- 3*w**3 - n*w**3 + 10*w**3 - 6*w**2 wrt w.
78
Let k(f) be the third derivative of -359*f**9/504 - f**8/336 - 311*f**5/30 + 142*f**2 + 2*f. What is the third derivative of k(s) wrt s?
-43080*s**3 - 60*s**2
Let v(n) = -83*n**3 + 4*n**2 - 8*n + 49. Let s(u) = 82*u**3 - 5*u**2 + 10*u - 48. Let r(k) = -4*s(k) - 5*v(k). Differentiate r(o) with respect to o.
261*o**2
Let w(c) be the third derivative of 0*c**3 + 0*c**7 + 0*c**4 + 7/60*c**5 + 11/336*c**8 - 10*c**2 + 0 + 0*c**6 + 0*c. What is the third derivative of w(v) wrt v?
660*v**2
Find the third derivative of 8453 + 3*v**6 - 8453 + 13*v**5 - 97*v**5 + 272*v**2 wrt v.
360*v**3 - 5040*v**2
Let q = 35 - 32. Find the third derivative of -a**3 - a**3 - a**2 - 9*a**q wrt a.
-66
Let p(i) be the second derivative of -65*i**8/56 - 2*i**4 - 3*i + 2. Find the third derivative of p(c) wrt c.
-7800*c**3
Suppose 0 = -4*p - 4*q + 92, -2*p - p - 2*q + 72 = 0. Find the second derivative of 6*c - 40*c - p*c**5 + 4*c**2 - 4*c**2 wrt c.
-520*c**3
What is the second derivative of -57*a - 21*a**5 - 89*a + 67*a**5 + 24*a wrt a?
920*a**3
Let r(a) be the first derivative of -72*a**5/5 - a**2/2 + 11*a - 89. Find the second derivative of r(g) wrt g.
-864*g**2
Let m(y) = 7*y**3 + 481*y - 9. Let x(d) = -9*d**3 - 480*d + 8. Let c(j) = -8*m(j) - 9*x(j). What is the second derivative of c(z) wrt z?
150*z
Let i(k) be the second derivative of -k**3 + 25*k**2/2 - 31*k. Differentiate i(u) with respect to u.
-6
Let x(s) be the third derivative of -s**10/21600 + s**6/60 - s**5/15 + 6*s**2. Let p(o) be the third derivative of x(o). Differentiate p(j) with respect to j.
-28*j**3
Let q(i) be the first derivative of 53*i**6/3 - 155*i**3/3 - 2*i - 355. What is the third derivative of q(x) wrt x?
6360*x**2
Let r(z) be the third derivative of z**6/120 - z**4/2 + 481*z**3/6 - 3*z**2 - 61. What is the derivative of r(y) wrt y?
3*y**2 - 12
Let o(h) = 52*h**3 + 37*h + 7. Suppose 2*q = 122 - 108. Let s(m) = 35*m**3 + 25*m + 5. Let c(y) = q*s(y) - 5*o(y). Find the second derivative of c(i) wrt i.
-90*i
Suppose -21*w = -10*w. Let f(h) be the third derivative of w*h**4 + 0*h + 1/30*h**5 - h**3 + h**2 + 0. Find the first derivative of f(t) wrt t.
4*t
Let d(n) be the third derivative of -n**8/1344 + n**6/24 - 5*n**5/12 + n**2. Let f(a) be the third derivative of d(a). Find the first derivative of f(i) wrt i.
-30*i
Suppose -y = -5 + 3. What is the first derivative of -10*w**y - 13*w**2 + 14 + 5*w**2 wrt w?
-36*w
Suppose -3*p = 2*p - 135. Suppose 3*u + 4*b = 26, 3*u - p = -2*b - 11. What is the third derivative of -5*n**3 - 6*n**u + 5*n**2 - 4*n**2 + 0*n**2 wrt n?
-30
Let o(x) be the second derivative of 37/6*x**3 + 7/10*x**5 + 0*x**2 - 8 + 0*x**4 + 2*x. What is the second derivative of o(v) wrt v?
