t m(b) be the third derivative of 1/3*b**3 + d*b**4 + 0*b - 3*b**2 + 0. What is the derivative of m(j) wrt j?
1
Let p(h) be the first derivative of 7*h**2/2 - 8*h + 8. What is the derivative of p(w) wrt w?
7
What is the third derivative of 4*n - 10*n**2 - 4*n + 41*n**5 - 8*n**2 wrt n?
2460*n**2
Let z(q) be the first derivative of q**7/30 + q**5/60 + 5*q**2/2 - 9. Let j(h) be the second derivative of z(h). What is the third derivative of j(l) wrt l?
168*l
Let u(y) = -14*y**4 - 11*y. Let i(d) = 56*d**4 + 43*d. Let w(r) = -2*i(r) - 9*u(r). What is the second derivative of w(q) wrt q?
168*q**2
Suppose 4*t + 3*f - 17 = 7, -t + 6 = -4*f. What is the first derivative of -10*m + t + 7*m + 11*m wrt m?
8
Let m(k) = -k**5 + 4*k**4 + 5*k**2 - 4. Let r(q) = 2*q**5 - 3*q**4 - 5*q**2 + 3. Let c(w) = 3*m(w) + 4*r(w). Find the third derivative of c(y) wrt y.
300*y**2
Let p(g) = g**3 + 9*g**2 - 9*g + 13. Let s be p(-10). Differentiate 0*u - s*u - u + 5 - 3 with respect to u.
-4
What is the third derivative of -23*o**2 - 8*o**2 - 17*o**3 + 0*o**2 wrt o?
-102
Let z(s) be the first derivative of -5*s**4/2 - 11*s - 3. What is the derivative of z(f) wrt f?
-30*f**2
Suppose k + 2*k - 3*a = -3, 2*k = a - 1. Suppose -3*f + k*f + 12 = 0. Find the first derivative of -4*o + f*o + 0*o + 3 + 2*o wrt o.
2
Let h(u) = -u**4 - 3*u**2 + 4*u. Let f(w) = -w**4 + w**2 - w. Suppose 2*a + 5 = 3. Let c(v) = a*h(v) - 3*f(v). Find the second derivative of c(b) wrt b.
48*b**2
Let o = -26 + 26. Let n(y) be the second derivative of -1/3*y**3 + 0 + o*y**2 - 1/6*y**4 - 2*y. Find the second derivative of n(h) wrt h.
-4
What is the second derivative of 3*s**2 - 2*s + 7*s + 3*s**2 wrt s?
12
Find the second derivative of -11 - 11*y + 2*y**2 + 11 wrt y.
4
Let q(v) be the first derivative of v**6/360 - v**4/8 + v**3/3 + 3. Let u(f) be the third derivative of q(f). Differentiate u(l) with respect to l.
2*l
Find the second derivative of 111*y + 4*y**2 + 0*y**2 - 123*y wrt y.
8
Let d(r) be the second derivative of 0*r**3 + 0*r**2 + 1/4*r**4 + 0 + 0*r**5 - 3*r + 1/10*r**6. What is the third derivative of d(a) wrt a?
72*a
Let z be -1*(5 + (1 - 0)). Let p = z - -10. What is the third derivative of a**3 - 2*a**2 + 5*a**4 - a**3 - 3*a**p wrt a?
48*a
Let w be (-1 + 3 + 6)/2. What is the third derivative of 5*b**6 + 6*b**2 - 3*b**2 + w*b**2 wrt b?
600*b**3
What is the second derivative of 5*z**2 + 116 - 7*z - 116 wrt z?
10
Let j(c) be the third derivative of 3*c**7/35 + c**4/2 + 20*c**2. What is the second derivative of j(w) wrt w?
216*w**2
Let v(p) = -2*p - 6. Let l be v(-4). Differentiate -8 - l*s**2 + 3*s**2 + 10 with respect to s.
2*s
Let y(o) = -10*o**5 - 3*o**4 - 3*o**3 + 8*o + 3. Let q(j) = -j**5 + j**4 + j**3 + j - 1. Let p(h) = 3*q(h) + y(h). What is the second derivative of p(u) wrt u?
