 first derivative of v(f) wrt f?
-178*f
Differentiate 214 - 184*k + 549 + 1508*k + 406*k + 1578 with respect to k.
1730
What is the third derivative of 8480*d**3 - 6848*d**2 - 41121826*d + 41121826*d wrt d?
50880
Let t(m) = 4*m - 2. Let x be t(1). Suppose -x*f + 7 + 1 = 0. Differentiate f*h - 21*h**2 - 13*h + 9*h + 15 with respect to h.
-42*h
Let u(h) = -12908*h + 11591. Let i(c) = -12959*c + 11591. Let g(n) = -3*i(n) + 2*u(n). Find the first derivative of g(k) wrt k.
13061
Let x(u) be the first derivative of -u**2/2 - 3*u + 69. Let m(o) = -24*o - 43. Let v(i) = -m(i) + 6*x(i). Differentiate v(w) wrt w.
18
Let y(u) be the first derivative of -19*u**3/3 - 67*u**2/2 + 8*u - 47. What is the second derivative of y(m) wrt m?
-38
Let l(o) = 796*o + 1543. Let y(f) = 3184*f + 6158. Let d(m) = 9*l(m) - 2*y(m). What is the derivative of d(b) wrt b?
796
Find the second derivative of 259 - 119*x**2 - 321 - 2*x**5 + 2*x + 3*x**5 wrt x.
20*x**3 - 238
Let l(n) be the second derivative of -20*n**2 + 11/20*n**5 - 1/12*n**4 + 0 + 1/30*n**6 + 4*n + 0*n**3. Find the third derivative of l(d) wrt d.
24*d + 66
Suppose 0 = -2*b + 4*b - 16. Suppose 3 = -h + 8. Find the second derivative of a**h - 6*a**5 - b*a**5 - 15*a wrt a.
-260*a**3
Suppose 0 = -2*x + 6*x + f - 7370, 3*f = -x + 1837. Find the second derivative of -x*h**4 - 57*h + 1839*h**4 - 5*h**3 + 5*h**3 + 11*h**2 wrt h.
-48*h**2 + 22
What is the third derivative of -318*o**2 - 326*o**2 - 4837*o**5 - 53 - 659*o**5 - 318*o**2 + 946*o**2 wrt o?
-329760*o**2
Let b(x) be the first derivative of -x**4/4 + 53*x**3/3 + 3*x**2 - 464*x - 9599. What is the second derivative of b(s) wrt s?
-6*s + 106
Suppose 5*p = z + 19, -2*p + 0*z + 22 = -4*z. Let u be p - (-2 + 4) - -2. What is the first derivative of -9 - 21*k**u + 41 + 58*k**3 wrt k?
111*k**2
Let f = -99 - -100. What is the third derivative of -3 + o**2 - 1 - f + 16*o**5 + 4 wrt o?
960*o**2
Find the third derivative of -7*t**6 + 5722*t**2 + 70*t**4 + 91*t**4 + 1473*t**2 - 2*t**5 - 264*t**4 wrt t.
-840*t**3 - 120*t**2 - 2472*t
Let m(u) be the second derivative of -142*u**7/7 - u**6/10 - u**5/10 - u**4/4 - 4*u**3/3 + 7*u**2 - 2580*u. What is the third derivative of m(r) wrt r?
-51120*r**2 - 72*r - 12
Let t(m) = 39600*m - 52055. Let s(x) = 9900*x - 13027. Let y(v) = -19*s(v) + 5*t(v). Find the first derivative of y(w) wrt w.
9900
Let x(v) be the second derivative of -15 - 2*v**2 + 51/4*v**4 + 9*v - 5/2*v**3. Find the second derivative of x(w) wrt w.
306
Let p(a) = -a**2 - 8*a + 2. Let z be p(-8). Find the third derivative of -10*b**2 - 242*b**2 + 50*b**z + 90*b**4 - 8*b**4 wrt b.
