p
Let o(p) = 49*p + 90. Let t(s) = -25*s - 45. Let d(n) = -6*o(n) - 13*t(n). Differentiate d(v) wrt v.
31
Let g(d) = 10. Let m(r) = r - 11. Let v(c) = 6*g(c) + 5*m(c). Let b(w) = 0*w - 4 - 2*w - 2*w. Let s(p) = -6*b(p) - 5*v(p). Differentiate s(x) wrt x.
-1
Let d(t) = -17*t - 5. Let k(w) = -33*w - 9. Let s(x) = 11*d(x) - 6*k(x). Differentiate s(l) wrt l.
11
Let l(g) be the first derivative of -2*g**3 - 5*g**2/2 + 6. What is the second derivative of l(j) wrt j?
-12
Let k = 1 - -1. What is the third derivative of n - 3*n**2 - n + n**k + n**3 wrt n?
6
Let g(b) be the second derivative of -b**6/6 + 2*b**4/3 - 6*b. Find the third derivative of g(i) wrt i.
-120*i
What is the first derivative of -16*d**2 - 1 - 3*d**2 + 9 + 10 wrt d?
-38*d
Suppose 4*p + 6*i - 33 = i, -i + 3 = -p. Let z(o) = 2*o - 7. Let x be z(5). What is the third derivative of 2*b**4 + x*b**2 + 4*b**4 - 3*b**4 - p*b**4 wrt b?
24*b
Let w(q) be the first derivative of 0*q**4 + 0*q + 9 - q**3 + 4/5*q**5 + 0*q**2. Find the third derivative of w(y) wrt y.
96*y
Let j(t) = -11*t**3 + 9*t**2 + 5*t. Let x(n) = -21*n**3 + 18*n**2 + 9*n. Let f(q) = -9*j(q) + 5*x(q). Find the third derivative of f(d) wrt d.
-36
Let w = -1 - -7. What is the third derivative of q**w - 10*q**6 + 6*q**2 + 4*q**6 wrt q?
-600*q**3
Let y(i) be the first derivative of 1 - 3/2*i**2 + i. Differentiate y(g) with respect to g.
-3
Suppose -o = -2, -2*o = 4*x - 4*o - 12. Find the third derivative of 2*t**2 - t**2 - 2*t**x - t**4 + 2*t**2 wrt t.
-72*t
Suppose 0 = i, -2*n - 2*n - 12 = -4*i. Let h = 7 + n. Find the second derivative of 2*p - 3*p**h + 0*p**4 - 4*p wrt p.
-36*p**2
Suppose 0*f - 4*f + 37 = 5*u, -3*u = -4*f - 3. Suppose 5*v - 4*h = 9, -4*v - h - f*h = 0. Find the first derivative of 2*z**4 - 1 - z**4 - v wrt z.
4*z**3
What is the third derivative of -5*h**6 - 3*h**2 - 3*h**6 - 4*h**2 - h**2 wrt h?
-960*h**3
Let n(q) = 4*q**2 + 2*q**2 + 1 + 5 - 2 + q**3. Let l be n(-6). Differentiate -j**3 + 0*j**3 + l*j**3 - j**3 + 3 with respect to j.
6*j**2
Let r = -8 - -10. Differentiate -4*c**4 + r*c**4 + 1 - 5 with respect to c.
-8*c**3
Suppose -8 = -a - 0*a. Let n be (9/12)/(2/a). Differentiate 2 - 8*i + 8*i - i**n with respect to i.
-3*i**2
Let i be (-3 - -4)*1*-1. Let r(f) = -f**3 - 2*f**2 - 2*f - 2. Let c(d) = -d**2 + d - 1. Let n(s) = i*r(s) + 2*c(s). Find the second derivative of n(x) wrt x.
6*x
Let n = -3 + 3. Suppose -d + n*d + 1 = 0. What is the derivative of -a**4 + d - 5 + a**2 - a**2 wrt a?
-4*a**3
Let d(r) be the third derivative of -6*r**2 + 0*r**5 + 0*r**3 + 0 - 1/4*r**4 + 1/120*r**6 + 0*r. What is the second derivative of d(y) wrt y?
