*6/120 + h**5/30 - 5*h**3/3 - 220*h**2. What is the third derivative of a(k) wrt k?
-48*k + 366
Let y(f) = 2*f + 18. Let x be y(-6). Suppose 3*m - 12 = -3*a - m, 3*m = 0. What is the third derivative of -a*c**6 - 3*c**2 + 8*c**6 + c**x wrt c?
600*c**3
Suppose 10 = -4*a - n - 5, -3*a + 2*n = 3. Let y be (1/a)/((-2)/18). Differentiate 2*q**y - 10*q**2 + 5 + 10*q**2 with respect to q.
6*q**2
Let r(i) = -1013*i**4 + 7*i**3 + 7*i - 923. Let n(l) = -338*l**4 + 2*l**3 + 2*l - 308. Let g(k) = -7*n(k) + 2*r(k). What is the derivative of g(p) wrt p?
1360*p**3
Suppose -4*c + 4*o + 178 = -34, -3*c + 154 = -2*o. Differentiate -42 + 48*t + c*t**4 - 48*t wrt t.
192*t**3
Suppose -w - w + 16 = 0. Let y(t) = -t**3 + 7*t**2 + 9*t - 4. Let r be y(w). What is the third derivative of -2*d**2 + 4*d**2 + 5*d**r + 5*d**2 wrt d?
120*d
Let c(j) = 24*j**2 + 27*j - 5. Suppose -20 = -3*u - u. Let t(z) = 12*z**2 + 14*z - 3. Let i(b) = u*t(b) - 3*c(b). Find the second derivative of i(y) wrt y.
-24
Suppose 0 = 9*x - 784 + 298. Find the first derivative of -53 + 16*o**3 + x + 0*o**3 wrt o.
48*o**2
Let g(u) = -u**3 - 2*u - 1. Let o(j) = -77*j**3 - 4*j + 91. Let v(t) = 3*g(t) - o(t). What is the first derivative of v(k) wrt k?
222*k**2 - 2
Let m(l) be the second derivative of -l**3/6 + 3*l**2/2 - l. Let y be m(0). Find the second derivative of -y*r - 2*r**2 - r**2 - 3*r**2 wrt r.
-12
Let n(h) be the second derivative of 0*h**2 + 0*h**5 + 0 + 3/2*h**3 + 6*h - 3/10*h**6 + 0*h**4. What is the second derivative of n(j) wrt j?
-108*j**2
Suppose 4*w = 36 + 4. Let u be 9/2 - 15/w. Find the second derivative of 2*y + u*y + 5*y**3 - y wrt y.
30*y
Suppose -10*t + 30 = -4*t. Let g(s) = -s**2 - 11*s + 16. Let y be g(-12). What is the second derivative of t*q**3 - y*q + q**3 - 2*q**3 + q**3 wrt q?
30*q
Suppose 5*v = -f + 5*f + 15, 0 = -2*f - v - 25. Let x be 20/(-8)*36/f. What is the second derivative of 0*a - 7*a**3 + 0*a - x*a wrt a?
-42*a
What is the second derivative of -5*t**2 + 48*t**3 - 209*t - 555 + 273 + 282 wrt t?
288*t - 10
Let q = 94 - 89. Let s(o) be the third derivative of 1/120*o**6 - 6*o**2 + 0*o**q + 0*o - 1/6*o**3 + 0*o**4 + 0. Differentiate s(h) with respect to h.
3*h**2
Let v(w) be the third derivative of w**6/40 + 3*w**4/8 + 9*w**3/2 - 72*w**2. What is the first derivative of v(z) wrt z?
9*z**2 + 9
Suppose 27 = 3*w + 3*a, -5*w + 32 = a + 7. What is the first derivative of 1 - 11*k**w + 0 - 5*k**4 wrt k?
-64*k**3
Let g(n) be the third derivative of 0*n**5 - 3*n**2 + 0 + n + 53/6*n**3 + 0*n**4 + 3/40*n**6. What is the first derivative of g(l) wrt l?
27*l**2
What is the third derivative of 14*y**2 + 2*y**3 - 33*y**4 + 59*y**2 + 117*y**2 + 66*y**2 - 69*y**2 wrt y?
