x**3
What is the first derivative of 111 - 80*k - 38*k - 68*k - 47*k wrt k?
-233
Suppose -5*h = -2*k - 20, -5*h - 3*k + 26 - 6 = 0. Find the third derivative of -4*m**4 + 6*m**2 - 13*m**2 + 9*m**6 + h*m**4 wrt m.
1080*m**3
Find the first derivative of 13*i - 209 + 20 - 4*i + 7*i + 11*i wrt i.
27
Suppose 0 = o - 2*x - 3, -3*o + 7*o + x = 21. Suppose -o*l = -77 + 32. Find the second derivative of -i + i + l*i**2 - 5*i + 2*i wrt i.
18
Let d(s) be the second derivative of 79*s**6/30 - 145*s**2/2 - 3*s + 14. What is the derivative of d(u) wrt u?
316*u**3
Let g = 5 + 1. What is the third derivative of -7*m**2 + 18*m**6 - m**2 - m**2 - 5*m**g wrt m?
1560*m**3
Let v = -2 - -2. Suppose 4*r - 8*r + 16 = v. What is the derivative of r - 4*f**3 + 9*f**3 - 3*f**4 - 5*f**3 wrt f?
-12*f**3
Suppose -2*j = -5*y - 27, 6*j = j + y + 125. Suppose -5*q + 34 = -j. What is the third derivative of n**3 + n**2 + n**3 - q*n**3 - 3*n**2 wrt n?
-60
Let q(b) be the second derivative of b**5/10 + 35*b**3/3 - 6*b**2 - 2*b + 2. What is the first derivative of q(s) wrt s?
6*s**2 + 70
Let t(i) be the second derivative of 13*i**5/30 - i**4/24 - 10*i**2 + 23*i. Let y(r) be the first derivative of t(r). Find the second derivative of y(z) wrt z.
52
Find the first derivative of 12*p**2 - 34 + 3*p**2 + 10*p**2 - 82 - 3*p - 3 wrt p.
50*p - 3
Let p(o) = -3*o**2 - 56*o + 62. Let f(c) = -2*c**2 + 1. Let z(u) = -f(u) + p(u). What is the derivative of z(x) wrt x?
-2*x - 56
Let g(i) be the third derivative of 11*i**7/210 + i**6/60 + i**5/30 + 7*i**4/8 - 138*i**2. What is the third derivative of g(b) wrt b?
264*b + 12
Find the second derivative of -37*c + 78*c - 190*c - 47*c**3 wrt c.
-282*c
Let j(m) be the second derivative of m**5/10 - 5*m**4/2 - 99*m**2/2 + m + 32. Differentiate j(d) with respect to d.
6*d**2 - 60*d
Let r(q) = -147*q**2 + q. Let b(w) = -293*w**2 + w + 1. Let s(a) = -2*b(a) + 5*r(a). What is the second derivative of s(p) wrt p?
-298
What is the second derivative of -3 - 10*w**2 + 42*w + 3 + 7 - 44*w wrt w?
-20
Let w(b) = 913*b**3 - 48*b**2 + 7*b - 6. Let s(i) = 913*i**3 - 47*i**2 + 5*i - 5. Let r(u) = 6*s(u) - 5*w(u). Find the third derivative of r(x) wrt x.
5478
Let t(h) be the first derivative of -12*h**7/7 - h**6/3 + 200*h**3/3 + 263. What is the third derivative of t(s) wrt s?
-1440*s**3 - 120*s**2
Let h(o) = 324*o**3 + 28*o - 334. Let t(p) = -65*p**3 - 6*p + 67. Let i(n) = 3*h(n) + 14*t(n). Differentiate i(u) wrt u.
186*u**2
Let z(d) be the second derivative of -7*d**6/15 + d**5/4 + 123*d**2/2 - d + 134. What is the derivative of z(y) wrt y?
-56*y**3 + 15*y**2
Find the second derivative of 1254 + 16*p - 71*p - 1254 - 2*p**2 - 30*p**4 wrt p.
