et r(m) = m**4 - 7*m**2 - 7*m - 7. Let l(v) = d*r(v) + 7*q(v). Differentiate l(x) wrt x.
-16*x**3
Let k be -2*4/6*-3. Suppose 5*d + 1 = -k*b, 1 = -3*b - 4*d - 0*d. Differentiate -2*j + 3*j - 3*j - 3*j - b wrt j.
-5
Let k(m) = -m - 1. Let y = -8 - -2. Let i be k(y). Differentiate h + i - 6 + 6 wrt h.
1
Find the second derivative of 58*h + 2*h**3 + 1906*h**2 - 1906*h**2 - h**4 wrt h.
-12*h**2 + 12*h
Let c = -7 - -16. Suppose j - c + 1 = 0. What is the second derivative of 11*f + j*f**3 + 0*f - 2*f wrt f?
48*f
Let m(z) be the first derivative of 29 + 0*z + 1/2*z**4 + 0*z**3 - 2/5*z**5 - 10*z**2. Find the second derivative of m(c) wrt c.
-24*c**2 + 12*c
Let h(f) = -9*f - 26. Let p(w) be the first derivative of -3*w**2/2 - 9*w + 22. Let b(o) = -2*h(o) + 7*p(o). Differentiate b(r) wrt r.
-3
Let o(l) = -l**2 - 8*l - 1. Let h be o(-8). Let r be (h/1)/(3/(-6)). Find the third derivative of 3*j**4 - r*j**4 + 0*j + 0*j + 8*j**2 wrt j.
24*j
Let o(k) be the second derivative of 4*k**5/5 - 103*k**2/2 - 89*k. Differentiate o(d) with respect to d.
48*d**2
Suppose -5*j + 10 + 10 = 0. Find the first derivative of 6 - j - 5 - 4*w wrt w.
-4
Let y(l) = 7*l**2 + 226*l + 1133. Let d(k) = 3*k**2 + 113*k + 567. Let r(x) = -5*d(x) + 2*y(x). What is the derivative of r(c) wrt c?
-2*c - 113
Let g(p) be the second derivative of 105*p**4/4 + 7*p**2/2 - 5*p - 25. What is the derivative of g(y) wrt y?
630*y
Let x(m) = -1026*m**2 + 567*m - 22. Let o(i) = 770*i**2 - 426*i + 16. Let c(v) = 11*o(v) + 8*x(v). What is the second derivative of c(r) wrt r?
524
Suppose 23 = 5*x - 7. Let c = x + 0. Differentiate 1 + c*n**2 - 3 + 3 + 3 with respect to n.
12*n
Let f(u) be the second derivative of 17*u**6/10 + 6*u**2 - 16*u. Differentiate f(n) with respect to n.
204*n**3
Suppose 3*o + 4*r + 67 = 0, -o = -4*r + 23 + 10. Let w be (-85)/o - 2/5. Find the second derivative of -5*v**3 + 10*v**w - 9*v + v**3 wrt v.
36*v
Let h = -78 - -38. Let m be (-2 - -1) + h/(-8). Differentiate d**2 - d**2 + 7 - m - d**2 with respect to d.
-2*d
Let l(x) be the first derivative of 0*x**2 - 17/3*x**3 + 0*x**6 + 3/7*x**7 - 5 + 0*x**5 + 0*x**4 + 0*x. What is the third derivative of l(b) wrt b?
360*b**3
What is the derivative of 18 - 44 + 159 + 9*p**2 - 96*p**2 wrt p?
-174*p
Let f(r) = 261*r**4 - 6*r**2 - 21*r + 6. Let v(g) = -261*g**4 + 5*g**2 + 20*g - 5. Let m(q) = 4*f(q) + 5*v(q). Find the second derivative of m(b) wrt b.
-3132*b**2 + 2
Let h(k) be the second derivative of -139*k**5/20 - 23*k**2/2 - 4*k + 24. Find the first derivative of h(m) wrt m.
-417*m**2
Let i(f) be the first derivative of -28*f**4 + 203*f**3/3 + 577. Find the third derivative of i(a) wrt a.
-672
Suppose -3*u + 49 = -2*q, -4*q = -2*u - 0*q + 38. Differentiate -37 - 43*k**3 + 20 + 22 + u with respect to k.
