ive of n**9/504 - 15*n**7/7 + n**5/60 + 32*n**3 + 323*n**2. What is the third derivative of i(t) wrt t?
120*t**3 - 10800*t
What is the second derivative of -50*s - 324*s**2 - 514*s**4 - 2 - 12*s + 655*s**2 - 331*s**2 wrt s?
-6168*s**2
Let d(s) = 5*s - 27. Let g(c) = -16*c + 81. Let h(t) = t**3 - 3. Let a be h(0). Let i(r) = a*g(r) - 8*d(r). Differentiate i(y) wrt y.
8
Differentiate -79045 - 481*h**3 - 251*h**3 + 79749 with respect to h.
-2196*h**2
Find the third derivative of q - 6*q - 13*q**2 + q + 5*q - 18*q**6 + 166*q**6 wrt q.
17760*q**3
Let v(b) = 133*b**2 + 109. Let m(r) = -134*r**2 - 109. Let g(j) = -4*m(j) - 5*v(j). What is the derivative of g(a) wrt a?
-258*a
Suppose -5*z + 7 = -3. Find the third derivative of -12*q**6 - 27*q + 4*q**z + 27*q wrt q.
-1440*q**3
Let l(z) be the third derivative of z**6/36 + 13*z**4/24 + 5*z**3/6 - 12*z**2. Let w(n) be the first derivative of l(n). What is the derivative of w(s) wrt s?
20*s
Let h(t) be the first derivative of 398*t**7/7 - 88*t**3 + 15. What is the third derivative of h(c) wrt c?
47760*c**3
Let h(z) be the second derivative of 4/3*z**3 + 4/5*z**6 + 0 + 0*z**2 + 0*z**4 + 24*z + 0*z**5. Find the second derivative of h(t) wrt t.
288*t**2
Let r(s) be the second derivative of -3*s**5/20 - 239*s**4/12 + 205*s**3/2 - 95*s - 5. What is the second derivative of r(j) wrt j?
-18*j - 478
Let y(t) be the first derivative of -655*t**2/2 - 445*t - 542. What is the first derivative of y(z) wrt z?
-655
Suppose 20 = 4*b, u - 5*b = -12 - 11. What is the derivative of -u*d + 0 - 10 + 3*d wrt d?
1
Let w(m) be the first derivative of 0*m - 10*m**2 + 0*m**3 + 8/5*m**5 + 0*m**4 - 17. What is the second derivative of w(b) wrt b?
96*b**2
Let b(q) = -53*q**3 - 4*q**2 - q - 6. Let g(x) = 54*x**3 + 5*x**2 + 3*x + 6. Let t(y) = -5*b(y) - 4*g(y). What is the second derivative of t(a) wrt a?
294*a
Let s(o) be the first derivative of 5*o**4/2 + 2*o**3 + 39*o - 43. Let y(f) be the first derivative of s(f). Find the second derivative of y(q) wrt q.
60
What is the first derivative of -4907*w - 56*w**4 + 4907*w - 505 wrt w?
-224*w**3
Let a = 0 - -1. Let b = a - -1. Differentiate 5 - 3*k - b - 2 with respect to k.
-3
Let c(w) = w**3 - w**2 - w. Let d(o) = -35*o**3 + 19*o**3 + 2 + 24*o - 5*o**2 + 19*o**3. Let q(i) = -6*c(i) + d(i). What is the second derivative of q(l) wrt l?
-18*l + 2
Let j(n) = 17*n**3 + 3*n**2 + 8*n - 11. Let w(q) = -q - 2. Let r(y) = j(y) - 3*w(y). Find the second derivative of r(t) wrt t.
102*t + 6
Let g be 3/(-1) - -8 - 2. Find the second derivative of -5*q**3 - 3*q + 9*q - g*q + 6*q wrt q.
-30*q
What is the second derivative of 72*w**3 - 35 + 9*w + 4*w + 15 + 16 wrt w?
432*w
Suppose 0 = 3*y - 5*d - 30, 4*y - d = y + 18. Differentiate 33 + y*z + 18 - 36 with respect to z.
5
Let u = 0 + -3. Let k = u + 8. Find the second derivative of -5*q**5 - 2*q + 3*q**k + 7*q wrt q.
