m = -w + 20. Suppose -q = m*q - 20. Find the second derivative of q*b - 7*b + 5*b + 3*b**3 wrt b.
18*b
Let a = 80 + -77. What is the third derivative of -3*i**2 + 4*i**2 - 39*i**a - i**3 - 8*i**2 wrt i?
-240
What is the third derivative of -538 - 50*c**2 + 4*c**6 + 119*c**6 - 531 + 1071 wrt c?
14760*c**3
Let n(x) = 8*x**2 - 9*x - 2. Let m be n(3). Find the third derivative of -8*o**4 - m*o**2 + 25*o**4 + 60*o**2 wrt o.
408*o
Let f = 20 + -20. Suppose -2 - 4 = 2*z + 4*h, f = -3*z - h + 6. What is the derivative of 3*n + 0 - 9 - z*n + 3*n**3 wrt n?
9*n**2
Let i(t) = t**2 - 6*t - 8. Suppose 16 = 5*d - 14. Let v(x) = x**2 + x + 1. Let f(p) = d*v(p) + i(p). What is the derivative of f(l) wrt l?
14*l
Let i(s) = -70*s**4 + 5*s**3 + 24*s + 59. Let j(k) = -35*k**4 + 2*k**3 + 11*k + 28. Let n(z) = 2*i(z) - 5*j(z). Find the second derivative of n(t) wrt t.
420*t**2
Let i(s) be the second derivative of 73*s**7/42 + s**3/3 - 26*s**2 + 55*s - 1. What is the second derivative of i(k) wrt k?
1460*k**3
Let o(q) = -7*q**3 + 6*q**2 + 33*q - 45. Let f(a) = a**3 - a**2 + 1. Let t(i) = -6*f(i) - o(i). Find the first derivative of t(p) wrt p.
3*p**2 - 33
Find the third derivative of 8*l**4 + 383*l**2 - 353*l**2 + 0*l**4 wrt l.
192*l
Differentiate -165*m**2 + 0*m - 4*m + 14*m + 168*m**2 - 79 wrt m.
6*m + 10
Suppose 14 - 4 = 2*r. Suppose -f = q - 2*q, 3*q - 3 = 0. Differentiate k - r*k**4 + f - 3*k + 2*k wrt k.
-20*k**3
Let b(w) = w. Let o = 1 - -3. Let a be b(o). What is the third derivative of -d**a + 4*d**6 + 4*d**2 + d**4 wrt d?
480*d**3
Let r(n) = -130*n**3 - 7*n**2 - 41. Let d(a) = -259*a**3 - 12*a**2 + a - 81. Let s(j) = -3*d(j) + 5*r(j). Find the second derivative of s(h) wrt h.
762*h + 2
What is the second derivative of -15 + 6*w**5 - 14*w + 15 - w**5 wrt w?
100*w**3
Let a be 90/8 + (-11)/44. Let n(u) = u**2 - 11*u + 10. Let k be n(a). Find the third derivative of k*w**3 + 6*w**2 - 7*w**3 - 3*w**2 wrt w.
18
Let i(c) = -36*c**2 + c. Let s(z) = -35*z**2 + 2*z. Let r be (0 + 10)*(-1)/(-2). Let a(x) = r*s(x) - 4*i(x). Find the second derivative of a(y) wrt y.
-62
Let u(o) = 37*o**3 + 3*o**2 - 3*o + 35. Let x(q) = 13*q**3 + q**2 - q + 12. Let m(h) = 6*u(h) - 17*x(h). Find the second derivative of m(z) wrt z.
6*z + 2
Let z(f) be the third derivative of 1/120*f**6 + 0*f**3 + 0*f + 18*f**2 + 0*f**4 + 7/10*f**5 + 0. What is the third derivative of z(u) wrt u?
6
Differentiate -62 + 1 - 36*w**2 - 643*w + 643*w wrt w.
-72*w
Suppose -3*h - 14 = 4*p + 45, 0 = -3*p - 2*h - 44. Let l = -8 - p. What is the third derivative of 2*m + 2*m**2 - 5*m + 3*m + 4*m**l wrt m?
480*m**3
Let q be (1 - 1)*3/9. Let j(s) be the third derivative of -7/60*s**5 - 9*s**2 + 0*s**3 - 7/24*s**4 + q*s + 0. What is the second derivative of j(z) wrt z?
