12
Find the third derivative of -p**2 - 26*p - 42*p**6 - 66*p**6 + 3*p**2 + 30*p**6 wrt p.
-9360*p**3
Let g(l) be the second derivative of 38*l**3/3 + 33*l**2 - 68*l. Differentiate g(a) with respect to a.
76
Find the second derivative of 331*s**2 - 2*s**3 - 16737*s - 67*s**2 + 17032*s wrt s.
-12*s + 528
Let a(p) be the third derivative of -9*p**2 + 0*p**5 - 4/3*p**3 + 0*p + 0 + 0*p**4 - 1/20*p**6. What is the derivative of a(r) wrt r?
-18*r**2
Let j(s) = s**3 + 15*s**2 + s + 25. Let a be j(-15). Find the third derivative of a*r**4 + 281 - 281 + 19*r**2 wrt r.
240*r
Find the third derivative of -263*n**2 - 3*n + 3*n + 8751*n**5 - 8758*n**5 - 2*n**4 wrt n.
-420*n**2 - 48*n
Let a(v) = v**3 - 12*v**2 - 2*v + 29. Let w be a(12). Find the third derivative of -5*u**w - 4 + 4 + 12*u**2 - 6*u**5 wrt u.
-660*u**2
Let z = -7 - -10. Suppose -p - b - z*b - 11 = 0, 0 = p - 2*b - 13. Find the second derivative of 5*i**p + i - 2*i - i**5 - 3*i wrt i.
80*i**3
What is the third derivative of 17*k**2 - 136*k**5 - 6 + 0*k**2 - 46*k**5 wrt k?
-10920*k**2
What is the derivative of 2*w + 15*w**2 - 32*w**2 - 8*w + 29*w**2 - 135 wrt w?
24*w - 6
Let n be 3*1/(-3)*-4. Find the second derivative of 8*l - 11*l + 3*l**4 + 10*l + 2*l**n wrt l.
60*l**2
Let a(p) be the first derivative of -5 + 5/2*p**2 + 2*p + 0*p**3 - 1/12*p**4. Let x(j) be the first derivative of a(j). What is the derivative of x(u) wrt u?
-2*u
Let i(k) be the first derivative of 2*k**5/5 + 27*k**4/4 - 197*k**3/3 + 499. What is the third derivative of i(m) wrt m?
48*m + 162
Let w(x) = x**2 - x - 15. Let s be w(5). What is the derivative of -349 - 7*d + 340 - s*d wrt d?
-12
Let j = -9 - -11. Suppose -j*o + 0*o = -l - 7, 3*o - 14 = 5*l. What is the third derivative of -o*z**4 + 7*z**4 + 0*z**2 + z**2 wrt z?
96*z
Let r be (2/(-2 + 0))/(1/(-2)). What is the third derivative of -3 + c**6 - 3*c**6 - 6*c**r + 3 wrt c?
-240*c**3
Let h(a) = 80*a**6 + 5*a**3 + 71*a**2 - 5. Let n(z) = -79*z**6 - 4*z**3 - 71*z**2 + 4. Let u(c) = -4*h(c) - 5*n(c). Find the third derivative of u(k) wrt k.
9000*k**3
What is the second derivative of 3 - 48*b**3 - 3 + 176*b + 49*b**3 wrt b?
6*b
Let a be (-5)/((-30)/12) - 0/(-2). What is the third derivative of 3*p**2 + 32 + 19*p**3 + a*p**2 - 32 wrt p?
114
Let y(i) be the second derivative of 0 - 9*i + 7/24*i**4 - 5/2*i**2 - 1/3*i**3. Let q(w) be the first derivative of y(w). Differentiate q(l) wrt l.
7
Find the first derivative of 53*y**2 - 42*y**2 - 47*y**2 - 25 wrt y.
-72*y
Let y = 19 - 14. Suppose -y*o - 5*u + 5 = 0, u + 0 - 5 = -3*o. What is the third derivative of 4*i**o + i**6 + 73*i**5 - 73*i**5 wrt i?
120*i**3
Let q(t) = 7*t - 6*t - 6*t + 2*t**2 - 3. Let i(z) = z**2 - 4*z - 2. Let g be 1/1 + -1 + 2. Let d(y) = g*q(y) - 3*i(y). Find the second derivative of d(h) wrt h.
