 with respect to r.
33
Let k(p) = 5*p**3 + 8*p. Let w(o) = 26*o**3 + 40*o. Let v(d) = 11*k(d) - 2*w(d). Find the second derivative of v(b) wrt b.
18*b
Let v(j) be the third derivative of j**8/1680 + j**4/24 + j**3/6 - 2*j**2. Let p(q) be the first derivative of v(q). Differentiate p(c) with respect to c.
4*c**3
Let u(t) be the third derivative of -t**6/90 - t**5/60 - t**3/2 - 2*t**2. Let s(w) be the first derivative of u(w). What is the second derivative of s(m) wrt m?
-8
Suppose -5 = -4*f - 3*m, 0*m - 5 = -f + 3*m. What is the first derivative of -2*z + z + f*z - 1 wrt z?
1
What is the second derivative of -71*c**4 - 2*c + 12*c + 77*c**4 wrt c?
72*c**2
Let i(o) be the second derivative of o**5/10 - 23*o**4/6 + 44*o. What is the third derivative of i(c) wrt c?
12
Let h(c) = -13*c**2. Let f(r) = 14*r**2 + 1. Let o(p) = 3*f(p) + 4*h(p). What is the derivative of o(i) wrt i?
-20*i
Let r(i) be the second derivative of -19*i**3/6 - 6*i**2 - 17*i. Find the first derivative of r(a) wrt a.
-19
Suppose -17 = -4*n - 5. Suppose n*d = -d. What is the second derivative of 3*y**2 + d*y**2 - 5*y**2 - 3*y wrt y?
-4
Let g(d) be the first derivative of -d**8/840 - d**4/12 + d**3 + 2. Let o(h) be the third derivative of g(h). Find the first derivative of o(j) wrt j.
-8*j**3
Find the third derivative of -12*s**2 - 8*s**5 - 12*s**2 + 22*s**2 - 7*s**2 wrt s.
-480*s**2
Let n(y) be the third derivative of y**9/21 - 29*y**5/60 - 19*y**2. What is the third derivative of n(a) wrt a?
2880*a**3
What is the derivative of q**2 + 21*q**2 - 4*q**2 + 1 wrt q?
36*q
Let p(c) = -c + 8. Let s be p(6). Suppose -z = -s - 1. Find the second derivative of -4*o - 3*o**2 + z*o**2 + 3*o + 2*o**2 wrt o.
4
Let w(q) = q**2 + q - 1. Let h(t) = 5*t**2 - 9*t + 20. Let r(u) = 2*h(u) + 18*w(u). Differentiate r(i) with respect to i.
56*i
Find the first derivative of -38*f - 26*f + 105*f - 27*f - 13 wrt f.
14
Let d(b) be the third derivative of 3*b**8/56 + b**5/15 - 14*b**2. What is the third derivative of d(w) wrt w?
1080*w**2
Let w(q) = 8*q - 5. Let m(z) be the third derivative of z**4/24 - z**3/6 - z**2. Let h(p) = 4*m(p) - w(p). Find the first derivative of h(s) wrt s.
-4
What is the third derivative of 11*m**6 - 17*m**6 + 16*m**6 - 10*m**2 wrt m?
1200*m**3
Suppose -38*l + 33*l = -15. Let n(f) be the second derivative of 2*f + 0 - 3/2*f**2 - 1/2*f**l. Find the first derivative of n(p) wrt p.
-3
Let n = -10 - -13. Find the third derivative of 2*l**2 - n*l**2 - 5*l**6 + 0*l**2 wrt l.
-600*l**3
What is the third derivative of 7*o**3 + 31*o**2 - 6*o**4 - 9*o**3 + 2*o**3 wrt o?
-144*o
Let z(r) = -13*r + 12. Let i be (-12)/((-2)/(-2 + 3)). Let a(h) = 14*h - 13. Let m(b) = i*a(b) + 7*z(b). Find the first derivative of m(j) wrt j.
-7
Let a(z) = z**3 + 3*z**2 - 6*z - 1. Let h be a(-4). Let f = h + -4. Find the second derivative of -f*q**4 - 20*q + 21*q + 2*q**4 wrt q.
