4*x**2. Let p be b(-6). What is the third derivative of -10 + 10 + 2*w**p - 4*w**2 wrt w?
48*w
What is the third derivative of -2*x**4 + 572*x**2 - 4*x**3 - 19*x**5 + 3*x**4 - 352*x**2 - x**4 wrt x?
-1140*x**2 - 24
Let z(d) be the third derivative of 0 + 0*d**5 + 0*d**3 - 7/24*d**4 + 1/30*d**6 - 5*d**2 + 0*d. What is the second derivative of z(m) wrt m?
24*m
Let q = -139 - -165. Find the second derivative of 90*a**4 - 64*a**4 - q*a - 3*a wrt a.
312*a**2
Let f(p) be the first derivative of -p**4/2 + p**3 + 10*p - 21. Let h(w) = 10*w**3 - 16*w**2 - 50. Let k(o) = -16*f(o) - 3*h(o). Differentiate k(t) wrt t.
6*t**2
Let c be (12/10)/(-4 + (-22)/(-5)). What is the derivative of c*l**2 + 5*l**3 - 3*l**3 - 66 + 33 + 15*l**2 wrt l?
6*l**2 + 36*l
Let w(g) be the second derivative of g**7/105 - g**4/4 + 6*g**2 - 8*g. Let s(p) be the first derivative of w(p). What is the second derivative of s(b) wrt b?
24*b**2
Let k(z) = -3*z - 22. Let b(y) = 7*y - 2. Let j be b(-1). Let h be k(j). What is the second derivative of m - 3*m**5 + m - h*m - 3*m wrt m?
-60*m**3
Let t(h) = 7*h - 3. Suppose q = -0 + 2. Let k be t(q). Find the third derivative of -5*d**5 - 4*d**2 + k*d**5 + 2*d - 2*d wrt d.
360*d**2
Let r = 51 - 49. Differentiate -2 + 3*l**2 - 8*l**r + 10 + 18*l**2 wrt l.
26*l
Let s(z) be the third derivative of 35/6*z**3 - 1/60*z**5 + 38*z**2 + 0*z + 0 - 11/24*z**4. Find the first derivative of s(a) wrt a.
-2*a - 11
Let v be 9/4 - 1/4. Suppose -5*m - w + 5 = 0, -7*m = -2*m + 2*w. What is the second derivative of -4*c**v + 0*c**2 + 2*c + c**2 + 9*c**m wrt c?
12
Let i(j) be the first derivative of 8 + 2*j**5 + 37*j - 36*j - 3*j**5. What is the first derivative of i(f) wrt f?
-20*f**3
What is the third derivative of 195*r**2 - 66*r**3 - 267*r**3 + 116*r**3 + 80*r**2 wrt r?
-1302
Let d(g) be the second derivative of 83*g**3/6 + 73*g**2/2 - 3*g + 10. Differentiate d(v) wrt v.
83
Let j(f) be the third derivative of -1/21*f**7 + 0*f**4 + 0*f**3 + 0*f + 0*f**6 - 10*f**2 + 11/60*f**5 + 0. Find the third derivative of j(a) wrt a.
-240*a
Let b(q) = 61*q**3 + 43*q**2 - 2*q + 6. Let w(u) = -183*u**3 - 128*u**2 + 6*u - 17. Let a(n) = 17*b(n) + 6*w(n). What is the third derivative of a(s) wrt s?
-366
Suppose 70*d - 77*d = 0. Let a(l) be the second derivative of 10*l - 3/4*l**4 + 0 - 1/20*l**5 + 0*l**2 + d*l**3. Find the third derivative of a(k) wrt k.
-6
Let l be (-16)/(-6) - (-8)/(-12). Let x be (-1)/l - (-36)/8. What is the third derivative of 5*s**2 + 3*s**4 + 8*s**4 - 13*s**x wrt s?
-48*s
Let m be ((-2)/(-5))/(666/(-225) - -3). What is the derivative of -35*c - 40 + m - 22 wrt c?
-35
Let p be (-12)/14 + ((-534)/28)/(-3). Let i(v) be the first derivative of -11/4*v**4 + 0*v**3 + 3 + 0*v + p*v**2. Find the second derivative of i(z) wrt z.
