 - 4*p + 4, 2*b = 5*p + 18. Differentiate -4*i - 2*i + 6*i - b*i**3 - 12 with respect to i.
-12*i**2
Let z(k) be the second derivative of 21*k**5/5 - 97*k**4/6 + k**3/6 + k + 3. What is the third derivative of z(l) wrt l?
504
Let g(s) = 3*s - 27. Let l be g(11). What is the second derivative of 5*q**2 + l*q**2 + 3*q + 0*q wrt q?
22
Let g = 1029/2140 - 14/107. Let o(l) be the second derivative of 7*l + 0*l**4 + 0*l**3 - g*l**5 + l**2 + 0. What is the first derivative of o(a) wrt a?
-21*a**2
Let j be (0 - (-7 + 1))*1/2. Let n(d) = 7*d**3 - 3*d - 1. Let a(i) = -7*i**3 + 2*i + 1. Let p(v) = j*a(v) + 2*n(v). Differentiate p(f) with respect to f.
-21*f**2
Let k(f) = -18*f**3 - 5*f**2 + 31. Let h(i) = i**3 - i**2 - 2. Let v(j) = -6*h(j) + k(j). What is the first derivative of v(c) wrt c?
-72*c**2 + 2*c
Let g(l) be the second derivative of -116*l**3/3 + 83*l**2/2 - 121*l. What is the derivative of g(t) wrt t?
-232
Let z(p) be the second derivative of -p**7/42 + 8*p**5/5 + 149*p**3/6 + 168*p. What is the second derivative of z(f) wrt f?
-20*f**3 + 192*f
Suppose -15 = 4*k - 9*k. Let m = 186 - 182. What is the first derivative of -3 - 3 + 4 + k*f**m wrt f?
12*f**3
Let q(l) be the third derivative of -71*l**9/126 - l**6/120 - 116*l**5/15 + 86*l**2 + l. What is the third derivative of q(a) wrt a?
-34080*a**3 - 6
Let z(c) = -135*c**3 + 2*c - 86. Let l(i) = -i**3 - i - 1. Let a(p) = -2*l(p) - z(p). Find the first derivative of a(q) wrt q.
411*q**2
Let j(d) be the third derivative of -43/6*d**3 + 0*d**5 + 0*d**4 + 0*d**6 + 1/30*d**7 + 10*d**2 - 3 + 0*d. What is the first derivative of j(x) wrt x?
28*x**3
Let r(k) = k**3 - 9*k**2 - 11*k + 13. Let h be r(10). Find the second derivative of -9*p**5 + 6*p**3 + 18*p - 11*p**3 + 5*p**h wrt p.
-180*p**3
Let q = 739 + -77594/105. Let v(w) be the third derivative of 0*w**6 + 0*w**5 + 0*w**4 - 3*w**2 + q*w**7 + 1/6*w**3 + 0 + 0*w. Differentiate v(h) wrt h.
8*h**3
Suppose -4*u = -2*u - 6. Let d be 4/u + 6/(-18). Find the first derivative of d - n + 4*n - n wrt n.
2
What is the third derivative of 13*w**3 + 85*w**2 + 30*w**2 + 18*w + w**5 - 18*w wrt w?
60*w**2 + 78
Let w(l) be the first derivative of 4*l**7/7 - l**6/2 - 184*l**3/3 - 259. Find the third derivative of w(f) wrt f.
480*f**3 - 180*f**2
Let j(h) = -h**2 + 15*h - 5. Let v(t) be the first derivative of t**3/3 + t**2/2 - t - 8. Let y(l) = j(l) - 5*v(l). What is the second derivative of y(r) wrt r?
-12
Let a be 1/(1 - (-1)/(-2)). Differentiate a - 13*q + q - q + 3*q wrt q.
-10
What is the second derivative of 6*q - 14*q**2 + 1 - 3*q - 3 - 5 - q wrt q?
-28
Let r(t) = 21*t**3 - 5*t**2 + 5*t + 16. Let d(y) = -y**3 + 94 - y**2 - 94 + 4*y - 3*y. Let c(u) = -5*d(u) + r(u). What is the derivative of c(h) wrt h?