-260*u**3
Let n(p) be the first derivative of 0*p**3 + 0*p**4 + 6*p - 4/5*p**5 - 2 + 0*p**2. Find the first derivative of n(l) wrt l.
-16*l**3
Let a(z) be the third derivative of 0*z**4 + 0*z**7 + 0*z**6 - 1/30*z**5 - 1/112*z**8 + 0*z + 0 - z**2 + 0*z**3. Find the third derivative of a(t) wrt t.
-180*t**2
Let r(a) be the third derivative of -a**9/126 - 17*a**5/60 + 7*a**2. What is the third derivative of r(c) wrt c?
-480*c**3
Let z be (0 - -1)*(-27)/(-9). Suppose -6 = -0*t - z*t. What is the second derivative of 5*w - 3*w + 2*w**t - w**2 wrt w?
2
Suppose -2*s - 4 = 8. Let y(j) = 6*j**3 + 8*j**2 - 6*j. Let n(r) = 6*r**3 + 7*r**2 - 5*r. Let g(p) = s*n(p) + 5*y(p). Find the third derivative of g(x) wrt x.
-36
Find the second derivative of -l + 16*l - 6*l**5 + 7*l**5 - 19*l**5 wrt l.
-360*l**3
Let s(h) = 3*h - 4. Let m(u) = -11 + u + 14*u - 10. Let n(b) = -2*m(b) + 11*s(b). Find the first derivative of n(f) wrt f.
3
What is the second derivative of 7*b - 386*b**3 + 365*b**3 - 3*b wrt b?
-126*b
Let t = 13 - 6. Let g = t - 1. Find the third derivative of -2*i**g - i**2 + i**6 + 0*i**2 wrt i.
-120*i**3
Let i(u) be the first derivative of -3/5*u**5 - 1/3*u**3 + 0*u**4 + 0*u**2 + 0*u + 3. What is the third derivative of i(m) wrt m?
-72*m
Let w(c) be the first derivative of 6*c**5/5 + 4*c**3/3 + 3. Find the third derivative of w(p) wrt p.
144*p
Let f be (-52)/(-10) - (-2)/(-10). What is the second derivative of f*s**2 - s**2 - 2*s**2 - 4*s + 6*s wrt s?
4
Suppose -7*z + 45 = -2*z. Find the second derivative of -t + 0*t - z*t**2 + 4*t**2 wrt t.
-10
Let n(r) be the second derivative of 29*r**5/20 + 11*r**3/2 + 3*r. Find the second derivative of n(u) wrt u.
174*u
Let x(m) be the second derivative of -5/2*m**2 - m + 0 - 1/4*m**4 + 0*m**3. Differentiate x(f) with respect to f.
-6*f
Let n(x) = -11*x**3 - 14*x**2 + 3. Let m(h) = -98*h**3 - 126*h**2 + 28. Let z(g) = -3*m(g) + 28*n(g). What is the third derivative of z(d) wrt d?
-84
Suppose -d + 4 = 3*x, 2*x - 6 = -d - 2. What is the third derivative of -7*a**4 + 7*a**4 + a**2 + x*a**2 - 3*a**5 wrt a?
-180*a**2
Let p(x) = 5*x**3 + 5*x**2 + 55*x + 4. Let t(f) = -f**3 + f**2 - f + 1. Let j(d) = p(d) - 5*t(d). What is the second derivative of j(s) wrt s?
60*s
Let i = 28 + 53. Suppose 3*n - i = -12. Find the third derivative of -n*o**2 + 3*o**5 + 20*o**2 + o**5 wrt o.
240*o**2
Find the second derivative of 3*r**2 - 50 + 50 - r**2 + 9*r wrt r.
4
Let l(k) be the first derivative of -k**4/2 + 2*k**2 + 1. Find the second derivative of l(u) wrt u.
-12*u
Let b(a) be the third derivative of 11*a**4/24 - 17*a**3/3 - 46*a**2. Find the first derivative of b(h) wrt h.
11
Let g = 2 + 2. Find the third derivative of z**2 - z**g - z**4 - 4*z**2 wrt z.
