t c(r) = -5*q(r) + 6*x(r). Differentiate c(h) with respect to h.
42*h
Let s(m) be the third derivative of -m**7/6 - m**6/120 - 17*m**3/3 - 45*m**2. Differentiate s(o) wrt o.
-140*o**3 - 3*o**2
Suppose -55*l = -54*l - 4. Let x(j) be the second derivative of -1/10*j**5 + 0*j**l + 0*j**2 + 0 - 1/2*j**3 - 3*j. What is the second derivative of x(b) wrt b?
-12*b
Let y(d) be the third derivative of 0*d**4 + 0*d**6 + 0*d + 2/3*d**3 + 0*d**5 + 1/70*d**7 + 0 + 2*d**2. Differentiate y(k) with respect to k.
12*k**3
Let w = -6 + 8. What is the third derivative of 6*c**5 - w*c**2 - 4*c**5 - c**2 wrt c?
120*c**2
Let r(y) = y + 2. Let p be r(0). Find the second derivative of 0*d**3 + p*d - 3*d - 2*d + d**3 wrt d.
6*d
Let j(c) be the first derivative of 2*c**4 - 4*c**2 - 4. Let d(o) = 4*o**3 - 4*o. Let x(n) = 13*d(n) - 6*j(n). Find the second derivative of x(t) wrt t.
24*t
Let w(d) be the first derivative of -15*d**7/7 + 11*d**3/3 - 29. Find the third derivative of w(g) wrt g.
-1800*g**3
Let i = -31 + 51. What is the derivative of -i*s + 2*s**3 + 2 + 20*s wrt s?
6*s**2
Let g(k) = -7*k + 1. Let j be g(-1). Let n = j + -6. Find the third derivative of 3*z**n + 2*z**3 - z**3 + 0*z**3 wrt z.
6
Let b(x) = -2*x + 1. Let j(p) = 25*p**2 - 28*p + 7. Let w(i) = 6*b(i) - j(i). Find the second derivative of w(t) wrt t.
-50
Suppose 3*x = -3*r + 6, -x + 2*x + 4 = -4*r. Let g = r - -5. Find the third derivative of 3 + 4*d**2 - 3 + 5*d**4 - g*d**4 wrt d.
48*d
Let k = 5 - -6. Suppose -4*d = 3 - k. Find the third derivative of -z**5 - 2*z**5 + z**5 - 2*z**d wrt z.
-120*z**2
What is the second derivative of -14*d**2 - 30*d + d**2 + 18*d wrt d?
-26
Let i = -33 + 32. Let j(c) = -3*c + 0*c + 2*c + 1. Let t(a) = -4*a + 4. Let g(m) = i*j(m) + t(m). Differentiate g(y) with respect to y.
-3
Let c(n) be the second derivative of n**7/280 - n**5/120 - n**3/2 + n. Let h(p) be the second derivative of c(p). Find the second derivative of h(k) wrt k.
18*k
Let p(u) = -u**3 - 4*u**2 - 3*u - 6. Let n be p(-4). Let x = -1 + n. What is the third derivative of 4*t**5 + 3*t**2 - 2*t**x - 5*t**2 wrt t?
120*t**2
Let v be (3*10/(-3))/2. Let s(b) = -7*b**5 + b**2 + 5*b. Let q(l) = 3*l**5 - 2*l. Let i(o) = v*q(o) - 2*s(o). Find the third derivative of i(x) wrt x.
-60*x**2
Let r(x) = x**4 - x**2 - x - 1. Let t(l) = 18*l**4 - l**2 - l + 2. Let g(j) = -r(j) + t(j). Differentiate g(u) with respect to u.
68*u**3
Let p(u) = -u**3 - 4*u**2 - 3*u + 2. Let q be p(-3). Find the second derivative of 3*y + 29 - 5*y**q - 29 wrt y.
-10
Let g(w) be the third derivative of -5*w**9/504 + 3*w**5/20 - 6*w**2. What is the third derivative of g(y) wrt y?
-600*y**3
Let n(z) be the second derivative of -z**4/6 + 2*z**2 + 3*z. Differentiate n(o) wrt o.
