Let a be z/15 + (-66)/(-15). What is the first derivative of -12 + a*d + 4*d + 18 - 3*d wrt d?
5
Differentiate 11*h**3 + 20*h**3 + 36*h**2 - 109 + 23*h**3 - 34*h**2 wrt h.
162*h**2 + 4*h
Let v be ((-4)/6)/(6/(-45)). What is the third derivative of -27*d**3 + v*d**2 - 13*d**2 + 15*d**3 wrt d?
-72
Differentiate 22340*v - 22340*v + 49 + 90*v**3 wrt v.
270*v**2
Let j(d) be the second derivative of 0*d**3 + 7/2*d**2 + 0*d**4 + 0*d**5 - 1/3*d**6 + 0 - 13*d. What is the derivative of j(g) wrt g?
-40*g**3
Let c(m) be the first derivative of -8*m**6/3 - m**4/4 + 2*m**2 + 6*m + 214. Find the second derivative of c(a) wrt a.
-320*a**3 - 6*a
Let i(x) be the third derivative of -10*x**2 + 0*x + 0*x**3 - 13/12*x**4 + 0 - 8/15*x**5. What is the second derivative of i(n) wrt n?
-64
Let x(w) be the second derivative of 43*w**6/30 - 19*w**2 + 15*w + 2. What is the derivative of x(z) wrt z?
172*z**3
Suppose 2*w - 8 = -4. Let g = -23 + 28. What is the second derivative of g*a + 0*a - 4*a - 4*a**w - 5*a wrt a?
-8
Let u = 63 - 59. Differentiate -8*t**2 + 27 - 4 + u*t**2 with respect to t.
-8*t
What is the third derivative of 68*u**6 - 62*u**2 - 19*u - 28*u**5 + 14*u - 75*u**6 wrt u?
-840*u**3 - 1680*u**2
What is the second derivative of 9*y**3 - 56*y**3 - 79*y**3 + 393*y - 68*y**3 - y**3 wrt y?
-1170*y
Let g(z) be the third derivative of 18*z**2 + 17/120*z**6 + 0 + 0*z + 0*z**5 + 0*z**4 - 7/3*z**3. Differentiate g(y) with respect to y.
51*y**2
Let x(z) = -40*z**3 - 10*z**2 + 4*z - 97. Let b(a) = 41*a**3 + 12*a**2 - 5*a + 99. Let y(v) = 4*b(v) + 5*x(v). Differentiate y(f) with respect to f.
-108*f**2 - 4*f
Find the first derivative of 3 + 9 + 103*a - 35 - 9 wrt a.
103
Let w(s) be the second derivative of s**8/672 + s**6/90 + s**4 + 9*s. Let a(n) be the third derivative of w(n). What is the second derivative of a(x) wrt x?
60*x
Find the third derivative of -4*q**2 + 31 - q**2 - 11*q**3 - 27 wrt q.
-66
What is the second derivative of -13*n + 16*n**5 - 8*n + 1038*n**4 - 1041*n**4 wrt n?
320*n**3 - 36*n**2
Let x = 19 + -16. What is the second derivative of 2*j**x + j**3 + 8*j + 3*j**3 - 3*j**3 wrt j?
18*j
Let z(n) = -n**2 - 9*n - 14. Let j = 19 - 25. Let q be z(j). What is the derivative of -3 - 3 - 2 + 12*d**4 - q*d**4 wrt d?
32*d**3
Let r(u) be the third derivative of -u**8/168 - 2*u**7/15 - u**5/12 - 47*u**3/6 + 61*u**2 - 2*u. What is the third derivative of r(v) wrt v?
-120*v**2 - 672*v
Let c = 106 - 529/5. Let v(m) be the first derivative of 0*m + 0*m**4 + 10/3*m**3 + c*m**5 + 0*m**2 - 7. Find the third derivative of v(w) wrt w.
24*w
Find the third derivative of q**3 - q**2 + q**6 + 7*q - 5*q - 29*q**6 + 12*q wrt q.
-3360*q**3 + 6
Suppose -7*r + 8*r = 0. What is the second derivative of -6*n**3 + 0*n + r*n - 2*n**3 - 6*n wrt n?
