e third derivative of l(r) wrt r.
-240*r**3
Suppose -3 = y + 2. Let i(p) = -3*p**2 + 6*p + 8. Let t(a) = -2*a**2 + 5*a + 7. Let k(r) = y*i(r) + 6*t(r). What is the first derivative of k(b) wrt b?
6*b
Let k(a) be the first derivative of -33*a**4/4 + 23*a**2/2 + 23. Find the second derivative of k(m) wrt m.
-198*m
Let r be (2*(-2)/3)/(-70). Let d(h) be the third derivative of r*h**7 + 2/3*h**3 + 0*h**6 + 0*h**4 + 0*h - 3*h**2 + 0*h**5 + 0. Differentiate d(g) wrt g.
16*g**3
Let h(x) be the third derivative of -x**9/126 - x**5/30 - 8*x**2. Find the third derivative of h(r) wrt r.
-480*r**3
What is the second derivative of 23*o - 7*o**3 - 14*o - o**3 wrt o?
-48*o
Suppose -8*r = -3*r. Suppose -5*d + 3*d = -2*a + 6, d - 5*a + 23 = r. Find the third derivative of 3*u + u**2 + u**3 - u - d*u wrt u.
6
Let y = 18 - 16. Find the third derivative of 4*j**y - 4*j**5 + j**2 - 6*j**2 - j**5 wrt j.
-300*j**2
Let k = 2 + -2. Suppose -4 = -2*s - k. What is the derivative of 0*z + 0*z - 2 - s*z wrt z?
-2
Let b(j) be the third derivative of -j**8/5040 + j**6/360 - j**5/15 + 3*j**2. Let z(g) be the third derivative of b(g). Differentiate z(o) with respect to o.
-8*o
Let d(s) be the second derivative of 0 + 1/4*s**4 + 0*s**2 + 3*s + 1/2*s**3. Find the second derivative of d(i) wrt i.
6
Suppose -3 = -3*v + 12. Let t(o) be the third derivative of 0*o**4 + 0*o**v + 0*o + 0 - 1/60*o**6 + o**2 + 2/3*o**3. What is the first derivative of t(n) wrt n?
-6*n**2
Differentiate 38*i**3 - 21*i**3 + 41 + 34*i**3 with respect to i.
153*i**2
Find the second derivative of -16*t + 27*t - 8*t**2 - 5*t**2 wrt t.
-26
Find the third derivative of -13*v**6 - 32*v**2 - 6*v**6 + 13*v**2 - 13*v**2 wrt v.
-2280*v**3
Suppose 152 = -0*h + 2*h. What is the second derivative of -4*l**3 - 76*l**2 + h*l**2 + l wrt l?
-24*l
What is the second derivative of -121*s**4 + s + 121*s**4 + 10*s**5 + 17*s wrt s?
200*s**3
Let u(k) be the second derivative of k**5/60 - k**4/12 - 2*k**2 + 4*k. Let s(c) be the first derivative of u(c). What is the second derivative of s(l) wrt l?
2
Let b(v) be the second derivative of -3*v + 1/6*v**3 + v**2 + 0. What is the first derivative of b(i) wrt i?
1
Let b be ((-3)/1)/(4 + -24). Let a(i) be the second derivative of -b*i**5 + 0*i**2 - 1/2*i**3 + 0*i**4 - 2*i + 0. Find the second derivative of a(m) wrt m.
-18*m
What is the third derivative of 9*q**2 - 11*q**3 + 0*q**3 + 3*q**2 + 0*q**2 wrt q?
-66
Let l be -2*(0 - (-26)/(-4)). Differentiate 5 + 205*o**4 - 206*o**4 - l wrt o.
-4*o**3
Let v(w) = -6 - 9 + 13 - 5*w + 2*w**2. Let g(j) = j**2 + j + 1. Let k(s) = 2*g(s) + v(s). What is the second derivative of k(z) wrt z?
8
Let w be (6/(-1))/2 + 6. What is the derivative of -a**3 + 5*a**4 - a**w + 2*a**3 - 1 wrt a?
20*a**3
Suppose g + 2*g = 6. What is the second derivative of -q - 3*q**2 + g*q**2 - q wrt q?
