5379. What is the first derivative of d(s) wrt s?
-12*s**2 - 1454
Find the third derivative of 23*y**2 - 447*y**3 - 20 + 27*y**2 - 3*y**2 - 46*y**2 + 25*y**2 wrt y.
-2682
Let r be 15/10 + 28/8 + -4. Let v(u) = 144*u - 23. Let n(c) = c - 3. Let b(x) = r*v(x) + 6*n(x). What is the first derivative of b(p) wrt p?
150
Suppose 0 = 11*q + 554 - 1621. What is the second derivative of 99*o**4 + 24*o - q*o**4 + 43*o**2 - 6*o**2 wrt o?
24*o**2 + 74
Find the first derivative of -8920 - 5*o - 2*o + 7*o - 1555*o**2 + 6540 wrt o.
-3110*o
Let m(h) be the third derivative of -3*h**6/40 - 11*h**5/15 + 271*h**4/4 + 8*h**2 + 39. Find the second derivative of m(r) wrt r.
-54*r - 88
Let x(s) be the second derivative of 1/2*s**3 + 0*s**5 - 5 - 9*s + 7/2*s**2 - 7/15*s**6 + 1/6*s**4. Find the second derivative of x(l) wrt l.
-168*l**2 + 4
Let o = 11 + -9. Suppose -m - r = -29, 3*m + 3*r = -o*r + 89. What is the second derivative of -19*g**4 - m*g**5 + 18*g + 34*g + 29*g**5 wrt g?
20*g**3 - 228*g**2
What is the third derivative of 569*y**2 + 217*y**3 - 775*y**3 + 146*y**2 + 1155*y**2 - 369*y**3 wrt y?
-5562
Let k(l) be the first derivative of 6025*l**4/2 - l**3/3 + 3*l**2/2 - 142*l - 821. What is the third derivative of k(h) wrt h?
72300
Let j(g) = -18*g**3 + 4*g**2 + 14*g + 2253. Let b(a) = 6*a**3 - a**2 - 4*a - 758. Let k(r) = 7*b(r) + 2*j(r). What is the derivative of k(h) wrt h?
18*h**2 + 2*h
Let m(u) be the third derivative of 73*u**5/30 + 755*u**3/6 + 2*u**2 - 411. What is the first derivative of m(q) wrt q?
292*q
Let l(n) = -3607*n**3 + 8*n**2 - 1244*n - 2. Let o(r) = -3606*r**3 + 6*r**2 - 1240*r - 1. Let j(y) = 3*l(y) - 4*o(y). Find the second derivative of j(c) wrt c.
21618*c
Let j(u) be the third derivative of -17/2*u**3 + 0 + 0*u + 90*u**2 - 41/6*u**4. What is the derivative of j(f) wrt f?
-164
Let o be (3/(-6) + 0)*-18. Let u(i) = 18*i**2 - i + 3. Let n(b) = 35*b**2 - 3*b + 5. Let f(w) = o*u(w) - 4*n(w). Find the second derivative of f(s) wrt s.
44
Differentiate -8503*m + 6771*m - 9965*m - 5544 wrt m.
-11697
Suppose 88*y = 79*y + 45. Let q(w) be the second derivative of -w**2 + 0 - 1/15*w**6 - y*w + 0*w**5 + 0*w**3 + 0*w**4. Differentiate q(z) wrt z.
-8*z**3
Let p be (-10 - -2)/(-4 - -2). Differentiate 74 - p*v**2 - 63 + 78*v**2 wrt v.
148*v
Let u(l) be the first derivative of -5*l**2 - 16 + l - 1/3*l**3. Find the second derivative of u(g) wrt g.
-2
Find the third derivative of -191*y - 1190*y**2 + 290*y - 525*y**4 + 208*y + 1191*y**2 - 403*y**4 wrt y.
-22272*y
Let b(y) = 1929*y**2 + 3146*y + 18. Let u(l) = l**2 + 2*l + 3. Let s(w) = -b(w) + 6*u(w). What is the second derivative of s(h) wrt h?
