 0*i**3 + 0*i**4 - 17*i**2. Differentiate j(q) with respect to q.
9*q**2
What is the second derivative of -8 + 4*b**2 + 65*b**4 - 61*b**4 + b - b**2 wrt b?
48*b**2 + 6
Let r = -42 + 46. Suppose 3*g = -4*h + 17, 0 = -3*h + h + 3*g + 31. Differentiate h - 2*z**r + 15*z - 9*z - 6*z with respect to z.
-8*z**3
Let v(y) = 844*y**3 + 31*y**2 - 12. Let b(h) = 421*h**3 + 15*h**2 - 7. Let r(n) = 5*b(n) - 3*v(n). What is the third derivative of r(k) wrt k?
-2562
Let g(m) = m**3 + 9*m**2 + 9*m + 10. Let t be g(-8). What is the derivative of -4*f**t - 14 + f - f wrt f?
-8*f
What is the second derivative of 5559*f**2 + 85*f - 153*f**3 + 5567*f**2 - 11126*f**2 wrt f?
-918*f
Let j(u) be the second derivative of 353*u**6/30 - 337*u**2/2 + 123*u + 1. Differentiate j(w) wrt w.
1412*w**3
Suppose w + 2*q = 12, -6*w + q = -5*w + 3. Let d(z) be the first derivative of 0*z**w - 4/3*z**3 - 5 + 0*z - 1/4*z**4. Find the third derivative of d(s) wrt s.
-6
Suppose 5*d - 1201 - 2939 = 0. Suppose 3*w + 4*i = 7*i + d, 4*i = 3*w - 826. What is the derivative of -q - 2*q**2 - 264 + w + q wrt q?
-4*q
Let h(w) be the second derivative of w**5/3 + 13*w**3/6 - 11*w**2/2 + 22*w. Let q(r) be the first derivative of h(r). Differentiate q(j) wrt j.
40*j
Let k = -19 - -24. Suppose -83 = k*y - 283. Differentiate 6 + y*h - 3 - 44*h with respect to h.
-4
Let i(m) = -57*m**4 + 3*m**2 + 151. Let r(f) = 114*f**4 - 5*f**2 - f - 302. Let o(l) = 5*i(l) + 3*r(l). Differentiate o(u) with respect to u.
228*u**3 - 3
Let r(y) = -55*y**3 + y**2 - 27*y + 5. Let t(c) = 55*c**3 - c**2 + 26*c - 6. Let v(o) = 6*r(o) + 5*t(o). What is the second derivative of v(l) wrt l?
-330*l + 2
Let i be (-4 - 69/(-12)) + (-4)/(-16). What is the third derivative of 293*l**2 + 0*l**6 - 289*l**i - 2*l**6 wrt l?
-240*l**3
What is the third derivative of 185 - 3*p - 41*p**6 + 3*p + p**4 - 185 + 46*p**2 wrt p?
-4920*p**3 + 24*p
Let u(g) = 2*g + 1. Let l(d) = d**3 + 5*d**2 + 2*d. Let m be l(-2). Let h be u(m). What is the second derivative of 8*k**5 - 4*k + 8*k**5 - h*k**5 wrt k?
-20*k**3
Let t(u) be the third derivative of 5*u**6/4 + 2*u**5/5 + 66*u**2. What is the third derivative of t(o) wrt o?
900
Let s = 279 - 277. Let k(r) be the first derivative of -4/3*r**3 - 6*r + 0*r**s - 11. What is the first derivative of k(v) wrt v?
-8*v
Suppose -2 + 10 = b. Find the second derivative of 3 + 1 - b*n**5 - 14*n - 4 wrt n.
-160*n**3
Let n(s) = -1. Let y(c) = 168*c - 40. Let h(m) = -10*n(m) - y(m). What is the derivative of h(f) wrt f?
-168
Let n(d) be the second derivative of -d**6/15 + 11*d**3/3 + 315*d**2/2 + 433*d. Differentiate n(p) wrt p.
-8*p**3 + 22
Let w(l) be the first derivative of 73*l**5/5 - l**2 - 63*l - 38. What is the derivative of w(p) wrt p?
