t is the second derivative of r(y) wrt y?
36*y**2 + 6*y
Let k(r) = 3*r**2 - r - 1. Let f be k(-2). What is the third derivative of -f*m**3 + 8*m**3 - 3*m**2 - 5*m**2 wrt m?
-30
What is the second derivative of 24*z**5 + 33*z**2 - 63*z**2 + 30*z**2 + 8*z wrt z?
480*z**3
What is the third derivative of -18*z**2 + 35*z + 28*z**3 - 35*z wrt z?
168
Suppose 39 = 5*n + 4*l - 2*l, 0 = n - 2*l - 3. Let m = 10 - n. What is the second derivative of -5*o + 3*o + 5*o**m - 3*o**3 wrt o?
12*o
Let f(r) be the second derivative of r**5/5 - r**4/6 + 5*r. What is the third derivative of f(x) wrt x?
24
Let k(p) be the second derivative of -16*p**3/3 - 11*p**2 + 17*p. What is the derivative of k(h) wrt h?
-32
Let z = 11 + -8. Differentiate -2 + z + s + 2 - 2*s with respect to s.
-1
What is the third derivative of 18*v**2 - 2*v**6 - 16*v**3 + 42*v**3 + 20*v**3 - 6*v**2 wrt v?
-240*v**3 + 276
Let q(d) = -9*d**3 + 4*d - 1. Let u(x) = 9*x**3 - 3*x + 2. Let i(t) = 3*q(t) + 4*u(t). Find the first derivative of i(y) wrt y.
27*y**2
Let c(r) be the third derivative of 0*r**6 + 0 + 1/35*r**7 + 0*r**3 + 0*r**4 + 0*r - 1/60*r**5 + 3*r**2. What is the third derivative of c(s) wrt s?
144*s
Suppose 3*f - 5*a = -2 + 8, -5*f + 2*a + 29 = 0. Suppose 0 = -t + f. Find the second derivative of h + t*h**5 - 10*h**5 + h wrt h.
-60*h**3
Let w = 5 + -2. Find the third derivative of 3*t**2 - 3*t**3 + t + t**w - t wrt t.
-12
Let j(o) be the second derivative of -5*o**3/2 + 10*o**2 - 16*o. What is the first derivative of j(k) wrt k?
-15
Let y(f) be the first derivative of -f**6 - 3*f**2/2 - 4. What is the second derivative of y(p) wrt p?
-120*p**3
Let z = 4 - 2. What is the second derivative of -2*c**4 - 2*c**4 + 0*c**z + c + 0*c**2 wrt c?
-48*c**2
Suppose 7 = -4*z - 5*h, -5*z - 2*h - 2 = 2*h. What is the first derivative of -5*n**z - 20*n + 1 + 20*n wrt n?
-10*n
Let h(s) = s - 1. Let r(o) = -13*o - 19. Let x(u) = 4*h(u) + r(u). Let y(l) = 3*l + 8. Let i(k) = -4*x(k) - 11*y(k). What is the derivative of i(f) wrt f?
3
Find the second derivative of -3*f + 8*f**3 + 4*f - 3*f**3 + f wrt f.
30*f
Find the first derivative of 61 - 19*k**3 - 65 - 10*k**3 wrt k.
-87*k**2
Let a(c) = 5*c**2 + 2*c - 1. Let b be a(1). What is the third derivative of 0*n**6 + 3*n**6 + n**2 - 5*n**b wrt n?
-240*n**3
Let i(v) = -9*v**3 - 8*v**2 + 4*v + 4. Let p(z) = 18*z**3 + 16*z**2 - 9*z - 9. Let s(a) = -9*i(a) - 4*p(a). What is the third derivative of s(c) wrt c?
54
Let r be 4/(-18) - (-112)/18. Differentiate 10 - q - r + 2*q wrt q.
1
Let b(c) be the third derivative of -1/105*c**7 + 0*c - 1/6*c**3 + 0*c**6 + 0 + 3*c**2 + 0*c**5 + 0*c**4. What is the first derivative of b(p) wrt p?
-8*p**3
Let f = -41 + 45. Let c(r) be the third derivative of 0*r + 0 + 1/3*r**3 + 0*r**f + r**2 - 1/30*r**5. Find the first derivative of c(s) wrt s.
