20*i**3
Let p(a) be the first derivative of -64 + 0*a**3 - 65/6*a**6 + 0*a + 0*a**4 - 39*a**2 + 0*a**5. Find the second derivative of p(h) wrt h.
-1300*h**3
Let v(g) = g**3 - 2*g**2 - g. Let p(o) = 2*o**3 + 7*o**2 - 6*o + 69. Suppose 180 = -8*m - 22*m. Let h(z) = m*v(z) + p(z). Differentiate h(r) with respect to r.
-12*r**2 + 38*r
Let c(b) = 7*b - 46. Let k be c(7). What is the first derivative of 16 + 10 + 26*x**2 + 96*x**k - 98*x**3 wrt x?
-6*x**2 + 52*x
Let a = -4899 - -16491. Differentiate 2*p**2 + 0*p**2 + 223 - 11504*p + a*p with respect to p.
4*p + 88
Suppose -16*j - 24 = -24*j. What is the third derivative of -52*t**4 + 3*t**3 - 83*t**2 - 47*t**4 + 105*t**4 - t**j wrt t?
144*t + 12
Let z(a) = a**2 - 19*a - 6. Let u be z(19). Let y(s) = -s + 4. Let p(h) = 10*h + 60. Let o(k) = u*y(k) - p(k). What is the derivative of o(r) wrt r?
-4
Let s be (4 - 8 - -1)/((-1)/1). Let y(o) = -o + 17. Let q be y(13). Find the second derivative of 29*m - 2*m**4 + s*m**q + 18*m**4 wrt m.
228*m**2
What is the second derivative of -d**3 + 1193*d - 417*d + 1401*d + 1415*d + 1032*d**2 wrt d?
-6*d + 2064
Let h(f) be the third derivative of 593*f**7/70 + 313*f**4/4 + 1773*f**2. What is the second derivative of h(b) wrt b?
21348*b**2
Find the third derivative of -1867*q**6 + 9*q + 26 + 42 + 434*q**2 - 71 - 9*q wrt q.
-224040*q**3
Let p(w) be the third derivative of 8*w**8/21 - 2*w**7/105 - w**6/120 + w**4/12 + 898*w**3/3 + 2*w**2 - 7480*w. Find the second derivative of p(h) wrt h.
2560*h**3 - 48*h**2 - 6*h
Let o(h) be the second derivative of 1649*h**4/12 - h**3/3 + 245*h**2/2 - 3186*h. What is the derivative of o(p) wrt p?
3298*p - 2
What is the first derivative of -16*f**2 + 63*f**3 + 2767 - 8*f**4 - 685 + 18*f**2 wrt f?
-32*f**3 + 189*f**2 + 4*f
Let s(n) be the third derivative of 0 - 40/3*n**3 + 11/15*n**5 + 0*n**4 - 109*n**2 + 0*n. Find the first derivative of s(a) wrt a.
88*a
Let d = 20 + -20. Suppose 5*j + d = 105. Find the second derivative of -21*h - j*h**5 + 38*h - 21*h wrt h.
-420*h**3
Let j(x) be the first derivative of 2129*x**3/3 + 10*x - 399. What is the derivative of j(i) wrt i?
4258*i
Suppose 2*n - 57 = -25. Suppose 5 = 5*g - k - 15, n = 4*g + 2*k. Differentiate 7 - 17 + 0*m**4 + 16 - 5*m**g with respect to m.
-20*m**3
Let b be 6/4 - 3/((-18)/87). Find the second derivative of 6*j**2 - 6 - b*j - 27*j + 47*j wrt j.
12
Let r(l) = -163*l**2 - 22*l + 5701. Let h(p) = -p**3 + 650*p**2 + 88*p - 22801. Let z(v) = -2*h(v) - 9*r(v). What is the derivative of z(j) wrt j?
6*j**2 + 334*j + 22
Let j(u) be the third derivative of u**6/60 - 835*u**5/6 - 2131*u**4/12 + u**3/3 + 64*u**2 - 6*u - 4. Find the second derivative of j(s) wrt s.
12*s - 16700
Differentiate -399 + 361 - 1067 - 2290*s - 1723 - 521*s wrt s.