-48*n
Let p(x) be the third derivative of 1/8*x**4 - 1/30*x**5 + 0*x - 39*x**2 + 0 + 2/3*x**3. What is the derivative of p(o) wrt o?
-4*o + 3
Let j be (-212)/(-26) + 20/(-130) - 3. Find the second derivative of -11*t**j - t + 4*t + 12*t wrt t.
-220*t**3
What is the second derivative of -158*z**3 + 56*z**3 - 64*z + 7*z - 33*z + 27*z wrt z?
-612*z
Let g(i) be the third derivative of 0*i + 0 + 0*i**4 + 9*i**2 + 13/6*i**3 - 3/20*i**5. What is the derivative of g(c) wrt c?
-18*c
Let t = -22 - -37. Let f be (96/(-15))/((-6)/t). Find the second derivative of 2*y + 16 - f - 7*y**2 wrt y.
-14
What is the derivative of 77*d - 146*d**2 - 158*d - 102 + 81*d wrt d?
-292*d
What is the second derivative of -2*s + 3*s**3 - 10 - 59*s**3 - 3 + 3*s wrt s?
-336*s
Let b(o) be the third derivative of 0*o**5 - 7 + 1/12*o**4 + 0*o + 2*o**2 + 11/3*o**3 + 37/120*o**6. Find the second derivative of b(c) wrt c.
222*c
Find the third derivative of 10*t**2 + 19*t**2 + 113 + 114 - 223 - 212*t**4 wrt t.
-5088*t
Let o be -1*161/(-42) - 7/21. Let a(k) be the second derivative of o*k**2 - 5/3*k**3 + 0 - 5*k. What is the derivative of a(c) wrt c?
-10
Find the third derivative of 22*h**6 + 2*h**6 - 3*h**2 + 46*h + 3*h**2 + h**2 - 22*h wrt h.
2880*h**3
Let w(r) be the third derivative of 0*r + 0 + 59*r**2 + 10/3*r**3 + 0*r**5 + 29/60*r**6 + 0*r**4. Find the first derivative of w(h) wrt h.
174*h**2
Let v(s) be the third derivative of 43*s**4/12 - 83*s**3/6 + 3*s**2 + 3*s. What is the derivative of v(t) wrt t?
86
Let u be (-2)/(-4)*(13 + 11). Suppose -3*x = -0*x - u. Find the third derivative of 3*c**2 - 3*c**2 + c**2 - x*c**4 wrt c.
-96*c
Find the third derivative of 4061*s**2 + 55*s**4 + 32*s**4 - 4063*s**2 + s**3 + 242*s wrt s.
2088*s + 6
Let u(m) be the third derivative of -37*m**8/336 - 691*m**5/60 + 4*m**2 - 10*m. What is the third derivative of u(c) wrt c?
-2220*c**2
What is the derivative of -275 + 30047*d**2 - 30499*d**2 - 173 wrt d?
-904*d
Suppose 9 = 2*s - 39. Suppose -l = -s - 20. Find the first derivative of l*h - h**4 - 44*h + 7 wrt h.
-4*h**3
Find the third derivative of 23*w**5 - 8*w**2 - 9*w + 9*w + 4*w**5 - 11*w**6 - 183 + 11*w**2 wrt w.
-1320*w**3 + 1620*w**2
Let i(h) be the third derivative of -1/15*h**5 + 0 + 12*h**2 + 0*h + 0*h**4 - 3*h**3. What is the derivative of i(z) wrt z?
-8*z
Let w(m) be the second derivative of -49*m**5/20 + 67*m**4/3 - 66*m + 2. What is the third derivative of w(f) wrt f?
-294
Let a(u) be the third derivative of -19*u**7/42 + 11*u**5/6 + u**4/24 - 17*u**2 - 2. Find the third derivative of a(v) wrt v.
-2280*v
Let y(d) be the third derivative of d**7/70 - 7*d**6/40 - d**5/30 + d**4/3 - 104*d**2. What is the third derivative of y(n) wrt n?
