 - 1. Differentiate 4*m**2 - 4*m**2 - 10 + 20*m**4 + s*m**4 wrt m.
92*m**3
What is the first derivative of -7*o + 467 - o**2 - 676 - 3*o**2 wrt o?
-8*o - 7
Let p = -39 - -42. Let l(x) be the first derivative of 8*x**2 - 6*x**2 - p*x**2 - 3*x**2 + 14 - 7*x. Differentiate l(q) with respect to q.
-8
What is the third derivative of 264*d**6 - 164*d**2 - 14393*d**5 + 14393*d**5 wrt d?
31680*d**3
Find the third derivative of 116*v - 35*v**2 - 116*v - 13*v**2 - 181*v**2 + 103*v**4 wrt v.
2472*v
Let s(u) = u + 10. Let f(y) = y**2 + 6*y + 2. Let t be f(-3). Let x be s(t). What is the derivative of -6 + 3 - 4*c**x + 2 wrt c?
-12*c**2
Let l(t) = -2*t**2 + 22. Let s be l(-3). Let i(n) be the first derivative of 2*n + 0*n**3 + 0*n**2 + 1/4*n**4 - s. What is the first derivative of i(k) wrt k?
3*k**2
Suppose -3*x + 15 = 2*x. Differentiate -3*f**3 + 3*f**3 - 9*f**x - 13 wrt f.
-27*f**2
Let p = 2 - -2. Let x = -165 + 174. What is the second derivative of 9*c - 8*c - x*c - c**p wrt c?
-12*c**2
Let g be -2 + (0 - -1) + 0. Let t = g + 5. What is the second derivative of 5*s**5 + 0*s**4 + 7*s**4 + 5*s - 7*s**t wrt s?
100*s**3
Let p(y) = -3*y. Let g = 43 + -49. Let a(o) = 3*o**2 + 1 - 4*o**2 - 1. Let q(v) = g*a(v) - p(v). What is the second derivative of q(n) wrt n?
12
Let a(w) be the second derivative of 5/56*w**8 + 7/12*w**4 + 0*w**7 + 0*w**2 - 15*w + 0 + 0*w**3 + 0*w**6 + 0*w**5. What is the third derivative of a(c) wrt c?
600*c**3
Let y(c) be the third derivative of -c**6/60 - c**5/10 - 68*c**3/3 + 3*c**2 - 20*c. What is the derivative of y(m) wrt m?
-6*m**2 - 12*m
Let x(h) = -1580*h + 1155. Let a(s) = -93*s + 68. Let c(b) = 35*a(b) - 2*x(b). What is the derivative of c(p) wrt p?
-95
What is the first derivative of -16 + 77 - 17*x**4 - 36*x**4 wrt x?
-212*x**3
Differentiate -15*l + 19*l**4 - 76*l**4 - 18*l - 232 + 33*l with respect to l.
-228*l**3
Let n(a) = -13*a**2 + 14*a + 2. Let j(z) = -z**2 + z + 1. Suppose -4*t = -6*t + 2. Let q(i) = t*n(i) - 2*j(i). What is the second derivative of q(h) wrt h?
-22
Let i(y) be the third derivative of -58*y**7/105 + y**6/30 - 153*y**3/2 - 807*y**2. Find the first derivative of i(s) wrt s.
-464*s**3 + 12*s**2
What is the second derivative of -203 + 406 - 204 + 414*r**3 - 3*r - 2*r wrt r?
2484*r
Let h(j) be the second derivative of j**9/5040 + j**6/60 + 5*j**4/3 - 22*j. Let m(q) be the third derivative of h(q). Find the second derivative of m(c) wrt c.
36*c**2
Let j(n) be the second derivative of -103*n**7/42 - 13*n**3/3 + 3*n**2/2 + 41*n. Find the second derivative of j(p) wrt p.
-2060*p**3
Find the first derivative of -29 - 12 + 2*k**3 + 36*k**3 - 34 wrt k.
114*k**2
Let o(t) be the first derivative of -145*t**7/7 - 97*t**3/3 - 84. What is the third derivative of o(f) wrt f?
