st derivative of l(z) wrt z.
-100*z**3 - 6*z**2
Let b(k) be the third derivative of 11*k**7/35 - 2*k**4 - k**3/6 - 30*k**2. What is the second derivative of b(s) wrt s?
792*s**2
Suppose 8*q - 10*q = -490. Find the second derivative of 250*g - q*g + 11*g**5 + 5*g**5 wrt g.
320*g**3
Suppose 4*v = -4*c + 4, 0*c - 9 = -5*v - c. Find the third derivative of -2*l**3 + 12*l**2 - v*l + 4*l - 2*l wrt l.
-12
Suppose 4*p - 10 = 3*p. Find the third derivative of 0*j**2 + 8*j**3 - 8*j**3 - p*j**2 + 8*j**4 wrt j.
192*j
Let i(v) be the third derivative of 17*v**5/60 - 3*v**4/2 + v**3/3 + 111*v**2. What is the second derivative of i(w) wrt w?
34
Let z(s) be the second derivative of s**6/15 - 7*s**3/3 - 5*s**2/2 - 6*s. Let x(l) be the first derivative of z(l). What is the first derivative of x(f) wrt f?
24*f**2
Let l(j) be the third derivative of -67*j**9/504 - j**8/84 - 293*j**5/20 - 670*j**2. Find the third derivative of l(h) wrt h.
-8040*h**3 - 240*h**2
Let v(n) = 9*n**2 - 4*n - 374. Let b(k) = -10*k**2 + 3*k + 376. Let p(x) = 7*b(x) + 6*v(x). Differentiate p(w) wrt w.
-32*w - 3
Let g(v) = -6*v**2 - 46*v + 3. Let b(j) = j**2 + j - 1. Suppose 9*i + 21 = 2*i. Let f(z) = i*b(z) - g(z). What is the second derivative of f(x) wrt x?
6
Suppose 3*j - 30 = -2*j. Suppose 0 = 3*k + 2*t - 2, 5*k - 5*t - j = 14. Find the first derivative of -7*l**k + 3*l**2 + 0 + 4 wrt l.
-8*l
Let l = -3 - 4. Let o = -3 - l. What is the derivative of -5 + 3 + 6 + j**o wrt j?
4*j**3
Let f(y) be the first derivative of 5*y**6/2 + 3*y**4/2 + 73*y**3 + y**2 - 88. Find the third derivative of f(p) wrt p.
900*p**2 + 36
What is the second derivative of 6*f**2 - 5*f**2 - 6 - 5*f + 68*f**3 - f**2 wrt f?
408*f
Suppose 19*x = 10*x + 63. Suppose 4 = -2*n - 4*b, -2*b - b - 6 = 0. What is the second derivative of x - 7 - p - n*p**3 wrt p?
-12*p
What is the first derivative of 1337 + 144*c**4 - 11*c**4 + 16*c**4 - 2*c + 0*c - 364 wrt c?
596*c**3 - 2
Let b(w) be the second derivative of 3*w**8/28 - 79*w**4/12 + w**3/3 + 21*w + 1. Find the third derivative of b(a) wrt a.
720*a**3
Let y(w) be the second derivative of -w**6/30 - 9*w**4/4 + 83*w**2/2 - 37*w. Find the first derivative of y(g) wrt g.
-4*g**3 - 54*g
What is the derivative of -229 + 368*x**2 + 2*x**4 - 13*x**3 - 368*x**2 wrt x?
8*x**3 - 39*x**2
Let t(n) = n**3 + 5*n**2 - 9. Let l be t(-4). Suppose -6 = -3*f + f. Find the second derivative of -c**3 + 5*c - 2*c + l*c**f wrt c.
36*c
Let x = 13 - 11. What is the second derivative of 2*s**2 + 13*s**x + s + 12*s - 5*s**2 wrt s?
20
Let v(x) be the third derivative of 919*x**8/336 + 3*x**5/4 + x**3/3 - 60*x**2 - 2*x. What is the third derivative of v(k) wrt k?
55140*k**2
Suppose h + 5*h - 96 = 0. What is the third derivative of h*n - 16*n - 18*n**2 - 2*n**2 + 11*n**4 wrt n?
