t k(h) = 11*o(h) + 2*q(h). What is the second derivative of k(t) wrt t?
14
Let v(r) be the second derivative of -r**6/40 - 13*r**5/60 + 5*r**2 + 9*r. Let b(f) be the first derivative of v(f). What is the third derivative of b(y) wrt y?
-18
Let y(m) be the third derivative of -71*m**5/10 + 161*m**3/3 + 382*m**2. Find the first derivative of y(v) wrt v.
-852*v
Suppose -2585 + 751 = -7*o. Find the third derivative of -220*i**3 + o*i**3 - 7*i**2 - 19*i**2 wrt i.
252
Differentiate 19*g**2 - 18*g**2 - 12*g**4 - 13 + 35*g**4 wrt g.
92*g**3 + 2*g
Suppose 5*n = -h + 4*n + 5, 0 = 4*n - 8. Suppose -7*o - 17 = y - h*o, -3*o - 15 = 0. Find the second derivative of u**5 - 4*u**5 - u + y*u + u wrt u.
-60*u**3
Let u(n) be the third derivative of -n**8 + 181*n**4/8 - 229*n**2 - 2. Find the second derivative of u(h) wrt h.
-6720*h**3
Let h(p) be the first derivative of -p**6/2 - 3*p**4/4 + 8*p - 1. Let u(d) be the first derivative of h(d). Find the third derivative of u(i) wrt i.
-360*i
Let r(k) be the first derivative of 444*k**5/5 - k**3 - 86*k + 583. Find the third derivative of r(y) wrt y.
10656*y
Let h(m) be the third derivative of -7*m**6/180 + m**4/8 + 5*m**3/6 - 3*m**2. Let d(w) be the first derivative of h(w). Find the first derivative of d(r) wrt r.
-28*r
Let b be -2 - -1*(-4)/1. Let a(q) = -32*q - 4. Let w(z) = -64*z - 9. Let s(m) = b*w(m) + 11*a(m). What is the derivative of s(y) wrt y?
32
Let s(v) be the first derivative of v**8/48 - 3*v**4/8 + 3*v**2 + 8. Let c(f) be the second derivative of s(f). What is the second derivative of c(l) wrt l?
140*l**3
Differentiate -10 - 14 + 429*y - 6 + 3 - 3 with respect to y.
429
Let f = 584 - 584. Let i(v) be the third derivative of -7*v**2 + 1/40*v**6 + 0*v**3 + 0*v + 0*v**4 + f + 1/10*v**5. What is the third derivative of i(x) wrt x?
18
Let d(h) be the first derivative of -301*h**3 + 991*h - 462. What is the first derivative of d(f) wrt f?
-1806*f
Differentiate -67*k + 122*k + 18 + 60*k - 8 + 21 wrt k.
115
Let y(b) be the third derivative of b**8/84 - b**7/105 + b**5/60 - b**4/24 + 50*b**2. What is the third derivative of y(j) wrt j?
240*j**2 - 48*j
Let g(o) = 200*o + 92. Let k(i) = 7. Let j(v) = -g(v) - k(v). What is the derivative of j(w) wrt w?
-200
Differentiate 47 - 3*p**2 + 4*p**2 + 6769*p - 6909*p wrt p.
2*p - 140
Let w be (0/(-1))/(-10 + 12). Let d be (-16)/6*18/(-8). Find the second derivative of -q**2 + 0*q**2 + w*q - 2*q + d*q wrt q.
-2
Let a be (170/17)/((-2)/(-4)). Find the third derivative of -12*g**6 - 10 - a*g**6 - 4*g**2 - 13*g**6 + 15 wrt g.
-5400*g**3
Let t(z) be the second derivative of -z**5/40 - 5*z**4/12 + 3*z**3/2 - 14*z. Let o(p) be the second derivative of t(p). What is the derivative of o(i) wrt i?
-3
Let u(v) be the first derivative of -47*v**3/3 + 21*v - 80. Differentiate u(h) with respect to h.
