25080*v**3
Let n(p) be the second derivative of 157*p - 17/30*p**6 + 0 + 0*p**4 - 11/2*p**2 - 1/20*p**5 + 0*p**3. What is the derivative of n(c) wrt c?
-68*c**3 - 3*c**2
Let x(w) = w + 17. Let t be x(32). Find the second derivative of 609*m - t*m**5 - 300*m - 2*m**2 - 307*m + 3 wrt m.
-980*m**3 - 4
Let s be 117/52 + ((-6)/8)/(-1). What is the derivative of 15227*b**3 + 3 + 6 - 15211*b**s wrt b?
48*b**2
Suppose 0 = -4*l + 16, -12 = 3*f - 3*l - 0*l. Let m = 145 + -145. Differentiate -46 + f*i + m*i + 44 + 7*i**3 wrt i.
21*i**2
Let m(k) be the second derivative of 1/6*k**4 - k + 121 - 19/6*k**3 - 61*k**2. What is the derivative of m(u) wrt u?
4*u - 19
Let n(w) be the third derivative of 37*w**6/40 - w**5/30 + w**4/6 + 83*w**3/6 + 446*w**2. What is the second derivative of n(i) wrt i?
666*i - 4
Suppose -n - 2*n - 5*b + 10 = 0, -4*b - 16 = 0. Let k be (-2)/1*(-45)/n. What is the derivative of 11*o + 17*o**2 - 16 - 20*o + k*o wrt o?
34*o
Let p(a) be the third derivative of 62*a**9/63 + a**7/105 + 2369*a**5/60 - a**2 - 209*a. Find the third derivative of p(r) wrt r.
59520*r**3 + 48*r
Suppose -u + 1 = 0, 3*w + 3*u = -13 + 52. Suppose 4*n - w = 5*p, -p + 7 = 3*n - 2. Find the third derivative of 36*d**n + 43*d**3 - 29*d**2 - 75*d**3 wrt d.
24
Let l(i) = -23*i - 4. Let q be l(-5). Let m = q + 272. What is the second derivative of 3*j**5 - m*j**3 + 383*j**3 + 2*j + 14*j**5 wrt j?
340*j**3
Let x(k) be the third derivative of -k**9/72 + k**8/336 - 31*k**6/120 - 233*k**5/60 + k**2 + 1211. Find the third derivative of x(y) wrt y.
-840*y**3 + 60*y**2 - 186
Differentiate 1226 - 464*n - 151*n - 782*n + 62 with respect to n.
-1397
Differentiate -528 - 75*a**4 + 152 + 2414 + 273*a**4 + 661 with respect to a.
792*a**3
Let s(y) be the second derivative of -25/2*y**2 + 39*y + 3/2*y**4 - 2 + 1/2*y**3. What is the first derivative of s(r) wrt r?
36*r + 3
Let s(a) = 24*a**3 + 170 - 24858*a + 24851*a + 12. Let i(n) = -12*n**3 + 4*n - 90. Let u(f) = -5*i(f) - 3*s(f). What is the derivative of u(v) wrt v?
-36*v**2 + 1
Let v = 93 + -35. Let w = -46 + v. What is the third derivative of -l**5 + w*l**2 - 27*l**2 - 7*l**5 wrt l?
-480*l**2
Let s = 2244 - 2242. Let z(w) be the second derivative of -5*w + 4*w**s - 5/6*w**4 + 0*w**3 + 0. What is the first derivative of z(t) wrt t?
-20*t
Let k(x) be the third derivative of -1343*x**4/24 + 1132*x**3/3 - 2*x**2 - 116. Differentiate k(o) wrt o.
-1343
Let g(d) be the first derivative of 0*d**3 + 115 + 1/2*d**2 + 74*d + 0*d**4 - 2*d**5. What is the first derivative of g(t) wrt t?
-40*t**3 + 1
Let n(a) = -14*a + 30. Let v be n(2). What is the second derivative of 12*c - 89*c - 3*c**3 - c**v + 38*c wrt c?
-18*c - 2
What is the third derivative of x - 6207*x**6 - 54538*x**3 + 54538*x**3 - 82 - 10*x**2 wrt x?
