
6
Let u(a) = a**3 + 9*a**2 + 8*a - 7. Let h be u(-6). What is the second derivative of -6*g**2 + h - 3*g - 53 wrt g?
-12
Let w(a) = -7*a**2 + 5*a + 6. Let c(t) = t**3 - 8*t**2 + 6*t + 7. Let z(f) = 4*c(f) - 5*w(f). Find the second derivative of z(p) wrt p.
24*p + 6
Let h(n) = 5. Let y(i) = 2*i**2 - 133*i - 304. Let g(x) = 3*h(x) + y(x). Differentiate g(j) with respect to j.
4*j - 133
Let c(z) = 45*z**4 - 8*z**3 - 8*z - 402. Let u(h) = 15*h**4 - 3*h**3 - 3*h - 134. Let n(b) = 3*c(b) - 8*u(b). Differentiate n(f) with respect to f.
60*f**3
What is the third derivative of -5*v - 3*v**3 - 4*v**2 + 6*v + 5*v**4 + 9*v**2 wrt v?
120*v - 18
Differentiate 1002*k**3 - 262 + 45 - 126*k**3 - 291*k**3 wrt k.
1755*k**2
Let l(u) be the second derivative of -445*u**4/12 + 7*u**3/6 + 14*u**2 - 23*u - 1. What is the second derivative of l(i) wrt i?
-890
Suppose -8*z = -12 - 20. What is the derivative of 15*q - 13 + 5 + z wrt q?
15
Let n(d) = d**3 - d. Let y(o) = 3*o**4 + 16*o**3 - 14*o - 6. Let v(x) = 5*n(x) - y(x). What is the second derivative of v(a) wrt a?
-36*a**2 - 66*a
Let b(j) be the second derivative of -2/5*j**6 + 0*j**3 - 6*j + 0*j**5 + 0*j**2 - j**4 + 0. Find the third derivative of b(k) wrt k.
-288*k
Let b(u) be the second derivative of -u**8/960 + 31*u**5/120 + 37*u**4/12 + 32*u. Let r(x) be the third derivative of b(x). Differentiate r(i) wrt i.
-21*i**2
What is the second derivative of 7480 + 120*x - 7480 - 164*x**2 wrt x?
-328
Let u = 13 + -18. Let r be 3/(u/15*-3). Find the second derivative of -9*t**3 - 5*t**r + 4*t - 16*t wrt t.
-84*t
Suppose 2*w - 262 = -5*h, 4*w - 476 = -h + 3*h. Differentiate -112 - 3*i**2 - 4*i**2 + w wrt i.
-14*i
Let j(w) be the third derivative of 85*w**6/24 + 23*w**3/2 + 315*w**2. Differentiate j(t) with respect to t.
1275*t**2
Suppose m + 13*q - 12*q + 1 = 0, 2*m - q = 10. Let d(l) = 2*l - 1. Let b be d(2). Find the second derivative of 0*y**3 + 6*y**m + 4*y - y**b wrt y.
30*y
Let v(m) be the second derivative of m**6/90 + m**5/120 + m**4/6 + 3*m. Let p(s) be the third derivative of v(s). Find the first derivative of p(f) wrt f.
8
Suppose -3*m + 4 = 2*j, -j + 7 = -6*m + 5*m. What is the second derivative of -46*c**2 + j + 4 - 9 - 5*c wrt c?
-92
Let i(f) be the third derivative of 25*f**8/21 + 9*f**5/20 - f**4/12 - 75*f**2. What is the third derivative of i(r) wrt r?
24000*r**2
Let m(c) be the first derivative of -177*c**2/2 + 396*c - 351. What is the derivative of m(w) wrt w?
-177
Let o(y) = 7*y + 40. Let l be o(-4). What is the second derivative of -42*s + 119*s**3 - 103*s**3 + l*s wrt s?
96*s
Let q(j) be the first derivative of -9*j**3 + 4*j**5 + j**5 - 7*j**5 - 2 + 14*j**3. What is the third derivative of q(a) wrt a?
-240*a
Let z(f) be the third derivative of 7*f**3 + 0*f - 18*f**2 + 19/12*f**4 + 0. Differentiate z(l) with respect to l.
