1. Suppose k + 1 = -s, 0 = -0*s + s + 1. What is the third derivative of -2*r**t + 2*r**2 + k*r**2 + 0*r**3 wrt r?
-12
Let p be (8 - 7) + 0 + 0. Let c be ((-1)/(-3))/(p/9). What is the derivative of c - r + 2 - 6 wrt r?
-1
Let w(y) = y**3 - 24*y**2 + 4*y - 4. Let j(k) = -4*k**3 + 71*k**2 - 11*k + 11. Let u(f) = 4*j(f) + 11*w(f). Find the third derivative of u(z) wrt z.
-30
Let x(q) = q + 2. Let p be x(-2). Find the second derivative of 4*w**3 - 2*w**3 - w + p*w wrt w.
12*w
Let w(y) = 28*y**4 - y + 5. Let a(b) = 28*b**4 - 2*b + 6. Let d(s) = -5*a(s) + 6*w(s). What is the second derivative of d(v) wrt v?
336*v**2
Let x(a) be the second derivative of -a**9/504 + a**5/120 + a**3/6 + 7*a. Let q(s) be the second derivative of x(s). Find the second derivative of q(v) wrt v.
-120*v**3
Let j be (-3 + 9/2)*2. Let n(l) be the first derivative of 0*l**2 + 0*l**4 - 2 + 0*l + 1/5*l**5 + 1/3*l**j. What is the third derivative of n(w) wrt w?
24*w
Let c(l) = 5*l - 3. Let q(v) = v**2 - 6*v + 3. Let i = 3 - 8. Let m(n) = i*q(n) - 6*c(n). Differentiate m(d) with respect to d.
-10*d
Let m(d) = -d**3 + 4*d**2 + 7*d - 7. Let t be m(5). Let i(w) = w + 1. Let h be i(3). What is the derivative of t*v - v - h*v + 1 wrt v?
-2
Let r(f) be the third derivative of 0*f**6 + 0 + 0*f - 1/4*f**4 + 0*f**5 - 6*f**2 + 4/105*f**7 + 0*f**3. Find the second derivative of r(u) wrt u.
96*u**2
Let q(k) = 7*k**3 - 12. Let u(w) = -27*w**3 + 48. Let v(j) = 15*q(j) + 4*u(j). Find the first derivative of v(x) wrt x.
-9*x**2
Let s(q) be the first derivative of q**5 - 5*q**2/2 - 2. Find the second derivative of s(p) wrt p.
60*p**2
Let n(y) = -20*y**3 - 8. Let w(z) = -21*z**3 - 9. Let o(k) = 5*n(k) - 4*w(k). What is the derivative of o(d) wrt d?
-48*d**2
Let a(s) = 20*s - 69. Let g(v) = 7*v - 23. Let d(n) = 3*a(n) - 8*g(n). Find the first derivative of d(h) wrt h.
4
Let m be (-18)/(-12) + (-10)/(-4). Differentiate 1 - 3 + c**m + 2 - 2 with respect to c.
4*c**3
Suppose 3*p + 16 = 2*w, w = 4*p - 3 + 21. Find the second derivative of -24*o - 1 + 4*o**w + 1 + 23*o wrt o.
8
Let h(l) be the third derivative of -l**8/112 + l**4/3 + 4*l**2. Find the second derivative of h(n) wrt n.
-60*n**3
Suppose -5*w = -7*w + 8. Let j be 3/4*(-4 - w). Let h(u) = 2*u**2 + 4. Let p(d) = -2*d**2 - 4. Let v(l) = j*p(l) - 7*h(l). What is the derivative of v(x) wrt x?
-4*x
Let l(x) = 50*x**3 + 36*x**2 + 7*x. Let v(r) = -25*r**3 - 18*r**2 - 4*r. Let o(p) = -4*l(p) - 7*v(p). What is the third derivative of o(f) wrt f?
-150
Let a(w) be the second derivative of -1/6*w**4 + 3/2*w**2 - 5*w + 0 + 0*w**3. Find the first derivative of a(f) wrt f.
-4*f
Suppose -a = 4*t - 2*a - 16, -3*a - 12 = 0. What is the first derivative of -t*l**2 - 1 + 3 + 4*l**2 - 4 wrt l?
