747*c - 75*c**2 + 3*c**5 - 2*c**4 + 8747*c wrt c?
180*c**2 - 48*c
Suppose 10*b = 5*b + 35. What is the second derivative of 4*x - x**2 + b*x**2 + 14*x - 9*x wrt x?
12
Let q = 66 - 58. Differentiate q*z + 5 - 2 + 4*z - 3*z with respect to z.
9
Differentiate 28*f + 215 - 28*f + 108*f**2 wrt f.
216*f
Let z = 10 + -8. Suppose 3*a + 7 = z*f + 8*a, 5*f = -4*a + 26. What is the third derivative of 4*t**2 - 6 + f - 5*t**6 wrt t?
-600*t**3
Suppose 42*p - 41*p = 1, 7 = 3*t + p. Let c(u) be the second derivative of 2*u + 3/2*u**t - 2/3*u**3 + 0. Find the first derivative of c(k) wrt k.
-4
Let t(m) = -122*m**4 - 8*m**3 + 23*m - 184. Let u(z) = 41*z**4 + 3*z**3 - 8*z + 61. Let r(b) = 3*t(b) + 8*u(b). What is the first derivative of r(s) wrt s?
-152*s**3 + 5
Let i be 20/(-30)*(-7 - -1). What is the third derivative of -818*j**2 + 800*j**2 - 23*j**4 + 3*j**i wrt j?
-480*j
Find the first derivative of 35*h**2 + 21*h**2 + 2*h**4 + 104 - 56*h**2 + 11*h wrt h.
8*h**3 + 11
Let j = -27 + 24. Let x(v) = -v + 11. Let k(p) = -3*p + 23. Let o(n) = j*k(n) + 5*x(n). What is the first derivative of o(g) wrt g?
4
Let o(n) = 12*n**3 + 15*n**2 - 6*n - 199. Let f(j) = -23*j**3 - 32*j**2 + 13*j + 398. Let r(m) = -6*f(m) - 13*o(m). Differentiate r(y) wrt y.
-54*y**2 - 6*y
Let u(o) be the third derivative of o**6/120 - 157*o**4/12 + 671*o**3/6 + 69*o**2 + 1. Differentiate u(r) wrt r.
3*r**2 - 314
Let y(n) be the third derivative of 0*n**3 + 7/20*n**6 + 0*n + 0*n**4 + 0 + 9/20*n**5 - 6*n**2. What is the third derivative of y(r) wrt r?
252
Let z(b) be the first derivative of -5/2*b**2 + 0*b - 14/5*b**5 + 0*b**3 - 2 + 0*b**4. What is the second derivative of z(l) wrt l?
-168*l**2
Let t(m) be the third derivative of 134*m**7/105 - 65*m**3/3 - 106*m**2. Differentiate t(y) wrt y.
1072*y**3
Let g(t) be the first derivative of t**8/84 - 2*t**4/3 - t**2/2 - 19. Let b(r) be the second derivative of g(r). Find the second derivative of b(s) wrt s.
80*s**3
Let n(x) = -10*x**4 - 6*x**3 - x**2 + 12*x - 390. Let b(c) = -c**4 - c**3 + c**2 + 2*c + 1. Let z(p) = -6*b(p) + n(p). Find the first derivative of z(u) wrt u.
-16*u**3 - 14*u
Let g(y) be the third derivative of -47*y**5/60 + y**4/24 + 7*y**3/6 + 206*y**2. What is the second derivative of g(x) wrt x?
-94
Let j(w) = 123*w**2 + 8*w + 232. Let s(d) = 247*d**2 + 14*d + 462. Let g(h) = 7*j(h) - 4*s(h). Differentiate g(x) with respect to x.
-254*x
Suppose 1 + 8 = n + 2*g, -2*n - 5*g = -16. Find the third derivative of 35*o**2 + 11*o**4 - n*o**2 - 19*o**2 - 11*o**2 wrt o.
264*o
Let s(m) = 6*m - 6. Let x be s(2). What is the second derivative of -11*y**2 - 13*y + 0*y**2 - 6*y**2 + x*y**2 wrt y?
