hat is the third derivative of -5*s**k - s**2 + 32*s**3 + 2*s**2 + 4*s**2 wrt s?
162
Differentiate 364*q**3 + 602*q - 602*q + 303 - 2*q**4 with respect to q.
-8*q**3 + 1092*q**2
Let g(f) = -f - 2. Let u be g(-6). What is the third derivative of 25*w - 11*w - 14*w + 9*w**u + 11*w**2 wrt w?
216*w
Find the third derivative of -18 + 29 - 11 + 317*d**2 + 311*d**4 - 75*d**4 wrt d.
5664*d
Suppose -10*o - 1640 = -14*o. Suppose -j + 2*i = -4*j + o, j - 120 = -4*i. What is the second derivative of j*m**2 + 3*m + 4*m**3 - 140*m**2 wrt m?
24*m
Let x = -44 + 65. Let y be x/12 + (-4)/(-16). Find the second derivative of 4*r**5 + 0*r + r + 4*r**2 - 4*r**y wrt r.
80*r**3
Let i be (-8)/(-3)*(-2 + 8). What is the third derivative of 1 - 30*j**6 + 5*j**6 - 1 + i*j**2 wrt j?
-3000*j**3
Let x(j) be the third derivative of -j**6/8 + j**4/24 + 76*j**3/3 - 12*j**2 - 5*j. Find the first derivative of x(l) wrt l.
-45*l**2 + 1
Let k(l) = -440*l**2 - 668*l + 5. Let j(r) = -219*r**2 - 334*r + 2. Let w(f) = -5*j(f) + 2*k(f). What is the second derivative of w(d) wrt d?
430
What is the third derivative of 49*k**2 + 189*k**2 + 131*k**5 + 79*k**2 - 46*k**2 wrt k?
7860*k**2
Let t(n) = 371*n**3 + 3*n**2 + 134*n + 12. Let o(g) = 743*g**3 + 5*g**2 + 269*g + 21. Let f(m) = -4*o(m) + 7*t(m). What is the third derivative of f(a) wrt a?
-2250
Let l(f) be the third derivative of 179*f**8/112 + f**4/6 - 37*f**3/3 + 332*f**2. What is the second derivative of l(p) wrt p?
10740*p**3
Let i(f) = 29*f - 37. Let q(h) = -61*h + 74. Let r(s) = 10*i(s) + 6*q(s). What is the first derivative of r(p) wrt p?
-76
Let t(n) be the first derivative of 121*n**4/2 + 107*n**3/3 - 300. What is the third derivative of t(v) wrt v?
1452
Let q(n) be the second derivative of -n**6/30 - 19*n**5/10 + 65*n**4/12 + 6*n. What is the third derivative of q(s) wrt s?
-24*s - 228
Find the third derivative of -12*m**4 + 10 + 11 + 4 - 158*m**2 - 25 wrt m.
-288*m
Let f(w) be the first derivative of -w**6/20 - w**4/24 + 7*w**2 - 3. Let m(v) be the second derivative of f(v). Find the second derivative of m(i) wrt i.
-36*i
Suppose 0 = -8*b + 77 + 11. What is the derivative of -10 + 19*v + 16*v - b*v + 30 wrt v?
24
What is the first derivative of -18*m**2 - 58 + 88*m**2 + 30*m**2 wrt m?
200*m
What is the second derivative of 15*k**5 + 140*k - 43237*k**2 + 0*k + 4*k**3 + 43237*k**2 wrt k?
300*k**3 + 24*k
Let r = -92 + 97. Let y(d) be the second derivative of r*d + 3/2*d**2 + 0 + 0*d**3 + 1/20*d**5 + 0*d**4. Differentiate y(u) wrt u.
3*u**2
Suppose 2*o - o = 0. Let l(p) = -p**2 + p + 2. Let k be l(o). Find the second derivative of 8*r**k - r + 9*r + 0*r wrt r.
16
What is the third derivative of 626*d**2 - d**4 + 1817*d**3 - 930*d**3 - 917*d**3 - 10*d**4 wrt d?
-264*d - 180
What is the second derivative of 669*q + 74*q**5 - 1 - 343*q - 352*q wrt q?
