. Suppose 2*p - 15 = -5*m, 3*p + w - 17 = m. What is the derivative of 2*u**2 - 1 + 4*u**2 - 4*u**2 + p wrt u?
4*u
Let i(a) be the third derivative of -a**7/70 - 7*a**6/10 + 305*a**3/6 + 570*a**2. Find the first derivative of i(w) wrt w.
-12*w**3 - 252*w**2
Let y(q) be the second derivative of -q**5/60 - 3*q**4/8 - 5*q**3/3 + 16*q. Let n(d) be the second derivative of y(d). Differentiate n(p) with respect to p.
-2
Let g(q) = -1117*q**4 + 15*q**3 + 5*q**2 - 85. Let c(o) = -558*o**4 + 9*o**3 + 3*o**2 - 43. Let i(w) = 5*c(w) - 3*g(w). Find the first derivative of i(s) wrt s.
2244*s**3
Let x be -8 + 9 - (-1 - 2). Suppose x = -l + 3*l. What is the derivative of -3 - 2 - 2*h**l + h**2 wrt h?
-2*h
Let f(m) be the third derivative of -22*m**7/35 - m**5/12 - 118*m**2. What is the third derivative of f(d) wrt d?
-3168*d
Let o(y) = -338*y**2 + 4*y - 65. Let p(w) = 677*w**2 - 7*w + 127. Let h(g) = 5*o(g) + 3*p(g). What is the second derivative of h(n) wrt n?
682
Let g(b) = b - 10. Let t be g(12). Let a(f) = 8*f - 1. Let x be a(1). Find the first derivative of 4*n + x - 5*n + 5*n - t wrt n.
4
Let r(s) = 66*s**3 + 4*s**2 - 4*s + 12. Let g(t) = -2*t**3 - t**2 + t - 1. Let q(u) = -4*g(u) - r(u). Differentiate q(y) wrt y.
-174*y**2
Suppose 60 = -18*f + 114. Let h(w) be the third derivative of 13/6*w**f + 8*w**2 + 1/10*w**5 + 0*w**4 + 0 + 0*w. What is the first derivative of h(g) wrt g?
12*g
Let f(q) be the second derivative of 0*q**6 + 0*q**2 - 7/6*q**3 - 3/14*q**7 + 0*q**4 + 13*q + 0 + 0*q**5. Find the second derivative of f(x) wrt x.
-180*x**3
Suppose -5*a - 25 + 150 = 0. Find the second derivative of -18*r**4 - 6*r - 3*r**4 + a*r wrt r.
-252*r**2
Let m(d) be the third derivative of d**7/105 - d**5/12 - 57*d**4/8 + 91*d**2. What is the second derivative of m(b) wrt b?
24*b**2 - 10
Let r(s) = s**3 - 1. Let a be (6/(-9))/(2/(-18)). Let q(y) = -9*y**3 + 13*y + 6. Let z(c) = a*r(c) + q(c). What is the second derivative of z(t) wrt t?
-18*t
Let x(l) = -75*l - 5. Let n(j) = 28*j - 27 + 10*j + 58 - 29. Let w(d) = -5*n(d) - 3*x(d). Differentiate w(h) with respect to h.
35
Let i(v) be the first derivative of v**5/5 - 5*v**3/3 - 551*v**2/2 - 92. What is the second derivative of i(k) wrt k?
12*k**2 - 10
Let v = 20 + -17. Find the third derivative of v + 4*s**2 - 111*s**5 + 0 + 145*s**5 + 0 wrt s.
2040*s**2
Find the third derivative of 7*d**2 + 75 - 5953*d**4 + 5953*d**4 - 409*d**5 - 2*d**2 wrt d.
-24540*d**2
What is the second derivative of 13*s**3 + 1 + 83*s**3 + 17*s**3 + 0 + 36*s**3 + 79*s wrt s?
894*s
Let r(y) be the first derivative of y**6/24 - y**5/6 + 41*y**3/3 + 33. Let j(k) be the third derivative of r(k). Find the second derivative of j(p) wrt p.
30
Let u(d) = 107*d**2 + 5*d - 241. Let l(k) = 213*k**2 + 9*k - 480. Let s(q) = -5*l(q) + 9*u(q). Find the first derivative of s(y) wrt y.
