 derivative of 4*i**2 + t*i**4 + 24*i**6 - 14*i**4 - 22*i**2 wrt i?
2880*i**3
What is the first derivative of 496 - 573 - 382 - 447 + 85*v**3 wrt v?
255*v**2
Find the first derivative of 0*s - 486*s - 358*s + 195*s - 531*s - 118 wrt s.
-1180
Let d(s) be the second derivative of -96*s**3 - 301*s**2 + 34*s. Find the first derivative of d(q) wrt q.
-576
What is the third derivative of y**3 + 555*y**4 + 502*y**2 + 213*y**2 + 3*y**3 - 40*y**6 - 553*y**4 wrt y?
-4800*y**3 + 48*y + 24
Let i(o) = -1691*o**3 - 14*o - 2005. Let r(h) = 8454*h**3 + 72*h + 10026. Let a(z) = -36*i(z) - 7*r(z). Differentiate a(k) with respect to k.
5094*k**2
Find the second derivative of 1916*s + 3509*s + 67557*s**2 - 67557*s**2 + 787*s**3 wrt s.
4722*s
Let o(h) = 2538*h**3 - 3*h**2 - 314*h. Let v(p) = -p**3 + p**2 - 1. Let d(i) = -o(i) - 3*v(i). What is the second derivative of d(q) wrt q?
-15210*q
Let k = -508 + 510. What is the third derivative of 25*j**5 + 9*j - 7*j**2 + 19*j**2 + 39*j - 13*j**k wrt j?
1500*j**2
Let s(f) = -38*f - 25. Let g be s(-2). Find the first derivative of g*n**4 + 2*n**4 + 95 - 37 wrt n.
212*n**3
Let k = 12 + -9. Let d be k + -11 + 4 - -11. Find the second derivative of 14*b - d*b + 8*b + 4*b**2 wrt b.
8
Let t(h) be the second derivative of 5*h**7/21 + 5*h**6/2 + h**4/3 - 3*h**3/2 - 798*h. Find the third derivative of t(r) wrt r.
600*r**2 + 1800*r
Let u(b) be the third derivative of -263*b**8/168 - b**7/210 - 1159*b**4/24 + 7*b**2 + 11*b. What is the second derivative of u(h) wrt h?
-10520*h**3 - 12*h**2
Let i(r) be the second derivative of -6 + 1/2*r**4 - 3*r + 0*r**3 + 57/2*r**2. Differentiate i(o) wrt o.
12*o
Let d(n) be the first derivative of -757*n**4/2 - 2957*n**2/2 + 6884. Find the second derivative of d(o) wrt o.
-9084*o
Let b(y) be the third derivative of 1/336*y**8 - y - 1/30*y**5 + 0*y**4 + 0*y**6 + 4*y**2 - 1/6*y**3 + 0 - 1/15*y**7. Find the third derivative of b(q) wrt q.
60*q**2 - 336*q
Let t = -18 + 23. Suppose -2*y - 8*u + 26 = -t*u, 28 = 3*y - u. Find the third derivative of -y*o**2 - 21*o**2 + 5*o**3 + 31*o**3 + 3*o**3 wrt o.
234
Let d(g) be the first derivative of 407*g**4/4 + 2*g**3/3 + g**2/2 + 9708*g + 5873. What is the first derivative of d(c) wrt c?
1221*c**2 + 4*c + 1
Let x(f) = -1501*f**2 - 2479*f - 20. Let q(h) = -1502*h**2 - 2477*h - 24. Let d(w) = -5*q(w) + 6*x(w). Find the second derivative of d(b) wrt b.
-2992
Find the second derivative of 759*q + 241*q**3 + 1343*q + 0 - 155*q**3 + 0 - 12*q**2 wrt q.
516*q - 24
Let z = -24 - -42. Let g(n) be the first derivative of 33 + 5*n - z*n + 5*n**2 + 8*n**2 + 9*n. What is the first derivative of g(l) wrt l?
26
Let y = -58 + 52. Let j(l) = -l**3 - 6*l**2 - l - 2. Let b be j(y). Find the third derivative of -14*t**5 - b*t**2 - 2*t**2 - t**2 + 5*t**2 wrt t.