-744840*x**3
Find the first derivative of -t**2 - 270*t - 20*t**2 - 256*t + 647 - 57*t**2 + 533*t wrt t.
-156*t + 7
Suppose 12*o - 86 - 22 = 0. Suppose o*p - 23 = -5. Differentiate -4*k**3 + 18*k**3 + 41 + 15*k**3 - p*k**3 with respect to k.
81*k**2
Let k = -55 + 98. Find the second derivative of -2 - k*l - 2 + 46*l + 67*l**2 + 5 wrt l.
134
Let v be 21*(257/28 - (-9)/36). Differentiate -38*y - 5*y - v + 88*y with respect to y.
45
Let r(q) = -q + 14. Let k be r(12). What is the third derivative of -20*l**4 + 2*l**3 - 21*l**4 - 19487*l**k + 19557*l**2 wrt l?
-984*l + 12
Let y(a) be the first derivative of 379*a**6/6 + 4*a**5/5 - 2377*a**3/3 - 1401. Find the third derivative of y(d) wrt d.
22740*d**2 + 96*d
What is the third derivative of -528*h**2 - 282*h + 6115*h**4 - 526*h**2 - 525*h**2 - 518*h**2 + 2106*h**2 wrt h?
146760*h
Let b(i) be the third derivative of 1/105*i**7 - i**2 + 0*i**5 - 67/24*i**4 - 23/2*i**3 + 0 + 96*i + 0*i**6. What is the derivative of b(a) wrt a?
8*a**3 - 67
Let g(s) be the first derivative of -94*s**5 - 107 + 96*s**5 - 11*s + 0*s. Differentiate g(l) wrt l.
40*l**3
Let f(l) be the third derivative of -97*l**8/84 - 343*l**5/10 + 5*l**2 - 25*l. What is the third derivative of f(p) wrt p?
-23280*p**2
Differentiate 23930655 + 545*x - 23930768 + 3929*x wrt x.
4474
Let z(t) be the first derivative of 0*t**3 - 14/5*t**5 + 0*t**4 - 40*t**2 + 0*t + 30. What is the second derivative of z(r) wrt r?
-168*r**2
Find the second derivative of 19*w - w**3 + 2 - 9484600*w**2 + 9477670*w**2 - 27 wrt w.
-6*w - 13860
Let h(n) be the third derivative of -1/12*n**5 - 113*n**2 - 10/3*n**3 + 0*n + 0 - 11/120*n**6 + 0*n**4. Find the first derivative of h(r) wrt r.
-33*r**2 - 10*r
Suppose a + 17 - 12 = 0, -4*a - 40 = -2*r. What is the third derivative of 25*s**2 + 99*s**3 + 4*s**2 + r*s**2 + 10*s**2 wrt s?
594
Let y(c) = -1349*c + 1361. Let s(d) = 2024*d - 2039. Let w(b) = -5*s(b) - 7*y(b). Find the first derivative of w(r) wrt r.
-677
Let j(i) be the third derivative of 50*i**7/21 + i**5/15 - 33*i**3 + 93*i**2 + 4*i. What is the first derivative of j(a) wrt a?
2000*a**3 + 8*a
Let x = -26/123 + 1367/1230. Let o(y) be the second derivative of -x*y**5 + 9*y + 0*y**2 - 3/4*y**4 + 0*y**3 + 0. What is the third derivative of o(n) wrt n?
-108
Let o be (2 - 2)/(-2 - -1). Let k be 6/(6/7) - o. Differentiate 19*f**2 - k*f**2 + 16 - 9 with respect to f.
24*f
Let j(m) be the first derivative of 7457*m**4/4 - 2058*m**2 + m + 9745. What is the second derivative of j(c) wrt c?
44742*c
Let f(l) = 73*l - 61. Let s(z) = -145*z + 120. Let a(r) = 7*f(r) + 3*s(r). Let g(h) = -2*h + 1. Let p(y) = a(y) + 6*g(y). What is the derivative of p(i) wrt i?
