2
What is the second derivative of 7825*s**4 - 4262*s**4 - s**3 - 61*s - 3959*s**4 wrt s?
-4752*s**2 - 6*s
Let p(n) be the first derivative of -27/4*n**4 + 0*n + 7/3*n**3 - 4/5*n**5 + 165 - 3/2*n**2. Find the third derivative of p(o) wrt o.
-96*o - 162
What is the third derivative of -60*m + 10073*m**3 + 62*m**4 + 60*m + 4194*m**2 - 10070*m**3 wrt m?
1488*m + 18
Suppose 2*d + 3*g = 10, 5*d + 0*g + g = 12. Find the second derivative of 17*q**2 + d*q - 4*q**4 - 4*q - 10 - 6 - 11 wrt q.
-48*q**2 + 34
What is the third derivative of -187*g**3 + 2*g**6 + 62*g**3 - 252825*g - 3356*g**2 + 252825*g wrt g?
240*g**3 - 750
Suppose k = -11 + 14. What is the third derivative of k*b**4 + 15*b**2 + 53*b**5 + 0*b**4 - 19*b**5 - 9*b + 7*b wrt b?
2040*b**2 + 72*b
Let x be (-120)/300 + (-22)/(-5). What is the second derivative of -1764*b**x + 4*b - 9*b**2 + 62*b + 1768*b**4 wrt b?
48*b**2 - 18
Let y(j) be the third derivative of 14*j**3 + 1/30*j**5 + 0 + j**2 - 4*j + 37/24*j**4. What is the first derivative of y(l) wrt l?
4*l + 37
Let d(f) be the first derivative of 41*f**6 + 2*f**5/5 + f**4/4 - 14837*f**3/3 + 13336. Find the third derivative of d(q) wrt q.
14760*q**2 + 48*q + 6
Let c(f) be the second derivative of -1775*f**7/21 - 115*f**4/4 + 5*f**3/6 - 10*f + 48. What is the third derivative of c(v) wrt v?
-213000*v**2
Suppose -336 = -6*p - 2*p. Find the second derivative of -9*s - 3*s + s**5 - p*s + 140*s**5 wrt s.
2820*s**3
Suppose -4*q = -4*t - 1928, 5*q - 2958 + 563 = 2*t. What is the second derivative of 18*m - q*m**2 - 1 + 239*m**2 + 211*m**2 wrt m?
-54
Let j be (-3)/(4/(40/(-6))). Let i(k) = -6*k + 7*k - 6*k + j - 9*k**2. Let m(n) = n**2 - n. Let o(r) = i(r) - 5*m(r). What is the derivative of o(t) wrt t?
-28*t
Differentiate -82*a**2 - 658 - 386*a**2 + 105*a**2 - 179*a**2 with respect to a.
-1084*a
Find the second derivative of 145873*l - 76101*l - 74712*l + 2853*l**4 wrt l.
34236*l**2
Let d be (-9)/(-2) + 3 + (-9)/(-6). What is the derivative of -r**2 + 0 + 9 - d*r**2 - 3 + 11*r**3 + 7*r**2 wrt r?
33*r**2 - 6*r
Let d(x) be the third derivative of -719*x**9/504 + 377*x**5/20 - 5*x**2 - 233*x. Find the third derivative of d(v) wrt v.
-86280*v**3
Suppose -11 = -7*j + 3. Suppose j*h + 30 = 8*h. What is the third derivative of -h*x**2 + 5*x**5 + 3*x**2 + 2*x**3 - 2*x**3 wrt x?
300*x**2
Suppose 4*r - 10*g = -8*g + 2, 5 = -5*r + 4*g. Let o(d) be the first derivative of -1/4*d**4 + 0*d**r + 0*d**2 + 6*d + 16. What is the derivative of o(n) wrt n?
-3*n**2
Suppose -30 = -d - 4*d - 2*p, -5*p = 3*d - 37. Let x be 20*((-25)/(-15))/(d/3). Find the second derivative of x*q**2 + 5*q - 12*q - 21*q wrt q.
50
Let b(u) = 1403*u + 1785. Let m(a) = -1414*a - 1786. Let n(s) = -3*b(s) - 2*m(s). What is the first derivative of n(i) wrt i?