-12*q**2
Let j(h) be the second derivative of -7*h**6/120 + h**4/4 - h**2/2 + 6*h. Let s(w) be the first derivative of j(w). What is the second derivative of s(g) wrt g?
-42*g
Let r be 45/12 + (-2)/(-8). Suppose 2 = r*q - 3*q. Find the first derivative of 2 - a**q + 3*a**2 - 5*a**2 wrt a.
-6*a
Let v = -2 + 10. Let j(f) = f**2 - 7*f - 6. Let u be j(v). What is the third derivative of 2*o**u - 4 + 4 + o**6 wrt o?
120*o**3
Let s(t) be the first derivative of -t**7/210 - t**5/20 + 3*t**2/2 - 1. Let f(u) be the second derivative of s(u). Find the third derivative of f(c) wrt c.
-24*c
Suppose 3*w - 17 = 2*v - 0*v, 0 = 5*v + 5. What is the first derivative of 3*g**3 - 2*g**2 + 2*g**2 - w + 5*g**3 wrt g?
24*g**2
Find the third derivative of -40*h - 7*h**2 + 1 - h**4 + 40*h - 4*h**5 wrt h.
-240*h**2 - 24*h
Let f(a) = 33 - 34 + a**5 - a**4 + a**2 + 0*a**5. Let m(u) = 15*u**5 - 5*u**4 + 3*u**2 - 5. Let w(g) = -5*f(g) + m(g). Find the third derivative of w(c) wrt c.
600*c**2
What is the first derivative of 49*k**4 + 55 - 1 + 16 wrt k?
196*k**3
Let y(b) = 4*b**3 + 7. Let s(w) = -8*w**3 - 14. Let q(v) = -3*s(v) - 7*y(v). Find the first derivative of q(f) wrt f.
-12*f**2
Let w(m) = 13*m**3 + 2*m**2 - 6*m + 42. Let f(r) = r**3 + r + 1. Let d(c) = -6*f(c) - w(c). Differentiate d(k) with respect to k.
-57*k**2 - 4*k
Let c be (3 + (-10)/4)*14. Suppose c*p = 2*p + 20. Find the second derivative of 5*u**4 - 5*u**4 + p*u + u**5 wrt u.
20*u**3
Let a(q) = -q**2 - 2*q. Let k(u) = -56*u**2 - 8*u + 21. Let n(s) = 4*a(s) - k(s). What is the first derivative of n(o) wrt o?
104*o
Let u(g) be the second derivative of 1/12*g**4 + 0 - 4*g - 1/6*g**3 + 0*g**2. What is the second derivative of u(r) wrt r?
2
Suppose 0 = -3*a + 24 - 3. Find the third derivative of -3*d**4 + 3*d**4 + 2*d**6 - 7*d**2 - a*d**6 wrt d.
-600*d**3
Let k(q) be the third derivative of 22*q**7/105 - 7*q**3/3 - 29*q**2. Differentiate k(f) with respect to f.
176*f**3
Let n(f) = -2*f + 6. Suppose -15 = 2*q - 5*q. Let w(y) = -3*y + 9. Let g(r) = q*w(r) - 7*n(r). Find the first derivative of g(j) wrt j.
-1
Suppose -4*s = 4*m - s - 37, s + 4 = m. Find the third derivative of m*r**3 - 11*r**3 - 4*r**2 + 1 - 1 wrt r.
-24
Let v = -1 - -2. Let t(c) = c**2 - c - 1. Let s(w) = 1 - 5*w - 3*w**3 - 6 + 6*w**2 + 0. Let g(k) = v*s(k) - 5*t(k). What is the third derivative of g(h) wrt h?
-18
Let c(g) be the second derivative of -g**2 - 3*g - 1/6*g**3 + 0. Differentiate c(y) with respect to y.
-1
Let h(v) be the second derivative of 1/20*v**5 + 0*v**3 + 0 + 0*v**4 - 7*v + 4*v**2. What is the first derivative of h(w) wrt w?
3*w**2
Let x = 69/130 - 2/65. Let v(w) be the first derivative of -x*w**4 + 0*w**2 - w**3 - 2 + 0*w. Find the third derivative of v(y) wrt y.