64
What is the third derivative of 329*d**2 - 3311*d**3 + 5 + 3*d + 36*d**4 - 343*d**2 - 34*d**4 wrt d?
48*d - 19866
Let h(l) be the second derivative of -229*l**8/28 + l**4/12 - 71*l**3 + 2*l + 322. What is the third derivative of h(n) wrt n?
-54960*n**3
Suppose -3*i + 5*c = -6, 2*i - 4 = 5*c - 4*c. Find the second derivative of -97*k**3 + 1379*k + k**i - 2*k**2 - 587*k - 589*k wrt k.
-582*k - 2
Let g = 229403/5 - 45880. Let h(s) be the second derivative of -g*s**6 + 0 + 0*s**5 - 16*s**2 - 18*s - 1/12*s**4 + 0*s**3. Differentiate h(v) with respect to v.
-72*v**3 - 2*v
Let b(q) = 3249*q - 428. Let m(a) = 1624*a - 212. Let z(f) = 2*b(f) - 5*m(f). What is the first derivative of z(h) wrt h?
-1622
Let c(t) = t**2 + 6*t + 1. Let s be c(-8). Let n be 0 - 59/(-19) - (-10)/(-95). Differentiate 24 - 3*o**n + s*o**3 + 6*o**3 with respect to o.
60*o**2
Let u(y) be the second derivative of 68*y**6 - y**4/12 - 2106*y**2 - 52*y + 22. What is the derivative of u(d) wrt d?
8160*d**3 - 2*d
Let v(b) be the second derivative of 1469*b**4/6 + 6073*b**2/2 + 334*b - 18. What is the derivative of v(r) wrt r?
5876*r
Suppose -106*i = 99*i - 182*i. Let v(d) be the first derivative of -15 + i*d**3 + 17/2*d**2 + 0*d**4 + 0*d - 4/5*d**5. Find the second derivative of v(m) wrt m.
-48*m**2
Let j(v) be the first derivative of 275 + 0*v**2 + 221/4*v**4 + 169*v + 1/5*v**5 + 0*v**3. Differentiate j(m) wrt m.
4*m**3 + 663*m**2
Let x(n) be the second derivative of 75/2*n**2 - 47/6*n**3 + 1 + 28*n. Differentiate x(h) wrt h.
-47
Let t(y) be the second derivative of -18*y**2 + 1/15*y**6 + 0*y**4 + 0*y**5 + 1 - 9*y**3 - 12*y. Differentiate t(u) wrt u.
8*u**3 - 54
Let l = -44 + 43. Let q(n) = -45*n**3 - 18*n**2 - n + 1. Let m(h) = -h**3 + h**2 - h. Let w(x) = l*m(x) + q(x). What is the third derivative of w(g) wrt g?
-264
Let v(w) be the first derivative of 3045*w**4/2 - 9500*w**3/3 - 1202. Find the third derivative of v(r) wrt r.
36540
Suppose 75*m - 76*m = -20. What is the third derivative of -2 - 5*y**3 + 22*y**3 - y**2 + m*y**3 - 6*y**2 wrt y?
222
Let n(u) = -u + 18. Let l be n(12). Suppose 9*c = 8*c + l. What is the derivative of -h**4 - c + 3*h**4 + 1 wrt h?
8*h**3
Let q(p) = 82*p**3 - 33*p**2 - 4*p + 4. Let z(d) = 2*d**3 - d + 1. Suppose -r - 16 = -15. Let v(x) = r*q(x) + 4*z(x). Find the third derivative of v(i) wrt i.
-444
Let c be ((-50)/5)/(8/(-40)). What is the third derivative of 106 + 37*p**2 + c*p**3 - 40*p**2 - 115 wrt p?
300
Let k(a) = 5*a**2 - 5*a + 12 - 13*a - 3*a**2 - a. Let x be k(9). Find the first derivative of -66*b**3 - x + 49*b**3 - 20 wrt b.
-51*b**2
Suppose -317*w = -627*w + 296*w. Let g(i) be the second derivative of -12*i + w + 0*i**3 + 12*i**2 - 7/3*i**4. What is the derivative of g(j) wrt j?
-56*j
Let w(v) = -4325*v**3 