1480*q**3
Let i(a) be the first derivative of -38*a**3 + a**2/2 + 15*a - 98. What is the second derivative of i(f) wrt f?
-228
Let n be (-5 + 5)*(-3)/(-3). Suppose -5*x + 2*x + 9 = n. Find the second derivative of -9*f**5 - x*f - 57 + 57 wrt f.
-180*f**3
Let u(m) = -9*m - 23. Let v be u(-5). Find the second derivative of 159*l**5 - v*l + 0*l - 149*l**5 wrt l.
200*l**3
Let g(u) be the first derivative of -281*u**7/7 + 104*u**3/3 + u**2 + 114. What is the third derivative of g(c) wrt c?
-33720*c**3
Let k(z) be the third derivative of -17*z**5/30 - 119*z**4/24 + 60*z**2. Find the second derivative of k(a) wrt a.
-68
Let a be 2/5 - 12/30. Suppose 5*q + 0*q - 5 = a. Find the first derivative of 5*w**4 + 6 + 0*w**4 - q wrt w.
20*w**3
Let v(k) = -k**2 + 7*k - 3. Let n be 3*((-16)/(-4))/2. Let j be v(n). Find the second derivative of -j*i - 7*i + 3*i + i**4 wrt i.
12*i**2
Let b(q) = 1 - 3 - 10*q - q**2 + 5 - 17. Let t be b(-8). What is the first derivative of 7*a**4 - 67*a - 1 + 67*a + t wrt a?
28*a**3
Differentiate -21*m**3 + 2*m**4 + 21*m**3 + 10 - 36*m**3 with respect to m.
8*m**3 - 108*m**2
Let n(w) be the first derivative of w**4/2 - 45*w + 71. What is the derivative of n(p) wrt p?
6*p**2
Let q(f) = -448*f - 11. Let x(n) = -1794*n - 40. Let w(l) = -9*q(l) + 2*x(l). What is the first derivative of w(c) wrt c?
444
Let n(k) be the third derivative of 35*k**6/24 + 103*k**5/60 + 18*k**2. What is the third derivative of n(t) wrt t?
1050
Let b be 2 + -2 - (-1 - 1). Let h be 0 - -3 - (-2)/b. Find the first derivative of s + 469*s**4 - 6 - s - 474*s**h wrt s.
-20*s**3
Let o(f) = -17*f**4 - 2*f**3 + 13. Let s(u) = -33*u**4 - 5*u**3 + 26. Let q = 79 - 84. Let t(g) = q*o(g) + 2*s(g). What is the derivative of t(p) wrt p?
76*p**3
Let j(w) = -404*w + 410. Let f(d) = -403*d + 404. Let x(h) = 2*f(h) - 3*j(h). What is the derivative of x(z) wrt z?
406
Suppose 3*v - 12 = 33. What is the second derivative of -3*q - 5*q - 30*q**2 + 9*q**2 - v*q wrt q?
-42
Suppose -3*x + 2 = -d, -d - d - 5*x = 26. Let n = 11 + d. What is the second derivative of -z**n - 3*z - 20 + 20 wrt z?
-6*z
Suppose 4*u = -5*t + 5*u - 29, t - 4*u = -2. Let m(d) = 3*d**2 - 18. Let s(k) = -k**2 + 9. Let b(o) = t*m(o) - 15*s(o). Differentiate b(f) wrt f.
-6*f
Suppose 0 = -d + 1, 5 + 1 = 5*y - 4*d. Find the second derivative of -21*h**2 - 4*h - y*h - 12*h wrt h.
-42
Suppose -15*w = -13*w - 10. Find the third derivative of -13*n + 13*n + 2*n**w + 14*n**2 + 8*n**2 wrt n.
120*n**2
Let i(p) be the third derivative of 2*p**3 - 15*p**2 + 0 + 0*p**4 - 5/12*p**5 + 0*p. Differentiate i(n) wrt n.
-50*n
Suppose 0 = -29*d + 7 + 138. Let g(t) be the third derivative of 0*t**4 + 1/60*t**d + 0*t - 4/3*t**3 + 3*t**2 + 0. Find the first derivative of g(v) wrt v.