-2
Let k(a) be the second derivative of -4*a**5/5 - 25*a**2/2 + 4*a. Differentiate k(c) with respect to c.
-48*c**2
Suppose 22 = -5*f - 3, 3*f = 5*w - 40. Let v be (-46)/(-14) - 4/14. What is the second derivative of -6*k + k**w - 4*k**5 + 2*k + v*k wrt k?
-60*k**3
What is the second derivative of 38*l + 28*l**5 + 34*l - 42*l wrt l?
560*l**3
Let m(c) = -8*c**2 - 21*c + 4. Let s(f) = -9*f**2 - 22*f + 3. Let i(l) = 3*m(l) - 4*s(l). Find the second derivative of i(h) wrt h.
24
Let t(g) = 53*g**2 + 8*g - 3. Let q(c) = 690*c**2 + 105*c - 40. Let w(z) = 3*q(z) - 40*t(z). Find the second derivative of w(l) wrt l.
-100
Suppose 0 = g + n, 4*g - 16 = n + 3*n. Let h = 13 + -8. Differentiate m + h*m - 3*m - 1 - g*m with respect to m.
1
Let v(r) = r - 2. Let x be v(4). What is the third derivative of -x*u**2 + u**2 + 14*u**6 - u**2 - 16*u**6 wrt u?
-240*u**3
Let n = -6 - -11. What is the second derivative of 8*m + 5*m**2 - n*m - 7*m wrt m?
10
Let k(b) be the second derivative of 0 + 3*b - 1/12*b**4 + 0*b**5 + 0*b**6 + 0*b**2 - 1/21*b**7 + 0*b**3. What is the third derivative of k(x) wrt x?
-120*x**2
Let u(q) be the third derivative of -1/3*q**3 + q**2 + 0 + 1/6*q**4 + 0*q. What is the first derivative of u(p) wrt p?
4
Let z = -10 + 14. Let b(d) be the first derivative of 0*d - d**3 + 2 + 0*d**6 + 0*d**z + 0*d**5 - 2/7*d**7 + 0*d**2. What is the third derivative of b(w) wrt w?
-240*w**3
Let z(q) = 21*q**5 - q**2 + 3*q. Let h(v) = -22*v**5 - 4*v. Let g(j) = -3*h(j) - 4*z(j). Find the third derivative of g(k) wrt k.
-1080*k**2
Let z(q) = -32*q**2 - 12*q - 292. Let k(y) = 13*y**2 + 5*y + 117. Let a(b) = -12*k(b) - 5*z(b). What is the derivative of a(f) wrt f?
8*f
Suppose -2 = -4*f + 14. Let b(h) = h**2 - 5*h + 5. Let w be b(4). Differentiate -w - 3*s + f*s - 3*s wrt s.
-2
Suppose -3*q - 13 = 2*j - 0*j, 3*q = -4*j - 35. Let w = -9 - j. Find the first derivative of -2*l + 2*l + 2*l**w - 1 + 2 wrt l.
4*l
Let k = -1 - -3. What is the second derivative of -d**5 - d + 2*d**5 - k*d + 0*d wrt d?
20*d**3
Let u(t) be the first derivative of t + 0*t**3 + 0*t**4 + 0*t**2 + 2/5*t**5 + 2. Differentiate u(p) wrt p.
8*p**3
Let i(o) = o**2 - 10*o - 9. Let x be i(11). Find the second derivative of 6*k**2 - 2*k**4 + 4*k**4 + k - 6*k**x wrt k.
24*k**2
Let m = -4 - -4. Differentiate 0 - 2 + m + d**2 + 0 wrt d.
2*d
Let i(m) = -3*m**3 - 2*m**2 + 1. Let p(u) = -15*u**3 - 11*u**2 + 4. Let k = 4 - -2. Let j(d) = k*p(d) - 33*i(d). What is the first derivative of j(l) wrt l?
27*l**2
Let m(a) be the second derivative of a**6/20 - 5*a**4/24 - 5*a**2/2 - 2*a. Let u(r) be the first derivative of m(r). Find the second derivative of u(d) wrt d.