-40*q**3
Find the first derivative of 81 + 46*a + 20*a - 13*a + 20*a wrt a.
73
What is the second derivative of -93*c - 284*c**5 + 42*c**3 - 86*c**3 + 44*c**3 wrt c?
-5680*c**3
Differentiate 98*s + 147*s - 16*s + 5 - 10 - 28 with respect to s.
229
Let f(h) be the third derivative of 2*h**2 + 7 + 0*h - 1/4*h**6 + 0*h**5 + 0*h**4 + 20/3*h**3. What is the first derivative of f(i) wrt i?
-90*i**2
Let k(z) = z**2 - 3*z - 2. Suppose 4*h - 20 = -h. Let m be k(h). What is the second derivative of -5*x + x**2 - m*x**2 - 7*x**2 + 3*x**2 wrt x?
-10
Suppose 3*h + 3*m - 4 = -19, -10 = -4*h + 2*m. Let o = 4 - h. What is the second derivative of -10 + 4*w**3 + 7 + 3 - o*w wrt w?
24*w
Let f(b) be the second derivative of -5*b**4/6 + 11*b**3/3 + 177*b**2/2 - 11*b. Differentiate f(s) wrt s.
-20*s + 22
Suppose 16 = -9*g + 13*g. Let s(h) = 3*h**3 - 7*h**2 - 7. Let l(u) = -2*u**3 + 7*u**2 + 6. Let o(b) = g*s(b) + 5*l(b). Find the third derivative of o(w) wrt w.
12
Suppose m = -m + 6. Suppose -m - 2 = -a. What is the third derivative of -22*s**3 + 22*s**3 + 6*s**6 - a*s**2 wrt s?
720*s**3
Let a(o) be the first derivative of -253*o**3/3 - 127*o**2 - 44. What is the second derivative of a(y) wrt y?
-506
Let b(d) be the third derivative of 41*d**5/120 - 7*d**4/12 + 13*d**3/6 + 37*d**2. Let n(o) be the first derivative of b(o). Differentiate n(t) wrt t.
41
Suppose -4*b - 46 = -3*x, 4*x = 6*x - 2*b - 28. Find the third derivative of -2*p**4 + x*p**4 + 12*p**4 - 6*p**4 - 6*p**2 wrt p.
336*p
What is the second derivative of -146*k**2 - 72*k**2 - 174*k**2 + 1 + 8*k**2 + 83*k wrt k?
-768
Find the second derivative of -6 - 36*h**3 - 13 - 3*h**2 - 30*h - 5*h + 33 - 15 wrt h.
-216*h - 6
Let x(m) = 5*m**4 - 4*m - 4. Let t(l) be the first derivative of 1/2*l**2 + 0*l - 7. Let h(o) = -4*t(o) - x(o). What is the first derivative of h(v) wrt v?
-20*v**3
Let h(r) be the first derivative of -163*r**3/3 - 70*r - 255. What is the derivative of h(i) wrt i?
-326*i
Let a(l) be the first derivative of -19*l**5/5 - l**3/3 - 103*l**2/2 - 112. Find the second derivative of a(t) wrt t.
-228*t**2 - 2
What is the derivative of 21 - 24*n**3 + 71*n**3 + 26 wrt n?
141*n**2
Let x(a) = 175*a**3 + 40*a**2 - 17*a - 20. Let p(j) = -58*j**3 - 14*j**2 + 6*j + 7. Let u(v) = -17*p(v) - 6*x(v). Find the third derivative of u(s) wrt s.
-384
Let j(g) be the first derivative of 7*g**6 - g**3 - g**2/2 - 25*g + 104. Find the second derivative of j(u) wrt u.
840*u**3 - 6
Let s = -16 + 20. Suppose -8*u - s = -10*u. Find the first derivative of -5*z**u - 2 + 2*z**2 + 4 wrt z.
-6*z
Suppose 36*d - 38 = 34. Suppose 1 = -3*u + 13. Find the second derivative of -u*b**d + b - 2*b - 3*b wrt b.
-8
Find the third derivative of 90*c**2 - 6 + 51*c**3 + 1 + 5 wrt c.
