t p(i) = -5*q(i) - 2*w(i). Differentiate p(k) with respect to k.
-48*k**2 - 1
Suppose 5*s - 20 + 10 = 0. Suppose -4*t + 5*w + 1 = s*w, 9 = t + w. What is the third derivative of 11*a**2 - 5*a**2 - t*a**3 - 7*a**2 wrt a?
-24
Let q(g) be the second derivative of g**7/120 - 2*g**6/45 + g**3/3 - 8*g. Let w(s) be the second derivative of q(s). Find the third derivative of w(v) wrt v.
42
Let c(z) be the second derivative of 0*z**2 + 0*z**3 + 18*z + z**4 + 0 + 7/10*z**5. Find the third derivative of c(a) wrt a.
84
Suppose 0 = -3*p - 3*y + 108, 5*y = -4*p + p + 116. Find the second derivative of -8*f**3 + 32*f**4 + 7*f**3 - p*f + f**3 wrt f.
384*f**2
Suppose -h - 10 = -3*h. Let t(i) = i**2 - 12*i + 41. Let a be t(6). Find the second derivative of -5*x - h*x + 3*x + 2*x - a*x**2 wrt x.
-10
Let w = 7 + 5. Suppose -2*c = 2*c - w. Find the third derivative of 7*i**2 - 5*i**6 + 0*i**6 - 6*i**2 - c*i**2 wrt i.
-600*i**3
Suppose -6*i = i - 14. Let b(q) = 140*q**2 + 210*q. Let j(t) = -20*t**2 - 30*t. Let u(o) = i*b(o) + 15*j(o). What is the second derivative of u(l) wrt l?
-40
Suppose -117 = -4*a + 3. Let t = 46 - a. What is the first derivative of 6 + t + 12*l**2 - 18 wrt l?
24*l
Suppose -5*p = -7*p + 90. Suppose -5*f - p = -5*n, -4*n + 4 - 13 = 5*f. What is the derivative of -o + o + 3*o + 10 + n*o wrt o?
7
Suppose 4*i - 13 = y, 4*i + y + 3 = 14. What is the derivative of -26*o**i + 10*o**3 + 3*o**3 - 21*o**3 + 1 wrt o?
-102*o**2
Suppose -9*p + 8*p = -3. Suppose p*h = 8*h - 25. What is the third derivative of 8*k**h - 3*k**3 + 3*k**3 - 3*k**2 wrt k?
480*k**2
Let s(a) be the second derivative of a**4/3 - 2*a**3/3 - 78*a**2 - 163*a. Differentiate s(i) with respect to i.
8*i - 4
Let d(t) = -t**2 + 7*t + 1. Let a(w) = -7*w**2 + 172*w - 161. Let m(v) = -a(v) + 5*d(v). Differentiate m(s) with respect to s.
4*s - 137
Let t(k) = -365*k**3 + 4*k**2 - 1151*k - 9. Let v(z) = -91*z**3 + z**2 - 288*z - 2. Let b(u) = 2*t(u) - 9*v(u). What is the second derivative of b(m) wrt m?
534*m - 2
What is the first derivative of 2368 + 2372 - 3*t**2 + 210*t - 4959 wrt t?
-6*t + 210
Find the second derivative of -118*q**4 - 3 + 93*q**4 - 1 - 4*q**5 - 12*q wrt q.
-80*q**3 - 300*q**2
Let s(p) = -p**2 - 1. Let m(w) = 61*w**2 + 62. Let j(l) = m(l) + 6*s(l). Find the first derivative of j(y) wrt y.
110*y
Find the second derivative of g**3 - 3 + 3*g + 160*g**4 - 158*g**4 + 67 wrt g.
24*g**2 + 6*g
Let z(n) = 2*n**2 + 19*n + 2. Let w be z(-12). What is the first derivative of -6*g**3 + w + g**2 - g**2 - 47 wrt g?
-18*g**2
Find the third derivative of -4*j**2 + 2*j - 3*j - 30*j**3 - 52*j**3 + 27*j**2 wrt j.
-492
What is the first derivative of 37*d**2 + 211 + 91 + 10*d**2 wrt d?
94*d
Let g(k) be the first derivative of -3/2*k**2 + 0*k + 2/3*k**3 - 1/24*k**4 + 5. Let d(p) be the second derivative of g(p). Differentiate d(j) with respect to j.
