4*x
Let u(f) be the first derivative of -f**6/6 + 33*f**4/4 - 15*f - 37. Let n(h) be the first derivative of u(h). Find the third derivative of n(m) wrt m.
-120*m
Let j(o) be the third derivative of 2*o**9/63 - 13*o**8/168 - 393*o**5/20 - 827*o**2. What is the third derivative of j(l) wrt l?
1920*l**3 - 1560*l**2
Suppose -18*w + 1169 = -649. Find the first derivative of 62 + w + 159*t - 3 + 69 + 45 wrt t.
159
Let a(c) be the second derivative of -c**9/36 - 16*c**5/15 + 34*c**2 - 12*c. Let n(w) be the first derivative of a(w). Find the third derivative of n(i) wrt i.
-1680*i**3
Suppose 2*r = -3*q + 173, 51 = r - 5*q - 3. Suppose a = 5, -7*x + a - 1 = -6*x. Differentiate -20*d**4 - 105 + r - d**x wrt d.
-84*d**3
What is the first derivative of 657 - 1155 + 99*p**4 + 775 - 772*p**4 - 962*p**4 wrt p?
-6540*p**3
Let s(r) = 2*r**2 - 50*r - 10. Let u be s(26). Differentiate -843*n**3 - u + 843*n**3 - 18 + 32*n**4 wrt n.
128*n**3
Suppose -22*w + 132 = -0*w. What is the derivative of 21*u - 27*u + w*u - 28*u**2 - 66 wrt u?
-56*u
Find the third derivative of 3*i**4 - 1591*i**2 + 608*i**3 - 307*i**3 - 17*i**5 + 6*i**4 - 301*i**3 wrt i.
-1020*i**2 + 216*i
Let t(m) = 43*m + 6. Let s be t(1). What is the second derivative of 19 - 157*l - 55*l**2 + 52*l + 57*l + s*l wrt l?
-110
Let m be (3/(9/3))/(3/393). What is the third derivative of -7*d**2 + m*d**2 - 4*d**6 - 15*d**6 wrt d?
-2280*d**3
Let u(h) be the first derivative of 29*h**7/7 + 5*h**4/4 + 2084*h**3/3 - 2506. Find the third derivative of u(f) wrt f.
3480*f**3 + 30
Let i(t) = -25*t**2 - 760*t + 2792. Let g(d) = 71*d**2 + 2280*d - 8378. Let w(a) = 6*g(a) + 17*i(a). Differentiate w(v) wrt v.
2*v + 760
Differentiate 29*v**2 + 782 - 70*v**2 - 32 + 42*v**2 + 178*v with respect to v.
2*v + 178
Let y(d) be the first derivative of -979*d**4/2 - 1507*d + 2581. Find the first derivative of y(a) wrt a.
-5874*a**2
Let o(z) = 7*z**2 - 40*z + 7. Let l be o(10). Find the second derivative of 3*v**2 - 38*v**3 + 269*v - 3*v**2 - l*v wrt v.
-228*v
Let u(l) = 6*l**2 - l + 2. Let z be u(-2). Let w = 129 + -127. What is the third derivative of -400*j**3 + 400*j**3 + 8*j**6 + 11*j**2 - z*j**w wrt j?
960*j**3
What is the second derivative of -4*m**2 + 258*m - 66 - 180*m + 4*m**2 + 1141*m**3 - 84*m wrt m?
6846*m
Let j(k) be the second derivative of 1726*k**6/5 + k**3/6 - 2014*k**2 - 30*k + 16. Find the second derivative of j(x) wrt x.
124272*x**2
Let x(n) be the first derivative of -2 + 22/3*n**3 + 0*n**2 + 34*n. What is the derivative of x(c) wrt c?
44*c
Suppose -2*p = 10 - 44. Find the second derivative of -5*b**3 - p + 6*b**2 + 2*b + 18 - 3*b**2 + 28 wrt b.
-30*b + 6
Suppose -10 = -5*v, -5*n + 0*v = -5*v + 70. Let o be (-2)/(-6) - 80/n. Find the first derivative of -o*w**4 - 4 + w + 22*w**4 - w wrt w.
