.
240*q**2
Let q(h) be the second derivative of h + 48 - 42*h**2 + 7/6*h**4 - h**3. Differentiate q(y) with respect to y.
28*y - 6
What is the third derivative of -1125*q**2 - 3116*q**3 - 962*q**3 + 63*q - 63*q + 159*q**2 wrt q?
-24468
Let f(u) be the first derivative of 12*u**3 + 0*u**4 + 0*u**5 + u - 199/6*u**6 + 0*u**2 + 77. Find the third derivative of f(o) wrt o.
-11940*o**2
Let g(n) = -2*n**3 + 10*n**2 - n + 1. Let k(b) = 1253*b**3 + 28*b**2 - 8*b - 114. Let q(v) = -3*g(v) + k(v). What is the second derivative of q(f) wrt f?
7554*f - 4
Let d(h) = 194*h**4 - 3*h**3 + 8*h**2 - 727*h - 6. Let q(u) = 3*u**4 + 2*u**2 - 1. Let n(i) = -d(i) + 4*q(i). Find the second derivative of n(f) wrt f.
-2184*f**2 + 18*f
Suppose -25 = -214*d - 25. Let b(q) be the first derivative of 13/4*q**4 + 0*q**2 + 6 + d*q**3 - 19*q. Find the first derivative of b(x) wrt x.
39*x**2
Let c = 15 + 60. Suppose 0 = -2*b - b + c. Let d(k) = -k - 1. Let q(u) = 5*u**3 + 25*u + 10. Let p(l) = b*d(l) + q(l). Find the first derivative of p(a) wrt a.
15*a**2
Let m(h) be the third derivative of h**5/30 - 143*h**4/24 - 463*h**3 + 3238*h**2. What is the first derivative of m(x) wrt x?
4*x - 143
Suppose 0 = 2*r - 52 + 44. Find the first derivative of -54 - 7*n**2 - 57 + n**2 + 130 + 107*n + r*n**2 wrt n.
-4*n + 107
Let l(t) be the second derivative of -63*t**2 - 14/15*t**6 + 0*t**4 - 1/3*t**3 + 11 + t + 0*t**5. What is the first derivative of l(p) wrt p?
-112*p**3 - 2
Let n be -1 - (20/(-8))/(1/2). Suppose 0 = 2*b - 4, 5*i + 4*b - n - 14 = 0. What is the third derivative of -2*k**4 + k**2 + 2*k**4 - 30*k**5 - 12*k**i wrt k?
-1800*k**2
Let k(i) be the third derivative of -13*i**7/15 - i**6/60 - 201*i**3 - 1082*i**2. Differentiate k(v) with respect to v.
-728*v**3 - 6*v**2
Suppose -2*c - 5*j = -0*c - 22, -2*c + 3*j + 22 = 0. Find the third derivative of -4*i**5 - 12 + 3 + 9*i**2 - 6*i**5 + c wrt i.
-600*i**2
Find the third derivative of -3029*z**5 + 79 + 10*z**2 + 2*z - 1269*z**5 - 20*z**2 wrt z.
-257880*z**2
Suppose 2*p - 4*t - 22 = 0, 8*t + 4 = 4*p + 10*t. What is the second derivative of 212*f**3 - 203*f**3 - 11*f + p*f**2 + 0*f**2 wrt f?
54*f + 6
Let p(y) be the third derivative of -55*y**6/8 - 643*y**5/30 - 42*y**2 - 6. What is the third derivative of p(s) wrt s?
-4950
Let r(j) = -78*j**2 - 5*j - 27. Suppose 0 = 73*m - 77*m - 20. Let o(c) = 78*c**2 + 4*c + 27. Let l(p) = m*o(p) - 4*r(p). Differentiate l(z) wrt z.
-156*z
Let w = 803 - 800. What is the derivative of 23*u**2 + 2*u**3 + 25*u**2 - 264 - 69*u**w - 48*u**2 wrt u?
-201*u**2
Suppose -142 = -3*j - 136. What is the second derivative of -311*p**j - 183*p + 583*p - 158*p wrt p?
-622
Let w(g) be the second derivative of -61*g**6/2 - g**4/12 + 47*g**2/2 + 743*g + 1. What is the first derivative of w(q) wrt q?
