4
Let k(w) = 280*w**2 - 493*w - 3. Let h(r) = -4*r**2 - r - 1. Let q(v) = -3*h(v) + k(v). What is the second derivative of q(o) wrt o?
584
What is the third derivative of 134*z**2 - 188*z**3 - 86*z**3 - 255*z**3 + 10*z**2 wrt z?
-3174
Find the second derivative of 182*v + 14 - 51*v**4 - 22*v**4 - 185*v wrt v.
-876*v**2
Suppose 0*m = -3*m + 6. Suppose 0 = -7*h + 16 - m. Find the second derivative of 5*k**2 + 12*k - h*k - 4*k**2 wrt k.
2
Let g(h) = -2*h**3 - 121*h**2 - 6*h + 49. Let z(t) = 4*t**3 + 241*t**2 + 10*t - 100. Let i(c) = -5*g(c) - 3*z(c). What is the derivative of i(r) wrt r?
-6*r**2 - 236*r
Suppose -10*z = -2*z. Find the second derivative of v**4 + z*v**4 + 15*v**5 - v**4 - 21*v wrt v.
300*v**3
Let k(w) be the second derivative of -w**8/56 - 5*w**7/7 + 13*w**4 - 2*w + 107. What is the third derivative of k(h) wrt h?
-120*h**3 - 1800*h**2
Let a(j) = -2*j + 3. Let k be a(-15). What is the first derivative of -5 - 25*v**2 + 6*v**2 - k*v**2 - 19 wrt v?
-104*v
Let r be (-6)/15 + (-135)/(-25). What is the derivative of 6 + 7*h + r*h**4 - 7*h wrt h?
20*h**3
Let q(y) be the first derivative of 199*y**2/2 - 43*y - 201. What is the derivative of q(g) wrt g?
199
Let a(o) = 9*o**3 + 3*o**2 + 6*o - 413. Let c(t) = -8*t**3 - 2*t**2 - 5*t + 413. Let h(l) = 5*a(l) + 6*c(l). What is the derivative of h(q) wrt q?
-9*q**2 + 6*q
Let j(h) be the first derivative of 2*h**5/5 + 5*h**4/4 + 37*h**3 + 8. Find the third derivative of j(q) wrt q.
48*q + 30
Let l(a) be the second derivative of 28*a**3/3 + a**2 - 65*a. What is the derivative of l(h) wrt h?
56
Find the second derivative of 132*x**4 + 121*x**4 - 252*x**4 - 28*x - 451*x**3 - 2 - 30*x wrt x.
12*x**2 - 2706*x
What is the third derivative of -17*v**2 - 121*v - 318*v**6 + 8*v**2 + 7*v**2 - 72*v**6 wrt v?
-46800*v**3
Differentiate -131 - 452*o**2 + 72*o**2 + 577 + 262 with respect to o.
-760*o
Let r(g) be the second derivative of 13*g**6/30 + g**4/4 + 7*g**3/3 + 3*g**2/2 - 4*g + 8. Find the second derivative of r(c) wrt c.
156*c**2 + 6
Let s = -14 + 17. Find the second derivative of 5*i**s - 4*i**3 - 5*i**3 + 2*i - i**3 wrt i.
-30*i
Suppose -35*f + 33*f + 88 = 0. Differentiate -5*x**3 + 4*x**3 - 16 + f + 23*x**3 with respect to x.
66*x**2
Suppose 0*p = 3*p - 9. Let d be 9 + -8 + ((-12)/3)/(-2). Differentiate 7*m**d + 15 + 2*m**p - 4 + m**3 with respect to m.
30*m**2
Let i(l) = 45*l**3 + 157*l**2 + 5*l - 5. Let m(p) = -68*p**3 - 235*p**2 - 7*p + 7. Let r(b) = 7*i(b) + 5*m(b). What is the third derivative of r(g) wrt g?
-150
Suppose 0 = -11*v - 17 + 72. What is the third derivative of 4*n - 16*n**2 - 3*n - n**v - 15*n**2 + 14*n**5 wrt n?
780*n**2
What is the first derivative of 13 - 168 - 156*a - 143*a + 7*a + 32*a wrt a?
