t**2 + 8
Let q(a) be the third derivative of 0 - 2*a**2 - 1/15*a**6 - 5/12*a**4 + 0*a**5 + 0*a + 0*a**3. What is the second derivative of q(c) wrt c?
-48*c
Suppose 4*x - x = 0. Suppose 0*d + d - 3 = x. What is the second derivative of -z + 4*z + 0*z**3 - 5*z**d - 2*z wrt z?
-30*z
Differentiate -60*c + 76*c + 40*c - 90 + 72*c - 17 wrt c.
128
Suppose -k - 2 = -9. Suppose 3*i = -d + 6, -3*i = 11*d - 6*d - 18. Find the first derivative of 10 + k*a - 4*a - d*a + 9*a**2 wrt a.
18*a
Let t be 10/(-2) + 3 - -14. Suppose t = -3*c - 3*q, -2*c + 8 + 19 = -5*q. Differentiate -4*v + 3 - 1 + 1 + c with respect to v.
-4
Let f(g) be the second derivative of 7*g**4/12 + 2*g**3/3 - 132*g**2 + 181*g. Find the first derivative of f(b) wrt b.
14*b + 4
Let k(p) = p**4 + p**3 + p**2. Let f(u) = 3*u**4 + 117*u**3 - 12*u**2 - 5*u. Let b(h) = f(h) - k(h). Find the third derivative of b(q) wrt q.
48*q + 696
What is the derivative of 184 + 0*p**2 + 2*p**2 - 10*p - 207 wrt p?
4*p - 10
Let r = -9 + 5. Let b = 10 + r. Differentiate -8 + 2*c - b + 7 wrt c.
2
Let v(s) = -s + 1. Let i be v(-1). Suppose -7*k - 5 = -2*k + 5*c, -5*c = 4*k + 8. What is the second derivative of -h - i*h**4 + k*h**4 + h + 6*h wrt h?
12*h**2
Let n(a) = -731*a - 588. Let p(s) = 731*s + 594. Let j(h) = -4*n(h) - 5*p(h). Differentiate j(d) wrt d.
-731
Let f(y) = 2*y**2. Let q = -7 - -8. Let n be f(q). Differentiate 1 + 4 - 9 - n*w wrt w.
-2
Differentiate -7*q**2 - 68 + 184*q**4 + 6*q**2 + q**2 + 0*q**2 wrt q.
736*q**3
Let o(x) be the third derivative of x**9/126 - 23*x**8/112 + 56*x**5/15 - 134*x**2. Find the third derivative of o(l) wrt l.
480*l**3 - 4140*l**2
Let a(m) = 2*m**4 - m**3 - m**2 + m - 1. Let s(n) = 35*n**4 - n**3 + 3*n**2 + n + 6. Let p(x) = -3*a(x) - s(x). What is the second derivative of p(r) wrt r?
-492*r**2 + 24*r
What is the third derivative of -10*p**4 - 30*p**2 + 77*p**2 + 88*p**4 wrt p?
1872*p
Let z = 16 - 15. Let y(a) = 5*a**3 - 2*a + 1. Let f be y(z). What is the second derivative of -d + d**4 - 2*d - d**f + 4*d**5 wrt d?
80*d**3
Let g be (42/5)/(2/10). Let u = g + -29. What is the third derivative of 6*t**4 + 4*t**2 - u*t**4 + 10*t**4 - 5*t**2 wrt t?
72*t
Let t(i) = -i**2 + 1. Let c(w) = 7*w + 18 - 8*w**2 + 19 - 31. Let o(h) = -c(h) + 6*t(h). What is the second derivative of o(x) wrt x?
4
Let u(w) = 15*w**3 + 28*w**2 - 280. Let v(m) = -13*m**3 - 27*m**2 + 283. Let k(z) = -6*u(z) - 7*v(z). Differentiate k(l) with respect to l.
3*l**2 + 42*l
Let a(m) be the first derivative of -131*m**6/2 - 357*m**2/2 - 688. What is the second derivative of a(c) wrt c?
-7860*c**3
Let a(q) = 12*q**5 - 13*q + 4. Let h(n) = 24*n**5 - 27*n + 9. Suppose 6*x + 0*x - 24 = 0. Let y(u) = x*h(u) - 9*a(u). Find the second derivative of y(i) wrt i.
