*v**3 + 8*v - 6. Let d(h) = j*f(h) - 6*l(h). Find the second derivative of d(q) wrt q.
-12*q
Differentiate 8*h**2 + 26 - 52*h**2 + 14*h**2 wrt h.
-60*h
Find the second derivative of -k**3 - 20*k**2 + 567*k + 7 - 557*k - 5*k**2 wrt k.
-6*k - 50
What is the second derivative of 153*k + 53*k**4 - 65*k**4 - 162*k wrt k?
-144*k**2
What is the third derivative of -7*r**2 + 48*r**2 + 6512*r**5 - 6539*r**5 wrt r?
-1620*r**2
Suppose r = -2*a - 4, 9 = 5*r - 2*r - a. What is the third derivative of -22*c**4 + 22*c**4 + 11*c**6 - 10*c**r wrt c?
1320*c**3
Let h = 14 + -10. Suppose h*c - 21 = -5. What is the third derivative of -9*a**2 + 8*a**c + 8*a**2 - 3*a**4 wrt a?
120*a
Let f(x) = x. Let v(o) = -101*o - 71. Let z(b) = -3*f(b) + v(b). Differentiate z(s) wrt s.
-104
Let g(k) = 63*k**3 + 24*k**2 + 4*k - 320. Let t(q) = 125*q**3 + 42*q**2 + 7*q - 639. Let m(h) = 7*g(h) - 4*t(h). Differentiate m(s) with respect to s.
-177*s**2
Find the third derivative of 385*t**2 + 300*t**5 - 136*t**2 - 2*t**5 + 70*t**5 wrt t.
22080*t**2
What is the first derivative of 2*a**4 + 66*a**2 + 12*a**3 - 66*a**2 - 13 - 29 wrt a?
8*a**3 + 36*a**2
Suppose -3*i - 11 = -b, -3*b + 5*b - 4*i = 16. What is the derivative of -1756*g**2 + 1756*g**2 + g**3 - b*g**4 + 20 wrt g?
-8*g**3 + 3*g**2
Let k(j) be the third derivative of 0 + 0*j**6 + 0*j**5 + 13/2*j**3 + 7/30*j**7 + 0*j + 0*j**4 + 31*j**2. What is the derivative of k(p) wrt p?
196*p**3
Suppose -5*c + i + 36 - 1 = 0, c = -3*i - 9. Let q be ((-3)/c)/(7/(-56)). Find the third derivative of -4*n**3 + 3*n**3 - n**2 + n**3 + q*n**3 wrt n.
24
What is the third derivative of 58*v**3 + 364*v**2 - 7*v**3 + 23*v**3 + 88*v**3 wrt v?
972
Suppose 0*a + 5*a = 10. Suppose -2*q - a*q + 36 = 0. What is the second derivative of -q*r - 7*r + 14*r + 4*r**3 wrt r?
24*r
Let l be 1 - (-4 + (0 - 0)). Find the third derivative of 5*f**l - 21*f**5 + 13*f**4 + 6*f**2 - 13*f**4 wrt f.
-960*f**2
Suppose 7*l - 5*l = 10. Suppose 0 = -d + l*r - 15, -2*r + 12 = 2*r. Find the second derivative of d*j**5 - 2*j**5 + 2*j + 3*j + 3*j**5 wrt j.
20*j**3
Let j(d) be the second derivative of -94*d**7/21 + 91*d**3/3 - 469*d. Find the second derivative of j(q) wrt q.
-3760*q**3
Suppose 4*q - 7*q = -12. Suppose -6*z + q*z = -4. Find the third derivative of -3*k**z - 2*k**4 - 5*k**4 + 0*k**4 - 4*k**2 wrt k.
-168*k
Suppose -3*p - 10 + 19 = 0. What is the second derivative of -3*o - 5*o - 2*o + p*o**3 wrt o?
18*o
Let p(g) = 10*g + 3. Let j(o) = -o**3 + 13*o**2 + 2*o - 32. Let s be j(13). Let v(z) = 11*z + 4. Let i(h) = s*p(h) + 5*v(h). Differentiate i(r) wrt r.
-5
Let a(q) = 6*q - 7. Let z be a(7). Suppose 0 = 5*v - 5*b - z, -b + 15 = -4*b. What is the third derivative of -t**2 + 9*t**2 + 4*t**3 - 3*t**v + 6*t**2 wrt t?