-4*o
Differentiate 3*a**2 - 6 - 3 - 14*a**2 + 2 wrt a.
-22*a
Let m(t) be the second derivative of 0*t**5 + 0 + 5*t + 0*t**2 + 0*t**3 + 1/12*t**4 + 2/15*t**6. Find the third derivative of m(u) wrt u.
96*u
Find the third derivative of h**6 + 33*h - 18*h - 14*h - h**2 - 3*h**2 + 3*h**4 wrt h.
120*h**3 + 72*h
Let s(z) be the third derivative of z**8/168 - 2*z**6/15 - 17*z**5/30 + 2*z**2 + 5. Find the third derivative of s(c) wrt c.
120*c**2 - 96
Let u(t) be the second derivative of -23*t**5/20 - 11*t**4/4 + 11*t. Find the third derivative of u(q) wrt q.
-138
Let i(f) = f**3 + 11*f**2 + 10*f + 5. Let z be i(-10). Find the third derivative of -z*a**2 + 11*a**2 - 4*a**6 - 15*a**2 wrt a.
-480*a**3
Let u be 0 + 1 - (-6 + 0). What is the derivative of -s**2 - u*s**2 + 4*s**2 - 4 wrt s?
-8*s
Suppose -5 = 2*y + 7. Let q be ((-8)/(-12))/((-1)/y). What is the third derivative of w**6 + q*w**2 - 3*w**2 + 0*w**6 wrt w?
120*w**3
Let o(d) be the second derivative of -3*d + 0*d**4 + 0 + 1/20*d**5 + 0*d**3 + 3/2*d**2. What is the first derivative of o(v) wrt v?
3*v**2
Let q(v) be the third derivative of -5*v**4/24 - 2*v**3/3 + 7*v**2. Differentiate q(i) wrt i.
-5
Suppose 5*l + 2 = -3*o, 3*l - o - 10 = -0*l. Differentiate -b**4 + l*b**4 - 3 + 6 - 4 with respect to b.
4*b**3
Let a = -1 - 2. Let t = a - -5. Find the third derivative of -2*q + 2*q**2 + t*q + q**6 wrt q.
120*q**3
Let r(b) = -b**3 + 4*b**2 + b + 1. Let m be r(4). What is the third derivative of -k**m + 5*k**5 - 3*k**5 - k**2 wrt k?
60*k**2
Let x(b) = -6*b - 2. Let f be x(-3). Suppose -j - 4*p = p + f, -p = 2*j - 4. What is the derivative of -5 + j - 4*a**2 + 6*a**2 wrt a?
4*a
Let u(d) = 0 + 2 + 3 - 4. Let x(s) = 3*s + 4. Let z(w) = -5*u(w) + x(w). Differentiate z(l) with respect to l.
3
Let x(h) be the third derivative of -3*h**2 + 1/20*h**5 + 0*h**4 + 0*h**3 + 0*h + 0 + 0*h**7 + 0*h**6 + 1/112*h**8. What is the third derivative of x(r) wrt r?
180*r**2
What is the derivative of -27*j**3 + 25 - 27*j**3 - 9*j**3 wrt j?
-189*j**2
What is the third derivative of 235*f**3 - 8*f**4 + 12*f**2 - 235*f**3 wrt f?
-192*f
Let q be ((-2)/8 + (-33)/12)*-1. Let s(h) be the second derivative of 0 - 3/2*h**2 - q*h - 1/3*h**3. Differentiate s(j) with respect to j.
-2
Let j(w) be the second derivative of -6*w**7/7 + 13*w**4/6 + w. Find the third derivative of j(i) wrt i.
-2160*i**2
Let n(t) = t**3 + 5*t**2 - 7*t - 3. Let p = -12 + 6. Let i be n(p). Differentiate -u**2 - i - 1 + 3 with respect to u.
-2*u
Suppose 2*r = -3*r + 10. Find the third derivative of -2*h**r - 5*h**3 - 2*h**3 + h**3 + 0*h**2 wrt h.
-36
Let y(w) be the third derivative of -w**7/70 - 7*w**5/60 - 5*w**4/3 - 17*w**2 + 3*w. Find the second derivative of y(d) wrt d.