-17400*f**3
Let u(y) be the third derivative of -y**5/60 + 35*y**4/12 + 11*y**3/2 + 29*y**2 + y. What is the first derivative of u(h) wrt h?
-2*h + 70
Suppose 0 = -15*h + 14*h. Let l(u) be the first derivative of h*u**5 + 0*u**4 + 0*u**2 + 0*u - 5/6*u**6 - 3 - 2/3*u**3. Find the third derivative of l(d) wrt d.
-300*d**2
Suppose -4*k - t + 3*t + 20 = 0, -t + 18 = 5*k. What is the second derivative of 11*a**4 - 13*a**4 - 5*a**k + 20*a wrt a?
-84*a**2
Let l(x) be the second derivative of 95*x**4/6 - 110*x**3/3 + 220*x. What is the second derivative of l(j) wrt j?
380
Let m(c) = c**2 - 7*c - 3. Let i be m(8). Let r be i/(-3)*9/(-3). Find the second derivative of -d**5 + 53*d**2 + 6*d**5 - 53*d**2 + r*d wrt d.
100*d**3
Let m(i) be the third derivative of 101*i**7/105 + 177*i**5/20 - 491*i**2. What is the third derivative of m(v) wrt v?
4848*v
Let u(f) be the first derivative of -11/4*f**4 + 0*f**2 + 0*f**3 - 10 - 32*f - 2/5*f**5. What is the first derivative of u(o) wrt o?
-8*o**3 - 33*o**2
Suppose -6*z = -2*z - 16. Suppose -z*r + 21 - 5 = 0. Differentiate 4*l**3 + 19*l**r - 4*l**3 - 17*l**4 + 5 with respect to l.
8*l**3
Let k(f) be the third derivative of -59*f**6/120 + 61*f**5/30 - 9*f**2. Find the third derivative of k(l) wrt l.
-354
What is the third derivative of 2 + 18*x**2 + 29*x**4 + 58*x**4 - 5*x**4 wrt x?
1968*x
Let o be 8/(-24) + 14/6. Differentiate o*m**2 - 7 - 138*m + 138*m - 4*m**2 wrt m.
-4*m
Let m(c) = c**4 + 2*c**3 + c**2 - c. Let i(u) = 34*u**4 - 12*u**3 - 6*u**2 + 6*u - 53. Let f(d) = -i(d) - 6*m(d). Differentiate f(s) wrt s.
-160*s**3
Let w(o) = -18*o**2 + 7*o. Let n(d) = 19*d**2 - 8*d. Let f = 44 - 49. Let b(z) = f*n(z) - 4*w(z). What is the second derivative of b(i) wrt i?
-46
Let b(h) be the second derivative of 0 + 0*h**3 - 2*h - 1/2*h**2 + 1/2*h**4. Let d(f) = -1. Let p(v) = b(v) - 2*d(v). Differentiate p(q) with respect to q.
12*q
Let p(n) be the third derivative of -23*n**7/35 - n**4/4 - 13*n**3/6 - 218*n**2. Find the second derivative of p(r) wrt r.
-1656*r**2
Find the second derivative of -3789*i + 71*i**2 + 19 - 26 - 4*i**4 + 3788*i + 116 wrt i.
-48*i**2 + 142
Differentiate -226 - 38 - a + 19*a + 43 with respect to a.
18
Let i(x) be the third derivative of 5*x**8/1344 - 13*x**5/60 - 49*x**4/24 - 24*x**2. Let t(f) be the second derivative of i(f). Differentiate t(n) wrt n.
75*n**2
Let a(p) be the third derivative of 0 - 11/20*p**5 + 11/168*p**8 + 0*p**6 + 0*p**3 + 0*p**4 + 0*p**7 + 41*p**2 + 0*p. Find the third derivative of a(h) wrt h.
1320*h**2
Suppose 16*f - 10 = 14*f. Let j(p) be the third derivative of 0*p**4 + 1/24*p**6 + 0*p**3 - 1/20*p**f + 0 - p**2 + 0*p. Find the third derivative of j(w) wrt w.