-2811
Let o(s) be the second derivative of -51*s**5/20 - 13*s**3/3 + 266*s**2 + 2*s - 1658. What is the first derivative of o(x) wrt x?
-153*x**2 - 26
Suppose 36*m - 79 + 7 = 0. Differentiate -19 + 146 - 253*v**2 + 48 + 79*v**m wrt v.
-348*v
Let a(l) = -14*l**3 - 37*l**2 - 472*l - 3. Let n(p) = 2*p**3 + p**2 - p - 1. Let t(b) = a(b) - 3*n(b). What is the second derivative of t(o) wrt o?
-120*o - 80
Let k(c) be the third derivative of -84*c**6/5 + c**5/30 - 844*c**3/3 - 3482*c**2. What is the derivative of k(t) wrt t?
-6048*t**2 + 4*t
Let c(h) be the third derivative of 0 + 0*h - 59*h**2 + 67/6*h**3 - 65/24*h**4. What is the first derivative of c(y) wrt y?
-65
Let s(n) be the third derivative of 169*n**6/120 + n**4/24 - 1198*n**3/3 + 5*n**2 + n - 179. Find the first derivative of s(d) wrt d.
507*d**2 + 1
Let f(q) be the first derivative of 886*q**3/3 - 191*q**2/2 + 653. What is the second derivative of f(u) wrt u?
1772
Let y(c) = -c**2 + 2*c - 30. Let n(s) = 4152*s**2 + 156*s - 115. Let d(b) = n(b) - 4*y(b). What is the second derivative of d(m) wrt m?
8312
Let x(s) be the third derivative of -s**9/252 + 127*s**7/42 + 91*s**5/6 + s**2 + 353*s. What is the third derivative of x(v) wrt v?
-240*v**3 + 15240*v
What is the third derivative of -104*u**2 - 27*u + 97*u**2 - 3029*u**3 - 218*u wrt u?
-18174
Suppose -4*i + 0*x - 40 = -3*x, 3*i = -2*x - 13. Let l be i/(-21)*(-18)/(-3). Find the third derivative of 0*p**2 + 9*p**5 + 10*p**5 + p**5 - 23*p**l wrt p.
1200*p**2
Let d = 43 + -40. Suppose 2*a - n - 16 = d*n, 3*a - 2*n - 12 = 0. Find the third derivative of -25*u**5 + u**a + 3*u**2 + u**5 + 3*u**2 wrt u.
-1440*u**2
Let v(r) = 48*r + 242. Let n be v(-5). Let z(j) = -266*j + 30. Let c(k) = 2*k + 2. Let m(d) = n*c(d) - z(d). What is the derivative of m(u) wrt u?
270
Let a be 20/6 + (-458)/(-687). Let n(c) be the first derivative of 0*c + 9/4*c**a + 0*c**2 + 17 + 2/3*c**3. Find the third derivative of n(j) wrt j.
54
Differentiate 2*k + 1488 + 275*k**3 + 4*k**4 - 501*k**3 + 298*k**3 wrt k.
16*k**3 + 216*k**2 + 2
Let m(f) be the second derivative of 222*f**6/5 + 5*f**3/2 - 19*f**2/2 + 229*f. Find the second derivative of m(w) wrt w.
15984*w**2
Let k(r) = 2984*r**4 - 8*r - 2345. Let g(v) = 995*v**4 - 3*v - 781. Let t(y) = 8*g(y) - 3*k(y). What is the first derivative of t(u) wrt u?
-3968*u**3
Find the third derivative of -74*m**5 + 1326*m**6 + 134*m**5 - 63*m**5 + 2*m**2 + 4*m**2 - 12*m**2 + 82 wrt m.
159120*m**3 - 180*m**2
Let l(f) = 3*f**2 + 16*f - 8. Let i be l(-6). Find the third derivative of -5*r**6 + i*r**6 - 80*r**2 + 347*r**3 - 334*r**3 wrt r.
-120*r**3 + 78
Let h(u) = -47 - 51 + 36*u + 70 - 2*u**2. Let m be h(17). What is the third derivative of -38*k**m + 30*k**2 - 47*k**2 - 21*k**2 wrt k?
