*r
Let v(a) be the second derivative of -19*a**7/21 + 51*a**3/2 + 28*a. What is the second derivative of v(x) wrt x?
-760*x**3
Find the second derivative of 46*a**4 - 28*a + 3*a - 67*a + 7*a**4 wrt a.
636*a**2
Let m(g) be the first derivative of -g**5/3 - 17*g**4/8 + 44*g**3/3 - 20. Let j(p) be the third derivative of m(p). Differentiate j(d) with respect to d.
-40
Let y(h) = h**4 + h**2 - h. Let b(v) = 96*v**4 - 3*v**2 + 2*v - 464. Let r(f) = -b(f) - 2*y(f). What is the first derivative of r(g) wrt g?
-392*g**3 + 2*g
Let w be 28/8 - (-6)/4. Suppose -w*f + 5 = -5. What is the third derivative of -7*v**f - 15*v**6 + 4*v**6 + 2 - 2 wrt v?
-1320*v**3
Suppose 14 - 19 = -y. Let m = 9 - y. What is the second derivative of -5*a - 4 + 2*a - 5*a**3 + m wrt a?
-30*a
Let z(y) = -97*y**3 + 5*y**2 - 11*y - 293. Let x(i) = 49*i**3 - 2*i**2 + 5*i + 145. Let g(a) = -5*x(a) - 2*z(a). What is the first derivative of g(f) wrt f?
-153*f**2 - 3
Let p(o) = -44*o**2 - 49*o + 4. Let u(f) = 3*f + 1. Let z(c) = -p(c) + 4*u(c). Find the second derivative of z(h) wrt h.
88
Let s(m) be the second derivative of -119*m**6/30 + 65*m**2 + 65*m. Differentiate s(o) wrt o.
-476*o**3
Let f(p) = -p**4 + p**2 - 2. Let q(u) = -180*u**4 + 3*u**2 - 315*u - 6. Let m(o) = -3*f(o) + q(o). Find the second derivative of m(x) wrt x.
-2124*x**2
Differentiate -10*p**3 + 161 + 130 - 357 + 2*p**4 with respect to p.
8*p**3 - 30*p**2
Let n(y) be the first derivative of -59*y**5/5 - 41*y**3 - 72. What is the third derivative of n(p) wrt p?
-1416*p
Let b(t) = -t + 1. Let n(v) = v**2 + 6*v + 7. Let z be n(-5). Let h(f) = 6 + 6 - 1 + z*f. Let l(p) = -3*b(p) + h(p). What is the first derivative of l(x) wrt x?
5
Let b = -27 - -32. What is the first derivative of b*y + 6*y + 6*y - 3*y + 13 wrt y?
14
Let f be 2/(114/27 - 4). Differentiate -6*o - f*o**3 - 1 + 6*o - 3 with respect to o.
-27*o**2
Let q(u) be the second derivative of -8*u**5 - 16*u**3/3 - u**2/2 - 4*u - 2. Find the second derivative of q(g) wrt g.
-960*g
Let k(d) = d**2 + 18*d - 1. Let r be k(-18). Let l be r + 3 - 3 - -1. What is the first derivative of -9*t**4 + l*t**2 + 1 + 0*t**2 + 7 wrt t?
-36*t**3
Suppose 6 + 22 = 4*l. Let v(q) be the third derivative of -1/12*q**5 - 7/24*q**4 + 0 + 0*q + l*q**2 + 0*q**3. Find the second derivative of v(p) wrt p.
-10
Let o(v) = -9*v**3 + 38*v**2 + 39*v + 3. Let r(z) = 7*z**3 - 41*z**2 - 39*z - 2. Let f(d) = 2*o(d) + 3*r(d). Find the second derivative of f(s) wrt s.
18*s - 94
Let o(r) = 12*r**2 + r - 1. Let m be o(-2). Let d = 224 - 222. Find the third derivative of s**6 - m*s**2 - 9*s**6 + 39*s**d wrt s.
-960*s**3
Suppose 3*d - 12 = 4*a + 18, 3*d - a = 21. Let v be (12 + 2)*6/21. What is the second derivative of 8*l - 3*l**v - 4*l**4 - d*l wrt l?