-66*z
Let f(i) be the first derivative of 0*i**2 + 5 - 8*i - 20/3*i**3. Find the first derivative of f(z) wrt z.
-40*z
Let f(p) = -p - 4. Let a be f(-7). Let v be (a - 2) + -4 - -4. Find the second derivative of -2*o - 4*o**3 + v + 2 - 3 wrt o.
-24*o
Let v(x) be the second derivative of -77*x**6/30 + 38*x**2 - 17*x + 4. Differentiate v(o) with respect to o.
-308*o**3
Let b = -129 + 129. Let f(c) be the third derivative of 4/3*c**3 + 1/24*c**4 - c**2 + b + 0*c. What is the derivative of f(p) wrt p?
1
What is the derivative of 2*r + 6*r + 66 + 16*r + 34 + 3*r**2 wrt r?
6*r + 24
Let o(a) be the second derivative of a + 4*a**2 + a**3 + 1/12*a**4 + 0. Let c(x) be the first derivative of o(x). What is the derivative of c(s) wrt s?
2
Suppose -17 = b - 19. Differentiate -4 + 19 + 9*a**4 + b*a**4 wrt a.
44*a**3
Find the third derivative of -41*q - 38*q + 61*q**2 - 35*q + 114*q + 4*q**4 wrt q.
96*q
Let c(g) = -61*g**3 + 4*g**2 - 12*g + 389. Let t(u) = 121*u**3 - 7*u**2 + 20*u - 778. Let a(s) = -5*c(s) - 3*t(s). What is the derivative of a(q) wrt q?
-174*q**2 + 2*q
Find the first derivative of 4*d**2 + 2*d**3 - 6*d**2 + 4857 - 4817 wrt d.
6*d**2 - 4*d
Let b(t) = -40*t**3 - t**2 + 4*t + 88. Let f(r) = -r**2 + 2*r - 1. Let h(v) = b(v) - 2*f(v). Differentiate h(s) with respect to s.
-120*s**2 + 2*s
Let p be (2/2)/(-3 + 80/25). Differentiate -19*t**2 - 3 - p + 5*t**2 with respect to t.
-28*t
Let q(s) be the second derivative of 149*s**4/12 + 193*s**3/3 + 314*s. What is the second derivative of q(a) wrt a?
298
Let d(g) = -8 + 86*g**3 - 72 + 49*g**3. Let y = 48 + -44. Let s(k) = 5*k**3 - 3. Let u(t) = y*d(t) - 110*s(t). Differentiate u(z) wrt z.
-30*z**2
Let n(p) be the first derivative of 11*p**4 - p**3/3 + 44*p**2 - 85. Find the third derivative of n(w) wrt w.
264
Differentiate 307 + 261*x**3 + 0*x + 0*x + 163*x**3 with respect to x.
1272*x**2
Differentiate 702*j**3 - 296 - 73 - 48*j**3 + 52*j**3 wrt j.
2118*j**2
Let f(y) be the second derivative of 5*y**7/21 - y**6/3 + 85*y**4/3 + 655*y. What is the third derivative of f(m) wrt m?
600*m**2 - 240*m
Let b(m) be the first derivative of 9*m**3 + 55*m**2/2 - m + 69. What is the second derivative of b(k) wrt k?
54
Find the second derivative of -16 + r + r**3 - 8*r**3 + 13*r**5 + 5 - 5*r wrt r.
260*r**3 - 42*r
Suppose -3*q - 11 = -17. What is the derivative of 3 - 5 - r**2 + 6 + q*r**2 wrt r?
2*r
Let w(z) = z**2 + 1. Let f(o) = -2*o**3 + 3*o**3 - 2*o**2 + 8*o**2 + 0*o**3 - 14. Let l(n) = -f(n) + 6*w(n). Find the first derivative of l(c) wrt c.
-3*c**2
Let i(z) be the first derivative of z**6/6 + 23*z**5/5 - 40*z**3/3 + 100. Find the third derivative of i(g) wrt g.
