 What is the second derivative of b*h + 19*h**3 - 89 + 89 - 8*h wrt h?
114*h
Let p(v) = -19*v**4 - 4*v**3 - 21. Let a be (60/(-8) - -6)*-3*2. Let l(t) = 37*t**4 + 9*t**3 + 42. Let o(w) = a*p(w) + 4*l(w). Differentiate o(m) wrt m.
-92*m**3
Let o(h) = -h - 4. Let a be o(2). Let t be (-96)/(-18) - (-8)/a. Find the third derivative of -51*v**3 + 0*v**2 + 53*v**3 - t*v**2 wrt v.
12
Let i(d) = 316*d**2 - 343. Let f(j) = 645*j**2 - 686. Let r(x) = -2*f(x) + 5*i(x). What is the first derivative of r(h) wrt h?
580*h
Let t = 37 - 33. Differentiate -24 - 35*j + 42*j - j**2 + t wrt j.
-2*j + 7
Let r be 30/8 - (315/(-20))/(-21). Let j(z) be the third derivative of -r*z**2 + 0 + 1/6*z**4 + 0*z - 5/3*z**3. What is the derivative of j(i) wrt i?
4
Let w(t) = -1. Let i(z) = 4. Let n(h) = i(h) + 5*w(h). Let f(s) = -12*s**4 - 16. Let r(y) = -f(y) + 3*n(y). Differentiate r(v) wrt v.
48*v**3
Let a(y) = -y**3 - 6*y**2 - 2*y - 9. Let h be a(-6). Let r be (-3)/(0 + h)*0. What is the third derivative of -6*f**4 + 4*f**4 - 2*f**4 + r*f**2 - f**2 wrt f?
-96*f
Let t = 28 - 18. What is the third derivative of 11*a**2 + t*a**2 - 13*a**6 - 15*a**2 wrt a?
-1560*a**3
Find the third derivative of 4*h + 2*h + 65*h**5 - 95*h**5 - 6*h + h**2 - 152 + h**6 wrt h.
120*h**3 - 1800*h**2
Let w(d) = 133*d**2 - 3*d + 49. Let y(i) = -267*i**2 + 5*i - 99. Let q(t) = -5*w(t) - 3*y(t). What is the derivative of q(m) wrt m?
272*m
Differentiate 241 + 204*i**2 + 215*i**2 + 29*i**4 - 411*i**2 with respect to i.
116*i**3 + 16*i
Let r(w) be the third derivative of -51*w**8/56 + 119*w**5/10 + 45*w**2. What is the third derivative of r(c) wrt c?
-18360*c**2
Let o(f) be the first derivative of 19/3*f**3 + 0*f**4 + 0*f**6 + 3/7*f**7 + 0*f - 2 + 0*f**5 + 0*f**2. Find the third derivative of o(c) wrt c.
360*c**3
Let i = 7 - -7. Let m be i/77 + 20/11. What is the second derivative of s - 6*s**2 + 8*s**2 + 5*s**m wrt s?
14
Let t(h) be the second derivative of 493*h**5/20 - 59*h**3 + 344*h. Find the second derivative of t(a) wrt a.
2958*a
Let h be 5*(3/10)/((-48)/(-64)). Suppose -a - a - 21 = 5*w, 3*a + w = 1. Find the third derivative of -8*x**3 + 0*x**h + 0*x**2 - 7*x**a wrt x.
-48
Let j(t) be the third derivative of -41*t**6/6 - 23*t**5/30 - t**2 - 25. Find the third derivative of j(k) wrt k.
-4920
Let m(w) be the second derivative of -5*w**8/56 - 7*w**5/10 - 83*w**4/6 - 59*w. Find the third derivative of m(o) wrt o.
-600*o**3 - 84
Find the first derivative of 36 + 13*h**3 + 169*h**3 + 13*h**3 + 226 + 28*h**3 wrt h.
669*h**2
Let o = -10 - -3. Let r = o + 14. What is the first derivative of -13*g**2 - 9 - r*g**2 + 14*g**2 wrt g?
-12*g
Let l(w) be the second derivative of -17*w**5/5 - 16*w**3/3 + 16*w. Find the second derivative of l(c) wrt c.