38
Let a = -9 - -16. Suppose -a*n + 6 = -5*n. Find the third derivative of -p**4 + n*p**4 + 0*p**2 - 3*p**2 wrt p.
48*p
Let x = 84 - 80. Let o(a) = 2*a - 3. Let w be o(3). Find the second derivative of 5*y + x*y - w*y**2 - y wrt y.
-6
Let g(x) = 3*x**3 - 347*x**2 - 340*x - 4. Let l(r) = 5*r**3 - 521*r**2 - 510*r - 6. Let d(w) = 8*g(w) - 5*l(w). Find the second derivative of d(t) wrt t.
-6*t - 342
Let w be 4/(-11)*(-1199)/218. Let o(b) be the first derivative of 1 + 0*b**w + 1/5*b**5 - 4/3*b**3 + 0*b + 0*b**4. Find the third derivative of o(m) wrt m.
24*m
Let m(c) = -63*c**2 - 5*c + 3. Let z(s) = -31*s**2 - 3*s + 2. Let x(t) = -6*m(t) + 11*z(t). What is the second derivative of x(n) wrt n?
74
Let w be 2 + (-2)/(-4) - (44 + -46). Let r(s) be the first derivative of 0*s + 7/3*s**3 - 10 - w*s**2. What is the second derivative of r(c) wrt c?
14
Let x(p) = -2*p - 5. Suppose -23 = 5*a - 3. Let b be x(a). Find the second derivative of 3*z - b*z - 3*z**4 + z wrt z.
-36*z**2
Let j be (0 - -2)/(1 + (-39)/(-1)). Let m(w) be the second derivative of -5/2*w**2 + w + 0*w**4 + 0*w**3 - j*w**5 + 0. Find the first derivative of m(k) wrt k.
-3*k**2
Let q(s) = 136*s**4 - 2*s**2 - 31. Let u(c) = -545*c**4 + 9*c**2 + 126. Let d(m) = 9*q(m) + 2*u(m). What is the first derivative of d(w) wrt w?
536*w**3
Let u be 1 + 1 + (-3 - -3). What is the second derivative of u*p**4 - 59*p - 9*p**4 + 52*p wrt p?
-84*p**2
Suppose 43*b - 24 = 39*b. Find the third derivative of -13*s - 6*s + 19*s - b*s**3 + 18*s**2 wrt s.
-36
Let j(o) = 91*o + 497. Let s be (-35)/2*(-306)/85. Let b(n) = -3*n - 16. Let r(h) = s*b(h) + 2*j(h). Differentiate r(d) wrt d.
-7
Suppose -3*b - 7 = -5*j, 3*j - 45 = -5*b - 0*j. What is the third derivative of 17*g**5 + 2*g**2 - 17*g**5 - 12*g**b wrt g?
-1440*g**3
Let y be (-8 + 3)*6/(-15). What is the third derivative of 37*i**2 - 74*i**y + 12*i**3 + 25*i**2 wrt i?
72
Let y(z) = -112*z**2 - 114*z - 3. Let k(h) = 112*h**2 + 113*h + 4. Let j(l) = -3*k(l) - 4*y(l). What is the second derivative of j(p) wrt p?
224
Let x be 16/(-3)*12/(-8). What is the derivative of -k**2 - 5 + 11*k**2 + x wrt k?
20*k
Let l(g) = -21*g**5 + 7*g**4 - g**3 - g - 87. Let a(y) = 10*y**5 - 4*y**4 + y + 44. Let v(x) = -7*a(x) - 4*l(x). Find the second derivative of v(f) wrt f.
280*f**3 + 24*f
Let d(s) = -5*s + 11. Suppose -2*c - 8 = 0, 3*c - 32 = 4*n - 0. Let h(r) = -24*r + 56. Let j(i) = n*d(i) + 2*h(i). Differentiate j(b) wrt b.
7
Let u(l) = -18*l - 3. Let n(h) = -35*h - 6. Let b(p) = 4*n(p) - 9*u(p). Let v(c) = 11*c + 2. Let f(t) = 2*b(t) - 5*v(t). Differentiate f(d) with respect to d.
