- 12*m
Let h = -50 + 42. Let i(w) = 9*w**2 + 19. Let j(b) = 11 + 20 + 14*b**2 - 2. Let m(r) = h*i(r) + 5*j(r). Find the first derivative of m(s) wrt s.
-4*s
Let w(y) = 20*y - 13. Let t be w(5). What is the first derivative of t*g + 176 - 34*g + 30*g wrt g?
83
Suppose -3*f - t + 50 = 0, 65 = 3*f - t + 5*t. Let d = 23 - 18. Find the second derivative of 3*r - 26*r**d + f*r + 4*r wrt r.
-520*r**3
Let k be 2/(-8) + 5 + 33/(-12). Find the first derivative of 1 - 7 - w**3 + 5*w**3 + 0*w**3 - 16*w**k - 4 wrt w.
12*w**2 - 32*w
Let k(p) = 48 + 68 + 33*p**3 - 26 + p**2 + 5*p. Let l(u) = 50*u**3 + 2*u**2 + 8*u + 135. Let t(w) = 8*k(w) - 5*l(w). Differentiate t(d) wrt d.
42*d**2 - 4*d
Let d(k) be the second derivative of 828*k**3 + 5913*k**2/2 + 162*k - 7. What is the first derivative of d(g) wrt g?
4968
Let k(c) be the third derivative of -25/6*c**3 + 0*c**5 + 1/42*c**7 - 2*c - 44*c**2 + 0*c**6 + 0 - 1/24*c**4. Differentiate k(s) with respect to s.
20*s**3 - 1
Let y(f) = 7*f**3 - 230*f**2 - 3103*f - 4. Let n(o) = 8*o**3 - 229*o**2 - 3103*o - 5. Let j(z) = 4*n(z) - 5*y(z). What is the second derivative of j(u) wrt u?
-18*u + 468
Let l be -1*(15 + -2 - 4). Let h(d) = d**2 + 7*d - 12. Let v be h(l). What is the third derivative of 7*w**6 + 2*w**2 + 24*w**v - 11*w**6 + 9*w**6 wrt w?
3480*w**3
Let f(y) = -y**4 - y**3 - y**2. Let d(i) = -2*i**2 - i**3 + 114*i**4 - 81 + 5*i**3 - i**2 - 6*i**3 - i**3. Let g(j) = -d(j) + 3*f(j). Differentiate g(m) wrt m.
-468*m**3
Suppose 252 = 2*o - 3*b, 0 = -3*o + 2*b + b + 384. Let s = o - 115. What is the second derivative of 22*i**5 + 32*i**5 - s*i**5 - 39*i + 2*i**5 wrt i?
780*i**3
Let a = 320 - 270. Find the second derivative of -52*h**4 - 2 - 9*h - 3*h - 3 + a*h**4 - h**5 wrt h.
-20*h**3 - 24*h**2
Let q(h) be the third derivative of -151*h**5/30 - 365*h**3/2 - 999*h**2. Differentiate q(a) with respect to a.
-604*a
Let m(q) be the third derivative of 0*q + 0*q**4 + 0 - 222*q**2 + 121/120*q**6 + 0*q**3 - 109/30*q**5. What is the third derivative of m(j) wrt j?
726
Let j(l) = 114*l**3 - l**2 - 6*l + 1132. Let y(z) = 2*z**3 + z**2 + 5*z + 1. Let i(h) = -j(h) - y(h). Differentiate i(g) wrt g.
-348*g**2 + 1
Let r(m) be the second derivative of 2*m**8/7 + 13*m**6/6 + m**5/20 - 265*m**4/2 + 2511*m. What is the third derivative of r(u) wrt u?
1920*u**3 + 1560*u + 6
Let q(l) be the third derivative of 2*l**6 + l**5/30 - 5569*l**4/24 - 10538*l**2. Find the second derivative of q(x) wrt x.
1440*x + 4
Suppose 5*f - 22 = 6*x - 7, -f + 3 = -2*x. Let c(r) be the first derivative of 28 - 23*r - 19/3*r**f + 0*r**2. Differentiate c(m) wrt m.
-38*m
What is the third derivative of -151*d + 284*d**3 - 78*d + 2*d**2 + 2*d**4 + 94*d - 65*d**3 - 189*d wrt d?