-360*p**2 - 4
Suppose -42 = -4*x + u, 3*u + 1 = -x + 5. Suppose 20 = x*h - 5*h. Differentiate -1 + 0 + 0*z**4 + 2*z**h with respect to z.
8*z**3
Suppose 4*b = o + 5*b - 1, -4*o - 3*b = -5. Find the second derivative of 17*g + 2*g - 5*g - g**2 - 15*g**o wrt g.
-32
Let u(r) be the third derivative of 0*r**4 + 0*r + 0 + 0*r**6 + 2*r**3 - 2/15*r**7 + 0*r**5 - 35*r**2. Differentiate u(w) with respect to w.
-112*w**3
Let v(c) be the first derivative of 17*c**7/42 + 5*c**4/12 + 23*c + 28. Let l(a) be the first derivative of v(a). What is the third derivative of l(m) wrt m?
1020*m**2
What is the derivative of -950*k + 1719*k - 884*k + 105 wrt k?
-115
Let y(p) = p**2 - 2*p. Let g = 12 - 10. Suppose g*q = 11 - 3. Let k(b) = b**2 - 3*b. Let n(r) = q*k(r) - 5*y(r). Find the second derivative of n(l) wrt l.
-2
Suppose -5*s + 32 = -18. Let l be 1328/s + (-4)/(-20). What is the second derivative of 4*y - 133*y**4 - 5*y**5 + l*y**4 wrt y?
-100*y**3
Let n(q) be the second derivative of -19*q**7/14 - q**3/2 - 75*q**2/2 - 43*q. What is the second derivative of n(k) wrt k?
-1140*k**3
What is the second derivative of w**5 + 117*w + 280*w**3 + 91*w + 26*w - 274*w**3 wrt w?
20*w**3 + 36*w
Find the first derivative of 150 - 77 + 114*p**2 + 47 wrt p.
228*p
Let d = 10 - 6. What is the second derivative of -7*y - y**2 - y**2 + d*y wrt y?
-4
Let f(w) be the third derivative of 29*w**6/30 + 65*w**3/6 - 76*w**2. Find the first derivative of f(n) wrt n.
348*n**2
Let f(n) be the second derivative of 8*n + 0*n**4 + 0*n**5 + 11/30*n**6 + 0 + 0*n**3 - 9/2*n**2. Differentiate f(s) with respect to s.
44*s**3
Suppose -3*d - 4*b + 31 = 0, 2*d + 3*b = -3*d + 59. Find the third derivative of 15*v**4 - 9*v**2 - d*v**4 - 3*v**2 wrt v.
48*v
Let l(o) = 7*o**2 - 10*o - 69. Let p(b) = -6*b**2 + 12*b + 68. Let z(a) = -5*l(a) - 4*p(a). Find the first derivative of z(h) wrt h.
-22*h + 2
Let j(a) be the third derivative of 4*a**6/5 - 235*a**4/24 - 122*a**2. What is the second derivative of j(f) wrt f?
576*f
Suppose 331*f = 338*f. Let m(p) be the second derivative of 1/3*p**3 + p - 3*p**2 + f. Find the first derivative of m(y) wrt y.
2
Let j(p) be the third derivative of -p**7/7 - p**5/60 - p**3/3 - 86*p**2. What is the third derivative of j(z) wrt z?
-720*z
Let i = 3 + 0. What is the second derivative of -10*k**3 + 0*k**i - 8*k - 17*k wrt k?
-60*k
Let n(d) = -88*d - 76. Let a(y) = -1230*y - 1065. Let v(s) = 4*a(s) - 55*n(s). Find the first derivative of v(w) wrt w.
-80
Let t(s) be the third derivative of -227*s**7/210 - 5*s**4/24 - 5*s**3/6 + 47*s**2 + 4*s. What is the second derivative of t(i) wrt i?
-2724*i**2
Let v = 96 + -91. What is the second derivative of -36*b**v + 26*b + 14*b**5 - 6*b wrt b?
-440*b**3
What is the third derivative of 101*w**2 + 42*w - 80*w**6 - 23*w**2 - 42*w wrt w?
