hat is the third derivative of -14*c**2 - 13*c**4 + 70*c**2 + 4*c**3 - 2*c**3 + 7*c**4 wrt c?
-144*c + 12
Suppose a = 7 - 4. What is the third derivative of 5*l**2 - 13*l**4 + 23*l**3 - 50*l**3 - 2*l**5 + 27*l**a wrt l?
-120*l**2 - 312*l
Suppose 7 = 5*a - 13. What is the derivative of -a*n**3 + 6*n**3 + 1 - 5 - 5*n**3 wrt n?
-9*n**2
Let a(j) be the second derivative of j**4 - 23*j**3/6 - 23*j. What is the second derivative of a(k) wrt k?
24
Suppose -4*t = 9 - 61. Suppose -i + 31 = -5*v, 3*i - 3*v + t = 46. What is the second derivative of i*z + 10*z**5 + 130*z**4 - 130*z**4 wrt z?
200*z**3
Let g(w) be the third derivative of -w**7/105 - w**6/120 - 21*w**5/10 + 308*w**2. Find the third derivative of g(m) wrt m.
-48*m - 6
Find the first derivative of -57*x + 12*x**2 - 61 - 3*x**2 + 56*x wrt x.
18*x - 1
Let c(i) = -i**3 + 9*i**2 - 9*i + 12. Let l be (-1)/6 - (-245)/30. Let t be c(l). Find the third derivative of 4*o**2 - 7*o**2 + 0*o**6 + t*o**6 wrt o.
480*o**3
Let j(w) be the second derivative of -59*w**6/30 - 25*w**3/6 - 103*w. What is the second derivative of j(s) wrt s?
-708*s**2
Suppose 1 + 9 = 4*y + 2*u, -4*u - 25 = -y. What is the second derivative of 13*z + 12 - 12 + 19*z**y wrt z?
380*z**3
Let p(q) = q + 4. Let m be p(-5). Let k = 10 + m. What is the third derivative of 9*w**4 - 16 + 16 - k*w**2 wrt w?
216*w
Let o(k) = 8*k**3 + 3*k**2 + 2. Let z(b) be the third derivative of -b**3/6 - 2*b**2. Let u(v) = o(v) + 2*z(v). What is the third derivative of u(i) wrt i?
48
Let n(f) be the first derivative of 0*f**3 - 19 + 9*f**2 - 9/4*f**4 + 0*f. Find the second derivative of n(y) wrt y.
-54*y
Differentiate 74*x**3 - 38 + 40 + 25*x**2 - 25*x**2 + 103 with respect to x.
222*x**2
Find the third derivative of -58*m**2 - 4*m**4 + 88*m**2 - 81*m**4 wrt m.
-2040*m
Let o be (-9)/(-6) - 7/28. Let n(h) be the first derivative of h + 0*h**2 - 1 + 0*h**3 - o*h**4. What is the derivative of n(d) wrt d?
-15*d**2
Let c = -2856 + 4623. Find the second derivative of 43*s**2 + c - 1767 + 9*s wrt s.
86
Suppose -7 + 31 = -3*o. Let g = 9 + o. Differentiate 3 - g + 3*r**2 - 6 - r**2 with respect to r.
4*r
Let d(p) be the first derivative of -737*p**3/3 + 603*p**2/2 + 589. Find the second derivative of d(v) wrt v.
-1474
Suppose 79 - 19 = 3*d. Find the second derivative of 18*m - 2092 + 2092 - d*m**2 wrt m.
-40
Let v be (-4)/(-24) - 34/(-12). Let g(n) be the first derivative of -4*n**2 + 0*n + 2/3*n**v + 7. What is the second derivative of g(f) wrt f?
4
Let h be ((-6)/9)/((-2)/13893). Differentiate 0*r - h - 2*r + 4606 - 6*r wrt r.
-8
Suppose 0 = 4*y - 2*y - 2*a - 124, -5*y + 280 = a. What is the first derivative of 20 + 188*i**4 - 154*i**4 - y wrt i?
136*i**3
Let y be (-3)/2 - 1/2 - -6. What is the third derivative of -2413*p + 2413*p - 10*p**2 - 8*p**y wrt p?
