3 - 1 + 3*k**b + 0 wrt k?
-2*k
Let n be ((-25)/(-10))/(2/16). Suppose n - 8 = 4*g. Differentiate 4*y**2 + 19 + g*y**2 - 22 with respect to y.
14*y
Let p(h) be the first derivative of h**4/12 - h**3/6 - 6*h**2 - 1. Let m(i) be the second derivative of p(i). Differentiate m(q) wrt q.
2
Suppose 22 = -2*h - 4*j, -h - j - 16 = h. Let t be 0 + 1 - (h - -4). What is the first derivative of -w**4 - 4 + 2 + t wrt w?
-4*w**3
What is the derivative of -245 - 251*q**2 + 86*q**2 - 531*q**3 + 86*q**2 + 79*q**2 wrt q?
-1593*q**2
What is the second derivative of -450120*d**3 + 26*d**2 + 450120*d**3 - 384*d - 3*d**4 wrt d?
-36*d**2 + 52
Suppose -2*d = d - 27. What is the second derivative of -9*f**2 + f + 30*f**2 - 3*f - d*f wrt f?
42
Let o(s) = -s**2. Let v(l) = 60*l**2 - l - 175. Let r(j) = -6*o(j) - v(j). What is the first derivative of r(n) wrt n?
-108*n + 1
Let j(x) = 26*x + 4. Let o(s) = s - 1. Let z(m) = -j(m) + 5*o(m). Let b(r) = 20*r + 10. Let i(w) = -5*b(w) - 6*z(w). Differentiate i(f) wrt f.
26
Let a(i) = 5*i**2 + 5*i - 5. Let v be a(2). Differentiate -8*h**4 + 6 + 11 + 5 - v with respect to h.
-32*h**3
Let p(x) be the second derivative of 0*x**5 + 15/2*x**2 + 0*x**4 + 6*x + 0*x**3 + 8/15*x**6 + 0. What is the first derivative of p(q) wrt q?
64*q**3
Let h(z) = -z**3 - 4*z**2 - z + 2. Let f be h(-2). Let i be f/(28/12 - 3). What is the second derivative of -6*m**3 + i*m**3 + 6*m**4 + 6*m wrt m?
72*m**2
Differentiate -333*d - 169 + 794 - 190 with respect to d.
-333
Let c(o) be the third derivative of -29*o**7/210 - o**6/60 + 23*o**3/2 + 11*o**2. Find the first derivative of c(w) wrt w.
-116*w**3 - 6*w**2
Differentiate 120*k**3 + 302 + 190*k**3 - 38 with respect to k.
930*k**2
What is the third derivative of 715*h**2 + 821*h**2 - 8*h**3 - 1638*h**2 wrt h?
-48
Let n(m) be the first derivative of -m**6/3 - 17*m**3/6 - 14*m + 5. Let b(u) be the first derivative of n(u). What is the second derivative of b(z) wrt z?
-120*z**2
Suppose 2 = -3*o + 2*o. Let c be (4/(-6))/(o/9). What is the third derivative of -8*n**3 + 3*n**2 - 5*n**4 + 8*n**c wrt n?
-120*n
Suppose -5*i = -w - 8, -5*i + 4*i = -3. What is the third derivative of w*u**6 - 4*u**2 - 4*u**6 + 11*u**2 + 6*u**6 wrt u?
1080*u**3
Let l(i) be the first derivative of -9*i**5 - i**4/2 - 77*i + 114. What is the derivative of l(r) wrt r?
-180*r**3 - 6*r**2
Suppose 0 = 3*g + 4*u - u - 1167, 3*g - 1166 = -2*u. Find the third derivative of -388 + 13*b**2 - 57*b**5 + g wrt b.
-3420*b**2
Let g = -9 - -7. Let u(f) = 15*f**3 + 2*f**2 - 2*f. Let q(o) = o**2. Let p(c) = g*q(c) + u(c). Find the second derivative of p(b) wrt b.
90*b
Let m(r) be the second derivative of 0 + 0*r**4 + 0*r**5 + 23*r + 0*r**3 + 2/3*r**6 + 23*r**2. Differentiate m(t) wrt t.
