hat is the third derivative of -13*z**4 + 52*z**4 - 5*z**2 + 63*z**4 + 19*z**2 wrt z?
2448*z
Let y(n) be the second derivative of -n**4/12 + n**3 + 6*n**2 - 2*n. Let o be y(7). What is the third derivative of -3*q**5 - o*q**2 - 3*q**2 + 0*q**5 wrt q?
-180*q**2
Let w(p) = 4*p - 21. Let a be w(6). What is the derivative of -8*u**3 + 10 - 9*u**a + 0*u**3 wrt u?
-51*u**2
Find the third derivative of 0*r**2 - r**2 - 35*r - 98*r - 16*r**6 + 4*r - 78*r**6 wrt r.
-11280*r**3
What is the third derivative of 3*d - 22494*d**4 + 3*d**6 + 2*d**6 - 5*d + 22494*d**4 - 49*d**2 + 41*d**3 wrt d?
600*d**3 + 246
What is the third derivative of -21 + 14 + 96*v**3 - 26*v**3 + 14 - 4*v**2 + 2*v**2 wrt v?
420
Let z(x) = x**3 - 1. Let m be z(2). Let t = m - 4. Find the second derivative of 5*u - 20*u**3 + 10*u**4 + 20*u**t - 4*u**4 wrt u.
72*u**2
Let i(v) = -48*v**3 - 8*v**2 - 269*v + 2. Let q(n) = -2*n**2 - n + 1. Let a(j) = -i(j) + 2*q(j). What is the second derivative of a(z) wrt z?
288*z + 8
Let t(w) = 5*w**4 - 7*w**3 - 83*w**2 + 6. Let x(g) = 14*g**4 - 23*g**3 - 249*g**2 + 17. Let b(u) = 17*t(u) - 6*x(u). Find the third derivative of b(r) wrt r.
24*r + 114
Let s(t) = -582*t**3 - 104*t**2 + 5. Let y(f) = 1165*f**3 + 209*f**2 - 9. Let p(j) = 5*s(j) + 3*y(j). Find the third derivative of p(a) wrt a.
3510
Let o(k) = -19*k**2 - 24*k - 62. Let w(v) = 108*v**2 + 145*v + 372. Let s(b) = -34*o(b) - 6*w(b). What is the first derivative of s(z) wrt z?
-4*z - 54
Let o(n) be the third derivative of 89*n**6/60 + 137*n**5/15 + n**4/12 + 10*n**2 - 23*n. Find the third derivative of o(u) wrt u.
1068
Suppose -4*z - 5*h = -12, 4*h = 3*z - 8 - 32. Let c = 37 + -34. Find the second derivative of 4*y + 4*y + 19*y**c - z*y**3 wrt y.
66*y
Let c(s) be the second derivative of 3*s + 0*s**3 + 0 - 3/2*s**4 + 5*s**2. What is the first derivative of c(r) wrt r?
-36*r
What is the derivative of -4*f**3 + 4*f**3 + 152 + 68*f**3 - 70 wrt f?
204*f**2
Let f(g) = -8 + 6 + 3 + 3*g. Let y be f(1). Find the first derivative of 0*w**4 + y*w + w**4 - 4*w - 4 wrt w.
4*w**3
Let t(z) = 172*z + 0*z**3 + z**3 - 171*z + 1. Let l(f) = -18*f**5 - 6*f**3 + 3*f - 6. Let w(q) = l(q) + 6*t(q). Find the second derivative of w(o) wrt o.
-360*o**3
Let c(a) be the second derivative of -7*a**5/20 - 11*a**4/12 + 73*a**3/3 + 7*a + 1. Find the second derivative of c(d) wrt d.
-42*d - 22
What is the derivative of 65*w - 143*w - 90 + w**2 + 60*w wrt w?
2*w - 18
Find the second derivative of -63*o - 106*o**4 - 4*o - 4*o**5 + 33*o**2 + 106*o**4 wrt o.
-80*o**3 + 66
Differentiate -103 - 3*i - 10*i + 111*i with respect to i.
98
Let u(x) be the second derivative of -63*x**5/10 + x**4/6 - 38*x**3/3 + 41*x. What is the third derivative of u(v) wrt v?