-9600*w**3
Let i(l) be the third derivative of 0 - 1/10*l**5 + 0*l**4 + 0*l + 11/6*l**3 - 36*l**2. Differentiate i(o) with respect to o.
-12*o
Let w be (1 + -2 - -3) + -2. Suppose w*q + 4 = q. Find the second derivative of -132*z**2 + 132*z**2 + 6*z**5 + q*z wrt z.
120*z**3
Let r(l) = 3*l - 7. Let f be r(3). Let d(t) = t**2 + 3*t - 1. Let a be d(f). What is the first derivative of 11 + 4*y**2 - 14 + a wrt y?
8*y
What is the third derivative of p**5 - 2*p**5 + 19076*p**4 - 55*p**2 + 299*p**2 - 18979*p**4 wrt p?
-60*p**2 + 2328*p
Let f(b) be the second derivative of -3*b**7/280 + b**6/72 + 5*b**3/3 + 9*b. Let p(t) be the second derivative of f(t). Find the third derivative of p(k) wrt k.
-54
Let w(k) be the second derivative of -62*k**4/3 - 89*k**3/6 + k + 39. What is the second derivative of w(b) wrt b?
-496
Suppose -a + 4 = -6. Suppose -4*d = d - a. What is the third derivative of d*u**2 - 3*u**4 - 5*u**4 + u**4 + u**4 wrt u?
-144*u
Let i(j) = 19*j**2 - 22*j + 6. Let r(n) = -378*n**2 + 441*n - 119. Let h(y) = 119*i(y) + 6*r(y). Find the second derivative of h(l) wrt l.
-14
Suppose 211 = 2*f + 2*q + 37, -3*q = 4*f - 344. What is the third derivative of -2*r**2 + 2*r - f*r**4 + 42*r**4 + 43*r**4 + 18*r**3 wrt r?
48*r + 108
Let o(y) = 82*y**4 - 2*y**3 + 2*y**2 - 501. Let d(s) = -163*s**4 + 5*s**3 - 5*s**2 + 1002. Let q(z) = -2*d(z) - 5*o(z). Find the first derivative of q(n) wrt n.
-336*n**3
Find the second derivative of 7*a**3 + 642*a**2 - 1246*a**2 - 2 + 11*a + 626*a**2 wrt a.
42*a + 44
Find the first derivative of 0 - 34 - 1 - 3*d**4 - 63*d**4 wrt d.
-264*d**3
Let a = -136 - -138. What is the derivative of 23 + 2*b**a - 2*b**2 + b**2 - 20*b - 3*b**2 wrt b?
-4*b - 20
Suppose 0 = 3*g - 12, -12 = -2*h - 4*g + 6. Suppose q - 2*a - h = 0, q - a = 4*q - 38. Find the second derivative of -2*y - y - q*y**4 + 9*y**4 wrt y.
-24*y**2
Find the first derivative of -148*l + 137 + 116 - 64 + 51 wrt l.
-148
Let t be (1 - 2)/(2/(-10)). Let f = -1219 + 1226. What is the second derivative of -k**5 - k**5 - f*k**5 - 3*k - k**t wrt k?
-200*k**3
What is the third derivative of 53*t**2 - 25*t**2 - 21*t**2 - 22*t**2 - 15*t**3 wrt t?
-90
Let a(c) = c**3 + c**2 - 2*c + 1. Let r(x) = -720*x**3 - 82*x**2 - 6*x + 3. Let m(d) = 3*a(d) - r(d). What is the third derivative of m(s) wrt s?
4338
Let q(l) be the first derivative of -24*l**5/5 + 123*l + 127. Differentiate q(v) with respect to v.
-96*v**3
Let c be -5 + 5 - (0 + -4). Differentiate 11 - 5*k**4 + 5*k**4 + c*k**4 - k**4 wrt k.
12*k**3
Let n(c) be the third derivative of 3*c**7/35 + c**6/60 + 95*c**3/3 + 165*c**2 + 2. Differentiate n(g) wrt g.
72*g**3 + 6*g**2
Let c(f) = -f - 5. Let z be c(-5). Suppose z - 16 = -4*w. What is the derivative of -w - 20*g + 6*g + 8*g 