24*q**3
Let n(r) be the third derivative of 9*r**7/14 + 2*r**5/5 - 101*r**2. What is the third derivative of n(j) wrt j?
3240*j
Let m(l) = l**4 + l + 1. Let b(y) = 15*y**4 - 5*y - 39. Suppose -42*g - 25 = -47*g. Let c(u) = g*m(u) + b(u). What is the derivative of c(a) wrt a?
80*a**3
What is the second derivative of 40*z - 38*z + 103*z**5 + 2*z**4 + 32 + 31*z**5 wrt z?
2680*z**3 + 24*z**2
Let s(k) = -20 + 10*k + k**2 - 2*k - 2*k + 4*k. Let g be s(-12). What is the second derivative of 3*l - 10*l**2 + 2*l**2 + g*l wrt l?
-16
Suppose 2*k + 2*d - 8 = -2*k, 3*k = 4*d + 17. Suppose -2*x - f = -2*f - 6, -k*f - 10 = -4*x. Find the second derivative of 8*q**4 + 7*q - 17*q + x*q wrt q.
96*q**2
Let w(o) = 36*o**5 + 2*o**3 - 2*o. Let y(h) = 145*h**5 + 9*h**3 - 8*h + 1. Let v(n) = -9*w(n) + 2*y(n). Find the second derivative of v(z) wrt z.
-680*z**3
Let b(c) be the third derivative of -14*c**7/5 + 8*c**5/5 - c**4/12 + 225*c**2 + 2*c. Find the third derivative of b(o) wrt o.
-14112*o
Let r = 14 + -12. What is the second derivative of -7*b + 12*b - 3*b + b + 8*b**r wrt b?
16
Find the third derivative of 8*c - 14*c**2 + 2*c - 3 - 10*c + 10*c**5 + 4*c**3 - 15*c**2 wrt c.
600*c**2 + 24
Let t(a) be the third derivative of 181*a**4/12 + 140*a**3/3 - 242*a**2. Differentiate t(g) wrt g.
362
Let n(a) be the first derivative of 2*a**3 + 2*a**2 - 4*a - 4. Let j(c) be the first derivative of n(c). Find the first derivative of j(t) wrt t.
12
Let w(c) be the second derivative of 0*c**2 + 5/42*c**7 + 14*c + 0*c**5 - 4/3*c**4 + 0*c**6 + 0*c**3 + 0. Find the third derivative of w(h) wrt h.
300*h**2
Suppose -3*s - 2*s + 19 = -2*r, -5*r + 20 = s. What is the derivative of -3*l**3 + 14*l**3 + 13 + 0*l**r wrt l?
33*l**2
Let k(q) be the second derivative of -17*q**6/30 - 3*q**5/10 + 151*q**3/2 - 72*q - 1. What is the second derivative of k(p) wrt p?
-204*p**2 - 36*p
Let n = 0 + 2. Suppose 11*v = 7*v + 8. Find the third derivative of -2*z**v - z**n + 0*z**6 + z**6 - z**2 wrt z.
120*z**3
Let t(c) = -442*c**2 + 345*c + 2. Let f(v) = -2652*v**2 + 2066*v + 13. Let x(l) = -2*f(l) + 13*t(l). What is the second derivative of x(w) wrt w?
-884
Let m(b) = 3*b**4 - 16*b**3 - 8*b**2 - 12*b - 3. Let v(o) = -o**4 - o**3 - o**2 + o - 1. Let x(t) = m(t) - 3*v(t). Find the third derivative of x(p) wrt p.
144*p - 78
Let m = -17 + 21. What is the first derivative of -17*b**m - 18*b**4 - 9*b**4 - 9 wrt b?
-176*b**3
Suppose -5*z - 3 = b - 0*z, -4*b = -3*z - 11. What is the third derivative of 182*k**2 + 9*k**4 + 2*k - 2*k - 200*k**b wrt k?
216*k
Suppose 6*t + 12 = 9*t. Find the first derivative of -172*u**t + 213*u**4 - 2*u**3 - 41 + 2*u**3 wrt u.