-240*i**3
Suppose 0 = -5*f - 3*b + 59, f - 5*f - 5*b + 42 = 0. Suppose -4*n + 3*c = -3 - 5, n + 4*c = 2. Differentiate -f*w - n - 1 + 8*w + 1 wrt w.
-5
Differentiate -27*j**2 + 496 - 455 + 117*j**2 wrt j.
180*j
Let j(p) be the first derivative of -5*p**6/72 - p**5/12 - 2*p**3/3 - 22. Let c(y) be the third derivative of j(y). Find the second derivative of c(u) wrt u.
-50
Let f(c) = -273*c - 383. Let n(v) = 828*v + 1150. Let p(y) = -17*f(y) - 6*n(y). Find the first derivative of p(g) wrt g.
-327
Suppose -3*k + 3785 = 2*n, -3*n + n = k - 3787. Find the third derivative of -20*i + 8*i**6 - 1895*i**2 + 13*i**6 + n*i**2 wrt i.
2520*i**3
Find the third derivative of -184*p**2 + 131*p**3 + 284*p**2 + 479*p**3 + 529*p**2 wrt p.
3660
What is the third derivative of -5*x**2 - 505*x**4 + 4*x - 501*x**4 + 3*x**3 - 6*x + 1012*x**4 wrt x?
144*x + 18
Let x(g) = -g**3. Let b(l) = -38*l**5 - 4*l**4 - 3*l**3 + 33*l**2. Let w(a) = -b(a) + 3*x(a). Find the third derivative of w(n) wrt n.
2280*n**2 + 96*n
Let p(y) be the third derivative of -449*y**8/336 + 605*y**4/24 - 3*y**2 - 249*y. Find the second derivative of p(m) wrt m.
-8980*m**3
Suppose 0 = -3*s + 3 + 3. Suppose -5*p + 6 = -s*p. Differentiate 12*f**2 - f**p + f**2 + 11 wrt f.
24*f
Let j(m) be the first derivative of 197*m**2/2 - 4*m - 206. Differentiate j(b) with respect to b.
197
Let h(q) = 5*q**3 + 48*q**2 - 655*q + 13. Let i(d) = 2*d**3 + 25*d**2 - 327*d + 6. Let j(g) = 6*h(g) - 13*i(g). What is the second derivative of j(y) wrt y?
24*y - 74
Let z = 45 + -43. What is the third derivative of -2*h**3 + 461*h**2 + z*h**3 - 4*h**6 - 432*h**2 wrt h?
-480*h**3
Let y = -23 - -25. Suppose y*a = -5*q - 2*a + 5026, -2*q + 1996 = -2*a. Differentiate 9 + 2*k**4 + 1002*k**3 - q*k**3 wrt k.
8*k**3
What is the second derivative of -45*r**5 + 2 - 73*r + 20*r - 1 + 125*r**5 + 89*r**5 wrt r?
3380*r**3
Let q(n) = -3*n**3 + 5*n**2 + 2*n - 100. Let k(z) = -2*z**3 + 3*z**2 + z - 51. Let m(d) = 5*k(d) - 3*q(d). Find the first derivative of m(i) wrt i.
-3*i**2 - 1
Let p(v) = -4*v + 5. Let j be (11 - (-3 - -1)) + 1. Let o(h) = -13*h + 16. Let q(a) = j*p(a) - 4*o(a). What is the derivative of q(b) wrt b?
-4
What is the second derivative of 67*r**2 + 249 + 3*r - 555 + 270 wrt r?
134
Let j be 12 + -1 - -2 - -2. Suppose -2*f + 2 + 3 = b, -5*f - 3*b = -j. What is the second derivative of 2*d - 3*d**3 + 2*d + f*d**3 wrt d?
-18*d
Suppose -2*r - 2*n = -8, 4*n - 1 - 15 = 3*r. Find the first derivative of -71*z**2 - 1 + r + 44*z**2 + 59*z**2 wrt z.
64*z
Let d(z) = z**2 + z + 4. Let r be d(0). What is the third derivative of r*x**2 - 4*x**2 + 5*x**5 - 9*x**2 wrt x?
300*x**2
Let s(u) = -1538*u**3 + 102*u. Let z(y) = 513*y**3 - 35*y. Let w(o) = 4*s(o) + 11*z(o). Find the second derivative of w(j) wrt j.