-3846
Let o(b) be the third derivative of -25/48*b**8 + 0*b**6 + 0 + 0*b**4 + 0*b**7 + 0*b**3 + 71/60*b**5 + 301*b**2 + 0*b. Find the third derivative of o(j) wrt j.
-10500*j**2
Let x = -128 + 88. Let u = 43 + x. What is the third derivative of -3*y**u - 13*y**3 + 13*y**2 + 2*y**3 wrt y?
-84
Let c(h) = -h**3 + 4*h - 4. Let r be c(2). Let q be (-5)/(-15)*(r + 52). Find the third derivative of -14*y**2 - 25*y**6 - q*y**2 + 159*y - 159*y wrt y.
-3000*y**3
Let y = 272 - 270. Find the second derivative of w + 10*w**3 + 9*w**3 - y*w**4 + 6 + 57*w**3 wrt w.
-24*w**2 + 456*w
Find the second derivative of -5491*g + 419*g**4 + 912*g**4 + 6107*g wrt g.
15972*g**2
What is the third derivative of -1316366*i**4 + 1316454*i**4 + 307*i**2 + 429*i**2 wrt i?
2112*i
What is the second derivative of 311046 - 311058 + 712*h**2 - 7*h**4 + 2*h**5 + 8*h**4 + 68*h wrt h?
40*h**3 + 12*h**2 + 1424
Let f = -386 + 394. What is the second derivative of 5*a**3 + 10*a**4 + 80*a - f*a - 18*a + 29*a + 15*a**4 wrt a?
300*a**2 + 30*a
Let w(d) be the third derivative of 1243*d**8/336 - d**6/120 + 3*d**4/8 - 2*d**3/3 + 1774*d**2. What is the second derivative of w(u) wrt u?
24860*u**3 - 6*u
Let g(a) = 420*a**2 - 24*a - 9954. Let t(d) = 346*d**2 - 25*d - 9956. Let j(h) = 3*g(h) - 4*t(h). Find the first derivative of j(u) wrt u.
-248*u + 28
Let s(d) be the first derivative of -1/3*d**3 + 0*d**2 + 10*d**4 - 35 - 145*d. Find the first derivative of s(r) wrt r.
120*r**2 - 2*r
Let d(n) = 2*n + 8. Let w(y) = -525*y - 1269. Let u(z) = 2*d(z) + w(z). Differentiate u(a) with respect to a.
-521
Let j(z) = -907*z - 403. Let f(d) = -5. Let p(v) = 10*f(v) + 2*j(v). What is the first derivative of p(o) wrt o?
-1814
Let p = 108 + -63. Suppose -45 = -18*y + p. Find the third derivative of 16*j + 11*j**y + 7*j**2 - 16*j + 12*j**5 wrt j.
1380*j**2
Let l(a) be the second derivative of -7/12*a**4 - 79*a - 5/3*a**3 + 89/2*a**2 + 0. What is the first derivative of l(w) wrt w?
-14*w - 10
Let u(n) be the second derivative of -787*n**3/3 + 876*n**2 + 317*n. Differentiate u(t) with respect to t.
-1574
What is the derivative of 1187 + 98*z + 1836 - 98*z - 5532*z**3 - 613 wrt z?
-16596*z**2
Find the third derivative of -3*q**5 + q**2 - 934511*q + 2*q**5 + 9 + 934450*q - 556*q**3 - 8*q**4 + 4 wrt q.
-60*q**2 - 192*q - 3336
Let h(u) = u + 4. Suppose 0 = g + 4, -m + 5*g + 3 + 11 = 0. Let v(c) = -123*c - 56. Let n(a) = m*h(a) - v(a). Differentiate n(r) wrt r.
117
Let i(p) = 1963*p - 152. Let b(h) = -1961*h + 158. Let q(n) = -4*b(n) - 3*i(n). Find the first derivative of q(v) wrt v.
1955
Let q(c) be the third derivative of -6/35*c**7 + 0*c + 0*c**6 + 0*c**4 + 0 - 41/6*c**3 + 0*c**5 - 87*c**2. Differentiate q(r) wrt r.
-144*r**3
Let o(k) = -k**4 + 9*k**2 - k + 1. Let t(v) = 967*v**4 + v**3 - 45*v**2 + 1036*v - 5. Let p(s) = 5*o(s) + t(s). Find the second derivative of p(b) wrt b.