-3660*q**3 - 2*q
Let o(u) = -61*u**2 + 5*u + 5918. Let v(y) = 5*y**2 + y - 2. Let m(j) = o(j) - 5*v(j). Differentiate m(x) with respect to x.
-172*x
Let h = -576 + 578. Let d be (2*2)/((-6)/(-117)). What is the third derivative of 6*n**h + 97*n**6 - 16*n**2 - d*n**6 wrt n?
2280*n**3
Suppose -5*o + b = -77, 0 = 4*o - 0*o - b - 61. What is the third derivative of o*a + 33*a**2 + 97*a**4 + 10*a - 70*a**2 + 34*a**2 wrt a?
2328*a
Let s = -295 - -364. What is the third derivative of -d**2 + 42*d - 67*d + 47*d - s*d**6 - 8*d**6 wrt d?
-9240*d**3
Find the second derivative of -5415*i + 5447*i + 901*i**2 + 12 - 2 - 2 wrt i.
1802
Let y be 3/(-6) + (3/2 - -3). Suppose -y = -k - k. Differentiate 3*s**2 - 62 + 79 - s**k + 4*s**2 with respect to s.
12*s
Let r(k) be the second derivative of -7*k**6/30 - 64*k**5/5 + 4919*k**4/12 - 827*k - 4. Find the third derivative of r(s) wrt s.
-168*s - 1536
Suppose 2*q = 3*s - 8 + 30, 0 = 5*q - s - 68. Suppose 3*z = -4*y + q, -y = 4*z - 6 - 4. What is the third derivative of -r**4 + 2*r**4 + 30*r**z - 4*r**4 wrt r?
-72*r
Let u be ((-304)/88 + 4)*(1 - -10). Differentiate -106 - u*j**4 - 6*j**3 - 40*j**2 + j**4 + 40*j**2 + 35 wrt j.
-20*j**3 - 18*j**2
Let k(g) = 134*g**3 + 61*g**2 + 2155*g + 11. Let i(u) = 27*u**3 + 12*u**2 + 428*u + 2. Let m(l) = 11*i(l) - 2*k(l). Find the second derivative of m(q) wrt q.
174*q + 20
Let b be ((-42)/77)/((-12)/88). Let x(h) = 81*h**3 - 9*h**2 - 9*h - 52. Let w(j) = j**3 - j**2 - j + 1. Let v(q) = b*x(q) - 36*w(q). Differentiate v(n) wrt n.
864*n**2
Let w(s) be the third derivative of -s**7/21 - s**6/180 - 107*s**4/24 + 19*s**3/3 + 99*s**2. Let o(b) be the first derivative of w(b). Differentiate o(c) wrt c.
-120*c**2 - 4*c
Suppose 58*u - 61*u = -9. What is the derivative of -71*w + 65*w + 5 + w**2 - 113 - u*w**2 wrt w?
-4*w - 6
Suppose -27*f = -25*f + 852. Let o be f/(-30) - 12/(-15). What is the second derivative of -38*v - o*v**2 - 19*v**2 + 4*v**2 wrt v?
-60
Let w(x) be the first derivative of -x**3/3 - 5*x**2 + 15*x + 1. Let c be w(-9). What is the derivative of c*f**2 + 7 + 11 - 46*f**2 + 27*f**2 wrt f?
10*f
Let q(w) be the second derivative of -w**3/2 + 7*w**2 + 14*w. Let r be q(4). Differentiate 10*c**4 + 20 - 5*c**2 + 3*c**r + 2*c**2 wrt c.
40*c**3
Let v(w) be the second derivative of 1/2*w**6 + 1/20*w**5 - 66*w + 0*w**3 + 77/2*w**2 + 0 + 0*w**4. Find the first derivative of v(n) wrt n.
60*n**3 + 3*n**2
Let a(c) = 640*c + 875. Let d(j) = -3*j + 3. Let h(x) = -a(x) + 5*d(x). Differentiate h(o) wrt o.
-655
Let q(h) = 1296*h**3 + 12*h**2 - 48*h - 460. Let g(c) = -c**2 + 4*c + 1. Let m(i) = 12*g(i) + q(i). Differentiate m(p) with respect to p.