264*n
Let f(p) be the first derivative of 0*p**5 - 34/7*p**7 - 11*p**3 + 0*p**4 + 0*p**6 + 0*p**2 + 0*p - 52. Find the third derivative of f(o) wrt o.
-4080*o**3
Differentiate -1 + 6*a - 15*a + 57 + 2 - 145*a wrt a.
-154
Differentiate 180 - 1705*p**4 + 98 + 24*p**2 + 1700*p**4 with respect to p.
-20*p**3 + 48*p
Let j(p) be the second derivative of 0*p**4 + 6*p**2 + 0*p**3 + 0 - 4*p + 1/10*p**5. What is the first derivative of j(g) wrt g?
6*g**2
Suppose 5*z = 8*z - 9. Let m(v) = v**3 - 2*v**2 - 2*v - 1. Let r be m(z). What is the third derivative of 21*j**6 - 13*j**6 - j**r - 3*j**2 wrt j?
960*j**3
Let g(n) be the first derivative of 38/3*n**3 - 5/3*n**6 + 0*n**2 + 6 + 0*n + 0*n**5 + 0*n**4. What is the third derivative of g(m) wrt m?
-600*m**2
Let m(z) = 2*z**2 + z. Let f(o) = 12*o**2 + o + 53. Let y(s) = -f(s) + 3*m(s). What is the second derivative of y(l) wrt l?
-12
Let n(h) = 157*h**2 - 31*h + 959. Let u(c) = 79*c**2 - 17*c + 480. Let m(j) = 6*n(j) - 11*u(j). Find the first derivative of m(a) wrt a.
146*a + 1
Let p be 20/(-35)*(-14)/4. Let s = 5 - 4. What is the first derivative of w**2 - 5*w**p - w**2 + s + 0 wrt w?
-10*w
Let k(j) = -49*j**2 - 13*j - 275. Let r(h) = h**2 - 2*h - 2. Let a(u) = k(u) - 6*r(u). Differentiate a(c) wrt c.
-110*c - 1
Let u(w) = 5*w**3 - 2*w**2 - 22*w. Let h(l) = -6*l**3 + 4*l**2 + 21*l. Let k(g) = 4*h(g) + 3*u(g). What is the second derivative of k(j) wrt j?
-54*j + 20
Let g be (117/(-26))/(6/8 + 0). Let x(z) = 224*z**3 + 44*z + 240. Let f(v) = -15*v**3 - 3*v - 16. Let c(d) = g*x(d) - 88*f(d). Differentiate c(t) wrt t.
-72*t**2
Let y be (1 - 1)*(-9)/18. Let x(p) be the first derivative of 0*p + y*p**2 - 3 + 1/3*p**3 - 5/4*p**4. What is the third derivative of x(a) wrt a?
-30
Let t(c) = 2*c**3 + c**2 - c. Let r(m) = 14*m**3 + 17*m**2 + 5*m. Let o(i) = r(i) - 6*t(i). What is the second derivative of o(q) wrt q?
12*q + 22
Find the second derivative of 17 + 7 - 24 - a**3 + 362*a + 70*a**2 + 7*a**2 wrt a.
-6*a + 154
Let r(o) = 2*o + 7. Let q be r(-2). What is the first derivative of 9*n**4 - 2*n**q - 5*n**4 + 8*n - 38 + 2*n**3 wrt n?
16*n**3 + 8
Let k(l) = -9*l**5 + 253*l**2 + 237*l + 3. Let n(u) = -7*u**5 + 250*u**2 + 238*u + 2. Let g(b) = -2*k(b) + 3*n(b). What is the second derivative of g(x) wrt x?
-60*x**3 + 488
Let q be 8 + 2 + -3*2 + -2. What is the second derivative of -37*v - 3*v**q - 394*v**3 + 3*v**2 + 399*v**3 wrt v?
30*v
Let k be ((-4)/(-6))/(3/18). Let n be 4/(k + 6/(-1)). Let a(m) = 11*m - 2. Let w(c) = -56*c + 9. Let u(i) = n*w(i) - 11*a(i). Differentiate u(b) wrt b.
-9
Let j = 29 + -20. Find the second derivative of -j*l - 84*l**4 + 5*l + 52*l**4 wrt l.