-756
Let y(r) be the third derivative of -2*r**2 + 0*r + 0 + 19/6*r**3 - 3/4*r**4. Find the first derivative of y(v) wrt v.
-18
What is the second derivative of 0*g + 124*g**2 - 11 + 10 + 2*g + 5 wrt g?
248
Let n(r) be the first derivative of 19*r**7/21 + 5*r**4/4 - 12*r - 46. Let g(b) be the first derivative of n(b). What is the third derivative of g(w) wrt w?
2280*w**2
Let h(i) = 6*i + 13. Let t be h(11). What is the second derivative of -t*u**5 - 112*u**5 - 24*u + 169*u**5 wrt u?
-440*u**3
Suppose 0 = -u - 0*n + 2*n + 6, -4*u + 2*n + 36 = 0. Suppose -12*i + 7*i + u = 0. What is the first derivative of -48*l**i + 48*l**2 - 4 - 7*l**3 wrt l?
-21*l**2
Let v be (-12)/9*(-30)/4. Let i = v + -7. What is the second derivative of i*k**3 - 3*k + 4*k - 2 + 2 wrt k?
18*k
Find the second derivative of 4*h**5 - 11*h**5 + 1 + 10*h**5 - 6*h**2 - 30*h wrt h.
60*h**3 - 12
Find the third derivative of -231*c**3 - 223*c**3 + 22*c**2 - 230*c**3 + 594*c**2 + 710*c**3 + 4*c**5 wrt c.
240*c**2 + 156
Let n(f) be the second derivative of 223*f**5/20 - 483*f**2/2 + 6*f - 24. Find the first derivative of n(y) wrt y.
669*y**2
Let m be 6*-1*(6 + -7). What is the second derivative of x + m*x**2 - 21*x**2 + 36*x**2 wrt x?
42
Let f(b) be the first derivative of 12*b**3 - 2*b**2 - 403*b + 42. What is the derivative of f(o) wrt o?
72*o - 4
Let l(q) = -27*q**2 + 22*q + 174. Let n(w) = -18*w**2 + 14*w + 116. Let f(k) = -5*l(k) + 8*n(k). What is the first derivative of f(y) wrt y?
-18*y + 2
Let d(p) = p**2 - 2*p. Let m(z) = z**2 + 8*z + 3. Let k be m(-8). Let j be d(k). What is the second derivative of 0*c**3 + 4*c - c - 6*c - j*c**3 wrt c?
-18*c
Let n(m) = 3*m**4 - 208*m**3 + 5*m**2 + 5*m + 275. Let x(a) = a**4 + a**3 + a**2 + a - 2. Let s(i) = -n(i) + 5*x(i). Find the first derivative of s(k) wrt k.
8*k**3 + 639*k**2
Let g(f) = f**2 + 2*f. Let z = 4 - 7. Let b be g(z). What is the second derivative of -102*a**3 + 102*a**b + 5*a - 11*a**5 wrt a?
-220*a**3
Let o = 8 - -2. Let d = o - 7. What is the second derivative of -d*x**3 - 6*x + 8*x - 4*x wrt x?
-18*x
Let w(m) be the second derivative of 61*m**5/20 + 2*m**4/3 + m**3/2 - 3*m + 20. Find the third derivative of w(q) wrt q.
366
Let t(g) be the second derivative of -31*g**5/10 + g**4/12 + 129*g**2/2 + 81*g. What is the first derivative of t(m) wrt m?
-186*m**2 + 2*m
Differentiate -108 + 160*k + 127 + 291 wrt k.
160
Let q(v) = 3*v**5 - 6*v**3 + v**2. Let f(k) = -7*k**3 - 4*k**3 + 6*k**3 + 4*k**5. Let s(r) = -6*f(r) + 5*q(r). Find the third derivative of s(j) wrt j.
-540*j**2
What is the third derivative of -27*n**2 + 5*n**2 + 5*n**2 + 10*n**2 + 164*n + 266*n**3 + 8*n**2 wrt n?
1596
Let f(h) = 2*h**2 + 10*h - 18. Let a be f(4). Find the second derivative of -2 + a*s**3 - 72*s**3 - 26*s + 2 wrt s.
