41
Let o(m) be the third derivative of 0 + 1/8*m**6 + 0*m**5 + 0*m**3 - 14*m**2 + 0*m - 2/3*m**4. Find the second derivative of o(t) wrt t.
90*t
Let k be (-28)/(-16) + (-3)/(-12). Suppose -5*x = -4*s + 4, 4 = 3*x + 2*s + k*s. Differentiate 2*o - 2 + 0 + x wrt o.
2
Let p(n) = n**3 - 3*n**2 - 2*n + 5. Let j be p(4). Suppose 0*x - 3*x + 15 = 0. What is the first derivative of -j*f - x + 13*f - 2*f**3 wrt f?
-6*f**2
Let r(x) be the third derivative of 0*x**5 + 0*x - 1/60*x**6 - 1/12*x**4 + 0 + 0*x**3 + 4*x**2. Find the second derivative of r(u) wrt u.
-12*u
Let q(u) be the second derivative of -179*u**5/20 - u**4/2 + u**3/3 + 286*u. Find the third derivative of q(i) wrt i.
-1074
Let p be -4 - -3 - (-8 - -3). Find the second derivative of -9*n**p - 3*n**4 - 8*n + 4*n**3 - 4*n**3 wrt n.
-144*n**2
Let m(a) be the second derivative of 7*a + 0*a**5 - 4*a**2 + 0 + 0*a**3 - 1/6*a**6 + 0*a**4. What is the first derivative of m(r) wrt r?
-20*r**3
Let r(l) be the first derivative of 6*l**2 + 5/6*l**3 - 6 + 0*l + 1/6*l**4. Let h(a) be the second derivative of r(a). What is the derivative of h(c) wrt c?
4
Let l be (-6)/(-3 - 0) - -10. Let r = l + -10. Find the second derivative of 5*z - 2*z**4 - 2*z - r*z wrt z.
-24*z**2
Let w(d) = 505*d**3 + 87*d**2 + 6*d + 6. Let l(t) = -1514*t**3 - 259*t**2 - 17*t - 17. Let n(b) = -6*l(b) - 17*w(b). Find the third derivative of n(j) wrt j.
2994
Let a(m) = m**2 - 6*m - 2. Let b be a(7). What is the second derivative of -9*z - 6*z**5 - 3*z**b + 3*z**5 wrt z?
-120*z**3
Let d(m) = m**4 + m**3 + 1. Let n(z) = 273*z**4 - 5*z**3 - 247. Let i(y) = 5*d(y) + n(y). Find the first derivative of i(g) wrt g.
1112*g**3
Let x(s) be the second derivative of 20*s**4/3 + s**3/3 - 21*s**2 - 134*s. What is the second derivative of x(r) wrt r?
160
Let o(q) be the first derivative of -623*q**4/4 + 397*q**2/2 - 341. Find the second derivative of o(u) wrt u.
-3738*u
Suppose 4*y + 5*o + 8 - 1 = 0, 0 = 2*y - 2*o - 10. Suppose y*h = -3*h. Differentiate -7*t**4 + 0 + h - 6 with respect to t.
-28*t**3
Find the second derivative of 13528*z**2 + 213*z**3 - 13528*z**2 + 203*z wrt z.
1278*z
Suppose 12*d + 19 = 13*d. Differentiate 23*w + d*w + 8 + 16*w - 24*w wrt w.
34
Let k(o) be the third derivative of 0*o + 0 + 0*o**3 + 1/12*o**4 + 0*o**5 - 1/120*o**6 - 10*o**2. What is the second derivative of k(l) wrt l?
-6*l
Let s(h) = 2*h - 7. Let f be s(5). Let l be (-3)/((-3)/(-2) - f). Find the third derivative of -2*k**6 + k**6 + 4*k**6 + 2*k**l + 0*k**6 wrt k.
360*k**3
Let o(u) be the second derivative of -u**4 + 0 - 4/21*u**7 - 12*u + 0*u**5 + 0*u**2 + 0*u**6 + 0*u**3. What is the third derivative of o(r) wrt r?
-480*r**2
Let i(p) = 31*p**2 - 12*p - 28. Let q(w) = -31*w**2 + 11*w + 26. Let b(n) = -5*i(n) - 6*q(n). Find the second derivative of b(m) wrt m.