-14
Suppose 3*b + 3*x = -0*x + 132, -2*b - x = -89. Let k = b + 0. What is the derivative of 45*n + 1 + 4*n**2 - k*n wrt n?
8*n
Let u(y) = -19*y**4 + 22*y - 8. Suppose -9 = 4*m - 41. Let w(s) = -13*s**4 + 15*s - 5. Let a(f) = m*w(f) - 5*u(f). What is the second derivative of a(b) wrt b?
-108*b**2
Let o(c) be the third derivative of 0 + 0*c**6 - 13/24*c**4 - 1/7*c**7 + 17*c**2 + 0*c + 0*c**3 + 0*c**5. What is the second derivative of o(u) wrt u?
-360*u**2
Let a be 3*4*(-3)/(-36)*7. Differentiate -10 - 18*v + 10*v - a*v wrt v.
-15
Let s be 2/(3 - (-16)/(-6)). Suppose -c = -s + 2. Differentiate 6*n**3 - 2*n**3 + c + 8*n**3 - 2*n**3 wrt n.
30*n**2
Let x(v) = 899*v + 110. Let r(w) = 897*w + 119. Let f(q) = -5*r(q) + 4*x(q). Find the first derivative of f(p) wrt p.
-889
Let i(g) = -20*g**5 + 6. Let k(f) = -30*f**5 + f**2 + 9. Let a(c) = -7*i(c) + 5*k(c). Find the third derivative of a(n) wrt n.
-600*n**2
Let v(s) be the third derivative of s**8/336 + 3*s**7/70 - 5*s**4/12 - s**3/6 - 70*s**2. Find the second derivative of v(c) wrt c.
20*c**3 + 108*c**2
Find the third derivative of 33*z**5 - 7*z**2 + 35*z**5 - 52*z**5 - z wrt z.
960*z**2
Let c(n) be the first derivative of n**9/252 - n**5/10 - 4*n**3 + 3. Let s(y) be the third derivative of c(y). What is the second derivative of s(o) wrt o?
240*o**3
Let m(u) = -23*u**2 - 80. Let c(x) = -69*x**2 - 240. Let d(k) = -2*c(k) + 7*m(k). Differentiate d(v) with respect to v.
-46*v
Suppose 5*v - 3*v + 2*y - 4 = 0, -4 = 4*y. Let r(g) = g**2. Let n(o) = -15*o**2 - 4*o. Let u(m) = v*r(m) - n(m). Find the second derivative of u(s) wrt s.
36
Let y(t) = -3*t**2 + 11*t + 8. Let a be y(4). Find the third derivative of 5*r**6 - 2*r**2 + 76*r - a*r**6 + r**5 - 75*r wrt r.
120*r**3 + 60*r**2
Let f(w) be the first derivative of 8*w - 14 + 36*w**3 - 17*w**3 - 21*w**3. Differentiate f(c) wrt c.
-12*c
Let i = 2 + 0. Let v(a) = 2*a**2 - a - 40. Let x be v(5). Differentiate i*t + x - 5*t - t with respect to t.
-4
Suppose 44*k - 41*k - 456 = 0. Differentiate 8*r**4 - 48 + k - 82 wrt r.
32*r**3
Let a = 65 - 61. What is the second derivative of 7*p + 24*p**3 - a + 4 - 3*p wrt p?
144*p
Let d(i) = -i**2 - i + 2. Let k(b) = 31*b**3 - 9*b**2 - 3*b + 5. Let j(u) = 6*d(u) - k(u). What is the second derivative of j(s) wrt s?
-186*s + 6
Let i(q) = -q**3 - 8*q**2 + 9*q - 9. Let m be i(-9). Let g = 11 + m. Find the third derivative of -t**4 - 7*t**g - t**2 + 8*t**4 wrt t.
168*t
What is the second derivative of -15*u**3 + 27*u**2 - 4*u + 6 + u - 56*u**2 + 28*u**2 wrt u?
-90*u - 2
Let l(j) = -434*j**3 + 5*j**2 + 258*j + 5. Let n(x) = -434*x**3 + 4*x**2 + 258*x + 4. Let v(w) = -4*l(w) + 5*n(w). What is the second derivative of v(h) wrt h?
