3
Let t(o) be the second derivative of 7/12*o**4 + 0*o**6 + 0*o**3 - 30*o + 0 + 0*o**5 - 6/7*o**7 + 0*o**2. What is the third derivative of t(f) wrt f?
-2160*f**2
Suppose 51 = 12*t - 57. What is the derivative of 52*s - 30 + t + 6 + 7 wrt s?
52
Let l(m) be the third derivative of 0*m + 0*m**6 + 0*m**3 - 1/10*m**5 - 5/112*m**8 + 0*m**4 + 14*m**2 + 0*m**7 + 0. What is the third derivative of l(i) wrt i?
-900*i**2
What is the derivative of 61 + 13*i**4 + i**3 - 94 + 14*i**4 wrt i?
108*i**3 + 3*i**2
Let u(f) = 233*f**2 - 81. Let d(z) = 232*z**2 + z - 80. Let x(i) = 2*d(i) - 3*u(i). What is the second derivative of x(h) wrt h?
-470
Let z(c) be the second derivative of -c**5/20 - 7*c**4/3 + 18*c**2 - 77*c. What is the derivative of z(b) wrt b?
-3*b**2 - 56*b
Let l(f) be the third derivative of f**8/6 - f**4/12 - 11*f**3/6 + 557*f**2. Find the second derivative of l(t) wrt t.
1120*t**3
Let s(b) be the second derivative of -43*b**5/10 + 203*b**4/12 + 196*b. Find the third derivative of s(y) wrt y.
-516
Let z(d) = -42*d**2 + 12*d + 19. Let p(c) = c**2 - 2*c. Let q(j) = -6*p(j) - z(j). Differentiate q(y) wrt y.
72*y
Let t(l) be the first derivative of 113*l**4/4 + 3*l**2/2 - 17*l + 132. What is the second derivative of t(o) wrt o?
678*o
Let a(l) be the second derivative of 5/4*l**4 + 16*l + 1/6*l**3 + 0*l**2 + 0. Find the second derivative of a(n) wrt n.
30
Let j(y) = 61*y**2 - y - 101. Let f(n) = -306*n**2 + 6*n + 507. Let h(i) = 2*f(i) + 11*j(i). Find the first derivative of h(g) wrt g.
118*g + 1
Let z(q) be the third derivative of 299*q**7/210 + q**5/12 - 14*q**3/3 + 15*q**2 + 7*q. Find the third derivative of z(m) wrt m.
7176*m
Let y(u) be the third derivative of 19*u**8/336 - 83*u**4/24 - 72*u**2. Find the second derivative of y(j) wrt j.
380*j**3
Differentiate 52 - 67*y**4 - 221*y**2 + 75 + 224*y**2 with respect to y.
-268*y**3 + 6*y
Let p(a) = -251*a + 443. Let b(s) = 250*s - 445. Let j(i) = 3*b(i) + 2*p(i). Differentiate j(g) with respect to g.
248
What is the second derivative of q + 24*q**3 + 56 - 38 - 7*q**3 + 0*q**2 + 2*q**2 + 26 wrt q?
102*q + 4
Let t(v) be the first derivative of -219*v**2 + 45*v + 312. Find the first derivative of t(g) wrt g.
-438
Suppose 16 = 2*v + 6. Let s = -2 - -7. What is the third derivative of -6*h**2 + 22*h**6 - h**v + h**s - 14*h**6 wrt h?
960*h**3
Let q(n) be the third derivative of n**5/30 - n**4/8 + 4*n**3/3 - 136*n**2. What is the second derivative of q(d) wrt d?
4
Let z(i) be the second derivative of 21*i + 0 - 4/3*i**3 + 0*i**4 + 3/4*i**5 + 0*i**2. What is the second derivative of z(g) wrt g?
90*g
Let a(q) be the third derivative of q**8/168 + 7*q**5/12 - 15*q**4/4 - q**3/6 + 122*q**2. Find the second derivative of a(u) wrt u.
40*u**3 + 70
Find the third derivative of -217*x**6 + 7*x**2 + 5 + x**2 + 9*x**2 - 34*x**2 wrt x.