1968*b
Let z(i) = -75*i**5 + 5*i**4 - 11*i**2 + 19*i + 51. Let n(r) = r**5 + r**4 + 2. Let q(c) = 5*n(c) - z(c). What is the second derivative of q(d) wrt d?
1600*d**3 + 22
Let j(q) = q**3 + 15 + 6 + 549*q**2 - 561*q**2. Let g be j(12). Find the second derivative of 2*c**2 - 8*c**2 - 5*c**2 + g*c - 8*c**2 wrt c.
-38
Find the first derivative of 97*x**3 - x - 806*x**3 + 332*x**3 + 2623 - 733*x**3 wrt x.
-3330*x**2 - 1
Let h(u) be the second derivative of -2131*u**6/10 + 3*u**3 - 20*u**2 + 5173*u. Find the second derivative of h(q) wrt q.
-76716*q**2
Differentiate 3606 + 2239*o**4 + 301099*o**3 - 527*o**4 - 301099*o**3 wrt o.
6848*o**3
What is the third derivative of -5*r**5 + 5*r**5 - 11*r**5 - 1340*r**6 + 1342*r**6 - 6*r**3 - 1841*r**2 wrt r?
240*r**3 - 660*r**2 - 36
What is the second derivative of 140 - 45 - 50 - 46 + 174*d**3 + 0*d**2 - 2*d**2 - 886*d wrt d?
1044*d - 4
Find the second derivative of -240*b**2 - 241*b**4 + 1293*b + 486*b**4 - 248*b**4 wrt b.
-36*b**2 - 480
Let c(i) be the second derivative of 0*i**2 - 5*i**3 + 1/6*i**4 - 17*i + 0 - 69/20*i**5. What is the second derivative of c(g) wrt g?
-414*g + 4
Let g = 187 - 132. Suppose 15 - g = 5*z. Let n(b) = 6*b**2 - 8*b + 68. Let r(t) = 4*t**2 - 5*t + 45. Let c(d) = z*r(d) + 5*n(d). Differentiate c(f) wrt f.
-4*f
Let o = 5689 + -5689. Let p(l) be the second derivative of -9*l + 13/12*l**4 + 0*l**2 + 0 - 1/10*l**5 + o*l**3. Find the third derivative of p(m) wrt m.
-12
What is the second derivative of 5*k**4 + 6*k**3 - 538 - 541 + 786*k - 538 + 1617 wrt k?
60*k**2 + 36*k
Suppose 144*j - 143*j - 223 = 0. Find the second derivative of -129*v**2 + 2798 - 2798 - j*v wrt v.
-258
Let f(c) be the first derivative of -3949*c**5/5 + c**2/2 - 63*c + 2951. Find the second derivative of f(p) wrt p.
-47388*p**2
Suppose 4*j + 0*j = -3*m + 44, 2*j = m - 8. Let a(h) = h**3 + 7*h**2 + 7*h + 6. Let b be a(-5). Differentiate -m*o + 4*o + b - 5 with respect to o.
-8
Let i(u) be the first derivative of -2347*u**5/5 - 25*u**3 + 2*u - 3499. Find the third derivative of i(n) wrt n.
-56328*n
Let x be (-8)/(-1) + (48 - 40). What is the third derivative of -3*k**5 - 3*k**3 - 5*k**3 - x + 416*k**2 - k**3 - 3*k**3 - 421*k**2 wrt k?
-180*k**2 - 72
Suppose -g - 5*j + 7 = 0, 4*g + j = 139 - 16. Suppose 4*t = -t - 4*d + g, 6 = t + d. Differentiate -35*s - 7*s**4 - t + 35*s - 3 with respect to s.
-28*s**3
Let j(c) = 3960*c + 8083. Let a(s) = 1320*s + 2695. Let v(f) = -10*a(f) + 3*j(f). What is the first derivative of v(t) wrt t?
-1320
Let l(m) = 4*m + 19. Let b be l(-4). What is the third derivative of -73*v**2 + 11*v + 16*v**2 + 16*v**2 - 247*v**b + 19*v**2 + 19*v**2 wrt v?
