 2
Let r(t) be the first derivative of -18*t**5/5 + t**4/2 - 61*t + 28. Find the first derivative of r(x) wrt x.
-72*x**3 + 6*x**2
Let r(h) be the second derivative of -371*h**4/12 - 15*h**3/2 + 4*h - 40. What is the second derivative of r(s) wrt s?
-742
Suppose -4*h - 4*j = j + 48, -3*j - 26 = 2*h. Let f be (56/49)/((-2)/h). What is the second derivative of 3*k**3 + 0*k**3 + 3*k**3 - f*k**3 - 4*k wrt k?
12*k
Let g be -5*1 + (-399)/504*-12. Let u(i) be the first derivative of 0*i**3 + 0*i**4 + 3 - 4/5*i**5 + 0*i + g*i**2. What is the second derivative of u(x) wrt x?
-48*x**2
Let a(z) = 4*z**4 + 150*z**3 - z**2 + 49*z + 8. Let o(x) = -x**4 - 51*x**3 - 16*x - 3. Let l(v) = 3*a(v) + 8*o(v). What is the third derivative of l(c) wrt c?
96*c + 252
Let m(u) be the first derivative of -248*u**5/5 + u**4/4 - u**3 + 49*u**2/2 + 46. What is the third derivative of m(x) wrt x?
-5952*x + 6
Let z(w) = 12*w**4 + 5*w**2 + 10*w + 121. Let r(y) = -6*y**4 - 3*y**2 - 6*y - 61. Let o(n) = 5*r(n) + 3*z(n). Differentiate o(l) wrt l.
24*l**3
Suppose -17*k + 6 = -16*k. Differentiate -a + 2*a - 10 - k*a - 3 wrt a.
-5
Let g(t) = 25*t**3 + 60*t**2 + 2*t + 767. Let a(p) = -4*p**3 - p**2 + 1. Let v(h) = -6*a(h) - g(h). What is the second derivative of v(w) wrt w?
-6*w - 108
Let g(n) be the first derivative of 238*n**3/3 - 70*n**2 - 138. What is the second derivative of g(i) wrt i?
476
What is the first derivative of 26 + 6*a - 15*a + 31 - 14*a wrt a?
-23
Suppose 4*w = -2*j + 4*j - 20, 4*j - 2*w = 16. What is the third derivative of -69*y**2 + 2*y**5 + 60*y**2 - j*y**5 + 12*y**6 wrt y?
1440*y**3
Let f = 23 + -19. Differentiate 0*u**4 + 13 - 18 - 22*u**f + 2*u**4 with respect to u.
-80*u**3
Let k = 64 - 62. What is the first derivative of -m - 19*m**k - 4*m + 5*m + 4 wrt m?
-38*m
Let s(k) be the second derivative of -k**7/21 - k**5/4 + 17*k**3/6 - 66*k. Find the second derivative of s(v) wrt v.
-40*v**3 - 30*v
Let r(x) be the first derivative of 7*x**4 - x**2 - 74*x - 90. Differentiate r(i) wrt i.
84*i**2 - 2
Let v(g) = 6*g + 1. Let k(r) = -7*r - 238. Let m(l) = -k(l) + 3*v(l). Find the first derivative of m(c) wrt c.
25
Let r = -63 + 77. What is the second derivative of -3*x + 4*x**3 - 18*x + r*x**3 + 4*x**3 wrt x?
132*x
Let h(i) be the first derivative of -2 - i**2 + 0 + 3 - 2*i**4 + 6. What is the second derivative of h(n) wrt n?
-48*n
Let v(p) = -147*p**3 - 10*p**2 + 4*p - 2. Let d(j) = 292*j**3 + 21*j**2 - 7*j + 4. Let y(t) = -4*d(t) - 7*v(t). What is the third derivative of y(f) wrt f?
-834
Find the third derivative of -6*w**2 + 2*w - 2*w - 5*w**4 - 3 + 429*w**3 - 428*w**3 wrt w.
-120*w + 6
Find the first derivative of -60*g**3 + 32 + 49 - 34 + 0 wrt g.