-408*c
What is the third derivative of 1285*r**2 - 42*r**6 - 1256*r**2 - 1 - 24*r**6 wrt r?
-7920*r**3
Let v(a) = -9*a**2 - 22*a - 111. Let c(n) = -20*n**2 - 43*n - 223. Let d(j) = -6*c(j) + 13*v(j). What is the first derivative of d(h) wrt h?
6*h - 28
Let d be (-6 - -5) + 8/(-2). Let a(l) = l**2 + 6*l + 7. Let y be a(d). What is the derivative of 0 + y - 4 - r**4 wrt r?
-4*r**3
Let v be 5 - -1 - (1 + -1). Find the third derivative of 4*r**2 + 3*r**2 + 5*r**6 - 4*r**2 - 11*r**v wrt r.
-720*r**3
Let x(n) be the third derivative of 0 + 0*n + 11*n**2 - 1/12*n**5 + 0*n**4 + 6*n**3. What is the derivative of x(v) wrt v?
-10*v
Let a(w) = 47*w**2 + 29. Let p(f) = 1. Let x(y) = y**2 - 17*y + 1. Let b be x(17). Let h(m) = b*a(m) - 2*p(m). What is the first derivative of h(q) wrt q?
94*q
Let l(h) = 20*h**4 - 9*h**3 - 4*h**2 - 4*h - 33. Let r(m) = 19*m**4 - 7*m**3 - 3*m**2 - 3*m - 33. Let q(f) = 3*l(f) - 4*r(f). Differentiate q(b) wrt b.
-64*b**3 + 3*b**2
Let b(m) = -m**2 - 9*m - 5. Let s be b(-7). Let r be 2/(-9) - (-20)/s. Find the second derivative of -r*d - 4*d**4 - d + 2*d - 8*d wrt d.
-48*d**2
Let t(r) be the second derivative of 2*r**6/45 - r**5/24 - 5*r**3/2 + 16*r. Let d(k) be the second derivative of t(k). Find the second derivative of d(n) wrt n.
32
Find the third derivative of 35*x**4 - 21*x + 10*x**4 + 3*x**3 - 2*x**3 + x**2 wrt x.
1080*x + 6
Let r be 1/2*-2*-12. Find the first derivative of -161 + 139 + r*y**2 + 11*y**2 wrt y.
46*y
Let j be (-55)/30 - 1/6. Let a(v) = 3*v - 6. Let h(l) = -2*l + 3. Let b(o) = j*a(o) - 5*h(o). What is the derivative of b(u) wrt u?
4
Let q = 69 - 63. Find the third derivative of 15*c**2 - 79*c + 6*c**q + 79*c - 19*c**6 wrt c.
-1560*c**3
Let w = -41 + 44. What is the second derivative of 20*g**w - 12*g - 12*g**3 - 14*g**3 wrt g?
-36*g
Suppose 0 = -12*j + 7*j + 10. What is the third derivative of 2*q**5 + 738*q**6 - 722*q**6 - j*q**5 - 19*q**2 wrt q?
1920*q**3
Let f(n) = 155*n + 67. Let j(y) = 78*y + 34. Let h(l) = 3*f(l) - 5*j(l). Differentiate h(v) with respect to v.
75
Let d(l) be the third derivative of 43*l**6/40 - 67*l**5/20 - 407*l**2. Find the third derivative of d(r) wrt r.
774
Let z(o) = -11*o**4 - 5*o**3 + 5*o**2 - 353. Let i(t) = 6*t**4 + 2*t**3 - 2*t**2 + 177. Let h(x) = -5*i(x) - 2*z(x). Find the first derivative of h(d) wrt d.
-32*d**3
Let d(a) be the first derivative of a**7 - 11*a**6/3 - 226*a**3 + 448. Find the third derivative of d(q) wrt q.
840*q**3 - 1320*q**2
Let k be 48/(-1)*6/(-12). What is the first derivative of 51*r**4 - k*r**4 + 13 - 37*r**4 wrt r?
-40*r**3
Let k be ((-22)/(-18) - (-14)/(-63))*2. Find the third derivative of 9*a**2 - a**4 - 5*a**4 + 3*a**k + 2*a**4 wrt a.