78*h**2
Let l(f) = -50*f - 289. Let k(x) = 50*x + 289. Let n(j) = 5*k(j) + 4*l(j). What is the first derivative of n(y) wrt y?
50
Let f(h) = -h**2 - h + 2. Let t(g) = -37*g**2 + g + 10. Let y(a) = 4*f(a) - t(a). What is the derivative of y(u) wrt u?
66*u - 5
Let j = 77 - 75. What is the second derivative of -j*k + k**2 + 3*k**2 - 10*k**2 wrt k?
-12
What is the derivative of -15*p**3 + 7*p**2 + 2*p**4 - 3*p**4 - 63 - 7*p**2 - 4*p**4 wrt p?
-20*p**3 - 45*p**2
Let n(r) be the first derivative of 0*r + 0*r**2 - 4/3*r**3 - 4/5*r**5 + 0*r**4 - 9. Find the third derivative of n(a) wrt a.
-96*a
Let q(w) be the first derivative of 3/2*w**2 + 0*w**4 + 0*w**5 + 5 - 8/3*w**6 + 0*w + 0*w**3. What is the second derivative of q(o) wrt o?
-320*o**3
Let p be 2 - ((2 - 1) + 4). Let w be 4 + (3 + p)/(-4). Differentiate -w*v + 3 - 3*v + 4*v wrt v.
-3
Let a(o) = o**3 - o**2 + o + 3. Let d be a(3). What is the second derivative of -d*s + 27 - 33*s**2 - 27 wrt s?
-66
Find the third derivative of -m**2 - 42*m**2 + 10*m**3 - 30*m**2 - 67*m**3 wrt m.
-342
Let u be (-52)/(-14) + ((-133)/49 - -3). Find the second derivative of -12*t**2 + u*t**2 + 8*t**2 - 9*t**3 - 23*t wrt t.
-54*t
Let x(z) be the second derivative of 19*z**7/14 - 2*z**4 + 4*z**2 + 445*z. Find the third derivative of x(y) wrt y.
3420*y**2
Let z(l) = -l - 1. Let a = 8 - 12. Let y(w) = 5*w**3 - 2*w + 4. Let q(h) = a*z(h) - y(h). Find the second derivative of q(g) wrt g.
-30*g
Suppose -13 = i - 42. What is the third derivative of -16*v**4 + 15*v**2 + 16*v**4 + 21*v**2 - i*v**5 wrt v?
-1740*v**2
Let z(d) = -43*d**4 + 3*d**3 + 3*d**2 - 3*d + 116. Let j(u) = -44*u**4 + 2*u**3 + 2*u**2 - 2*u + 115. Let f(s) = 3*j(s) - 2*z(s). Differentiate f(k) wrt k.
-184*k**3
Let a = 13 - 5. Let h be (-18)/a*(-20)/15. What is the second derivative of -p**4 + 2*p + 0*p - 7*p + h*p**4 wrt p?
24*p**2
Let u(i) be the first derivative of i**2/2 + 9*i - 5. Let j be u(-4). What is the second derivative of 0*d**2 + 0*d**2 - 5*d + j*d**5 + 6*d wrt d?
100*d**3
Let t(q) = -q - 38. Let l = 93 + -85. Let g(a) = -2*a - 114. Let m(c) = l*t(c) - 3*g(c). Find the first derivative of m(r) wrt r.
-2
Suppose -k + c = 5 + 2, 0 = -5*c + 5. Let m = k + 9. Find the second derivative of -4*n**m - n - n + n wrt n.
-24*n
Let p(q) be the second derivative of -q**6/15 + 53*q**5/10 - 25*q**4/12 - 3*q**2/2 + 127*q. What is the third derivative of p(t) wrt t?
-48*t + 636
Let c(d) be the first derivative of -d**8/210 + 11*d**6/360 - 20*d**3/3 + 21. Let r(i) be the third derivative of c(i). Find the third derivative of r(n) wrt n.
-192*n
Let w(o) = -24*o**3 + 3*o**2 + 128. Let z(t) = t**3 + t**2 - 1. Let v(g) = w(g) - 3*z(g). Differentiate v(r) with respect to r.
