- 2*s - 5*s**2 + 3*s**2. Let y be o(0). What is the first derivative of k - 2*k + 2*k + y + k wrt k?
2
Let a = -16 - -20. Suppose d - 40 = -a*d. What is the derivative of -t + d*t - 8 + 4*t - 5*t wrt t?
6
Find the third derivative of -480*y**3 + 9*y**2 + 319*y**3 + 259*y**3 - 11 wrt y.
588
Let t(u) be the second derivative of 35*u - 11/6*u**4 + 0*u**3 + 0 + 2*u**2. Find the first derivative of t(f) wrt f.
-44*f
Let t(a) = 3*a**2 - 1. Suppose 5*b - 3*h + 4 = 0, 3*h + 0*h = 4*b + 5. Let n be t(b). What is the third derivative of -n*w**2 + 0*w**2 + 4*w**2 - 3*w**4 wrt w?
-72*w
Let u = 17 - 12. Let a(f) = 3*f + 2. Let p(x) = x - 2. Let v be p(6). Let y(h) = -3*h - 2. Let m(i) = u*a(i) + v*y(i). Find the first derivative of m(j) wrt j.
3
Find the first derivative of -14 + 2*b**3 + 17*b**2 + 15*b**2 - 40 - 26 wrt b.
6*b**2 + 64*b
Let h(p) = p**6 + p**4 + p**3 - 2*p**2 - p. Let d(a) = 178*a**6 - a**4 - a**3 + 284*a**2 + a. Let s(g) = d(g) + h(g). Find the third derivative of s(u) wrt u.
21480*u**3
Let w(p) = 7*p**2 - 6*p - 4. Let i be (-5 - -4) + 20/(-4). Let n(o) = -8*o**2 + 5*o + 3. Let h(c) = i*n(c) - 5*w(c). Differentiate h(g) with respect to g.
26*g
Let y(d) = 4*d**5 - 287*d**3 + 5*d**2 - 21*d + 6. Let x(b) = b**5 + b**3 - b**2 - 2*b + 1. Let k(j) = -6*x(j) + y(j). Find the third derivative of k(m) wrt m.
-120*m**2 - 1758
Let k be 8 - 14 - (-2 + -9). Let h(y) be the second derivative of -4/3*y**3 + 0*y**2 + 11/20*y**k + 0 - y + 0*y**4. Find the second derivative of h(u) wrt u.
66*u
Let o(x) = -25*x**3 - x**2 + x - 3. Let f(t) = -25*t**3 - t**2 + 2*t - 2. Let s(y) = -3*f(y) + 2*o(y). What is the third derivative of s(d) wrt d?
150
What is the third derivative of 141*q**3 + 7*q + 39*q**2 - 141*q**3 - 276*q**5 - q**2 wrt q?
-16560*q**2
Let o(u) = -u**2. Suppose -144*r + 40 = -140*r. Let m(n) = -45. Let l(d) = r*o(d) + m(d). Differentiate l(c) wrt c.
-20*c
Differentiate i**3 + 13*i**2 + 33 + i**3 - i**3 - 5*i**3 with respect to i.
-12*i**2 + 26*i
Let o(j) be the third derivative of j**5/30 - 19*j**4/8 - 583*j**3/6 - 213*j**2. Differentiate o(r) with respect to r.
4*r - 57
Suppose -m + 3 = 7. Let z be (12 - -2)/((-8)/m). Find the third derivative of 0*v**2 + 3*v**2 + 2*v**2 - z*v**5 wrt v.
-420*v**2
Let w = 1740 + -1737. Let r(f) be the third derivative of f**2 + 0 + 0*f - 5/3*f**w + 3/20*f**5 + 0*f**4. What is the first derivative of r(d) wrt d?
18*d
Let q(a) be the second derivative of 4*a**4/3 + 29*a**3/6 - 3*a**2 - a - 33. What is the second derivative of q(s) wrt s?
32
What is the second derivative of -123*m + 446*m**4 - 2*m**2 + 4*m**2 + 667*m - 454*m**4 - 6*m**2 wrt m?
-96*m**2 - 8
Find the third derivative of 479*u**4 - 1981*u**2 + 3000*u**2 - 1571*u**2 wrt u.