11544*b**2 + 6*b
Let l(x) be the second derivative of -25*x**4/12 - 9*x**3/2 - 889*x**2/2 - 1491*x + 3. Find the first derivative of l(u) wrt u.
-50*u - 27
Let h be (-1 + -1)/((-6)/18). Let m(n) = 6*n - 10. Let b be m(h). Find the second derivative of 15*f - f**2 - 26 + b wrt f.
-2
Let c(s) be the first derivative of 43*s**8/56 - 5*s**4/12 - 205*s - 66. Let y(f) be the first derivative of c(f). Find the third derivative of y(v) wrt v.
5160*v**3
Suppose 5*z + 24 = 34. Let f be z/8 - (-2430)/8. Differentiate 304*t - f*t + 3 - 11*t**2 wrt t.
-22*t
Let a be -2*(2/(-1) - -1). What is the third derivative of 420*z**6 + a*z**3 - 72*z**2 - 153*z**6 + 6*z**3 - 8*z**3 wrt z?
32040*z**3
Let p = -18/13 - -75/26. Let c(h) be the second derivative of p*h**4 - 5*h + 0*h**3 - 15/2*h**2 + 0. What is the derivative of c(y) wrt y?
36*y
What is the first derivative of -1045 + 728 - 1601 + 310*u wrt u?
310
Suppose 0 = -2*j - 6, -5*j - 13 = -5*q + 22. Suppose q*u = 1078 - 374. What is the second derivative of 5*w**5 - u*w**3 + 176*w**3 + 34*w wrt w?
100*w**3
Find the first derivative of 221*f**2 - 4*f - 224*f**2 - 22*f**3 - 300 - 19*f + 4027 wrt f.
-66*f**2 - 6*f - 23
Suppose 51 + 3 = 6*u. Find the second derivative of -4*f + u*f**2 - 9*f + 2*f - 17*f wrt f.
18
Let y(d) be the second derivative of -151*d**5/2 + d**3/6 - 113*d**2/2 - 2*d + 2115. Find the second derivative of y(w) wrt w.
-9060*w
Let s be ((-1)/(-3))/(1/6). Let x(z) = z + 9. Let t be x(-7). What is the first derivative of t + s - 3*w**3 + 10*w**2 - 10*w**2 wrt w?
-9*w**2
Let h(y) be the first derivative of -y**6/6 - 4773*y**4/4 + 1940*y**3/3 + 6564. Find the third derivative of h(i) wrt i.
-60*i**2 - 28638
Let r(w) be the second derivative of -6457*w**4/12 - w**3/3 - 3893*w**2/2 - 2*w - 2807. What is the second derivative of r(n) wrt n?
-12914
Let c(s) = -8*s - 63. Let q(x) = -x + 1. Let b(j) = -c(j) - 4*q(j). Let p(t) = 16*t + 59. Let v(w) = -5*b(w) + 6*p(w). Differentiate v(h) with respect to h.
36
Let u be (-328)/180 + 14/63 - -2. Let k(d) be the first derivative of -u*d**5 - 8*d + 0*d**2 + 0*d**4 + 0*d**3 - 21. What is the derivative of k(g) wrt g?
-8*g**3
Let n(r) be the third derivative of -9/2*r**4 - 32*r**2 + 0*r**3 + 0*r + 0 + 1/4*r**5. What is the second derivative of n(h) wrt h?
30
Differentiate 1640 - 60*a + 104*a - 44*a + 2*a**4 + 187*a**3 wrt a.
8*a**3 + 561*a**2
Let c(g) = -893*g**2 + 1367*g + 9. Let k(r) = -1787*r**2 + 2736*r + 15. Let z(q) = 5*c(q) - 3*k(q). What is the second derivative of z(o) wrt o?
1792
Let x(l) = 1992*l**3 - 151*l**2 - 3. Let u(f) = f**3 + 4*f**2 - 1. Let h(m) = 3*u(m) - x(m). Find the third derivative of h(z) wrt z.
-11934
Let k(j) be the third derivative of -j**9/252 + 167*j*