1
Let i(m) = 6 - m + 11*m + 2*m + 2. Let r(g) = -1. Let z = -1328 + 1327. Let p(c) = z*i(c) - 24*r(c). Differentiate p(x) with respect to x.
-12
Suppose 0*s + 29*s = 116. Differentiate -269 + 3*j**s + 2*j**4 + 347 with respect to j.
20*j**3
Let c be 2 + -25 + (0 - 1). Let y = c + 33. What is the second derivative of 0*w**3 + y*w - 6*w - 8*w**3 - 9*w wrt w?
-48*w
Find the third derivative of 279*k**2 + 139*k**3 - 186*k**3 + 37*k**3 + 310*k**3 + 4*k wrt k.
1800
Let a(y) = y**3 - 2*y**2 + 2*y + 25. Let o be a(0). What is the third derivative of -2 - 66*k**2 - 50*k**3 - o*k**2 + 17*k**6 + 46*k**3 wrt k?
2040*k**3 - 24
Find the second derivative of -27*v + 59*v**3 - 130*v - 451*v + 14*v**4 + 39*v wrt v.
168*v**2 + 354*v
What is the second derivative of 11*i**4 - 1223*i + 45*i**3 + 768*i**2 - 768*i**2 - 22*i**5 - 45*i**3 wrt i?
-440*i**3 + 132*i**2
Let z(b) be the second derivative of 0 + 36*b**2 - 3/5*b**6 + 0*b**4 + 0*b**3 + 0*b**5 - 72*b. Differentiate z(i) wrt i.
-72*i**3
What is the first derivative of 738*i + 3501 + 8*i + 414*i + 1003*i wrt i?
2163
Suppose 0*t + 5*t + 5*o - 1010 = 0, 2*t - o = 395. Find the third derivative of -131*z**2 - 1 - t*z**3 - 2 + 4 - 3 wrt z.
-1194
Let d(k) = -29*k**2 - 4*k - 161. Let b(c) = -44*c**2 - 7*c - 242. Let f = -280 + 285. Let y(z) = f*b(z) - 8*d(z). Find the first derivative of y(v) wrt v.
24*v - 3
Suppose 2*s - 5 - 1 = -2*i, -i = -3*s + 5. What is the second derivative of -5*w**4 + 19*w**2 - w**4 - 11*w - 24*w**2 + 7*w**s wrt w?
-72*w**2 + 4
Let k(v) be the first derivative of -v**6/3 - 28*v**5/5 - 53*v**4/4 + 6905*v**2/2 + 4952. What is the second derivative of k(x) wrt x?
-40*x**3 - 336*x**2 - 318*x
What is the third derivative of -6 + 9*v + 192*v**2 - 1655*v**4 + 3 - 533*v**4 + 317*v**4 + 4 wrt v?
-44904*v
Let i(b) be the third derivative of -1663*b**6/120 - b**5/60 - 1951*b**4/24 - b**2 - 93*b - 9. What is the third derivative of i(g) wrt g?
-9978
Suppose -8*b - 67 = -91. Differentiate d - 56 - 2*d + 10 + 6*d**3 - 27*d**b wrt d.
-63*d**2 - 1
Let q(k) = k**2 - k - 1. Let b(o) be the first derivative of 17*o**3 + o**2 - 2*o + 12. Let x(d) = -b(d) - 2*q(d). Differentiate x(t) with respect to t.
-106*t
Let l = 168 - 164. What is the derivative of 33 + 24*x**4 + 7*x**4 + 18*x**l - 11 wrt x?
196*x**3
Let f(a) = -233*a**3 - 1741*a**2 - 12*a. Let h(p) = 234*p**3 + 1743*p**2 + 15*p. Let l(z) = -5*f(z) - 4*h(z). What is the third derivative of l(u) wrt u?
1374
Find the third derivative of 25*i**5 + 131*i**5 + 63*i + 4*i**2 - 13*i - i**3 - 12*i**4 + 24*i**5 wrt i.
10800*i**2 - 288*i - 6
Let y(x) = 4*x + 15. Let r be y(-3). Let d be 13 + r + (-1 + -1 - 1). Differentiate -6*h**2 - 7 + 10*h**3 - 7*h**2 + d*h**2 wrt h.