-204*y
Let i(l) be the first derivative of 53*l**6/3 - 17*l**3/3 - 2*l + 64. Find the third derivative of i(m) wrt m.
6360*m**2
Let o = -86 - -119. Find the second derivative of 15 + o*i + 19 - 9*i**2 - 34 wrt i.
-18
Let k(t) = 1 + 0*t**2 + t**2 + 3*t + 4*t - 2. Let u be k(-8). Find the second derivative of 7*q**5 - u*q + 2*q - 2*q**5 wrt q.
100*q**3
Let p(x) be the third derivative of 8*x**5/5 - 34*x**3/3 + 90*x**2. What is the derivative of p(k) wrt k?
192*k
Let d(a) be the second derivative of -53/2*a**2 + 0*a**3 - 5/6*a**4 + 15*a + 3. What is the derivative of d(q) wrt q?
-20*q
Let t(i) = -i**4 - i**3 + 1. Let j(g) = -14*g**5 - 7*g**4 - 7*g**3 + 27*g**2 - 395*g + 7. Let u(z) = j(z) - 7*t(z). Find the second derivative of u(q) wrt q.
-280*q**3 + 54
Let a(o) = 7*o + 8. Let r(i) = -20*i - 23. Let s be 1/(-3)*(-5 - -2). Suppose 2*p - 7 = -s. Let z(w) = p*r(w) + 8*a(w). Differentiate z(m) wrt m.
-4
Let s(k) = k**3 + k**2 + k + 1. Let q(o) = 5*o**4 - 2*o**3 - 2*o**2 - 8. Let h(f) = -q(f) - 2*s(f). Differentiate h(b) wrt b.
-20*b**3 - 2
Differentiate 93*g**4 - 52 - 259*g**2 + 259*g**2 with respect to g.
372*g**3
Let l(i) be the third derivative of i**7/70 + 5*i**4/24 + 49*i**3/6 + 34*i**2 - 2. What is the first derivative of l(n) wrt n?
12*n**3 + 5
Let i(m) be the third derivative of 0*m**5 + 11/2*m**3 + 0*m + 1/21*m**7 + 0*m**4 + 0 - 27*m**2 + 0*m**6. Differentiate i(g) wrt g.
40*g**3
Suppose -t + 0*p = p + 7, 3*t = -2*p - 18. Let q(u) = -3*u + 6. Let j(m) = -2*m + 6. Let l(h) = t*q(h) + 5*j(h). What is the derivative of l(o) wrt o?
2
Let i(n) be the third derivative of -1/40*n**6 + 0 + 0*n**3 - 20*n**2 + 1/20*n**5 + 0*n + 0*n**4. What is the third derivative of i(y) wrt y?
-18
What is the first derivative of -19 - 31*d**4 - 4*d + 5*d + 2*d + 0*d wrt d?
-124*d**3 + 3
Let a(q) be the third derivative of -37*q**8/84 + q**7/210 - 159*q**5/20 - q**2 + 49. What is the third derivative of a(b) wrt b?
-8880*b**2 + 24*b
Let j(m) = -m - 9. Let u(p) = 2*p + 10. Let i(z) = -3*j(z) - 2*u(z). Let c be i(5). Find the third derivative of 5*s**2 - 5*s**c + 5*s**5 + s**2 wrt s.
300*s**2
Differentiate 90 + 0*a**2 + 10 - 4*a**2 + 33*a - 40*a wrt a.
-8*a - 7
Let o(k) = 886*k**2 + 22*k - 276. Let h(j) = 295*j**2 + 8*j - 92. Let u(s) = -11*h(s) + 4*o(s). Differentiate u(m) with respect to m.
598*m
Let w(s) be the second derivative of -2/3*s**3 + 0*s**6 + 0 + 0*s**5 - 3/14*s**7 - 9*s + 0*s**4 + 0*s**2. What is the second derivative of w(b) wrt b?
-180*b**3
Find the second derivative of 451*q**2 - 632*q + 124*q**4 - 451*q**2 + 12*q**4 wrt q.