-840*t**2
Let t be ((-30)/(-9))/(2/3). Suppose 3*p + p - 10 = k, 4*k = -t*p + 23. Find the second derivative of -5*d**3 - 15*d + d - d**p wrt d.
-36*d
Let m = 12 + -10. Suppose -r = -5*v + 18, 0*v + m*r + 8 = 3*v. Find the second derivative of -h**5 - 13*h - 2*h**5 + v*h + 2*h wrt h.
-60*h**3
Suppose 59 = 11*j + 15. Differentiate 16*q**4 - 31 - 5 + 14*q**j - 21 with respect to q.
120*q**3
Suppose -2*j - s = -4*j + 3, 2*s = -3*j + 8. Find the second derivative of 2*z**2 - 62*z - 13*z**j - 85*z**2 - 2*z - 39*z**2 wrt z.
-270
Let p(o) be the second derivative of -o**5/20 - 503*o**3/6 + 617*o**2 - 1663*o. Find the first derivative of p(s) wrt s.
-3*s**2 - 503
Let x(m) be the third derivative of 0*m + 43*m**2 + 0 + 9/20*m**5 + 41/3*m**3 + 0*m**4. What is the derivative of x(n) wrt n?
54*n
Let n(a) = -6*a**2 + 11*a + 4*a**2 - a**2 + 4*a**2 + 22. Let p be n(-10). What is the second derivative of 170*y - 70*y - p*y**3 - 55*y - 61*y wrt y?
-72*y
Let c(b) be the third derivative of -b**6/30 - 15*b**4/8 - 467*b**3/3 - 938*b**2. Differentiate c(r) with respect to r.
-12*r**2 - 45
Let g(n) = 2*n**3 + 444*n**2 - 11*n + 3096. Let v(w) = 2*w**3 + 443*w**2 - 12*w + 3093. Let d(l) = 12*g(l) - 11*v(l). Differentiate d(t) wrt t.
6*t**2 + 910*t
Suppose -142 = -35*q + 72 - 109. Let u(g) be the first derivative of -24 + 5*g + 7/4*g**4 - 1/2*g**2 + g**q. What is the second derivative of u(l) wrt l?
42*l + 6
Let a(p) be the third derivative of 1163*p**5/60 - 19*p**4/8 - 7*p**3/3 - 2439*p**2. What is the second derivative of a(u) wrt u?
2326
Suppose 35*m + 235 = 620. Find the third derivative of -28*b**2 - 10 - m + 25 - 51*b**3 + 27*b**3 - 53*b**3 wrt b.
-462
Suppose 4*v = 70 + 186. What is the second derivative of v*z - 3*z - 27*z**3 - 2*z**2 + 3*z + 61*z wrt z?
-162*z - 4
Suppose -59*i + 60*i = 20. What is the second derivative of 45*a - 2*a**4 + 67608 + a + i*a**2 - 67608 wrt a?
-24*a**2 + 40
Let y(a) = 19*a**4 - 36*a**3 - 75. Let u(s) = 29*s**4 - 54*s**3 - s - 113. Let i(d) = 5*u(d) - 8*y(d). What is the second derivative of i(t) wrt t?
-84*t**2 + 108*t
Let k(v) be the first derivative of 13*v**6/6 - 59*v**4/12 + 27*v - 52. Let c(f) be the first derivative of k(f). Find the third derivative of c(a) wrt a.
1560*a
Let c = -86 - -104. Suppose 22*o = c*o + 16. What is the second derivative of 19*k - o*k**2 + 13*k - 5*k wrt k?
-8
Suppose 13 + 49 = 31*v. What is the third derivative of 36*l**v - 68*l**2 + 33*l**2 + 3*l + 89*l**6 + 12*l wrt l?
10680*l**3
Differentiate 59*f**2 + 330 - 119*f**2 - 88*f + 245 + 58*f**2 with respect to f.
-4*f - 88
Suppose 0 = 20*k + 7*k - 135. Find the second derivative of 3 + 7*m**2 - 15*m**5 + 14*m**5 + 2*m**k - 2*m wrt m.