-48*z
Let j(g) be the first derivative of -21*g**2/2 - 11*g - 2. Find the first derivative of j(x) wrt x.
-21
Let g = 20 + -13. Find the third derivative of g*w**2 + w**6 - 4*w**2 + 3*w**6 - 3*w**6 wrt w.
120*w**3
Let a(j) = j**2 - j. Let c(g) = -3*g**3 - 5*g**2 + 5*g + 3. Let n(l) = -15*a(l) - 3*c(l). Differentiate n(s) with respect to s.
27*s**2
What is the second derivative of -47*c**2 + 42*c - 9*c**2 - 44*c wrt c?
-112
Find the first derivative of 16 + 149*y**2 - 149*y**2 + 4*y**3 wrt y.
12*y**2
Let q(y) be the third derivative of 0*y + 0 + 0*y**4 - 1/3*y**3 - 6*y**2 + 1/30*y**5. Find the first derivative of q(i) wrt i.
4*i
Let t be ((-3)/(-5))/(4/(-5 - -25)). Let z(g) be the first derivative of -g**2 + 0*g**t + 0*g + 3/4*g**4 - 2. What is the second derivative of z(d) wrt d?
18*d
Suppose 0 = 5*w - 4 - 11. Let p(r) = r**2 - r + 2. Let v be p(0). What is the second derivative of -x**2 + x + 3*x**2 - w*x**v wrt x?
-2
Let f(t) be the third derivative of 3*t**6/20 - 3*t**3 + 10*t**2 + 4. What is the first derivative of f(x) wrt x?
54*x**2
Find the third derivative of -10*p**2 + 7*p**2 - 2 + 13*p**2 + 40*p**3 wrt p.
240
Let y be ((-1)/(-2))/((-2)/12). Let l be (-2)/(-2) + y/(-3). Find the third derivative of -n**l - n**4 - n**4 + 2*n**2 wrt n.
-48*n
Let q be (-6)/(-18)*(1 + 5). Suppose 0*x - 4*p + 26 = q*x, 2*p - 19 = -3*x. Find the second derivative of -2*s + 0*s**2 + x*s + 0*s - 2*s**2 wrt s.
-4
Let p(f) be the third derivative of f**9/504 - 29*f**7/210 + 43*f**5/60 - 3*f**2 - 6*f. What is the third derivative of p(d) wrt d?
120*d**3 - 696*d
Let u(c) be the third derivative of 1/60*c**6 + 0*c**4 + 0*c - 1/3*c**3 + 0*c**5 + 0 - 2*c**2. What is the derivative of u(f) wrt f?
6*f**2
Suppose -6*v + 4*v + 4 = 0. What is the third derivative of -3*m**4 - 4*m**2 + 2*m**v - m**2 + 2*m**4 wrt m?
-24*m
Let n(t) be the first derivative of 3*t**5/5 + 3*t**2 + 1. Find the second derivative of n(v) wrt v.
36*v**2
Let q(p) = -60*p + 20. Let a(z) = -20*z + 7. Let l(u) = -10*a(u) + 3*q(u). What is the derivative of l(i) wrt i?
20
Let h(r) be the first derivative of 0*r**4 - 1/3*r**3 + 1/3*r**6 + 0*r**2 - 2 + 0*r + 0*r**5. What is the third derivative of h(o) wrt o?
120*o**2
Let d(b) be the third derivative of 11*b**8/336 - 13*b**5/60 - 5*b**2. Find the third derivative of d(m) wrt m.
660*m**2
Suppose 0 = 5*b - 4 - 26. Find the first derivative of 6*a**2 - b - 2 - 7*a**3 - 6*a**2 wrt a.
-21*a**2
Let n(w) = 14*w**3 + w**2 + 2*w + 2. Let l(z) = -14*z**3 - 2*z**2 - 3*z - 3. Let g(m) = 2*l(m) + 3*n(m). Find the third derivative of g(j) wrt j.
84
Let c(q) be the first derivative of 7*q**6/6 - 2*q**3/3 + 2. What is the third derivative of c(z) wrt z?
420*z**2
Let u = -8 + 9