306
Suppose -5*r + f + 84 = 4*f, -3*r = 4*f - 57. Let t = r - 11. Find the third derivative of 3*c**2 - 6*c**3 - 2*c**2 - 3*c**2 + t*c**3 wrt c.
-12
Let c(k) = -2*k**4 + 69*k**2 - 6*k + 195. Let i(v) = 10*v**4 - 344*v**2 + 28*v - 974. Let t(g) = 14*c(g) + 3*i(g). Differentiate t(a) wrt a.
8*a**3 - 132*a
Let m be 14/(-70)*(-1)/2. Let l(d) be the second derivative of 3/2*d**2 - d + 0*d**4 + 0*d**3 + 0*d**5 + m*d**6 + 0. Find the first derivative of l(h) wrt h.
12*h**3
Let d(q) = 5*q**2 + 11*q - 152. Let a(f) = -5*f**2 - 12*f + 155. Let w(y) = -4*a(y) - 3*d(y). Differentiate w(k) wrt k.
10*k + 15
Let u(z) = -z**2 - 9*z - 16. Let w be u(-5). Differentiate -3*r - 8 - w*r + 0*r wrt r.
-7
Let h = -624 + 627. Let i(s) be the second derivative of 0 - 1/12*s**4 + 0*s**h - 7/2*s**2 - 8*s. What is the derivative of i(c) wrt c?
-2*c
Let l(f) = f**2 + 10*f + 10. Let v be l(-9). Let h be -2 + v - (-18)/2. What is the first derivative of -2 + 4*r - 5*r**4 + h*r**4 - 4*r wrt r?
12*r**3
Let h(a) = -a**3 - a**2 - a + 1. Let f be h(-2). Let l be (-1*2)/(39/9 - 5). Find the second derivative of -l*t**3 + f*t**3 + 2*t - 5*t**5 - 4*t**3 wrt t.
-100*t**3
Let d = 16 - 14. Suppose d*c + 7 = 15. What is the first derivative of -c*o**2 + 1 - 7 + 4 + 5 wrt o?
-8*o
Let s(w) = -2*w**2 + 7. Let p be (-1)/(2 + (-12)/8 + -1). Let k(b) = 8*b**2 - 28. Let x(j) = p*k(j) + 9*s(j). Find the first derivative of x(z) wrt z.
-4*z
Suppose 4*n - 1 = -5*p, 2*p - 4*p = 4*n - 10. What is the first derivative of -193*h**4 + 191*h**n + 2*h**3 - h**3 + 19 wrt h?
-8*h**3 + 3*h**2
Let v(l) = -4*l**3 + 2*l + 5. Let g = -50 - -48. Let s(n) = -27*n**3 + 15*n + 36. Let x(a) = g*s(a) + 15*v(a). What is the derivative of x(i) wrt i?
-18*i**2
Let u(f) be the second derivative of 0*f**3 + 32*f - 5/6*f**6 + 0*f**4 + 0 + 37/2*f**2 + 0*f**5. Find the first derivative of u(z) wrt z.
-100*z**3
Suppose 2*n + 41 = 2*p + 7*n, -3*n + 9 = 0. What is the second derivative of 0 - 12*t**3 - 19*t - p*t**3 + 0 wrt t?
-150*t
Let v(o) = 18*o**4 - 7*o**3 - 13*o**2 + 6*o + 8. Let c(b) = b**4 + b**3 + b**2 - b - 1. Let h(i) = -6*c(i) - v(i). What is the third derivative of h(q) wrt q?
-576*q + 6
Find the second derivative of 17*p + 16*p + 33*p**5 - p**4 - 1 + 14*p + 6 - 45*p wrt p.
660*p**3 - 12*p**2
Let z(i) be the second derivative of 11*i**7/2520 + 5*i**5/24 + 3*i**4/2 - 2*i. Let o(l) be the third derivative of z(l). Differentiate o(b) with respect to b.
22*b
Let k(w) be the first derivative of -17*w**4 - 7*w**3/3 - 3*w - 38. What is the third derivative of k(z) wrt z?
-408
Let w(q) = 82*q**5 + 6*q**4 + 10*q - 38. Let n(d) = 83*d**5 