2*l
Let i(y) = y**2 + 9*y + 10. Let b be i(-8). Suppose 4*u - 13 = -5*g + 5*u, 6 = -2*u. What is the third derivative of -a**g + 0*a**4 - 2*a**b - 3*a**4 wrt a?
-72*a
Let s(m) be the third derivative of 5*m**5/4 + 31*m**3/3 - 2*m**2 - 2*m. Find the first derivative of s(q) wrt q.
150*q
Let k be ((-6)/5)/(2/10). Let w(q) = -q**2 - 7*q - 6. Let i be w(k). What is the third derivative of -s**2 - 2*s**3 + i*s**3 - s**2 wrt s?
-12
Let o(c) be the second derivative of 0*c**3 + 1/3*c**4 + 5*c + 0*c**5 + 0*c**6 + 0*c**7 + 0 + 0*c**2 - 1/56*c**8. Find the third derivative of o(x) wrt x.
-120*x**3
Let w(r) = r**4 - 2*r**2 + 2*r + 1. Let b(n) = n**4 + n**2 - n. Let u(p) = -2*b(p) - w(p). Find the first derivative of u(d) wrt d.
-12*d**3
Let t = 41/2 + -20. Let o(r) be the first derivative of -t*r**4 + 1 + r**2 + 0*r + 0*r**3. What is the second derivative of o(c) wrt c?
-12*c
Let m(a) = -a**3 - a**2 + 3. Let u be m(0). Find the first derivative of -5 - 8*j**3 + 4 + 7*j**u wrt j.
-3*j**2
Let l(b) = b + 8. Let n be l(-6). Let m be -2 + 4 - (-2 - -2). Find the third derivative of -6*p**2 - m*p**n + 4*p**2 - 4*p**5 wrt p.
-240*p**2
Differentiate -5*r + r + 2*r - 6 + 4*r with respect to r.
2
Let r(p) = p**3. Let i(j) = 4*j**4 - 4*j**3 - 2. Suppose -2*o + o = d - 4, -o + 5 = 0. Let g(z) = d*i(z) - 4*r(z). Differentiate g(b) with respect to b.
-16*b**3
What is the second derivative of -14*f**5 + 4*f - 345*f**2 + 345*f**2 wrt f?
-280*f**3
What is the third derivative of -v**3 + 13*v**2 + 0*v**3 - 9*v**2 wrt v?
-6
Let s(w) be the second derivative of 1/14*w**7 - 1/6*w**4 + 0 + 0*w**3 + 0*w**2 - 2*w + 0*w**5 + 0*w**6. Find the third derivative of s(i) wrt i.
180*i**2
What is the second derivative of 3*q**3 + 2*q + 271*q**4 - 4 - 305*q**4 - 3*q**3 wrt q?
-408*q**2
Suppose 3*o + 5*d + 3 = 2*d, d - 2 = -4*o. Differentiate -o - 4 + 7 - 12 - 3*j**3 wrt j.
-9*j**2
Suppose 2*b + 3 = 13. Suppose -s - 8 = -b*s. What is the second derivative of o**2 + s*o + o - 4*o wrt o?
2
Let t(d) = -d + 1 + 2*d - 4*d. Let r be t(-1). Find the third derivative of 3*c**2 - r*c**2 + 2*c**6 + 0*c**6 - c**6 wrt c.
120*c**3
Let c = 0 + -3. Let z = c - -7. What is the second derivative of -z*t**5 + t**5 + 0*t**2 + t + 0*t**2 wrt t?
-60*t**3
Let k(w) = -75*w**3 + 2*w - 5. Let f(c) = 113*c**3 - 3*c + 7. Let h(j) = 5*f(j) + 7*k(j). What is the second derivative of h(v) wrt v?
240*v
Let d be (-2 - -2)/(-1*2). Suppose d = -z + y - 5*y - 6, 0 = -4*z + 3*y + 33. What is the derivative of z - 4 + 1 + 3*j**2 wrt j?
6*j
Let i(s) be the first derivative of 0*s**5 - 5/2*s**2 + 0*s**4 + 0*s - 1/2*s**6 + 0*s**3 + 6. What is the second derivative of i(w) wrt w?