164*u**3
Let v(i) = 134*i**3 - 6*i**2 + 12*i - 12. Let k(q) = q**3 + q - 1. Let w(s) = 12*k(s) - v(s). Find the third derivative of w(l) wrt l.
-732
Let z(m) = 11*m - 27. Let i be z(15). What is the third derivative of 80*t**2 - i*t**2 - 4*t**3 + 79*t**2 wrt t?
-24
Let v(u) be the second derivative of 79*u**5/10 + 135*u**2 - 280*u. Differentiate v(l) wrt l.
474*l**2
Let k be (-6)/(-2) - (-5 - -4). Let h(g) be the first derivative of g + 0 - g + 2 - g**k - 5*g. What is the first derivative of h(m) wrt m?
-12*m**2
Suppose 7*n = 3*n. What is the third derivative of n*z**2 + 10*z**2 - z**2 + 18*z**4 - 4*z**4 wrt z?
336*z
Let d(r) = -2*r**4 - 3*r**2 + 18*r + 72. Let u(p) = 2*p**4 + 2*p**2 - 17*p - 72. Let s(a) = 2*d(a) + 3*u(a). Differentiate s(t) wrt t.
8*t**3 - 15
Let y(j) be the first derivative of 7*j**5/5 + 8*j**3/3 + 119*j - 19. Find the first derivative of y(d) wrt d.
28*d**3 + 16*d
Suppose -2*w = h, -4*h - 6 = -w - 3*h. Let c be (-1 + w)*(11 + -6). Find the third derivative of -7 + 4 + 3 + 10*a**2 - 10*a**c wrt a.
-600*a**2
Suppose -3*s + 0 + 53 = 5*h, 2*h + s - 21 = 0. Suppose -u + 5*n + 5 = n, -4*n = -2*u + h. Find the third derivative of 6*p**2 - 354 - p**u + 354 wrt p.
-60*p**2
Let k(g) be the first derivative of -7*g**5/60 - g**3/2 + 13*g**2/2 - 6. Let z(d) be the second derivative of k(d). What is the derivative of z(b) wrt b?
-14*b
Suppose -2*k + 17 = -5*l - 12, -k = 3*l + 2. What is the third derivative of 2*a**2 - 8*a**2 - 6*a**4 + 4*a**4 - k*a**4 wrt a?
-216*a
Let y(b) = -807*b**4 - 553*b**2 + 5*b + 5. Let v(l) = -403*l**4 - 276*l**2 + 3*l + 3. Let g(m) = -5*v(m) + 3*y(m). What is the third derivative of g(c) wrt c?
-9744*c
Let x(b) = -b**3. Let l(d) = 15*d**3 + 51*d**2 + d. Let f(r) = l(r) - 3*x(r). What is the third derivative of f(g) wrt g?
108
Suppose 3*a + a - 32 = 0. Let k be ((-4)/a)/(2/(-16)). Differentiate 32 - 4*i**k - 5*i**4 - 29 wrt i.
-36*i**3
What is the third derivative of -473*i**3 + 42 + 473*i**3 - 14 + 2*i**5 - 5*i**2 - 36*i**4 wrt i?
120*i**2 - 864*i
Let v = 12 - 9. What is the third derivative of v*m**2 - 1037*m + 1037*m - 15*m**2 + 3*m**6 wrt m?
360*m**3
Let r(t) be the first derivative of 3*t**8/56 + 5*t**4/4 + 29*t - 28. Let x(i) be the first derivative of r(i). What is the third derivative of x(f) wrt f?
360*f**3
Let r(l) = -344*l**3 + 5*l**2 - 348*l + 5. Let p(z) = -517*z**3 + 8*z**2 - 521*z + 8. Let u(y) = -5*p(y) + 8*r(y). Find the second derivative of u(t) wrt t.
-1002*t
Let r(a) = -42*a**3 + 6*a**2 - 18*a - 132. Let u(m) = m**4 + m**3 + m**2 - 2*m + 1. Let g(y) = -r(y) + 9*u(y). What is the third derivative of g(j) wrt j?
216*j + 306
Let z(w) = -1556*w - 721. Let g(f) = -778*f - 361. Let r(y) = -7*g(y) + 4*z(y). Differentiate r(j) with respect to j.