60*w**3
Let l(q) be the third derivative of -11*q**8/14 + q**7/70 - 1097*q**5/60 - 241*q**2 - q. Find the third derivative of l(u) wrt u.
-15840*u**2 + 72*u
Let i(s) = s**3 - 23*s**2 + 23*s + 39. Let z be i(22). What is the third derivative of 5*f**2 + 26 - 71*f**3 + 0*f**2 - z*f**3 + 6*f**3 wrt f?
-756
Suppose 5*p = -4*d + 20, 3*p - 8*d - 12 = -4*d. What is the second derivative of 20*t**4 - 16*t**4 + p - 6*t**4 - 64*t**2 - 11*t wrt t?
-24*t**2 - 128
Let c(i) be the second derivative of -573*i**6/10 + 1829*i**2/2 + 5880*i. What is the derivative of c(s) wrt s?
-6876*s**3
Suppose 6*z - 26 = -7*z. What is the third derivative of 62*c**2 + 37*c**6 + 49*c**z - 8*c**2 wrt c?
4440*c**3
Let m be 4/14 + 916/28. Let r be (-3)/(8/((-752)/6)) - 8. Differentiate m - 134*c - r*c**2 + 134*c wrt c.
-78*c
Let h(x) = 5*x - 1. Suppose u + 2*u = 4*u. Let c(i) = -10 + u + 9. Let w(v) = 14*c(v) + 2*h(v). Differentiate w(s) with respect to s.
10
Let y = -326 - -366. Find the second derivative of 37 - 119 + 3*d + y - 65*d**2 + 34 wrt d.
-130
Find the second derivative of 12637*r**2 + 1565*r + 950*r - 3693*r**2 + 1554*r - 1216*r wrt r.
17888
Let o(l) = 4*l - 130. Let a be o(33). What is the derivative of 7621*x**2 + 0*x**3 - 7621*x**a + 28*x**3 - 98 wrt x?
84*x**2
Let n(q) = 2*q. Suppose -6*s - 1 - 5 = 0. Let i(j) = 53*j + 10. Let w(h) = s*i(h) - 3*n(h). Differentiate w(d) wrt d.
-59
Let a(b) be the second derivative of 29*b**8/8 + 5*b**7/42 + 481*b**4/6 + 507*b + 1. What is the third derivative of a(u) wrt u?
24360*u**3 + 300*u**2
Suppose 16 = -4*l, -2*t + 28 = -14*l + 10*l. What is the third derivative of 5*b**t - 4*b**2 - 2*b**6 - 2 + 3*b**2 - 6*b**6 wrt b?
-360*b**3
Let l(b) be the first derivative of b**6/5 + 35*b**3/6 + b**2/2 - 32*b + 69. Let m(s) be the second derivative of l(s). Differentiate m(r) with respect to r.
72*r**2
Let r(g) be the first derivative of 22*g + 77 + 12*g**2 + 43*g + 23 + 18*g. Differentiate r(b) with respect to b.
24
Let d(h) = -5*h**3 + 2*h**2 + 9*h + 12. Let x be d(-2). What is the third derivative of 36*k**2 - x*k**2 + 43*k**2 - 6*k**3 + 9*k**2 wrt k?
-36
Let k(y) be the first derivative of 2*y**5/5 + 2999*y**4/2 - 3532*y**3 - 3100. What is the third derivative of k(m) wrt m?
48*m + 35988
Let q(i) be the first derivative of -i**6/3 + 201*i**5/5 - i**4/2 + 2131*i**2/2 - 4002. What is the second derivative of q(d) wrt d?
-40*d**3 + 2412*d**2 - 12*d
Let f = 675 + -674. Let g(l) = 140*l**3 - 169*l**2 + 5*l. Let o(j) = j**3 + j. Let i(t) = f*g(t) - 5*o(t). Find the third derivative of i(b) wrt b.
810
Suppose 37*p - 15 + 6 = -9. Let f(y) be the first derivative of 0*y + 1 + p*y**2 - 31/5*y**5 + 5/3*y**3 + 0*y**4. What is the third derivative of f(t) wrt t?
-744*t
Let z(n) = -4*n**2 - n - 1. Let t(f) = 1118*f**2 + 1115*f - 4. Let i(x) = t(x) - 4*z(x). Find the second derivative of i(c) wrt c.
