r**3. Find the third derivative of l(a) wrt a.
540*a**2
Let h(v) = 12*v + 75. Let z be h(-6). What is the second derivative of 3 - 5 - 246*l**3 - 43*l + 262*l**z wrt l?
96*l
Let k = 43 - 41. Let y be (-1)/k*(5 + (-5 - 0)). Differentiate -3*c**3 + 22 + y*c**3 - 10 + 8 wrt c.
-9*c**2
Let n be 2/(5/(-15) - -1) - 1. Find the second derivative of -14*y**2 + 16*y**2 + 15*y - n + 28*y**3 - 3*y**2 wrt y.
168*y - 2
Let s(r) = -r**4 - r**2 - 2*r - 1. Let f(w) = 22*w**4 - 5*w**2 - 6*w - 772. Let d(t) = -f(t) + 3*s(t). Differentiate d(x) with respect to x.
-100*x**3 + 4*x
Let k(b) be the third derivative of -b**8/168 + 316*b**7/105 - 7*b**5/15 - b**4/24 - 3395*b**2. What is the third derivative of k(q) wrt q?
-120*q**2 + 15168*q
Let q(l) = -5277*l**4 + 15*l**2 + 30*l + 6839. Let y(x) = 1319*x**4 - 4*x**2 - 8*x - 1710. Let t(v) = -4*q(v) - 15*y(v). What is the derivative of t(u) wrt u?
5292*u**3
What is the third derivative of -1805 + 3*q - 566*q**2 - 3*q - 2136*q**3 + 564*q**2 wrt q?
-12816
Let g(c) be the first derivative of 125 + 30*c**2 - 143 + 2*c**5 + 6*c**5. What is the second derivative of g(y) wrt y?
480*y**2
Suppose -17*j = -19*j + 10. Let a = 22 - j. What is the first derivative of 12*l + 20*l**2 + 5*l - 50 - a*l wrt l?
40*l
Let x(o) = o**3 - 15*o**2 + 12*o + 55. Let q be x(14). What is the second derivative of -q + 6*f - 32 + 72 + 5*f - 213*f**4 wrt f?
-2556*f**2
What is the third derivative of -1860*o**3 + 53*o - 1553*o**3 - 53*o + 1265*o**2 wrt o?
-20478
Suppose -4*l + 108 = -4*q, 0*l + 2*l = -3*q + 29. Differentiate l - 20*h + 13 + 45 - 48*h wrt h.
-68
Let h(a) = -42*a**2 + 2*a - 1. Let l be (-11)/(-9) + 16/(-72). Let g(t) = -2*t**2 + t - 1. Let f(w) = l*h(w) - 2*g(w). Differentiate f(z) wrt z.
-76*z
Suppose 5*m - 69 = -2*f, 10*m - 11*m + 2*f + 9 = 0. What is the second derivative of m*k**3 - 12*k**4 - 57 - 49 + 110 + 47*k wrt k?
-144*k**2 + 78*k
Let y be (-12)/(-1)*(28/8 - 2). Suppose 0 = h - 3*w - y, 3*w - 4*w + 6 = h. What is the derivative of -6 + 8*m - h*m + 21*m**2 + m wrt m?
42*m
Let l(y) = -y**3 - 4*y**2 + y + 1. Let o(t) = 1169*t**3 - 24*t**2 + 928*t + 6. Let g(k) = -6*l(k) + o(k). Find the second derivative of g(j) wrt j.
7050*j
Let f(i) be the first derivative of 1/2*i**4 + 109*i + 11/3*i**3 - 135 + 0*i**2. Find the first derivative of f(j) wrt j.
6*j**2 + 22*j
Let j(k) be the first derivative of 256*k**3/3 + 68*k + 644. Differentiate j(n) with respect to n.
512*n
Let w be 2 + ((-1)/(-3))/((-1)/111). Let i be 7/w + 81/5. What is the third derivative of 59*a + 7*a**2 - 59*a - i*a**5 wrt a?
-960*a**2
Find the second derivative of 21*w - 6*w - 6*w - 253 - 4*w**3 + 1019*w**2 + 11*w - 17*w wrt w.