-4*s
Let c(h) = -36*h**2 + 7*h + 8. Let i(t) = 18*t**2 - 4*t - 4. Let r(o) = -4*c(o) - 7*i(o). Differentiate r(w) wrt w.
36*w
Let c(g) be the first derivative of -g**4/2 - 3*g**2/2 + 3. What is the second derivative of c(n) wrt n?
-12*n
Let n(w) = -18*w**2 + 7*w - 3. Let v(d) = -17*d**2 + 6*d - 4. Let a(x) = -4*n(x) + 3*v(x). What is the second derivative of a(b) wrt b?
42
Find the second derivative of -41*x**4 - 69*x**4 + 154*x**4 + 21*x wrt x.
528*x**2
Let b be (2/4)/(3/18). What is the derivative of -8*s**2 + b*s**2 + 2*s**2 - 3 + 0 wrt s?
-6*s
Let s be (-6)/12*-10*1. Let d(o) = -5*o**3 + 5. Let b(q) = -9*q**3 + 9. Let j(l) = s*d(l) - 3*b(l). Differentiate j(g) wrt g.
6*g**2
Let v(h) be the first derivative of h**8/840 + 5*h**4/24 + 2*h**3 + 1. Let y(n) be the third derivative of v(n). Differentiate y(b) wrt b.
8*b**3
Let b = -4 + 5. Let g(x) be the first derivative of -2*x - b + 1/2*x**2. Differentiate g(i) wrt i.
1
Let v(l) = 4*l - 9. Let z(d) = 5*d - 10. Let i(h) = -4*v(h) + 3*z(h). What is the derivative of i(s) wrt s?
-1
Let p(m) be the third derivative of m**5/60 + 2*m**3/3 + 2*m**2. What is the first derivative of p(i) wrt i?
2*i
Suppose 2 - 10 = -4*f. Find the second derivative of -3*c - c**4 + f*c + 3*c**4 wrt c.
24*c**2
Let v(j) be the third derivative of -1/10*j**5 + 0*j**3 + 0 + 0*j + 6*j**2 - 1/12*j**4. Find the second derivative of v(i) wrt i.
-12
Let k(f) = -f**2 - 10*f - 3. Let w be k(-9). Differentiate -w + 2 + 0 - 2*l wrt l.
-2
Let d(v) be the third derivative of v**5/30 - 9*v**4/8 + 17*v**3/6 - v**2 - 21*v. What is the derivative of d(y) wrt y?
4*y - 27
Let n(m) be the first derivative of m**7/140 + 7*m**4/24 - 10*m**3/3 - 1. Let r(w) be the third derivative of n(w). Differentiate r(p) wrt p.
18*p**2
What is the second derivative of 13*s**5 + 13*s**5 - 4*s - 5*s + 0*s**5 wrt s?
520*s**3
Let k(f) be the third derivative of -f**5/12 - f**3 + 18*f**2. Differentiate k(v) with respect to v.
-10*v
Let t(g) be the second derivative of -g**4 - 21*g**2 - g - 3. What is the first derivative of t(f) wrt f?
-24*f
Let a(l) be the second derivative of 22*l**7/21 + 2*l**4/3 + 44*l. What is the third derivative of a(h) wrt h?
2640*h**2
Let x(t) be the first derivative of 2*t**6 + 17*t**3/3 - 2. Find the third derivative of x(a) wrt a.
720*a**2
Let r(j) be the second derivative of -j**6/30 + 7*j**4/12 + 10*j. What is the third derivative of r(b) wrt b?
-24*b
Let m be (-8 + 6)/(2/(-4)). What is the third derivative of 5*i**3 + 0*i**2 + 27*i - 27*i - m*i**2 wrt i?
30
Let a(y) = 21*y**4 - 5*y**3 - 3*y + 5. Let g(z) = -10*z**4 + 2*z**3 + z - 2. Let q(n) = 2*a(n) + 5*g(n). What is the second derivative of q(s) wrt s?
