.
6240*i**2
Let s(h) be the second derivative of 5/12*h**4 + 0*h**3 + 9*h + 3/4*h**5 + 0*h**2 + 0. Find the third derivative of s(k) wrt k.
90
Suppose 3*s - 6 = 0, 3*s + 66 = c + 2*c. Find the second derivative of l + c + 19*l**4 - 24 wrt l.
228*l**2
What is the third derivative of 3*i**2 + 223*i - 219*i + 256*i**5 - 20*i**5 wrt i?
14160*i**2
Suppose 5*a - 5*q - 39 - 1 = 0, 5*q - 4 = a. Let o = 14 - a. Find the third derivative of -11*i**2 + 7*i**o + 6*i**2 + 15*i**2 wrt i.
42
Let q(c) = -c**3. Let u(o) = -39*o**3 + 38*o**2. Suppose -3*i + 2 = -1. Let h(d) = i*u(d) - 6*q(d). Find the third derivative of h(x) wrt x.
-198
Let y be 1/(-3) + 70/30. Differentiate -o**2 + 0*o**2 + 8*o**y - 1 with respect to o.
14*o
Let h(s) = -456*s**3 + 6*s**2 + 5*s - 20. Let v(r) = -454*r**3 + 6*r**2 + 4*r - 20. Let a(g) = 4*h(g) - 5*v(g). Find the third derivative of a(t) wrt t.
2676
Let w(j) be the first derivative of 0*j - 16 + 0*j**4 + 0*j**6 + 0*j**5 + 0*j**2 + 12/7*j**7 + 5*j**3. What is the third derivative of w(s) wrt s?
1440*s**3
Let z be (4/(-8))/(6/(-36)) - -1. Let d(o) be the third derivative of 5*o**2 + 0*o + 0 + 1/3*o**3 + 1/30*o**5 + 0*o**z. What is the derivative of d(k) wrt k?
4*k
Find the second derivative of 89*f**5 + 5*f**5 + 161*f**3 - 282*f - 161*f**3 wrt f.
1880*f**3
Let n(k) be the first derivative of 231*k**3 + 4*k**2 - 8*k + 500. Find the second derivative of n(v) wrt v.
1386
Let z(s) be the second derivative of -21/2*s**2 - 2*s**3 + 0 + 17*s. Find the first derivative of z(r) wrt r.
-12
Differentiate -7 + 0 + 101*v**3 - 38 + 2*v**2 wrt v.
303*v**2 + 4*v
Let g(v) be the second derivative of 104*v**3/3 + 395*v**2/2 - 24*v - 4. Find the first derivative of g(x) wrt x.
208
Let d(w) = -w**2 + 8*w + 9. Let s be d(9). Find the second derivative of -6*q + 3*q**2 + s*q - 7*q**2 + 0*q wrt q.
-8
Let q(i) be the first derivative of 64*i**3/3 - 12*i**2 + 60. Find the second derivative of q(t) wrt t.
128
Let s(c) = 31*c**5 + 4*c**4 - 5*c**2 + 4. Let u(h) = -31*h**5 - 3*h**4 + 6*h**2 - 3. Let d(p) = -3*s(p) - 4*u(p). Find the third derivative of d(i) wrt i.
1860*i**2
Let g = -17 - -20. Find the first derivative of 2 - 2*j + 2*j + g*j wrt j.
3
Suppose -r + 168 = 2*r. Suppose -2*t = -3*s + r, -t = 2*s - s - 12. Differentiate -2 + s*m**2 - 14*m**2 + 4 + 1 with respect to m.
4*m
Let h(k) be the second derivative of 0*k**5 + 0*k**4 + k**3 + 0 + 9*k + 0*k**2 - 2/5*k**6. Find the second derivative of h(r) wrt r.
-144*r**2
Suppose -d - 1 = -8. Suppose -2*w + 5 = 3*w + 5*n, 3*w + 5*n + d = 0. Find the second derivative of 5*k - k + w*k - 10*k**5 - k wrt k.
-200*k**3
Let h(l) be the second derivative of -l**6/8 + 4*l**5/5 + 21*l**2 - 32*l. Let a(s) be the first derivative of h(s). Find the third derivative of a(i) wrt i.
