derivative of w(a). What is the derivative of s(g) wrt g?
-32*g**3
Let d(i) be the second derivative of -i**6/6 + i**5/20 + 59*i**2/2 - 112*i. Differentiate d(z) wrt z.
-20*z**3 + 3*z**2
Let r(w) = 5*w**2 - 2*w. Let a be r(2). Suppose -a = -q - 3*q. Find the first derivative of -q + 4*k + k + k - k wrt k.
5
Differentiate -50*x**3 - 126 + 69*x**3 - 32*x**3 with respect to x.
-39*x**2
Suppose 4*w - 12 = -4*u - u, -5*w = 5*u - 15. Find the first derivative of -w*r**2 + 3 + 2*r**2 - 5*r**4 + 4*r**4 + 7 wrt r.
-4*r**3 - 2*r
Let f(k) be the second derivative of -2*k**6/5 - k**5/20 - 63*k**2/2 - 20*k. Differentiate f(a) wrt a.
-48*a**3 - 3*a**2
Let d(l) be the third derivative of 0*l**6 + 0*l**5 + 13/168*l**8 + 0*l**7 + 19*l**2 + 0*l**3 - 1/12*l**4 + 0*l + 0. Find the second derivative of d(b) wrt b.
520*b**3
Find the third derivative of -166*y**6 - 58*y**2 - 29*y**2 + 23*y**2 - 30*y**2 wrt y.
-19920*y**3
Suppose -4*n + r = -14 + 4, 4*r = 3*n - 14. What is the second derivative of -14*t + 5*t - 2*t**3 - 5*t - n*t**3 wrt t?
-24*t
Let k(v) = -50*v**3 + 3*v**2 + v - 274. Let f(z) = 49*z**3 - 2*z**2 + z + 275. Let x(y) = -3*f(y) - 2*k(y). Find the first derivative of x(m) wrt m.
-141*m**2 - 5
Let u = 23 + -17. Differentiate 2*p - 5*p + u*p**3 + 3*p + 9 wrt p.
18*p**2
Suppose -q = -4*q + 15. Find the second derivative of t**5 + 3*t**q - 8*t + t**5 wrt t.
100*t**3
Let v be (-1 - 3/3)*(-3 + 1). What is the third derivative of 4*x**4 + 5*x**4 + 12*x**2 - 2*x**v - 3*x**4 wrt x?
96*x
Let j(n) be the first derivative of 13 + 0*n - 3*n**3 + 9/2*n**4 + 0*n**2. What is the third derivative of j(y) wrt y?
108
What is the first derivative of 499*d + 63*d - 221 - 234 - 47*d - 41 wrt d?
515
Let j(f) = 3*f + 18. Let b be j(-13). Let z be (-7)/b - (-1869)/9. What is the second derivative of -208 + z + 3*r**5 + 8*r wrt r?
60*r**3
Let i(w) be the first derivative of 0*w**2 - 22/5*w**5 + 26 + 0*w**4 + 11*w + 0*w**3. What is the derivative of i(a) wrt a?
-88*a**3
Differentiate -14446 + 165*s + 14480 + 46*s wrt s.
211
Let r(t) = t - 3. Let o be r(2). Let c be -4*o/12*0. Find the third derivative of 38 + 7*h**5 + c*h**2 - 3*h**2 - 38 wrt h.
420*h**2
Suppose -62*p = -70*p + 16. Let g(r) be the third derivative of -p*r**2 + 1/2*r**3 + 0*r**4 + 0 + 1/30*r**5 + 0*r. Find the first derivative of g(w) wrt w.
4*w
Differentiate -182*n**2 + 47*n**2 - 106 + 60*n**2 + 52*n**2 + 2*n**3 + 46*n**2 with respect to n.
6*n**2 + 46*n
Let f(h) = h**2 - 5*h - 8. Let d be f(5). Let v be (d - 1)*(-7 - -6). Find the second derivative of -j**3 + j**3 + v*j + 5*j**4 + 0*j**3 wrt j.
60*j**2
Let p(q) = -10*q**3 + 2*q**2 - 4 - 6*q + 6*q. Let i(b) = -29*b**3 + 7*b**2 - 13. Let v(h) = -2*i(h) + 7*p(h). Differentiate v(t) with respect to t.