-180*g**2
Let b(f) be the second derivative of -1/42*f**7 + 0*f**5 + 0*f**6 + 0*f**3 + 0 + 3*f - 5/12*f**4 + 0*f**2. What is the third derivative of b(r) wrt r?
-60*r**2
Let i(a) = -9 - 8 + 16 - a**2 - a. Let k(c) = 4*c**3 + 2*c**2 + 4*c + 4. Let z(j) = 4*i(j) + k(j). Find the third derivative of z(l) wrt l.
24
What is the third derivative of 104*s**2 + 27*s**4 - 10825*s**3 + 10825*s**3 wrt s?
648*s
Let f(h) = 24*h**2 - h + 8. Let i be f(5). Let n = i - 390. Find the third derivative of -4*t**2 + n - 213 - 9*t**4 wrt t.
-216*t
Let f(d) be the third derivative of -d**6/60 - d**5/5 + d**4/24 + 7*d**3/3 - 82*d**2. What is the second derivative of f(t) wrt t?
-12*t - 24
Let d(b) be the first derivative of 4*b**6/3 - 2*b**5/5 - 11*b**3/3 + b**2/2 + 65. Find the third derivative of d(f) wrt f.
480*f**2 - 48*f
Suppose 0 = -3*t + 2*u + 13, 3*t - 17 = -0*t - 2*u. What is the third derivative of 4*p**5 - 5*p**5 - 43*p**2 + 17*p**2 - 16*p**t wrt p?
-1020*p**2
Let p be (3/(-2))/((-18)/12). Let l = 1 - p. Differentiate -1 + 2 - 6*x**2 + 0*x**2 + l with respect to x.
-12*x
Find the third derivative of 22*d**4 + 3*d**4 - 4*d**4 - 111*d**2 - 188*d**2 - 2*d**3 wrt d.
504*d - 12
What is the derivative of o + 116*o**2 - 36*o**2 + 47 + 27 + 6 + 81 wrt o?
160*o + 1
Let a = 22 - 20. What is the second derivative of -f + 3*f**2 + 29*f**a - 22*f wrt f?
64
What is the third derivative of -8 + 27*c**2 + 116*c**6 - 2 - 23*c**2 - 7 wrt c?
13920*c**3
Let w be ((-36)/(-10))/((-6)/30). Let n = -15 - w. What is the derivative of 2 + 3*s - 7*s**n - 3 - 3*s wrt s?
-21*s**2
Let p be -4 + 9 + -1 - (3 - 1). Find the first derivative of -31*u**p - 15 + 15*u**2 + 19*u**2 - 6 wrt u.
6*u
Let q(k) be the second derivative of -65*k**4/12 + 3*k**3 - 5*k + 7. What is the second derivative of q(s) wrt s?
-130
Let m be -2 - 6/(2 - 5). Let y(c) = 3*c + 6. Let p be y(m). Find the second derivative of -p*z**2 + z**2 + 4*z**3 + 5*z**2 - 12*z wrt z.
24*z
Let r be (16/(-8))/(2 + 1 + -4). What is the second derivative of -2*j**r - 32*j + 2229 - 2229 wrt j?
-4
Suppose 0*z - 4*z = 0. Let h = z + 1. Find the first derivative of -1 + h - 4*n + 0 + 3 wrt n.
-4
Let l(f) = f - 5. Let m be l(6). Suppose -m = o - 2. Differentiate -2 + 2*b - 2 + o wrt b.
2
Let b be (-7 + 12)*(-6)/(-15). Find the first derivative of 146*n**b - 7 - 153*n**2 - 1 wrt n.
-14*n
Find the second derivative of -1 + 294*y**2 + 98*y**2 + 2*y - 136 - 53 wrt y.
784
Let o = 61 + -56. What is the third derivative of -18*n**2 + 38*n**5 + 32*n**o + 38*n**5 - 115*n**5 wrt n?
-420*n**2
Let p(t) = 181*t**4 - 2*t**3 - 6*t**2 + 2*t + 539. Let k(d) = -181*d**4 + 3*d**3 + 9*d**2 - 3*d - 538. Let s(y) = 2*k(y) + 3*p(y). Differentiate s(n) wrt n.