80*t**3
Let q(g) = 90*g**3 + 132*g**2 + 172*g - 11. Let m(c) = 49*c**3 + 66*c**2 + 86*c - 6. Let s(u) = -11*m(u) + 6*q(u). Find the second derivative of s(w) wrt w.
6*w + 132
Let c(q) = q**3 - q - 2. Let p(k) = 52*k**5 - 2*k**3 - 22*k + 4. Let s(n) = 2*c(n) + p(n). Find the second derivative of s(b) wrt b.
1040*b**3
Let s(f) be the third derivative of -7/2*f**3 + 1/2*f**4 + 12*f**2 + 0 + 0*f. Find the first derivative of s(d) wrt d.
12
Let d(a) = 61*a - 84. Let u(v) = -121*v + 164. Let g(n) = 5*d(n) + 2*u(n). What is the first derivative of g(f) wrt f?
63
Suppose -2*v + 0*v + 4 = 0. What is the second derivative of 0*p**2 - 4*p**3 - v*p**2 + 8*p**3 + p - 7*p wrt p?
24*p - 4
Let l(c) be the third derivative of -457*c**7/210 - 22*c**4/3 + 412*c**2. Find the second derivative of l(u) wrt u.
-5484*u**2
Let f(b) be the third derivative of b**9/252 + 5*b**8/336 - b**5/60 - 113*b**4/12 + 263*b**2. What is the third derivative of f(c) wrt c?
240*c**3 + 300*c**2
Let v = 29 - 25. Find the second derivative of 0*u - v*u + 2*u + u**2 wrt u.
2
Let g(s) be the first derivative of 85*s**2/2 - 57*s - 5. What is the first derivative of g(d) wrt d?
85
What is the third derivative of 2*m**6 + 4 - 600*m**4 - 32*m**2 + 287*m**4 + 292*m**4 wrt m?
240*m**3 - 504*m
Let f(u) be the third derivative of 23*u**8/336 + 2*u**7/105 + u**4/8 - 128*u**3/3 + 111*u**2 - 3*u. Find the second derivative of f(i) wrt i.
460*i**3 + 48*i**2
Let a be (-6)/(-8) - (-5)/4. Suppose -q - 3 = -a*q. What is the second derivative of q*w + 0*w**4 - 2*w**4 - 5*w + 8*w**4 wrt w?
72*w**2
Let n(y) = -5*y**3 - 11*y**2 - 102*y. Let i(f) = -3*f**3 - 5*f**2 - 51*f. Let u(b) = -13*i(b) + 6*n(b). What is the third derivative of u(v) wrt v?
54
Let b(s) be the first derivative of -33*s**4/4 - s + 11. Differentiate b(i) with respect to i.
-99*i**2
Let i(f) be the second derivative of 0*f**3 + 0*f**4 + 6*f + 5*f**2 + 1/6*f**6 + 0*f**5 + 0. What is the derivative of i(j) wrt j?
20*j**3
Let f = -86 - -179. Find the second derivative of -4*s - 12*s + 93*s**2 - f*s**2 + 19*s**4 wrt s.
228*s**2
Let y(t) = -t**3 + 20*t**2 - t + 22. Let u be y(20). What is the third derivative of 470*n**4 - 11*n**u - 236*n**4 - 241*n**4 wrt n?
-168*n
Let n(y) be the third derivative of 17*y**7/105 - 71*y**4/24 - 7*y**2 - y. Find the second derivative of n(j) wrt j.
408*j**2
Let d be (-14)/1*(-72)/252. Let z(x) be the first derivative of 0*x + 0*x**3 - 6 - 2*x**d - 5/2*x**2. Find the second derivative of z(f) wrt f.
-48*f
Let n(y) be the first derivative of -13*y**6/6 - 3*y**5/5 + 7*y**3/3 + 4*y**2 - 114. Find the third derivative of n(g) wrt g.
-780*g**2 - 72*g
Let n(h) = -6 - 2 + 7 - h. Let q(b) = 6*b**2 - 5*b - 4. Let j(u) = -4*n(u) + q(u). What is the second derivative of j(g) wrt g?
12
Let q be 84/35 - 3/(-5). Differentiate 22*v - 14*v - q - 9 wrt v.