-384*l**2
Let t(o) be the first derivative of 106*o**6 - 223*o**2 + 238. Find the second derivative of t(j) wrt j.
12720*j**3
What is the third derivative of 170*b**3 - 2*b**5 - 126777*b**2 + 126788*b**2 + 2*b + b**5 wrt b?
-60*b**2 + 1020
Let w(m) = 102*m**4 + 5*m**3 + 2*m + 35. Let r(v) = 102*v**4 + 6*v**3 + 3*v + 37. Let g(c) = 5*r(c) - 6*w(c). What is the second derivative of g(t) wrt t?
-1224*t**2
Let i = 692 - 689. Let l(y) be the first derivative of 0*y - 11/3*y**i - 7 + 2*y**2. Find the second derivative of l(n) wrt n.
-22
Let r = 66 + -62. What is the derivative of -21*o - 2 - 21*o + 20*o**r + 42*o wrt o?
80*o**3
Let g(b) be the first derivative of -399*b**5/5 + 23*b**2 - b - 762. Find the second derivative of g(x) wrt x.
-4788*x**2
Let c(x) be the first derivative of -26*x**3/3 - 29*x**2/2 - 56*x + 15. Let u(b) be the first derivative of c(b). What is the derivative of u(v) wrt v?
-52
Suppose 0 = 2*b + 5*i - 15, -3*i + 8 = b - 0*b. What is the third derivative of -18*q**2 + 3*q**2 - 4*q**b + 2*q**2 + 0*q**5 wrt q?
-240*q**2
What is the third derivative of -94*l**6 - 81*l**2 - 98*l**6 + l**4 + 194*l**6 - 7*l**4 wrt l?
240*l**3 - 144*l
Let z(q) = -q**2 + q. Let m(b) = 9*b + 0 - 1 - 2*b**3 + 22*b**2 - 36*b**2. Let a(y) = -m(y) + 6*z(y). Find the second derivative of a(w) wrt w.
12*w + 16
Suppose -18*r + 24 = -12. Let a(f) be the second derivative of 4*f - 2*f**r + 0 - 2/3*f**3. Differentiate a(d) with respect to d.
-4
Let v(h) be the third derivative of 19*h**7/35 - 13*h**4/6 - h**3/3 + 82*h**2. What is the second derivative of v(p) wrt p?
1368*p**2
Let y(c) = 2*c**3 - c + 2. Let v(i) = 206*i**3 + 6*i + 21. Let s(x) = -v(x) - 6*y(x). Differentiate s(q) wrt q.
-654*q**2
Let g(h) be the first derivative of -8*h**5/5 - 7*h**3/3 + h**2/2 + 4*h - 328. What is the second derivative of g(a) wrt a?
-96*a**2 - 14
Let f be 2/(-12) + (-35)/(-30). Let d be f*(-4)/16*-4. Differentiate 2*u**4 - 3 - d + 5 + u**4 wrt u.
12*u**3
Let b(k) = 259*k**3 + 4*k**2 + 599*k - 2. Let x(a) = 776*a**3 + 14*a**2 + 1800*a - 7. Let r(p) = 7*b(p) - 2*x(p). Find the second derivative of r(u) wrt u.
1566*u
Let n(z) = -4*z - 11. Suppose 5*g = 12 + 18. Let a(i) = -i + 1. Let h(b) = g*a(b) + n(b). Find the first derivative of h(p) wrt p.
-10
Let o(c) be the first derivative of 2*c**6/5 - 2*c**3/3 - 37*c + 36. Let n(t) be the first derivative of o(t). What is the second derivative of n(h) wrt h?
144*h**2
Let i(x) be the first derivative of x**5/30 + 2*x**4/3 + 3*x**3 + 8. Let h(z) be the third derivative of i(z). Differentiate h(c) with respect to c.
4
Let f(i) be the second derivative of 0*i**3 + 7/3*i**4 + 23*i - 39/2*i**2 + 0. What is the derivative of f(w) wrt w?
56*w
Let c(z) be the first derivative of -2*z**2 - 11/2*z**6 + 0*z**4 + 0*z**3 + 0*z**5 + 0*z + 29. 