-192*p
Find the third derivative of 22*k**3 + 23*k**2 + 12*k**2 + 1 - 1 - 37*k**2 - 80*k wrt k.
132
Let v(b) be the second derivative of 5*b**7/42 + b**6/10 + 5*b**3/2 - b**2/2 + 6*b - 15. Find the second derivative of v(s) wrt s.
100*s**3 + 36*s**2
Let g = -29 - -32. Differentiate 21*m**4 - 23 + 6*m**g - 10*m**3 + 4*m**3 wrt m.
84*m**3
Let k(l) be the second derivative of 0 + 0*l**3 - 9*l - 23/12*l**4 + 21/20*l**5 + 0*l**2. What is the third derivative of k(f) wrt f?
126
Let h(o) be the first derivative of 0*o**2 + 5 + 9/2*o**4 + 0*o - 8/3*o**3. Find the third derivative of h(c) wrt c.
108
Let i(y) be the first derivative of 40*y**3 + y**2 - 111*y - 128. Find the second derivative of i(r) wrt r.
240
Let m(z) = 3*z - 4. Let f be 140/49 + 1/7. Let l be m(f). What is the third derivative of -4*s**5 - 2*s**5 - s**2 - s**l - 2*s**2 wrt s?
-420*s**2
Suppose -3*q + 8 = -1. Suppose o + 15 = 3*f + 4*o, -q*o = 5*f - 23. Differentiate 5*z**f - 2*z**4 + 0*z**4 + 2 with respect to z.
12*z**3
Let p(l) be the third derivative of l**7/1680 + l**6/120 - 2*l**5/15 + 7*l**2. Let u(d) be the third derivative of p(d). What is the derivative of u(x) wrt x?
3
Differentiate 10593 - 81*g - 10947 - 39*g with respect to g.
-120
Let f(t) be the third derivative of 0*t**4 + 0*t + 15/2*t**3 + 1/5*t**5 + 20 - 2*t**2. What is the first derivative of f(z) wrt z?
24*z
Suppose 21*t - 19*t - 6 = 0. What is the second derivative of 11*v**3 - 2*v**3 - 14*v - 6*v**3 - 10*v**t wrt v?
-42*v
Suppose 0 = 28*u - 26*u - 218. What is the derivative of 127*v**2 - 4 - u*v**2 + 9 + 11 wrt v?
36*v
Let q(u) be the first derivative of 35*u**6/6 - u**5/5 - 91*u**2/2 + u - 124. Find the second derivative of q(k) wrt k.
700*k**3 - 12*k**2
Let p(k) = -k**2 + 5 - 1 - 14. Let b(u) = -u**2 - 10. Let h(r) = -3*b(r) + 2*p(r). What is the first derivative of h(a) wrt a?
2*a
Suppose -29*l + 4 = -27*l. Differentiate 11 - 66*f**2 + 15 + 61*f**l wrt f.
-10*f
Let f(q) be the first derivative of 96*q**6 + 190*q**2 - 528. What is the second derivative of f(l) wrt l?
11520*l**3
Let x(s) be the third derivative of -107*s**5/12 - 79*s**4/24 - s**3/2 + 113*s**2 + 2. Find the second derivative of x(n) wrt n.
-1070
What is the second derivative of 237*d**5 - 12*d**4 - 115*d**5 - 33*d - 116*d**5 wrt d?
120*d**3 - 144*d**2
Let g(w) = 2*w - 48. Let s be g(26). What is the first derivative of 9*d**s + 5 - 2*d**4 + 4*d**4 wrt d?
44*d**3
What is the second derivative of -2*c - 7*c**2 + 5*c**2 - 71*c**3 + 2*c**2 + 77 + 204*c**3 wrt c?
798*c
Let o(q) be the third derivative of -8*q**2 + 0*q**6 - 2 + 0*q**3 + 0*q - 47/24*q**4 + 1/21*q**7 + 0*q**5. What is the second derivative of o(a) wrt a?
120*a**2
Let o = -509 + 513. Let c(n) be the first derivative of 0*n + 2/3*n**3 + 0*n**2 + 7 + n**o. What is the third derivative of c(j) wrt j?
