5*d**o - 5*d**4 - 152*d**3 + 152*d**3 + 32*d**4 wrt d.
648*d
Let g(i) be the second derivative of 5*i**3 + 49*i**2/2 - 20*i. Let n(p) = 15*p + 24. Let d(h) = 3*g(h) - 5*n(h). What is the first derivative of d(z) wrt z?
15
Suppose -2*r - r + 123 = 3*w, 3*r - 195 = -5*w. Differentiate 22 + w*j + 18 - 86 wrt j.
36
Let p = -8 - -13. Suppose -5*k + 5*i = -p, -k + 3*i = k. What is the third derivative of -2*h**3 + 2*h**2 + 0*h**3 - 4*h**2 - 2*h**k wrt h?
-24
Let y(a) = 10*a**3 + 30*a + 4. Let v = -24 - -28. Let f(w) = -11*w**3 - 29*w - 3. Let m(p) = v*f(p) + 3*y(p). What is the second derivative of m(b) wrt b?
-84*b
Find the third derivative of 8*y**2 + 0*y**3 - 289*y**4 + 258*y**4 + 0*y**3 wrt y.
-744*y
Let z(k) be the first derivative of 0*k - 1 + 5/3*k**6 + 0*k**3 + 0*k**5 + 2*k**2 + 0*k**4. What is the second derivative of z(g) wrt g?
200*g**3
Suppose 3*s - 8 = -s. Let c = s - -3. Find the third derivative of 6*f**2 - 2*f**6 + f**2 - c*f**6 wrt f.
-840*f**3
Let i(o) be the first derivative of o**8/84 - 3*o**5/10 + 6*o**2 + 19. Let l(n) be the second derivative of i(n). What is the third derivative of l(u) wrt u?
240*u**2
Differentiate 84*q - 235 + 86*q + 151*q - 40*q + 48*q wrt q.
329
Let u(k) be the first derivative of 502*k**3/3 - 47*k**2 + 500. Find the second derivative of u(g) wrt g.
1004
Let i(x) be the third derivative of 0 + 19/120*x**6 - 1/30*x**5 + 0*x**3 + 0*x**4 + 7*x**2 + 0*x. Find the third derivative of i(p) wrt p.
114
What is the third derivative of 27*q**2 + q**4 + q**6 - 3*q**4 - q - 31*q**2 + q**4 wrt q?
120*q**3 - 24*q
Let s(r) be the second derivative of -9*r**7/14 + r**3/6 + r**2 + 91*r. Find the second derivative of s(j) wrt j.
-540*j**3
Find the second derivative of 1 + 23519*v - 1 - 169*v**4 - 23072*v wrt v.
-2028*v**2
Suppose 5*g - 2*j - 20 = 0, 4*j = g + j - 4. Suppose r - 3*r + g = 0. Find the second derivative of k**2 + 2*k**r + 11*k - 3*k**2 - 10*k**3 wrt k.
-60*k
Find the second derivative of -11 + 17*p + 17 + 10*p**5 - 38*p**5 - 11 wrt p.
-560*p**3
Let a be 3 + (8/(-2))/4. Differentiate -19*z - 3 + 3 + a wrt z.
-19
What is the second derivative of 26*f**2 + 25*f**2 + 2 + 3*f**2 + 5*f**3 - 21*f - 3*f**3 wrt f?
12*f + 108
Let j = -33 - -34. Let p = 3 + j. What is the first derivative of -11 - 10*s**4 - 8*s**p + 5*s**4 - 1 wrt s?
-52*s**3
Suppose f + f - 129 = -5*n, n - 23 = f. Let p = -22 + n. What is the first derivative of t**2 - 1 + 4 + 10 + p*t**2 wrt t?
8*t
Let p(r) = -79*r**5 - 3*r**4 - 16*r**2 + 6. Let y(s) = -s**4 + s**2. Let c(v) = p(v) - y(v). Find the third derivative of c(n) wrt n.
-4740*n**2 - 48*n
Suppose 6*u + 55 = u. Let g = 16 + u. Find the third derivative of -g*n + n**2 + 4*n**2 + 5*n**5 + 5*n wrt n.