-81*r**2
Let m(t) be the first derivative of -19/6*t**6 - 11*t**2 + 0*t**3 - 28 + 0*t**4 + 0*t**5 + 0*t. Find the second derivative of m(r) wrt r.
-380*r**3
Let q(g) be the first derivative of 4*g**7/21 + 5*g**4/3 - 35*g - 26. Let s(u) be the first derivative of q(u). Find the third derivative of s(v) wrt v.
480*v**2
Let p be (6/(-1))/((-8)/16). Find the second derivative of 17*h - 5*h**4 + 17*h - 8*h**4 - p*h**4 wrt h.
-300*h**2
Let z = -16 - -18. Differentiate -3*b + 5*b - 2 + z*b**2 - 2*b wrt b.
4*b
Let v(s) be the first derivative of 113*s**4/2 + 183*s - 375. Differentiate v(c) with respect to c.
678*c**2
Suppose 10*i + 20*i = 0. Let m(p) be the third derivative of 1/6*p**4 - 1/12*p**5 + 0 + 0*p - 11*p**2 + i*p**3. Find the second derivative of m(t) wrt t.
-10
What is the third derivative of 1069*k**6 - 1039*k**6 - 120*k**2 - 14*k**2 wrt k?
3600*k**3
Suppose -v + 5*z = -2, 3*z = v - 0*z - 2. Find the third derivative of 13*r**3 - r**v - 3*r**2 - 2*r**2 - 22*r**3 wrt r.
-54
Let m = 14 - 9. Suppose 4*n = 2*a + 12, a - 5*n - 8 = -23. Find the third derivative of 2 - 11*t**5 - m*t**2 + a - 2 wrt t.
-660*t**2
Find the third derivative of 3*k**3 - 4*k**4 - 12*k**2 + 31*k**2 + 6*k**3 wrt k.
-96*k + 54
Let h(j) be the second derivative of -j**8/28 - 2*j**7/21 + 9*j**4/2 - j**3/3 - 436*j. What is the third derivative of h(n) wrt n?
-240*n**3 - 240*n**2
Let j(x) be the first derivative of -19*x**10/5040 - x**6/90 - 5*x**3 - 5. Let v(z) be the third derivative of j(z). What is the third derivative of v(o) wrt o?
-2280*o**3
Let h(s) be the second derivative of 229*s**4/4 - 34*s**3/3 - s**2/2 + 3*s + 128. What is the second derivative of h(n) wrt n?
1374
Suppose -50 = 11*l - 10*l. Let p be (-40)/l*(-5)/(-2). What is the third derivative of -3*f**2 + f - f + p*f**6 + 2*f**6 wrt f?
480*f**3
Let n(q) be the second derivative of q**5/20 - 85*q**4/12 - q**3 + 4*q**2 + q + 15. What is the second derivative of n(u) wrt u?
6*u - 170
Let n(t) = -14*t + 70. Let f be n(5). What is the third derivative of f*s**3 - 51*s**3 + 93*s**3 - 37*s**2 + 3*s**3 wrt s?
270
Let y(r) be the second derivative of -437*r**8/56 + 3*r**4 + r**3/6 - 259*r. Find the third derivative of y(p) wrt p.
-52440*p**3
Let j be 7/4 - (-5)/20. Suppose 0 = j*h - h - 14. What is the derivative of -h - 6*x**2 + 9 + 1 wrt x?
-12*x
Let q(v) be the second derivative of v**7/14 + 4*v**6/15 - 7*v**4/4 + 21*v + 2. What is the third derivative of q(w) wrt w?
180*w**2 + 192*w
Let x(k) be the second derivative of 13*k**5/5 + 5*k**4/12 - 11*k**3/6 + k - 13. What is the third derivative of x(a) wrt a?
312
Let l(y) = -y**3 - 5*y**2 - 4*y - 11. Let i be l(-6). Find the second derivative of -i*m + 2 - 2 + 44*m + 41*m**3 wrt m.
246*m
Let r(q) be the first derivative of -11*q**3/3 + 45*q