-1381
Find the third derivative of -2*f**4 - 50459*f**6 + 50262*f**6 - 1030*f**2 - 194*f**2 wrt f.
-23640*f**3 - 48*f
Let c(m) be the second derivative of -10*m - 26/5*m**5 - 3*m**2 - 5/12*m**4 + 0*m**3 + 3. Find the third derivative of c(a) wrt a.
-624
Suppose -10*g + 0*g = 3*g. What is the derivative of -21*p + g + 0 - 4 + 54*p wrt p?
33
Differentiate -2011*a**2 - 187 - 2016*a**2 + 4027*a**2 - 5429 - 878*a**4 wrt a.
-3512*a**3
Let b(i) be the second derivative of 0*i**2 + 0*i**3 + 0 - 1/30*i**6 - 7/20*i**5 - 29/4*i**4 - 62*i. Find the third derivative of b(y) wrt y.
-24*y - 42
Let u(h) = -52*h**3 - 6*h - 1133. Let m(z) = -50*z**3 - 5*z - 1132. Let y(j) = -6*m(j) + 5*u(j). Differentiate y(v) with respect to v.
120*v**2
Find the first derivative of 82*w + 91*w + 1903*w**3 + 77*w - 250*w - 1409 wrt w.
5709*w**2
What is the second derivative of -75 + 1076*h**2 + 70 + 2*h - 418 wrt h?
2152
What is the third derivative of -2*m**2 - 45*m**6 + m**2 - 128*m - 36*m**3 + 33*m**3 - 12*m**6 - 258*m wrt m?
-6840*m**3 - 18
Let y(v) be the third derivative of -981*v**6/20 + 1903*v**3/3 - v**2 + 6*v - 12. Differentiate y(g) wrt g.
-17658*g**2
Suppose -4*c - 31 = -6*c + 3*g, 0 = 2*c + 2*g - 56. Differentiate -77 + 131*p**3 - 49 + c wrt p.
393*p**2
Differentiate 338 - 2093*p**3 + 4712*p**3 - 2373*p**3 - p**2 with respect to p.
738*p**2 - 2*p
Let w(b) be the first derivative of -b**2/2 - 6*b - 19. Let f be w(-11). What is the second derivative of 19*s - 14*s + 18*s**4 - f*s - 14*s wrt s?
216*s**2
Suppose 7*i + 121 = 135. Find the first derivative of 6 + 43 + g**4 - 2*g**4 + 6 + 28*g**i wrt g.
-4*g**3 + 56*g
Let m(y) be the second derivative of 586*y**5/5 - 1511*y**2/2 + 883*y. What is the first derivative of m(n) wrt n?
7032*n**2
Let s = -50 + -16. Let n = 100 + s. Find the first derivative of 29 - 12*a + 0*a - n wrt a.
-12
Let s(k) = 2*k**2 - 2. Let n(v) = -1154*v**2 + v - 1283. Let q(p) = n(p) + 4*s(p). Differentiate q(i) wrt i.
-2292*i + 1
Let l(o) = o**2 + 6*o + 9. Let g be l(-4). Let r be (-14)/10 + g - 68/(-20). Find the third derivative of 20 + 16*c**r + 20 - 40 + 12*c**2 wrt c.
96
Let z(u) = -u. Let a(j) = 16*j**3 - 2*j + 1. Let t = -26 - -36. Suppose 12*q - 7*q = t. Let v(s) = q*z(s) - a(s). Differentiate v(b) wrt b.
-48*b**2
Suppose 31 = u + 20. Let h(v) = 57*v + 80. Let l(j) = -286*j - 403. Let z(c) = u*h(c) + 2*l(c). Differentiate z(o) wrt o.
55
Let f(x) be the first derivative of 1231*x**4/2 + 1060*x - 4621. What is the first derivative of f(n) wrt n?
7386*n**2
Let y(i) be the second derivative of -1289*i**6/30 + 87*i**2 - 77*i + 4. What is the derivative of y(b) wrt b?
-5156*b**3
What is the second derivative of 73323 - 3037*t**2 - 73271 + 9*t - 30*t wrt t?
