1
Let h(z) be the third derivative of -95*z**8/84 - 19*z**5/30 + z**3/3 - 254*z**2. What is the third derivative of h(v) wrt v?
-22800*v**2
Let g be -3*((-40)/12)/2. Find the third derivative of g*p**4 - 8*p**2 + 7*p**2 + 6*p**2 + 16*p**4 wrt p.
504*p
What is the derivative of -13*x**2 - 146 - 27*x**2 + x - 63*x**2 + 37*x**2 wrt x?
-132*x + 1
Let m be -1 + 19 + 0/(-4). Suppose 5*p = 43 - m. What is the third derivative of p*l**4 - 3*l**2 + 6*l**4 - 6*l**4 - 5*l**2 wrt l?
120*l
Let d = 1 + 12. Let m = d + -9. Find the third derivative of -m*o**2 + o**4 - 2*o**3 + 2*o**3 wrt o.
24*o
Let f(x) be the second derivative of -11/28*x**8 + 0*x**5 + 0*x**2 - 35/12*x**4 + 0*x**6 + 0*x**7 + 0*x**3 + 0 + 4*x. Find the third derivative of f(g) wrt g.
-2640*g**3
Let q(i) = -i**3 + i - 1. Let k(t) = -18*t**4 + t**3 - 10. Let f(h) = -2*k(h) - 2*q(h). Find the first derivative of f(w) wrt w.
144*w**3 - 2
Let m(x) = -53*x - 1268. Let u be m(-24). Let s(i) be the third derivative of -i**2 + 0*i - 13/24*i**u - 13/6*i**3 + 0. Differentiate s(n) with respect to n.
-13
Let w(q) be the first derivative of -4*q**6 + 3*q**4/4 - 245*q**3 - 186. What is the third derivative of w(c) wrt c?
-1440*c**2 + 18
Let g(n) = 721*n**2 + 2*n + 94. Let z(u) = 724*u**2 + 2*u + 95. Let p(r) = 4*g(r) - 3*z(r). What is the second derivative of p(h) wrt h?
1424
Let x(h) = 57*h**2 + 3*h + 4. Let p(y) = y**2 - y - 2. Let u(a) = 3*p(a) + x(a). Differentiate u(q) wrt q.
120*q
Let b(s) = s**4 - 10*s**3 + 1422*s**2 + 5. Let o(j) = j**4 - 14*j**3 + 2135*j**2 + 8. Let p(u) = -8*b(u) + 5*o(u). Find the third derivative of p(q) wrt q.
-72*q + 60
Let c = -604 - -1154. What is the third derivative of -567*l**6 - l**3 + c*l**6 + 16*l**2 + l**3 wrt l?
-2040*l**3
Let t(w) be the first derivative of w**2/2 + 5. Let f be t(2). Find the third derivative of -o**f + 6*o**2 - 3*o**6 - 6*o**6 wrt o.
-1080*o**3
Let g(w) be the second derivative of w**8/1680 + 11*w**4/12 + 6*w**3 + 19*w. Let m(l) be the second derivative of g(l). What is the derivative of m(j) wrt j?
4*j**3
Let u(k) = 489*k**4 - 4*k**3 + 4*k - 134. Let i(n) = 1467*n**4 - 11*n**3 + 11*n - 403. Let f(v) = -4*i(v) + 11*u(v). Find the first derivative of f(g) wrt g.
-1956*g**3
Let t(v) = 12*v + 124. Let y be t(-10). Let d(p) be the second derivative of 6*p + 1/12*p**y + 0*p**3 - p**2 + 0. Differentiate d(s) with respect to s.
2*s
Suppose -3*g = -g + 4*r - 2, 0 = -2*g + 4*r + 2. Let x be 0 + -1 - (g - 2). Find the third derivative of -57*h**6 + x*h**3 + 0*h**3 + 58*h**6 - 9*h**2 wrt h.
120*h**3
Let w = 216 - 216. Let f(j) be the second derivative of j**4 + 0*j**3 + 0 + w*j**2 - 2*j + 3/20*j**5. What is the third derivative of f(g) wrt g?
