i**2
Let z = 355 - 313. Find the second derivative of 218*q**2 + 35*q - z*q**2 - 134*q wrt q.
352
Let w(q) be the first derivative of -758*q**2 + 377*q + 416. What is the derivative of w(z) wrt z?
-1516
Suppose 13*g = 12*g + 18065. What is the third derivative of 0*n**2 + 92*n**5 + g - 18103 - n**2 wrt n?
5520*n**2
Let k(p) be the third derivative of 14*p**6/5 - p**5/15 + 2348*p**3/3 - p**2 - 49*p + 6. Differentiate k(r) wrt r.
1008*r**2 - 8*r
Let j(f) be the first derivative of 3146*f**5/5 - 6211*f**3/3 - 12382. Find the third derivative of j(o) wrt o.
75504*o
Let c(l) be the first derivative of l**5/5 - l**4/4 + 4*l**3/3 - 5099*l**2/2 - 9658. What is the second derivative of c(p) wrt p?
12*p**2 - 6*p + 8
Let h(c) be the second derivative of -87*c**5/2 + 23*c**4/12 - 4*c**2 + 4*c + 16. Find the third derivative of h(w) wrt w.
-5220
Let r(j) be the first derivative of -41 - 118*j + 225/2*j**2. Find the first derivative of r(o) wrt o.
225
Suppose -5*s - f = -9*s + 81, -f + 90 = 5*s. What is the second derivative of 2*h**3 - s*h + 10*h - 64*h**5 - 9*h wrt h?
-1280*h**3 + 12*h
What is the third derivative of -18*k**3 - 20 + 18*k**3 + 202*k**6 - k**4 + 19*k**2 - 195*k**6 wrt k?
840*k**3 - 24*k
Let t(k) be the first derivative of k**6/2 + 18*k**5 - 315*k**2/2 + 1270. Find the second derivative of t(w) wrt w.
60*w**3 + 1080*w**2
Let b(j) be the third derivative of 0*j + 46*j**2 + 0 + 0*j**3 + 0*j**7 + 0*j**6 + 1/12*j**5 + 0*j**4 - 13/336*j**8. Find the third derivative of b(t) wrt t.
-780*t**2
Find the first derivative of -4*d + 2*d**3 + 898 - 16543*d**2 + 17758*d**2 + 2433 + 4*d wrt d.
6*d**2 + 2430*d
Suppose 0 = -2*w + w + 4, -4*i - 5*w + 68 = 0. What is the first derivative of -i + 17*q - 246 - 53 wrt q?
17
Let y(a) be the first derivative of -4 + 76/5*a**5 + 0*a**2 + 0*a + 0*a**4 + 52/3*a**3. Find the third derivative of y(p) wrt p.
1824*p
Let i(b) be the third derivative of 233*b**5/60 + b**4/2 + 1006*b**2. What is the second derivative of i(s) wrt s?
466
Let c(v) be the second derivative of -6131*v**5/20 - 3*v**4/4 - 29*v**3/6 - 40*v. What is the third derivative of c(s) wrt s?
-36786
Let w(h) be the third derivative of 4*h**7/21 - h**6/30 - 121*h**5/20 - 4*h**2 - 100. Find the third derivative of w(r) wrt r.
960*r - 24
Let n(a) be the second derivative of 499*a**4/12 - 817*a**3 - 848*a. What is the second derivative of n(s) wrt s?
998
Let h = 88 - 70. Let k(r) = r - 13. Let f be k(h). What is the second derivative of 3392 + 13*p - 3392 - 29*p**f wrt p?
-580*p**3
Let u(f) = 2*f - 21. Let o be u(22). What is the derivative of -66*n**3 - o + 20 - 12 wrt n?
-198*n**2
Let q(x) be the first derivative of 1169*x**5/5 - 411*x**3 - 613. Find the third derivative of q(p) wrt p.
28056*p
Let f = -92 - -96. Suppose -23 = -k - 4*l, -f*k + 4 = -2*l + 2. Find the first derivative of 13*d**3 + 11*d**3 + 3*d**k + 7 + 27 wrt d.