11496*u
Let t(u) be the third derivative of u**9/168 - u**6/60 - u**5/10 - 2*u**3/3 + u**2 - 54*u. What is the third derivative of t(o) wrt o?
360*o**3 - 12
Let m(n) be the third derivative of -11*n**6/20 + n**5/60 - 7*n**4/12 + 8*n**2 + 2. Find the second derivative of m(k) wrt k.
-396*k + 2
Let s(y) = 3. Let z = -1 - -5. Let d(m) = m**2 + 5. Let t be (-3)/9 - 16/6. Let n(k) = t*d(k) + z*s(k). Differentiate n(u) with respect to u.
-6*u
Find the first derivative of 32 + 12*o + 74 - 70 wrt o.
12
Let q(z) = -4*z**3 + 9*z**2 + 3*z - 72. Let r(x) = 11*x**3 - 26*x**2 - 8*x + 216. Let p(j) = 8*q(j) + 3*r(j). Differentiate p(s) wrt s.
3*s**2 - 12*s
Let y = 2 + -3. Let i(b) = 2*b**3 + b**2 - 6*b. Let w(p) = 1660*p - 829*p - 830*p. Let m(t) = y*i(t) - 6*w(t). Find the third derivative of m(r) wrt r.
-12
Let u(i) = -i**3 - 5*i**2 - 5*i - 2. Let g = 0 - 4. Let y be u(g). Find the second derivative of 0*h**2 + 3*h - 2*h**y - 3*h**2 wrt h.
-10
Let u(m) be the third derivative of 233*m**6/120 - 2*m**4/3 + 4*m**3/3 - 3*m**2 - 69*m. What is the second derivative of u(t) wrt t?
1398*t
Let a = 38 - 34. Differentiate -6 + 36 + 100*s**4 - 103*s**a with respect to s.
-12*s**3
Let h(l) = 4*l**4 + 110*l**3 + 364*l**2 - 1. Let f(p) = -2*p**4 + p**3 + 1. Let a(d) = -f(d) - h(d). What is the third derivative of a(o) wrt o?
-48*o - 666
Let o(x) be the first derivative of x**6/6 - 7*x**3/6 + 12*x**2 + 12. Let k(t) be the second derivative of o(t). Differentiate k(l) with respect to l.
60*l**2
Let u(n) be the second derivative of 0*n**4 + 0 + 0*n**5 - 4*n - 7/10*n**6 - 7/2*n**3 + 0*n**2. Find the second derivative of u(o) wrt o.
-252*o**2
Find the second derivative of 77 - 10*v**2 + 129*v - 16*v**2 - 127*v wrt v.
-52
Let j(i) be the third derivative of -i**9/42 + 61*i**5/60 + 53*i**2. What is the third derivative of j(g) wrt g?
-1440*g**3
Let c(h) be the first derivative of -7/2*h**2 + 0*h**3 + 0*h - 14 - 11/4*h**4. What is the second derivative of c(d) wrt d?
-66*d
Find the third derivative of -16*j**3 - 2*j**4 - 7*j**2 + 14*j**3 - 283*j**5 + 2*j**3 + 8*j wrt j.
-16980*j**2 - 48*j
Let m(j) be the first derivative of -16*j**7/7 + j**6/3 + 2*j**3/3 + 107*j**2/2 - 89. Find the third derivative of m(h) wrt h.
-1920*h**3 + 120*h**2
Let w(d) be the second derivative of 0*d**2 - 1/6*d**3 + 0*d**4 + 0 + 8*d - 7/20*d**5. What is the second derivative of w(q) wrt q?
-42*q
Let r(p) be the first derivative of 0*p - 3/4*p**4 - 12*p**3 + 1/5*p**5 + 0*p**2 - 39. Find the third derivative of r(u) wrt u.
24*u - 18
Let h be 18/(-12)*(0 + -2). Let z(a) = -a**2 + 3*a + 2. Let c be z(h). What is the third derivative of -3*l**2 + 4*l**4 + 0*l**c - l**4 wrt l?
72*l
Suppose i = -5*j - 0*j - 2, -4 = 4*j. Find the third derivative of -14*h**5 - 3*h**2 + i*h**2 - 5*h**2 wrt h.