-1
Let k(h) be the third derivative of -9*h**2 + 0*h**4 + 0*h - 11/60*h**5 + 0 - 3/2*h**3. What is the first derivative of k(y) wrt y?
-22*y
Suppose -i - 6 = -0. Let h(g) = -3*g - 12. Let m be h(i). Find the second derivative of 7*p - 6*p - m*p**5 + p**5 - 2*p wrt p.
-100*p**3
Let a(w) be the second derivative of 11/12*w**4 + 0*w**5 + 0*w**3 + 0*w**2 + 0 - 4/21*w**7 - 13*w + 0*w**6. What is the third derivative of a(o) wrt o?
-480*o**2
Let z be (63/14)/(6/8). Find the third derivative of 10*j**6 - 2*j**2 - 9*j**2 + j**z wrt j.
1320*j**3
What is the third derivative of 3836*c + 5*c**2 + 43*c**3 + 7*c**2 - 3844*c + 178*c**3 wrt c?
1326
Let x(v) = v**2 + v - 3 + 5 - 1. Let z(q) = 6*q**2 - 17*q + 26*q + 11 + 2. Let l(u) = 18*x(u) - 2*z(u). What is the derivative of l(i) wrt i?
12*i
Suppose 0 = 2*p + 2*m - 6, -2 - 17 = -3*p + 2*m. Find the third derivative of 16*w**2 - 28*w**p + 4*w**2 - 12*w**2 wrt w.
-1680*w**2
Let y(j) = -19*j**2 + 286*j + 12. Let q(r) = -22*r**2 + 286*r + 10. Let z(c) = 6*q(c) - 5*y(c). Find the second derivative of z(i) wrt i.
-74
Let n(y) be the third derivative of y**7/42 + 2*y**5/5 - 11*y**4/24 - y**3/3 - 8*y**2 + 5*y. Find the second derivative of n(s) wrt s.
60*s**2 + 48
Let x(f) = -3*f - 62. Let v be x(-22). Differentiate 205 + 4*o**v + 24*o**4 - 178 wrt o.
112*o**3
What is the third derivative of -61*r**2 - 75*r**6 + 28*r**6 - 30*r**6 wrt r?
-9240*r**3
Let b(t) = 5*t**4 + 105*t**3 + 411*t - 7. Let r(c) = 2*c**4 + 52*c**3 + 206*c - 3. Let u(h) = 3*b(h) - 7*r(h). Find the second derivative of u(v) wrt v.
12*v**2 - 294*v
Suppose -3*x - 13*a = -12*a - 31, -5*x - 2*a + 50 = 0. What is the derivative of 6*u**2 - 2 - 28 - 3 - x*u**2 wrt u?
-12*u
What is the third derivative of -14*l**2 + 141*l**6 + 134*l**6 + 5*l**2 + 317*l + 6*l**2 + l**2 wrt l?
33000*l**3
Let b(i) be the first derivative of 5*i**4/4 - i**3/3 - 67*i - 38. Differentiate b(s) wrt s.
15*s**2 - 2*s
Suppose 4 + 46 = 2*o. What is the second derivative of -2 - o*v**2 + 24*v - 24*v + 21*v wrt v?
-50
Let z(b) = -b**2 + 17*b - 39. Let m be z(14). Let f(k) be the third derivative of 6*k**2 + 0*k + 0 + 7/12*k**4 - 2/3*k**m. Differentiate f(y) wrt y.
14
Let t(s) = 72*s + 38. Let r(b) = -37*b - 19. Let g(n) = -5*r(n) - 3*t(n). Differentiate g(h) with respect to h.
-31
Let m(b) = 429*b**2 + 6*b + 2. Let s(d) = -d**2 - 5*d. Let q(a) = m(a) + s(a). Find the second derivative of q(j) wrt j.
856
Let n(c) be the first derivative of 529*c**6/6 - 2*c**3/3 + 41*c + 430. Find the third derivative of n(z) wrt z.
31740*z**2
Let p(r) be the second derivative of -r**7/21 + 5*r**6/6 - r**4/2 - r**3/2 + 67*r + 3. Find the third derivative of p(t) wrt t.
