- 3*t**2 + 15*t + 3. Let d(j) = -5*a(j) - 3*q(j). What is the second derivative of d(w) wrt w?
366*w
Let z(j) = -j - 1. Let a(k) = k. Let x(y) = 9. Let d(t) = -4*a(t) - x(t). Let l(c) = -d(c) - 5*z(c). Find the first derivative of l(f) wrt f.
9
What is the second derivative of -38*b**2 - 2*b - 4 + 47*b**2 + 7*b + 8*b + 15*b**4 + 17*b wrt b?
180*b**2 + 18
Let s(c) be the third derivative of -c**5/60 + 9*c**4 + 334*c**3/3 + 8*c**2 + 4. What is the derivative of s(t) wrt t?
-2*t + 216
Let b(o) = -o**2 - o - 1. Let f(c) = 367*c**2 + c + 283. Let s(x) = -2*b(x) - f(x). Find the second derivative of s(y) wrt y.
-730
Find the first derivative of -110 + 65*r + 259 + 2*r + 12 wrt r.
67
Let p(s) be the second derivative of s**6/120 - 11*s**4/24 - s**3 + 6*s. Let w(n) be the second derivative of p(n). Differentiate w(r) wrt r.
6*r
Let n = 3237 - 3235. Let t(z) be the second derivative of 2/3*z**4 + 0*z**3 + 0 - z**n + 7*z. Differentiate t(a) wrt a.
16*a
Suppose 3*f - 4*f + 28 = 0. Let o = f - 24. What is the second derivative of -o*j**3 - 5*j - 2*j**3 - j**3 wrt j?
-42*j
Let u(c) be the third derivative of -313*c**7/105 + c**4/12 + 143*c**3/3 + 553*c**2. What is the second derivative of u(h) wrt h?
-7512*h**2
Let j(m) = m**3 - 5*m**2 + 4*m + 1. Let s be j(4). What is the first derivative of -4*u**3 + s + u**3 - 6*u**3 + 9 wrt u?
-27*u**2
Let p be (-2)/2*(3 + -46). Find the second derivative of 0*m + p*m**3 - 3*m - 34*m**3 - 2*m wrt m.
54*m
Let h be (8/6)/(28/105). Let x(p) be the second derivative of 0 + 7*p - 7/20*p**h + 0*p**3 - 7/12*p**4 + 0*p**2. Find the third derivative of x(d) wrt d.
-42
Suppose -5*g - t + 5 = 0, -3 = -2*g - 3*t + 12. Find the second derivative of 2 - 2 - 16*b + 6*b**3 + g*b wrt b.
36*b
Let b = -104 - -108. Differentiate -1 - 64*p**4 - 38 + 36*p**b with respect to p.
-112*p**3
Let o(g) = 36*g + 195. Let p(k) = 71*k + 400. Let f(n) = 14*o(n) - 6*p(n). What is the derivative of f(v) wrt v?
78
What is the third derivative of -2*n**2 + 24*n**3 - 11*n**4 + 17*n**3 - 85*n**3 - 161*n + 23*n**3 + 18*n**3 wrt n?
-264*n - 18
Let b(f) = -98*f**2 - 99*f + 3. Let s(k) = -197*k**2 - 198*k + 7. Let y(g) = -7*b(g) + 3*s(g). What is the second derivative of y(w) wrt w?
190
Find the second derivative of -622*n - 7976*n**2 - 7982*n**2 + 15954*n**2 - 34*n**4 wrt n.
-408*n**2 - 8
Suppose -5*h + 16 = -9, c - 5*h + 22 = 0. Find the third derivative of -9*y**2 - 7*y**2 + y**2 + 3*y**2 + 2*y**c wrt y.
12
Let v(k) = 17*k**3 + 4*k**2 - 48. Let y(x) = 16*x**3 + 3*x**2 - 48. Let i(z) = -3*v(z) + 4*y(z). Find the first derivative of i(g) wrt g.
39*g**2
Let x(h) = -15*h**2 + 85*h - 125. Let t(m) = 27*m**2 - 169*m + 251. Let u(b) = -4*t(b) - 7*x(b). What is the derivative of u(j) wrt j?