48*d + 1314
Let k = 717 - 686. What is the third derivative of -154*f**2 + 297*f**2 - 145*f**2 + k*f**3 + 65*f**3 wrt f?
576
Let b = 1298 - -419. Find the second derivative of 4*t - 789*t**4 + 17 + b*t**4 - 778*t**4 wrt t.
1800*t**2
What is the third derivative of 22*u**2 - 41*u**3 + 2 - 639*u**2 - 1267*u**3 wrt u?
-7848
Let s(v) be the first derivative of 4*v**5/5 + 3*v**4/4 - 20*v**3/3 + 434*v**2 - 776. Find the second derivative of s(j) wrt j.
48*j**2 + 18*j - 40
Let o(a) be the second derivative of 650*a**7/21 + a**4/12 + 2305*a**3/6 + 44*a - 17. What is the second derivative of o(g) wrt g?
26000*g**3 + 2
Let h(i) = -14245*i**3 - 30*i - 9976. Let g(t) = 2035*t**3 + 4*t + 1425. Let x(s) = -15*g(s) - 2*h(s). Find the first derivative of x(k) wrt k.
-6105*k**2
Let u(d) be the first derivative of -256*d**3/3 + 3*d**2/2 + 2116*d - 4020. Differentiate u(g) with respect to g.
-512*g + 3
Let v(g) be the third derivative of 235*g**2 + 0*g**5 + 17/70*g**7 + 0*g**3 + 0*g - 1/120*g**6 + 0 - 43/8*g**4. What is the second derivative of v(k) wrt k?
612*k**2 - 6*k
Let c = 158 - 155. What is the third derivative of -497 + 46*i**c - 7*i**2 + i + 497 wrt i?
276
Suppose 0 = a + 5 + 15. Let v be ((-24)/a)/(6/10). Find the second derivative of 22*g**v - 23*g**2 - 26*g**2 - 7*g wrt g.
-54
Let z be 2/(-3)*-6 - 0. Find the second derivative of 23*i**2 - i**5 - 4*i**2 - 6 + z + 37*i - 49*i wrt i.
-20*i**3 + 38
What is the second derivative of 1265*i + 6554*i + 10283*i**2 + 326*i - 412*i**2 wrt i?
19742
Let r(c) be the third derivative of -327*c**6/40 + c**4/8 + 251*c**3 - 2*c**2 - c + 599. Find the first derivative of r(w) wrt w.
-2943*w**2 + 3
Let n(h) = -h + 13. Let r be n(7). Suppose -5*z = 4*j - 6*j + 26, 7 = 5*j + 2*z. What is the first derivative of -3 + 14*u**j + 3*u**3 + u**3 + r wrt u?
54*u**2
Suppose -2*g + 430 + 82 = 0. Suppose -g = -4*i - 0*f - 4*f, 3*i + 4*f - 194 = 0. What is the first derivative of -18*h - 17*h + 30 + i*h wrt h?
27
Let u(n) be the first derivative of -3/4*n**4 - 15 - 5/6*n**3 - n**2 + 0*n. Let w(b) be the second derivative of u(b). Differentiate w(a) wrt a.
-18
Let o(g) be the third derivative of -5*g**9/252 - 41*g**5/3 + g**3/6 - 244*g**2 - 4*g. What is the third derivative of o(d) wrt d?
-1200*d**3
Let w(b) be the third derivative of -1913*b**7/210 + 833*b**3/3 - 809*b**2. Differentiate w(h) with respect to h.
-7652*h**3
Differentiate 362*v**2 + 14095 + 365*v**2 - 1092*v**2 + 365*v**2 + 15368*v**3 wrt v.
46104*v**2
Let c(v) be the first derivative of -7673*v**2/2 - 9288*v + 10537. Find the first derivative of c(d) wrt d.
-7673
Find the third derivative of -2282*n**6 - 2843*n**6 + 4007 + 0*n**5 - 3982 + 0*n**5 - 5*n**2 + 5*n wrt n.
-615000*n**3
Let r be (0 + 108)*(3 + 55/(-20)). Find the third derivative of 0*g**2 + 2*g**2 - 6*g**2 + r*g**6 + 3*g - 53*g**6 + 28*g**6 + 7*g**4 wrt g.