36*d
Let u = 642/5 + -128. Let o(t) be the first derivative of 0*t**3 - 2*t + 0*t**4 + 1 + 0*t**2 - u*t**5. Differentiate o(s) with respect to s.
-8*s**3
Find the first derivative of -4 + 2 + 6 - 2*y wrt y.
-2
Let t = -2 + 4. Find the second derivative of -3*m + 6*m + t*m**3 + 4*m**2 - 4*m**2 wrt m.
12*m
Let l(c) be the second derivative of 3*c**6/2 + 45*c**2/2 - 46*c. Find the first derivative of l(v) wrt v.
180*v**3
Let k(d) = -5*d**4 - 4*d**3 - 4*d**2 - 4*d. Let v(a) = -6*a**4 - 5*a**3 - 3*a**2 - 5*a. Let q(s) = 5*k(s) - 4*v(s). What is the third derivative of q(j) wrt j?
-24*j
Find the third derivative of 0*p**2 + 7*p**2 - 12*p**3 - p**3 - 4*p**3 wrt p.
-102
What is the first derivative of m + 163 - m - 165 + 43*m**2 wrt m?
86*m
Let v(z) be the third derivative of 0 + 11/210*z**7 + 0*z**6 + 1/12*z**5 + 0*z + 0*z**4 + 0*z**3 - 5*z**2. What is the third derivative of v(h) wrt h?
264*h
Let z(t) = t**5 - t**4 - t**3. Let k(n) = 26*n**5 - 3*n**4 - 3*n**3 - 19*n**2. Let a(j) = k(j) - 3*z(j). What is the third derivative of a(h) wrt h?
1380*h**2
Let m = 2 - 5. Let f be (-168)/(-9) - (-2)/m. What is the second derivative of -a + f - 2*a**3 - 18 wrt a?
-12*a
Suppose 5 = 4*y - 27. Differentiate -5 + y - 3*w + 6*w with respect to w.
3
Let v(c) be the second derivative of 3*c + 0*c**2 + 0 + 1/4*c**4 + 1/6*c**3. What is the second derivative of v(g) wrt g?
6
What is the third derivative of 3*v**3 + 7*v**2 + 21*v**3 - 5*v**3 + 8*v**2 wrt v?
114
Let r(l) = 5*l**3 + 5*l - 3. Let z(t) = -5*t**3 - 4*t + 4. Let c(f) = 4*r(f) + 5*z(f). What is the derivative of c(x) wrt x?
-15*x**2
Let x(p) = 2*p + 12. Let o be x(-8). Let s be -4 - 4/(-2) - o. Find the third derivative of 0*k**4 + 3*k**s - 2*k**6 + 0*k**4 wrt k.
-240*k**3
Let t(b) be the second derivative of 2*b**5/5 + 5*b**4/4 + 18*b. What is the third derivative of t(m) wrt m?
48
Suppose -2*b + 0*l = 2*l + 2, -3*l - 9 = -3*b. Suppose -2*w - b + 9 = 0. Differentiate -3 + 6 + r**w + r**3 - r**3 with respect to r.
4*r**3
Find the first derivative of -64 + 14*d**4 - 971*d**2 + 971*d**2 wrt d.
56*d**3
Let c(n) be the second derivative of -n**4/3 + 2*n**3/3 - 13*n. Find the second derivative of c(j) wrt j.
-8
Let s be 6/3 + 0/2. Find the third derivative of 2*m**4 - 2*m**6 + 4*m**6 - m**2 - s*m**4 wrt m.
240*m**3
What is the third derivative of -j**2 + 5*j**2 + 44*j**3 + 4*j**2 wrt j?
264
Let z(s) = 7*s**3 + 6*s + 12. Let a(v) = 6*v**3 + 5*v + 11. Suppose 2*w + 4 - 14 = 0. Let m(x) = w*z(x) - 6*a(x). Differentiate m(f) wrt f.
-3*f**2
Let j(i) be the third derivative of i**7/105 + i**4 - 20*i**2. What is the second derivative of j(c) wrt c?
24*c**2
Let b(d) = -d**2 - 7*d + 3. Let a = 16 - 23. Let l be b(a). What is the second derivative of 6*q**2 - l*q -