30*h**2
Suppose 0 = 5*b - 2*s - 14, b + 3*s + 2 + 2 = 0. What is the second derivative of -106*n + 59*n**b + 24*n + 49*n wrt n?
118
Let s be (-2)/((-3)/(6/1)) - -60. Differentiate -45*r**3 - 19*r**3 + 19 + s wrt r.
-192*r**2
Let w(m) = -m**3 - 5*m**2 - 3*m - 2. Let t be w(-4). Let b be t/16 - 490/(-112). Find the third derivative of -2*o**4 + 3*o**2 - 2*o**4 + b*o**2 + 2*o**2 wrt o.
-96*o
Let o(a) = 119*a + 191. Suppose 0 = -19*n + 63*n + 264. Let j(m) = -118*m - 192. Let q(y) = n*o(y) - 5*j(y). Differentiate q(t) wrt t.
-124
Let g(x) = x**2 + 13*x + 32. Let f be g(-3). Find the third derivative of 29*m**f + 3 + 30*m**2 + 26*m**6 - 61*m**2 + 33 wrt m.
3120*m**3
Let d be (8 - 1)*4/14. Suppose -f = -4*n - 19, -d*n - 22 = -2*f - 8. What is the third derivative of 4*i**f + 8*i**2 - 29*i**3 + 3*i**2 - 3*i**2 wrt i?
-150
Let z(c) be the second derivative of -1/2*c**5 + 0*c**4 + 0 + 1/7*c**7 + 11/6*c**3 + 0*c**6 - 3*c**2 - 110*c. What is the second derivative of z(n) wrt n?
120*n**3 - 60*n
Let h(q) be the first derivative of q**3/3 + 9*q**2/2 + 8*q - 12. Let o be h(12). What is the first derivative of -1 + 4 + o*v**3 - 276*v**3 wrt v?
-48*v**2
Let v(a) be the third derivative of 971*a**8/336 + 172*a**5/15 + 12*a**2 - 14. What is the third derivative of v(f) wrt f?
58260*f**2
Let c(g) be the third derivative of -g**9/252 + g**8/336 + 229*g**6/60 - g**5/15 + 617*g**3/6 + 13809*g**2. Find the third derivative of c(x) wrt x.
-240*x**3 + 60*x**2 + 2748
Let g be 130/14 + 2/(-7). Let a(m) = m**3 + 3*m**2 - 52*m + 2. Let c be a(6). Differentiate s**3 + 8 - g - c*s**3 with respect to s.
-39*s**2
Let r = 66 - 63. Differentiate 40 - 3*a - 2*a + a**3 - 10*a**3 + 8*a**r with respect to a.
-3*a**2 - 5
Let b(k) be the first derivative of -111 + 227*k - 93/2*k**2. What is the first derivative of b(d) wrt d?
-93
Let t(q) = 310*q**3 - q**2 - 2*q + 5882. Let w(n) = 312*n**3 - n**2 - 3*n + 5887. Let u(h) = 3*t(h) - 2*w(h). Differentiate u(r) with respect to r.
918*r**2 - 2*r
Find the first derivative of -49453*w + 474 + 686 - 405 + 50046*w wrt w.
593
Let u(q) = -q**3 - q - 1. Let l be u(-2). Suppose -3*x = -l*x + 30. Find the second derivative of -5*m**2 + 2*m**2 - 4*m + x*m + 8*m wrt m.
-6
Suppose 3*a + 12 = 45. Suppose 0 = a*o - 9*o - 6. Differentiate 6 - 25*c - o - 16 - 12 wrt c.
-25
Let r = 374 - 374. What is the third derivative of r*x**4 + 32*x**2 - 236*x**2 + 1025*x**6 - 977*x**6 + x**4 + 0*x**4 wrt x?
5760*x**3 + 24*x
Let p(g) be the third derivative of 0 + 0*g**4 + 0*g**3 + 4/35*g**7 + 1/60*g**6 + 1/6*g**5 - 176*g**2 + 0*g. Find the third derivative of p(f) wrt f.
576*f + 12
Let a(b) = b**2 + 1. Let l = 75 - 73. Let x be a(l). Find the third derivative of 13*m**2 - 7*m**x + 7*m**5 + 7*m**5 + m**5 wrt m.
