et r(t) be the first derivative of t**5/5 + 79*t**4/4 - 234*t + 157. Differentiate r(h) with respect to h.
4*h**3 + 237*h**2
Let s = -38 - -40. Let h(i) = -i**2 - i - 1. Let u(w) = 2*w**2 + w - 7. Let a(g) = s*h(g) + 2*u(g). What is the first derivative of a(m) wrt m?
4*m
Let s(j) = 139*j**4 - 4*j**2 - 8*j - 701. Let a(w) = 278*w**4 - 9*w**2 - 18*w - 1400. Let n(u) = -4*a(u) + 9*s(u). What is the derivative of n(t) wrt t?
556*t**3
Let u(y) = y**3 + y**2. Let k(v) = -29*v**3 + 6*v**2 - 50. Let o(p) = k(p) - 6*u(p). Differentiate o(w) wrt w.
-105*w**2
Suppose 8*n - 11*n - 30 = 0. Let w = 4 - n. What is the second derivative of f**5 + 14*f**2 - w*f**2 - f wrt f?
20*f**3
Find the third derivative of 338*x**3 - 121*x**3 - 2*x**4 - 108*x**3 + 74*x**2 - 127*x**3 - 102*x**3 wrt x.
-48*x - 720
Suppose -1 = -3*i - 5*w + 20, 0 = -w + 3. Let a be 46/4 + (-1)/(-2). Find the third derivative of -5*k**i - 6*k**4 + a*k**2 + 3*k**4 wrt k.
-72*k
Let y(f) be the first derivative of -f**5 + 7*f**3/6 - 5*f - 15. Let s(t) be the first derivative of y(t). What is the second derivative of s(h) wrt h?
-120*h
Let n(q) = -q**2 + 7*q - 5. Let a be n(5). Suppose 2*h + h = -o, a*o = -3*h. Differentiate h*w**2 - 5 + 9 - 5*w**2 with respect to w.
-10*w
Let f(o) = 72*o**3 + 2*o**2 - 14*o. Let d(r) = -r**3 + r. Let g(a) = 3*d(a) + f(a). What is the second derivative of g(u) wrt u?
414*u + 4
Let v(n) = -n + 9. Let s be v(7). Differentiate -11*f**2 - 51 + 5*f**2 + 15 - 7*f**s with respect to f.
-26*f
Let b(g) be the first derivative of -313*g**2/2 - 187*g - 470. Differentiate b(u) with respect to u.
-313
Let n(b) be the first derivative of 0*b**2 - 5/3*b**3 - 2 + 4*b. Differentiate n(r) with respect to r.
-10*r
Let t(z) = z**3 + 11*z**2 - 11*z + 15. Let w be t(-12). Find the third derivative of -11*g**2 - 3*g**3 + 30*g**5 + 3*g**w - 13*g**5 wrt g.
1020*g**2
Let g = 23 + -23. Suppose 4*t = 2*o + 14, 0*o = -2*t + 4*o + 4. Find the third derivative of -2*j**2 - 5*j**4 + g*j**t - 2*j**2 wrt j.
-120*j
Let r(d) be the second derivative of -d**6/60 - 5*d**3/3 + 7*d**2/2 + 2*d. Let i(h) be the first derivative of r(h). What is the derivative of i(y) wrt y?
-6*y**2
What is the third derivative of -98*z**4 + 5634*z - 5634*z + 2*z**2 wrt z?
-2352*z
Let w(a) = -59*a**2 - 26*a - 9. Let t(h) = -178*h**2 - 78*h - 30. Let r(m) = 3*t(m) - 10*w(m). Find the second derivative of r(g) wrt g.
112
Let i = -3 + 8. Suppose -3*y = -2*j - 16, 0*j - j = -i*y + 15. Find the third derivative of 7*u**3 - y*u**3 + 2*u**2 + 4*u**2 + 0*u**2 wrt u.
30
Let h(l) be the third derivative of l**6/60 - l**5/30 + 25*l**4/12 - 130*l**2. What is the second derivative of h(w) wrt w?