-129*k**2
Differentiate -62*u**2 + 30*u**2 + 27*u**2 + 213 + 15*u**2 + 24*u**2 with respect to u.
68*u
Let n(b) be the first derivative of -11*b**9/504 - b**5/12 - 11*b**2/2 + 11. Let v(y) be the second derivative of n(y). Find the third derivative of v(o) wrt o.
-1320*o**3
Let i be (35/(-14))/(1/4). Let a = i + 13. Find the second derivative of 7*o + 7*o - a*o**5 - 6*o wrt o.
-60*o**3
Let f be -1 + 3 + -2 + 4. Suppose 0 = f*o - p + 6*p - 8, -4*p = 0. What is the third derivative of 3*y**5 + 6*y**2 + 3*y**5 - 4*y**o - 5*y**2 wrt y?
360*y**2
Suppose -4*q - 4 - 29 = -5*z, 3*z = -5*q + 42. Let n be (30/z*-12)/(-1). Differentiate -n - o**4 + 0*o**4 + 38 wrt o.
-4*o**3
Let f(g) = -g**3 + g - 2. Let a be f(0). Let t(m) = 77*m - 41. Let v(j) = -19*j + 10. Let i(o) = a*t(o) - 9*v(o). Find the first derivative of i(y) wrt y.
17
Let r(v) be the third derivative of 13*v**8/48 - v**5/12 + v**3/2 + 2*v**2 - 36*v. Find the third derivative of r(g) wrt g.
5460*g**2
Let g(c) be the second derivative of 65*c**4/6 + 35*c**3/3 - 10*c. Find the second derivative of g(m) wrt m.
260
Suppose 4*k + 4 = 5*k. Let o be 3*(-2)/(-3)*k. What is the second derivative of o*u + 23*u**2 - 14*u**2 - 14*u**2 wrt u?
-10
Let i(m) = m**2 + m + 1. Let r(g) = 4*g**4 + 8*g**2 + 8*g + 16. Let c = 38 + -37. Let n(p) = c*r(p) - 8*i(p). What is the derivative of n(d) wrt d?
16*d**3
Let b(s) = -s**3 - s - 1. Let u(p) = 2*p**3 + 3 + 24*p - 7*p**3 - 4 + 5. Let h(r) = 4*b(r) + u(r). Find the second derivative of h(y) wrt y.
-54*y
Let r(i) be the first derivative of -17*i**4/2 + 28*i**3 - 146. What is the third derivative of r(a) wrt a?
-204
Suppose 0 = 5*n + 11 - 71. Let m = 13 - n. Find the first derivative of 15*w - 15*w - 2 + 10*w**4 + m wrt w.
40*w**3
Suppose w + 2*u - 3 = -0, 5*w + 5*u - 10 = 0. Differentiate 1 - w + 0 + 4 - 9*y**3 with respect to y.
-27*y**2
Let q(z) be the first derivative of 21*z + 2 + 4*z**2 - 11*z + 3*z**2 + 2. What is the first derivative of q(n) wrt n?
14
What is the derivative of 19*o**2 + 77 + 5*o - 26*o**2 - 11*o**2 + 204 wrt o?
-36*o + 5
Let w(f) = 458*f**2 - 5*f + 314. Let u(c) = -452*c**2 + 6*c - 315. Let m(g) = -5*u(g) - 6*w(g). Differentiate m(k) wrt k.
-976*k
Let t(w) = w**3 + 2*w**2 + 51*w - 275. Let b(p) = 3*p**3 - 2*p**2 + p - 1. Let m(g) = b(g) + t(g). Differentiate m(u) wrt u.
12*u**2 + 52
Differentiate -26 - 7*b + 7*b + 111 - 13*b**3 + 39 with respect to b.
-39*b**2
Let p be ((7650/(-119))/(-25))/(8/7). Let x(y) be the first derivative of -p*y**4 - 6 + 0*y - 10/3*y**3 + 0*y**2. What is the third derivative of x(k) wrt k?
-54
Differentiate 386*p**3 + 43*p**4 - 388*p**3 + 0*p**4 - 23 wrt p.
