t is the third derivative of s(g) wrt g?
36
Let p(a) = -59*a**2 - 13*a + 6. Let q(r) = -29*r**2 - 6*r + 3. Let c(i) = -6*p(i) + 13*q(i). Find the first derivative of c(h) wrt h.
-46*h
Let k(p) be the third derivative of p**5/60 - 11*p**4/24 + 10*p**2. What is the second derivative of k(z) wrt z?
2
Find the third derivative of -261*n - 4*n**5 + 261*n - 9*n**5 - 35*n**2 wrt n.
-780*n**2
Find the third derivative of 161*d**4 + 18*d**2 + 0*d**6 + 2*d**6 - 161*d**4 wrt d.
240*d**3
Let w(x) be the third derivative of x**9/56 - x**5/60 - 16*x**2. Find the third derivative of w(a) wrt a.
1080*a**3
Let k = -3 + 7. Suppose b - c - k = 0, 5 = b - 4*c + 1. Differentiate 3 + l**2 - b*l**2 + l**2 with respect to l.
-4*l
Let d be (-3)/(4 - 1) - -5. Let p = d - 1. What is the second derivative of 2*u**4 + p*u + u**4 - 4*u**4 wrt u?
-12*u**2
Let s(i) be the first derivative of -6/5*i**5 + 0*i**3 + 0*i - 6 + 0*i**4 - 1/2*i**2. What is the second derivative of s(h) wrt h?
-72*h**2
What is the first derivative of -4*t + 7 + 4*t - 7*t + 0 wrt t?
-7
Let x(g) = -21*g - 5. Let w(y) = -7*y - 2. Let z(t) = -8*w(t) + 3*x(t). Differentiate z(i) with respect to i.
-7
Let y(a) = -a**2 + a. Let o be y(1). Let c(l) be the second derivative of 1/12*l**4 + o + 0*l**2 + 1/6*l**3 + 3*l. What is the second derivative of c(q) wrt q?
2
Let q(c) = -18*c**5 - 6*c**4 - 6*c**3 - 7*c. Let b(f) = -f**5 - f**4 - f**3 - f. Let y(i) = 6*b(i) - q(i). Find the second derivative of y(p) wrt p.
240*p**3
Let j(o) be the first derivative of 0*o + 1 + 0*o**4 + 1/3*o**3 + 0*o**2 - 1/5*o**5. Find the third derivative of j(w) wrt w.
-24*w
Suppose -t + 3*t = 8. Let a(s) be the second derivative of 0*s**2 + 0 - 1/3*s**3 + 0*s**5 + s + 0*s**t - 1/15*s**6. Find the second derivative of a(q) wrt q.
-24*q**2
What is the third derivative of 15*w**2 - 15*w**3 + 25*w**2 - 14*w**3 wrt w?
-174
Let u(l) be the first derivative of -3*l**4/4 + 35*l - 18. Find the first derivative of u(j) wrt j.
-9*j**2
Suppose -4*s = -3*s + 5*d + 1, -5*d - 25 = -5*s. What is the first derivative of 2*r**4 - 6*r**s + 11*r + 9 - 11*r wrt r?
-16*r**3
Suppose 3*y = -f - y, 4*y = 5*f - 48. Differentiate 2 - f*p + 5*p - 4 wrt p.
-3
Let o(n) = -n**2 + 6*n + 10. Let j be o(7). Let u(d) = -d. Let l be u(0). What is the third derivative of 3*m**2 - j*m**3 + 0*m**3 + l*m**3 + m**3 wrt m?
-12
Let h = -25 - -28. What is the second derivative of 3*q + 0*q - 6*q - h*q**3 - q**3 wrt q?
-24*q
Let v(p) = 8*p**3 + 4*p**2 - p - 1. Let x(m) = -m**3 + m**2 + m + 1. Let b(d) = -v(d) - x(d). What is the third derivative of b(w) wrt w?
-42
Let p = 3 + 2. Differentiate -p*w - 3*w - 3 + 4*w wrt w.
-4
Let d(h) = -14*h**2 - 28*h + 6. Let b(j) = 15*j**2 + 28*j - 8. Let g(m) = 3*b(m) + 4*d(m). What is the second derivative of g(u) wrt u?