81*d**2
Suppose 0 = -4*g + 4*d + 116, 2*d - 82 = -4*g + 52. Suppose 2*n = -6, -5*b - 11 = -2*n - g. Find the first derivative of -144*a + 11 - 6*a**b + 144*a wrt a.
-18*a**2
Let k be (-28)/(-12) + (-30)/54*-3. What is the first derivative of 6*y**k + 160 + 93*y**4 - 16*y**4 wrt y?
332*y**3
Let n(o) be the first derivative of 20/3*o**6 + 0*o**5 + 31*o**2 - 32 + 0*o**4 + 0*o**3 + 0*o. Find the second derivative of n(c) wrt c.
800*c**3
Let l(k) = -4*k**3 - 8736*k**2 + 117*k + 8. Let n(g) = 6*g**3 + 13103*g**2 - 176*g - 10. Let i(c) = -7*l(c) - 5*n(c). Find the second derivative of i(f) wrt f.
-12*f - 8726
Let x(w) = 1543*w + 1364. Let i(q) = 3088*q + 2732. Let d(c) = -6*i(c) + 14*x(c). Differentiate d(s) with respect to s.
3074
Let t(g) be the third derivative of -113*g**8/56 + 27*g**4/4 + g**3/6 + g**2 + 77. What is the second derivative of t(s) wrt s?
-13560*s**3
Suppose 27 = l + 2*l - 2*r, -5*l + 3*r + 44 = 0. Suppose 0 = l*g + 24 - 59. Find the second derivative of -5*t**g + 28*t + 20*t - 34*t - 8*t**5 wrt t.
-260*t**3
Let u(p) be the third derivative of 0*p + 0*p**4 - p**2 + 1/60*p**5 + 1/24*p**8 + 0*p**6 + 0*p**7 + 0 + 13/6*p**3. Find the third derivative of u(q) wrt q.
840*q**2
Let a(t) = -36*t**4 + 12*t**3 - 2*t**2 - 1694. Let k(c) = -72*c**4 + 24*c**3 - 5*c**2 - 3388. Let j(z) = 5*a(z) - 2*k(z). What is the derivative of j(x) wrt x?
-144*x**3 + 36*x**2
Suppose -o - 3348 = 4*o - 3*f, 0 = -3*o - f - 2006. Let u be o/(-12) + 5/20. Differentiate 54 + 56 + u - 154 + i wrt i.
1
Let h = 10118 + -10115. Let q(z) be the second derivative of 0 - 17/6*z**4 + 0*z**h - 7*z + 37/2*z**2. Find the first derivative of q(g) wrt g.
-68*g
Let z(r) be the second derivative of -r**6/15 - 91*r**5/20 + 611*r**4/6 + 1258*r. Find the third derivative of z(u) wrt u.
-48*u - 546
Let s(w) = 2*w**2 - 7 - 33*w**3 - 112*w - 25*w**3 + 19*w**3 + 20*w + 3. Let f(c) = -c - 1. Let g(v) = 4*f(v) - s(v). Find the second derivative of g(t) wrt t.
234*t - 4
Let x(j) be the second derivative of -7/3*j**3 + 4*j - 10 - 5/12*j**4 - 2*j**2 - 7/20*j**5. What is the second derivative of x(c) wrt c?
-42*c - 10
Let b(m) be the second derivative of 137*m**2 + 0 - 280*m + 241/6*m**3. Find the first derivative of b(j) wrt j.
241
Suppose 0 = -253*r + 88*r + 495. Let d(t) be the first derivative of 0*t**r + 7/2*t**4 + 0*t**2 - 25 + 21*t. Find the first derivative of d(n) wrt n.
42*n**2
Suppose -4*d + 229 - 944 = -5*a, -4*a - 5*d = -613. Differentiate a*m**4 + 293 - 26 - 124 wrt m.
588*m**3
Let b be ((-3)/2)/(6/(-8)). Let y be 4/4*(1959 - (4 - 3)). Find the first derivative of -8*o**b + 20 - 1958*o + y*o wrt o.