30
Let p be (-88)/(-55) + 3/(-5). Let y be -5 + 6 + p + 2. What is the third derivative of -m**2 + 336*m**3 - 336*m**3 - y*m**5 wrt m?
-240*m**2
Let s(m) = 32*m**2 + 26*m - 2. Let z(x) = x**2 + 1. Let l(b) = -s(b) - 2*z(b). Find the second derivative of l(a) wrt a.
-68
Let y be (-6 - -2) + -2 + 1. Let k = -3 - y. Find the second derivative of 9*s - 4*s + k*s**5 + 3*s**5 wrt s.
100*s**3
Let x = 13 - -21. What is the third derivative of -41*t**3 + 29*t**2 + t - 56*t**2 + x*t**2 wrt t?
-246
Suppose 5*w + r - 106 = w, 5*r + 10 = 0. Find the third derivative of 17*z**2 + 22*z**2 - w*z**2 - 10*z**6 wrt z.
-1200*z**3
Let u(w) = -3 + w**3 - w - 3 - 5 + 16*w**2. Let s be u(-16). Find the second derivative of -17 + 3*k + 17 - 4*k**2 + s*k wrt k.
-8
Let o(h) be the first derivative of h**5/5 + 70*h**3/3 + 233*h + 36. What is the first derivative of o(c) wrt c?
4*c**3 + 140*c
Let m(r) be the first derivative of 4*r**7/21 - 5*r**3/2 + 47*r - 32. Let h(l) be the first derivative of m(l). Find the second derivative of h(u) wrt u.
160*u**3
Suppose -2*k - n + 19 = 3*k, 5*n - 20 = 0. Let m(o) be the first derivative of k - 4/3*o**3 + 0*o**2 - o. Differentiate m(q) with respect to q.
-8*q
Find the third derivative of -1896 + 13*a**3 + 82*a**2 + 1795 - 2*a**6 - 80*a**2 wrt a.
-240*a**3 + 78
Let s = 39 - 37. Find the third derivative of 3*n**4 - 122*n**2 + 5*n**4 + 108*n**s wrt n.
192*n
Let o(b) be the third derivative of b**7/70 - 37*b**5/60 - b**4/12 - 2*b**3 - 124*b**2. Find the second derivative of o(l) wrt l.
36*l**2 - 74
Suppose 8*h - 8 = -8. Find the third derivative of 19*d**2 + 0 + h - 53*d**3 + 30*d**3 wrt d.
-138
Let s be (-21)/(-12) + (44/(-16) - -3). What is the third derivative of 4947*n**4 - 15*n**6 - 4947*n**4 + 2*n**s + 16*n wrt n?
-1800*n**3
Let x(f) = -f**3 + f**2 + f - 1. Let c(d) = -104*d**3 - 97*d**2 - 5*d + 5. Let q(k) = -c(k) - 5*x(k). Find the third derivative of q(t) wrt t.
654
Let x(h) = 3*h**2 + 1. Let r be x(1). Let n = 1 + r. Find the third derivative of 4*y**6 - n*y**2 + 5*y**4 - 5*y**4 wrt y.
480*y**3
Let o(d) be the first derivative of 13 - 11/4*d**4 + 0*d + 7/3*d**3 + 0*d**2. What is the third derivative of o(m) wrt m?
-66
Let q be -1 + 1 + 37 + 3. Suppose 0 = 2*j + 2*j - q. What is the third derivative of x**6 - 5*x**6 + 8*x**2 - j*x**2 wrt x?
-480*x**3
Let z(t) = 71*t**4 - 10*t**2 + 682*t - 5. Let o(p) = 36*p**4 - 4*p**2 + 341*p - 2. Let f(v) = -5*o(v) + 2*z(v). Find the second derivative of f(l) wrt l.
-456*l**2
Suppose -f - f - 6 = -2*a, 0 = 4*f + 3*a - 16. Let g = f - 0. What is the second derivative of 2*i**4 - 26*i + 1 + 22*i - g wrt i?
24*i**2
Let w = 14 + -12. Let l be (4 - 4) + 8 + w. What is the derivative of l - 4*q - 11 + 3*q + 3*q wrt q?
2
Let x = 19 + -7. What is the first derivative of -2*j**3 +