60*g**2 + 552*g
Let z(f) = -57*f**3 + 2*f**2 + 47. Let x(b) = 29*b**3 - b**2 - 23. Suppose 0 = 4*n - 7 - 5. Let m(g) = n*z(g) + 7*x(g). Differentiate m(t) with respect to t.
96*t**2 - 2*t
Let g(x) = -74*x**4 - 2*x**3 - x**2 + 32*x - 4. Let u(c) = -2*c**4 - 2*c**3 + c. Let v(d) = g(d) - u(d). Find the second derivative of v(r) wrt r.
-864*r**2 - 2
Suppose 2 = i - 0. Suppose 2*w + 5*p = 79, -3*w - 5*p = i*w - 175. Find the second derivative of -7*g**2 + g - 32 + w wrt g.
-14
Suppose -3*a + 12 = 6. Let t(c) be the third derivative of c**a - 7/24*c**4 + 0*c - c**3 + 0. What is the first derivative of t(k) wrt k?
-7
Let b(n) = -n**3 - 9*n**2 + 6. Let v be b(-9). Find the third derivative of 10*i**v + 0*i**2 - 13*i**2 + 0*i**2 wrt i.
1200*i**3
Let b(t) be the first derivative of 31*t**4/2 + 96*t - 119. Differentiate b(w) with respect to w.
186*w**2
Let o be (18/(-24)*-1)/(3/12). Let c(g) be the third derivative of 0*g**5 + 0 + 0*g + 5/6*g**o - g**2 - 1/20*g**6 + 0*g**4. Differentiate c(j) wrt j.
-18*j**2
Let o(x) be the first derivative of 3*x**4/2 + 16*x**3/3 + 27*x - 3. Let h(r) be the first derivative of o(r). What is the second derivative of h(f) wrt f?
36
Let x(j) be the third derivative of -115*j**4/12 - 241*j**3/6 + 105*j**2. What is the derivative of x(w) wrt w?
-230
Let m(y) be the first derivative of -5*y**4/2 - 17*y**2/2 - y - 76. What is the second derivative of m(r) wrt r?
-60*r
Let u(c) be the first derivative of c**6/6 - 9*c**4/4 + 5*c**3/3 - c**2 - 32. What is the third derivative of u(t) wrt t?
60*t**2 - 54
What is the third derivative of -4*a**4 + 1357*a**2 + 2*a**4 - 1282*a**2 - 32*a**3 wrt a?
-48*a - 192
Let r be 7*(10/4)/5. Let j(k) be the second derivative of -r*k**2 - 1/6*k**3 + 0 - 4*k. What is the derivative of j(g) wrt g?
-1
Find the third derivative of -31*b**2 - 71*b**2 - 21*b**5 - 28*b**5 - 4*b**2 wrt b.
-2940*b**2
Suppose -2*t - 2*t + 124 = 2*r, 0 = -r - t + 59. Find the third derivative of r*c**3 - 40*c**3 + 2*c**2 - 10*c**2 - 4*c**2 wrt c.
96
Find the first derivative of 14 - 2*g**4 + 5*g - 140 - 3*g**3 - 5*g + 6*g**3 wrt g.
-8*g**3 + 9*g**2
Let w be (4 - 12)*6/(-16). Suppose -2*g + w*g = 0. Find the second derivative of 0*v - 3*v**4 + 10*v**4 + g*v + 3*v wrt v.
84*v**2
Let l(s) be the first derivative of -7*s**3 + 30*s**2 + 7. What is the second derivative of l(a) wrt a?
-42
Let i be 6/(-21) + (-2890)/(-70). What is the third derivative of 26*r**2 + 15*r**3 + 22*r**2 - i*r**2 wrt r?
90
Let o(k) = 11*k**2 - 5*k + 1. Let p be o(2). Find the first derivative of 15 - p*z**2 - 10*z**4 - 29*z**2 + 64*z**2 wrt z.
-40*z**3
Suppose 4*s + 14 = -5*y + 50, 5*s - 45 = -5*y. Suppose s*n = 4*n + 25. What is the second derivative of -n*d - 3*d**5 + 4*d - 4*d - 2*d**5 wrt d?
-100*d**3
What is the second derivative of 4*j**3 - 16*j**3 