-90
Let x = 6 - 2. Suppose -13 = 20*k - 133. Find the first derivative of -4 - k*w**x + 32*w**4 + 3 - 15*w**4 wrt w.
44*w**3
Suppose -3*a - 3*p + 21 = 0, 8*a - 3*a = 3*p - 5. What is the first derivative of 31*l**a - 7 + 48 - 14*l**2 wrt l?
34*l
Let v be (1 + 0)/(4/(-12)). Let d be 9/v + 0 - -3. Find the second derivative of -4*q + 4*q**3 + 2*q**3 - q**3 + d*q wrt q.
30*q
Let v(n) = 265*n**3 + 8*n**2 - 80*n + 4. Let u(l) = -2*l**2 - l - 1. Let r(m) = 4*u(m) + v(m). Find the second derivative of r(t) wrt t.
1590*t
Let g(m) = 651*m**3 + 18*m**2 - 3002*m - 9. Let s(j) = 163*j**3 + 4*j**2 - 751*j - 2. Let p(y) = -2*g(y) + 9*s(y). Find the second derivative of p(z) wrt z.
990*z
Let b(p) = -18*p**3 - p**2 - p - 1. Let n be b(-1). What is the third derivative of -22*x**6 - 39*x**3 + n*x**3 + 19*x**2 + 22*x**3 wrt x?
-2640*x**3
Let f(r) be the second derivative of -13*r**4/2 + 55*r**3/2 - 139*r. What is the second derivative of f(s) wrt s?
-156
Suppose 4*f - 3 = 5*f. Let d = 1 - f. What is the second derivative of -4*v**5 - 2*v**4 + 2*v**d - 2*v - v wrt v?
-80*v**3
Let x(l) be the third derivative of -193*l**5/12 + 485*l**3/6 - 7*l**2. What is the derivative of x(p) wrt p?
-1930*p
Let i(k) be the second derivative of k**6/12 + k**3 + 5*k**2 + 14*k. Let w(a) be the first derivative of i(a). Differentiate w(h) with respect to h.
30*h**2
What is the second derivative of -h**4 - 4424*h - 112*h**4 + 4343*h - 22*h**4 wrt h?
-1620*h**2
What is the second derivative of 2*b + 97 + 89 - b - b**4 - 175 - 5*b**2 wrt b?
-12*b**2 - 10
Suppose 19 = 5*g - 4*j, 0 = 4*j + 2 + 2. Suppose -k + 1 + g = 0. What is the third derivative of -c - 7*c**3 + k*c**3 - 3*c**2 + c wrt c?
-18
Let v(r) = -602*r - 823. Let t(p) = 300*p + 412. Let z(w) = 5*t(w) + 2*v(w). Differentiate z(o) wrt o.
296
Let o(s) = 8*s - 7. Suppose -4 = -2*m - 8. Let l(c) = 17*c - 14. Let u(d) = m*l(d) + 5*o(d). What is the first derivative of u(v) wrt v?
6
Let l = 70 + -56. What is the second derivative of -l*m + 38*m**5 + 375*m**3 + 44*m - 375*m**3 wrt m?
760*m**3
Let u be 16/(-12)*9/(-2). Let n(z) = 4*z + 72. Let t be n(-17). Differentiate -u - t*w**2 + 15*w**2 + 2*w**2 wrt w.
26*w
Let o(x) be the third derivative of -11*x**6/10 + 137*x**5/60 - 41*x**2. Find the third derivative of o(g) wrt g.
-792
Let v(h) = h + 2. Let t be v(8). Differentiate 11 - 10*b**2 + t*b**2 + 8*b**3 wrt b.
24*b**2
Let x(k) = -k**4 - 4*k**2 - 17*k + 4. Let v(m) = m - 19 - m**2 - 2*m - 22 + 42. Let o(b) = 4*v(b) - x(b). What is the second derivative of o(q) wrt q?
12*q**2
Let m(a) be the second derivative of -85*a**4/12 + 155*a**2/2 - 117*a - 2. What is the first derivative of m(s) wrt s?
-170*s
Let q = -6 + 8. Let x be 185/15 - q/6. Differentiate 32*b**3 + 3 - 22*b**3 - x*b**3 wrt b.
