 q + 1. Let r(n) = i*l(n) + h(n). What is the derivative of r(m) wrt m?
-15
Let u(d) be the third derivative of d**7/210 + 11*d**6/120 - 17*d**4/24 - d**3/6 - 52*d**2. Find the second derivative of u(k) wrt k.
12*k**2 + 66*k
Suppose -1 = v + 4. Let b = v + 8. What is the derivative of 3*i + 0 + 5 + i - b wrt i?
4
Let a(k) = k**3 + 9*k**2 + 10*k + 18. Let q be a(-8). Find the third derivative of -5*y**q + 35*y**2 - 8*y**6 + 3*y**6 wrt y.
-600*y**3
Let y(z) = -z**3 + 4*z**2 + 5*z + 5. Let d be y(5). Find the second derivative of -36*x + 7*x**4 + 3*x**4 - 3*x**4 + d*x**4 wrt x.
144*x**2
What is the third derivative of -60*a**4 - 184*a**2 + 20*a**5 - 63*a**4 + 125*a**4 + 22*a**5 wrt a?
2520*a**2 + 48*a
Let h = -3 + -5. Let q(k) = -k**2 + k + 2. Let r = -2107 - -2105. Let u(n) = -8. Let y(f) = h*q(f) + r*u(f). Find the second derivative of y(w) wrt w.
16
What is the second derivative of 74*i**2 - 171*i**3 - 107*i**2 + 30*i + 33*i**2 wrt i?
-1026*i
Let h(f) be the third derivative of 0 + 0*f + 0*f**6 - 11/210*f**7 + 0*f**3 + 11*f**2 + 0*f**4 - 2/15*f**5. What is the third derivative of h(v) wrt v?
-264*v
Suppose -4*r + 2*r = -42. Let o = r + -16. What is the third derivative of 2*t**2 - 7*t**5 + 11*t**o + 6*t**5 wrt t?
600*t**2
Suppose 0*n + n = 2*s - 11, -3*n - 28 = -5*s. Let h = -7 - -10. What is the derivative of -5*o**4 + o**4 - s*o**4 + h wrt o?
-36*o**3
Let a(m) be the second derivative of -m**7/14 + 5*m**5/2 + 7*m**3/6 - 5*m**2/2 - 471*m. What is the second derivative of a(h) wrt h?
-60*h**3 + 300*h
Suppose -5*s - 21 + 6 = -p, 3*p - 15 = 5*s. Differentiate 3 - 25*n - 6 + p wrt n.
-25
Let t(m) = m + 17. Let c be t(-15). Find the third derivative of -10*q**2 - 15*q**2 - 16*q**3 + 33*q**c wrt q.
-96
Find the second derivative of 0 + 29*x**4 - 197*x + 123*x**4 + 142*x - 2 wrt x.
1824*x**2
Let r(c) be the first derivative of c**5/5 + 11*c**4/4 + 74*c - 35. What is the derivative of r(g) wrt g?
4*g**3 + 33*g**2
Let d(m) be the first derivative of 0*m + 0*m**2 + 8 - 7/2*m**4 + 5/3*m**3. Find the third derivative of d(i) wrt i.
-84
What is the third derivative of 248*o**3 + 407*o**3 - 357 + 366 + 6*o**2 wrt o?
3930
Let w = -3 + 9. What is the second derivative of 20*m**3 - 4*m - 10*m**3 + w*m wrt m?
60*m
Let k be (-1)/(-5) - (-234)/30. Suppose 6*h - 4*h = k. Find the first derivative of -2 - 4 + 3*j**2 - 6 + h wrt j.
6*j
Let j(t) = -4*t - 10. Let i be j(-5). Differentiate -q**3 + 5 + q**3 - i*q**3 wrt q.
-30*q**2
Let x be (2 - 5 - -10) + -4. Let f(b) = 31*b + 23. Let j(a) = 16*a + 11. Let q(t) = x*f(t) - 5*j(t). Differentiate q(i) wrt i.
13
Let c(h) = 7*h**2 + 23*h + 106. Let w(i) = -8*i**2 - 24*i - 107. Let y(d) = 5*c(d) + 4*w(d). What is the first derivative of y(x) wrt x?