-108*s
Let q(l) = -52*l**2 + 52*l + 3. Let y(k) = 54*k**2 - 51*k - 4. Let r(u) = 4*q(u) + 3*y(u). Find the second derivative of r(a) wrt a.
-92
Let r be 1/((-7)/2) - (-44)/7. Find the third derivative of 0*g**2 - 15*g**6 - 3*g**r + 4*g**2 wrt g.
-2160*g**3
Let z(j) be the second derivative of -j**6/20 - j**3 - 11*j**2/2 - 11*j. Let f(m) be the first derivative of z(m). Differentiate f(k) wrt k.
-18*k**2
Let h be -4 + (-1 - 1) + 8. What is the third derivative of 3*d**4 - 11*d**h + 0*d**2 - 10*d**2 wrt d?
72*d
Let x = 72 + -63. What is the third derivative of -c**2 - 11*c**2 + 0*c**3 - x*c**3 - 2*c**3 wrt c?
-66
Let i(l) be the second derivative of -l**7/2 - l**4/3 - 13*l**3 - 3*l**2/2 + 895*l. Find the second derivative of i(d) wrt d.
-420*d**3 - 8
Let x = -7 + 11. What is the second derivative of 12*t**4 + 3*t**x - 8*t**4 + 19*t wrt t?
84*t**2
Let a(b) = b**3 - 5*b**2 + 7*b - 9. Let i be a(4). Suppose -i*f + f + 4 = 0. What is the third derivative of -2*s**3 + 6*s**3 - 4*s**3 - 4*s**4 + 3*s**f wrt s?
-96*s
Suppose 5*d - 19 = 2*b + 2, 0 = b - 2. Find the second derivative of -2*z - 4*z - z + 2*z + 2*z**d wrt z.
40*z**3
What is the third derivative of 3*y**6 - 9*y**6 - y**6 + 20*y**6 - y**5 - 37*y**2 wrt y?
1560*y**3 - 60*y**2
Suppose 4*s = -2*a + 14, -19 = -2*s + 5*a - 6. Suppose 0 + 9 = 3*c. Find the third derivative of -3*p**2 - 69*p**c + 2*p**s + 69*p**3 + p**2 wrt p.
48*p
Let f = -19 + 27. Let z = f - 7. Differentiate 8*c - 8*c + z + 4*c**2 wrt c.
8*c
Let c be 2 + 2 - 7/((-35)/(-10)). What is the third derivative of 15*f**2 - 21*f**6 - f**2 + 7*f**2 + c*f**2 wrt f?
-2520*f**3
Suppose -2*q = -9 - 1. Let w(m) = m**3 - 2*m**2 + 25*m - 46. Let t be w(2). What is the first derivative of q + 0*j**t + 2 - 5*j**4 - j**4 wrt j?
-24*j**3
Let f(j) = -47*j**2 + 7*j + 6. Let g(n) = -48*n**2 + 9*n + 8. Let i(u) = -6*f(u) + 5*g(u). Differentiate i(h) with respect to h.
84*h + 3
Let b(j) = -j - 9. Let g be b(-12). Find the third derivative of -4*f**2 - g*f**6 - 14 + 7 + 7 wrt f.
-360*f**3
Let h(x) be the third derivative of -x**6/12 - 197*x**5/60 - 84*x**2. Find the third derivative of h(m) wrt m.
-60
Find the third derivative of -821*k**2 + 2*k**4 + 323*k**2 + 405*k**2 - 6*k**4 + 235*k**6 + 3*k**4 wrt k.
28200*k**3 - 24*k
Let k be (-12)/30*(-3 - -13). Let y be k/(-1)*(-187)/(-44). What is the first derivative of 2 + y*s - 15*s + 6 wrt s?
2
Suppose -5*d - 3*s + 125 = -0*d, 0 = 2*s + 10. Let q = d + -18. Find the second derivative of -2*i - i**3 - 2*i + q*i**2 - 10*i**2 wrt i.
-6*i
Let o(n) = -63*n**2 + 17*n - 27. Let m be ((-84)/(-8) - 2)*-1*2. Let h(k) = 21*k**2 - 6*k + 9. Let d(a) = m*h(a) - 6*o(a). Differentiate d(u) with respect to u.
42*u
What is the second derivative of -2227*l**