-36*t**2
Let l(s) be the second derivative of -17*s**4/2 - 103*s**3/6 - 98*s. What is the second derivative of l(n) wrt n?
-204
Let v(l) = -75*l**2 - 15*l. Let j(x) = 76*x**2 + 14*x. Let r(s) = -2*j(s) - 3*v(s). What is the second derivative of r(a) wrt a?
146
Suppose 5*o - 10 = 5*g, 29 = 3*g - 0*g + 4*o. Let m(y) be the first derivative of 9 + 0*y - 3/2*y**2 - 4/3*y**g. Find the second derivative of m(i) wrt i.
-8
Let p(f) be the third derivative of 11*f**5/5 - f**4/8 + 20*f**2 - f. Find the second derivative of p(g) wrt g.
264
Suppose -2*o = 3*q + 2*o - 4111, 5*q - 4*o = 6809. What is the second derivative of 4*l**4 + 1342*l - 8*l**4 - q*l wrt l?
-48*l**2
Suppose 5*j - 2*u = -5*u + 66, u - 42 = -3*j. What is the third derivative of 39*w**3 - j*w**5 - 2*w**2 - 39*w**3 wrt w?
-900*w**2
Let y(o) = 2*o - 20. Let j be 5/(-1) + (1 - 4). Let n(l) = -3*l + 13 + 18 + 0*l - 1. Let v(f) = j*y(f) - 5*n(f). What is the first derivative of v(m) wrt m?
-1
Let m(u) = -11*u**4 + 3*u**3 + 6*u**2 - 3*u + 42. Let i(n) = -10*n**4 + 2*n**3 + 4*n**2 - 2*n + 42. Let z(q) = -6*i(q) + 4*m(q). Differentiate z(s) wrt s.
64*s**3
Let r(g) be the second derivative of 63*g**5/5 + g**4/6 + 12*g**2 + 29*g + 5. What is the third derivative of r(m) wrt m?
1512
What is the third derivative of 545*g**2 + 121*g**3 - 488*g**2 + 3*g + 48*g**3 wrt g?
1014
What is the derivative of -459*z - 73*z - 336*z - 974192 + 973842 wrt z?
-868
Differentiate -32*g**4 + 206*g**4 + g**3 + 18015 - 17861 - g**3 wrt g.
696*g**3
Let c(k) be the second derivative of 550*k**3/3 - 871*k**2/2 + 49*k - 3. Find the first derivative of c(g) wrt g.
1100
Let k(b) be the first derivative of -15*b**4/4 + b**2 + 79*b + 76. Find the first derivative of k(m) wrt m.
-45*m**2 + 2
Let s(v) be the first derivative of 56*v**6/3 + 37*v**3/3 - 3*v + 202. Find the third derivative of s(b) wrt b.
6720*b**2
Let g(u) be the second derivative of -7/2*u**2 + 0*u**3 - 13/30*u**6 + 0 + 0*u**4 + 14*u + 0*u**5. Differentiate g(a) wrt a.
-52*a**3
Let o = -23 + 34. Find the first derivative of -o*c**4 - 4 + 1 + 0 - 2 wrt c.
-44*c**3
Let s = 117 + -114. Differentiate -33 - 2*d**3 - 6*d - 6*d**3 + 7*d**s wrt d.
-3*d**2 - 6
Let r(n) be the first derivative of -n**6/6 + 5*n**4/2 - 281*n**3/3 + 341. Find the third derivative of r(t) wrt t.
-60*t**2 + 60
Suppose 21 = 3*h + 3. What is the derivative of 5*y - 11 - 3*y - h + 6*y wrt y?
8
Let t = -6 + 8. Let l be (2 + -3)*(-4 + t). Find the second derivative of 4*m**2 - 8*m**2 - 4*m + m**l - m wrt m.
-6
Let h(c) be the second derivative of -42*c**3 - 114*c**2 - c - 81. What is the first derivative of h(k) wrt k?
-252
Let i be 6*(-5)/(-18 - -3). Find the third derivative of 39*j**2 - j**3 + 18*j**i - 8*j**2 wrt j.