-60*w**3
Let t(j) = j**3 + 6*j**2 - j - 4. Let m be t(-6). What is the second derivative of 23*s**2 - m*s + s**5 - 4*s**5 - 23*s**2 wrt s?
-60*s**3
Let g be (-28)/8 - (-3)/(-2). Let u(r) = 1. Let q(p) = 4 - 1 + 3*p**2 - 4*p**2. Let d(y) = g*u(y) + q(y). Differentiate d(z) with respect to z.
-2*z
What is the third derivative of -3*v**2 + 2*v**5 - v**5 + 4*v**2 wrt v?
60*v**2
Let h(z) = 9*z**4 + 3*z**3 - 3*z**2 + z. Let s(y) = -10*y**4 - 4*y**3 + 4*y**2 - y. Let m(d) = 4*h(d) + 3*s(d). What is the second derivative of m(k) wrt k?
72*k**2
What is the second derivative of -11*j**5 + 7*j**2 + 0*j**2 - 18*j - 7*j**2 wrt j?
-220*j**3
Let p(o) be the second derivative of -o**9/1008 - o**5/120 + o**3/3 - 2*o. Let m(f) be the second derivative of p(f). Find the second derivative of m(z) wrt z.
-60*z**3
Let y(s) be the second derivative of s**8/840 + s**4/24 - 5*s**3/6 + 3*s. Let c(t) be the second derivative of y(t). Differentiate c(d) wrt d.
8*d**3
Suppose 0 = -3*i - g + 4*g + 12, 2*i + 2*g - 12 = 0. What is the second derivative of -4*w + 2*w**4 - w**4 + w + i*w wrt w?
12*w**2
Let c(r) = -63*r**3 + 30*r**2 - 17. Let p(v) = 21*v**3 - 10*v**2 + 6. Let t(h) = -6*c(h) - 17*p(h). Find the third derivative of t(i) wrt i.
126
Let q(f) be the second derivative of 1/12*f**4 + 0*f**5 - 1/6*f**6 + 3*f + 0*f**2 + 0*f**3 + 0. What is the third derivative of q(j) wrt j?
-120*j
Let n(x) be the third derivative of x**7/42 - 13*x**3/6 + 13*x**2. Differentiate n(j) with respect to j.
20*j**3
Suppose 2*q - 4*q = -8. Find the third derivative of -t**6 + 11*t**2 - q*t**2 + 3*t**2 wrt t.
-120*t**3
Let c(z) = -z - 11. Let j be c(-7). Let a = j + 7. Differentiate -3 - 3 - m + 5 - a*m wrt m.
-4
Find the third derivative of 57*t - 57*t - 2*t**2 - 10*t**6 wrt t.
-1200*t**3
Suppose 0 = 2*w - 3*w + 4. Suppose 2*x = -10, 2*x = w*n - 2*x - 32. Find the second derivative of -2 - 2*p + 2*p**n + 2 wrt p.
12*p
Let c(r) = r**2 + 2*r + 9. Let t(o) = -8*o - 2*o**2 + o + 3*o**2 - 3*o**2 - 27. Let k(g) = 7*c(g) + 2*t(g). What is the derivative of k(j) wrt j?
6*j
Let z(l) be the third derivative of -l**7/70 - 2*l**3 + 7*l**2. Differentiate z(v) with respect to v.
-12*v**3
Let w be -5*1*2/(-5). What is the second derivative of t + 3*t + w*t**3 - 2*t - 4*t**3 wrt t?
-12*t
Let p(t) = -t**3 - 7*t**2 + 7*t + 7. Let q(f) = -4*f**2 + 3*f + 3. Let v(o) = 3*p(o) - 7*q(o). Find the third derivative of v(w) wrt w.
-18
Let i(s) = -46*s + 1. Let r(w) = 23*w. Let c(m) = 6*i(m) + 11*r(m). Find the first derivative of c(t) wrt t.
-23
Find the second derivative of -33*i**3 + 6*i + 19*i**3 + 11*i**3 wrt i.
-18*i
Let x = -7 - -11. What is the second derivative of 0*p**4 + 3*p**4 + 3*p**4 + p - 5*p**x wrt p?
12*p**2
Let z(l) be the second derivative of -l**6/6 + l**3/2 + 15*l. What is the second derivative of z(p) wrt p?
-60*p**2
Let q(z) be the