724*n**3
Suppose i - 8 = 3*i + 5*w, -2*i = 2*w + 2. Let c = 5 + i. What is the second derivative of -19 + 19 - c*b**3 - 3*b wrt b?
-36*b
Let j(w) = -w**2 - 3*w + 3. Let s be j(-3). Find the second derivative of -10*p**4 + 4*p + s*p**4 + 2*p**5 + 7*p**4 wrt p.
40*p**3
What is the second derivative of -213*y**5 + 2*y**2 + 60*y + 0*y**2 - 1 - 1 - 1 + 225*y**5 wrt y?
240*y**3 + 4
Let h(x) be the first derivative of 0*x**2 + 6 + 0*x**3 + 16/5*x**5 + 0*x**4 + 5*x. Differentiate h(v) with respect to v.
64*v**3
Let k(j) = 164*j**3 + 2*j**2 - 8*j - 2. Let l(i) = 492*i**3 + 6*i**2 - 25*i - 7. Let s(o) = 7*k(o) - 2*l(o). Find the third derivative of s(n) wrt n.
984
Let c(h) = -36*h**2 + 32*h + 3. Let t(l) = 7*l - 10. Let j be t(1). Let p(u) = u**2 + 1. Let i(s) = j*p(s) + c(s). Find the second derivative of i(f) wrt f.
-78
Differentiate 222 + 186 - 5*h**2 + 175 + 24 + 21*h**3 with respect to h.
63*h**2 - 10*h
Suppose 0 = 2*t - 5*w + 181 - 184, -w - 3 = -t. Let z(f) be the first derivative of 0*f - 3/2*f**2 + t*f**3 - 3. What is the second derivative of z(p) wrt p?
24
Let g(x) be the first derivative of -92*x**3/3 + 324*x**2 + 272. What is the second derivative of g(n) wrt n?
-184
What is the second derivative of 729*o**3 + 2126*o - 49*o**3 - 2601*o wrt o?
4080*o
Let j(f) be the second derivative of 253*f**5/20 + f**4/4 + f**3/3 - 2*f + 33. What is the third derivative of j(u) wrt u?
1518
Let h(k) be the third derivative of 227*k**7/210 - 391*k**3/6 + 333*k**2. Differentiate h(f) wrt f.
908*f**3
Let z(t) be the second derivative of -59*t**8/56 - t**7/42 - 235*t**4/6 + 187*t. Find the third derivative of z(w) wrt w.
-7080*w**3 - 60*w**2
Differentiate 72 + 37 + 66*j + 42 wrt j.
66
Let h(q) = -135*q**3 - 11*q - 19. Let p(k) = k**3 + k - 1. Let w(n) = -h(n) - 6*p(n). Find the second derivative of w(j) wrt j.
774*j
Let a(t) = -67*t**3 + 442*t + 8. Let u(x) = -22*x**3 + 148*x + 3. Let k(i) = 3*a(i) - 8*u(i). What is the second derivative of k(w) wrt w?
-150*w
Suppose 29*m = 67 + 49. Let g(b) be the third derivative of -3*b**2 + 0*b - 2/3*b**3 + 1/15*b**5 + 0*b**m + 0. What is the derivative of g(o) wrt o?
8*o
Suppose 0 = -9*c + 4*c + 10. Suppose -12 = -5*n + c*d, 0 = -4*n + 4*d + 7 + 5. What is the second derivative of 2*r + 8*r**n + 2*r - 6*r - 2*r wrt r?
16
Let y(q) be the first derivative of 25*q**4/4 - q**3/3 + 9*q**2/2 - 5*q + 112. What is the second derivative of y(r) wrt r?
150*r - 2
Let l(s) be the third derivative of -s**4/24 + 2*s**2. Let w(k) = 3*k - 1. Let o(q) = -8*l(q) - 3*w(q). Differentiate o(g) wrt g.
-1
What is the second derivative of -63*p - 53*p**3 + 63*p**3 - 54*p + 112*p**3 wrt p?
732*p
Let q(d) be the second derivative of -46*d**5/5 + 72*d**2 - 2*d + 33. Differentiate q(b) with respect to b.
-552*b**2
Suppose -3*w - l = -3, w + 3*l = -9 + 2. Let j(o) = 2*o. Let p be j(w).