-22
Let y(x) be the first derivative of 20*x**2 - 16*x + 39. What is the first derivative of y(s) wrt s?
40
Let o(h) be the first derivative of -5*h**6/2 - h**4/4 - 2*h**3/3 - h - 11. What is the third derivative of o(d) wrt d?
-900*d**2 - 6
Let b(y) = -200*y**3 - 9*y**2 - 3*y + 603. Let o(f) = -201*f**3 - 6*f**2 - 2*f + 604. Let u(w) = 2*b(w) - 3*o(w). Differentiate u(g) with respect to g.
609*g**2
Let m(o) = -6*o**3 - 100*o**2 + 133. Let p(j) = 7*j**3 + 102*j**2 - 133. Let h(w) = 6*m(w) + 5*p(w). Find the first derivative of h(v) wrt v.
-3*v**2 - 180*v
Let m(a) = a**3 + 12*a**2 - 2*a - 22. Let b be m(-12). Find the second derivative of b*t**4 + 13*t + t**4 + 16*t**2 - 16*t**2 wrt t.
36*t**2
Suppose 2*b = 5*b - 9. Let f(s) be the second derivative of 0*s**b + 7*s + 5/12*s**4 + 3/10*s**5 + 0 + 0*s**2. What is the third derivative of f(z) wrt z?
36
Let w = 73 - 57. Differentiate 8*i**2 - 12 + w + 25 - 3*i**2 with respect to i.
10*i
Let d = 11 + -9. What is the derivative of 3 - 10 - 13*p + d*p + 5*p wrt p?
-6
Let n = -38 - -43. What is the second derivative of -51 - 10*i**5 - 7*i - 2*i**n + 51 wrt i?
-240*i**3
Let a(x) be the first derivative of -130*x**2 + 577*x + 343. Differentiate a(p) with respect to p.
-260
Let f(h) be the first derivative of 0*h**4 - 2 + 0*h - 3*h**3 - 4/3*h**6 + 0*h**2 + 0*h**5. Find the third derivative of f(o) wrt o.
-480*o**2
Suppose -5*u + 10 = -0. Let q be -2*(-1)/u*4. Find the second derivative of -q*g - 4 + 2 + 5*g**3 + 2 wrt g.
30*g
Let f(t) be the third derivative of 25*t**8/84 - t**7/210 + t**4/2 + 259*t**2. What is the second derivative of f(p) wrt p?
2000*p**3 - 12*p**2
Let t = 16 - -29. What is the second derivative of t*s**2 + 22*s - 20*s - 36*s wrt s?
90
Let u(k) = -k**3 - 16*k**2 - 13*k - 34. Let f be u(-17). What is the second derivative of -2*x - f*x**5 + 5 + 858*x**5 - 424*x**5 wrt x?
-840*x**3
Find the second derivative of -254*t - 336*t + 60*t + 39*t + 259*t**2 wrt t.
518
Let p(t) be the first derivative of 6*t**3 + t**2 - 595*t + 452. Find the second derivative of p(y) wrt y.
36
Let q(z) be the first derivative of -z**6/2 + 11*z**5 - 9*z**3 - 5*z + 182. Find the third derivative of q(i) wrt i.
-180*i**2 + 1320*i
Let f(y) = -y**3 + 6*y**2 - 4*y + 1. Let w be f(5). Let c(x) = 4*x - 18. Let u be c(w). What is the second derivative of 4*d + 7*d - 5*d + u*d**3 wrt d?
36*d
Let b(y) be the third derivative of -71*y**5/30 + 7*y**4/24 + y**3/2 + 179*y**2. Find the second derivative of b(h) wrt h.
-284
Let g(b) be the first derivative of -b**5/5 + 37*b**4/4 + 94*b - 81. Find the first derivative of g(y) wrt y.
-4*y**3 + 111*y**2
Let c(r) be the third derivative of r**8/840 + r**7/252 - r**4/12 + 7*r**2. Let g(x) be the second derivative of c(x). Find the third derivative of g(z) wrt z.
48
Let r(n) = -n**3 + n**2 - n. Let w(o) = 43*o**3 - 3*o**2 + 3*o - 46. Let f(v) = -3*r(v) - w(v). What is the derivative of f(c) wrt c?
