 + 3*m**3 wrt m?
9*m**2
Let i(p) be the first derivative of -p**3/3 - 11*p**2/2 - 2100*p - 2038. What is the first derivative of i(l) wrt l?
-2*l - 11
Find the first derivative of 479*v**4 + 1087 + 412*v**4 + 135*v**4 wrt v.
4104*v**3
Find the second derivative of -2617*g - 420*g**4 + 18*g**2 - 18*g**2 - 2488*g**4 + 5 + 2528*g wrt g.
-34896*g**2
Let j = 649 - 644. What is the second derivative of 2065*k - 1929*k + 262*k**j - 35*k**5 wrt k?
4540*k**3
Find the third derivative of -71*c**2 - 158*c**2 - 138*c**2 + 991*c**3 - 153*c**2 + 31*c**3 wrt c.
6132
Let a(v) = -v**2 - 11*v - 2. Suppose -5*p + 0*j - j = 49, -p - 5*j - 5 = 0. Let x be a(p). Find the second derivative of -17*r + x*r**3 + 569 - 569 wrt r.
48*r
Let f(s) be the second derivative of 1613*s**5/20 + 767*s**4/2 - 29*s + 37. Find the third derivative of f(n) wrt n.
9678
Let p(b) be the second derivative of b**2 + 1/20*b**5 - 17/30*b**6 + 26*b - 5/6*b**3 + 0 + 0*b**4. Find the second derivative of p(y) wrt y.
-204*y**2 + 6*y
Let g(j) be the first derivative of 33 + 0*j**4 + 0*j + 117/2*j**2 + 0*j**3 + 47/5*j**5. What is the second derivative of g(h) wrt h?
564*h**2
Let p(z) be the third derivative of -749*z**7/30 - 247*z**4/8 - z**3/6 - 9355*z**2. Find the second derivative of p(j) wrt j.
-62916*j**2
Let m(g) be the third derivative of 0*g**3 + 0*g**6 + 26*g + 0*g**4 - 29/105*g**7 + 0 - 29/30*g**5 - g**2. What is the third derivative of m(r) wrt r?
-1392*r
Suppose 81 = 2*t - 5*o, 2*t = 3*t + 3*o - 24. Let q = -25 + t. What is the first derivative of -4 - 4 + 10 + q*y + 18*y wrt y?
26
Let a(p) be the third derivative of -59*p**7/105 + p**6/20 - p**5/3 + p**4/24 - 171*p**2. Find the third derivative of a(j) wrt j.
-2832*j + 36
Let z(v) = -5*v + 54. Let g(i) = -4*i + 54. Suppose r + 20 = 4*s, -s - 5*r + 10 = 5. Let a(q) = s*g(q) - 6*z(q). Differentiate a(n) wrt n.
10
What is the third derivative of -13*y**5 + 5*y**2 - 2 - 19*y + 0 + 54*y**5 + 3126*y**4 - 40*y**5 wrt y?
60*y**2 + 75024*y
Let v(b) be the first derivative of -2401*b**6/3 + 3325*b**2/2 - 2218. Find the second derivative of v(u) wrt u.
-96040*u**3
Let q(r) be the second derivative of 473*r**6/30 - r**4/6 - 895*r**2 - 1704*r + 1. What is the first derivative of q(g) wrt g?
1892*g**3 - 4*g
Let g(u) be the second derivative of -295*u**8/8 - u**4/12 + 121*u**3 + 2805*u. What is the third derivative of g(n) wrt n?
-247800*n**3
What is the third derivative of 9*c**3 - 333*c - 13*c**4 + 334*c + 4 - 19*c**2 - 61*c**3 + c**3 + 25*c**3 wrt c?
-312*c - 156
Let g(b) = 2*b**3 - 25*b**2 - 15*b + 22. Let l be g(13). Let z = l + 7. What is the third derivative of -17*c**2 - c**2 + 10*c**2 - 16*c**z - 15*c**2 wrt c?
-96
Let x(b) = 6*b**2 - 3*b - 2. Let l be x(-1). Suppose 12 - l = o. What is the second derivative of -d**5 + 3*d**o - 9*d + 2*d**5 - 2*d wrt d?
