- 12*t**2 + 16*t**2 + 1 wrt t?
8*t
Differentiate 29 - 7*v + 12 + 26 - 7 wrt v.
-7
Let q(h) be the second derivative of 7*h**6/30 - 2*h**5/5 - 23*h**2/2 - 46*h. Differentiate q(y) with respect to y.
28*y**3 - 24*y**2
Suppose -8 = -4*b - u, -2*u + 9 = -b + 2*b. Let o be -1 + (b - -11)/4. What is the second derivative of -8*r + 4*r**2 + 0*r**o - r**2 wrt r?
6
Let n be ((-22)/33)/(6/(-27)). What is the second derivative of 3*o**3 + 128*o + 6*o**n - 118*o wrt o?
54*o
Let z(v) = -v**3 + v**2 + 5*v - 3. Let u be z(-3). Find the third derivative of 15*l**5 - 39*l**5 - u*l**2 + 14*l**5 wrt l.
-600*l**2
Let k be ((-1)/(-3))/(4/108*3). What is the third derivative of 0*j**2 + 5*j**2 + 10*j**3 - 12*j**2 + 4*j**k wrt j?
84
Let q(g) be the third derivative of 0*g**3 - 1/6*g**6 + 0*g**4 + 0 - 5*g**2 + 0*g + 9/20*g**5. Find the third derivative of q(i) wrt i.
-120
Let u(y) = -15*y + 21. Let v(x) = -3*x - 1. Let h(g) = g + 1. Let d(o) = 2*h(o) + v(o). Let q(k) = 2*d(k) - u(k). Differentiate q(f) with respect to f.
13
Let i(m) be the first derivative of 0*m - 4*m**3 + 1/3*m**6 + 0*m**4 + 0*m**5 + 0*m**2 + 12. Find the third derivative of i(t) wrt t.
120*t**2
Let n(j) = -j**4 - 2*j**2 + j + 1. Let y(x) = 89*x**4 - 8*x**2 - 103*x + 4. Let t(d) = -4*n(d) + y(d). What is the second derivative of t(g) wrt g?
1116*g**2
Let c(j) = -3. Let y(k) = k + 6. Let d(q) = q + 8. Let o be d(-6). Let v be 52/10 - o/10. Let l(u) = v*c(u) + 2*y(u). What is the derivative of l(a) wrt a?
2
Let f = 64 - 62. Differentiate -10 - 13 + 8*h**f - 45*h**2 - 18 with respect to h.
-74*h
Let r(b) = b**3 + 25*b**2 + 24*b + 2. Let m be r(-24). Find the second derivative of -3*i - 18*i**2 + 4*i + m*i - i**2 wrt i.
-38
Suppose 9*c - 235 = -199. Let g(h) be the third derivative of 0*h + 4/3*h**3 - h**2 - 1/6*h**c + 0. Differentiate g(u) with respect to u.
-4
Let p(i) be the first derivative of -4*i**3 + 2 + 0*i**4 + 0*i + 0*i**2 + 8/5*i**5. Find the third derivative of p(m) wrt m.
192*m
Find the second derivative of 33*s - 47*s + 770*s**4 - 2276 + 1133 - 40*s + 1139 wrt s.
9240*s**2
What is the second derivative of 27*x**4 + 1104*x**2 + 39*x - 1 - 1104*x**2 wrt x?
324*x**2
Let z(w) = -2*w**2 - 16*w - 7. Let o be z(-7). What is the first derivative of 10 + 26*k**4 + o + 3 wrt k?
104*k**3
Let w(z) be the first derivative of 130*z**3/3 - 63*z + 104. Find the first derivative of w(i) wrt i.
260*i
Let f = -17 + 14. Let g be ((-8)/f)/((-4)/(-6)). Differentiate -d**4 + g + 3 + 5*d**4 - 2 with respect to d.
16*d**3
What is the first derivative of 3*s - s - s + 69 wrt s?
1
Suppose -6 = r + 5*q, -6 = -3*r + 2*q + 10. Suppose 32 = 8*z + 24. What is the first derivative of 5*u - 5 - z + r wrt u?