-24*w + 2038
Let q = 23 - 17. Suppose q*a - 240 = -6*a. Find the first derivative of 8 + a - 31*p - 10*p + 10 wrt p.
-41
What is the second derivative of 32*b - 1150*b**5 - 10005*b**3 + 10005*b**3 + 5 wrt b?
-23000*b**3
Let c be ((-9 - (-4 - 5))*-1)/2. Let b(g) be the first derivative of 9/2*g**4 - 11 + c*g**3 + 4*g + 0*g**2. Differentiate b(f) wrt f.
54*f**2
Let p = -315 - -318. Find the second derivative of 437 - l + 21*l**p - 437 wrt l.
126*l
Let z(f) be the first derivative of -111*f - 14 + 0*f**2 - 1/4*f**4 + 1/3*f**3. Differentiate z(c) wrt c.
-3*c**2 + 2*c
Let i be ((-6)/(-2))/(0 - -1). Find the second derivative of -2*t**3 + 3*t**i + t**3 + 77*t - t**4 - 39*t - 66 - 40*t wrt t.
-12*t**2 + 12*t
What is the second derivative of 124 - 283*p**5 + 24 + 8*p + 2735*p**5 wrt p?
49040*p**3
Let a = 53 + -57. Let t(j) = j**3 + 3*j**2 - 4*j + 2. Let w be t(a). Find the third derivative of 12*s**2 - 8*s**w - 22*s**4 - 9*s**2 wrt s.
-528*s
Let r be (-1617)/(-35) - ((-27)/15 - -2). Suppose 5 = -x, -3*b + r = b - 2*x. Differentiate 1 - b*j**2 + 2*j**2 - 8*j**2 wrt j.
-30*j
Suppose 5*i + 2 = 7. Let r(f) = 5*f**3 - 2*f**2 + 2*f - 1. Let o be r(i). Find the second derivative of 3*h**4 + 6*h + h - h + h**o wrt h.
48*h**2
Let w(y) be the third derivative of -257*y**5/20 - y**4/8 - 145*y**3/6 + 3801*y**2. What is the second derivative of w(s) wrt s?
-1542
Let v(z) = -z**3 + 3*z**2 + 5*z - 11. Let o be v(2). Let x = -18 + 27. What is the derivative of 4*p**3 - 6 + 7*p**3 + 15 + x*p**o wrt p?
60*p**2
Let t be (55 - 1)*12/18. Find the third derivative of t*n + 40*n + 39*n - 115*n + 68*n**2 - 172*n**3 wrt n.
-1032
Let s(c) be the second derivative of 6113*c**4/12 - 7*c**3/6 + 3*c**2/2 + 2372*c. Find the second derivative of s(b) wrt b.
12226
What is the derivative of -47937*m**2 + 4*m + 47898*m**2 - 3*m + m + 629 wrt m?
-78*m + 2
Let v(a) = -2565*a - 294. Let h(r) = 26*r - 1. Let s(d) = 6*h(d) - v(d). What is the first derivative of s(y) wrt y?
2721
Let v(p) = 3*p - 34. Suppose -4*l = -9*l + 80. Let w be v(l). What is the third derivative of -12*n**2 - 3*n**3 + w*n**2 - 12*n**2 wrt n?
-18
Let p(f) be the third derivative of 0 - 1/2*f**4 + 0*f + 0*f**3 + 1/60*f**5 - 18*f**2 - 1/6*f**6. Find the third derivative of p(v) wrt v.
-120
Let v(a) be the third derivative of -3*a**5/20 + 5*a**4/4 + 301*a**3/3 - 1477*a**2. Differentiate v(z) wrt z.
-18*z + 30
Suppose -5*z - 25 = 3*m - 10, -z - 3 = -4*m. What is the second derivative of 2152*v**2 + m - 36*v + 0 - 2174*v**2 wrt v?
-44
Let s(r) be the third derivative of 1/24*r**4 + 0*r + 0 - 18*r**2 + 0*r**3. Let g(m) = 12*m**3 + 16*m + 8. Let b(x) = -g(x) + 16*s(x). Differentiate b(j) wrt j.