-2604*h
Let u(b) = -319*b**3 - 4*b**2 + 129*b. Let a(r) = 1593*r**3 + 21*r**2 - 643*r. Let o(j) = -2*a(j) - 11*u(j). What is the third derivative of o(d) wrt d?
1938
Suppose 3*l - 6*l + 15 = 0, 5*m + 5*l - 45 = 0. Suppose -m*i = i - 10. What is the second derivative of 7*j**2 - 5*j**2 + i*j - 5*j wrt j?
4
Let i(f) be the first derivative of -19 - 47/3*f**3 - 1/2*f**2 + 17*f. What is the second derivative of i(u) wrt u?
-94
Let t(l) = 6*l + 42. Let p(s) = 1. Suppose 0 = -4*z + 2*w + 75 + 73, -3*w - 150 = -4*z. Let a(v) = z*p(v) - t(v). Differentiate a(m) wrt m.
-6
Let n(w) = 2*w**2. Let x(d) = -89*d**2 - 2*d + 3. Let h(i) = 3*n(i) - x(i). Find the second derivative of h(g) wrt g.
190
Let w(x) = -x**2. Let j(c) = -32*c**2 - 2*c + 45. Let g(f) = j(f) + 5*w(f). What is the derivative of g(l) wrt l?
-74*l - 2
What is the third derivative of 8*i**2 + 14*i**4 + 388*i**5 - 76*i**4 + 62*i**4 - 2*i wrt i?
23280*i**2
Let g(s) be the third derivative of 3*s**7/70 - s**6/40 - s**5/20 + 5*s**3/6 + 74*s**2. Find the third derivative of g(q) wrt q.
216*q - 18
Let a(c) be the second derivative of -365*c**7/42 + 23*c**4/6 - 748*c. Find the third derivative of a(s) wrt s.
-21900*s**2
Find the second derivative of -2*n**2 + 168*n**3 - 162*n**3 + 4*n - 1 + 2 wrt n.
36*n - 4
Let w(l) = -79*l - 12. Let c(x) = -78*x - 13. Let z(o) = 4*c(o) - 3*w(o). Differentiate z(p) wrt p.
-75
What is the first derivative of -187*o**3 - 207 - 202 - 292*o**3 wrt o?
-1437*o**2
Suppose -14*f + 15*f - 459 = 0. Find the second derivative of f - 20*h - 6*h**2 - 459 wrt h.
-12
Suppose 0*o = 3*o - 24. Suppose o*y - 12 = 4*y. Differentiate 5*b**y + 9 + 3*b - 3*b - 4*b**3 wrt b.
3*b**2
Let t(i) = 202*i**3 + 105*i**2 + 5*i + 10. Let h(f) = 202*f**3 + 106*f**2 + 6*f + 12. Let z(m) = -5*h(m) + 6*t(m). What is the third derivative of z(j) wrt j?
1212
Suppose 4*l - 7 = 3*l. Suppose j = -3*h + l, 3*h - 2*j + 4 = 8. What is the third derivative of 2*d**4 - 6*d**4 + d**2 - 2*d**h wrt d?
-96*d
Let p(b) be the second derivative of -35*b**5/2 - 13*b**3/6 + 3*b**2/2 - 4*b + 3. What is the second derivative of p(g) wrt g?
-2100*g
Let b = 11 + -9. Find the third derivative of c**5 - c**b - 3*c**5 - 3*c**2 wrt c.
-120*c**2
Let k(t) = 2*t**3 + 2*t**2 - 5*t + 4. Let h be k(1). Find the first derivative of -3*j**h + 18 - j**3 - 11*j**3 + 11*j**3 wrt j.
-12*j**2
What is the derivative of -123*y + 0*y + 127 - 36*y wrt y?
-159
Suppose -4*t - j + 120 = 4*j, -5*j - 90 = -3*t. Let f = t - 25. Find the second derivative of -6*h + 3*h**f + h - 6*h + 3*h wrt h.
60*h**3
Let u(r) = -r**3 + 11*r**2 - 4*r - 14. Let q be u(10). Suppose 4 = h, -99 - q = -3*b - 4*h. What is the first derivative of b + 0*y - 44 - 12*y**3 + 0*y wrt y?
-36*y**2
Let k = 17 - 0. Let g = k + -17. Find the third deriv