2268
Let z(l) be the second derivative of -l**6/6 + 26*l**5/5 + 125*l**4/3 + 1917*l. Find the third derivative of z(m) wrt m.
-120*m + 624
Let k(o) = 3*o**2 - 21*o + 44. Let j be k(-11). What is the third derivative of 2*g - 2*g - 3*g**3 - j*g**4 + 627*g**4 - 50*g**2 wrt g?
-264*g - 18
Let c = 97 + -94. What is the first derivative of -411 + 290 + 14*g**3 + 14*g**c + 18*g**3 wrt g?
138*g**2
Let t be 1 + -2 - (-2)/1. Suppose 5*i + 5*j = 20, 4*i + 1 + t = 5*j. Find the third derivative of 5*a**i - 7 + 8 - 1 + 13*a**3 wrt a.
78
Suppose 74 + 4 = 39*b. What is the first derivative of 21 - 2*f - 3*f + 46 - 11*f**b + f - 3*f wrt f?
-22*f - 7
Let x = 284 + -280. Find the third derivative of -4*o**4 + 93*o**5 - 163*o**2 + x*o**4 + 253*o**2 wrt o.
5580*o**2
Let t be (10/(-16))/(26/(-208)). What is the derivative of 58*j**4 - 4*j**2 + 19 - 11 + t*j**2 - j**2 wrt j?
232*j**3
Suppose -5*o + 1 + 4 = f, -f + 5 = -3*o. Let m(h) = 2*h**3 + 8*h - 7. Let n(v) = -v**3 - 9*v + 6. Let l(c) = f*m(c) + 4*n(c). Differentiate l(y) wrt y.
18*y**2 + 4
Let n(t) = 824*t**3 + 2*t**2 - 536*t + 3. Let z(i) = 2*i**3 - i**2 + 2*i - 1. Let s(o) = -n(o) - 3*z(o). What is the third derivative of s(w) wrt w?
-4980
Let c be 50/8*(1 + 5 + -2). What is the third derivative of 41 - 46*p**2 - c + 42*p**3 - 16 wrt p?
252
What is the third derivative of -13*a**3 + 1292*a**2 + 144*a**3 + 957*a**2 + a**6 + 17*a**3 wrt a?
120*a**3 + 888
Find the third derivative of 7222*z**2 - 3440*z**2 - 379*z**3 - 2419*z**2 wrt z.
-2274
Let w(u) = 4*u**2 - 13*u + 6. Let k be w(3). Differentiate 55 + 70 + 3*v**2 + 0*v**3 + 7 + 17 - 2*v**k wrt v.
-6*v**2 + 6*v
Let p(k) be the first derivative of 4*k - 1/5*k**5 + 0*k**2 - 2*k**3 + 0*k**6 - 30 + 0*k**4 + 19/7*k**7. Find the third derivative of p(w) wrt w.
2280*w**3 - 24*w
Let f(c) be the first derivative of -40*c**2 + 34*c - 37 + 40*c**2 - 18*c**4 + 0*c**2. Find the first derivative of f(z) wrt z.
-216*z**2
Let q(w) = -4383*w**3 - 152*w**2 + 26. Let v(d) = -1459*d**3 - 51*d**2 + 9. Let u(t) = -6*q(t) + 19*v(t). Find the third derivative of u(y) wrt y.
-8538
Let n(a) = -2*a**2 - a - 4. Let r(x) = -3936*x**2 + 50*x + 51. Let v(q) = 6*n(q) + r(q). What is the second derivative of v(c) wrt c?
-7896
Find the second derivative of -1440 + 14496*d**4 + 14489*d**4 - 28978*d**4 - 3*d**3 + d + 5*d**2 wrt d.
84*d**2 - 18*d + 10
Let w be 20/210 - (-305)/105. Find the second derivative of -4*j**3 + 12*j**3 - 3 + 2*j**5 - 2*j - 5*j**5 + 6*j**3 + 5*j**w wrt j.
-60*j**3 + 114*j
Let l(k) be the second derivative of 3*k**5/20 + k**4/6 + 373*k**3/6 - 3131*k**2/2 +