6*x + 19
Let m(i) = 5*i**4 + 8*i**2 - 1. Let w(r) = 1 + r - r**4 - r - r**2. Suppose 6*t + 3*t = 9. Let z(d) = t*m(d) + w(d). Find the third derivative of z(p) wrt p.
96*p
Let d(h) = -8*h - 14. Let x(p) = -23*p - 41. Let i(y) = 8*d(y) - 3*x(y). Let n(t) = 10*t + 23. Let a(m) = 5*i(m) - 3*n(m). What is the derivative of a(c) wrt c?
-5
Let g(d) = -3*d + 5. Let y be g(-4). Find the second derivative of -40*u - 26*u + 38*u - 11*u**4 - y*u**4 wrt u.
-336*u**2
Let z be 0 + 18 + -4 - (-1 + 4). What is the second derivative of -72*w**4 + 69*w**4 + 9*w + z*w wrt w?
-36*w**2
Let l(v) = 199*v**3 - 8*v**2 - 7*v - 5. Let t(o) = 598*o**3 - 22*o**2 - 19*o - 14. Let x(u) = 11*l(u) - 4*t(u). Find the second derivative of x(c) wrt c.
-1218*c
Let l(y) be the first derivative of 0*y**4 + 0*y**5 - 5*y**2 - 26 + 22/3*y**6 + 0*y**3 + 0*y. Find the second derivative of l(z) wrt z.
880*z**3
Let c(q) = 189*q**2 + 4*q - 125. Let o(k) = -382*k**2 - 9*k + 249. Let w(x) = 9*c(x) + 4*o(x). What is the first derivative of w(r) wrt r?
346*r
Let i be 2/(4/9 + 4/(-18)). Find the third derivative of 21*u**2 + 2*u**4 - u**4 + i*u**5 - u**4 wrt u.
540*u**2
What is the first derivative of -76*q + 30*q + q**2 + 50*q + 36 wrt q?
2*q + 4
Let d(m) be the first derivative of 0*m**5 - 4/3*m**6 + 0*m**4 + 0*m - 4*m**3 - 4 + 0*m**2. What is the third derivative of d(u) wrt u?
-480*u**2
Let q(x) = 206*x**4 + 25*x**3 - 3*x**2 + 12*x + 46. Let t(n) = 4*n**3 + 2*n + 1. Let s(k) = q(k) - 6*t(k). What is the third derivative of s(p) wrt p?
4944*p + 6
What is the second derivative of -16*w + 211 - 108 + 25*w**2 - 102 wrt w?
50
Suppose -5*s + 21 = -3*f, -f = -s + 2*f - 3. Find the second derivative of -s*u + 13*u**5 - 10*u**5 - 4*u**5 wrt u.
-20*u**3
Let s(l) = -9*l. Let x(k) = k + 1. Let a be x(4). Let b(i) = -i**2 + 9*i. Let n(j) = a*b(j) + 6*s(j). What is the second derivative of n(m) wrt m?
-10
Let l be (-10)/(-4)*(-4)/(-5). Suppose -l*k + 3*k - 18 = -4*t, 2*t + 18 = 4*k. Find the first derivative of 3 + 2 + 8*b - k*b wrt b.
2
Suppose 16 - 10 = 3*b. Let m(y) = y**3 + y - 1. Let f(q) = -15*q**3 + 8*q - 1. Let n(x) = b*m(x) - 2*f(x). Find the second derivative of n(v) wrt v.
192*v
Let p(s) = s**2 - 8*s + 22. Let k(y) = -y**2 - y + 2. Suppose 2*o + 13*o = 45. Let t(b) = o*k(b) + p(b). Differentiate t(g) with respect to g.
-4*g - 11
What is the third derivative of 3 - 27*s**3 - 74*s**2 + 220*s**2 - 3 wrt s?
-162
Let z(k) = k**3 + 4*k**2 - 3*k - 1. Let q be z(-3). Suppose 3*x + 5*i = q, 2*x - 5*x = 2*i - 14. Find the second derivative of 12*n - 4*n - 5*n**x - 12*n wrt n.
-60*n**2
Let n = -25 + 31. Suppose -2*i = -n*i. Find the first derivative of -4*x**3 - 5*x**3 + 0 + i*x**3 - 7 wrt x.
