- 5. Let q(r) = -74*r**2 + 131*r - 6. Let c(b) = -6*l(b) + 5*q(b). What is the second derivative of c(z) wrt z?
136
Let i(y) be the second derivative of -3*y**8/280 - y**6/45 + 13*y**3/6 - y. Let d(o) be the second derivative of i(o). Find the third derivative of d(a) wrt a.
-432*a
What is the derivative of 4*p + 6*p - 11*p - 16*p - 90 wrt p?
-17
Let b(s) be the second derivative of -s**6/360 + s**5/5 - 7*s**4/3 + 22*s. Let u(x) be the third derivative of b(x). What is the first derivative of u(n) wrt n?
-2
Suppose 0 = s + 2*l - 10, 4 = -4*l - 0. Suppose -3*d = -3*n + 12, -d + 3*n = 4*d + s. Find the second derivative of d*w + 0*w + 4*w**3 - 5*w - w**3 wrt w.
18*w
Let k = 175 - 175. Let u(g) be the second derivative of 0 + 2*g**2 + 0*g**4 - g - 1/5*g**5 + k*g**3. Differentiate u(b) wrt b.
-12*b**2
Let y(a) be the second derivative of -9*a**5/5 - a**3/6 - 2*a**2 - 2*a + 10. Differentiate y(g) with respect to g.
-108*g**2 - 1
Let j = -1/8 - -1/6. Let h(d) be the third derivative of -3*d**2 + 0*d**4 + 0*d + j*d**6 + 0 + 0*d**3 - 1/12*d**5. Find the third derivative of h(n) wrt n.
30
Let a(f) = f**2 - f + 3. Let x(g) = 269*g**2 + 6*g + 130. Let t(v) = 6*a(v) + x(v). Find the first derivative of t(w) wrt w.
550*w
Let s(z) be the third derivative of -3*z**7/7 + 7*z**4/6 + 2*z**2. What is the second derivative of s(b) wrt b?
-1080*b**2
Let y(g) = 6*g**2 - 23*g - 222. Let l(f) = -f**2 - f + 3. Let c(t) = -3*l(t) + y(t). What is the derivative of c(h) wrt h?
18*h - 20
Let u(v) be the first derivative of v**4/2 + 5*v**3/3 + v - 15. Let w(g) = g**2 - 1. Let j(k) = -u(k) - w(k). Find the third derivative of j(b) wrt b.
-12
Find the second derivative of -164 - 157 - 7*z**4 - 5*z - 224*z - 18*z**3 - 31*z + 320 wrt z.
-84*z**2 - 108*z
What is the third derivative of -29*v**2 + 12*v**4 + 39*v**2 + 35*v**2 - 60*v**4 wrt v?
-1152*v
Let w(k) be the third derivative of 295*k**9/504 - 13*k**5/6 - 188*k**2. Find the third derivative of w(s) wrt s.
35400*s**3
Let m(y) be the third derivative of 11*y**7/7 + y**6/120 + 5*y**5/3 - 2*y**3/3 + 128*y**2. What is the third derivative of m(b) wrt b?
7920*b + 6
Let u(d) be the first derivative of -16*d**3 + 315*d**2/2 - 297. Find the second derivative of u(l) wrt l.
-96
Let p(m) = 9*m**3 - 6*m**2. Let b(n) be the first derivative of -n**4 + n**3 - 12. Let l(i) = 11*b(i) + 6*p(i). What is the third derivative of l(d) wrt d?
60
What is the second derivative of 3 + 24*b + 38*b + 23*b - 28*b**4 wrt b?
-336*b**2
Let f be (-9 + 2)/(6 + -7). Find the second derivative of -14*l**4 - 7*l - l - 9*l - f*l wrt l.
-168*l**2
Find the third derivative of 387*a**3 - 387*a**3 + 55*a**6 + 8*a - 2*a**2 + a**2 wrt a.
6600*a**3
Let j(a) be the first derivative of -a**9/42 - a**5/30 - a**2 + 1. Let d(c) be the second derivative of j(c). Find the third derivative of d(h) wrt h.