24
Let o(k) = -6*k**2 - 8*k. Let i be -9*(-1)/6*2. Let c(s) = -17*s**2 - 23*s + 1. Let p(t) = i*c(t) - 8*o(t). Find the second derivative of p(m) wrt m.
-6
Find the second derivative of 9 - 1 - 1 - 14 + 196*j**2 - 2*j wrt j.
392
Suppose -2*r = 3*y - 26, -3*y - 2*y + 10 = 0. What is the third derivative of -6*f**2 + r*f**5 + 0*f**5 + 14*f**2 + 3*f**2 wrt f?
600*f**2
Let p(u) be the second derivative of u**4 + u**3/3 - 505*u**2/2 - 142*u - 1. Differentiate p(f) wrt f.
24*f + 2
Let l(x) be the first derivative of 50*x**7/7 - 23*x**3 - 1. Find the third derivative of l(a) wrt a.
6000*a**3
Suppose -2*q - 12 = -4*g, -7*q + 2*q + 5*g = 25. Let p(a) = 2 + 1 - 1 + 10*a + 9. Let d(f) = 9*f + 10. Let m(i) = q*d(i) + 3*p(i). Differentiate m(k) wrt k.
-6
Let w(a) = -a**2 + 8*a - 13. Let c(z) = -1. Let l(m) = -4*c(m) + w(m). Let u be l(6). Find the first derivative of 7 - 2*r - 2*r + u*r - 3*r wrt r.
-4
Suppose -5*u + 2*u + 2*s = -45, -4*s - 12 = 0. Suppose -u = -3*i - 4. What is the second derivative of -2 + 5*t + 2 - 7*t - i*t**2 wrt t?
-6
Let t(p) be the second derivative of p**4/4 - 17*p**3/6 - 29*p**2 + 45*p + 2. Find the first derivative of t(r) wrt r.
6*r - 17
Find the second derivative of -2*i**2 - 34*i**3 - 1 + 6*i + 18*i**5 - 20*i**5 + 34*i**3 wrt i.
-40*i**3 - 4
What is the third derivative of 45 + 131*c**2 - 19 + 231*c**4 - 113*c**2 - 23*c**2 wrt c?
5544*c
Let u(c) = -c**3 - 7*c**2 - 7*c - 3. Let w be u(-6). What is the third derivative of -74 + 0*x**3 + x**w + 74 + 9*x**2 wrt x?
6
Let v(u) be the second derivative of -26*u + 4*u**4 - 6*u**2 - 6*u**4 + 4*u**2. Differentiate v(c) wrt c.
-48*c
Let o = -20 - -24. What is the third derivative of -2*k**2 + 41*k**o - 15*k**6 - 41*k**4 wrt k?
-1800*k**3
Let n(d) be the third derivative of 0 + 0*d**4 + 0*d + 0*d**3 + 4/15*d**5 - 3/10*d**6 - 8*d**2. Find the third derivative of n(y) wrt y.
-216
Let a(s) be the first derivative of -5/3*s**6 + 0*s + 5 + 0*s**2 + 0*s**5 + 0*s**4 - 3*s**3. Find the third derivative of a(k) wrt k.
-600*k**2
Suppose -3*r + 5*l + 21 = -1, 12 = r - 4*l. Suppose -r*g = -7*g + 6. Find the third derivative of -g*u**6 + 2 - 2 - 8*u**2 - 5*u**6 wrt u.
-840*u**3
Let t be (9/(-30))/(2/4)*-5. Let w(l) be the third derivative of 1/20*l**5 + 0*l - 2*l**t + 7*l**2 + 0*l**4 + 0. Find the first derivative of w(a) wrt a.
6*a
Let y(t) be the second derivative of 10/3*t**3 + 0*t**5 + 0*t**6 + 0*t**4 + 9*t + 0 - 17/42*t**7 + 0*t**2. What is the second derivative of y(z) wrt z?
-340*z**3
Suppose 5*r - 5*o - 50 = -0*o, -15 = 3*o. What is the second derivative of 10*n**r - 2*n + 6*n - 22*n**5 wrt n?