12*w - 4
Let u(d) = -3*d**3 - 2*d**2 + d + 1. Let a(j) = -94*j**4 + 7*j**3 + 7*j**2 + 47*j - 3. Let h(i) = a(i) + 3*u(i). Find the third derivative of h(p) wrt p.
-2256*p - 12
Let x(j) = 2*j**2 + 4*j - 23. Let c be x(-6). Find the second derivative of 2*n + 8*n**2 + c*n + 2*n - 6*n wrt n.
16
What is the third derivative of -7*v**2 - 2*v - 93*v**6 - 8*v**3 - 4*v + 6*v + 103*v**6 - 23 wrt v?
1200*v**3 - 48
Let n(j) be the first derivative of 30*j**4 - 3*j**2/2 + 36*j - 36. Find the second derivative of n(i) wrt i.
720*i
Let y(u) be the first derivative of 7*u**6/30 + 2*u**4/3 - 14*u - 33. Let b(c) be the first derivative of y(c). Find the third derivative of b(l) wrt l.
168*l
Let i be 14/(-92 - -8)*(-3 - 1). Let a(j) be the second derivative of 3/20*j**5 - i*j**3 + 0*j**2 + 0 + 0*j**4 + j. Find the second derivative of a(y) wrt y.
18*y
Let o = -16 - -18. Let t(f) = o + 3*f**3 + f**3 + 0*f**3 + 2. Let w(r) = r**3 + 1. Let b(v) = -2*t(v) + 9*w(v). Differentiate b(s) wrt s.
3*s**2
What is the first derivative of 164 - 30 - 2*r - 84 - 2*r**3 wrt r?
-6*r**2 - 2
Let l = -79 - -82. Find the third derivative of -34*q**l - 256 + 256 - 28*q**2 wrt q.
-204
Let q(c) = c**3 - 5*c**2 - c + 1. Let u(y) = -87*y**3 + 5*y**2 + y + 116. Let i(v) = 2*q(v) + 2*u(v). Differentiate i(k) wrt k.
-516*k**2
Let z(w) be the second derivative of 303*w**8/56 - 349*w**4/12 + 2*w - 10. What is the third derivative of z(y) wrt y?
36360*y**3
Let y = 10 - -1. Suppose 6*u - 7 = y. Differentiate -4 - 5*b**3 + 6*b**3 - 7*b**u wrt b.
-18*b**2
Let c be (64/(-48))/((-2)/3). Find the second derivative of -11*l**2 + 11*l**2 + 18*l**c + 17*l wrt l.
36
Let k be (-24)/(-14)*(-14)/(-4). Suppose -2*n + n + k = 0. What is the third derivative of 2*q**2 - q**2 + 0*q**6 - q**n wrt q?
-120*q**3
Let q(y) be the second derivative of -y**3/2 + 75*y**2/2 - 75*y - 2. What is the derivative of q(a) wrt a?
-3
Let w(f) be the first derivative of -17*f**9/3024 + 2*f**6/45 + 6*f**3 + 31. Let i(z) be the third derivative of w(z). Find the third derivative of i(y) wrt y.
-1020*y**2
What is the third derivative of -96*z**2 + 52*z**2 + 60*z**2 - 101*z**3 wrt z?
-606
Suppose -11 + 1 = 5*w + 4*z, 4*z = 4*w - 28. What is the first derivative of -u**3 - 742*u - w*u**3 + 6 + 742*u wrt u?
-9*u**2
Let n(t) be the second derivative of -5*t + 0 + 14/3*t**3 + 1/2*t**2. What is the first derivative of n(q) wrt q?
28
Let p(i) be the third derivative of -775*i**4/24 + 727*i**3/6 + 10*i**2 + 4*i. Differentiate p(q) with respect to q.
-775
Let s = 10 + -14. Let c(n) = 31*n**3 - 9*n - 7. Let p(x) = 15*x**3 - 4*x - 3. Let r(q) = s*c(q) + 9*p(q). What is the first derivative of r(y) wrt y?
33*y**2
Let d(l) be the third derivative of 0 - 36*l**2 + 0*l**4 + 11/60*l**6 - 1/3*l**3 + 1/30*l**5 + 0*l. What is the derivative of d(b) wrt b?