1632*q**2
Suppose 2*m - 24 = -4*y, -3*m - 3*y + 1 = -4*y. Let z = -6 + 8. Find the second derivative of -z*d - 2*d + d**m - d wrt d.
2
Let h = 3 - -1. Suppose -h*i = -4*q - 36, i - 18 = 5*q + 11. Find the second derivative of i*v - 8*v**5 + 9*v**5 - 8*v**5 wrt v.
-140*v**3
Let w(r) = 10*r + 1. Let p(q) = -11*q. Let g = -19 - -7. Let b be (g - -10) + 3/(-1). Let n(m) = b*w(m) - 4*p(m). What is the first derivative of n(y) wrt y?
-6
Let p = 10 - 14. Let h be 81/15 + p/10. What is the second derivative of h*o + o**3 + 3*o**3 + 4*o**3 - 5*o**3 wrt o?
18*o
Let j(o) be the second derivative of -16*o**5/5 - 149*o**4/12 + 2*o - 6. What is the third derivative of j(m) wrt m?
-384
Let w(j) be the third derivative of -j**8/280 + j**4/6 + j**3 + 27*j**2. Let f(u) be the first derivative of w(u). What is the derivative of f(c) wrt c?
-24*c**3
Let f(q) be the third derivative of 19/60*q**5 - 1/2*q**3 + 14*q + 2*q**2 - 5/24*q**4 + 0. Find the second derivative of f(o) wrt o.
38
Let t(b) = 41*b**3 + 6*b**2 - 95*b - 6. Let k(f) = -84*f**3 - 13*f**2 + 190*f + 13. Let m(u) = -6*k(u) - 13*t(u). Find the second derivative of m(p) wrt p.
-174*p
Find the second derivative of 143 + 26*l**2 - 153*l**2 - l - 166*l**2 + 3*l wrt l.
-586
What is the second derivative of 21*i + 23*i - 773*i**5 - 13*i - 3 - 51*i**5 wrt i?
-16480*i**3
What is the second derivative of 731 + 2*b**4 - 62*b**2 - 731 - 277*b wrt b?
24*b**2 - 124
Let k(z) = 2*z**3 - z**2 + 2*z. Let o be k(1). Find the second derivative of 7*c**o - 30 + 30 - 21*c wrt c.
42*c
Let d(q) = 3*q**2 - 9*q - 281. Let y(j) = -2*j**2 + 7*j + 283. Let u(f) = 3*d(f) + 4*y(f). Find the first derivative of u(k) wrt k.
2*k + 1
Let t(m) be the first derivative of m**6/20 + 5*m**4/4 + 23*m**2/2 + 26. Let y(k) be the second derivative of t(k). Find the second derivative of y(q) wrt q.
36*q
Let b(g) be the first derivative of -229*g**5/5 + 113*g**3/3 + 124. What is the third derivative of b(j) wrt j?
-5496*j
Let x(u) = -3*u - 1. Let q be x(4). Let w be 10/(-65) - 41/q. Differentiate -4 - w*d - d + 2*d - 4*d wrt d.
-6
Let a(u) be the third derivative of -u**8/210 + u**4/3 - 5*u**3/2 - 3*u**2. Let f(j) be the first derivative of a(j). What is the derivative of f(v) wrt v?
-32*v**3
What is the third derivative of 23 - 270*x**2 + 92*x**5 - 8 + 296*x**5 - 15 wrt x?
23280*x**2
Suppose 0 = 8*w - 2*w. Suppose -3*a + 5 = i - 6*i, w = 2*a - i - 1. Find the third derivative of o**2 - 5*o**4 + a*o**4 - 7*o**2 wrt o.
-120*o
Let m(f) = -2*f**4 + f**3 - f**2 + 1. Let x(r) = -23*r**4 - 5*r**3 + 5*r**2 - 105. Let c(q) = -5*m(q) - x(q). Differentiate c(k) wrt k.
132*k**3
Suppose -y - 4 = 0, 3*y = -2*o + 7*y + 28. Differentiate -7*a**3 - 8 + 36 + o*a**3 with respect to a.
-3*a**2
Let y(o) = -1540*o**2 - 28*o + 532. Let z(x) = 513*x**2 + 10*x - 178. Let h(d) = -5*y(d) - 14