292*p**3 - 2
Find the third derivative of 255*s**2 + 512*s + 273*s**3 - 261*s - 251*s wrt s.
1638
Let t(o) be the second derivative of o**8/448 + 11*o**5/120 - 13*o**4/12 - 3*o. Let z(l) be the third derivative of t(l). Differentiate z(q) wrt q.
45*q**2
Let l = -3 + -5. Let g be (-7 - -12)*l/(-10). What is the third derivative of -3*v**g - v**2 + 0*v**4 + 4*v**2 wrt v?
-72*v
Let y(p) = -4*p**3 - 2*p**2 + 3. Let a(d) = -3*d**3 - 2*d**2 + 2. Let m = -36 + 34. Let t(w) = m*y(w) + 3*a(w). What is the third derivative of t(b) wrt b?
-6
What is the third derivative of 58*m**3 - 8*m**5 - 199*m**2 - 17*m**5 - 16*m**5 + 39*m**5 wrt m?
-120*m**2 + 348
Let v(l) = 36*l**2 + 46. Let c(m) be the third derivative of -m**5/60 - m**3/6 + 30*m**2. Let r(h) = 12*c(h) + v(h). Differentiate r(w) wrt w.
48*w
Let t(a) = -a. Let o be t(-8). Suppose g - 7 - o = -5*l, 2*g = -5*l + 20. Find the third derivative of -8*k**2 - 2*k**g - 6*k**2 + 16*k**2 wrt k.
-120*k**2
Let w = -17 - -24. Suppose -2*o + 20 = 3*x + 3*o, 2*x - w = 3*o. What is the first derivative of x*y - y**4 - 5*y + 4 - y**4 wrt y?
-8*y**3
Suppose 10 = 3*p + 1. Find the second derivative of 3*h**5 + 12*h - 3*h**5 - p*h**5 wrt h.
-60*h**3
Let q(f) = -43*f + 54. Let o(h) = -h + 1. Let v(u) = 39*u - 45. Let b(k) = 18*o(k) + v(k). Let a(y) = -5*b(y) - 3*q(y). Differentiate a(m) wrt m.
24
Let r = 136 - 82. What is the derivative of 9 - 58*i**4 + r*i**4 - i**3 + i**3 wrt i?
-16*i**3
Let s(p) be the second derivative of -39*p**8/56 + 5*p**4/6 - 3*p - 30. What is the third derivative of s(f) wrt f?
-4680*f**3
Let o(c) = 79*c**2 + 8*c + 6. Let m(z) = 79*z**2 + 7*z + 5. Let t(u) = 6*m(u) - 5*o(u). Find the second derivative of t(j) wrt j.
158
Suppose 2*c = c. Suppose -3*o - 3*f + 0*f = c, o - 4 = f. What is the third derivative of -4*g**o + 2 - 3*g**4 - 2 - 2*g**4 wrt g?
-120*g
Let p(s) = s**3 + 15*s**2 + 15*s - 2. Let t be p(-14). Let x = t - -16. What is the third derivative of x + 10*c**2 - 3 - 10*c**5 + 3 wrt c?
-600*c**2
Suppose 3*r - 6 - 9 = 0. Find the third derivative of -2*h**r - 4*h**5 - 12*h**2 - h**2 wrt h.
-360*h**2
Let r(o) = o**2 + 2*o - 1. Let n be r(1). Find the first derivative of -31*y**2 + 15*y**2 + 17*y**n + 44 + 2*y + 2*y wrt y.
2*y + 4
Let a be (8/12)/((-1)/72*-3). Find the third derivative of -3*v**2 + a*v**6 + 411*v - 411*v wrt v.
1920*v**3
Let k(u) be the first derivative of 0*u + 0*u**3 + 5/2*u**4 - 10 + 11/2*u**2. Find the second derivative of k(i) wrt i.
60*i
Let c(y) be the first derivative of 21*y**5 - 56*y**3/3 + 3*y**2/2 - 98. What is the third derivative of c(v) wrt v?
2520*v
What is the second derivative of -33*x + 1072 + 131*x**2 - 1072 + 89*x**2 wrt x?
440
Let w be 1*(-10 + 0)/(-2). Let h(n) = -n + 7. Let r be h(w). What is the second derivative of 9*t - 4*t + r*t**5 + t**5 + t**5 wrt t?