-260
Let q(n) be the first derivative of -57*n**2/2 - 42*n - 289. Find the first derivative of q(h) wrt h.
-57
Find the third derivative of -3*i**6 + i**2 - 4*i**4 - 31 - 4 - 25*i**3 + 4*i**4 wrt i.
-360*i**3 - 150
Find the third derivative of -22*n**2 - 87*n**6 - 54*n + 54*n wrt n.
-10440*n**3
Let f(r) be the second derivative of 59*r**5/20 + 13*r**2 - r - 3. What is the first derivative of f(c) wrt c?
177*c**2
Suppose -3*m + 37 = 3*w - 2*m, 10 = -5*m. Find the second derivative of 17*d**4 + 12*d - 14*d - w*d wrt d.
204*d**2
Let h(m) be the first derivative of -10*m**2 - 547*m + 494. What is the derivative of h(f) wrt f?
-20
Find the first derivative of 100*k**4 - 291 + 110*k**4 + 0*k**3 + 89 + 0*k**3 wrt k.
840*k**3
Let z(r) be the second derivative of -r**6/30 - 11*r**3/6 + 245*r**2/2 - 720*r. What is the first derivative of z(g) wrt g?
-4*g**3 - 11
Find the second derivative of 9*b**2 - 44*b**2 + 90*b**3 + 16*b**2 - 1 + 272*b + 21*b**2 wrt b.
540*b + 4
Suppose -3*c + 0*c - 15 = 0. Let z(f) = -f + 9. Suppose -33 = -12*p + p. Let k(d) = -2*d + 18. Let a(o) = c*z(o) + p*k(o). Differentiate a(l) wrt l.
-1
Differentiate -993 - c - 9*c**4 + c + c**4 + 1306 with respect to c.
-32*c**3
Let c(p) = -408*p**4 - 5*p**2 + 5*p - 191. Let u(w) = w**4 + w**2 - w - 1. Let l(t) = c(t) + 5*u(t). Differentiate l(z) wrt z.
-1612*z**3
Let c(t) be the third derivative of -12*t**5/5 + t**4/8 - 7*t**3/6 - 16*t**2 + t. What is the second derivative of c(i) wrt i?
-288
What is the third derivative of -3192*l - 181*l**3 - 22*l**2 + 3192*l wrt l?
-1086
Let l be (4/2 - 4)*(-9)/6. Find the third derivative of -32*s**6 + 6*s**l - 4*s**2 - 6*s**3 - 4*s**2 wrt s.
-3840*s**3
Let m(q) be the first derivative of 36 + 33*q + 19/2*q**4 + 0*q**3 + 0*q**2. What is the derivative of m(u) wrt u?
114*u**2
Suppose 0 = l + 5*j + 2 - 30, -j = -2*l + 1. Let s(d) = d**2 - d - 4. Let v be s(l). Find the second derivative of 4*r**4 - 5*r**v - 3*r + 5*r**2 wrt r.
48*r**2
Let b(s) = 2*s - 13. Let y be b(7). Differentiate -y - 3 - 5 - 38*i**3 + 39*i**3 wrt i.
3*i**2
Suppose g = 3*g - 22. What is the derivative of g - 2 + 10*i - 9*i + 6*i wrt i?
7
Let j(r) be the first derivative of 0*r**2 + 1/3*r**3 + 0*r + 12 - 5/2*r**4. Find the third derivative of j(l) wrt l.
-60
Let i(k) be the third derivative of 0*k**4 + 0 - 23/60*k**5 - 17*k**2 + 8/3*k**3 + 0*k. What is the first derivative of i(b) wrt b?
-46*b
Differentiate -83*u - 148*u + 281 - 467 with respect to u.
-231
Let o(k) = k**2 + k - 1. Let p(b) = -108*b**2 + 175*b + 4. Let c(u) = -4*o(u) - p(u). What is the second derivative of c(l) wrt l?
208
Let c(n) be the third derivative of 103*n**5/60 - 19*n**3/3 - 84*n**2 + 2. Differentiate c(t) with respect to t.
206*t
Let x(v) be the second derivative of -1/2*v**2 + 0 + v**3 + 7*v. What is the first derivative of x(n) wrt n?