62
Let u(x) be the third derivative of -43*x**4/6 - 249*x**3/2 + 31*x**2 - 3. What is the derivative of u(a) wrt a?
-172
Let k(m) be the first derivative of 10*m + 0*m**3 - 3 - 5/2*m**4 + 0*m**2. Find the first derivative of k(w) wrt w.
-30*w**2
Differentiate 290*f**4 + 247 - 9*f**3 + 10*f**3 - 98*f**4 with respect to f.
768*f**3 + 3*f**2
Let n(m) = 77*m - 308. Let t(l) = -226*l + 924. Let x(h) = -7*n(h) - 2*t(h). Differentiate x(b) wrt b.
-87
Differentiate 411 - 69*p**4 + 87*p**4 - 42*p**4 + 159*p**4 wrt p.
540*p**3
Let u(p) = 24*p**2 + 4*p + 24. Let x(m) = -66 - 23*m**2 - 2*m + 19 - 26*m**2 - 5*m. Let y(t) = -7*u(t) - 4*x(t). Differentiate y(z) with respect to z.
56*z
Let y(k) be the first derivative of -k**2 - 23*k + 1. Let q be y(-13). Find the third derivative of 0*z**2 + 11*z**2 - 19 - q*z**5 + 19 wrt z.
-180*z**2
Suppose -56*y = -70*y. Let w(b) be the second derivative of 2*b**2 + 1/4*b**4 + 0 - b + y*b**3. What is the derivative of w(s) wrt s?
6*s
Let m(s) = -19*s - 21. Let r(v) = -v - 1. Let f(l) = l**2 - 5*l - 1. Let p be f(5). Let k(z) = p*m(z) + 6*r(z). Find the first derivative of k(j) wrt j.
13
What is the first derivative of 197 + 201*x**3 - 201*x**3 + 96*x**4 wrt x?
384*x**3
Differentiate -351 - 107*g - 107*g + 2 - 168*g - 17*g wrt g.
-399
Let x(m) = 3*m + 3. Let w(n) = 3*n + 2. Let a(o) = 6*w(o) - 5*x(o). Let z be a(3). Find the second derivative of 4*b**2 - 5*b**4 - 4*b**2 + z*b wrt b.
-60*b**2
Let a(d) = -31*d + 264. Let o(g) = -8*g - 1. Let h(k) = -2*a(k) - 10*o(k). Differentiate h(i) with respect to i.
142
Let j(n) be the third derivative of n**8/168 - 11*n**6/24 - 2*n**4/3 - 65*n**2 + 2*n. Find the second derivative of j(s) wrt s.
40*s**3 - 330*s
Suppose 0 = c + 4. Let r(d) = -3*d + 4. Let y(q) = 12*q - 15. Let i(b) = c*y(b) - 18*r(b). What is the first derivative of i(t) wrt t?
6
Find the third derivative of -2*k**4 - 29 - 2*k**2 + 14 - 8 - 22*k**3 wrt k.
-48*k - 132
Find the third derivative of -75*m**2 + 22*m**2 + 27*m**2 - 97 + 25*m**2 - 128*m**3 - 108*m**3 wrt m.
-1416
Let h(d) = -484*d**3 - 7*d**2 - 4*d - 377. Let i(y) = 240*y**3 + 3*y**2 + 2*y + 188. Let g(t) = -3*h(t) - 7*i(t). Differentiate g(z) wrt z.
-684*z**2 - 2
Let x(m) be the first derivative of -24*m + 15 + 0*m**3 + 0*m**2 + 8/5*m**5 + 0*m**4. What is the first derivative of x(s) wrt s?
32*s**3
What is the third derivative of -3*x**2 - 4*x**4 + 32*x**4 + 28*x**4 - 21*x - 129*x**4 + x**3 wrt x?
-1752*x + 6
Let f be (-48)/(-5) - 1/(-10)*4. Find the first derivative of -8 - f*s + s + 3*s - 17*s wrt s.
-23
Let k(h) be the second derivative of -13*h**7/14 + h**6/30 - 81*h**4/4 - 7*h. What is the third derivative of k(s) wrt s?