-1440*h**3
Suppose 3*m = -d + 5, -10 = -2*d - 0. Let f(x) be the first derivative of 0*x**3 + 9/4*x**4 - 9/2*x**2 + 5 + m*x. What is the second derivative of f(l) wrt l?
54*l
Let z(g) = 16*g + 9. Let w be z(5). Let q be (-91)/(-1)*(-1 + (7 - 5)). Find the second derivative of -l**5 + w*l - q*l - 5*l**5 wrt l.
-120*l**3
Let o(j) = 0*j**3 - j**2 + j + 6 - 7 - j**3. Let g(i) = 18*i**3 + 2*i**2 + 2. Let r(l) = g(l) + 2*o(l). What is the second derivative of r(u) wrt u?
96*u
Let j be 289/68 - (-2)/(-8). Suppose -3*s = p - 5, -j*p + 62 = -4*s + 2*s. Find the second derivative of 348*y**4 + p*y**5 - 348*y**4 + 11*y wrt y.
280*y**3
Let c(r) = 238*r**2 - r - 4. Let l(n) = -4*n**2 + 1. Let x(j) = c(j) + 2*l(j). What is the second derivative of x(y) wrt y?
460
Let i(p) = 3*p**2 - 5*p. Let k be i(2). What is the third derivative of 43*y**4 + 42*y**4 - 14*y**k + 30*y**5 - 85*y**4 wrt y?
1800*y**2
Let t(g) = -544*g**3 - 460*g**2 + 6*g - 6. Let x(h) = -1088*h**3 - 919*h**2 + 10*h - 10. Let j(u) = 5*t(u) - 3*x(u). What is the third derivative of j(v) wrt v?
3264
Let c(n) be the second derivative of -n**7/252 + n**6/144 + n**4/2 + 2*n. Let l(j) be the third derivative of c(j). What is the second derivative of l(t) wrt t?
-20
Let l(f) = -f**2 + 12*f + 6. Let t be l(10). Let k = 30 - t. What is the derivative of -k*y + 8 + 15*y - 7 wrt y?
11
Suppose 4*d = 216 + 1004. Differentiate 4*c**4 + d*c**2 - 305*c**2 - 6 with respect to c.
16*c**3
Let u(w) = -4*w**3 - 134*w**2 + 319*w + 3. Let x(n) = -4*n**3 - 132*n**2 + 316*n + 2. Let j(p) = 2*u(p) - 3*x(p). Find the second derivative of j(f) wrt f.
24*f + 256
Differentiate -15*d**2 + 11*d**2 - 177 + 4*d**2 - 3 - d**2 - 211*d with respect to d.
-2*d - 211
What is the third derivative of -2*i**2 - 62294*i**3 - 360*i**5 + 62294*i**3 - 149 wrt i?
-21600*i**2
Let z(b) be the first derivative of -b**3/3 - 6*b**2 + 8*b - 3. Let w be z(-12). What is the first derivative of 2 + y**2 - 2 - w wrt y?
2*y
Let s(z) be the third derivative of -3/40*z**6 + 0 + 0*z**4 - 21*z**2 + 0*z**3 + 1/20*z**5 + 0*z. What is the third derivative of s(x) wrt x?
-54
Suppose -2*t - 20 = 32. Let f = 29 + t. What is the second derivative of -7*c + 2 - 2 + 8*c**f - 3*c wrt c?
48*c
Suppose -5*o = f + 2*f + 5, -33 = -4*o + 5*f. Suppose q + 5*d = 2*q + 2, -2*d - 4 = -o*q. Find the second derivative of -2*r + 3*r**q + 4*r - r**3 wrt r.
12*r
Let w(h) be the first derivative of -22 + 0*h**2 + 13*h + 14/3*h**3. What is the first derivative of w(a) wrt a?
28*a
What is the derivative of 315*x + 10*x**4 + 321*x - 642*x + 150 wrt x?
40*x**3 - 6
Suppose -13 + 27 = 7*b. Let a(k) be the second derivative of -3*k**b - 1/30*k**6 + 0*k**3 + 0 + 0*k**5 + 6*k + 0*k**4. Find the first derivative of a(i) wrt i.