-778
Let y = -39 - -45. What is the third derivative of y*c**2 + 12*c**2 + 0*c**2 - 42*c**6 + 28*c**6 wrt c?
-1680*c**3
Let f(j) = -j**4 - j**3 - j**2 + 2. Let s(l) = -102*l**4 - 4*l**3 - 4*l**2 - 86. Let w(o) = 4*f(o) - s(o). Find the first derivative of w(t) wrt t.
392*t**3
Let t(l) = l**3 - 5*l**2 + l + 3. Let d be t(4). Let q be (-25)/d + (-4)/(-18). What is the second derivative of 10*b + 0 - 8*b + 0 - q*b**2 wrt b?
-6
Let g(n) be the second derivative of 13/56*n**8 + 0*n**2 + 23*n + 0*n**5 + 0*n**3 - 11/6*n**4 + 0*n**6 + 0 + 0*n**7. Find the third derivative of g(q) wrt q.
1560*q**3
Find the second derivative of -82*y + y**4 - 9 - 12 - 9 + 502*y**5 - 131*y**5 + 33 wrt y.
7420*y**3 + 12*y**2
Suppose 3*i = 5*g - 69, 12 = 4*g + i - 50. Let d = -15 + g. What is the derivative of -10 + 11 + 4*u**3 + d*u**3 wrt u?
12*u**2
Let x(j) = j**2 - j + 3. Let g be x(0). Let s be (88/(-10))/(g/(-15)). Find the second derivative of 2*n - 39*n**5 + s*n**5 + 2*n wrt n.
100*n**3
Let m = -485 + 489. Let j(w) be the third derivative of 0 + 1/24*w**4 + 0*w - m*w**2 + 5/6*w**3. What is the first derivative of j(i) wrt i?
1
Find the second derivative of -3 + 130*v - 139*v + 939*v**3 - 912*v**3 wrt v.
162*v
Let q(i) = i - 11. Let j be q(8). Let h = -1 - j. What is the second derivative of -3*x + 0*x**4 + x**4 + 4*x - h*x wrt x?
12*x**2
Suppose -372*a + 4 = -370*a. Let v(q) be the second derivative of q + 0*q**3 + 4*q**a + 0 + 1/20*q**5 + 0*q**4. Differentiate v(j) with respect to j.
3*j**2
Suppose 3*k - 8*k = -25. Let m(t) = t**2 - 5*t + 4. Let n be m(k). What is the derivative of -b**4 - 10*b**n + 7 - 3 wrt b?
-44*b**3
Let s(w) be the second derivative of 3*w**3 + 9/2*w**2 + 0 - 17*w. What is the derivative of s(b) wrt b?
18
What is the third derivative of 76*z**2 + 36*z**5 + 32*z**2 + 1 + 7*z**5 - 3 wrt z?
2580*z**2
Find the second derivative of 35*s**5 + 3 + 12*s + 925*s**4 - 925*s**4 - 129*s**5 wrt s.
-1880*s**3
Let d = -8 + 16. Let z(u) be the first derivative of -10 + d*u - 2*u**5 + 4*u**5 + 0*u. Differentiate z(a) with respect to a.
40*a**3
Let f = -17 - -21. Find the second derivative of -a + 51*a**4 - 58*a**4 + f*a wrt a.
-84*a**2
Let d be (-27)/(-5) + 102/(-30) + 4. What is the third derivative of -d*f - 3*f**4 - 266*f**3 - f**2 - 5*f + 264*f**3 + f wrt f?
-72*f - 12
Find the second derivative of 0*g**3 - 48*g - g**2 + 118*g - 2*g**3 wrt g.
-12*g - 2
Let x(f) be the first derivative of f**6/20 + 25*f**4/24 + 17*f**2 + 18. Let c(d) be the second derivative of x(d). What is the second derivative of c(w) wrt w?
36*w
Suppose -z = -3*w + 15, 2 + 4 = 3*w + 2*z. Differentiate -7*h**4 - 20 - 10*h**w + 4*h**4 with respect to h.
-52*h**3
Let o(c) be the second derivative of c**7/2520 + c**6/144 + 7*c**4/6 - c. Let i(s) be the third derivative of o(s). Find the second derivative of i(g)