172*p**3 - 6*p**2
Let l(q) be the second derivative of -7*q**6/30 - q**5/4 - 118*q**2 + 2*q - 155. Find the first derivative of l(v) wrt v.
-28*v**3 - 15*v**2
What is the third derivative of -2*x**4 + 34*x**2 + 84*x**5 - 29*x**5 + 3*x**4 + 97*x**2 + x**4 wrt x?
3300*x**2 + 48*x
Let a(m) = -359*m**3 - 3*m**2 + 238*m + 3. Let j(q) = -q**2 - q + 1. Let r(y) = -a(y) + 3*j(y). Find the second derivative of r(f) wrt f.
2154*f
Suppose -b = -2*b - 1, -5*z + 6 = 4*b. Differentiate -26*i**4 - 2*i**z + 6 + 2*i**2 with respect to i.
-104*i**3
Let r(o) be the first derivative of -5*o**6/6 - 58*o**3 - 497. Find the third derivative of r(m) wrt m.
-300*m**2
Suppose 0 = 4*h - 3*m - 19, 0 = -h - 3*m - m. What is the second derivative of 31*t**h + 5*t + 14*t - 3*t - 2*t wrt t?
372*t**2
Let u(j) = j**3 + j**2 - j. Let r(h) = -529*h**3 + 322*h**2 + 5*h. Let s(b) = -r(b) - 5*u(b). What is the third derivative of s(y) wrt y?
3144
Suppose 3*x - 549 = -0*x. What is the derivative of 117 - x - 29*c**4 + 91 wrt c?
-116*c**3
Suppose -14*j + 4 = -12*j. Differentiate 58 + 7*m**3 + m**3 - 6*m**3 + m**3 - 14*m**j wrt m.
9*m**2 - 28*m
Let q(l) be the second derivative of -l**8/28 + 21*l**5/10 - 25*l**4/3 - l + 36. Find the third derivative of q(y) wrt y.
-240*y**3 + 252
Let a(p) be the second derivative of p**6/2 + 44*p**2 - 99*p. What is the derivative of a(q) wrt q?
60*q**3
Let i(q) be the third derivative of 5*q**9/504 + 31*q**6/120 + 32*q**5/5 - 207*q**2. Find the third derivative of i(n) wrt n.
600*n**3 + 186
Let u(j) = -8*j**4 + 27. Let p(d) = -3*d - 27. Let b be p(-12). Let z(o) = 15*o**4 - 55. Let t(l) = b*u(l) + 4*z(l). Find the first derivative of t(c) wrt c.
-48*c**3
Let t(y) = 194*y**3 - 14*y**2 + 7*y + 47. Let x(i) = -97*i**3 + 8*i**2 - 4*i - 24. Let k(b) = -4*t(b) - 7*x(b). What is the first derivative of k(h) wrt h?
-291*h**2
Let o(z) = -843*z**5 + 5*z**4 - 5*z**3 - 218*z**2 - 5*z. Let f(b) = b**4 - b**3 + b**2 - b. Let t(y) = 5*f(y) - o(y). Find the third derivative of t(d) wrt d.
50580*d**2
Let u(c) be the first derivative of 0*c**3 + 4 - 2*c**3 + c**3 + 2 - 11*c. Differentiate u(n) with respect to n.
-6*n
Let v(d) be the first derivative of -d**7/840 + 7*d**5/30 + d**3/3 - 28. Let q(u) be the third derivative of v(u). Find the second derivative of q(s) wrt s.
-6*s
Let i(a) be the third derivative of -23*a**2 + 0 + 1/12*a**6 - 3/8*a**4 + 0*a + 0*a**5 + 0*a**3. Find the second derivative of i(d) wrt d.
60*d
What is the second derivative of 38*z**3 - 84*z**5 + 41*z**3 + 45*z - 79*z**3 wrt z?
-1680*z**3
Suppose 3*i - 2*v - 835 = 0, -3*i + 5*i - 2*v = 556. What is the second derivative of i*n**2 + 6*n - 16*n - 294*n**2 wrt n?
-30
Let d(l) be the second derivative of -13/6*l**3 + 0*l**4 + 0 + 7*l + 0*l**2 - 3/20*l**5. Find the second derivative of d(x) wrt x.
-18*x
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