300*n**2
Let k(g) = -84*g - 53. Let a(s) = -86*s - 55. Let f(v) = -2*a(v) + 3*k(v). Differentiate f(t) with respect to t.
-80
Let h = 48 + -71. Let s = -19 - h. What is the first derivative of -2 - 3*b**s - 4 - b**4 + 2*b**4 wrt b?
-8*b**3
Let t(v) be the second derivative of 0 + 1/12*v**4 - 9*v - 3*v**2 + 0*v**3. Differentiate t(j) with respect to j.
2*j
Let k(z) = 5*z**3 - 15*z**2 - 9*z. Let n(p) = 2*p + p - 7*p - 7*p**2 + 4*p**3 - p**3. Let h(y) = -4*k(y) + 9*n(y). What is the third derivative of h(r) wrt r?
42
Suppose 0 = -b + 4*b - 12. Suppose 0 = c - 2*c + b. Find the third derivative of -3*t**2 + 6*t**3 + c*t**3 - 6*t**3 + 2*t**3 wrt t.
36
Let d(k) be the third derivative of 67*k**5/60 - 2*k**3 - 44*k**2 + 2*k. What is the first derivative of d(j) wrt j?
134*j
Let u(t) be the second derivative of -t**6/30 - 3*t**5/4 + 42*t**3 + 256*t. What is the second derivative of u(c) wrt c?
-12*c**2 - 90*c
Let g(y) = 12*y**3 - 5*y - 8. Let o(p) = -p. Let z(k) = 6*k + 1. Let r(l) = 5*o(l) + z(l). Let c(v) = g(v) + 5*r(v). Find the first derivative of c(i) wrt i.
36*i**2
Let g(v) be the first derivative of 0*v**3 + 2*v**2 + 0*v**4 + 5 + 7/5*v**5 + 0*v. What is the second derivative of g(a) wrt a?
84*a**2
What is the second derivative of 616*o - 33*o**2 - 165*o + 542*o + 7*o**3 wrt o?
42*o - 66
Let l(f) be the first derivative of -49*f**3/3 + 136*f - 165. Find the first derivative of l(v) wrt v.
-98*v
Let u = -1 + 6. Suppose f - 5*k + 1 = -k, -2*f + u = -k. Differentiate -p**3 + 1 + 2 - 4*p**f - 1 with respect to p.
-15*p**2
Let f(y) = 6*y + 336. Let c(j) = 4*j + 112. Let i(s) = 14*c(s) - 5*f(s). Differentiate i(o) with respect to o.
26
Let i(s) be the third derivative of s**8/168 - 2*s**7/15 + 89*s**4/8 - 4*s**2 + 98*s. Find the second derivative of i(k) wrt k.
40*k**3 - 336*k**2
Let f(b) = -2*b**2 + 14*b - 9. Let p be f(6). What is the second derivative of -2*j + p*j - 6*j**4 + 2*j**4 - 7*j**4 wrt j?
-132*j**2
Let m(a) = a**2 - a - 9. Let d be m(4). Suppose 3*g - 3 = d. What is the first derivative of 54*n**g - 64*n**2 - 4 - 4 wrt n?
-20*n
Let k be (3/(-12)*2)/(5/(-710)). What is the first derivative of -k + 25 + 27 + 40*u**4 wrt u?
160*u**3
Let d(j) = -j**3 - 9*j**2 + 2*j + 12. Let r be d(-9). Let l be -2*(-9)/r + 6. What is the third derivative of 4*x + l*x**2 - x**4 - 4*x + 4*x**4 wrt x?
72*x
Suppose 5*i = 3*i + 10. Suppose -15 = -i*w - 5*v, -2*w + 4 = 4*v - 2. What is the second derivative of f**4 + 6*f + f**4 - w*f**4 + 6*f**4 wrt f?
60*f**2
Let r = -10 + 16. Let a(v) = -v**2 - 4*v + 2. Let w be a(-3). What is the second derivative of 6*x**3 + w*x - r*x**3 - 2*x**4 wrt x?
-24*x**2
Suppose 13*j + 47 = 73. Let i(s) be the first derivative of 0*s**3 + 0*s - s**j + 8 - 5/2*s**4. Find the second derivative of i(u) wrt u.