72*n - 126
Let u(r) = -r**4 - r**3 - r - 1. Let f(a) = 127*a**4 + 5*a**3 - 12*a**2 + 10*a + 5. Let l(x) = f(x) + 5*u(x). What is the third derivative of l(b) wrt b?
2928*b
Let f = 181 - 178. Let t(w) be the first derivative of 0*w**2 + 0*w - 5 + 1/2*w**4 + 5/3*w**f. Find the third derivative of t(c) wrt c.
12
Let y be 26/6 + 3/(-9). Find the third derivative of 3*p**3 - 5*p**2 + y*p**2 - 9*p**3 + 2*p**2 wrt p.
-36
Let x(o) = 24*o - 4. Let t(u) = 2*u - 1. Let j(w) = 4*w - 9. Let a be j(3). Let b(v) = a*t(v) + x(v). What is the derivative of b(h) wrt h?
30
What is the second derivative of -52*f - 140*f**4 - 528*f**2 + 528*f**2 - 103*f**4 wrt f?
-2916*f**2
Let f(t) = 14*t**2 + 29. Let h(z) = -28*z**2 - 59. Let u = -60 - -56. Let p(i) = u*h(i) - 9*f(i). Find the first derivative of p(k) wrt k.
-28*k
Let c(s) be the second derivative of -26*s**2 - s + 0 + 25/3*s**3. What is the derivative of c(f) wrt f?
50
Let o = 24 + -60. Let f = o - -39. Differentiate -5*g**f - 5*g**3 + 2*g**3 - 3*g**3 - 3 wrt g.
-33*g**2
Let b = -2 + 4. Let x(w) = -10*w + 4. Let j(a) = 5*a - 2. Let h(i) = 7*j(i) + 3*x(i). Let o(n) = 21*n - 8. Let t(q) = b*o(q) - 9*h(q). Differentiate t(z) wrt z.
-3
Let g(f) be the first derivative of 20*f**4 + 7*f**3 - 7*f**2/2 - 57. Find the third derivative of g(w) wrt w.
480
Let b(j) be the first derivative of 1 - 15/2*j**2 + 2*j. Differentiate b(t) wrt t.
-15
Let v(d) = 105*d**2 - 12*d + 77. Let u(y) = y**2 - 2*y + 2. Let l(q) = -6*u(q) + v(q). What is the derivative of l(h) wrt h?
198*h
Let o(a) = 267*a**3 + 3*a**2 - 188*a - 5. Let m(f) = 267*f**3 + 2*f**2 - 188*f - 3. Let p(b) = -3*m(b) + 2*o(b). Find the second derivative of p(h) wrt h.
-1602*h
Let m(w) = -w**3 + 14*w**2 - 14*w + 15. Let q be m(13). Find the second derivative of 118*k**5 + q*k**4 - 4*k - 127*k**5 - 2*k**4 wrt k.
-180*k**3
Let q(s) = -3*s**3 - 3*s - 1. Let o be q(-2). Let h = o - -37. What is the third derivative of m**2 - 66*m + 3*m**5 + h*m wrt m?
180*m**2
Let r(y) be the second derivative of -6*y**3 - 101*y**2/2 - 31*y - 1. Differentiate r(i) with respect to i.
-36
What is the third derivative of 66*m**4 + 3352*m**2 + 3 - 3820*m**2 - 3 - 4*m**3 wrt m?
1584*m - 24
Suppose 45 - 63 = -9*q. What is the third derivative of -700*k**3 + 720*k**3 + 2*k**6 + 6*k**q - 46*k**2 wrt k?
240*k**3 + 120
Let c = 23 + -23. Let g be 4 - -2*1 - 1. What is the second derivative of c*f + 0*f - f + f**g wrt f?
20*f**3
Let c(w) be the second derivative of 10*w - 1/2*w**5 + 3*w**2 + 0*w**4 + 0*w**3 + 0. Differentiate c(z) with respect to z.
-30*z**2
Let t(j) be the third derivative of -j**8/1440 - j**6/120 + j**5/12 - 2*j**2. Let r(l) be the third derivative of t(l). Differentiate r(u) wrt u.
-28*u
Find the first derivative of 66 + 25*f - 3*f + 2