-94*h
Let u(l) = -66*l**5 - 18*l**4 - 6*l**3 - 741*l**2 - 18*l. Let i(o) = -o**5 - o**4 - o. Let c(f) = 18*i(f) - u(f). What is the third derivative of c(w) wrt w?
2880*w**2 + 36
Let a(v) be the second derivative of v**3/6 + 7*v**2/2 + 4*v. Let p be a(-5). Find the second derivative of l**p - 3*l + l + l - 2*l wrt l.
2
Let t(o) be the second derivative of 0 + 2*o**2 + 1/2*o**4 + 4*o + 0*o**3. What is the first derivative of t(c) wrt c?
12*c
Let p(z) be the first derivative of z**6/6 - 37*z**4/4 + 11*z**3 + z + 115. What is the third derivative of p(l) wrt l?
60*l**2 - 222
Let g(s) be the third derivative of 0 + 0*s + 0*s**7 + 0*s**6 + 0*s**3 - 3/8*s**4 + 1/12*s**8 + 0*s**5 + 18*s**2. What is the second derivative of g(o) wrt o?
560*o**3
Let v = 562 - 556. Suppose -w = -3*w + 8. What is the third derivative of -w*q + 25*q**6 + 4*q - 30*q**v + 11*q**2 wrt q?
-600*q**3
Let r(t) = -t**3 + 5*t**2 + 6*t + 2. Let m be r(6). Find the third derivative of -130*w**m - 10*w**6 - 2*w**3 + 2*w**3 + 109*w**2 wrt w.
-1200*w**3
What is the third derivative of -273*f**2 - 89*f**4 + 42*f - 55*f + 13*f wrt f?
-2136*f
Let f(q) be the second derivative of q**8/80 + q**5/120 - 2*q**3 - 20*q. Let i(t) be the second derivative of f(t). Find the second derivative of i(m) wrt m.
252*m**2
Let a = -2569 + 2572. Let b(d) be the second derivative of 3*d**2 - 3*d + 0*d**4 + 0 + 7/20*d**5 + 0*d**a. What is the first derivative of b(t) wrt t?
21*t**2
Let r = -6 - 14. Let a = -15 - r. What is the third derivative of -6*s**a - 5*s**2 - s**2 + 0*s**2 wrt s?
-360*s**2
Suppose 30*f = 26*f + 3692. What is the second derivative of f + 6*k + 11*k**3 - 923 wrt k?
66*k
Let l(i) = 15*i + 310. Let k(d) = 5*d + 103. Let v(u) = 11*k(u) - 4*l(u). What is the derivative of v(b) wrt b?
-5
Let u(a) be the second derivative of 246*a**5/5 + 969*a**2/2 - 180*a. What is the first derivative of u(b) wrt b?
2952*b**2
Let d(g) = g**3 - 5*g**2 + 2*g - 4. Let w be d(5). Find the second derivative of -w*c**5 + c - c**5 + 5*c - 2*c**5 wrt c.
-180*c**3
Let t(z) be the first derivative of 13*z**7/105 + z**5/15 - 15*z**2/2 - 6. Let f(j) be the second derivative of t(j). Find the third derivative of f(q) wrt q.
624*q
Suppose 3*n + n = 32. What is the third derivative of n*q**2 - 13*q**3 + 14*q**3 + 20*q**2 wrt q?
6
Let m(h) = 3*h. Let c be m(1). Let r = c + 1. What is the second derivative of 4*n + 3*n**4 + 0*n**r + n wrt n?
36*n**2
Let s(t) = -45*t**4 - 7*t**2 - 7*t + 149. Let j(z) = 45*z**4 + 6*z**2 + 6*z - 149. Let l(n) = 7*j(n) + 6*s(n). Differentiate l(k) with respect to k.
180*k**3
Let x(b) be the first derivative of 9/2*b**2 + 6*b**3 - 21 + 1/2*b**4 + 0*b. Find the second derivative of x(m) wrt m.
12*m + 36
Let m = 118 + -114. What is the derivative of -22*s**m - 11*s**4 - 27 - 4*s**4 wrt s?
