= p. Find the first derivative of 8 + 4 - 11 - p*j**4 wrt j.
-8*j**3
Let k(p) = -9*p**2 + 5*p + 11. Let v(z) = -5*z**2 + 3*z + 5. Let q(d) = 3*k(d) - 5*v(d). Differentiate q(f) with respect to f.
-4*f
Let p(s) be the first derivative of -17*s**5/5 + 13*s**2 + 36. Find the second derivative of p(c) wrt c.
-204*c**2
Suppose 3*k - 17 = 2*v, 0*k + 2*v + 20 = 4*k. What is the third derivative of -13 + k*i**2 + 2*i**3 + 13 wrt i?
12
Let a(h) be the first derivative of h**6/3 - 17*h**2/2 + 12. What is the second derivative of a(q) wrt q?
40*q**3
Suppose -2*m + 15 = m. Differentiate 11 - 5 - 2*r - m with respect to r.
-2
Let x(l) = l**2 + 8*l + 5. Let q be x(-7). Let i be 1 + q/(-1) - 0. What is the derivative of -4 + 0*n**i + 2 + 3*n**3 - n**3 wrt n?
6*n**2
Suppose 4*w + 3*h + 5 = -2, -5*w - 2*h = 0. What is the derivative of -1 + w*m - m - 1 + 2*m wrt m?
3
What is the second derivative of -4*m**5 - 3*m**5 - 36*m + 43*m wrt m?
-140*m**3
Let k(y) be the second derivative of y**10/1260 - y**6/180 + y**3 - 7*y. Let r(z) be the second derivative of k(z). Find the third derivative of r(f) wrt f.
480*f**3
Let u(l) be the second derivative of l**7/140 - 7*l**6/360 + l**3 + 5*l. Let m(q) be the second derivative of u(q). Find the third derivative of m(z) wrt z.
36
What is the third derivative of 0*f**4 + 14*f**4 - 13*f**2 - 7*f**4 - 2*f**4 wrt f?
120*f
Let c(g) = -g**2 + 11*g - 3. Let t be c(10). Find the third derivative of 2*v**4 + 4*v**2 - t*v**5 + 0*v**2 - 2*v**4 wrt v.
-420*v**2
Let t be 3/(6/(-4)) + 8. Let b(l) = 2*l**3 - 6*l + 1. Let a(g) = -g**3 + 5*g. Let q(x) = t*a(x) + 5*b(x). Differentiate q(k) wrt k.
12*k**2
Let y be 25/(-10)*(-24)/10. Find the second derivative of 6 + 3*w**4 + 2*w - w - y wrt w.
36*w**2
Let m(n) = -5*n. Let r(d) = 4*d + 0 - 3*d + 1. Suppose 2*f + 2 = -0*f. Let q(w) = f*m(w) - 3*r(w). What is the derivative of q(y) wrt y?
2
What is the second derivative of 13*w**5 - 3*w + 41*w**5 - 16*w - 18*w**5 wrt w?
720*w**3
What is the third derivative of 7*l**2 - 4 + 4 + 0 + 6*l**4 wrt l?
144*l
Suppose -7*b + 4*b + 6 = 0. Let a(c) be the third derivative of -2*c**b + 0*c + 1/30*c**5 + 0*c**4 + 0 - 1/6*c**3. Find the first derivative of a(t) wrt t.
4*t
Let b(k) = 9*k**3 - 4*k**2 - 4*k - 7. Let v(h) = 10*h**3 - 5*h**2 - 5*h - 8. Let w(s) = -5*b(s) + 4*v(s). Differentiate w(q) wrt q.
-15*q**2
Let g(s) be the third derivative of s**8/20160 - s**6/144 + s**5/10 + 3*s**2. Let v(p) be the third derivative of g(p). What is the derivative of v(f) wrt f?
2*f
What is the first derivative of 2*g**3 + 2 + 4 - g**3 - 1 wrt g?
3*g**2
Let r be ((-1)/(-2))/((-2)/(-12)). Suppose r*v = -2*v + 10. What is the third derivative of 0*z**2 + z**v + 3*z**3 + 0*z**3 - 4*z**3 wrt z?