240*g**3 + 168*g
Let p(x) = -2631*x**4 + 15*x**2 - 15*x + 4. Let s(l) = -2630*l**4 + 15*l**2 - 12*l + 2. Let f(o) = 4*p(o) - 5*s(o). Find the third derivative of f(w) wrt w.
63024*w
Let x(b) = b - 6922 + 6922. Let r(j) = 7*j**2 - 9*j + 8. Suppose 45 = -2*p + 9. Let y(s) = p*x(s) - 2*r(s). Differentiate y(q) wrt q.
-28*q
Let a(l) = -4096*l - 6133. Let m(o) = -1349*o - 2044. Let y(b) = -6*a(b) + 17*m(b). Find the first derivative of y(s) wrt s.
1643
Find the second derivative of 192*f**2 - 2742*f - 2232*f**4 + 170*f**2 - 362*f**2 wrt f.
-26784*f**2
Let l(n) be the first derivative of 13*n**5/5 - 5*n**4/4 - n**3/3 - 29*n**2/2 - 1729. Find the third derivative of l(b) wrt b.
312*b - 30
Suppose 9*r + 3 = 30. Suppose w + 0*w - 2 = 0. Find the third derivative of 3*j**r + 21*j**w + 5*j**2 - 13*j**2 wrt j.
18
Let t(v) = 17*v**2 + 3*v. Let x be t(1). What is the second derivative of 1445 - 55*q - 7*q - 1446 - 4*q - x*q**2 wrt q?
-40
Let w(k) = -15*k**3 + 6*k**2 + 9*k - 6. Let c be w(-2). What is the derivative of 188*z - 367 - 35*z - 2 + c wrt z?
153
Let i(k) = -k + 157. Let a(s) = 3*s - 158. Let u = -28 + 31. Let b(h) = u*a(h) + 4*i(h). What is the first derivative of b(y) wrt y?
5
Let p be -2 - (0 + 1) - -6. What is the second derivative of 48*w**p + w**3 + 23*w + 0*w**2 + 2*w**2 wrt w?
294*w + 4
Suppose l - 2 = -20. Let a(s) = s**3 + 19*s**2 + 17*s - 15. Let t be a(l). Find the third derivative of -4*v**t - 73 + v**2 + 73 wrt v.
-24
Let n(x) = -1 - 72*x**2 - 118*x - 4 + 4 + 2 + 4. Let j(b) = 252*b**2 + 414*b - 18. Let a(p) = -5*j(p) - 18*n(p). Find the second derivative of a(k) wrt k.
72
Let r be 97 + 5 + 0 + -9. Let m = 103 - r. What is the first derivative of -8*x**3 + 2 + 30*x**3 - m wrt x?
66*x**2
Find the third derivative of -683 - 35*r**2 - 70*r**6 - 453*r**6 - 440 + 34*r**2 - 330*r**6 wrt r.
-102360*r**3
What is the first derivative of -3783 + 4499*o**2 - 2854 + 4429*o**2 - 3988 wrt o?
17856*o
Suppose 1283 = 49*w - 383. What is the third derivative of 2 + 228*o**3 - 26*o**2 - w*o**2 + 124*o**2 wrt o?
1368
Let i(a) be the third derivative of 0*a**4 + 0 - 21/20*a**5 + 0*a + 62*a**2 - 3/40*a**6 + 0*a**3. What is the third derivative of i(c) wrt c?
-54
Let b = 34 + -28. Find the third derivative of 9*g - 7*g**2 - 174 + 4*g**2 + 174 + 73*g**b wrt g.
8760*g**3
Let g(j) be the first derivative of 833*j**4/4 + 5*j**3/3 - 45*j**2 - 283. What is the third derivative of g(x) wrt x?
4998
Let v be ((-216)/15)/(6/(-15)). What is the first derivative of 40*d + 316 - 25*d**3 - v - 42*d wrt d?
-75*d**2 - 2
Suppose -15*r - 64 + 94 = 0. What is the second derivative of 7*n**5 + 8*n**2 + r*n**5 + 13 + 3*n - 2 - 17*n**