8
Let c(u) = 4*u**2 - 3. Suppose -9 + 15 = 2*g. Suppose 2*p + g = 3*p. Let o(n) = 5*n**2 - 3. Let q(z) = p*c(z) - 2*o(z). Find the first derivative of q(i) wrt i.
4*i
Find the third derivative of 51*y**2 - 2*y**2 + 267*y**4 + 14*y**2 - 8271*y + 8271*y wrt y.
6408*y
Let u(r) be the second derivative of -341*r**7/42 + r**5/10 + r**4/12 - 5*r**3/3 - 430*r. What is the third derivative of u(c) wrt c?
-20460*c**2 + 12
Let b = 27 + -19. Find the first derivative of 3*d + 5*d + 6*d - 25 + b*d wrt d.
22
Let t(i) = -i**3 + 4*i**2 - i + 1. Let y be t(4). Let o = y - -6. What is the second derivative of o*k**2 + 0*k + 2*k**2 + 6*k - 2*k wrt k?
10
Let q(p) = 421*p**4 - 5*p**2 + 14*p + 35. Let g(a) = 631*a**4 - 7*a**2 + 20*a + 53. Let s(o) = -5*g(o) + 7*q(o). What is the second derivative of s(j) wrt j?
-2496*j**2
Differentiate 2*g**3 + 42824*g**4 - 42452*g**4 + 96 - 292 wrt g.
1488*g**3 + 6*g**2
Let y(q) = q**3. Let j(z) = 30*z**3 + 3*z**2. Let w = -72 + 70. Let t(p) = w*y(p) + j(p). What is the third derivative of t(a) wrt a?
168
Let g = 27 + -14. Let v = -8 + g. What is the second derivative of c**v + 4*c**2 + 0*c**5 - 5*c - 4*c**2 wrt c?
20*c**3
Let m(w) = -6*w**2 + w + 33*w**3 + 11 + 4*w + 8 + w. Let f(r) = 32*r**3 - 5*r**2 + 5*r + 18. Let d(q) = 6*f(q) - 5*m(q). Differentiate d(n) wrt n.
81*n**2
Let v(y) = -8*y - 3. Let k(u) = 16*u + 7. Suppose 0 = -3*n + n - 12. Let w(r) = n*k(r) - 11*v(r). Differentiate w(j) wrt j.
-8
Let j(g) = 75*g**5 - 5*g**3 + 23*g**2 + 5. Let t(m) = 76*m**5 - 6*m**3 + 23*m**2 + 6. Let h(x) = -6*j(x) + 5*t(x). What is the third derivative of h(q) wrt q?
-4200*q**2
Let l(w) be the third derivative of 3*w**5/4 + w**4/12 + 49*w**3/3 + 105*w**2. What is the first derivative of l(n) wrt n?
90*n + 2
Let b(x) be the first derivative of 148*x**5/5 + 2*x**3/3 - 209*x - 411. Differentiate b(y) wrt y.
592*y**3 + 4*y
Let u(h) be the third derivative of 5*h**8/28 - 7*h**5/60 + 7*h**4/4 - h**2 - 88*h. What is the third derivative of u(l) wrt l?
3600*l**2
Let r(q) = -23*q**4 - 2*q**3 - 8*q**2 + q. Let x(v) = -22*v**4 - 2*v**3 - 9*v**2 + v. Let m(p) = 2*r(p) - 3*x(p). Find the third derivative of m(u) wrt u.
480*u + 12
Let f(z) = -142*z**3 - 9*z**2 - 2*z - 10. Let n(t) = 709*t**3 + 44*t**2 + 11*t + 49. Let x(k) = 11*f(k) + 2*n(k). Find the third derivative of x(p) wrt p.
-864
Find the second derivative of -6*v - 28*v**2 - 5*v + 132*v**2 + 4 + 29*v**2 wrt v.
266
Let f(h) = 98*h**3 + 16*h**2 + 7*h - 33. Let r(a) = -97*a**3 - 13*a**2 - 6*a + 32. Let j(y) = 6*f(y) + 7*r(y). Find the third derivative of j(b) wrt b.
-546
Let m(a) be the first derivative of 33*a**4/2 - a**2 - 138*a + 272. Find the first derivat