-4560*k**3
Let u be (-9)/2*-1*2. Let r be (-1)/((1/5)/((-33)/55)). Find the second derivative of -10*f**4 + 19*f - r*f**4 - u*f wrt f.
-156*f**2
Suppose m + 2*d = -4*m + 523, 526 = 5*m - d. Let z be 294/m + (2 - (-18)/(-10)). Find the third derivative of -13*y**6 - 16*y**6 + z*y**6 - 25*y**2 wrt y.
-3120*y**3
Let x be 12/30 - (-38)/5. Suppose x = -7*p + 50. Find the second derivative of -4*l**3 - 6*l**3 + 19*l - 27*l - p*l**3 wrt l.
-96*l
Find the third derivative of -352*x**3 + 55*x**3 - 2*x**2 - 2*x**2 - 1020*x**3 + 148*x - 330*x**3 wrt x.
-9882
What is the third derivative of 6550*p**6 - 5188*p**6 + 462*p**2 - 2133*p**2 wrt p?
163440*p**3
Let m(l) be the second derivative of -l**5/20 - 185*l**4/4 + l**3/6 - 4683*l**2/2 - 12723*l. Differentiate m(j) with respect to j.
-3*j**2 - 1110*j + 1
Suppose 3*j - 4*a - 210 = 0, -2*j + a = 3*j - 333. Let r = -45 + j. What is the third derivative of 13*s**6 + 1445*s**5 + r*s**2 - 1445*s**5 wrt s?
1560*s**3
Let m(y) = y**2 + 10*y - 124. Let i be m(-20). What is the second derivative of 190 - 90 - 80 + 2*n + i*n**2 wrt n?
152
Let n(x) be the third derivative of -1/3*x**3 - 7/60*x**5 + 0*x**4 + x**2 + 21/40*x**6 - 33*x + 0. Find the third derivative of n(y) wrt y.
378
Let v(a) be the first derivative of 8889*a**2/2 - 2684*a - 1203. What is the derivative of v(y) wrt y?
8889
Let j = 36 - 35. Let n(a) = 5*a**3 + 2*a - 2. Let o be n(j). What is the second derivative of 5*q**2 - o*q**2 - 25*q + 2*q**2 + 8*q**2 wrt q?
20
Suppose -37*y = 17*y - 108. Find the second derivative of 2*l**3 + 51*l**y - 104*l - 2 - 178*l + 2 wrt l.
12*l + 102
Let t(a) = -3*a**2 + 21*a - 26. Let m be t(5). Find the first derivative of 16*j**4 + 17*j**4 + 30*j**m - 44 - 23 wrt j.
252*j**3
What is the derivative of 3950*a + 7689 - 3029*a + 7323*a + 1006*a wrt a?
9250
Let c(j) be the first derivative of 1/4*j**4 + 0*j**5 + 0*j - 61 + 0*j**3 - 1/6*j**6 + 6*j**2. Find the second derivative of c(r) wrt r.
-20*r**3 + 6*r
Let z(c) be the second derivative of c**8/14 + 39*c**6/10 + 46*c**4/3 + 5*c**2/2 - 2426*c. What is the third derivative of z(q) wrt q?
480*q**3 + 2808*q
Let c(b) be the third derivative of -376*b**6/15 - 9*b**5/20 + 19*b**4/24 - b**3/3 + 2*b**2 - 159*b - 3. Find the third derivative of c(s) wrt s.
-18048
Let t(s) be the second derivative of 599*s**8/28 - 3749*s**4/12 - 4772*s. Find the third derivative of t(y) wrt y.
143760*y**3
Find the second derivative of 2 + 2153*a - 611*a - 13*a**3 - 536*a - 25*a**4 - 759*a wrt a.
-300*a**2 - 78*a
Find the second derivative of 272693*r**4 - 272693*r**4 - 88*r - 2087*r**5 wrt r.
-41740*r**3
Let z(p) be the second derivative of 3*p**6/10 - 2*p**5/5 + 7*p**4/12 - 1325*p**3/3 - 209*p - 2. Find the second derivativ