-26040*x**3
Let n(u) = -256*u**2 + 5*u + 24. Let h(a) = -257*a**2 + 4*a + 26. Let s(y) = -4*h(y) + 3*n(y). What is the second derivative of s(z) wrt z?
520
Let z be 2 - (5/(-1) + 2). Suppose 2*j = 5*j + 2*r + z, -4*j + 3*r + 16 = 0. Differentiate -55*f**3 + 55*f**3 - 6*f**4 - j wrt f.
-24*f**3
Let t(i) = -5 - 1 - i**4 - i**2 + i + 7. Let c(k) = 4*k**5 + 6*k**4 + 12*k**2 - 6*k - 6. Let u(j) = c(j) + 6*t(j). What is the third derivative of u(d) wrt d?
240*d**2
Find the third derivative of 9*r**5 + 10*r**2 + 20*r**5 - 9*r**6 - 28*r**5 wrt r.
-1080*r**3 + 60*r**2
Let c(v) = 125*v**3 + 28*v**2 - 8*v - 12. Let w(z) = -125*z**3 - 21*z**2 + 7*z + 12. Let n(o) = 3*c(o) + 4*w(o). Find the second derivative of n(u) wrt u.
-750*u
Let h(a) = 2*a**2 + 3*a - 3. Suppose -2*f - 2*f = 12. Let v be h(f). What is the third derivative of 3*y**2 - 11*y**6 + 7*y**2 + 5*y**v - 4*y**2 wrt y?
-720*y**3
Let i(s) = 36*s**2 + 15*s + 9. Let g be i(7). Find the second derivative of -23*h - 25*h**5 - 1878*h**4 + g*h**4 wrt h.
-500*h**3
Let d(x) = -88*x**5 - 6*x**3 + 5*x + 54. Let m(h) = 175*h**5 + 13*h**3 - 11*h - 108. Let l(o) = 13*d(o) + 6*m(o). Find the second derivative of l(p) wrt p.
-1880*p**3
Let u be (-4)/(-3) - 22/(-6). Find the third derivative of z**2 + 4*z**6 - u*z**6 + 5*z**6 + 4*z**6 wrt z.
960*z**3
Let j(o) = -40*o**2 - 79*o + 9. Let q(c) = -2 + 0*c**2 + 7*c**2 + 7*c**2 + 20*c - 4*c**2. Let v(h) = 2*j(h) + 9*q(h). Find the second derivative of v(d) wrt d.
20
Let y(t) = t**2 + 6*t + 8. Let c be y(-4). Suppose 2*q + 17 = 3*a + 3*q, c = a - 3*q + 1. Find the third derivative of 3*z**2 - 3 + 13*z**a - 12*z**5 + 3 wrt z.
60*z**2
Let h(m) be the second derivative of m**7/42 + 31*m**6/3 + 237*m**3/2 - 5*m - 4. Find the second derivative of h(z) wrt z.
20*z**3 + 3720*z**2
Let u(l) be the first derivative of -19/6*l**6 + 0*l**5 + 0*l**3 - 17 + 0*l + 0*l**4 - 6*l**2. Find the second derivative of u(d) wrt d.
-380*d**3
Let n(s) be the second derivative of 7/2*s**2 + 0*s**5 + 4/15*s**6 + 0 + 0*s**4 + 0*s**3 - 8*s. Differentiate n(z) wrt z.
32*z**3
Let k = -28 + 45. What is the second derivative of -4*w**5 + 8*w - 30*w + k*w**5 wrt w?
260*w**3
Let h(j) be the third derivative of 0*j**3 - 19/24*j**4 + 0*j + 0 - 13*j**2 + 3/10*j**5. What is the second derivative of h(q) wrt q?
36
Let k(h) = -2*h**5 - 8*h**4 + 6*h**3 + 8*h**2 + 8*h - 6. Let i(o) = o**4 - o**3 - o + 1. Let a(d) = -6*i(d) - k(d). Find the third derivative of a(l) wrt l.
120*l**2 + 48*l
Let r(q) = -q**6 + q**3 + q**2 - 1. Let g(s) = 197*s**6 + 4*s**3 + 7*s**2 + 2*s - 4. Let a(k) = -g(k) + 4*r(k). What is the third derivative of a(u) wrt u?