-84*l**2
Find the third derivative of 12*y**5 - 3*y**2 - 1259*y**3 - 9*y**2 + 1258*y**3 wrt y.
720*y**2 - 6
Let c be 23 - ((0/4)/4 + -3). Find the first derivative of -7*q**2 + c*q**2 + 5*q**2 + 7 - 2 wrt q.
48*q
Let w = 21 - 20. Suppose -w - 1 = -q. Find the second derivative of 2*y - q*y - y - y**5 wrt y.
-20*y**3
Let i = -13 - -79/6. Let y(w) be the second derivative of 1/12*w**4 + 0*w**3 + 0*w**2 + 0*w**5 + 0 - i*w**6 + w. Find the third derivative of y(p) wrt p.
-120*p
Let o(m) be the first derivative of m**6/3 - 93*m**5/5 + m**2/2 - 5*m + 82. Find the second derivative of o(d) wrt d.
40*d**3 - 1116*d**2
Let d(y) be the third derivative of 0*y**7 - 5/8*y**4 + 0*y + 0*y**3 - 4*y**2 + 0*y**6 + 0 + 1/168*y**8 + 0*y**5. Find the second derivative of d(q) wrt q.
40*q**3
What is the first derivative of -15*g - g - 36*g**2 + 144 + 4*g**3 + 16*g wrt g?
12*g**2 - 72*g
What is the third derivative of -11*x**5 + 33*x**2 + 3*x**6 - 8*x**5 - 94*x**2 + x**6 wrt x?
480*x**3 - 1140*x**2
Let o(m) be the second derivative of 0*m**4 + 0 + 0*m**2 + 3/2*m**3 - 4*m - 1/2*m**5. What is the second derivative of o(y) wrt y?
-60*y
Let r = 54 + -51. What is the third derivative of 145*v**r + 30*v**2 - 158*v**3 + 5*v**2 wrt v?
-78
Let j = -33 + 45. Differentiate -10*z**4 - 9*z**4 + 9*z**4 + j wrt z.
-40*z**3
What is the third derivative of -233*l**2 + 55*l**3 + 21*l - 21*l + 42*l**2 + 57*l**3 wrt l?
672
Suppose 3*r + 0*r - f = 69, -f = 4*r - 85. Differentiate -r*j - 7 - 6 - 2 wrt j.
-22
Let b(d) = -3*d**3 - 3*d**2 + d + 1. Let q(w) = -583*w**3 - 6*w**2 + 2*w + 123. Let n(s) = 2*b(s) - q(s). What is the first derivative of n(f) wrt f?
1731*f**2
Let d = 342 + -337. Let f(w) be the first derivative of 5/3*w**3 + 0*w - 3/5*w**d + 0*w**4 + 0*w**2 + 4. Find the third derivative of f(i) wrt i.
-72*i
Let y(l) be the first derivative of 5*l**6/2 + 9*l**2/2 - 57. Find the second derivative of y(p) wrt p.
300*p**3
Suppose -u + 18 = 3*x, -x + 3*x + 5 = 5*u. What is the derivative of -n - n + x*n - n - 13 wrt n?
2
Find the third derivative of -2*m**2 + 27*m + 26*m + 332*m**3 - 62*m wrt m.
1992
Let q = 88 - 60. Find the second derivative of -4 + 12 - q*i - 8 - 11*i**2 wrt i.
-22
Let r(z) = 91*z**5 - 4*z**4 + 14*z**2 + 4. Let p(k) = -90*k**5 + 3*k**4 - 13*k**2 - 3. Let c(v) = 4*p(v) + 3*r(v). Find the third derivative of c(l) wrt l.
-5220*l**2
Let r(t) be the first derivative of -125*t**3/3 - 153*t + 87. What is the derivative of r(j) wrt j?
-250*j
Let k be 2/9 - (-5 - (-116)/36). What is the third derivative of -18*q + 8*q - 17*q**3 + 10*q - 11*q**k wrt q?
-102
Let t(k) = -4*k + 6. Let p(v) = -v + 1. Let y(b) = 3*p(b) - t(b). Let z be y(5). What is the second derivative of -5*c - 5*c**z - 3*c**2 + 7*c**2 wrt c?