-3054*j
Suppose -v + 16 = 4*k, 4*k - 2*v - 8 = -v. Suppose -k*z + z = -4. Find the third derivative of 3*h**z + 2*h**4 - 2*h**4 + h**4 wrt h.
24*h
What is the second derivative of 172*g**3 + 21 + 2*g - 4*g - 37*g**3 + 47*g**3 - 112 wrt g?
1092*g
Let k be 10/(-4)*(-16)/20. What is the third derivative of 5*g**5 + g**5 - 5*g**2 - 10*g**k + g**2 wrt g?
360*g**2
Let m(w) = -2*w**2 + 8*w + 61. Let v(i) = -2*i**2 + 9*i + 60. Let j(h) = 3*m(h) - 2*v(h). What is the derivative of j(b) wrt b?
-4*b + 6
Let f(v) be the third derivative of -17*v**2 - 3/40*v**6 + 0*v**5 + 0*v + 3*v**3 + 0*v**4 + 0. What is the first derivative of f(q) wrt q?
-27*q**2
Find the third derivative of 16*b + 19*b**6 - 17*b**4 - b**2 + 31*b**4 - 14*b**4 wrt b.
2280*b**3
Let a(t) be the second derivative of t**8/56 - t**4/3 - 7*t**2 - 10*t. Let b(z) be the first derivative of a(z). Find the second derivative of b(u) wrt u.
120*u**3
Let l(w) = 2*w - 3*w + 21 - 25. Let a be l(-6). Find the second derivative of 3*m - 2*m**2 - 5*m**2 + 2*m**a + 2*m wrt m.
-10
What is the third derivative of 65*k**4 + 6*k**2 + 44*k**2 - 28*k**4 wrt k?
888*k
Let o(h) be the first derivative of -70*h**3/3 + 15*h**2 - 99. Find the second derivative of o(x) wrt x.
-140
Let h(w) = -w**5 - w**4. Let y(t) = 99*t**5 + 3*t**4 - 2*t**3 - 111*t**2. Let m(r) = 3*h(r) + y(r). What is the third derivative of m(z) wrt z?
5760*z**2 - 12
Let x(j) = -323*j**4 - 10*j**3 - 5*j**2 + 5*j - 55. Let a(i) = 324*i**4 + 8*i**3 + 4*i**2 - 4*i + 54. Let p(y) = 5*a(y) + 4*x(y). Differentiate p(s) wrt s.
1312*s**3
Let m(y) = -8*y**3 - y**2 + 1. Let p be m(-1). Find the first derivative of -21*f**3 + p*f**3 - 10*f**3 + 5 wrt f.
-69*f**2
Let h = -2078 + 3524. What is the second derivative of 1423*v**3 + 0 + 0 - h*v**3 - 10*v wrt v?
-138*v
Let s = 4 - 0. Suppose 5*f - 20 = 4*v, 0 = -4*f + s*v - 2*v + 10. What is the third derivative of -b**2 + 4*b**2 + f*b**4 + b**4 + 2*b**4 wrt b?
72*b
Let a = 1091 + -1087. Let b(x) be the first derivative of 8 - 4/5*x**5 + 0*x**a + 0*x**2 - 8/3*x**3 + 0*x. What is the third derivative of b(r) wrt r?
-96*r
Find the first derivative of 34404*m + 1 - 34404*m - 94*m**3 wrt m.
-282*m**2
Let l be (-17)/6 - (-1)/(-6). Let a be (0 - 12)/l*1. What is the second derivative of 2*c**2 + 2*c**2 + 2*c**2 - a*c**2 + c wrt c?
4
Suppose 4*t - 13 + 1 = 0. Differentiate -21 + 5*a**2 - a**2 - a**2 + t wrt a.
6*a
Suppose -2 = -6*b + 5*b. What is the third derivative of f**4 - 2*f**2 + 9*f**b - 3*f**4 + 5*f**2 wrt f?
-48*f
Let k = 28 - 26. What is the first derivative of -25*g + 21 - 5*g**2 + 25*g - 2*g**k wrt g?
-14*g
Let m(j) be the second derivative of 48*j + 20*j**2 - 22/3*j**3 + 0. Differentiate m(s) wrt s.
-44
Let y(c) = 1522*c**3 