-240*n**3
Let t = 62 - 48. Find the second derivative of 19*a - t*a**5 - 5*a**5 - 7*a wrt a.
-380*a**3
Suppose -4*o + 2241 = -3*o - a, 0 = -5*a + 20. Differentiate -2273*s**3 - 2 + o*s**3 - 1 with respect to s.
-84*s**2
Let h(w) be the second derivative of -5*w**4/12 - w**3/6 + 3*w**2/2 + w - 3. What is the second derivative of h(g) wrt g?
-10
Suppose 0*j - 33 = -3*j. What is the third derivative of 2*n**2 - j*n**2 - n**2 - 2*n**4 - 3*n**4 wrt n?
-120*n
Suppose -c - 5*t - 25 = 0, -4*c - 2*t + 6*t = -20. Suppose 8 = 2*i - 6. What is the first derivative of 2*r**2 + 4*r**2 + 0*r**2 + c*r**2 + i wrt r?
12*r
Suppose 4 + 2 = 3*u + 2*c, 0 = 5*c. What is the second derivative of w**2 + 18*w - 3*w - 5*w**u wrt w?
-8
Let p(t) = -425*t + 141. Let j(i) = -i + 1. Let l(r) = -2*j(r) - p(r). What is the derivative of l(y) wrt y?
427
Let c(q) be the first derivative of 67*q**4/4 + 79*q**2/2 + 3*q + 419. Find the second derivative of c(a) wrt a.
402*a
Let g(a) = a**2 - 12*a - 11. Let c be g(13). What is the third derivative of -127 + 254 + c*z**2 - 28*z**4 - 137 wrt z?
-672*z
Suppose -119 = -5*h - 44. Suppose h = 2*g + 3*g. Find the first derivative of g - 2*a + 2*a + a + 2 wrt a.
1
Let t(a) = a**3 + 28. Let o be t(0). Let f(q) = 13*q - 24. Let i be f(4). Differentiate -o*l**2 - 5 + 3*l**4 + i*l**2 wrt l.
12*l**3
Let h(c) be the second derivative of 0 + 2/3*c**6 - 13*c**2 + 0*c**4 + 0*c**3 + 8*c + 0*c**5. Differentiate h(d) with respect to d.
80*d**3
Let u(o) = -122*o**3 - 140*o**2 + 8. Let m(x) = 82*x**3 + 93*x**2 - 5. Let f(c) = -8*m(c) - 5*u(c). What is the third derivative of f(t) wrt t?
-276
Let u(c) = c**3 + 10*c**2 + 9*c + 10. Let y be u(-9). Let m = y + -2. Find the first derivative of 10*i + 2*i - 6*i - m + i wrt i.
7
Let n(h) be the second derivative of -23*h**5/10 + h**3/6 - 181*h**2 - 51*h - 4. Differentiate n(c) wrt c.
-138*c**2 + 1
Find the second derivative of -27*z - 2*z**5 - 5*z**4 + 33 - 14*z**4 - 33 wrt z.
-40*z**3 - 228*z**2
Let u(o) be the first derivative of 2*o**7/105 + 25*o**4/12 - 8*o**3 - 2*o - 20. Let j(t) be the third derivative of u(t). Differentiate j(k) with respect to k.
48*k**2
Let a(t) = 70*t**2 - 558*t - 17. Let k(d) = 24*d**2 - 186*d - 6. Let i(x) = 6*a(x) - 17*k(x). Find the second derivative of i(w) wrt w.
24
Let n(b) = -b**2 + 0*b**2 - 1 + 2*b**3 + 3 - 3*b**2. Let z(g) = g**3 - 1. Let h(c) = 3*n(c) + 6*z(c). Find the third derivative of h(o) wrt o.
72
Let u(h) be the second derivative of h**7/14 - 13*h**6/30 + 14*h**4/3 + 9*h + 2. What is the third derivative of u(c) wrt c?
180*c**2 - 312*c
Let y(h) be the first derivative of 197*h**4/4 - 13*h**3/3 + 16. What is the third derivative of y(p) wrt p?
1182
Let o(r) be the third derivative of 451*r**5/30 - 131*r**4/24 + r**3/3 + 640*r**2. Find the second derivative of o(f) wrt f.
1804
Let f(p) be the first derivative of 0*p + 16/3*p**3 - 5 + 4*p**2. F