80*t**3
Let p(a) = -31*a**2 + 3*a + 9. Let q = -30 - -39. Let b(d) = 15*d**2 - d - 4. Let r(f) = q*b(f) + 4*p(f). Find the second derivative of r(w) wrt w.
22
Let z(r) = 91*r**3 - 279*r**2 - 7*r - 14. Let x(s) = -46*s**3 + 141*s**2 + 3*s + 6. Let o(n) = 7*x(n) + 3*z(n). What is the third derivative of o(u) wrt u?
-294
Suppose 4*d + 470 = 5*v, 2*v + 2*d = -14 + 202. Find the third derivative of 7*k**2 - v*k**5 + 33*k**5 + 31*k**5 + 33*k**5 wrt k.
180*k**2
Let m(b) be the first derivative of -749*b**5/5 - 110*b**3/3 - 2*b**2 - 812. What is the third derivative of m(n) wrt n?
-17976*n
Suppose 10 = -3*i + 4*i. Let g = i - 6. What is the second derivative of d**g - 3*d**4 - 6*d + 5*d**4 wrt d?
36*d**2
Let m = -14 - -25. Let z be 0 + m - (-42)/(-14). Find the third derivative of -5*b**5 + 8*b**5 + z*b**5 - 68*b**2 + 60*b**2 wrt b.
660*b**2
Differentiate -12*f - 164*f - 52 - 69 wrt f.
-176
Suppose -y = -17 + 13. What is the second derivative of 16*v - 9*v + 12*v - 3*v**y wrt v?
-36*v**2
Let m(p) be the third derivative of p**5/30 - 29*p**4/24 - p**3/3 + 49*p**2 + 2*p. Differentiate m(v) wrt v.
4*v - 29
Let o(q) be the second derivative of -23*q**5/5 - 13*q**3/2 + 7*q**2/2 + 611*q. What is the second derivative of o(t) wrt t?
-552*t
Let i(p) be the first derivative of p**5/40 - 11*p**4/24 + 11*p**3/3 + 9. Let w(a) be the third derivative of i(a). Differentiate w(u) with respect to u.
3
Let o(k) = -5*k**4 + 367*k**2 + 6*k - 599. Let v(t) = -9*t**4 + 732*t**2 + 11*t - 1198. Let x(m) = 11*o(m) - 6*v(m). Differentiate x(d) wrt d.
-4*d**3 - 710*d
Let x = 3 - 3. Suppose 9*y - 4*y - 15 = x. Find the second derivative of -3*v**2 - y*v + 2*v + 8*v**2 - 3*v wrt v.
10
Let y(x) = -16*x**3 - 4*x**2 - 195*x. Let q(s) = -17*s**3 - 3*s**2 - 197*s. Let i(a) = 4*q(a) - 3*y(a). What is the second derivative of i(l) wrt l?
-120*l
Let n be 939/126 + 4/(-14) - 5. Let f(q) be the second derivative of 0*q**2 - 13/12*q**4 + 0 - 8*q + n*q**3. Find the second derivative of f(v) wrt v.
-26
Let p(t) be the third derivative of 7*t**6/120 - 7*t**4/12 + 7*t**3/6 + t**2. Let w(s) be the first derivative of p(s). Find the first derivative of w(k) wrt k.
42*k
Let n be (1/2)/(24/288). Suppose -3*v - 5*q + 11 = 0, -4*v + 0*q + 9 = q. What is the third derivative of -15*x**6 - 3*x**v + 11*x**n + 2*x**6 wrt x?
-240*x**3
Let i = -3 - -6. Suppose 0 = i*r - 0 - 18. What is the derivative of r - 5*x**4 - 1 - 2*x**4 wrt x?
-28*x**3
Let h(b) = -b**3 + b. Suppose -4*w + 9*w + 5 = 0. Let k(q) = -2*q**3 - q + 9. Let l(d) = w*h(d) - k(d). Differentiate l(c) with respect to c.
9*c**2
Let d be ((-2)/(-4))/((-1)/(-8)). What is the derivative of -21*i**d + 18 + 6*i**4 + 18*i**4 + 16*i**