66*b**2 + 4*b
Let m(b) be the second derivative of 0 + 27*b - 25/12*b**4 + 0*b**3 + 1/6*b**6 + 0*b**2 + 0*b**5. What is the third derivative of m(u) wrt u?
120*u
Suppose -5*d + 2*f = -19, -2*d + 3 = -2*f - 7. Find the third derivative of 347*w**3 - 6*w**2 - 347*w**d + 6*w**5 wrt w.
360*w**2
Let x be 0/(-117)*(-1)/3. Let s(r) be the third derivative of 1/6*r**3 + 4*r**2 + 0 + x*r - 1/6*r**4. Differentiate s(h) wrt h.
-4
Suppose 2*x - 15 = 3. Let y = 11 - x. Find the second derivative of -3*a**y + 85 - a - 2*a - 85 wrt a.
-6
Let m(o) = o**3 - o**2 + o + 1. Let v(q) = -204*q**4 - 5*q**3 + 5*q**2 + 4*q - 6. Let a(r) = -5*m(r) - v(r). What is the second derivative of a(x) wrt x?
2448*x**2
Let a = 4 - -1. What is the second derivative of 2*i**5 + 16*i**5 + 12*i**5 + 4*i + 10*i**a wrt i?
800*i**3
Let n be (-149)/(-1 + 3 + -3). Suppose 13 = -4*w + n. What is the third derivative of w*z**5 - 34*z**5 + 6*z**6 + z**2 wrt z?
720*z**3
Find the third derivative of -2*b**3 + 15*b + 21*b - 27*b + 2*b**2 + 19*b wrt b.
-12
Let s(x) be the first derivative of -205*x**2/2 + 421*x - 265. Differentiate s(t) with respect to t.
-205
Suppose 5*z - u - 44 = 0, -3*u + 7 = -2*z + 22. What is the third derivative of -z*b**3 - 2*b + 2*b + 7*b**3 - 2*b**2 wrt b?
-12
Suppose -7 = -4*a - 3. What is the derivative of 0 - r**2 + 3*r**2 + a - 7 wrt r?
4*r
What is the first derivative of -216 + 23*a + 5*a + 384 - 190 wrt a?
28
Let t(y) = y**3 - 8*y**2 + 11*y - 15. Let m be t(8). Find the first derivative of m*r**2 - 3 - 79*r**2 - 4 wrt r.
-12*r
Let v be 2/12 + 87/18. Differentiate -3*h**2 + 29 - 13 - v*h**2 wrt h.
-16*h
Let n(u) = 19*u**4 + 4*u**3 + u**2 + 182. Let d(o) = -39*o**4 - 7*o**3 - 3*o**2 - 361. Let p(w) = -4*d(w) - 7*n(w). Differentiate p(c) with respect to c.
92*c**3 + 10*c
Let t = 2 + 6. Suppose 3*a - 46 = t. What is the derivative of 6 - 2 + 1 + a*y**2 - 9*y**2 wrt y?
18*y
Let p(m) be the first derivative of -5*m**2/2 + 94*m + 7. Differentiate p(s) wrt s.
-5
Differentiate -285*g**2 - 56*g**2 + 180*g - 365*g**2 - 423 - 180*g wrt g.
-1412*g
Let u(n) be the second derivative of -458*n**6/15 - 43*n**3/2 + n**2 - 2*n - 199. Find the second derivative of u(i) wrt i.
-10992*i**2
Find the third derivative of 18*a**4 - 2 + a**2 - 17 + 5 + 1 - 3 wrt a.
432*a
Let c(p) = 2*p + 9. Let s be c(-4). Suppose 0 = v - 4 - 0. What is the derivative of 0 + 0 - 3*b**v - 2*b**4 - s wrt b?
-20*b**3
Let v(w) be the third derivative of -w**8/336 + 86*w**7/105 - 103*w**5/60 - w**4/12 + 24*w**2 + 4. What is the third derivative of v(a) wrt a?
-60*a**2 + 4128*a
Suppose 15*c = 2 - 2. Let q(n) be the second derivative of -2/5*n**5 + 0*n**2 + 8*n + c*n**4 + 5/3*n**3 + 0. What is the second derivative of q(i) wrt i?
-48*i
Let a(x) be the first deriv