18
Let a(b) = 11*b**3 - 257*b**2 + 4*b + 4. Let h(q) = 21*q**3 - 515*q**2 + 9*q + 9. Let f(m) = 9*a(m) - 4*h(m). Find the third derivative of f(j) wrt j.
90
Let y be (1 + 2)*(2 - 1). Find the second derivative of 11*u + y*u**3 + 5 - 25*u - 5 - 5*u**2 wrt u.
18*u - 10
Let z be (-2 + 2)*7/28. Let l(r) be the second derivative of z - 3/20*r**5 + 0*r**3 + 6*r - 1/2*r**2 + 0*r**4. Differentiate l(n) with respect to n.
-9*n**2
Let k(x) be the first derivative of -x**8/48 - x**5/15 - 7*x**2/2 - 8. Let n(z) be the second derivative of k(z). What is the third derivative of n(c) wrt c?
-420*c**2
Suppose -2*w - 13 = -v, -4*v + 2*w = -6*v - 4. Suppose -v*k + 14 + 1 = 0. Find the third derivative of 5*c**2 - 4*c**5 - c**3 + c**k + c**3 wrt c.
-180*c**2
Let v(l) be the second derivative of -79*l**4/12 + 113*l**3/6 - l**2/2 + 50*l - 3. What is the second derivative of v(h) wrt h?
-158
Find the first derivative of -53 + 83*f**4 + 145*f**3 + 82*f**4 - 95 - 167*f**4 wrt f.
-8*f**3 + 435*f**2
Let c(i) be the first derivative of -3*i**5/5 + 10*i**3 - i**2 + 20*i + 155. Find the second derivative of c(w) wrt w.
-36*w**2 + 60
Let s(r) = r**2 + r - 1. Let c(f) = 3*f**2 + 3*f - 4. Let g(h) = -c(h) + 2*s(h). Let i be g(0). Find the first derivative of -3 + 6 - 4*m**4 + 3 + i wrt m.
-16*m**3
Let s(p) = p**3 + 5*p**2 + 1. Suppose 4*a + 16 = -2*k, 3*a - 4*k - 7 = 6*a. Let b be s(a). Differentiate 3*w - 3*w + 3 - 2*w**2 - b with respect to w.
-4*w
Let u be (2 + (-614)/6)*-12. Find the third derivative of 21*h**2 + u + 9*h**3 - 1204 wrt h.
54
Suppose 5*q - 10 - 9 = 3*k, -4*k = 5*q - 33. Let v = -132 - -136. What is the third derivative of -6*m**q - 4*m**6 - v*m**2 + 6*m**5 wrt m?
-480*m**3
What is the third derivative of -3*i**3 - 45*i**2 - 27*i**4 - 161*i**2 - 85*i**2 + 93*i**4 wrt i?
1584*i - 18
Let n(i) be the first derivative of -14*i**5/5 + i**3 + 182*i - 106. Find the first derivative of n(w) wrt w.
-56*w**3 + 6*w
Let k(f) = -616*f**3 - 5*f**2 - 31*f - 5. Let d(r) = -r**2 - 1. Let o(u) = 5*d(u) - k(u). Find the second derivative of o(b) wrt b.
3696*b
Let s(u) be the first derivative of u**3/3 + 61*u**2/2 - 44*u + 8. What is the derivative of s(f) wrt f?
2*f + 61
What is the second derivative of -141*t + 46*t - 36*t**2 + 65*t wrt t?
-72
Let t(x) = -6*x**3 - 10*x**2 + 245*x + 92. Let i(k) = -7*k**3 - 12*k**2 + 247*k + 93. Let m(g) = 5*i(g) - 6*t(g). Differentiate m(a) with respect to a.
3*a**2 - 235
Let t(j) = -j**2 - 4*j. Suppose 0 = 3*y, p - 6*p + 2*y - 10 = 0. Let u be t(p). What is the third derivative of 10*x**2 - x**4 + 0*x**u + 5*x**4 + 3*x**4 wrt x?
168*x
Let p(w) be the first derivative of 44*w**5/5 + 3*w**4/4 - 370*w - 428. What is the derivative of p(g) wrt g?