-24120*u**3
Suppose 32*x - 8 = 28*x. Let k(h) be the first derivative of 4/3*h**3 + 0*h**4 + 0*h**5 - 1/3*h**6 - 3 + 0*h**x + 0*h. Find the third derivative of k(f) wrt f.
-120*f**2
Let x be (20/8 + -1)/(9/24). Let d(i) = 2*i**2 + i + 1. Let f be d(-1). What is the second derivative of -3*t - 3*t**2 - x*t + f*t + t wrt t?
-6
Suppose s - r - 24 = 0, 0*r + 3*r + 100 = 4*s. Suppose d = 3*d - s. Find the third derivative of -j**2 + 4*j**2 - d*j**5 + 18*j**5 wrt j.
240*j**2
Let t = 134 - 96. Let v = t + -27. Differentiate n**4 + v*n - n - 10*n - 4 wrt n.
4*n**3
Let l = 9 + -1. Differentiate -l*d**4 + 2 - 13*d**4 + 39*d**4 wrt d.
72*d**3
Let m(h) be the second derivative of -h**5/5 - h**4/6 + h**3/3 + 3*h**2/2 + 3*h. What is the second derivative of m(b) wrt b?
-24*b - 4
What is the third derivative of 15*x**5 + 7*x**6 + 0*x**5 - 64*x**2 + 73*x**2 - 13 wrt x?
840*x**3 + 900*x**2
Let x(i) = 109*i**5 + 5*i**3 + 2*i**2 - 5*i - 25. Let g(w) = -w**5 + w**3 - w - 1. Let q(n) = 5*g(n) - x(n). What is the third derivative of q(o) wrt o?
-6840*o**2
Let f(c) = 370*c**2 + 302*c - 5. Let b(d) = -d**2 - 5. Let s(a) = -b(a) + f(a). Find the second derivative of s(t) wrt t.
742
Let o(h) = -h**2 - 14*h - 17. Let f be o(-12). Suppose -f*t = -8*t + 5. Find the third derivative of 3*l**5 + 2*l**5 - 5*l**2 + 4*l**5 + t*l**5 wrt l.
840*l**2
Let c(f) = f**2 - 3. Let o(z) = -63*z**3 - 12*z**2 - 21. Let t(i) = 12*c(i) + o(i). Differentiate t(g) with respect to g.
-189*g**2
Let j = 763 + -756. Let y(m) be the second derivative of -j*m + 0 - 6*m**2 - 5/3*m**3. What is the first derivative of y(t) wrt t?
-10
Let w = 78 + -73. Find the third derivative of -3*x**2 + w*x**6 + 6*x**3 - 6*x**6 - 17*x**2 wrt x.
-120*x**3 + 36
Suppose 5*b + 10 = -3*m, -m - 3*m + 10 = -5*b. Let d = m - -3. What is the third derivative of 0*z + 0*z - d*z**2 + 2*z**3 + z**3 wrt z?
18
Suppose -147 - 312 = -9*b. What is the derivative of b*y**3 - 17*y**3 - 15*y**3 + 12 wrt y?
57*y**2
Let u(n) be the first derivative of 11*n + 0*n**2 + 2 + 0*n**3 + 9/5*n**5 + 0*n**4. Find the first derivative of u(s) wrt s.
36*s**3
Let j = -770 + 774. Let i(g) be the first derivative of 0*g**j + 3 - 3/2*g**2 + 0*g + 4/5*g**5 + 0*g**3. Find the second derivative of i(o) wrt o.
48*o**2
Let z be 4/6*(-6)/4. Let q be (z/2)/((-1)/8). What is the derivative of 2 + q*m**4 + 3 - m**4 wrt m?
12*m**3
Let u = -101 - -106. Let y(l) be the first derivative of 0*l**3 + 5 + 1/2*l**2 + 0*l**4 + 0*l - 4/5*l**u. Find the second derivative of y(s) wrt s.
-48*s**2
Let p = 3 - -1. Suppose j = 4*s + 5*j - 12, p*s = 3*j + 5. What is the second derivative of -2*k**3 - k**2 - s*k + k**2 + 6*k wrt k?
-12*k
Let c be (4/(-10))/(1/(-5)). Let f be 6*1/2*c. What is the third derivative of -4*m**2 + 14*m**5 + f*m**2 - 13*m**5 