84*v
Let s(y) = 12*y**2 - 3*y + 133. Let p(g) = 16*g**2 - 3*g + 134. Let x(d) = -4*p(d) + 3*s(d). Differentiate x(i) with respect to i.
-56*i + 3
Let i(g) be the third derivative of 407*g**5/60 + 319*g**4/24 + g**3/6 + 10*g**2 - 14*g. Find the second derivative of i(q) wrt q.
814
Let t(k) be the first derivative of 193*k**7/7 + k**4/2 + 565*k**3/3 + 143. What is the third derivative of t(d) wrt d?
23160*d**3 + 12
Let f(w) be the first derivative of 2*w**3/3 - 45*w**2/2 + 137*w - 155. What is the first derivative of f(k) wrt k?
4*k - 45
Let u = 4 - 0. Suppose 3*f = -m + 11, 4*m + u*f - 11 = 3*f. What is the third derivative of -43*c**3 + 47*c**3 + 2*c + c**m - 2*c wrt c?
24
Let k(x) be the second derivative of x**7/35 - x**4/2 - x**2/2 - 12*x. Let g(v) be the first derivative of k(v). What is the second derivative of g(j) wrt j?
72*j**2
What is the third derivative of 254*u**4 - 66*u**4 - 9*u**2 - 2*u**2 - 2 - 10*u**2 + 24*u**2 wrt u?
4512*u
What is the derivative of 19*c**3 + 12*c**3 + 47*c**3 - 595 + 572 wrt c?
234*c**2
Let q = -28 + 141/5. Let a(p) be the second derivative of -q*p**5 + 0*p**2 + 0 + 0*p**4 + 5/6*p**3 + 2*p. What is the second derivative of a(y) wrt y?
-24*y
Let w(a) = 10*a - 9. Let r be -1*1/(-2) - (-909)/18. Let z(h) = -79*h + 73. Let m(g) = r*w(g) + 6*z(g). Find the first derivative of m(d) wrt d.
36
Let r = -29 + 25. Let a(j) = -31*j**3 - 12*j. Let d(o) = 15*o**3 + 6*o. Let c(z) = r*a(z) - 9*d(z). What is the second derivative of c(u) wrt u?
-66*u
Let o(h) = h**3 + 13*h**2 - h - 10. Suppose -z - 31 = -18. Let p be o(z). Find the second derivative of -507*k + 0*k**2 + 0*k**2 + 498*k + 10*k**p wrt k.
60*k
Differentiate -136 + 2*a**3 + 42*a - 2*a**2 - 5*a**2 + 215 + 7*a**2 wrt a.
6*a**2 + 42
Suppose -3*p + 0*c = -2*c - 7, -5*p + 12 = -3*c. What is the second derivative of -h**3 - h**p + h**3 + 3*h + 3*h wrt h?
-6*h
Suppose 5*u = -0*c + 3*c + 22, c - 1 = 0. Find the second derivative of 9*o**5 - 5*o + 7*o + u*o + 2*o wrt o.
180*o**3
Let q(t) = -t**2 + 13*t + 5. Let a be q(13). Find the second derivative of -1 - 6837*d**2 + 6837*d**2 - 5*d + 50*d**a wrt d.
1000*d**3
Find the second derivative of -125*u**3 - 115*u - 111*u**3 + 391*u**3 wrt u.
930*u
Suppose -28 = -21*t + 14. Let j(u) = u**3 - 16*u + 45. Let c(l) = -15*l + 46. Let d(h) = t*j(h) - 3*c(h). Differentiate d(i) wrt i.
6*i**2 + 13
Let s(b) be the third derivative of 1/8*b**4 - 1/3*b**3 + 12*b**2 + 0 + 0*b. What is the first derivative of s(u) wrt u?
3
Let f(p) = 278*p - 488. Let j(r) = 13. Let d(a) = -f(a) + 6*j(a). What is the derivative of d(c) wrt c?
-278
Let z(r) be the third derivative of 0*r + 0*r**5 + 0 - 1/6*r**3 + 19/120*r**6 + 0*r**4 + 20*r**2. Find the first derivative of z(a) wrt a.