3888*p**2
What is the third derivative of -1358*a**2 - 2413*a**4 + 1386*a**4 - 1793*a**4 - 299*a**2 wrt a?
-67680*a
Let a = -95 - -185. Find the third derivative of -6*m**4 + 216*m**2 + 13*m**4 - a*m**2 + 3*m**4 - 2*m**3 wrt m.
240*m - 12
Let i(a) be the first derivative of 1718*a**5/5 - a**2/2 - 8217*a - 6766. Find the first derivative of i(c) wrt c.
6872*c**3 - 1
Let z(o) = 14445*o - 173. Let u(w) = 3615*w - 43. Let c(p) = -15*u(p) + 4*z(p). What is the derivative of c(d) wrt d?
3555
Let b be 4/10 - 416/(-10). Suppose 590 + 1620 = 130*i. Differentiate -b + 3*r - 11*r + i*r with respect to r.
9
Let d(q) = 1039*q**3 - 20*q**2 + 3*q + 117. Let w(n) = 1030*n**3 - 22*n**2 + 4*n + 116. Let f(c) = 4*d(c) - 3*w(c). What is the third derivative of f(p) wrt p?
6396
Suppose -3*c + 107 - 11 = 0. Suppose -c + 38 = 3*o. Find the third derivative of 6*s**5 - 220 + 29*s**o + 220 wrt s.
360*s**2
Let g(m) be the third derivative of 9397*m**5/60 - 8939*m**4/24 + 2969*m**2. Find the second derivative of g(t) wrt t.
18794
What is the second derivative of -372*g**4 + 1756*g - 2896*g - 704*g**4 wrt g?
-12912*g**2
Suppose -128 = -115*h + 113*h. Differentiate -80 + 81*b**2 - h*b**3 - 81*b**2 wrt b.
-192*b**2
Let k(r) = 4*r**2 + 14*r - 34. Let w be k(4). Let c = 88 - w. Find the second derivative of 6*g**c - 7*g + 8*g**2 + 14*g**2 wrt g.
56
Let y(g) be the second derivative of 11*g**3/2 + 105*g**2 - 825*g. Find the first derivative of y(f) wrt f.
33
Find the third derivative of 36*d**2 + 1193*d**4 + 0*d + 36*d**2 - 123*d**2 + 5*d + 44*d**2 wrt d.
28632*d
Suppose 7*f - 31 = 249. Find the second derivative of -21*g**4 + 99*g - f*g - 2*g**4 wrt g.
-276*g**2
Let h(c) = -c**3 + 2. Let p(y) = 219*y**3 + 109. Suppose 10*u + 28 = 17*u. Let q(r) = u*h(r) + p(r). Differentiate q(v) with respect to v.
645*v**2
Suppose 347*j + 20 = 351*j. Find the second derivative of -111*r**j + 222*r**5 - 116*r**5 - 233*r wrt r.
-100*r**3
Let j(q) = q**2 + 2*q + 1. Let h be j(-3). Suppose h*b + b - 4990 = 0. What is the derivative of -998*u - 7 + b*u + u**2 wrt u?
2*u
Let c(v) be the third derivative of 443*v**5/60 - 1133*v**4/24 + 90*v**2 - 8. Find the second derivative of c(b) wrt b.
886
Find the third derivative of -98190 - 2*t**5 + 98190 + 260*t**6 - 1264*t**6 + 634*t**2 wrt t.
-120480*t**3 - 120*t**2
Suppose -5*c - 159 = -399. Suppose 28 = -5*p + c. What is the first derivative of -6*b + p*b**4 - 8*b + 14*b + 12 wrt b?
16*b**3
Let i(j) be the first derivative of 0*j**3 + 122 + 0*j**4 - 3/2*j**2 + 123/5*j**5 + 4*j. Find the second derivative of i(q) wrt q.
1476*q**2
Suppose 157 = z + 154. What is the third derivative of -5*k**2 + 576*k**3 - 691*k**3 - z*k**2 + 15 wrt k?
-690
Let f(l) be the second derivative of -7/3*l**7 - 92*l + 0*l**4 + 27/2*l**3 + 0*l**5 + 0*l**2 + 