-96*s**2
Let v(o) = 4*o - 1. Let d be (-22)/(-6) - 6/(-18). Let j(l) = 2*l - d*l + 0*l + l. Let p(y) = -15*j(y) - 3*v(y). Differentiate p(c) with respect to c.
3
Let l(w) be the second derivative of 7*w + 0 + 0*w**5 - 1/6*w**4 + 0*w**2 + 0*w**6 + 0*w**3 - 1/6*w**7. Find the third derivative of l(r) wrt r.
-420*r**2
What is the second derivative of 50*b + 5*b**3 + 5*b**2 - 5*b**2 + 40*b**3 wrt b?
270*b
Let n(y) = y**2 + 1. Let r be n(-2). Suppose d + 10 = w - d, 0 = 5*w - r*d - 30. What is the first derivative of -2 + 0*a**4 - 3*a**4 + w*a**4 wrt a?
-4*a**3
Suppose 18 - 8 = v. Find the second derivative of 2*m**4 - v*m**4 + 71*m - 75*m wrt m.
-96*m**2
Suppose u + 3*u - 8 = 0. What is the third derivative of 2*z**u - 4*z**2 - z**5 + 3*z - 3*z wrt z?
-60*z**2
Let z(d) = -10*d**4 + 2*d**2 - 7*d + 2. Let i(t) = -40*t**4 + 9*t**2 - 29*t + 9. Let s(l) = 2*i(l) - 9*z(l). What is the second derivative of s(j) wrt j?
120*j**2
Suppose 4*f - 11 = -3. What is the third derivative of -5*t**2 - 2*t**f - 47*t**4 + 52*t**4 wrt t?
120*t
Let u(r) = r**3 + r**2 - 3*r + 1. Let w be u(2). Suppose 4*q - 5 = w. Differentiate 0*g - 2 + 2 - q*g + 2 wrt g.
-3
Let b(p) be the third derivative of -p**4 - 17*p**3/6 - 18*p**2. Differentiate b(r) with respect to r.
-24
Find the second derivative of 4 + 2*n**3 - 92*n - 15*n**5 + 90*n + n**5 wrt n.
-280*n**3 + 12*n
Let u(g) = -g**4 + g**3 + g**2 - 1. Let m(c) = 5*c**4 - 6*c**3 + 2*c**2 + 6. Let l(i) = m(i) + 6*u(i). Find the third derivative of l(p) wrt p.
-24*p
Let a(n) be the first derivative of -n**4 + 3 + 2*n**4 + 2*n**2 + 0*n**4. What is the second derivative of a(u) wrt u?
24*u
Let a(j) be the second derivative of -7*j**3/2 - 5*j**2/2 - 20*j. Find the first derivative of a(t) wrt t.
-21
What is the third derivative of b**4 - 7*b**2 - 3*b**4 + b**2 wrt b?
-48*b
Let l = 9 + -3. Find the third derivative of -l*f + 4*f**2 + 6*f - 3*f**3 + 4*f**3 wrt f.
6
Suppose 5*d = -5 + 15. Find the first derivative of 2*i + 0*i - 2 - 3*i**4 - d*i wrt i.
-12*i**3
Let u(a) be the first derivative of 0*a - 7/6*a**6 + 0*a**4 - 4*a**2 + 0*a**5 + 9 + 0*a**3. Find the second derivative of u(b) wrt b.
-140*b**3
Let b(c) = c - 1. Let m(x) = -10*x - 12. Let q(l) = -b(l) + m(l). What is the derivative of q(i) wrt i?
-11
Let i(v) = -3*v + 2. Let m be i(-1). Differentiate -m*o + 2 + 0 - 3 with respect to o.
-5
Let c(m) = m + 4. Let h be c(0). Suppose -2*z - 14 + 0 = -5*o, -z = -4*o + 13. Differentiate 0 + z - 8*l**4 + 9*l**h wrt l.
4*l**3
Let p(w) be the third derivative of -2*w**7/105 + 5*w**3/6 - 6*w**2. What is the derivative of p(a) wrt a?
-16*a**3
Suppose -2*t + 25 = 19. Let l(p) be the third derivative of 0*p + 0 - t*p**2 - 1/3*p**3 - 1/8*p**4. Differentiate l(w) with respect to