-22
Let s(k) be the second derivative of -k**5/4 + 4*k**3/3 + 5*k. Find the second derivative of s(v) wrt v.
-30*v
Find the third derivative of 3*c**2 + 0 + 2*c**2 + 9*c**5 + 0 wrt c.
540*c**2
What is the second derivative of 37*s**4 + 51*s - 19*s**4 + 20*s**4 wrt s?
456*s**2
Let y(s) be the third derivative of -11*s**6/120 - 7*s**5/15 + s**3/6 + 51*s**2. Find the third derivative of y(x) wrt x.
-66
Let s(h) = h**4 + 6*h**3 + 4*h**2 + 6*h. Let p(k) = -5*k**3 - 3*k**2 - 5*k. Let v(c) = 6*p(c) + 5*s(c). Find the third derivative of v(f) wrt f.
120*f
Let r(x) = -x**4 - 4*x**3 + 12*x**2 + 4. Let k(t) = t**3 - t**2 - 1. Let b(g) = 4*k(g) + r(g). Find the third derivative of b(v) wrt v.
-24*v
Let v be 3/(-3)*(-1 - 4). Suppose -4 - 1 = -2*t - 5*k, -v*t + 1 = k. What is the third derivative of 0*p**2 + 2*p**2 + t*p**2 - 3*p**4 wrt p?
-72*p
Let p be (-3 - -1) + 2 - 0. Let a(v) be the second derivative of 0*v**2 + v + 1/6*v**3 + p + 1/12*v**4. Find the second derivative of a(o) wrt o.
2
What is the derivative of -9 - 2 + 7*j + 1 wrt j?
7
Let h(d) be the first derivative of d**4/2 - 7*d + 8. Differentiate h(w) wrt w.
6*w**2
Let w(s) be the third derivative of -s**8/168 - 2*s**5/5 + 12*s**2. What is the third derivative of w(m) wrt m?
-120*m**2
Let x(z) be the second derivative of -5/6*z**3 - 1/20*z**5 - 2*z + 0*z**2 + 0*z**4 + 0. What is the second derivative of x(r) wrt r?
-6*r
What is the third derivative of 10*i**6 + 17*i**5 - 3*i**2 - i**2 - 17*i**5 wrt i?
1200*i**3
Let c(v) be the first derivative of 4*v**5/5 + v**2/2 - 1. Find the second derivative of c(q) wrt q.
48*q**2
Let g(b) be the third derivative of -b**6/8 - 37*b**4/24 - 11*b**2 - 1. Find the second derivative of g(k) wrt k.
-90*k
Let j(v) = -v**3 + v**2 + v. Let w(c) = -46*c**3 + 4*c**2 + 4*c - 22. Let h(z) = 4*j(z) - w(z). Find the first derivative of h(b) wrt b.
126*b**2
Find the third derivative of -295*h**2 + 21*h**4 + 2*h**4 + 302*h**2 wrt h.
552*h
Let x(w) be the second derivative of -8*w + 0*w**4 - 3/10*w**5 - 3*w**2 + 0*w**3 + 0. What is the first derivative of x(a) wrt a?
-18*a**2
Differentiate 432 + 0*a**3 - 427 - 2*a**3 with respect to a.
-6*a**2
Suppose 20 = -4*s, -5*w - 9 = 5*s - 4. Find the second derivative of 2*d**2 - 4*d**2 + w*d + d - d wrt d.
-4
What is the third derivative of 3*z**6 + 13*z**2 + 69*z**3 - 69*z**3 wrt z?
360*z**3
Differentiate 3*l - 6*l + 0*l - 6 + 0 with respect to l.
-3
Find the third derivative of -x**4 - 6*x**4 - 3*x**4 - 3*x**2 + 5*x**4 wrt x.
-120*x
Find the third derivative of 922*s**4 - 7*s**5 - 922*s**4 + 17*s**2 wrt s.
-420*s**2
Let s(i) = -22*i**3 + 2*i**2 - 2*i - 22. Let c(p) = 43*p**3 - 5*p**2 + 5*p + 44. Let r(h) = -2*c(h) - 5*s(h). Differentiate r(k) wrt k.