-120*t**2 + 600*t
Suppose -2*o = -o - 1. Let d be (-4)/o - (-5 - 2). Find the third derivative of -5*u**3 + 5*u**d - 6*u**2 + 4*u**4 wrt u.
96*u
Let b(n) be the first derivative of -6*n**2 - 2*n**3 + 4*n**3 + 0*n**3 + 3*n**3 - 12. Find the second derivative of b(v) wrt v.
30
What is the second derivative of -23*d + 58*d**2 - 29*d - 48 + 81*d - 2*d**5 - 34*d wrt d?
-40*d**3 + 116
Let z(m) = m**3 + 4 + 3 - 9*m - 5*m**2 + 3 - 2*m**2. Let i be z(8). Find the third derivative of 10*u**3 - 16*u**3 + 11*u**3 - i*u**2 wrt u.
30
Let z(d) be the second derivative of 23*d + 0 - 5/3*d**3 + 17/2*d**2. Differentiate z(y) wrt y.
-10
Let u(z) be the second derivative of -1 - 49/30*z**6 + 2*z + 0*z**5 + 19/2*z**2 + 1/6*z**3 + 0*z**4. What is the second derivative of u(m) wrt m?
-588*m**2
Let k(s) = 2 + 10 - 9 - 11*s**2 - 62*s**3 - 10*s - s. Let x(h) = 21*h**3 + 4*h**2 + 4*h - 1. Let t(a) = 4*k(a) + 11*x(a). Differentiate t(n) with respect to n.
-51*n**2
Let r be (-5)/1 + 2 - -7. Suppose 0 = -u + r*u - 6. What is the second derivative of -3*l**2 - 5*l + 6*l**5 + l**u + 2*l**2 wrt l?
120*l**3
Let a(n) = -2*n**3 - 9*n**2 - 8*n + 4. Let x be a(-6). What is the third derivative of 2*b**6 + 77*b**2 - x*b**2 + 77*b**2 wrt b?
240*b**3
Let a be ((7 - 4) + 1)*1. Suppose 0 = 4*c - 4*r - 32, 2*r + 0 = -3*c + a. Find the second derivative of -c*o + o**3 + 6*o + 9*o**3 wrt o.
60*o
Suppose 2*y + 3*q = 6*y - 60, 3*y + 4*q = 45. Find the second derivative of -i**3 + 28*i**2 + i - y*i**2 - 13*i**2 wrt i.
-6*i
Let v(o) be the second derivative of -14*o**2 + 0 - 1/2*o**5 + 0*o**3 + 0*o**4 + 6*o. Differentiate v(l) with respect to l.
-30*l**2
Let y(w) be the first derivative of 30*w**4 - 2*w**3 - 5*w**2/2 - 64. What is the third derivative of y(g) wrt g?
720
Let u(a) = a**3 + 4*a**2 + 2*a - 1. Let q be u(-3). Find the third derivative of 51*x**4 + 95*x**4 - 111*x**4 - 14*x**q wrt x.
840*x
Let j(c) be the second derivative of 5*c**5/4 + c**3/6 + 17*c**2 + 2*c - 5. Find the second derivative of j(g) wrt g.
150*g
Let i(u) = -4*u**4 + 17*u**3 + 9*u**2 + 182. Let q(z) = -2*z**4 + 8*z**3 + 4*z**2 + 91. Let b(f) = 4*i(f) - 9*q(f). Find the first derivative of b(s) wrt s.
8*s**3 - 12*s**2
Find the third derivative of -148*u**6 + 12*u**4 - 533*u**2 - 55*u**4 - 632*u**6 + 43*u**4 + u wrt u.
-93600*u**3
Suppose -8*o + 38 = -10. What is the third derivative of -4*g**o - 22*g**6 + 28*g**2 - 11*g**6 wrt g?
-4440*g**3
Let l(y) = -62*y - 128. Let q(t) = 119*t + 256. Let b(v) = -7*l(v) - 4*q(v). Differentiate b(u) with respect to u.
-42
Let b = 16 + -17. Let o be b + 3 + -1 + 3. Differentiate 20 - 36 - o*s**2 + 26 with respect to s.
-8*s
What is the derivative of 1684*y**2 - 46 - 75 - 1718*y**2 wrt