-36*d**2 - 14
What is the second derivative of -39*d**4 + 13 - 2*d + d - 27 - d wrt d?
-468*d**2
Let p(q) = q**2 + 10*q + 3. Let c be p(-10). Find the first derivative of -3 - 3*n + c + 0 - 2 wrt n.
-3
Find the first derivative of 50 + 36*r**2 + 36*r**2 - 121 wrt r.
144*r
Let s(p) = -31*p**4 - 3*p**2 - 3*p + 9. Let w(u) = 32*u**4 + 4*u**2 + 4*u - 8. Let m(j) = 4*s(j) + 3*w(j). Differentiate m(v) wrt v.
-112*v**3
Let v(h) be the first derivative of -26*h**5/5 - 50*h**3/3 + 33. Find the third derivative of v(r) wrt r.
-624*r
Let q be (12/15)/((-4)/(-10)). Find the first derivative of 2*h**4 - h**4 - h**q + h**2 + 5 wrt h.
4*h**3
Let c(a) be the second derivative of -a**8/3360 - a**7/840 + a**4/6 - 2*a. Let g(f) be the third derivative of c(f). Find the third derivative of g(s) wrt s.
-12
Differentiate -3 - 25*t + 25*t + 21*t**2 + 1 wrt t.
42*t
What is the second derivative of 0*w**2 - 6*w**3 + 49*w + 0*w**2 - 42*w wrt w?
-36*w
Let h(b) be the second derivative of 17*b**5/10 - 7*b**2/2 + b - 8. Find the first derivative of h(d) wrt d.
102*d**2
Differentiate -51*f + 24*f + 27*f - 4 + 7*f**4 wrt f.
28*f**3
Find the second derivative of -26*t - 19*t**5 + 7*t + t wrt t.
-380*t**3
Suppose -q + 9 = 4. Find the second derivative of 3*s**2 + 4*s**2 - 4*s**2 - 4*s**2 - q*s wrt s.
-2
Differentiate -34*f**4 - 17*f**4 + 3*f**4 - 38 with respect to f.
-192*f**3
Let q(i) be the second derivative of -2*i**7/21 - 7*i**4/12 + 7*i. What is the third derivative of q(a) wrt a?
-240*a**2
Suppose 0 = 2*n + 6, -4*b + 1 = n - 4. Let i(c) be the first derivative of 2 + 1/3*c**3 - 2*c + 0*c**b. Find the first derivative of i(v) wrt v.
2*v
Let y(j) be the first derivative of -j**10/1680 + j**6/90 + 5*j**3/3 + 6. Let l(w) be the third derivative of y(w). Find the third derivative of l(d) wrt d.
-360*d**3
Let t(k) = -k**2 + k - 1. Let s(v) = -25*v**2 + 7*v - 30. Let c(q) = -3*s(q) + 21*t(q). What is the derivative of c(a) wrt a?
108*a
Let q(n) = -17*n**4 + 6*n - 2. Let g(i) = -16*i**4 + 5*i - 3. Let y(t) = 6*g(t) - 5*q(t). What is the first derivative of y(w) wrt w?
-44*w**3
Let r = -8/7 - -55/42. Let k(v) be the second derivative of 3*v - 3/2*v**2 - r*v**4 + 0 + 0*v**3. Find the first derivative of k(s) wrt s.
-4*s
Let n(k) be the third derivative of k**5/120 - k**4/6 + 5*k**3/6 - 3*k**2. Let p(v) be the first derivative of n(v). Differentiate p(g) with respect to g.
1
Let p(z) be the first derivative of 11*z**6/6 - z**3/3 + 11. What is the third derivative of p(k) wrt k?
660*k**2
Let n(z) = -3*z**2 + 5. Let r(h) be the first derivative of h - 6. Let i(t) = -n(t) + 3*r(t). What is the derivative of i(g) wrt g?
6*g
Let d(l) be the second derivative of l**5/10 - l**4/6 - l**3/6 + 7*l**2 + 24*l. Find the second derivative of d(p) wrt p.
12*p - 4
Differentia