-16*o
Let u(t) = 20926*t**2 + 48520*t + 18. Let z(l) = -5979*l**2 - 13864*l - 5. Let a(m) = -5*u(m) - 18*z(m). What is the second derivative of a(w) wrt w?
5984
Let x be (-301)/(-21) - (-2)/(-6). Suppose 6*w - x = 4. Find the third derivative of -w*t**3 - 9*t**2 - t**3 - 6*t**3 wrt t.
-60
Let y(t) be the second derivative of 4360*t**7/21 + 802*t**3/3 + 27*t - 15. Find the second derivative of y(f) wrt f.
174400*f**3
Let i(v) be the first derivative of -2265*v**2 - 1087*v - 3763. Find the first derivative of i(q) wrt q.
-4530
Suppose -5*j = 5, -j + 11 = 5*g - 2*j. Suppose -8*t - 7 = -9*t. Find the second derivative of t*r**g + 2*r - 17*r**2 + 10*r**2 + 8*r**5 wrt r.
160*r**3
Suppose 7*r - 28*r - 42 = 0. Let m(c) = 317*c**2 + 250. Let y(p) = -63*p**2 - 50. Let d(n) = r*m(n) - 11*y(n). What is the first derivative of d(t) wrt t?
118*t
Let o(g) = 23*g + 62. Suppose 2*f + 386 = 382. Let y(q) = 23*q + 66. Let a(w) = f*y(w) + 3*o(w). Differentiate a(l) wrt l.
23
Let c(q) = -79*q**4 + 4*q**3 + 10 - 17 + 140. Let k(d) = 159*d**4 - 7*d**3 - 268. Let t(u) = 7*c(u) + 4*k(u). What is the derivative of t(i) wrt i?
332*i**3
Let g(y) = 3649*y**3 - 36*y**2 - 34. Let s(a) = 7298*a**3 - 71*a**2 - 64. Let m(k) = -7*g(k) + 4*s(k). Find the third derivative of m(x) wrt x.
21894
Let f(v) be the second derivative of -1643*v**4/6 + 1769*v**3/6 - 2991*v. What is the second derivative of f(z) wrt z?
-6572
Suppose -2482*p + 12 = -2478*p. Let k(v) be the first derivative of 0*v**2 - 10*v + 12 + 0*v**p + 3/5*v**5 + 0*v**4. Differentiate k(h) wrt h.
12*h**3
Find the first derivative of 73767*j**3 + 2456*j**4 + 73773*j**3 - 1645 - 147540*j**3 wrt j.
9824*j**3
Let r(c) = 226*c + 1111. Let v(q) = -458*q - 2222. Let y(p) = 11*r(p) + 6*v(p). Differentiate y(g) wrt g.
-262
Let w(x) = -109*x**2 - 321. Suppose 2*p - 88*o + 93*o - 31 = 0, -2*o + 10 = 0. Let u(c) = -54*c**2 - 161. Let l(q) = p*w(q) - 5*u(q). Differentiate l(f) wrt f.
-114*f
Let w(a) = 2*a**4 - 186*a**3 + 6*a**2 + 6975. Let c(d) = -2*d**4 + 370*d**3 - 15*d**2 - d - 13948. Let t(m) = -2*c(m) - 5*w(m). Differentiate t(z) wrt z.
-24*z**3 + 570*z**2 + 2
Find the second derivative of -2444*j**3 - 442*j + 239*j - 477*j + 164*j + 1 - 363*j wrt j.
-14664*j
Let l(j) = 1058*j - 11887. Let z(i) = 531*i - 5932. Let s(k) = 2*l(k) - 5*z(k). What is the first derivative of s(b) wrt b?
-539
Suppose -77*l + 75*l = -120. Find the second derivative of -37*h - 37*h - l*h**2 - 25*h wrt h.
-120
Find the first derivative of 24849*y**2 - 12710*y**2 + 763 - 7770*y**2 wrt y.
8738*y
Let o(h) = -8443*h**2 + 31*h - 319. Let q(d) = 25226*d**2 - 91*d + 957. Let k(f) = 17*o(f) + 6*q(f). Find the second derivative of k(i) wrt i.
15650
Let s(n) be the third derivative of n**5/10 - 4