480*m**2
Suppose 2*m + 32 = 10*m. What is the third derivative of 3*i**3 - 3*i**4 - 6*i**2 + 6*i**3 - m*i - 6*i**3 - i**3 wrt i?
-72*i + 12
Suppose -50*x - 240 = -56*x. Find the first derivative of 94 + 38 - 132*h**3 - x - 2 wrt h.
-396*h**2
Let f(l) = 2027*l**4 + l**2 + 22*l - 2. Let z(s) = 2*s**2 + 5*s + 1. Let a(g) = 2*f(g) + 2*z(g). What is the third derivative of a(y) wrt y?
97296*y
Let t(c) be the second derivative of -1/30*c**6 - 34*c + 0*c**3 + 41/20*c**5 + 2 + 0*c**2 - 15/4*c**4. Find the third derivative of t(p) wrt p.
-24*p + 246
Suppose 5 = 5*m, -19 = -2*t + 4*m - 57. Let y = -15 - t. What is the third derivative of 13*o**4 - 5*o**2 - o**y + 2*o**2 + 6*o**2 wrt o?
312*o
Let n be 12/54 - (16/(-9) + -2). Suppose -4*a - n*f - 4 = 0, -f + 4*f = a - 19. Find the second derivative of -22*l**a - 31*l**2 - 8*l + 31*l**2 wrt l.
-264*l**2
Suppose -12 = -4*o + 28. What is the third derivative of -12*l**5 + 9*l**2 + 13 - o*l**4 - 15 + 11*l**5 wrt l?
-60*l**2 - 240*l
Let c(l) be the third derivative of 0*l + 52/3*l**3 - 40*l**2 + 0 + 1/4*l**4. Differentiate c(s) wrt s.
6
Suppose 2*f - 6 = f - 2*z, 4*f + 5*z = 33. Differentiate -23*w**2 - 19 + f*w**2 + 65 - 12*w + 16*w**2 + 14 with respect to w.
10*w - 12
Find the second derivative of -173*n + 960*n**4 - 2045*n**4 - 1693*n**4 - 952*n**4 wrt n.
-44760*n**2
Let p be (-3)/(15 + -8 - 8). Find the second derivative of -53*n + 31*n**3 - 61*n + p - 4*n**2 + 123*n wrt n.
186*n - 8
Let d(g) = -81*g - 3850. Let s(b) = -10*b + 2. Let p(k) = d(k) - 5*s(k). Differentiate p(z) with respect to z.
-31
Let v(i) = 28*i + 6. Let r be v(5). Suppose -8 + r = 3*l. What is the second derivative of -34*k + 18*k + l*k - 24*k**2 wrt k?
-48
Find the third derivative of -132416*h**3 + 0 + 0 + 370*h**2 + 131461*h**3 wrt h.
-5730
Let o be 0*(8/(-36))/(280/(-315)). Let f(q) be the first derivative of o*q + 5*q**2 + 23 - 28/3*q**3. What is the second derivative of f(y) wrt y?
-56
Let i(x) = -16*x**2 + 16*x + 4366. Let o(c) = 3*c**3 + c**2 - 6*c + 1. Let k(y) = -i(y) - o(y). Find the first derivative of k(q) wrt q.
-9*q**2 + 30*q - 10
Find the third derivative of 76 - 2476*n**4 - 72 + n**2 + n**2 - 1146*n**4 - 226*n wrt n.
-86928*n
Let c = 275 - 246. What is the second derivative of 2 - 14*l**3 - l + 27*l**5 - l - c*l**5 + l wrt l?
-40*l**3 - 84*l
What is the derivative of 2269 - 594*q**2 - 1207*q**2 - 843*q**2 + 421*q**2 wrt q?
-4446*q
Let f(n) = -1568*n**3 - 18*n**2 + 3*n - 68. Let t(u) = 1570*u**3 + 25*u**2 - 4*u + 67. Let s(b) = -4*f(b) - 3*t(b). What is the third derivative of s(j) wrt j?
9372
Let v(h) be the third derivative of 0*h**3 + 8*h**2 - 1 + 0*h**6 + 13/70*h**7 - 11/20*h**5 + 0*h - 1/24*h**4. What is the third derivative of v(t) wrt t?
936*t
What is the first derivative of -3249*x - 424