-36*j**2
Let t(w) be the third derivative of -w**7/210 + 77*w**5/15 + 53*w**4/8 - 557*w**2. What is the second derivative of t(r) wrt r?
-12*r**2 + 616
Let y = -141 - -143. Differentiate 3388 - 3219 + 104*n**4 - n**y + 0*n**2 with respect to n.
416*n**3 - 2*n
Let r = 210 + -152. Find the first derivative of -r + 31*l + 34 - 4*l + 29*l wrt l.
56
Find the first derivative of -2132 + 514 + 20*a**4 - 12*a**4 + 41*a**4 - 7*a**2 wrt a.
196*a**3 - 14*a
Let a be (56/112)/((-2)/(-4)). Let l(d) = 59*d**2 + 4*d + 3. Let i be l(-4). What is the derivative of -8 + 911*x - i*x + a wrt x?
-20
Suppose 32 = 3*k - 61. Let x = -23 + k. What is the third derivative of x*n**3 - 7*n**2 + 2*n**2 - 69 + 69 wrt n?
48
Find the third derivative of -19*i**2 - 24*i**5 + 19*i**5 - 28*i**6 + 454*i + 398*i - 20*i**2 + 38*i**2 wrt i.
-3360*i**3 - 300*i**2
Let w(a) = -7*a - 5 + 7*a - 55*a**2 - 98*a. Let p(n) = -55*n**2 - 97*n - 4. Let s(j) = -5*p(j) + 4*w(j). Find the second derivative of s(d) wrt d.
110
Let v(j) = 1000*j**4 - 10*j**3 + 456*j**2 + 20. Let c(r) = -8*r**4 + r**3 + r**2 - 2. Let o(m) = 10*c(m) + v(m). Find the third derivative of o(i) wrt i.
22080*i
Suppose 8*n - n - 175 = 0. Suppose -5*y + n = -50. Differentiate -8*j - y*j - 7*j + 8*j - 15 with respect to j.
-22
Let t(q) be the second derivative of 28*q + 1/6*q**3 + 7*q**5 + 0*q**2 + 4/3*q**4 + 0. What is the third derivative of t(j) wrt j?
840
Let k(b) be the third derivative of -247*b**6/24 - 33*b**5/10 + b**4/8 - 108*b**2 - 3. What is the third derivative of k(p) wrt p?
-7410
Let w(h) be the third derivative of 5*h**8/336 + h**7/210 - 11*h**4/8 - 13*h**3/6 - 11*h**2 - 4. What is the second derivative of w(f) wrt f?
100*f**3 + 12*f**2
Find the third derivative of -1872*v**5 + 873*v**5 - 458*v**2 + 1543*v**5 wrt v.
32640*v**2
Let s(m) be the second derivative of -11/6*m**4 - 1/2*m**2 - 20 - 1/10*m**5 + 8*m**3 - 2*m. What is the second derivative of s(c) wrt c?
-12*c - 44
Let j(c) be the first derivative of -385*c**2/2 - 2510*c + 3389. Find the first derivative of j(q) wrt q.
-385
Find the third derivative of -97080*v - v**2 + 1203*v**3 - 97086*v + 194164*v - 518 wrt v.
7218
Let l be (1 + -4 - (443 - 0))/(-2). Suppose -8*z + l = -105. What is the second derivative of 32*p + 18*p - z*p + 7*p**5 wrt p?
140*p**3
What is the second derivative of -14*y**2 + 127*y**2 - 399*y + 6*y**2 + 149*y**2 wrt y?
536
Suppose -323 = -4*v + k, -62 = -v - 2*k + 12. Find the first derivative of v + g**3 - 93*g + 48*g + 5 wrt g.
3*g**2 - 45
What is the first derivative of -1187 - 1534 + 272 - 54 - 488 + 818*s**2 wrt s?
1636*s
Let w(q) = -296*q - 72. Let n(u) = 1477*u + 358. Let h = -225 + 236. Let b(j) = h*w(j) + 2*n(j). What is the derivative of b(t) wrt t?
-302
Let w(r) be the first derivative of -1185*r**4 - 49*r**3/3 + 4080. What is the third derivative of w(v) wrt v?
-28440
Let l(c) be the second derivative of -4*c**