-6
Differentiate 11*g**2 - 61*g**2 - 35*g**2 + 39 + 254 wrt g.
-170*g
Let u(j) = 34 - 21*j**2 - 34 - 12*j. Let k(y) = 41*y**2 + 23*y. Let o(d) = -6*k(d) - 11*u(d). Find the second derivative of o(l) wrt l.
-30
Differentiate 22*s - 120 - 119 + 185 with respect to s.
22
Let l(r) = 2*r**3 + 15*r**2 + 3*r - 2. Let q be l(-7). Find the third derivative of -23*v**2 + q*v**4 - 3*v**2 + 10*v**2 wrt v.
624*v
Suppose 7 = 2*a - 3*h, -a + 3*a - 14 = -4*h. Differentiate 521*v + a - 521*v - v**2 wrt v.
-2*v
Let t(z) = 2*z**2 - 5*z - 4. Let q be t(5). Let w be (q/6 - 1)*2. Differentiate w - 2*r - r - 2*r with respect to r.
-5
Let y(b) be the first derivative of -16*b**5/5 + b**4/4 - 59*b**2 - 67. What is the second derivative of y(w) wrt w?
-192*w**2 + 6*w
Suppose -z + 447 = 4*a, -2*a - 870 = -2*z - 4*a. Find the third derivative of 12*d**2 + z*d**4 + 12*d**2 - 450*d**4 wrt d.
-456*d
Let q(j) = 27*j + 30. Let h(a) = 14 + 4*a + 17 + 24*a. Let o(c) = -5*h(c) + 4*q(c). What is the derivative of o(u) wrt u?
-32
Let w(f) be the third derivative of f**7/360 - f**5/12 - f**4/8 + f**2. Let x(o) be the second derivative of w(o). What is the derivative of x(t) wrt t?
14*t
What is the derivative of 262 + 37*r**4 + 118*r - 2*r**2 - 119*r + r**2 + r**2 wrt r?
148*r**3 - 1
Let j(x) be the second derivative of 151*x**5/10 - x**4/12 + 59*x**3/6 + x**2 - 358*x + 1. Find the second derivative of j(y) wrt y.
1812*y - 2
Let s(j) = 8*j**2 + 5*j + 59. Let k(p) = 7*p**2 + 3*p + 58. Let x be 1 + -7 + 12/6. Let y(i) = x*s(i) + 5*k(i). Find the first derivative of y(m) wrt m.
6*m - 5
Let a be ((-10)/(-15))/((-1*1)/(-6)). Find the third derivative of 7*y**4 - 3*y**6 + 6*y**a - 3*y**6 + 17*y**2 + y - 7*y**4 wrt y.
-720*y**3 + 144*y
Let p(f) be the third derivative of f**6/120 - f**4/2 - 113*f**3/6 + f**2 + 13*f. Find the first derivative of p(h) wrt h.
3*h**2 - 12
Differentiate 8*r**2 - 26*r**2 - 7*r**2 + 108 - 71 with respect to r.
-50*r
Let w(z) = 121*z**2 - 4*z + 15. Let r(a) = -a**2 + a - 5. Let i(m) = -r(m) - w(m). Find the first derivative of i(d) wrt d.
-240*d + 3
Let y(l) be the first derivative of -3*l**5/20 + 25*l**4/12 - 22*l + 13. Let w(u) be the first derivative of y(u). Find the third derivative of w(v) wrt v.
-18
Let v(f) = 59*f**3 + 12*f**2 + 3*f + 3. Let s(u) = 117*u**3 + 25*u**2 + 5*u + 5. Let y(j) = -3*s(j) + 5*v(j). What is the third derivative of y(a) wrt a?
-336
Let h(t) be the third derivative of -t**2 - 7/20*t**5 + 0*t**3 + 0*t + 1/12*t**4 + 0. What is the second derivative of h(o) wrt o?
-42
Let n be 4/(-18) + (-1547)/(-117). Find the first derivative of 12*q**2 - 10 - n + 8 wrt q.
24*q
Let t(w) = 13*w**2 - 31. Let c be (204/(-8))/3 + 3/(-6). Let r(z) = -27*z**2 + 63. Let k(q) = c*t(q) - 4*r(q). What is the derivative of k(