 derivative of d(f) wrt f?
36*f**2
Find the third derivative of 27*x**5 - 13*x**2 + 7 - 4 - 2*x**6 - 6 wrt x.
-240*x**3 + 1620*x**2
Let t(r) be the third derivative of -r**7/210 + 13*r**6/30 + 361*r**3/6 + r**2 + 21. Differentiate t(k) wrt k.
-4*k**3 + 156*k**2
Let u be 8/(-10)*(-10)/4. What is the third derivative of -58*g**2 + 0*g**4 + 21*g**2 + g**4 + 27*g**u wrt g?
24*g
Let i(n) = 23*n**4 - 38*n**2 + 6*n. Let q(b) = -473 - 114*b**2 + 70*b**4 + 473 + 17*b. Let d(g) = 17*i(g) - 6*q(g). What is the third derivative of d(w) wrt w?
-696*w
What is the third derivative of 28*r**4 - 16*r**4 + 116*r**2 + 361*r**6 - 76*r**6 - 12*r**4 wrt r?
34200*r**3
What is the third derivative of 5*x**2 - 26 + 6*x**2 - 153*x**4 - 14*x**2 + 2*x**2 wrt x?
-3672*x
Let w(x) = 232*x**3 + 3*x**2 + 101*x + 14. Let u(o) = 234*o**3 + 3*o**2 + 102*o + 12. Let m(r) = 7*u(r) - 6*w(r). Find the third derivative of m(d) wrt d.
1476
Let f = -15 + 23. Suppose z = k + 4*z - f, 4*k + z = 21. Find the second derivative of -12*g**4 - 2*g - g + k*g wrt g.
-144*g**2
Suppose -w + 0 - 3 = 0. Let v be -2*(2 + w) + 2. What is the derivative of -3*f + 2 + v - 2 - 3 wrt f?
-3
Let p(m) = 139*m**3 - 4*m**2 + 29*m - 8. Let l(k) = 137*k**3 - 3*k**2 + 30*k - 6. Let f(y) = 4*l(y) - 3*p(y). Find the second derivative of f(s) wrt s.
786*s
Let d(x) = 148*x - 179. Let j(o) = 296*o - 361. Let w(t) = 5*d(t) - 2*j(t). What is the derivative of w(m) wrt m?
148
Let x(v) be the first derivative of 11/2*v**2 + 0*v - 1/3*v**3 - 8. Find the second derivative of x(p) wrt p.
-2
Suppose 5*l = 3*o - 41, -2*o - 3*l = o - 81. Find the second derivative of -781*n**3 - 28*n + 781*n**3 + n - o*n**4 wrt n.
-264*n**2
Let l(j) be the first derivative of 93*j**5/5 - j**3 + 72*j - 162. Differentiate l(f) with respect to f.
372*f**3 - 6*f
Let o = -6 + 45. Suppose 4*p - p - o = 0. What is the derivative of 18 - 5*m**2 - p - 3*m**2 wrt m?
-16*m
Let o = 2861 + -14297/5. Let t(i) be the first derivative of 0*i**4 + 13 + 0*i**2 - 4*i**3 + 0*i - o*i**5. What is the third derivative of t(d) wrt d?
-192*d
Let s = -19 + 21. What is the third derivative of 4*u**2 + 15*u**3 - s*u**2 + 0*u**2 - 6*u**3 wrt u?
54
Let u(t) be the third derivative of 233*t**5/60 - t**4/4 - t**3/2 - 200*t**2 - 2*t. What is the second derivative of u(s) wrt s?
466
Find the third derivative of -37*m**6 - m**2 + 3*m**6 - 6*m**2 - m**2 - m**3 wrt m.
-4080*m**3 - 6
Let l be (3 - -1)/(6/21). Find the first derivative of a**4 + 0*a**4 - 5*a**4 + l - 23 wrt a.
-16*a**3
Let z(b) be the first derivative of 25*b**4/4 + b**3 + 35*b**2 - 184. What is the second derivative of z(d) wrt d?
150*d + 6
Let f(g) be the third derivative of g**8/112 - 19*g**7/210 + 41*g**4/24 - g**3/6 + g**2 + 3. What is the second derivative of f(w) wrt w?