-6
Let a(j) = -20*j + 14. Suppose -4*u - 9 - 3 = 0. Let i(w) = 7*w - 5. Let r(f) = u*a(f) - 8*i(f). What is the derivative of r(p) wrt p?
4
Let k(t) be the first derivative of -4*t - 5/2*t**2 - 6. Differentiate k(l) wrt l.
-5
Let u(h) = 16*h**4 + 5*h**2 - 15*h. Let y(a) = 8*a**4 + 3*a**2 - 8*a. Let d(x) = 3*u(x) - 5*y(x). Find the second derivative of d(r) wrt r.
96*r**2
Suppose 25 = -10*r + 5*r. Let s = r + 9. Let y(q) = q + 5. Let i(h) = -h - 6. Let j(d) = s*y(d) + 3*i(d). Differentiate j(k) with respect to k.
1
Let p(a) be the third derivative of a**8/48 + a**5/60 + 7*a**2. Find the third derivative of p(n) wrt n.
420*n**2
Let f(r) = 25*r - 5. Let x(i) = -13*i + 2. Let a(w) = 3*f(w) + 7*x(w). Differentiate a(j) with respect to j.
-16
Let k(a) = 6*a. Let w be k(2). Suppose i + i + w = 0. Let l(g) = -7*g + 2. Let h(z) = z. Let m(t) = i*h(t) - l(t). What is the first derivative of m(y) wrt y?
1
Suppose 0*j + 20 = 5*j. Differentiate 2*v - 1 + 3*v - j*v - 1 wrt v.
1
Let t(x) = -4*x + 16. Let p be t(3). Suppose -2*z = -7*z + 15. Find the third derivative of -5*i**2 + z*i**6 - p*i**6 + 9*i**2 wrt i.
-120*i**3
Differentiate v**4 + 5*v + 10*v**4 - 5*v + 7 wrt v.
44*v**3
Let y be 6*(-3)/(1 + -10). Find the second derivative of f**y + 9 + 3*f - 9 wrt f.
2
Suppose 6 = 2*i - 0. Find the third derivative of 2*n**5 + 2*n**3 + n**2 - i*n**3 + n**3 wrt n.
120*n**2
Let s = -5 + 5. What is the second derivative of -c**2 + 0*c - 3*c - 2*c**2 + s*c wrt c?
-6
Find the first derivative of 2*c + 0 - 2 - 3 - 23*c wrt c.
-21
Let k = 0 - -2. Differentiate -k + 8 + 3*l**3 + 4*l**3 with respect to l.
21*l**2
Let s(b) be the second derivative of -b**7/14 + b**6/10 + 20*b**3/3 - 3*b + 1. Find the second derivative of s(w) wrt w.
-60*w**3 + 36*w**2
Let a(v) be the first derivative of -2/3*v**3 + 1/6*v**6 - 1 + 0*v**5 + 0*v + 0*v**4 + 0*v**2. What is the third derivative of a(l) wrt l?
60*l**2
Find the third derivative of -f**2 + 3*f**2 + 3*f**5 - 6*f**2 wrt f.
180*f**2
Let x(i) = -11*i + 10. Let v(j) = 100*j - 90. Let d(y) = -6*v(y) - 55*x(y). Differentiate d(f) wrt f.
5
Let g(t) = -t**4 - t**2 + t - 1. Let y(r) = -12*r**4 - 4*r**2 - 31*r - 4. Let b(p) = 4*g(p) - y(p). What is the second derivative of b(q) wrt q?
96*q**2
Let y(r) = -12*r**3 - 10*r**2 - 10*r - 14. Let a(b) = -4*b**3 - 3*b**2 - 3*b - 5. Let x(c) = -10*a(c) + 3*y(c). What is the derivative of x(z) wrt z?
12*z**2
Let p(o) = o + 16. Let a be p(-13). Differentiate a*k + 0 + 3 - 4*k - 1 wrt k.
-1
Let t(x) = 9*x**4 + 5*x**3 + 5*x**2 - 7*x. Let s(h) = 4*h**4 + 2*h**3 + 2*h**2 - 3*h. Let m(u) = 5*s(u) - 2*t(u). Find the second derivative of m(z) wrt z.
24*z**2
Let u = 3 - 2. What is the second derivative of x**2 + u + 2*x**2 + 2*x - 1 wrt x?