-60*u
Let j = 14 + -5. Find the third derivative of -c**5 - j*c**5 + 2*c**5 + 14*c**2 wrt c.
-480*c**2
What is the second derivative of -362*d**4 - 46 + 177*d**4 + 388*d**4 - 2*d wrt d?
2436*d**2
Let q(a) = 377*a + 597. Let h(p) = -744*p - 1193. Let u(s) = 3*h(s) + 5*q(s). What is the first derivative of u(w) wrt w?
-347
Suppose 2*i - 5 + 7 = 0. Let u(t) = 30*t**3 + 20*t**2 - 15. Let r(p) = p**3 - 1. Let a(w) = i*u(w) + 15*r(w). Find the third derivative of a(q) wrt q.
-90
Let w(j) be the first derivative of j**6/45 - j**4/4 - 3*j**3 - 15. Let k(u) be the third derivative of w(u). Find the first derivative of k(x) wrt x.
16*x
Let x(h) = 363*h + 112. Let v(q) = 719*q + 223. Let z(w) = 6*v(w) - 11*x(w). Differentiate z(y) wrt y.
321
Let c(t) = -769*t**3 + 6*t**2 + t - 8. Let v(n) = -1537*n**3 + 13*n**2 + n - 11. Let o(x) = 13*c(x) - 6*v(x). What is the second derivative of o(r) wrt r?
-4650*r
Let w = -25 + 15. Let a be ((-8)/w)/((-22)/(-55)). What is the second derivative of -z**2 + a*z - 6*z - z**2 wrt z?
-4
Let k(a) be the second derivative of 2/3*a**3 + 0 + 12*a**2 + 20*a. What is the derivative of k(r) wrt r?
4
Let o(a) = -a + 7. Let r be o(-3). Find the third derivative of 3*h**6 + r*h**6 - 13*h**2 - 4*h**6 + 2*h**6 wrt h.
1320*h**3
Let u(z) be the second derivative of 49*z**6/15 - 59*z**4/12 + 23*z + 3. What is the third derivative of u(g) wrt g?
2352*g
Let w(k) = -k**3 - 1. Let t(c) = -289*c**3 + 379. Let q(g) = -t(g) - 5*w(g). Differentiate q(x) with respect to x.
882*x**2
What is the derivative of 327 + 147 - 271 - 1501*d + 564*d + 405 wrt d?
-937
Let i(h) be the third derivative of 20*h**8/21 + 97*h**4/8 + 13*h**2 + 19*h. What is the second derivative of i(z) wrt z?
6400*z**3
Suppose 0 = 3*h + 3 - 12. Find the first derivative of -3*q**4 - 5 + 10 - h*q**4 - 14*q**4 wrt q.
-80*q**3
Let n(m) be the second derivative of -m**5/10 + 7*m**4/6 - 51*m**2/2 + 5*m. Differentiate n(g) wrt g.
-6*g**2 + 28*g
Let s(l) = 417*l - 39. Let p(r) = -4*r + 3. Let u(i) = -3*p(i) - s(i). What is the first derivative of u(q) wrt q?
-405
Let n(w) = -7*w - 2. Let x be n(-2). Suppose 2*j + x = 4*j. Find the third derivative of q**6 - 5*q**j + 5*q**5 - 5*q**2 - 5*q**5 wrt q.
-480*q**3
Let o(f) = f**4 + 10 + 0*f**2 - f**2 - 9. Let r(p) = 33*p**4 - p**3 + 2*p**2 + 13*p - 2. Let b(y) = -2*o(y) - r(y). Find the second derivative of b(c) wrt c.
-420*c**2 + 6*c
Let u(z) = -z**2 + 10*z + 3. Let a be u(10). Find the first derivative of -a - 1 - 2 + l - 9*l wrt l.
-8
Let s(r) be the first derivative of -2*r**4 + 9*r**2/2 + 38*r - 27. Let w(d) be the first derivative of s(d). Differentiate w(b) with respect to b.
-48*b
Suppose 5*g = -4*k + 41, 0 = -3*g + 3*k + 6 - 3. Find the second derivative of 18*l**3 - 7*l + 2*