-148*s**3
Let i(t) = -9*t**4 - 2*t + 3. Let s(p) = -17*p**4 - 5*p + 6. Let o be (-1)/(-1)*(-5 - -10). Let v(j) = o*i(j) - 2*s(j). Find the first derivative of v(l) wrt l.
-44*l**3
Let y(d) be the second derivative of 13*d + 1/3*d**3 - 43/2*d**2 + 0. What is the first derivative of y(j) wrt j?
2
What is the third derivative of -2826049 - 1043*c**4 + 330*c**2 + 2826049 wrt c?
-25032*c
Let h(q) = -42*q**5 - q**3 - q - 5. Let f(r) = -21*r**5 - r**3 - 2. Let t(i) = -5*f(i) + 3*h(i). Find the second derivative of t(y) wrt y.
-420*y**3 + 12*y
Find the third derivative of 1 + 9*n**3 + 6*n**3 - 41*n**2 + 20*n**3 - n**3 wrt n.
204
Find the third derivative of x + 95156 - 2*x**2 - 95156 - 93*x**6 wrt x.
-11160*x**3
Let a(m) = -m**3 - 7*m**2 - 4*m + 15. Let h be a(-6). Differentiate 42*c**h - 5 - 30*c**3 - 6 wrt c.
36*c**2
Suppose u - 14 = -4*t, -13*t = -u - 12*t - 1. Let r(i) be the second derivative of u*i**2 + 2/3*i**3 + 0 - 10*i. Differentiate r(c) with respect to c.
4
Let m(c) be the third derivative of -59*c**6/24 + 77*c**5/10 - 10*c**2 - 22. Find the third derivative of m(u) wrt u.
-1770
Let u(n) = -117*n**2 - 110*n - 11. Let a(l) = 118*l**2 + 108*l + 9. Let b(c) = 5*a(c) + 4*u(c). What is the second derivative of b(s) wrt s?
244
Suppose 9*a + 78 = 3*a. Let i = a + 15. What is the second derivative of f + 2*f**3 - 12*f**2 + 7*f**3 + 12*f**i wrt f?
54*f
Find the third derivative of -590*q**6 + 1130*q**6 - 77*q**2 - 588*q**6 wrt q.
-5760*q**3
Find the second derivative of -1484 - 175*q**4 + 97*q + 739 + 745 wrt q.
-2100*q**2
Let r(i) = -2*i**2 - 4*i + 3. Let p(x) = -x**2 - 3*x + 4. Let n = -39 + 42. Let f(l) = n*r(l) - 4*p(l). What is the first derivative of f(m) wrt m?
-4*m
Let x(u) be the first derivative of 15*u**2/2 - 208*u - 356. Find the first derivative of x(a) wrt a.
15
Let d(y) = y**4 - y**3 - y**2. Let h(j) = -45*j**4 - 5*j**3 - 10*j**2 + 20*j. Let c(l) = 5*d(l) - h(l). Find the third derivative of c(t) wrt t.
1200*t
Suppose -3*k = -10 - 2. Find the second derivative of 6*x + x + 10*x**5 + 6*x + k*x**5 wrt x.
280*x**3
Let s(p) = 238*p**2 - 16*p - 26. Let x(w) = -119*w**2 + 9*w + 13. Let t(y) = 3*s(y) + 5*x(y). What is the second derivative of t(a) wrt a?
238
Let k(c) = 2*c**4 - c**3 + c. Let v(y) = y**4 + 46*y**3 - 163*y**2 + 2*y. Let s(b) = -2*k(b) + v(b). What is the third derivative of s(l) wrt l?
-72*l + 288
Let i(h) = h**2 + 1. Let u(o) = -2*o**2 + 3*o - 3. Let n = 14 - 4. Let k = n - 8. Let z(p) = k*u(p) + 6*i(p). Find the second derivative of z(d) wrt d.
4
Let x be (-2 - 6 - 0)*1. Let f = x - -17. Find the third derivative of f*b**3 + 0*b**2 + 4*