-4*i**3
Let s = -1630 + 1633. Let k(t) be the second derivative of -5/3*t**3 + 1/2*t**4 + s*t + 0*t**2 + 0. Find the second derivative of k(g) wrt g.
12
Let y(w) be the first derivative of 61*w**4 + 130*w**3/3 - 684. What is the third derivative of y(f) wrt f?
1464
What is the second derivative of 810*w**4 - 809*w**4 + 2 - 3*w - 79*w**3 - 1 wrt w?
12*w**2 - 474*w
Suppose -2 + 6 = 2*y. Find the third derivative of -5*c**2 - 10*c**5 + 3*c**5 - y*c**2 + c**5 wrt c.
-360*c**2
Find the third derivative of -22*a**2 + 12*a**2 + 0*a**2 - 226*a**3 + 43*a**3 - 220*a + 7*a**2 wrt a.
-1098
Let n(r) be the second derivative of 0*r**6 + 0*r**3 + 0*r**5 + 11/12*r**4 - 3/14*r**7 + 0 + 0*r**2 + 8*r. What is the third derivative of n(j) wrt j?
-540*j**2
Suppose -5*n + 4*x = -214, -169 = 2*n - 6*n + x. Suppose 0*l - n = -v + l, 4*l = -5*v + 165. Differentiate -v + 41 + 4*i**3 - 8*i**3 with respect to i.
-12*i**2
Let k = 128 - 124. Find the first derivative of -322*s**4 + 666*s**k + 35 - 315*s**4 wrt s.
116*s**3
Let j = 1938 - 1932. Let x(a) be the first derivative of 0*a + a**6 + 0*a**2 - 10/3*a**3 + 0*a**4 + j + 0*a**5. Find the third derivative of x(t) wrt t.
360*t**2
Let u(b) = 2*b**2 + 4*b - 3. Let h be u(1). What is the third derivative of -4*c**h - 19*c**4 - 15*c**2 + 0*c**4 + 4*c**3 wrt c?
-456*c
Let q = 7 + -3. Suppose -5*k - q*z + 36 = 0, 7*z = -4*k + 4*z + 28. What is the third derivative of -1 - k*s**3 + 5*s**2 - s**2 + 1 wrt s?
-24
Let j = 4 + 1. Suppose -j*d = -3*p - 6 - 4, -p + 2 = d. Differentiate -1 + 7 + p*t**4 - 5*t**4 + 0 wrt t.
-20*t**3
Let t(p) = 8*p**5 - 6*p**3 - 15*p**2 - 11*p. Let x(h) = -h**5 + h**3 + h**2 + h. Let u(v) = 2*t(v) + 22*x(v). Find the third derivative of u(s) wrt s.
-360*s**2 + 60
Let v be (92/8)/(3/6). Let s = v + -18. What is the second derivative of -29*l**s - 1 + 27*l**5 + 1 - 5*l wrt l?
-40*l**3
Find the second derivative of 38*h**5 + 252*h + 73*h + 60*h**5 - 2*h**3 - 21*h**5 wrt h.
1540*h**3 - 12*h
Find the second derivative of 131*o - 15*o**5 + 13*o**2 + 163*o + 35*o**5 - 12*o**5 wrt o.
160*o**3 + 26
Let y(n) be the second derivative of 27*n**4/2 - 32*n**3/3 - 2*n + 76. Find the second derivative of y(f) wrt f.
324
Let t(p) be the third derivative of 5/12*p**5 + 0 - 11/336*p**8 + 26*p**2 + 0*p**4 + 0*p**6 + 0*p**7 + 0*p + 0*p**3. Find the third derivative of t(x) wrt x.
-660*x**2
Let f(i) be the second derivative of -1/2*i**4 + 0*i**3 + 8*i - 1/2*i**2 + 0. Differentiate f(b) wrt b.
-12*b
Let o(i) = 4*i**3 - 5*i + 172. Let j(y) = -6*y**3 + 4*y - 173. Let f(k) = -3*j(k) - 4*o(k). Differentiate f(n) wrt n.
6*n**2 + 8
Find the second derivative of -677*p - 57838 + 57838 