80*d**3
What is the first derivative of -196*s - 89 - 487 - 752 - 307*s - 189*s wrt s?
-692
Let x(y) = -196*y + 248. Let r(f) be the second derivative of -97*f**3/3 + 125*f**2 - 61*f. Let d(s) = 2*r(s) - 3*x(s). Differentiate d(w) wrt w.
200
Let h(n) be the second derivative of 0*n**5 - 29/4*n**4 + 0*n**2 - 1 + 15/56*n**8 + 0*n**6 + 0*n**3 + 0*n**7 + 34*n. What is the third derivative of h(m) wrt m?
1800*m**3
Let u(i) be the first derivative of -195*i**5 - 295*i**3 + 1937. What is the third derivative of u(c) wrt c?
-23400*c
Let v(c) = -4*c**2 - 17*c + 3. Let u be v(-4). What is the second derivative of -41*d + 142*d + 2*d**5 - u*d**3 - 13*d**3 + 6*d wrt d?
40*d**3 - 120*d
Let f = 14 + -9. Suppose b - 4*x = -5, f*x + 35 = -2*b + 6*b. What is the third derivative of -b*k**2 - 4*k**2 - k**2 - k**5 + 13*k**5 wrt k?
720*k**2
Let j(g) be the second derivative of -97*g**6/10 - 1201*g**4/12 + 433*g. Find the third derivative of j(c) wrt c.
-6984*c
Suppose 0 = -23*q + 30*q - 21. Find the second derivative of -31*l**3 + 108*l - 64*l**3 + 17*l**3 - 28*l**q wrt l.
-636*l
Find the first derivative of -10982*p + 816 + 693 - 2145 + 1291 wrt p.
-10982
Let k(m) = -8944*m**2 - 4690*m + 6. Let f(j) = 26843*j**2 + 14072*j - 17. Let t(c) = -6*f(c) - 17*k(c). Find the second derivative of t(i) wrt i.
-18020
Let p(a) be the second derivative of 1/10*a**5 + 135*a - 1/21*a**7 + 0 - 1/4*a**4 + 0*a**6 + 2*a**2 + 0*a**3. What is the third derivative of p(v) wrt v?
-120*v**2 + 12
Suppose 2717 = 8*z - 5435. Differentiate -181*r**3 + 1974 - 1018 - z + 10*r**3 with respect to r.
-513*r**2
Let x be 37/7 - ((-64)/(-56))/4. Find the third derivative of 36*t**2 - 5*t**4 - 15 - 172*t**6 + 13 - 155*t**2 + x*t**4 wrt t.
-20640*t**3
What is the third derivative of -397*r**5 + 450 - 1424 - 390*r**2 + 5*r + 389*r**2 - 5*r - 6*r**4 + 3*r wrt r?
-23820*r**2 - 144*r
What is the second derivative of 0*a**2 - 370*a - 38*a - 357*a - 8*a**2 - 2 - 32*a**4 + 2*a**2 wrt a?
-384*a**2 - 12
Let l = 413095/12 + -34421. Let y(d) be the second derivative of 0 + 0*d**3 - 11*d**2 - 36*d + l*d**4. What is the first derivative of y(i) wrt i?
86*i
Suppose 4*y = -5*g + 17, -g - 5*y - 7 = -2. Suppose -49 = -4*l + g*m, 1 = -4*l - 2*m + 15. Find the second derivative of l*u + 20*u**2 - 17*u + 6*u wrt u.
40
Let y(u) = 32*u**2 + 6*u - 6. Let j be y(1). Find the second derivative of -s**4 + 18*s + 80*s + j*s + 0*s**4 + 33*s**3 - 38*s wrt s.
-12*s**2 + 198*s
Let x(p) be the third derivative of 73*p**6/120 + p**4/3 - 101*p**3/6 + 2292*p**2. Find the first derivative of x(y) wrt y.
219*y**2 + 8
Let f(p) = -1. Let h(n) = 6*n**2 - 10. Let a be (4/8)/(-2*(-2)/(-512)). Let l = -66 - a. Let i(s) = l*h(s) + 4*f(s). Differentiate i(c) wrt c.