2
Let t(u) = u**2 + 18*u - 17. Let g be t(-19). Differentiate 3 + 65*j**2 - 44*j**g - 4 with respect to j.
42*j
Suppose -2*y + 10 = -0*y, -5*h + 4*y + 15 = 0. What is the second derivative of -33*w - h*w + 15*w**4 - 3*w**4 + 4*w**4 wrt w?
192*w**2
Let d(t) be the first derivative of -55*t**6/2 + 3*t**2/2 + 2*t - 138. Find the second derivative of d(v) wrt v.
-3300*v**3
Let g(r) = -2*r + 14. Let p be g(3). Differentiate -17 + z**2 + p*z**2 + 13 with respect to z.
18*z
Let z(f) = -28*f**3 - 2*f**2 - 3*f - 107. Let n(q) = 28*q**3 + 2*q**2 + 4*q + 108. Let x(t) = 3*n(t) + 4*z(t). Differentiate x(c) wrt c.
-84*c**2 - 4*c
Let j(l) = -2*l + 1. Let c be j(-1). Suppose -3 = 2*k - c*k. Find the third derivative of -2*s**k + 6*s**3 + 3*s**2 - 4*s**3 - 4*s**3 wrt s.
-24
Find the second derivative of -39 + 9071*d**3 - 239*d**5 + 36*d**5 - 9072*d**3 - 53*d**5 - 6*d wrt d.
-5120*d**3 - 6*d
Find the first derivative of 216*u**3 - 431*u**3 - 2*u**4 + 216*u**3 - 1 - u**4 wrt u.
-12*u**3 + 3*u**2
What is the second derivative of 53697 - 3*z**3 - 897*z**5 + 3*z**3 - z - 53886 wrt z?
-17940*z**3
Let y(v) be the second derivative of -2/5*v**5 + 5/12*v**4 - 9*v + 0*v**2 + 0*v**3 + 0. What is the third derivative of y(g) wrt g?
-48
What is the third derivative of 23*i**3 - i**2 - 13 + 18 + 35*i**3 + 31 wrt i?
348
Let w(y) = y**2 + y - 2. Let s be w(3). Differentiate 21*a - s*a - 5 - 11*a - 21*a**2 wrt a.
-42*a
Suppose 0 = 4*d - 19 + 3. Let q be (-2)/3 - 5*98/(-105). Find the first derivative of -d*g**q + 3*g**4 + 4*g**4 - 4 - g**4 wrt g.
8*g**3
What is the third derivative of -159*m**2 - 2*m + 348*m**4 - 388*m**4 + m wrt m?
-960*m
Find the second derivative of 192*a**5 + 83*a**5 + 111*a**5 - 596*a wrt a.
7720*a**3
Let b = 31 - 28. What is the second derivative of -5*v**3 + 12*v**3 - 4*v**3 - 3*v - 2*v**b wrt v?
6*v
Let m be (-136)/40 - ((-4)/10 + 0). Let g(u) = -22*u + 53. Let q(y) = y. Let i(x) = m*q(x) - g(x). Differentiate i(d) wrt d.
19
Let j(s) be the second derivative of -9*s**5/20 + s**4/12 - 11*s**3/6 + 6*s - 3. What is the third derivative of j(x) wrt x?
-54
Let j(v) be the third derivative of 113*v**4/8 - 21*v**3/2 + 385*v**2 + v. Differentiate j(g) wrt g.
339
Let l(n) be the first derivative of 19*n**4 + 40*n + 78. Differentiate l(b) with respect to b.
228*b**2
Suppose -4*z + 3*m - 4 = -68, 17 = z - m. Find the second derivative of 26*k - k + z*k**5 - 9*k wrt k.
260*k**3
Find the third derivative of 99922*n**2 - 100184*n**2 - 5 - 43*n**3 + 2*n**4 + 5 wrt n.
48*n - 258
Let a be (3 + -3 - -1) + 1. Suppose -5*v = -a*v - 6. What is the third derivative of -3 + 2*m**v + 3 + 3*m**6 + 3*m**2 wrt m?