24
Let q(l) be the first derivative of l**4/4 - 50*l**3/3 + 414*l - 383. What is the first derivative of q(f) wrt f?
3*f**2 - 100*f
Let k(g) = -2*g**3 + 11*g**2 + 7*g - 4. Let p be k(6). Suppose -p*a + a = -110. Find the second derivative of 12*x + 110 + 13*x**4 - a wrt x.
156*x**2
Let c(m) be the first derivative of -121*m**5/5 + 87*m**2/2 + 142. What is the second derivative of c(f) wrt f?
-1452*f**2
Let r(f) = 2*f**3 + 4*f**2 - 20*f + 38. Let n(i) = -i**3 - 3*i**2 + 20*i - 37. Let m(z) = 4*n(z) + 3*r(z). What is the first derivative of m(h) wrt h?
6*h**2 + 20
Let c be (-1 + -1 + 24/12)/2. Let u(i) be the second derivative of 0*i**4 + c + 8*i - 9/20*i**5 + 0*i**2 + i**3. Find the second derivative of u(v) wrt v.
-54*v
Suppose 0*c - 2*k + 5 = 3*c, k = c - 5. What is the first derivative of 1 - 3*b**3 - 5*b**3 + 2*b**c + 3 wrt b?
-18*b**2
Let g(l) = l**2 + 8*l + 7. Let p be g(-7). Suppose 2*j + 4 - 12 = p. Find the second derivative of -116 - 12*b**j + 116 + 9*b wrt b.
-144*b**2
Let v(d) = -d**3 - 16*d**2 + 16*d - 15. Let h be v(-17). Find the third derivative of 2*x**2 - 5*x**2 + 10*x**5 - 21*x**h wrt x.
600*x**2
Let d = -501 + 501. Let s(m) be the second derivative of 0*m**2 + 0*m**3 + 1/6*m**6 + m + d*m**5 - 1/4*m**4 + 0. What is the third derivative of s(i) wrt i?
120*i
Let l be 2/(-3) + (58/3)/2. Find the first derivative of l*c**4 - 21*c**4 + 9 - 36*c**4 - c**4 wrt c.
-196*c**3
Let n be (90/(-40))/(3/(-4)). What is the third derivative of n*x**5 - 10*x**2 - x**2 + 7*x**5 wrt x?
600*x**2
Let m(r) = r**3 + 2*r**2 + r. Let x(d) = -d**5 - 280*d**4 + 6*d**3 - 461*d**2 + 6*d. Let p(v) = -6*m(v) + x(v). What is the third derivative of p(g) wrt g?
-60*g**2 - 6720*g
Let b be (-3 + 2 + 6)/1. Suppose 2*n - 8 = -2*n. What is the second derivative of -b*p + 4*p + 5*p + 4*p**2 + 4*p**n wrt p?
16
Let u(l) be the first derivative of -1/2*l**2 + 0*l**3 + 8/5*l**5 + 13 + 0*l**4 + 0*l. What is the second derivative of u(s) wrt s?
96*s**2
Let q(c) = c**3 - c. Let j(x) = -2*x**3. Suppose 0*z - z = -5. Suppose -2 = z*b - 22. Let h(y) = b*j(y) + 3*q(y). What is the second derivative of h(m) wrt m?
-30*m
Let y(u) = u**2 + 4*u - 2. Let j be y(-5). Suppose j*b - 105 = -2*b. Find the first derivative of -b*m + 3 + 21*m + 1 + 4*m**4 wrt m.
16*m**3
Let a be (165/6 - -2)*2. Find the third derivative of 5*z**5 - 78*z**2 + a*z**2 + 17*z**5 wrt z.
1320*z**2
Let k(y) be the third derivative of 9*y**2 - 7/24*y**4 + 0 + 0*y**3 - 1/60*y**5 + 0*y. Find the second derivative of k(j) wrt j.
-2
Let m(k) = 218*k**2 + 48*k - 8. Let s(c) = -c**2 + c + 4. Let u(f) = 3*m(f) + 6*s(f). Find the secon