find the third derivative of m(v) wrt v.
-1800*v**3
What is the third derivative of -4*r**3 - 2*r**3 - 17*r**2 + 17*r**3 + 4*r**2 wrt r?
66
Differentiate 6 + 3*b**3 - 9 + 1 with respect to b.
9*b**2
Let y(b) = -4*b**4 + 3*b**2 - 3*b - 10. Let s(t) = -7*t**4 + 5*t**2 - 5*t - 21. Let f(w) = 6*s(w) - 10*y(w). Find the first derivative of f(c) wrt c.
-8*c**3
Suppose j + 9 = 4*j. Differentiate -j*r + 2 + 0*r + r wrt r.
-2
Let i(l) be the second derivative of 2*l**6/15 - 4*l**3/3 + 31*l. Find the second derivative of i(o) wrt o.
48*o**2
Let z = -17 + 23. Find the third derivative of 5*c**z + 2*c**2 - 2*c**6 - 4*c**2 wrt c.
360*c**3
What is the second derivative of 7*h + 2*h - 6*h + 6*h**3 wrt h?
36*h
Let p(r) be the second derivative of -5*r**3/6 - 2*r**2 - r. Differentiate p(f) wrt f.
-5
Suppose 3*r + s - 32 = 2*s, 5*r - 4*s - 58 = 0. Let p be (-525)/(-49) + (-2)/(-7). Differentiate r + 0*h**2 - 2*h**2 - p with respect to h.
-4*h
Let d(z) = 42*z**2 - 9*z - 2. Let l(q) = -41*q**2 + 8*q + 3. Let h(b) = 3*d(b) + 2*l(b). Find the second derivative of h(y) wrt y.
88
Differentiate -4 + 4*l**4 - 13*l**4 + 3*l**4 + 2*l**4 wrt l.
-16*l**3
What is the derivative of 8*i**4 + 9 - 8 - 21*i**4 - 5 wrt i?
-52*i**3
Let w be 0 + -2 + (1 - -1). Let n be -1 - (w + -9)/3. What is the third derivative of 3*f**n - 6*f**2 + 5*f**2 - 2*f**4 wrt f?
-48*f
Find the first derivative of 2 + 2 + 9*v**2 - 1 wrt v.
18*v
Let v(u) = 6*u**4 - 4*u**3 + 14*u**2. Let b(f) = f**3 - f**2. Let h(z) = 4*b(z) + v(z). Find the third derivative of h(y) wrt y.
144*y
Let v(z) = -z. Suppose 1 = 3*y - 14. Let g(j) = -2*j + 1. Let b(t) = y*v(t) - 4*g(t). Differentiate b(n) wrt n.
3
Let i(f) be the third derivative of f**5/4 + 5*f**4/8 - 9*f**2. Find the second derivative of i(u) wrt u.
30
Let f(i) be the third derivative of -i**5/60 - i**4/12 - 3*i**2. Find the second derivative of f(s) wrt s.
-2
Let t(p) = -p**2 + 3*p. Let d be t(3). Let m(h) = h**3 - 4*h**2 - h - 16. Let l be m(5). What is the second derivative of 3*c**l - 3*c + d*c - 6*c**4 wrt c?
-36*c**2
Let k be ((-2)/8)/(4/(-16)). Let f = k + 5. What is the derivative of -1 + p - 5*p - 2 + f*p wrt p?
2
Let f(x) be the second derivative of 2*x**4/3 - 2*x**3/3 - 4*x. Find the second derivative of f(k) wrt k.
16
Let t(b) be the third derivative of -b**6/20 + b**3/6 - 6*b**2. Differentiate t(c) with respect to c.
-18*c**2
Let h(v) be the third derivative of -v**9/504 - v**5/6 + 8*v**2. Find the third derivative of h(k) wrt k.
-120*k**3
Let n(p) be the third derivative of -p**4/8 - p**3/3 + 2*p**2. What is the derivative of n(i) wrt i?
-3
Let z(h) = 16*h**3 + 8. Let s(n) = 15*n**3 + 7. Let b(o) = -5*s(o) + 4*z(o). Differentiate b(a) with respect to a.
-33*a**2
Let x be (-32)/(-20)*(-10)/(-4). Suppose -1 = 5*r - d, -x*d = 4*r + r - 4. Find the third derivative of r*q**2 + 2*q**5 + 2*q**2 + 0*q**5 wrt q.
120*q**2
Let l(a) = -a**2 + 9*a + 2. Let y be l(9). Find the second derivative of -8*k**y + 5*k + 8*k**2 - k**5 wrt k.
-20*k**3
Let r(m) = -5*m**4 - 11*m**2 - 17*m + 11. Let n(b) = 2*b**4 + 4*b**2 + 6*b - 4. Let v(i) = 11*n(i) + 4*r(i). What is the second derivative of v(s) wrt s?
24*s**2
Let s = 12 + -9. Find the third derivative of -3*h**3 + s*h**3 - h**6 + 3*h**2 + 3*h**6 wrt h.
240*h**3
Let u(r) be the third derivative of r**6/15 + r**5/12 - 4*r**2. Find the third derivative of u(h) wrt h.
48
Suppose 0 = 3*h - 1 - 8. Let v(x) be the first derivative of 0*x**h - 3*x - 2 + 2/5*x**5 + 0*x**2 + 0*x**4. Find the first derivative of v(m) wrt m.
8*m**3
Let r(m) = m + 4. Let n be r(-4). What is the first derivative of 6*b**4 - 3*b**4 + n + 2 wrt b?
12*b**3
Suppose -2*z = -z - 4. Differentiate z - 3 - 2 + 3*q + 3 wrt q.
3
Let s(r) = -5*r**3 + 2*r**2 + 3. Let w(m) = -9*m**3 + 3*m**2 + 5. Let f(t) = -5*s(t) + 3*w(t). What is the third derivative of f(d) wrt d?
-12
Let r(f) be the first derivative of f**6/120 + f**3/6 - 2*f**2 - 8. Let x(o) be the second derivative of r(o). Differentiate x(z) wrt z.
3*z**2
Let w(p) = 5*p**3 + 10*p**2. Let q(d) = d**3. Let h(x) = -2*q(x) + w(x). What is the third derivative of h(j) wrt j?
18
Suppose 2*t + 0 + 2 = 0. Let n be ((-2)/2)/(t/3). What is the third derivative of -3*z**3 - 3*z**5 + z**2 - z**3 + 4*z**n wrt z?
-180*z**2
Let z(v) be the third derivative of 6*v**2 + 0*v + 0*v**6 - 7/6*v**3 - 1/210*v**7 + 0*v**5 + 0 + 0*v**4. What is the derivative of z(n) wrt n?
-4*n**3
Differentiate -8 - 10*r - 8*r + 15*r wrt r.
-3
Let t(w) = 4*w**3 + w**2 - 2*w + 1. Let l be t(1). Find the second derivative of 0*s + s**l + 2*s + 2*s wrt s.
12*s**2
Let c(b) = b**4 - b**2 + 3. Let l(n) = -1. Let t(