360*m**3
Let t(h) be the third derivative of -9*h**8/112 - h**6/120 + 52*h**5/15 + 116*h**2. Find the third derivative of t(k) wrt k.
-1620*k**2 - 6
Find the second derivative of 247*l - 4184321*l**2 + 4184321*l**2 - 210*l**3 wrt l.
-1260*l
Suppose -16*x = -40*x. Let d(w) be the third derivative of -1/4*w**4 - 2/3*w**3 + 8*w**2 + 0*w + x. What is the first derivative of d(o) wrt o?
-6
Let z(d) be the first derivative of d**5/15 + 5*d**3/6 + 8*d**2 - 17. Let m(g) be the second derivative of z(g). Differentiate m(v) with respect to v.
8*v
What is the third derivative of -4*m**4 + 2*m**4 + 120*m**2 - 122*m**2 + 26*m + m + 12*m**5 wrt m?
720*m**2 - 48*m
Let j be 2/(-4)*90/(-9). Suppose 30 = 4*q - 2*l, j*q - l - 37 = -7. Find the third derivative of m**2 + 4*m**q + 14 - 14 wrt m.
240*m**2
Let g(b) = -b**3 + 10*b**2 - 9*b - 1. Let n be g(9). Let c be 1*-2 - (n + -3). Find the third derivative of 2*r**3 - 4*r**3 + 3*r**3 - 4*r**c + 0*r**3 wrt r.
6
Let y(k) = -37*k**3 - 7*k**2 + 32*k - 10. Let h(b) = b**3 + b**2 - b + 2. Let o(t) = -3*h(t) - y(t). What is the second derivative of o(f) wrt f?
204*f + 8
Let l(i) be the second derivative of 13*i**5/10 + i**4/4 + i**3/3 + i**2 - 20*i. What is the second derivative of l(k) wrt k?
156*k + 6
Let s(a) = 401*a**3 + 6*a**2 - 6*a - 917. Let n(h) = -2*h**3 + h**2 - h + 1. Let r(q) = 6*n(q) - s(q). What is the derivative of r(z) wrt z?
-1239*z**2
Find the second derivative of -21 - 52*a**5 + 54 - 35 + 54*a wrt a.
-1040*a**3
Let w(m) be the third derivative of 0 + 0*m**3 + 11/210*m**7 - 4*m**2 - 13/60*m**5 + 0*m**6 + 0*m + 0*m**4. Find the third derivative of w(k) wrt k.
264*k
Let y be ((-3)/4)/((-3)/12). Suppose y*d - 5*d = -4. Differentiate 4 + d + 2*l**4 + 0 with respect to l.
8*l**3
Let m(v) be the first derivative of -4*v**5/5 + 3*v**2/2 - 37*v + 122. What is the first derivative of m(f) wrt f?
-16*f**3 + 3
Find the first derivative of -486 + 109 + 756*i - 408*i - 403*i wrt i.
-55
Let h = -27 + 27. Find the first derivative of h*w + 2*w - 9 + 4*w - w wrt w.
5
What is the second derivative of -21*z**2 + 236*z**2 + 71*z**2 + 18*z - 2 wrt z?
572
Find the first derivative of 177*m**4 - 537*m**3 + 537*m**3 + 268 wrt m.
708*m**3
Let n = 29 + -23. Find the first derivative of -15 - n*k + 5 + k wrt k.
-5
Let o(j) = -497*j**3 + 36*j**2 - 9*j + 33. Let r(q) = 124*q**3 - 9*q**2 + 2*q - 8. Let y(h) = 2*o(h) + 9*r(h). Find the third derivative of y(p) wrt p.
732
What is the first derivative of 547*x**2 - 5942*x - 244 + 5942*x wrt x?
1094*x
Let s(u) be the second derivative of 0 + 5/4*u**4 - 5*u - 2/3*u**3 + 0*u**2. What is the second derivative of s(c) wrt c?
30
Suppose 0 = -j + 4, -3*y + 34 = -0*y + 4*j. Let c be 3/(36/8)*y. What is the first derivative of -21 + 2*t**4 + 2*t**c + 15 wrt t?
16*t**3
Let v(j) = -6*j**3 