-6*j + 81
Let b(g) = 537*g**3 - 2*g**2 + 40*g + 8. Let s(x) = -1073*x**3 + 6*x**2 - 81*x - 18. Let o(l) = 9*b(l) + 4*s(l). What is the third derivative of o(c) wrt c?
3246
Let v(m) = m**2 - 19. Let b be v(-5). What is the third derivative of 4 + 2*j**b - 23*j**2 - 4 wrt j?
240*j**3
Let i(b) be the second derivative of b**6/15 + 9*b**5/5 - 3*b**4/4 + 3*b**2/2 + 4*b + 3. Find the third derivative of i(a) wrt a.
48*a + 216
Let z(v) be the first derivative of -9/2*v**2 + 0*v**4 + 0*v + 0*v**3 - 13 + 3/5*v**5. What is the second derivative of z(x) wrt x?
36*x**2
Let q(n) = -n**3 + 4*n**2 - 2*n - 3. Let g be q(3). Suppose g = -4*u + u. What is the third derivative of 185*r**2 - 10*r**6 + 0*r + u*r - 197*r**2 wrt r?
-1200*r**3
Let y(g) be the first derivative of -7*g**6/6 + g**5/5 - 2*g**3 - 44. What is the third derivative of y(u) wrt u?
-420*u**2 + 24*u
Let j(d) be the second derivative of 163*d**5/20 - 159*d**2/2 - 176*d. What is the derivative of j(v) wrt v?
489*v**2
Let a(n) be the second derivative of -4*n**6/3 - n**5/20 + 283*n**4/12 + 15*n + 5. What is the third derivative of a(r) wrt r?
-960*r - 6
Let a = -7 + 8. Let x be (a + -9)/((-2)/1). What is the third derivative of -9*p**x + 4*p**2 - 3*p**2 + 6*p**4 + 0*p**4 wrt p?
-72*p
Suppose 0 = 2*d - 0*d + 6. Let y(l) = l**2 + 3*l. Let x be y(d). What is the first derivative of -r**3 + x*r**3 + 0*r**3 - 2 wrt r?
-3*r**2
Suppose -2*n = -0*n + 8. Let q(m) = -m**3 - 3*m**2 + 4*m + 7. Let i be q(n). Find the third derivative of -8*k**6 + i*k**6 - 6*k**6 - k**2 wrt k.
-840*k**3
Let s(k) = k**2 - 8*k - 46. Let o be s(12). Let v(l) be the first derivative of 2/3*l**3 + 2*l**o + 4 + 0*l. What is the second derivative of v(j) wrt j?
4
Let x(y) = y**2 - 2*y - 1. Let k be x(3). Find the third derivative of -2*o - 8*o**k + o**3 + o**3 + 2*o wrt o.
12
Let k(y) = 173*y**2 - 17*y + 55. Let t(a) = 115*a**2 - 11*a + 37. Let q(r) = -5*k(r) + 8*t(r). Find the second derivative of q(i) wrt i.
110
Let a(x) be the first derivative of -4*x - 26 + 9/2*x**2. What is the derivative of a(c) wrt c?
9
Let q(f) be the first derivative of -256*f**6/3 + 5*f**2/2 + 15*f - 826. Find the second derivative of q(g) wrt g.
-10240*g**3
Suppose -d - 4*i - 6 = -0*d, -5*i - 33 = -3*d. Find the third derivative of 260*m**2 - 230*m**2 + 12*m**6 + 7*m**d - 6*m**6 wrt m.
1560*m**3
Let l(c) = c**3 - c**2 - c. Let w(i) = -71*i**3 - 6*i**2 - 5*i + 29. Let k(j) = -6*l(j) + w(j). What is the second derivative of k(y) wrt y?
-462*y
Differentiate 66 + 273 - 135*k**3 + 101*k**3 + 132 - 83 with respect to k.
-102*k**2
What is the second derivative of -71*p**3 - 18*p + 51*p**3 + 2 - 9 wrt p?
-120*p
Let d be (-2)/16 - 1272/64. Let r = d + 24. What is the third derivative of 2*q**2 - 8*q**2 - 6*q**r - q**4 wrt q?