6
Find the third derivative of -17*f**2 + 10*f**3 + 5*f**2 - 6*f**3 wrt f.
24
Let v(s) = -4*s**2 - 4*s - 7. Let f(p) = p + 1. Let m(i) = -21*f(i) - 3*v(i). Find the second derivative of m(g) wrt g.
24
What is the derivative of -5*b - 8 + 11 + 15*b + 8 wrt b?
10
Suppose 3*a + a + 3*q - 27 = 0, -a - 4*q + 23 = 0. Differentiate -5*m**a + 0*m - 11 + 0*m + 3 with respect to m.
-15*m**2
Let s(p) be the third derivative of 0 + 0*p**5 - 4/105*p**7 - 7/6*p**3 + 0*p**6 + p**2 + 0*p + 0*p**4. Differentiate s(r) with respect to r.
-32*r**3
Let l(y) = -4*y**5 - y**3 - y + 1. Let f(m) = -m**3 + m**2 - m + 1. Let p(s) = 4*f(s) - 4*l(s). Find the third derivative of p(t) wrt t.
960*t**2
Find the second derivative of -7 - 13*i**4 + 6 + 1 + 9*i wrt i.
-156*i**2
Let f(u) be the second derivative of -u + 0 + 0*u**2 - 1/3*u**4 + 0*u**3 - 1/20*u**5. What is the third derivative of f(p) wrt p?
-6
What is the second derivative of 4*i - 5*i**3 - 25*i**3 + 25*i - 12*i**3 wrt i?
-252*i
Let j(f) be the second derivative of 0*f**5 - 2*f**2 + 0 + 0*f**3 + 7*f + 0*f**4 - 2/15*f**6. Differentiate j(q) with respect to q.
-16*q**3
What is the derivative of 14 - 125*t + 8 - 6 + 170*t wrt t?
45
Let t(f) = 13*f**3 + 3*f - 21. Let w(o) = -40*o**3 - 8*o + 62. Let a(b) = -8*t(b) - 3*w(b). Differentiate a(z) with respect to z.
48*z**2
Let l(i) = -i**2 - 1. Let j(n) = -6*n**4 + 30*n**2 + 6. Let p(w) = -j(w) - 6*l(w). Find the third derivative of p(f) wrt f.
144*f
Let z(x) be the third derivative of x**5/15 + 2*x**3/3 - 14*x**2. Differentiate z(o) with respect to o.
8*o
Let a(y) be the second derivative of y**9/504 + y**5/60 - y**3 + y. Let d(l) be the second derivative of a(l). What is the second derivative of d(o) wrt o?
120*o**3
Suppose -3*d + 5*v + 46 = 0, 34 = 2*d - 3*v - v. What is the third derivative of -8*j**2 - 5*j**6 - d*j**2 + 8*j**2 wrt j?
-600*j**3
Let f(w) = 45*w**3 - 3*w**2 - 3*w + 46. Let o(b) = 89*b**3 - 5*b**2 - 5*b + 91. Let i(r) = -5*f(r) + 3*o(r). Find the first derivative of i(s) wrt s.
126*s**2
Let s(u) be the second derivative of -u**5/4 - 29*u**3/6 + 32*u. Find the second derivative of s(w) wrt w.
-30*w
Let u(t) be the second derivative of 0*t**2 + 1/56*t**8 + 0*t**3 + 1/12*t**4 + 0*t**7 + 0*t**6 + 0*t**5 + 2*t + 0. What is the third derivative of u(i) wrt i?
120*i**3
Suppose -6*a - 2*x = -2*a, -4*x = 16. What is the derivative of -4 + a*h + 9 + 0*h wrt h?
2
Let w(z) = -3*z**4 - 5*z**3 + 59*z**2 + 5. Let p(o) = -4*o**4 - 8*o**3 + 88*o**2 + 8. Let g(u) = -5*p(u) + 8*w(u). What is the third derivative of g(m) wrt m?
-96*m
What is the derivative of 11 + 17*g**2 + 3*g - 8*g + 5*g wrt g?
34*g
Suppose 3*v = -5*w - 9, 2*v - 3*w = -9 + 22. Let j be (0/(-1))/(-1 + -1). What is the derivative of -2 + j*y + 3 + v*y wrt y?
2
Let t(a) = -a**2 - 1