72*k**2
Let b(j) be the first derivative of -j**9/168 - j**5/30 - j**2 - 3. Let v(r) be the second derivative of b(r). What is the third derivative of v(o) wrt o?
-360*o**3
What is the third derivative of -11*c + 11*c - 7*c**2 - 8*c**4 wrt c?
-192*c
Let r be ((-4)/6)/(3/(-9)). Differentiate f**r - f**2 - 48*f**3 + 47*f**3 + 7 wrt f.
-3*f**2
Let n(m) be the second derivative of 5*m**4/12 - m**2/2 + 3*m. Differentiate n(a) with respect to a.
10*a
What is the first derivative of -7 + 0 + 7*x - 2*x + x wrt x?
6
Let y be (-14)/35 - 2/(-5). Let s(l) be the third derivative of 0*l - 3*l**2 - 1/2*l**3 + 1/24*l**4 + y. What is the derivative of s(a) wrt a?
1
Let b(a) be the third derivative of -a**6/15 + 7*a**4/24 + a**2. Find the second derivative of b(q) wrt q.
-48*q
Let j(m) be the first derivative of -2 + 0*m**4 - 3/7*m**7 + 1/3*m**3 + 0*m**2 + 0*m + 0*m**5 + 0*m**6. Find the third derivative of j(q) wrt q.
-360*q**3
Let g be 3/((-3)/(-18)*3). What is the second derivative of 10*l + g - 6*l**4 - 6 wrt l?
-72*l**2
Let q(d) = 2*d + 2*d + 8*d**2 - 8 - 4*d. Let t(a) = -a**2 + 1. Let h(b) = -q(b) - 6*t(b). What is the derivative of h(o) wrt o?
-4*o
Let c = 4 - 2. Let u be (-108)/(-45) + c/(-5). What is the second derivative of -2*j - 3*j**2 + j**u + 4*j wrt j?
-4
Suppose 0 = 5*g + 4*q - 21, 4*g = -3*q + 13 + 4. What is the second derivative of -s**2 - g*s**2 + 6*s**2 - 3*s + 6*s**2 wrt s?
12
What is the derivative of -23 + 29*s**2 - 12*s**2 + 35*s**2 - 24 wrt s?
104*s
Suppose 2*x - 3 = x. Suppose 0 = x*c - 2*c. Differentiate c + 3*h**2 + 3 - 4*h**2 wrt h.
-2*h
Suppose 0*q + 22 = q - 5*a, a + 14 = 5*q. Suppose -1 - q = -d. What is the second derivative of 2*w - 2*w**3 + 5*w**3 - w**d wrt w?
12*w
Let z(w) = w**2 - 5*w + 4. Let x be z(4). Suppose -2 = -s - x. Find the first derivative of j**s - 2 + 2 + 4 - 2 wrt j.
2*j
Find the third derivative of 6*a**2 - 9*a**2 - 6*a**6 - 8*a**2 wrt a.
-720*a**3
Find the third derivative of 6*d**2 + 2*d**2 - 3*d**2 - d**3 wrt d.
-6
Let n(a) = -85*a**4 + a**3 - 119*a**2 + 1. Let x(i) = 17*i**4 + 24*i**2. Let b(u) = -2*n(u) - 11*x(u). What is the third derivative of b(f) wrt f?
-408*f - 12
Let v(c) be the third derivative of 4*c**7/105 + 5*c**4/6 - 14*c**2. What is the second derivative of v(g) wrt g?
96*g**2
Let o(t) = -t + 1. Let n(h) = -2*h**2 + h + 5. Let l(g) = g. Let y be l(1). Let x(d) = y*n(d) + o(d). Differentiate x(i) with respect to i.
-4*i
Suppose 5*h + c + 2 = 0, 5*h = 2*c - 5*c - 6. Find the second derivative of 3*j + h*j**4 + 2*j**4 - 4*j**4 wrt j.
-24*j**2
Let s(c) = 0*c + 1 - 2 - c. Let r(x) = -2*x**2 + x + 4. Let y(v) = r(v) + 4*s(v). What is the second derivative of y(k) wrt k?
-4
Let w(p) be the third derivative of 2*p**7/35 +