57*a**2
Suppose 0 = 5*h - 4*b + 35, 2*h + 11 = -0*h + b. Let w = h - -6. Find the second derivative of -7*f**3 + f + 7*f**w - 4*f**3 wrt f.
-24*f
Let m(j) = -114*j**4 + 5*j**3 - 5*j**2 - 98*j + 5. Let o(x) = x**3 - x**2 + x + 1. Let z(s) = -m(s) + 5*o(s). What is the second derivative of z(d) wrt d?
1368*d**2
Let m(h) = 40*h - 20. Let w(r) be the first derivative of r**2/2 - 40. Let n(y) = m(y) - 6*w(y). What is the first derivative of n(z) wrt z?
34
Let a(z) = -z - 1. Let h(c) = 1. Let g(y) = -a(y) - 4*h(y). Let k be g(5). Differentiate 2*l - 6 + k*l + 0*l - 5*l with respect to l.
-1
Let v(n) be the second derivative of -449*n**7/42 + n**5/20 - 143*n**3/3 - 647*n. What is the second derivative of v(h) wrt h?
-8980*h**3 + 6*h
Let u(v) be the first derivative of -2*v**3/3 + 13*v**2 + 65*v - 117. What is the derivative of u(w) wrt w?
-4*w + 26
Let u be 72/12 - (-4)/1. Suppose 0 = 2*h - 2*t - 10, -u = -2*h - 0*t + 4*t. Find the second derivative of 6*j - 2*j**5 + 11*j - 7*j**h - 6*j wrt j.
-180*j**3
Let b(q) = 8*q - 3*q + 1 - q**2 - 3. Let l be b(3). What is the derivative of -2*o + 10*o**l + 2*o - 19*o**4 - 10 wrt o?
-36*o**3
Let f(h) = -h**3 + 4*h**2 + 2*h. Let b be f(3). What is the first derivative of 12 - 8 + b*d**2 - 4*d**2 + 6 wrt d?
22*d
Suppose 14*b + 18 = 17*b. What is the third derivative of b*a**3 + 5*a**3 + 7*a**3 - 11*a**3 + 6*a**2 wrt a?
42
Let v(a) = 919*a**3 - 1982*a**2 + 5*a + 5. Let d(f) = -459*f**3 + 991*f**2 - 3*f - 3. Let h(m) = 5*d(m) + 3*v(m). Find the third derivative of h(x) wrt x.
2772
Let i(t) be the first derivative of -20*t**3 - 3*t**2/2 + 473*t - 131. What is the first derivative of i(v) wrt v?
-120*v - 3
Let n(u) = -u**2 + u + 2. Let x be n(-5). Let t be (-119)/x - 2/8. Find the third derivative of -6*o**2 + 45*o + t*o**4 - 45*o wrt o.
96*o
Suppose -5*p + 15 = -2*p. What is the second derivative of f**3 + 5*f**3 - p*f**3 + 0*f**3 - 5*f wrt f?
6*f
Let i(f) = -160*f + 293. Let g(u) = 2*u + 1. Let s(w) = -2*g(w) - i(w). Differentiate s(r) wrt r.
156
Suppose 0 = -g, -u - 2*g = -4*u + 1815. What is the third derivative of 33*f**5 + u*f - 605*f - 27*f**2 wrt f?
1980*f**2
What is the first derivative of -2954*l**2 + 81 + 2900*l**2 - l - l wrt l?
-108*l - 2
Suppose 4*f - 2*m - 4 = 0, 31*m = 5*f + 34*m - 16. Let a(v) be the second derivative of -5/6*v**3 + 0 - 2*v**f - v. Differentiate a(w) wrt w.
-5
Differentiate 21*n**4 + 59*n**4 + 43*n**4 + 21*n**4 - 204 - 20*n**4 wrt n.
496*n**3
Let b(k) be the first derivative of 53*k**3 - 120*k**2 + 152. What is the second derivative of b(h) wrt h?
318
Let c(m) be the third derivative of 0*m - 1/5*m**5 + 0 + 0*m**4 - 7*m**2 + 0*m**6 + 0*m**3 + 11/210*m**7. Find the third derivative of c(l) wrt l.
264*l
Let u(v) be the second deriv