-24*c
Let b = -1 + -7. Let m(v) = -v**2 - 6*v + 28. Let z be m(b). What is the derivative of z*h**2 + 14*h + 10*h**2 + 22 - 14*h wrt h?
44*h
Let f(n) be the first derivative of 12*n**3 + 97*n**2/2 - 87*n - 61. Let q(l) be the first derivative of f(l). Differentiate q(d) with respect to d.
72
Suppose 8*q - 68 = -4*p + 5*q, -2*p = -4*q - 34. Find the second derivative of 16*b**2 + 39*b - 15*b**2 + 10*b - 26*b**2 - p*b**2 wrt b.
-84
Let v(i) = 3091*i**2 - 3*i + 623. Let y(w) = 2058*w**2 - 2*w + 416. Let p(j) = 10*v(j) - 14*y(j). Find the second derivative of p(r) wrt r.
4196
Let g(c) = 219*c - 729. Let w(b) = -199*b + 729. Let z(x) = -9*g(x) - 8*w(x). Differentiate z(f) with respect to f.
-379
Let q(x) be the second derivative of x**7/21 + x**6/30 - 7*x**5 + x**4/3 - 7*x**3/6 + 39*x**2/2 - 3056*x. What is the third derivative of q(v) wrt v?
120*v**2 + 24*v - 840
Let b(l) be the second derivative of -4037*l**8/28 + 7*l**4/12 - 16*l**3/3 + 6649*l. What is the third derivative of b(o) wrt o?
-968880*o**3
Let v(q) = 166*q**3 + 1226*q**2. Let j(z) = z**2. Let a(y) = -7*j(y) + v(y). What is the third derivative of a(b) wrt b?
996
Let o(v) = 64*v**3 - 30*v**2 + 675*v + 8. Let k(a) = 128*a**3 - 61*a**2 + 1351*a + 17. Let g(b) = 8*k(b) - 17*o(b). Find the second derivative of g(j) wrt j.
-384*j + 44
Let l be 4*((-28)/8 + (0 - -4)). Find the second derivative of -133*n - 16*n - 12*n - 198*n**l - 36*n wrt n.
-396
Suppose -4*h - 16 = -2*t, 4*t - 5*t = -3*h - 11. What is the second derivative of -3*a + 0*a**2 + 9*a**5 + 4*a**t + 5 - 5*a**5 - 8*a**5 wrt a?
-80*a**3 + 8
Let p(n) = -2*n**2 - 2*n + 4. Let w(b) = -10*b**2 + 7*b - 1199. Let u(y) = 6*p(y) + w(y). Differentiate u(t) wrt t.
-44*t - 5
Let r(v) be the second derivative of v**7/3 + 13*v**5/20 + v**4/12 - v**3 + 79*v**2/2 - 10*v + 9. Find the second derivative of r(a) wrt a.
280*a**3 + 78*a + 2
Let c(a) = a + 114. Let l be c(-16). Find the second derivative of -b - 5 - l*b**2 - 6*b + 1 - 6*b wrt b.
-196
Suppose -3*f + 3*r + 108 = 0, -11*r + 15*r - 180 = -5*f. Find the third derivative of 97*l**3 - l - 3*l**2 + 2*l**2 - 5*l - f*l**3 wrt l.
366
Suppose y - 3*y = -62. Suppose 11 = -5*p + y. Differentiate -282*h**p + 273*h**4 + 12 + 15 wrt h.
-36*h**3
What is the second derivative of -306*h**2 + h**4 - 377 + 14*h - 372 + 0*h + 801 wrt h?
12*h**2 - 612
Suppose -8*p + 9*p + 4*w = -6, 0 = 5*p - 5*w - 20. What is the second derivative of -p + 57*u**3 - 33*u**3 + 21*u**2 - 21*u**3 - 133*u wrt u?
18*u + 42
Let z(a) be the second derivative of -227*a**3/2 - 462*a**2 + 19*a + 17. Find the first derivative of z(x) wrt x.
-681
Let o(g) = -38*g - 16. Let d be o(-4). Let w be 4/(-6) + d/24. Find the sec