6
Suppose -y - 2*y = -711. Differentiate -114 - u - 83 - 2*u + y wrt u.
-3
Suppose 3*p = 2*t + 10, -2*t + 2 = -3*t. Let g be (-5)/p*20/(-25). Find the second derivative of y**2 - 2*y**2 - 4*y**2 + 6*y**g - 3*y wrt y.
2
Let g(s) be the third derivative of 37*s**8/84 + s**4/24 - s**3/6 + 11*s**2 - 10*s. What is the second derivative of g(i) wrt i?
2960*i**3
Let v = -23 - -36. Find the third derivative of 39*c**6 - 28*c**6 + 30*c**6 + v*c**2 wrt c.
4920*c**3
Let b(v) = -2*v - 3. Let q be b(-3). Find the first derivative of 18*h**q - h**2 + h**2 - 885 + 842 wrt h.
54*h**2
Suppose 0 = -2*a - t + 1, -3*a - 2*t + 3 = 1. Find the second derivative of 19*h - 4 + a + 4 - 2*h**3 wrt h.
-12*h
Let f(a) be the third derivative of 0 - 7*a**2 + 0*a**6 - 7/24*a**4 + 0*a + 1/24*a**8 + 0*a**5 + 0*a**3 + 0*a**7. What is the second derivative of f(r) wrt r?
280*r**3
Suppose 4*z = -5*c + 2, -6 = -5*c - 5*z - 1. Let q be (-4)/(-1) + c - -4. What is the first derivative of 0*r - r - q + 9 wrt r?
-1
Let s(h) be the third derivative of -11*h**2 - 1/30*h**6 + 0 + 0*h**3 + 0*h + 0*h**4 - 1/10*h**5. What is the third derivative of s(q) wrt q?
-24
Let t(b) = 17*b**3 + b**2. Let l be t(1). What is the derivative of l + 9*o**2 - 14 + 16*o**2 - 12 wrt o?
50*o
Let u(b) be the first derivative of 0*b**4 - 36/5*b**5 + 0*b**2 + 25*b + 0*b**3 + 33. Differentiate u(n) wrt n.
-144*n**3
What is the third derivative of 13*z**2 - 192*z**6 + 343*z**6 - 11 + 10 wrt z?
18120*z**3
Let n(r) = -r. Let k be n(-7). Suppose -1 + k = c. Find the first derivative of -7*t + c + 7*t - 1 - 4*t**4 wrt t.
-16*t**3
Let o(q) = 3*q**2 - q + 45. Let v(l) = l. Suppose 22 = -15*m + 7. Let i(u) = m*o(u) + 6*v(u). What is the derivative of i(t) wrt t?
-6*t + 7
Find the second derivative of -82*t + 48*t - 104*t**5 - 57*t - 47*t + t**2 wrt t.
-2080*t**3 + 2
Find the second derivative of 42 - 14*x**3 + 2*x**2 - 79 - 9*x + 43 wrt x.
-84*x + 4
Let l(u) = 47*u**3 - 31. Suppose 7*d - 16 = 5*d. Let m(f) = 16*f**3 - 10. Let o(n) = d*m(n) - 3*l(n). Differentiate o(v) with respect to v.
-39*v**2
Let m(b) = 10*b + 17. Let l be (-12)/(-3)*((-22)/4 - -4). Let q(i) = -20*i - 33. Let v(f) = l*q(f) - 11*m(f). Differentiate v(u) wrt u.
10
Let k(j) be the third derivative of j**9/168 - j**6/120 - 103*j**5/60 + 5*j**2 - 12*j. Find the third derivative of k(t) wrt t.
360*t**3 - 6
Let x(f) be the first derivative of 51*f**4/4 - f**2 + 352*f + 329. Differentiate x(n) wrt n.
153*n**2 - 2
Let k(g) be the second derivative of -11/6*g**3 + 0*g**5 + 0*g**6 + 12*g + 0*g**4 + 2/7*g**7 + 0 + 0*g**2. Find the second derivative of k(o) wrt o.
240*o**3
Let l(p) = -286*p - 27. Let j(t) = -280*t - 29. Let b(v) = 5*j(v