-11
Let s(j) be the third derivative of j**9/504 - 13*j**8/168 - 449*j**5/60 + 54*j**2 - 5. Find the third derivative of s(h) wrt h.
120*h**3 - 1560*h**2
Let o be 2*-1*(-30)/12. What is the second derivative of 13*s - 19*s - 8*s**o + 4*s - 3*s**5 wrt s?
-220*s**3
Let u(w) be the first derivative of -23*w**6/3 - 26*w**3 + 26. Find the third derivative of u(m) wrt m.
-2760*m**2
Suppose 12*m - 14*m = -32. Let o = 17 - m. Find the first derivative of o - 4 + 1 - 2 - k**2 wrt k.
-2*k
Let i(l) = -39*l**4 - 2*l**2 + 2*l - 1. Let s(z) = z - 1. Let o(g) = -i(g) + s(g). Find the third derivative of o(m) wrt m.
936*m
Find the third derivative of b - 425*b**2 - 49*b + 426*b**2 - 265*b**3 wrt b.
-1590
Let y(g) = g**4 - 2*g**3 - g**2 - 1. Let l(v) = 31*v**5 - 5*v**4 + 11*v**3 + 37*v**2 + 3. Let z(b) = l(b) + 5*y(b). What is the third derivative of z(n) wrt n?
1860*n**2 + 6
Suppose 25*o - 33*o = 0. Let l(i) be the first derivative of 10 + o*i + 1/2*i**4 + 4/3*i**3 + 0*i**2. What is the third derivative of l(f) wrt f?
12
Let b(x) be the second derivative of -65*x**7/21 + 569*x**3/6 - x**2/2 + 5*x + 9. What is the second derivative of b(z) wrt z?
-2600*z**3
Let x be 12/(0 - 6/(-4)). Let n = x + -3. Find the third derivative of -9 - o**2 - n + 6*o**6 + 14 wrt o.
720*o**3
Let d = 50 - 46. Find the third derivative of 2*u**2 + 0*u**2 - 10*u**d - 2*u**2 + 3*u**2 wrt u.
-240*u
Let l(x) be the third derivative of 31*x**6/20 + 7*x**5/12 + 4*x**2 + 5*x. What is the third derivative of l(s) wrt s?
1116
Let k(g) = g. Let r = 11 - 8. Let o be k(r). What is the third derivative of -9*f**6 - o*f**2 + f**2 + 0*f**2 wrt f?
-1080*f**3
Let h(s) = 2*s**3 + 6*s**2 + 2*s + 8. Let k be h(-3). What is the second derivative of -6*t**k - 25*t**2 + 18*t - 6*t**2 + 5*t**2 wrt t?
-64
Let x be (1 - 0)*(17 - 12). Differentiate -x*d**2 - 8*d**2 - 2*d**2 - 14 + 7 with respect to d.
-30*d
Let x(b) be the first derivative of -35*b**6/6 - b**5/5 - 72*b**2 + 107. Find the second derivative of x(s) wrt s.
-700*s**3 - 12*s**2
Let x(y) be the first derivative of 184*y**5/5 - 2*y**3 - 28*y - 405. Find the third derivative of x(c) wrt c.
4416*c
Let r(y) = -3. Let k(i) = -58*i + 15. Let x(n) = k(n) - 4*r(n). Find the first derivative of x(l) wrt l.
-58
Let i(h) be the third derivative of -403*h**5/60 + 139*h**4/12 - 85*h**2 - h. Find the second derivative of i(c) wrt c.
-806
Let s(u) = 19*u**4 + 4*u**2 - 8. Let a(m) = -5*m**2 + 8 + 19*m**4 - 30*m**4 - 9*m**4. Let q(i) = -4*a(i) - 5*s(i). Differentiate q(w) with respect to w.
-60*w**3
Let m = -5 + 7. What is the third derivative of -3*z**m - 11*z**2 + 3*z**2 - 8*z**3 wrt z?
-48
Let n(w) be the second derivative of 2*w**7/315 - w**6/72 - w**4/12 + 6*w. Let z(m) be the third derivative of n(m). Find the second derivative of z(f) wrt f.
32
Let z(m)