-96*a
Let t(d) be the first derivative of -17*d**3/3 - d**2 + 61*d + 10. What is the derivative of t(b) wrt b?
-34*b - 2
Suppose 0*n - 6 = -3*n. Suppose 0 = 3*i - 5*u + 2 - 3, 0 = i + 3*u - 5. What is the second derivative of -j**i - 4*j - 2*j**n + 5*j**2 + 0*j**2 wrt j?
4
Let o(v) be the third derivative of v**8/336 + v**7/105 - v**4/24 + 25*v**3/3 - 9*v**2. What is the second derivative of o(p) wrt p?
20*p**3 + 24*p**2
Let m(r) = 5*r**2 - r - 4. Let w be m(3). Let x = w - 10. Find the third derivative of -x + 2*a**2 + 28 - 4*a**5 wrt a.
-240*a**2
Suppose 4*c - l - 1937 = 1560, l = -5*c + 4369. What is the third derivative of -c*i**3 + 874*i**3 - 9*i**2 - 18*i**5 wrt i?
-1080*i**2
Let l(u) = -u**4 + u**3 + 1. Let b(d) = 62*d**4 - 14*d**3 - 18*d - 14. Let k(o) = 2*b(o) + 28*l(o). What is the second derivative of k(t) wrt t?
1152*t**2
Let f(g) be the second derivative of 6*g - 1 + 23/30*g**6 + 0*g**5 + 0*g**4 + 0*g**3 + 1/2*g**2. Find the first derivative of f(d) wrt d.
92*d**3
Let i be 375/30*(-6)/(-5). What is the first derivative of 3*o**2 - i*o**2 + 3*o**2 - 9 wrt o?
-18*o
Let s = 20 + -18. What is the derivative of s*g**2 - 10*g**2 - 24*g**2 + 36 wrt g?
-64*g
Let a(w) = -100*w**2 - w + 216. Let s(j) = -399*j**2 - 4*j + 864. Let m(c) = -9*a(c) + 2*s(c). Differentiate m(o) wrt o.
204*o + 1
Let x(r) be the first derivative of -r**7/420 + r**5/12 - r**3 - 5. Let q(j) be the third derivative of x(j). What is the second derivative of q(y) wrt y?
-12*y
What is the second derivative of -24*y**3 - 159*y - 165*y + 1 + 292*y wrt y?
-144*y
What is the third derivative of 335*w**2 + 5*w**6 - 3*w**3 - 2*w**6 - 45*w**2 wrt w?
360*w**3 - 18
Let s(m) = -106*m**2 - 111*m. Let u(r) = -107*r**2 - 113*r. Let w(i) = -4*s(i) + 3*u(i). Find the second derivative of w(d) wrt d.
206
Differentiate 14 - 49 + 10*n + 152 - 12 with respect to n.
10
Let j(b) = 3*b**2 - 7*b + 6. Let n be j(2). Find the second derivative of 17*o + 15*o**5 + 3*o**4 - 3*o**n wrt o.
300*o**3
Let v(m) = 6*m**2 + 2*m - 2. Let a be v(1). What is the derivative of -a + 7 + 17 - 13*x**2 - 5*x**2 wrt x?
-36*x
Let j = 9 - 0. What is the second derivative of 14*s - 35*s**5 - j*s + 41*s**5 + 9*s wrt s?
120*s**3
Let t(a) = -19*a**4 - 3*a**2. Let w(j) = 1 + 0 - 9*j**4 - 1 - j**2. Let q(k) = -2*t(k) + 5*w(k). Find the third derivative of q(g) wrt g.
-168*g
Let h(t) be the second derivative of 2/3*t**4 + 0*t**7 + 0*t**3 + 0*t**6 - 11*t + 0*t**5 + 0*t**2 - 13/56*t**8 + 0. Find the third derivative of h(q) wrt q.
-1560*q**3
What is the third derivative of 75*h**5 - 34*h**5 - 19 - 13*h**2 + 11*h**2 wrt h?
2460*h**2
Let r(c) be the first derivative of -40*c**3/3 + 23*c**2 + c - 1. Find the second derivative of r(u) wrt u.
-80
Differentiate 230*b + 24*b + 126 - 21 wrt b.
254
Let d(l) = 6*l**4 - 3*l**3 +