-840*h**2
What is the derivative of -87 + 6*q**3 - 25 - 70*q**3 wrt q?
-192*q**2
Suppose 0*q + 81 = 3*q. Let z be 17 + (1/(-1))/((-12)/(-72)). Differentiate -z*a**3 + 2*a**3 + 28 - q with respect to a.
-27*a**2
Let v(a) be the third derivative of 0*a**3 + 0 + 0*a**6 + 0*a - 11*a**2 + 1/10*a**5 - 1/210*a**7 + 0*a**4. What is the third derivative of v(z) wrt z?
-24*z
Suppose 14*i - 12 = -3*r + 17*i, r + 3*i = -12. Let o(k) be the second derivative of -k**2 + 5*k + 2/3*k**3 + r. Find the first derivative of o(l) wrt l.
4
Let i(c) = 20*c**3 - 5*c**2 - 62*c + 6. Let o(y) = 22*y**3 - 6*y**2 - 61*y + 7. Let l(s) = 7*i(s) - 6*o(s). Find the second derivative of l(n) wrt n.
48*n + 2
What is the derivative of -10*t**3 - 5*t**3 + 11*t**3 + 7*t**2 - 79 + t**2 wrt t?
-12*t**2 + 16*t
Let z(y) be the second derivative of -1/6*y**3 + 0*y**4 + 0*y**6 + 26/21*y**7 + 0*y**5 - 35*y - y**2 + 1. Find the second derivative of z(g) wrt g.
1040*g**3
Let i be 3 + (258 - (1 - -1)). Differentiate 18 + 259*k + 6*k**4 - i*k wrt k.
24*k**3
Let u(w) = -3*w**3 + 31*w**2 - 49*w - 2. Let l(a) = 6*a**3 - 61*a**2 + 98*a + 5. Let d(p) = -2*l(p) - 5*u(p). Find the second derivative of d(q) wrt q.
18*q - 66
Let w(m) be the third derivative of 0*m + 0*m**5 + 0 - 17/120*m**6 + 25*m**2 - 7/12*m**4 + 0*m**3. Find the second derivative of w(z) wrt z.
-102*z
Let k(t) be the second derivative of 37*t**6/10 + t**4/6 + t**3/6 - 198*t**2 - 577*t. Find the second derivative of k(z) wrt z.
1332*z**2 + 4
Let y be 12/(-8) - -234*18/8. Differentiate -525*g - 8 + 14*g**4 + y*g wrt g.
56*g**3
Find the second derivative of -132*l**2 + 0 + 0 - 411*l - 10*l**2 - 310*l**2 wrt l.
-904
Let t(c) = 12*c**2 - 43*c - 19. Let n(u) = 2*u**2 + u - 2. Let w(j) = -5*n(j) + t(j). Differentiate w(r) with respect to r.
4*r - 48
Let v(b) = b**2 + b - 1. Let p be v(0). Let u be 1 - -2*(2 + p). What is the third derivative of -5*m**6 - u*m**2 - 2*m**2 + 4*m**6 wrt m?
-120*m**3
Let l(t) be the third derivative of -4*t**5/15 + 71*t**4/4 - 370*t**2. Find the second derivative of l(w) wrt w.
-32
Let g(x) be the second derivative of -x**6/5 - 9*x**5/20 - 2*x**4/3 - x**2 - 142*x. What is the third derivative of g(t) wrt t?
-144*t - 54
Let h(q) = -q**3 + 7*q**2 - 5*q - 4. Let y be h(6). What is the second derivative of 34*k**y - 5*k + 3*k + 0*k wrt k?
68
Let n(u) be the first derivative of -25*u**5 + 16*u**2 + 7. Find the second derivative of n(a) wrt a.
-1500*a**2
Let n = -6 + 8. Suppose 20 = s - 5*t, -n*s + 5*t = 2*s - 35. Find the first derivative of s*j**3 + 7 + 15*j**2 - 15*j**2 wrt j.
15*j**2
Find the second derivative of -55*l + 179*l**2 + 55*l + 38*l - 1 + 3 + 62*l**2 wrt l.
482
Let v(s) be the third derivative of 11*s**5/20 - 23*s**3/3 -