-792*y + 12
Let a(i) be the third derivative of 43*i**6/20 + 10*i**3 - 331*i**2. What is the first derivative of a(d) wrt d?
774*d**2
Let f(q) be the first derivative of 321*q**2 + 627*q + 182. Differentiate f(a) wrt a.
642
What is the second derivative of -2 + 21*s**4 + 107*s - 7*s - 4*s**4 - 103*s**4 - 92*s**4 wrt s?
-2136*s**2
What is the third derivative of -35*j**4 + 209*j**3 + 206*j**3 - 625*j**3 + 3*j + 208*j**3 + 41*j**2 wrt j?
-840*j - 12
What is the third derivative of -917 + 472 + 5*d**2 + 481 + 33*d**3 wrt d?
198
Let i(b) = -11*b - 4. Let x be i(3). Let h = x - -40. Find the second derivative of -2*n**2 + 2*n - h*n + 5*n**2 + n**2 wrt n.
8
Let d be ((1 - -1) + 2/(-2))*26. What is the derivative of 14*q**3 + 8*q**3 + d - 4 + 12*q**3 wrt q?
102*q**2
Let n(l) = 37*l**3 + l**2 + 47*l + 1. Let a(k) = 25*k**3 + k**2 + 31*k + 1. Let f(t) = 7*a(t) - 5*n(t). What is the second derivative of f(h) wrt h?
-60*h + 4
What is the third derivative of -3*c**4 - 8*c**6 + 12 + 6*c**6 + 10 + 0*c**6 + c**2 wrt c?
-240*c**3 - 72*c
Let a(k) be the first derivative of k**7/7 + 53*k**6/6 - k**3/3 - 77*k**2/2 - 59. What is the third derivative of a(i) wrt i?
120*i**3 + 3180*i**2
Suppose 0 = -8*r + 10*r. Suppose -3*j + 6 = -r. What is the third derivative of 9*v**2 + j*v - v - 12*v**5 - v wrt v?
-720*v**2
Let c(b) = -480*b**2 - 311. Let i(o) = -479*o**2 - 312. Let d(v) = -3*c(v) + 2*i(v). What is the derivative of d(m) wrt m?
964*m
Let m(h) be the third derivative of h**8/168 + 53*h**6/120 - 211*h**5/60 - 892*h**2. Find the third derivative of m(g) wrt g.
120*g**2 + 318
Let v(p) be the second derivative of 5*p**2 + 0 - 13/6*p**3 - 12*p. What is the first derivative of v(g) wrt g?
-13
Let n(s) = -52*s**4 - 5*s**2 - 5*s + 52. Let q(a) = -54*a**4 - 6*a**2 - 6*a + 51. Let h(w) = 6*n(w) - 5*q(w). What is the first derivative of h(k) wrt k?
-168*k**3
Find the third derivative of -80*t**2 - 35*t**3 + 39*t**3 + t - 2*t**4 + t wrt t.
-48*t + 24
Let j be 2/(3 - 3 - -1). What is the third derivative of 2*t**2 + 3*t**3 - 6*t**2 - 7*t**j wrt t?
18
Let w be (-28)/(-2) + (-32 - -31). Let a(m) be the third derivative of -w*m**2 - 4/3*m**3 + 0 + 0*m + 3/8*m**4. Find the first derivative of a(b) wrt b.
9
Let p(r) = -55*r**4 + 5*r**3 - 10*r**2 - 5*r + 187. Let t(x) = -x**4 - x**3 + 2*x**2 + x - 1. Let y(b) = -p(b) - 5*t(b). Differentiate y(c) wrt c.
240*c**3
Let g = -141 - -146. What is the second derivative of 7*d - 39*d + 2*d - 49*d**g wrt d?
-980*d**3
Let q(o) be the first derivative of -6*o**7/7 + 11*o**4/3 + 48*o + 5. Let f(z) be the first derivative of q(z). What is the third derivative of f(p) wrt p?
-2160*p**2
Suppose -6 = 4*q + 4*i - 6*i, 0 = 4*i - 12. Find the third derivative of 4*k**6 - 32*k**2 + 0*k**5 + q*k**5 + 17*k**6 wrt k.