-27*x**2
Suppose -5*u + 5 = 5*x - 4*u, -4*x - 3*u = 7. Let l be (16/20)/(x/10). What is the first derivative of -4 - k**l + 2*k**4 - 2*k**4 wrt k?
-4*k**3
Let s be (-4)/(-6) + (-20)/(-15). Suppose 4*g = 2*b, -24 = -4*g - 0*g - 4*b. Differentiate 0*w**2 + 10*w**s - 6*w**g - 4 with respect to w.
8*w
Let l(y) = -y**3 + y**2 + y - 1. Let j(t) = 7*t**3 - 5*t**2 + 34*t + 5. Let z(w) = -j(w) - 5*l(w). What is the second derivative of z(q) wrt q?
-12*q
Let c be (-18 - -3)/((-3)/2). Find the second derivative of 10*t**3 + c*t - 30 + 30 + 7*t**3 wrt t.
102*t
Find the second derivative of 166*l + 10*l**3 - 29*l + 9*l**2 - 10*l**3 + 8*l**5 wrt l.
160*l**3 + 18
Let d = 11 - 30. Let t = 26 + d. What is the second derivative of -2*y**5 + 5*y**5 - 6*y**5 + t*y wrt y?
-60*y**3
Let z(v) be the first derivative of 23*v**4/12 - 7*v**3/3 - 20*v - 12. Let f(q) be the first derivative of z(q). Find the second derivative of f(w) wrt w.
46
Find the second derivative of 0*i**4 - 1 - 5 + 11 + 3*i**4 + 23 - i**3 - 2*i wrt i.
36*i**2 - 6*i
Let z = 54 - 18. Suppose -z = -3*b - 3*v, -7*b + 5*v - 11 = -5*b. Find the third derivative of -15*p**4 + 18*p**2 - b*p**2 - 12*p**5 + 15*p**4 wrt p.
-720*p**2
What is the third derivative of -3*s**2 + 22*s**2 + 16*s**2 - s + 616*s**4 + 0*s**2 wrt s?
14784*s
Suppose -2*x = -5*v + x + 27, v = x + 7. Suppose 3*o - v*g = 24, 2*g - 36 = -2*o - g. Differentiate o*l**3 - l - 6 + 0 + l wrt l.
36*l**2
Let t(q) be the third derivative of -15*q**8/8 + 269*q**5/60 - q**3/3 + 513*q**2. What is the third derivative of t(g) wrt g?
-37800*g**2
Let q(x) = 22*x**3 + 142*x**2 + 222*x + 12. Let t(l) = 9*l**3 + 57*l**2 + 89*l + 5. Let b(i) = 5*q(i) - 12*t(i). What is the second derivative of b(m) wrt m?
12*m + 52
Let o(d) = 8*d**3 - 12*d**2 - 42*d + 3. Let j(x) = 12*x**3 - 12*x**2 - 43*x + 4. Let w(q) = -3*j(q) + 4*o(q). What is the second derivative of w(k) wrt k?
-24*k - 24
What is the derivative of 5897*q**3 + 44 - 5897*q**3 + 63*q**4 wrt q?
252*q**3
Suppose -3*q = -r - 101, -4*r - 148 = -q - 3*q. What is the third derivative of -2*n**2 + 15*n**2 + q*n**3 + 21*n**2 wrt n?
192
Let p(r) be the first derivative of 8 - 26*r**4 - 31 - 6*r + 24*r**4 - 2*r. Find the first derivative of p(q) wrt q.
-24*q**2
Let v(m) be the third derivative of -1/12*m**6 + 0*m + 0*m**3 - 1/12*m**4 - 18*m**2 + 0 + 0*m**5. Find the second derivative of v(c) wrt c.
-60*c
Let b(f) = -7*f**4 + 371*f**3 + 96*f**2 + 24*f + 6. Let u(k) = k**4 + k**2 - 4*k - 1. Let a(r) = -b(r) - 6*u(r). What is the third derivative of a(h) wrt h?
24*h - 2226
Let n(a) be the second derivative of -3*a**8/56 - a**5/60 + 2*a**2 + 11*a. Let g(d) be the first derivative of n(d). What is the third derivative of g(l) wrt l?
-1080*l**2
Let n(q) be the second derivative of -q**4/6 - 25*q**2/2 - 67*q. Differentiate n(