60*w**3 - 228*w**2
Let y(u) be the first derivative of u**3/6 - 3*u**2 - 9*u + 14. Let h(m) be the first derivative of y(m). What is the first derivative of h(b) wrt b?
1
Let s(a) be the third derivative of -3*a**7/14 - 73*a**3/6 + 93*a**2. Differentiate s(u) with respect to u.
-180*u**3
Let h(c) be the first derivative of 14*c**5/5 + c**4/2 + 5*c**2 - 13*c - 65. Find the second derivative of h(l) wrt l.
168*l**2 + 12*l
Let g(u) be the third derivative of -u**8/84 + u**6/20 + u**5/30 - 17*u**4/24 - 53*u**2. What is the third derivative of g(k) wrt k?
-240*k**2 + 36
Let r(f) = f**2 - 13*f - 44. Let t be r(16). What is the third derivative of -36*w**2 - 12*w**4 + 15*w**t - 28*w**4 wrt w?
-600*w
Let p(a) be the first derivative of -15*a**4/4 - a**3 - 321*a + 135. Find the first derivative of p(v) wrt v.
-45*v**2 - 6*v
What is the first derivative of -2317 - 2365 + 4328 - 167*v**3 wrt v?
-501*v**2
Suppose 0*o + 10*o = -4*o. Let v(n) be the third derivative of 5*n**2 + 7/60*n**5 + o*n**3 + 1/8*n**4 + 0 + 0*n. Find the second derivative of v(g) wrt g.
14
Let k(m) = m - 4. Let v be k(8). Find the first derivative of 7*s**v - 14 - 14 + 27 wrt s.
28*s**3
Let a(w) be the first derivative of 7*w**5 + 77*w**2/2 + 3*w + 85. Find the second derivative of a(b) wrt b.
420*b**2
Let q(p) = 6*p**3 - 5*p**2 + 5*p - 5. Let m(d) = 7*d**3 - 4*d**2 + 5*d - 4. Let u(y) = 3*m(y) - 4*q(y). Find the second derivative of u(r) wrt r.
-18*r + 16
Let s(x) be the first derivative of 0*x + 12 + 0*x**4 + 0*x**2 + 16/3*x**3 - 6/5*x**5. Find the third derivative of s(b) wrt b.
-144*b
Let a(c) be the first derivative of 11*c**7/840 - 5*c**4/8 + c**3 + 11. Let n(y) be the third derivative of a(y). What is the derivative of n(u) wrt u?
33*u**2
Suppose -591 = -c - 588. Let o(y) be the first derivative of 0*y - c + 5/3*y**3 + 3/2*y**2. Find the second derivative of o(x) wrt x.
10
Let i = -14 - -29. What is the second derivative of -19*q - i*q**5 + 1550*q**3 - 1550*q**3 wrt q?
-300*q**3
Suppose -3*i + 34 = 5*x, -4*x + 8 = -0. Let p = 10 - i. What is the third derivative of -5*g**4 - 6*g**p + 7*g**4 + 7*g**6 - 2*g**4 wrt g?
840*g**3
Let s(x) = -65*x**3 + 14*x**2 + 6*x + 307. Let z(o) = 2*o**2 + o + 1. Let u(r) = -s(r) + 6*z(r). Differentiate u(p) wrt p.
195*p**2 - 4*p
Suppose -570 = 4*l + 106. Let g be l/(-3) - 2/(-3). Find the third derivative of 27*v**6 + 29*v**6 + 5*v**2 - g*v**6 wrt v.
-120*v**3
Let h(v) be the second derivative of 5/3*v**4 + 0*v**2 + 0*v**3 + 27*v + 0 + 3/4*v**5. What is the third derivative of h(m) wrt m?
90
Let b(v) be the first derivative of 25*v**3/3 + v**2/2 + 83*v - 21. What is the first derivative of b(x) wrt x?
50*x + 1
Let c = 428 - 428. Let m(u) be the first derivative of 0*u + c*u**2 - u**3 + 6 + 5/4*u**4. What is the third derivative of m(d) wrt d?