176*g**3 + 9*g**2
Suppose 10 = -5*o + 2*p, 3*p - 4 = 3*o + 2. Let n = 0 - o. Find the second derivative of s**2 - 6*s**n - 3*s + s wrt s.
-10
Let o(t) = -t - 7. Let c be o(-10). Find the third derivative of 38*p**3 - p**c + 32*p**2 - 4*p**3 + 7*p**3 wrt p.
240
Suppose -2*w + 7*w = 45. Suppose -27*t + 35 = -22*t. What is the third derivative of 7*o**2 + w*o**6 + 4*o**6 - t*o**6 wrt o?
720*o**3
Let t(h) = 74*h**3 + 17*h**2 - 19. Let c(f) = 144*f**3 + 33*f**2 - 38. Let p(d) = 6*c(d) - 11*t(d). What is the third derivative of p(n) wrt n?
300
Let h(s) be the second derivative of s**9/2520 - s**6/80 + s**4/4 - 13*s. Let g(n) be the third derivative of h(n). What is the second derivative of g(q) wrt q?
72*q**2
Let j(p) be the first derivative of -97*p**3/3 + 106*p - 22. Differentiate j(n) wrt n.
-194*n
Let l(d) be the second derivative of -5*d**4/12 + 3*d**3 + 17*d**2/2 + 8*d. Let h(r) be the first derivative of l(r). Differentiate h(v) with respect to v.
-10
Let p(r) be the third derivative of -27*r**6/40 - 49*r**3/6 - 53*r**2. Find the first derivative of p(t) wrt t.
-243*t**2
Let t(h) = -45*h**3 + 2*h**2 - 37*h. Let k(x) = -x**3. Let i(y) = 2*k(y) - t(y). Find the second derivative of i(l) wrt l.
258*l - 4
What is the first derivative of -10 - 98 + 477*p + 46 - 179 - 47 wrt p?
477
Let n(y) be the third derivative of 0 - 31/24*y**4 + 0*y + 6*y**2 + 0*y**3 + 31/60*y**5. Find the second derivative of n(g) wrt g.
62
Let f(l) = 27*l**3 + 2*l**2 + 21*l + 2. Let c(k) = -54*k**3 - 5*k**2 - 43*k - 5. Let q(h) = -2*c(h) - 5*f(h). What is the second derivative of q(n) wrt n?
-162*n
Let a(f) be the second derivative of f**6/3 + 27*f**5/20 - 141*f**3/2 - f**2/2 - 885*f. What is the second derivative of a(j) wrt j?
120*j**2 + 162*j
Let s be ((-4)/(-5))/(10/25). Suppose -s*d - 1 = -11. Find the second derivative of t**5 + 6*t - t - 5*t**5 + t**d wrt t.
-60*t**3
Let x(h) be the first derivative of -h**5/120 + h**4/8 - 8*h**3/3 + 11. Let c(k) be the third derivative of x(k). What is the first derivative of c(f) wrt f?
-1
Find the second derivative of 95*u**2 - 33*u + 0 + u**3 + 2 - 48*u**2 wrt u.
6*u + 94
Let b(d) be the third derivative of 169*d**5/60 - d**4/24 + 13*d**3 - 7*d**2 + 3. Find the second derivative of b(n) wrt n.
338
Suppose -x = -2*d + 8, 3*d + 7 = -4*x + 6*d. Let n(v) be the first derivative of -5/4*v**4 + 0*v - 2 + 0*v**x + 2*v**3. Find the third derivative of n(j) wrt j.
-30
Let t(k) = k**2 - 2*k - 1. Let n(w) = -29*w**3 - 2*w**2 - 2*w - 21. Let r(p) = -n(p) + t(p). What is the third derivative of r(j) wrt j?
174
Let d(s) be the first derivative of 17*s**5/120 - s**4 - 7*s**3/3 - 13. Let o(u) be the third derivative of d(u). What is the first derivative of o(h) wrt h?
17
Let r(t) be the first derivative of -8*t**3/3 + 3*t**2/2 - 29*t + 204. Find the second derivative of r(c)