5
Let p(n) be the third derivative of -n**9/504 + 17*n**7/105 + 103*n**5/60 - 39*n**2 + n. What is the third derivative of p(h) wrt h?
-120*h**3 + 816*h
Let k(r) = -6*r**3 - 19*r**2. Let w(m) = -5*m**3 - 19*m**2. Suppose j + 22 - 29 = 0. Let v(c) = j*w(c) - 6*k(c). What is the third derivative of v(l) wrt l?
6
Let m(o) = 3*o**2 - o - 18. Let u(n) = -n. Let r(s) = m(s) + 4*u(s). Let f(c) be the first derivative of r(c). What is the derivative of f(z) wrt z?
6
Let n(z) be the third derivative of 0*z + 0*z**4 + 0*z**7 + 0*z**3 + 0*z**6 - 4/15*z**5 + 0 + 1/24*z**8 - 2*z**2. What is the third derivative of n(c) wrt c?
840*c**2
Let q(t) be the first derivative of -7*t**6 - 7 + 10*t**6 + 3*t**2 - 7. Find the second derivative of q(z) wrt z.
360*z**3
Let x(a) be the second derivative of -23*a**5/10 + 15*a**4/4 - a**2/2 + 99*a. Find the third derivative of x(u) wrt u.
-276
Let u(t) = t + 1. Let c be u(-1). Suppose 0*i + 4*i - 12 = c. Find the third derivative of -2*k**2 - i*k**2 + 5*k**3 + 0*k**3 wrt k.
30
What is the second derivative of -13*m**2 + 3 + 17*m**2 - 40*m**3 + 41*m**3 - 7*m wrt m?
6*m + 8
Let d(s) = -128*s**2 + 11*s - 118. Let t(h) = 43*h**2 - 4*h + 39. Let y(r) = -4*d(r) - 11*t(r). What is the first derivative of y(l) wrt l?
78*l
Let i be (-1 - -1)/(-1 + 6 + -4). Find the third derivative of 0 + i - 12*x**5 - 8*x**2 wrt x.
-720*x**2
Suppose -3*n + 9 = 3. What is the second derivative of i + 25*i - 215*i**n + 235*i**2 wrt i?
40
Suppose -7*b - 5 = -26. Differentiate -11*d + b + 5 - 2 wrt d.
-11
Let g(y) be the first derivative of y**8/240 + y**5/10 - 8*y**3/3 + 5. Let h(n) be the third derivative of g(n). Find the second derivative of h(r) wrt r.
84*r**2
Differentiate 42 - 145 + 2006*y**4 - 1876*y**4 - 130 + y**3 - 23 with respect to y.
520*y**3 + 3*y**2
Let z be 61/5 + 10/(-50). Differentiate 22*j**2 + 4 - 4 - z - 10 wrt j.
44*j
Let u(g) be the third derivative of 0*g**3 + 0*g**4 + 1/30*g**5 + 12*g**2 + 0 + 0*g**6 + 0*g**7 - 19/336*g**8 + 0*g. What is the third derivative of u(s) wrt s?
-1140*s**2
Suppose -w = -5*t + 11, 3*w - 3 = -4*t + 2. Find the second derivative of g - t*g - 6*g + 17*g**3 wrt g.
102*g
Let j(v) = 18*v**2 - 29*v. Let k be (1 + -7)*(-2)/(-4). Let y(m) = -35*m**2 + 59*m. Let p(x) = k*y(x) - 5*j(x). Find the second derivative of p(f) wrt f.
30
Suppose -3*c + d = -16, 0 = -5*c + c - d + 26. Find the second derivative of -5*o - c*o + 13*o - 2 + 7*o + 46*o**2 wrt o.
92
What is the derivative of -383*t**3 + 7 - 262*t**3 + 934*t**3 wrt t?
867*t**2
Let l(c) be the first derivative of -85*c**3/3 + 5*c**2/2 - c + 94. Find the second derivative of l(v) wrt v.
-170
Let f(b) be the first derivative of 77*b**6/6 + 9*b**2 - 96. What is the second derivative of f(j) wrt j?
1540*j**3
Let r be (-1 + 0)/((-2)/6). Suppose 0 = 2*c - 5*u - 26, u + 7 = c - 0*u. What is the third derivative of -3*g**3 + 3*g**r - 2*g**2 + 7*g**5 - c*g**2 wrt g?