30
Let k(z) be the second derivative of 0 - 1/2*z**2 + 0*z**3 - 7*z + 1/12*z**4. What is the first derivative of k(a) wrt a?
2*a
Suppose -6 = 2*k - 5*r, -3*k = r - 14 + 6. Find the third derivative of -8*m**2 - 3*m**2 + 8*m**3 + 17*m**k wrt m.
48
Let p(q) be the second derivative of -q**5/2 - q**4/6 - 8*q**3 - 92*q + 1. What is the third derivative of p(x) wrt x?
-60
What is the second derivative of 8*v - 13*v + 3*v - 45*v**4 - 25 wrt v?
-540*v**2
Suppose 5*n = -n + 18. Find the third derivative of -19*b**2 + n*b**2 + 7*b**4 + 8*b**4 wrt b.
360*b
Let w = 34 + -32. Find the third derivative of 2*t**2 + 9*t**2 - 3*t**5 + 4*t**w wrt t.
-180*t**2
What is the second derivative of 73*k**4 - k - 15 - 127*k**4 + 0*k wrt k?
-648*k**2
What is the third derivative of 12*t - 2*t**5 - 28*t**2 + 3*t + 25*t**2 - 6*t**5 wrt t?
-480*t**2
Let a(s) be the second derivative of 79*s**3/6 - 145*s**2 + 18*s + 3. What is the derivative of a(l) wrt l?
79
Let r(m) = 26*m + 234. Let f be r(-9). Let l(j) be the second derivative of 0 + f*j**2 - 2*j - 3/4*j**4 - j**3. What is the second derivative of l(y) wrt y?
-18
Let v(s) = -s**3 + 6*s**2 - 8*s + 3. Let r be v(3). Let i = 6 + -1. What is the second derivative of -i*y**5 + r*y + 3*y - 6*y**5 - y wrt y?
-220*y**3
Let o = 15 + -10. Suppose 19 + o = 2*m. What is the first derivative of 12*h**2 + 3*h**4 + 2*h**4 - m*h**2 + 3 wrt h?
20*h**3
Let c(f) be the second derivative of 0 + 8*f - 7*f**2 - 13/6*f**3. Find the first derivative of c(q) wrt q.
-13
Differentiate 397 + 67*u**2 - 12*u**2 - 241*u**3 - 55*u**2 with respect to u.
-723*u**2
Find the third derivative of u**2 + 34*u**4 + 24*u - 24*u + 15*u**4 + 20 wrt u.
1176*u
Let b(m) = 82*m**4 + m**3 - 29*m**2 - 8. Let y(l) = -82*l**4 - l**3 + 28*l**2 + 6. Let p(i) = -3*b(i) - 4*y(i). Find the third derivative of p(q) wrt q.
1968*q + 6
Let u be 0 + -5*2/(-5). Find the first derivative of 3 - u + c**3 - 13 - 4*c**3 wrt c.
-9*c**2
Let r be (972/30)/(-18)*10/(-6). Let o(n) be the third derivative of n**2 + 1/2*n**r + 0 + 0*n + 0*n**4 - 1/60*n**5. What is the derivative of o(b) wrt b?
-2*b
Suppose -5*n + 1232 = 4*c - 0*n, 5*n = -c + 293. What is the third derivative of -12*l**5 + 313*l - c*l + 21*l**2 wrt l?
-720*l**2
Let c(l) = 535*l**2 + 15*l - 5340. Let g(f) = -77*f**2 - 2*f + 763. Let x(i) = -2*c(i) - 15*g(i). Find the first derivative of x(w) wrt w.
170*w
Let j = -409 + 414. Let p(c) be the third derivative of 0*c**j + 5*c**2 + 1/3*c**3 - 1/210*c**7 + 0*c**6 + 0 + 0*c + 0*c**4. Differentiate p(x) wrt x.
-4*x**3
Let i be 0/(-2) + -1 + 3. Find the third derivative of -3749*k**3 + 3749*k**3 + 30*k**i - 17*k**6 wrt k.
-2040*k**3
Let y be 12