-2340*s**2 + 24*s
Let v(b) be the first derivative of -14/5*b**5 + 0*b**3 + 14 + 0*b + 8*b**2 + 0*b**4. What is the second derivative of v(s) wrt s?
-168*s**2
Find the first derivative of 170*x + 115 + 74 + 7 wrt x.
170
Let j(p) be the first derivative of -62*p**3 - 19*p**2/2 + 6*p + 157. Find the second derivative of j(a) wrt a.
-372
Let t = 1 - -1. Suppose 2*p + t*p - 8 = 0. What is the third derivative of 7*b**2 - 2*b**2 + 0*b**p + 3*b**5 + b**5 wrt b?
240*b**2
Let w = -21 - -25. Suppose -l + 17 = 4*c + 2*l, 5*c + w*l = 22. What is the third derivative of -f**4 + 47*f**2 - 36*f**c - 8*f**4 wrt f?
-216*f
Suppose a + 0*a + 20 = 0. Let x be (30/(-25))/(6/a). What is the third derivative of 3*h**6 + 0*h**x + h**4 + 6*h**2 - h**4 wrt h?
360*h**3
Let r = 1522/3 - 507. Let p(b) be the third derivative of 11/60*b**5 + 0 - r*b**3 + 0*b**4 + 0*b + 12*b**2. What is the first derivative of p(n) wrt n?
22*n
Let i(m) be the third derivative of -1/20*m**5 + 0*m + 0*m**3 - 20*m**2 + 0*m**6 - 1/7*m**7 + 0*m**4 + 0. Find the third derivative of i(y) wrt y.
-720*y
Let b = 819 - 816. Let c(p) = p**2 + 3*p - 1. Let m be c(-4). Find the second derivative of -6*f**m + 5*f**b - 7*f - 6*f**3 wrt f.
-42*f
Let y(n) = 1777*n**4 + 9*n**3 + 9*n - 1389. Let c(o) = 888*o**4 + 4*o**3 + 4*o - 694. Let v(j) = -9*c(j) + 4*y(j). Differentiate v(s) wrt s.
-3536*s**3
Let d = 15 - 13. Suppose 0 = d*y - 8. What is the third derivative of 14 - 4*r**2 - 14 - y*r**3 wrt r?
-24
Suppose 6 = 4*n + 2*u, 2*u - 27 = -3*n + 5*u. Find the third derivative of -10*w**4 - 58*w**2 - 10*w**4 + 60*w**2 + 3*w**n wrt w.
-408*w
Let s(b) be the first derivative of -43*b**6 + b**4/4 + 5*b**3/3 - 21*b**2/2 - 437. What is the third derivative of s(y) wrt y?
-15480*y**2 + 6
Let l(h) = 2*h**3 - 175*h**2 + 5*h + 205. Let p(m) = 2*m**3 - 176*m**2 + 4*m + 206. Let o(u) = -3*l(u) + 4*p(u). Find the second derivative of o(v) wrt v.
12*v - 358
Let t(a) be the second derivative of 126*a**5/5 - 113*a**4/6 - 103*a. Find the third derivative of t(o) wrt o.
3024
Let j(c) be the first derivative of 113*c**4/4 + 123*c**3 + c**2/2 - 36. Find the third derivative of j(m) wrt m.
678
Let m(n) be the third derivative of 69*n**8/112 + 19*n**4/24 + n**3/3 - 10*n**2 - 7. What is the second derivative of m(d) wrt d?
4140*d**3
Let f = 7 + -10. Let m(t) = 5*t**4 + 3*t + 2. Let d(n) = -n**4 + n + 1. Let r(u) = f*d(u) + m(u). Find the first derivative of r(j) wrt j.
32*j**3
What is the third derivative of -v**5 + v**5 - 16*v**6 + 389*v - 385*v + 8*v**2 wrt v?
-1920*v**3
Let y(l) be the third derivative of -l**6/120 - 77*l**5/60 - 7*l**4/2 + 45*l**2 - 2. Find the second derivative of y(u) wrt u.
-6*u - 154
Suppose 5*q - 24 = q. Let a(j) = 11*j - 52. Let v be a(5). What is the third derivat