-6074
Let k be 5*((-11)/5 - (-5)/25). Let u be (k/12)/((-8)/48). Find the second derivative of 19*w**2 + 5*w - 27*w + u*w**2 wrt w.
48
Let h(w) = -2*w**3 + 1. Let o(r) = -977*r**3 + 168*r - 2. Let q(f) = 2*h(f) + o(f). Find the second derivative of q(v) wrt v.
-5886*v
Let n = 11054 - 11054. Let t(k) be the first derivative of 0*k**4 - 5/2*k**2 - 4 + 6/5*k**5 + 0*k**3 + n*k. Find the second derivative of t(h) wrt h.
72*h**2
What is the third derivative of 536*s**2 + 6765*s**4 - 6*s**3 + 8*s**3 - 3469*s**2 - 2*s**3 wrt s?
162360*s
Suppose -2*s - 205 = -217. Let x(p) = -229*p + 18. Let i(j) = 459*j - 38. Let t(q) = s*i(q) + 11*x(q). What is the derivative of t(v) wrt v?
235
Let h(v) be the third derivative of 2*v**7/21 - 11*v**5/60 + v**4/12 + 236*v**3/3 + 8*v**2 + 237*v. What is the second derivative of h(j) wrt j?
240*j**2 - 22
Let u = -15 + 31. Let f be -5 + (u - 4) + -3. What is the second derivative of -7*z**4 - 33*z - z**f + 18*z - 14*z**4 wrt z?
-264*z**2
Let x(t) = -t**2 - t + 6. Let h be x(0). Let b(m) = m**2 + m - 14. Let u be b(4). Find the second derivative of -12 + u + 12*i**2 - h*i + 6 wrt i.
24
Let l(o) be the first derivative of o**3 + 1 + 0*o - 1/4*o**4 - 3/2*o**2 + 39/5*o**5. What is the third derivative of l(f) wrt f?
936*f - 6
Let b(a) = 6*a - 11. Let d be b(7). Let p = d + -11. Find the third derivative of 9*z**2 + 11*z**2 - p - 4*z**6 + 20 wrt z.
-480*z**3
What is the first derivative of 7927326*k**3 + 2435 + 557 - 8398*k**4 - 7927326*k**3 wrt k?
-33592*k**3
Let k be (1 + 0)/(((-9)/3)/(-6)). Find the third derivative of -22*s**3 - 9*s - 16*s - 77*s**3 + 2*s**2 + k*s**2 wrt s.
-594
Let r(y) be the first derivative of -157*y**3/6 - 233*y**2/2 + 66*y + 281. Let n(d) be the first derivative of r(d). What is the first derivative of n(w) wrt w?
-157
Suppose 0*h = 5*h - 20. Let f(g) be the first derivative of 2 - 473*g**2 - 2*g**5 + 3*g**h + 466*g**2 - 3*g**4. What is the second derivative of f(i) wrt i?
-120*i**2
Suppose -2*i - 41 = 5*t - 245, -5*t = -3*i - 219. What is the derivative of -117*x**2 + t - 7 + 13 wrt x?
-234*x
Let s(i) be the first derivative of 1459*i**5/5 + 5*i**3/3 - 82*i + 217. Find the third derivative of s(r) wrt r.
35016*r
Let t be 1 - 1*(-5 - -4). What is the third derivative of -7*c**4 - 5*c**4 - 13 + 2*c**t + 2*c**3 - c**3 wrt c?
-288*c + 6
Let q(s) be the third derivative of -s**8/168 + 3*s**6/40 - 13*s**4/24 + 7*s**3/6 - 1176*s**2. Find the second derivative of q(b) wrt b.
-40*b**3 + 54*b
Find the first derivative of 2634 + 1527*r**4 + r + 1370*r**4 - 3976*r**4 + 1824*r**4 + 1291 wrt r.
2980*r**3 + 1
Let z(y) = -y**2 + 16*y - 20. Let c be z(12). Suppose 48 = 5*d + c. Find the third derivative of -19*h**4 + 34*h**2 + 4*h**d - 41*h**2 wrt h.
-360*h
Let