6*y
Let t(s) = 4*s**3 + 42*s**2. Let j(g) = -g**3 - 14*g**2. Let u(k) = -14*j(k) - 5*t(k). What is the third derivative of u(q) wrt q?
-36
Let o(g) be the first derivative of g**7/210 - g**4/24 - g**2 + 3. Let m(s) be the second derivative of o(s). What is the second derivative of m(v) wrt v?
12*v**2
Let c(k) be the second derivative of k**5/10 + 5*k**2 + 8*k. Differentiate c(q) with respect to q.
6*q**2
Let i(k) be the third derivative of k**8/168 - k**5/12 + 15*k**2. Find the third derivative of i(a) wrt a.
120*a**2
Let f = 152/305 - 6/61. Let n(b) be the first derivative of f*b**5 + 0*b**3 - 2 + 0*b**4 + 0*b**2 - 2*b. What is the first derivative of n(r) wrt r?
8*r**3
What is the third derivative of 6*u**2 - u**2 - 12*u**4 + 2*u**2 + u**2 wrt u?
-288*u
Let h = -8 - -5. Let y = h - -5. Find the third derivative of -3*k**3 + 3*k**3 - k**2 + 4*k**y + 2*k**5 wrt k.
120*k**2
Suppose 0 = -2*u + 4 + 2. Find the second derivative of -t + 2*t**u - t + 0*t**3 wrt t.
12*t
Let t(q) be the third derivative of -13*q**6/120 - q**5/60 + 6*q**2. Find the third derivative of t(w) wrt w.
-78
Let w(g) = g. Let q(d) = -5*d + 7. Let l(j) = q(j) + 6*w(j). Let r be l(-5). What is the derivative of 0*y**2 + y**4 + 2 + 0*y**r wrt y?
4*y**3
Let l(i) = -13*i + 4. Let r(v) = v - 1. Let j(b) = -l(b) - 5*r(b). What is the derivative of j(o) wrt o?
8
What is the second derivative of 10*o**3 + 10*o + 5*o - 2*o**3 + 12*o**3 wrt o?
120*o
Let t(c) be the third derivative of -7*c**5/60 - c**4/3 - 8*c**2. Find the second derivative of t(d) wrt d.
-14
Suppose 39 = 3*h + k, -h + 14 = k + 3. Let t = h - 10. Find the first derivative of -t*c**2 - 2 + 0*c**2 + c**2 wrt c.
-6*c
Find the first derivative of 0*v + 0*v - 4 + v**2 + 11 wrt v.
2*v
Let m(a) = a**3 - a**2. Let f be m(2). Let s(o) = 4*o + 36. Let d be s(-8). What is the second derivative of q + 5*q - 2*q - d*q**f wrt q?
-48*q**2
Let t(p) = -p**3 - 8*p**2 + p + 8. Let o(d) = d**3 + 5*d**2 - 5*d - 2. Let a be o(-6). Let n be t(a). What is the first derivative of -5*v - 2 + n + 4*v wrt v?
-1
What is the third derivative of -9*g**3 + 3*g**3 + 2*g**2 - 3*g**2 - 2*g**2 wrt g?
-36
Let t(p) be the third derivative of -29*p**4/12 - 29*p**3/6 - 48*p**2. What is the derivative of t(k) wrt k?
-58
Let i(z) = z + 1. Let j(q) = -q**3 + q - 1. Let r(f) = -2*i(f) + 2*j(f). Find the first derivative of r(d) wrt d.
-6*d**2
Let w(g) be the second derivative of g**6/10 + 2*g**4/3 + 7*g. What is the third derivative of w(u) wrt u?
72*u
Let r(p) be the first derivative of 2*p**7/21 - p**3 - 4*p - 5. Let o(b) be the first derivative of r(b). Find the second derivative of o(z) wrt z.
80*z**3
Suppose 5*q - 158 = -0*q + m, -2*q - 2*m = -56. Find the first derivative of -q*g - 23*g + 53*g - 1 wrt g.
-1
Let w be -4*3/(-2) - -1. Suppose -3 = 2*r - w. What is the second derivative of -3*g + g**3 + g - r*g**3 wrt g?