-2
Suppose 5 + 19 = 6*l. Find the second derivative of -l*a - 42*a**2 + 2*a + 0*a wrt a.
-84
Let y(k) = 11*k - 71. Let h be y(7). Find the third derivative of 348*x + 2*x**2 + 50*x**3 - 348*x + h wrt x.
300
Let t(s) = -177*s**4 + 3*s**2 - 195*s - 3. Let b(k) = -353*k**4 + 5*k**2 - 390*k - 5. Let w(g) = 3*b(g) - 5*t(g). Find the second derivative of w(o) wrt o.
-2088*o**2
Let r(w) be the third derivative of -53*w**7/210 + 7*w**4/3 + 16*w**2. What is the second derivative of r(i) wrt i?
-636*i**2
Suppose 4*p - 2*y - 30 = 0, 2*p + 3*y - 21 = 6*y. Find the first derivative of -v - v + p + 3*v + 0*v wrt v.
1
Find the second derivative of 21*t - 2 + 2 - 123*t**2 + 9*t**2 wrt t.
-228
Let j(a) be the third derivative of -17*a**5/10 + 125*a**4/12 + 9*a**2 + 3*a. What is the second derivative of j(p) wrt p?
-204
Let c be ((-36)/(-42))/((-1)/(-7)). Suppose -z = -2*m + c, 10 = -4*m + 2*m - 3*z. Find the third derivative of 4 + s**2 + m - 5 - 3*s**6 wrt s.
-360*s**3
Let n = 21 - 17. Differentiate 44*a**4 + 5 + 5 - 33*a**n with respect to a.
44*a**3
Let h(c) be the second derivative of c**7/3 + 5*c**4/12 + c**3/2 - 30*c**2 + 189*c. Find the second derivative of h(s) wrt s.
280*s**3 + 10
Let n(t) = 14*t**2 - 7. Let j(w) = w**2. Let z be 8/32 + 4/(16/(-13)). Let c(k) = z*n(k) + 3*j(k). What is the derivative of c(m) wrt m?
-78*m
Let n(o) be the third derivative of 0 + 0*o**5 - o**2 + 0*o - 23/60*o**6 - 7/6*o**4 + 0*o**3. What is the second derivative of n(i) wrt i?
-276*i
Suppose 4*g - 13 = -3*l + 15, 3*g = 12. What is the first derivative of -5*k + l*k + 4 - 6*k wrt k?
-7
Let g(q) = 3*q - 2*q + 0 - 7. Let h(d) be the third derivative of d**3/3 - 10*d**2. Let k(l) = 2*g(l) + 6*h(l). Find the first derivative of k(s) wrt s.
2
Let m(t) = 46*t**4 + 5*t**3 - 61. Let l = 144 - 146. Let k(d) = -23*d**4 - 2*d**3 + 31. Let a(g) = l*m(g) - 5*k(g). Find the first derivative of a(n) wrt n.
92*n**3
Let n(k) = -k**2 - 3*k + 1. Let g(z) = -198*z**2 + 18*z - 46. Let m(i) = g(i) + 6*n(i). Find the first derivative of m(c) wrt c.
-408*c
Suppose 2*a + 2*u = 14 + 2, 5*a - 4*u - 40 = 0. Differentiate -579 - 9*g + 564 - a*g with respect to g.
-17
Let r(w) = w**4 + 4*w**3 - 57*w - 146. Let f(m) = 5*m**4 + 18*m**3 - 227*m - 584. Let j(q) = -2*f(q) + 9*r(q). Find the first derivative of j(z) wrt z.
-4*z**3 - 59
Let t = 73 + -71. Suppose 0*a = 5*a - 25. What is the second derivative of -6*f + a*f**2 - 4*f**t + 0*f + 6*f**2 wrt f?
14
Let o(y) = -5*y - 3. Let t be o(-3). Let w be t/42 - 24/(-14). Differentiate -1 - 18*h**4 + 11*h**4 - w with respect to h.
-28*h**3
Let f = -13 - -17. Find the third derivative of -8*v**f + 10*v**5 + 5*v**2 + 2*v**4 + 6*v**4 wrt v.
600*v**2
Suppose 67 = 3*k - 68. Find the third derivative of -74*