-120*c**2
What is the second derivative of 4*z + 0*z**2 - 500*z + 11*z**5 + 10*z**2 + 8*z**5 wrt z?
380*z**3 + 20
Let i(f) = -38*f**4 + 5*f**3 - 10*f**2 + 139. Let z(k) = -38*k**4 + 4*k**3 - 8*k**2 + 140. Let n(a) = -4*i(a) + 5*z(a). What is the derivative of n(s) wrt s?
-152*s**3
Let w(q) be the second derivative of -7/2*q**2 + 0 + 17*q + 0*q**3 - 4/3*q**4. Find the first derivative of w(g) wrt g.
-32*g
Let b(f) = 0 + 7 - 24*f - 2 + 20*f**2 + 15 - 32*f**3. Let j(r) = -r**3 + r**2 - r + 1. Let z(u) = b(u) - 20*j(u). What is the second derivative of z(y) wrt y?
-72*y
Let f(l) be the first derivative of 2*l**6/45 + l**4/4 + 10*l**3/3 - 12. Let u(k) be the third derivative of f(k). Differentiate u(p) wrt p.
32*p
Let n = 45 + -24. Let u = n - 21. What is the second derivative of -r**2 + u - 15*r + 0 + 16*r wrt r?
-2
What is the third derivative of -13 - 570*a**2 + 571*a**2 - 49 - 7*a**5 + 4*a**4 wrt a?
-420*a**2 + 96*a
Let k(z) be the first derivative of z**4/4 + 5*z**3 + z**2/2 + 18*z - 12. Let q be k(-15). Differentiate -4*n**3 + n**3 - 5*n**q - 7 + 0 with respect to n.
-24*n**2
Let m(n) = 271*n**2 - 26*n - 126. Let s(z) = -68*z**2 + 6*z + 32. Let k(u) = -6*m(u) - 26*s(u). Differentiate k(f) with respect to f.
284*f
Let d be (-1 - -3)/((-4)/(-14)). What is the second derivative of -d*n**5 - n**5 + 0*n + 21*n + n**5 wrt n?
-140*n**3
What is the second derivative of -400*i**3 - 46*i - 6*i + 70*i - 1 + 68*i wrt i?
-2400*i
Let m(t) = t**2 + t - 1. Suppose 3 = j - 2. Let f(l) = -23*l - 5. Let z(q) = j*m(q) - f(q). Find the second derivative of z(s) wrt s.
10
What is the derivative of -127*m**4 - 175 + 645*m**4 - 220 + 9 wrt m?
2072*m**3
Let r = 78 - 53. Differentiate 6 + 3*k - 8*k - r - k with respect to k.
-6
Find the second derivative of -62*r**2 - 17*r**2 - 30*r**2 - 37*r**2 + 18*r**2 + 96*r wrt r.
-256
Find the second derivative of -471*n + 1 - 3*n**3 + 480*n - 3 + 4*n**2 wrt n.
-18*n + 8
Let d(j) = -30*j**3 + 6*j**2 + 3*j - 54. Let v(k) = k**3 - k**2. Let z(x) = d(x) + 6*v(x). What is the first derivative of z(h) wrt h?
-72*h**2 + 3
Let s(v) = 3*v + 4. Let d be s(0). Let q(a) = -a - 3. Let l be q(-6). Find the third derivative of -4*w**l - d*w + 4*w + 9*w**2 wrt w.
-24
Let d(f) = f**3 - 2*f**2 - 3*f + 4. Let w be d(3). Differentiate -24*n**4 - 8 + 51*n**4 - 23*n**w with respect to n.
16*n**3
Let j(i) be the first derivative of 11*i**6/180 - 5*i**4/24 - 10*i**3/3 - 22. Let p(o) be the third derivative of j(o). Differentiate p(l) with respect to l.
44*l
Let j(d) = -d**3 + 6*d**2 + 7*d + 6. Let l be (-93)/(-13) - 4/26. Let q be j(l). What is the second derivative of 6*z**2 - q*z**2 - 3*z - 5*z**5 wrt z?
-1