2520*k**3
Let f(r) = 32*r**2 - 31 + 13 - 29 - 3. Let s(p) = 11*p**2 - 17. Let m(a) = -3*f(a) + 8*s(a). Differentiate m(o) wrt o.
-16*o
Let j(u) = u**3 - 8*u**2 + 9*u - 9. Suppose m - 6*m - 5*b = -55, -2*m + 26 = 3*b. Let p be j(m). Find the second derivative of 8*h - 10*h + p*h - h**5 wrt h.
-20*h**3
Find the third derivative of 309*p**3 - 309*p**3 + 90*p**4 + 4*p**2 + 0 - 4 wrt p.
2160*p
Let d(t) be the second derivative of -t**8/336 + t**5/3 + 11*t**2 - 3*t. Let c(m) be the first derivative of d(m). Find the third derivative of c(l) wrt l.
-60*l**2
What is the third derivative of 714*i - 136*i**3 - 133*i**2 - 714*i wrt i?
-816
Let v(z) be the second derivative of -z**6/40 + z**4/2 + z**3/6 + 11*z. Let d(f) be the second derivative of v(f). What is the first derivative of d(i) wrt i?
-18*i
Let x(r) = 8*r + 0*r + 6*r**2 + 6 - 17*r**2. Let f(g) = 12*g**2 - 8*g - 7. Let o(d) = -6*f(d) - 7*x(d). Find the second derivative of o(s) wrt s.
10
Let x(r) be the first derivative of -19/6*r**6 + 0*r + 0*r**5 + 0*r**2 - 25/3*r**3 + 0*r**4 + 25. Find the third derivative of x(n) wrt n.
-1140*n**2
Let i(d) be the first derivative of -99*d**3 + 379*d + 460. What is the derivative of i(p) wrt p?
-594*p
Suppose 4*o - 112 = -3*o. Let k = -10 + o. Differentiate 3*j**3 + 5*j**3 - k*j**3 + 11 with respect to j.
6*j**2
Let b(c) = c**3 - 2*c**2 - 10*c + 10. Let k be b(4). Let t be 5/(-2)*(-12)/6. What is the second derivative of -v + 4*v**t + k*v**3 - 9*v**3 + 7*v**3 wrt v?
80*v**3
Let p(z) = -133*z**4 + 7*z**3 - 7*z - 447. Let q(b) = 134*b**4 - 6*b**3 + 6*b + 445. Let w(i) = 6*p(i) + 7*q(i). Differentiate w(g) wrt g.
560*g**3
Suppose 0*w + 27 = 2*w - y, 3*w = -4*y + 46. Find the third derivative of 9*x**2 + w*x**3 + 2*x**3 + 0*x**3 + 15*x**2 wrt x.
96
Let m be (-12)/15*(1 + -6). Differentiate -11*f**4 + 13*f**4 + 13*f**m - 1 + 2 with respect to f.
60*f**3
Suppose 0 = 4*o + 5 + 3. Let k = o + 7. What is the third derivative of 2*d**5 + 2*d**4 - 2*d**4 + 7*d**2 - d**k wrt d?
60*d**2
Let w(v) = -v**2 + 12*v + 1. Let u be w(9). Let f be 6/(-7)*u/(-3). Find the second derivative of -8 + 6*y**2 - 5*y + f wrt y.
12
Let p = -17 - -36. What is the second derivative of 34*h - 9*h - 16*h - p*h**4 wrt h?
-228*h**2
Let f(s) be the third derivative of s**6/36 + 25*s**4/24 + 14*s**3/3 + 6*s**2. Let y(c) be the first derivative of f(c). Differentiate y(b) with respect to b.
20*b
Find the first derivative of -10 - 161*s**3 + 102 + 108*s**3 wrt s.
-159*s**2
Suppose -c + 2*a = -22, 2*a + 46 = 3*c - 4. What is the first derivative of c*f + 2*f - 4*f - 3*f - 12 wrt f?
9
Let j(a) be the first derivative of a**4/4 + 11*a**3 - 403*a**2/2 - 202. What is the second derivative of j(i) wrt i?
6*i + 66
Let d(w) = -307*w**3 + w**2 - 6*w + 10. Let s(o) = -o +