420*g**2
Let s(w) be the second derivative of -128*w**7/21 + w**4/12 - 2*w**2 + 142*w. What is the third derivative of s(q) wrt q?
-15360*q**2
Suppose -5 = p, -5*o = -0*o - 4*p - 45. What is the second derivative of -5*a**2 - 8*a - 4*a + 9*a**5 + o*a**2 wrt a?
180*a**3
Find the second derivative of 13*h - 48*h**2 - 14*h**2 + 10*h wrt h.
-124
Let y = 25 + -37. Let w = y - -17. Differentiate -7*u - 2 + 7*u - 3*u**3 + w*u**3 with respect to u.
6*u**2
Let p(j) = -j**3 - 15*j**2 + 17*j + 18. Let l be p(-16). Find the third derivative of 47*u**l + 12*u**5 - 2*u**5 - 11*u**2 - 2*u**2 wrt u.
600*u**2
Let s(k) be the third derivative of 1/105*k**7 + 0*k + 0*k**4 + 0 + 0*k**5 - 28/3*k**3 + 17*k**2 + 0*k**6. Differentiate s(y) with respect to y.
8*y**3
Let h = -1328 + 1328. Let u(g) be the third derivative of 0*g + h - 3*g**2 + 0*g**4 + 1/15*g**5 - g**3. Differentiate u(m) with respect to m.
8*m
Find the second derivative of -53 - 30 - 6*b - 23 - 117*b**3 + 2*b + 3*b wrt b.
-702*b
Let k(u) = u**3 + 7*u**2 + 3. Let l be k(-7). Suppose 5*q - 11 = -4*n, -17 = l*q - 7*q + 5*n. What is the derivative of 3*g**3 - q - 17*g + 17*g wrt g?
9*g**2
Suppose r + 3 = 6. Differentiate -11*u**r + 5 - 13 + 2*u**3 wrt u.
-27*u**2
What is the third derivative of -5*g**2 + 25709*g**6 + 2 - 2 - 6*g - 26001*g**6 wrt g?
-35040*g**3
Let h(j) = -71*j**3 - 2*j**2 + 11*j. Let m(u) = -u**3 + u**2 + 5*u - 1. Let w(i) = -h(i) - 2*m(i). What is the second derivative of w(s) wrt s?
438*s
Let c(a) be the first derivative of -4*a**3 + 1 - 2*a**4 + 0*a**2 + 9*a**2 - 9*a**2. Find the third derivative of c(f) wrt f.
-48
Find the third derivative of 4*h**4 - 9*h + 279*h**2 - h + 10*h**3 - 272*h**2 wrt h.
96*h + 60
Let a be 4 - (4 + -2) - 0. What is the third derivative of -10*p**6 - 14*p**3 - 5*p**3 - 12*p**a + 19*p**3 wrt p?
-1200*p**3
Let h(c) = -173*c**2 + 3*c + 684. Let r(q) = -3*q**2 - q + 2. Let n(a) = h(a) + 3*r(a). Differentiate n(s) wrt s.
-364*s
Let l(m) = 275*m**3 - 6*m**2 + 89*m - 9. Let y(r) = -825*r**3 + 17*r**2 - 264*r + 26. Let b(q) = -17*l(q) - 6*y(q). What is the second derivative of b(w) wrt w?
1650*w
Let b(z) be the second derivative of -z**6/2 + 35*z**4/12 + z**3/2 - 84*z + 1. Find the third derivative of b(c) wrt c.
-360*c
Let k = -1 - 1. Let b(s) = -3*s - 1. Let h be b(k). Find the second derivative of 4*u**4 - 10 + 10 + h*u wrt u.
48*u**2
Let o(j) be the first derivative of 403*j**4/4 - j**3/3 - 103*j**2/2 - 57. Find the third derivative of o(v) wrt v.
2418
Differentiate -100*u**2 + 118*u**2 - 4*u**3 + 54 + 2*u**3 with respect to u.
-6*u**2 + 36*u
Suppose 7*q = 32 - 18. Find the second derivative of 1