2*v
Differentiate -51*o**2 - 77*o**2 + 65*o**2 - 158*o**2 - 257 wrt o.
-442*o
Let y(q) be the third derivative of 0*q**3 + 31/120*q**6 + 0*q**4 + 13/20*q**5 + 0 + 0*q + 29*q**2. Find the third derivative of y(a) wrt a.
186
Let h(s) = -16 + s + 11 + s**3 + 5. Let v(j) = 19*j**3 - 17*j. Let x(y) = 2*h(y) - v(y). What is the second derivative of x(p) wrt p?
-102*p
Let c = 30 + -52. Let y be c/(-5) - 4/10. Find the third derivative of -u**2 + 4*u**2 + 9*u**y - u**4 wrt u.
192*u
What is the second derivative of 44*y + 0 + 3*y**5 - y**5 + 23*y**5 - 3 + 20*y**5 wrt y?
900*y**3
Let i(q) be the first derivative of 799*q**7/7 - 65*q**3/3 + q**2 - 348. What is the third derivative of i(z) wrt z?
95880*z**3
Suppose 3*z + 0*z + 2*w - 20 = 0, -2*w = 4*z - 24. Find the first derivative of 18 - 17*g**4 - 15*g**z + 22 - 4*g**4 wrt g.
-144*g**3
What is the derivative of -161 - 2*p**3 - 90 - 32*p**4 - 42 wrt p?
-128*p**3 - 6*p**2
What is the second derivative of -488*r**2 - 155 - 46*r + 43*r + 71 wrt r?
-976
Let v(b) be the first derivative of 19 - 28*b - 10*b**2 - b - 2 - 2. What is the derivative of v(o) wrt o?
-20
What is the derivative of -83 - 305 + 36578*u - 36084*u - 166 wrt u?
494
Suppose -v + 5 + 0 = 0. Suppose 0 = v*q + 4*z - 22, 2*z - 2 = -q + 3*q. Find the second derivative of -3*t**5 - 3*t**q + 3*t**2 + 4*t + t**5 wrt t.
-40*t**3
Let j(h) = -26*h**4 + 5*h**2 - 5*h - 9. Let d(z) = 77*z**4 - 14*z**2 + 14*z + 28. Let m(u) = 5*d(u) + 14*j(u). Differentiate m(b) with respect to b.
84*b**3
What is the first derivative of -250 - 38*h + 104*h - 34*h - 16*h**2 - 36*h wrt h?
-32*h - 4
Let i(u) = 5*u**3 + 50*u**2 + 2*u - 1. Let b(y) = y**3 - y**2 + 2*y - 1. Let n(p) = -3*b(p) + i(p). Find the second derivative of n(c) wrt c.
12*c + 106
Let d(i) be the second derivative of 5/2*i**2 + 5/24*i**4 + 5*i + 0 - 2/3*i**3. Let b(y) be the first derivative of d(y). Differentiate b(w) wrt w.
5
Let h(o) be the first derivative of 0*o**4 - 13 + 0*o**2 + 9/5*o**5 + 0*o**3 - 10*o. Differentiate h(d) with respect to d.
36*d**3
Let s(x) = -x - 1. Let m be s(-7). What is the third derivative of -3*q**m - 4*q**6 - q**2 + 15*q**2 + 4*q**6 wrt q?
-360*q**3
Suppose 5*g = -5*w + 75, -4*w + 4*g + 16 = -4. Let i be w/(-55) - 46/(-11). Differentiate -u + u + 3*u - i - u wrt u.
2
Let s(m) = 14*m**4 + 4*m**3 - 4*m**2 - 5. Let b(c) = -29*c**4 - 9*c**3 + 9*c**2 + 10. Let y = 17 + -8. Let p(l) = y*s(l) + 4*b(l). Differentiate p(g) wrt g.
40*g**3
Let b = -54 + 58. Let p be (1 - (-1 + 4))/(-2). What is the derivative of -b + 0 + p - 3 - 6*q wrt q?
-6
Let r = -9 - -10. Suppose -3*s + r = 4*j + 2, 5 = 4*j + s. What is the derivative of -3 + 3*w**2