-12
Let n(q) be the second derivative of q**5/30 - 2*q**3/3 - 2*q**2 + 6*q. Let y(v) be the first derivative of n(v). What is the first derivative of y(j) wrt j?
4*j
Let p be 1 + (0 - 9/10). Let q(z) be the second derivative of p*z**6 + 2*z + 0 - 1/4*z**4 + 0*z**3 + 0*z**5 + 0*z**2. Find the third derivative of q(n) wrt n.
72*n
Let c(n) = n**3 + 2*n**2 - 4*n. Let j be c(-3). Suppose b + 3*l - 9 = -4*b, 0 = -5*b + l - j. Differentiate -3 + 0*z + b*z + 3*z**4 + 2 with respect to z.
12*z**3
Suppose -2*l = -5*t - 26, 3*l + 2*t = 7*t + 29. Find the second derivative of 4*a**2 + l*a - 5*a**2 + 0*a**2 wrt a.
-2
Let u(c) = 1 + c**3 + 6 + 6*c**3 + 7*c**2 - 1. Let f(x) = x**3 + x**2 + 1. Let w(l) = 6*f(l) - u(l). Find the third derivative of w(p) wrt p.
-6
Let l(n) be the third derivative of -n**7/210 - 7*n**3/6 - 17*n**2. Differentiate l(k) with respect to k.
-4*k**3
Let v = -1 - -4. Differentiate -f**2 - 2*f**2 + v*f**2 - 2 + f**2 wrt f.
2*f
Find the third derivative of 1 + 6*x**2 + 11*x**3 + 77*x**4 - 79*x**4 + 11*x**3 wrt x.
-48*x + 132
Let m(s) be the first derivative of -4*s**3/3 + 5*s + 9. What is the first derivative of m(q) wrt q?
-8*q
What is the derivative of -9 + 107*h**4 + 109*h**4 - 238*h**4 wrt h?
-88*h**3
Let y(r) = -r**2 + r**2 - 1 + 2*r - r**2 - 1. Let w(v) = 2*v**2 - 3*v + 2. Let n(d) = 2*w(d) + 3*y(d). Find the first derivative of n(h) wrt h.
2*h
Find the third derivative of -15*z**3 + 15*z**3 + 4*z**2 + 5*z**4 wrt z.
120*z
Let w = 10 + -6. Let f(n) = 7 + 0 - 1 + 2*n**3. Let a(x) = -1. Let p(v) = w*a(v) + f(v). Differentiate p(q) with respect to q.
6*q**2
Let j(v) be the third derivative of 0 + 0*v + 0*v**3 + 1/24*v**4 + v**2 + 1/60*v**5. What is the second derivative of j(s) wrt s?
2
What is the second derivative of -64*b**5 - 2*b + 67*b**5 + 8*b wrt b?
60*b**3
What is the second derivative of 3*p**4 + 6*p**4 + 15*p - 12*p**5 - 9*p**4 wrt p?
-240*p**3
Let x = -81 - -83. Let s(o) be the second derivative of 0*o**2 - x*o + 0 - 1/30*o**6 - 1/3*o**3 + 0*o**4 + 0*o**5. What is the second derivative of s(b) wrt b?
-12*b**2
Differentiate 3 + 1 - 3*q**4 + 1 - 5*q**4 wrt q.
-32*q**3
Suppose -4*x - 2 - 10 = 0. Let p(b) = 8*b**2 - 6*b - 3. Let v(q) = -16*q**2 + 13*q + 7. Let i(n) = x*v(n) - 7*p(n). Find the second derivative of i(d) wrt d.
-16
What is the derivative of 4*n**4 - n**4 + 5*n**4 - 3 wrt n?
32*n**3
What is the first derivative of -10*m**2 + 16 + 5 - 53 wrt m?
-20*m
Let a = -11 - -13. Differentiate -6 + 2 - 1 - a*r**4 wrt r.
-8*r**3
Let u(d) = -6*d**4 - 3*d**2 + 3*d - 20. Let i(c) = 13*c**4 + 5*c**2 - 5*c + 40. Let a(h) = -3*i(h) - 5*u(h). What i