-6*g
Let v(r) = r**2 - r - 1. Let l(z) = 11*z**3 + 3*z**2 - 3*z - 7. Let w(b) = l(b) - 3*v(b). Differentiate w(s) wrt s.
33*s**2
Let s(b) = 3*b**4 + 2*b**2 + 2*b - 16. Let u(x) = -x**4 + x**2 + x. Let n(f) = -s(f) + 2*u(f). Differentiate n(l) wrt l.
-20*l**3
Let c(x) = -x + 4. Let n be c(-8). Find the third derivative of n*l**5 + 0*l**2 - 8*l**5 - 2*l**2 wrt l.
240*l**2
Let q(k) = k**3 + 6*k**2 - 5*k - 4. Let v be q(-4). Find the second derivative of -5*a + 48*a**2 - 8*a**5 - v*a**2 wrt a.
-160*a**3
Let n(y) be the first derivative of y**7/14 - y**4/12 + 3*y + 2. Let q(l) be the first derivative of n(l). What is the third derivative of q(k) wrt k?
180*k**2
Find the third derivative of 14*g**5 - 9*g**2 - g**2 + 13*g**2 wrt g.
840*g**2
Suppose -3*o - b = -15, -4*o = o + 5*b - 25. Suppose o*f + 0*f = 15, i - 5*f = -13. Find the third derivative of q**6 - 4*q**i + 5*q**2 - 5*q**6 + 2*q**6 wrt q.
-240*q**3
Suppose 0 - 5 = -5*q. Let x be 2/(-2 + q) + 4. What is the third derivative of v**x + v**4 - 5*v**2 + 0*v**4 wrt v?
24*v
Let s(u) = 9*u**3 - 11*u. Let n(o) be the second derivative of 9*o**5/20 - 5*o**3/3 + o. Let t(x) = -6*n(x) + 5*s(x). Find the second derivative of t(c) wrt c.
-54*c
Let t(n) be the first derivative of 7*n**3/3 - n - 7. What is the first derivative of t(i) wrt i?
14*i
Differentiate -52*j + 29*j + 31*j + 11 wrt j.
8
Find the third derivative of -9*h + 9*h**4 + 21*h**2 + 3*h + 6*h wrt h.
216*h
Let r(l) be the first derivative of 0*l - 2/3*l**3 + 0*l**2 + 2 - 1/4*l**4. Find the third derivative of r(u) wrt u.
-6
Let n(d) be the first derivative of 3*d**4/4 + 7*d**2/2 - 4. Find the second derivative of n(z) wrt z.
18*z
What is the third derivative of 7*l**2 + 62*l**6 - 87*l**6 + 4*l + 0*l - 5*l**2 wrt l?
-3000*l**3
Let d be 32/28*21/6. Differentiate 0*b**3 - 20 - 2*b**d + 0*b**3 + 24 with respect to b.
-8*b**3
Let c(b) be the first derivative of b**7/420 - b**5/60 + b**3/3 - 3. Let l(s) be the third derivative of c(s). Find the second derivative of l(y) wrt y.
12*y
Let z(c) = -6*c + 12. Suppose 5 = -d - 0. Let h(f) = 2*f - 4. Let w(p) = d*z(p) - 16*h(p). Differentiate w(l) with respect to l.
-2
Let j(w) be the first derivative of 0*w**4 + 0*w**2 - 2/3*w**3 - 7 + 8/5*w**5 + 0*w. What is the third derivative of j(c) wrt c?
192*c
Let c be (8/(-6))/((-2)/(-9)). Let p be ((-10)/15)/(2/c). What is the third derivative of -g**5 + 3*g**p - 2*g**2 - 2*g**2 wrt g?
-60*g**2
What is the third derivative of -8*s**4 + 53*s**2 - 100*s**2 + 48*s**2 wrt s?
-192*s
Let t(r) = 10*r**3 - 3*r**2 - 4. Let d(b) = 91*b**3 - 28*b**2 - 35. Let z(s) = -3*d(s) + 28*t(s). Find the first derivative of z(c) wrt c.
21*c**2
What is the derivative of 27*y**3 - 8*y**3 - 19*y**2 + 19*y**2 - 18 wrt y?
5