20*m**3 + 14
Let j(p) be the third derivative of -716*p**7/105 - 103*p**4/12 - p**3/2 + 9*p**2 - 3*p. What is the second derivative of j(b) wrt b?
-17184*b**2
Let o(v) be the third derivative of 0 - 1/105*v**7 + 91*v**2 - 103/24*v**4 + 0*v**3 - 1/2*v**5 + 0*v + 0*v**6. Find the second derivative of o(f) wrt f.
-24*f**2 - 60
Suppose -78 = 2*w - 100. Suppose w*q - 125 = 6*q. Find the second derivative of -15*p**2 + 100*p - 47*p - q*p wrt p.
-30
Let l(v) = 1449*v**3 + 3*v**2 + 283. Let t(f) = -7244*f**3 - 16*f**2 - 1416. Let w(u) = -16*l(u) - 3*t(u). What is the derivative of w(o) wrt o?
-4356*o**2
What is the third derivative of -1687*n**3 + 2602*n**3 - 826*n**2 + 124*n**2 wrt n?
5490
Suppose 3*a - 78 - 875 = -2*b, 5*a = 4*b + 1625. Find the third derivative of 10*z**2 - 3*z**5 + a*z**5 - 48*z**5 - 97*z**5 wrt z.
10380*z**2
Let n(h) be the third derivative of -11*h**8/120 - 7*h**4/3 + 31*h**3/3 + 167*h**2. Let z(x) be the first derivative of n(x). Differentiate z(m) wrt m.
-616*m**3
Suppose -5*a = 4*w - 3*w - 8, -3*w - 27 = -2*a. Let y(v) = v**3 + 6*v**2 - 7*v. Let p be y(w). Differentiate p + 3 - 9 - 15 + f wrt f.
1
Let s(u) = 614*u**3 - 15*u**2 + 28*u + 6. Let p(r) = -1223*r**3 + 31*r**2 - 56*r - 14. Let m(w) = 3*p(w) + 7*s(w). What is the third derivative of m(g) wrt g?
3774
Find the second derivative of 2527*l**2 - 6249*l**3 - 68*l - 2527*l**2 + 591*l + 2 wrt l.
-37494*l
Let a = 91 + -27. Suppose -b + 30 = p, -2*p = -6*b + 4*b - a. Find the first derivative of p + 50*u - 13*u - 11*u wrt u.
26
What is the second derivative of 3 - 54*j**2 - 17*j + 0 + j**4 - 47*j**2 + 34*j - 44*j wrt j?
12*j**2 - 202
Let f(n) = n**2 - 16*n + 4. Let j be ((37 - -1) + 2)*8/20. Let k be f(j). What is the third derivative of 9*s**2 - 19*s**k + 74*s**3 - 74*s**3 wrt s?
-456*s
Let g(t) = -539*t**2 + 117*t. Let b(w) = -535*w**2 + 116*w. Let d(r) = 5*b(r) - 4*g(r). Find the second derivative of d(c) wrt c.
-1038
Let i = -217 - -109. Let v be i/(-30) - 2/(-5). What is the third derivative of -16*t**2 + 11*t**6 + 77*t**v - 77*t**4 wrt t?
1320*t**3
Let t = -14 + 59. Let u be t/10*(-20)/(-6). What is the first derivative of -u*a**4 + 39 + 38 - 79 wrt a?
-60*a**3
Suppose 106*s - 101*s - 2*k + 8 = 0, 0 = s + 6*k - 56. Let c be 40 + (-2 - -1)*-1. What is the third derivative of 19*h**4 + 27*h**s - 91*h**2 + c*h**2 wrt h?
456*h
Let b be 15/(-5) - 1 - 6. Let p(x) = x**2 + 11*x + 24. Let o be p(b). Find the second derivative of 7*u + 3*u + o*u**3 + 8*u wrt u.
84*u
Let p(r) be the third derivative of -1429*r**5/60 + 13*r**4/24 + r**3/2 + 336*r**2. What is the second derivative of p(b) wrt b?
-2858
Let z(p) be the third derivative of 1843*p**8/336 + p**4/24 - 86*p**3/3 - 2*p**2 - 31*p - 1. What is the second derivative of z(t) wrt t?
3