-6*b**2
Let b = 191/372 + -3/31. Let v(l) be the second derivative of -5*l + 0*l**3 + 0*l**2 - b*l**4 + 0 + 1/5*l**5. Find the third derivative of v(o) wrt o.
24
Let h(z) be the first derivative of 0*z**5 + 0*z + 0*z**4 - 20 + 0*z**2 + 38/3*z**3 - 2/3*z**6. What is the third derivative of h(d) wrt d?
-240*d**2
Let v(g) = 56*g**2 - 46*g - 5. Let m(k) = -57*k**2 + 45*k + 4. Let b(j) = 5*m(j) + 4*v(j). What is the second derivative of b(a) wrt a?
-122
Let r(s) = -2*s**3 - s**2 - s - 2. Let b(l) = 26*l**3 - 6*l**2 + 2*l + 8. Let i(q) = b(q) + 4*r(q). Find the third derivative of i(z) wrt z.
108
Let i be (-31 + -5)*(-4)/12. Let p be (18/15)/((-4)/(-10)). Find the second derivative of 7*f**5 + i*f**5 - 25*f**5 - p*f wrt f.
-120*f**3
What is the first derivative of 227*o + 151*o + 187 - 124*o - 64*o + 184*o wrt o?
374
Let w(u) = -8*u**3 - 205*u**2 + 7*u. Let p(h) = 5*h**3 + 137*h**2 - 5*h. Let o(z) = 7*p(z) + 5*w(z). Find the third derivative of o(t) wrt t.
-30
Let c(u) be the first derivative of -u**4/2 - 5*u**2 - 65*u - 125. What is the derivative of c(x) wrt x?
-6*x**2 - 10
Find the second derivative of -17*g + 7*g + 5*g + 18*g + 2 - 38*g**2 wrt g.
-76
Let d(n) = n**2 + 5*n - 5*n + 5 - 9*n. Let l be d(9). Find the second derivative of -l*z**3 - 2*z**4 + 5*z**3 - 4*z - z**4 wrt z.
-36*z**2
Differentiate -6179 + 37*o**3 - 2*o**3 - 5*o**4 + 3093 + 3160 wrt o.
-20*o**3 + 105*o**2
Let g be 0/(-2 + 3 + 0). Suppose 3*u - 19 = -2*d + d, g = 4*d - 16. Find the second derivative of -5*r**5 + 15*r + 8*r**u - 3*r wrt r.
60*r**3
Let d be (3/6)/((-3)/(-18)). Find the third derivative of -4107*a**d - 6*a**2 + 4107*a**3 + 17*a**5 wrt a.
1020*a**2
Let z(v) = v**3 - 13*v**2 - v + 17. Let t be z(13). Let f be 0 - 2/(t/(-10)). Find the third derivative of -2*a**5 + f*a**2 + a**2 - a**2 wrt a.
-120*a**2
What is the third derivative of -21*w**6 + 4477*w + 120*w**6 - 2237*w + 65*w**2 - 2236*w wrt w?
11880*w**3
Find the second derivative of 290*m - 388*m**5 - 60*m**5 + 163*m wrt m.
-8960*m**3
Let o(q) = -12*q**3 - 2*q + 9. Let w(d) = 11*d**3 + 3*d - 9. Suppose -11*a - 2 = -12*a. Let j(f) = a*w(f) + 3*o(f). What is the first derivative of j(v) wrt v?
-42*v**2
Suppose 12*h = -19 + 55. Let j(i) be the second derivative of 1/12*i**4 + 0*i**2 + h*i + 0 - 1/6*i**3. Find the second derivative of j(m) wrt m.
2
Let r be ((-6)/(-9))/((-2)/(-105)). Find the third derivative of -r*x**2 + 3*x**4 + 53*x**2 + 0*x**4 wrt x.
72*x
Find the third derivative of 96*u**5 + 51*u**2 - 53*u**2 + 189*u**2 + 13*u**5 - 2*u**3 wrt u.
6540*u**2 - 12
Let x(u) = 102*u**2 + 7*u - 11. Let h(b) = -102*b**2 - 5*b + 13. Let p(i) = 5*h(i) + 6*x(i). What is the second derivative of p(d) wrt d?
204
Let b(i) be the