-168*q
Let i(m) = -13*m**2 - 3*m - 59. Let x(y) = -14*y**2 - 2*y - 60. Let d(r) = 4*i(r) - 3*x(r). Differentiate d(k) wrt k.
-20*k - 6
Let c(s) = s**2 + 1. Let r(o) be the second derivative of o**4/3 - 11*o**3/3 - o**2/2 + 14*o. Let y(h) = -c(h) - r(h). Find the second derivative of y(g) wrt g.
-10
Let p = 1087/7815 - 3/521. Let l(r) be the third derivative of 0*r + 0*r**4 + 0*r**3 - p*r**5 + 0 + 1/60*r**6 - 3*r**2. Find the third derivative of l(k) wrt k.
12
Let u(t) = 11*t**4 - 6*t**3 + 13. Let i(j) = -j**3. Let a be ((-11)/((-77)/6))/(2/(-14)). Let r(k) = a*i(k) + u(k). Differentiate r(d) with respect to d.
44*d**3
Let i(l) = -1. Let o(r) = -36*r - 44. Let d(k) = -36*i(k) + 2*o(k). Find the first derivative of d(s) wrt s.
-72
What is the derivative of -156 - 392*r + 69*r - 146*r - 226 wrt r?
-469
Let q(f) = f**3 - f**2 - 2*f + 2. Suppose 10 = -x + 6*x. Let z be q(x). What is the third derivative of -5*c**z - 3*c**5 - 2*c**5 + 2*c**5 wrt c?
-180*c**2
Let z(i) be the first derivative of -17*i**6/6 - 2*i**5/5 + 67*i**3 + i - 359. What is the third derivative of z(k) wrt k?
-1020*k**2 - 48*k
Let o(v) be the second derivative of -5*v**2 - 18*v - 17/6*v**3 + 0. What is the derivative of o(i) wrt i?
-17
Suppose 7*j - 54 + 54 = 0. Let c(g) be the second derivative of -9*g - 3/2*g**2 - 5/3*g**3 + j. What is the first derivative of c(h) wrt h?
-10
Let j(p) = 220*p**3 - 76. Let k(c) = -20*c**3 + 7. Suppose -16*z = -15*z - 32. Let v(r) = z*k(r) + 3*j(r). Differentiate v(h) wrt h.
60*h**2
Let y(v) = 4*v - 6. Let t be y(2). What is the first derivative of 17 - 41 + 12 + 11*n**t wrt n?
22*n
What is the second derivative of 35 + 6*i - 6*i + 2*i + 65*i**2 wrt i?
130
Let s be 10*4*1/8. Suppose 4*q + 2*a = -0*q + 16, -4*a - 7 = -s*q. What is the third derivative of d**q - 15*d**2 + 15*d**2 - 4*d**2 wrt d?
6
Let a(s) be the first derivative of s**8/140 + 13*s**5/60 - 7*s**3/3 - 31. Let r(d) be the third derivative of a(d). Find the second derivative of r(w) wrt w.
144*w**2
Let x(f) be the third derivative of 0*f**6 + 0*f - 22*f**2 + 0 + 0*f**3 - 7/20*f**5 + 2/21*f**7 + 0*f**4. What is the third derivative of x(m) wrt m?
480*m
Let h(j) = -9*j + 11. Let t be h(1). Suppose -2*f - f = 0. What is the third derivative of -3*p**t + 9*p**2 + f*p**2 + 2*p**5 + p**2 wrt p?
120*p**2
Let o = -895 - -899. Let v(a) = -3*a - 3. Let f be v(-2). Differentiate o*b**3 + b**3 + 8 + 0*b**f wrt b.
15*b**2
What is the third derivative of 26*j**4 + 126*j**3 + 9*j**4 - 127*j**3 + 92*j**2 wrt j?
840*j - 6
Let h(l) = 21*l**3 - 4*l**2 + 3*l - 266. Let q(v) = 40*v**3 - 9*v**2 + 7*v - 532. Let j(b) = 7*h(b) - 3*q(b). Differentiate j(r) with respect to r.
81*r**2 - 2*r
Let h(c) be the first derivative of c**3/3 + c**2/2 + 