-1482
Let b(f) be the first derivative of -1742*f**4 + 2307*f**2/2 - 2*f + 4074. What is the second derivative of b(r) wrt r?
-41808*r
Differentiate 6478 - 556*u**2 - 1696*u**2 + 47*u**2 - 11796 with respect to u.
-4410*u
Let z(m) be the second derivative of 316*m**6/5 - 257*m**2/2 + 4011*m. What is the derivative of z(b) wrt b?
7584*b**3
Let w(j) = -25*j - 37. Let k(f) = -2*f + 1. Let p be (4/2*-1)/(-2). Let d(z) = p*w(z) + k(z). Differentiate d(n) wrt n.
-27
Let h(r) be the second derivative of 139*r**5/2 - 158*r**2 - 1421*r. What is the derivative of h(k) wrt k?
4170*k**2
Suppose 10*g = 9*g + 85. Let a be (-3 + g/25)*5. Find the third derivative of -c**2 - 7*c**a + 0*c**2 + 236*c**6 - 216*c**6 wrt c.
2400*c**3
Differentiate -612 + 747*m**3 + 214 + 1095 with respect to m.
2241*m**2
Find the third derivative of 52*x**3 - 6 + 153*x**3 + 2 - 6*x**4 - x**4 + 132*x**2 + 5 wrt x.
-168*x + 1230
Find the first derivative of 231*h**3 - 623*h**3 - 993*h**3 - 317*h**3 - 272 - 196 wrt h.
-5106*h**2
Let u(q) = 2976*q**3 + 5*q**2 + 3*q - 412. Let k(b) = b**2 + b + 14. Let x(g) = 5*k(g) - u(g). What is the second derivative of x(i) wrt i?
-17856*i
Let a(t) = -42*t - 250. Let f(w) = 4*w. Let o(p) = 4*a(p) - 72*f(p). What is the first derivative of o(q) wrt q?
-456
Find the second derivative of 71*h**2 + 6148*h**3 + 3766*h - 16505*h - 34*h**2 - 37*h**2 wrt h.
36888*h
Suppose -8*h - 15 = -13*h. Suppose -c = -h*f + 6, f + 3*c = 4*c + 2. What is the derivative of 5*r**4 + 271*r + f - 271*r wrt r?
20*r**3
Let p(a) be the second derivative of -1504*a**5/5 - 1003*a**4/12 - 6*a + 126. What is the third derivative of p(n) wrt n?
-36096
Find the third derivative of -976*c**3 + 5*c**2 + 14*c - 7*c**2 + 2557*c**3 + 2799*c**3 - 2 + 26*c wrt c.
26280
Let n(s) be the second derivative of 116*s**3/3 + 792*s**2 - 5547*s. Differentiate n(p) wrt p.
232
Let f(h) be the first derivative of 7/2*h**2 + 0*h**5 + 0*h + 0*h**6 + 119 + 1/4*h**4 - 43/7*h**7 + h**3. What is the third derivative of f(w) wrt w?
-5160*w**3 + 6
Suppose 4*n + 13 - 173 = -4*i, -4*i = -n - 145. Find the third derivative of -47*f**2 + 29110*f**3 - i*f**5 - 29110*f**3 wrt f.
-2220*f**2
Let l(k) = -188*k**3 - 30*k**2 - 2*k - 10073. Let d(i) = 251*i**3 + 39*i**2 + 3*i + 13431. Let u(f) = 10*d(f) + 13*l(f). What is the derivative of u(q) wrt q?
198*q**2 + 4
Suppose -50 = -22*h - 6. Find the third derivative of 148*f + 33*f**6 - 148*f - 28*f**h + 114*f**6 wrt f.
17640*f**3
Let i(b) = -b**3 + b**2 + 3*b + 2. Let u(z) = -559*z**3 + 5*z**2 + 15*z + 599. Let v(f) = 5*i(f) - u(f). Find the first derivative of v(c) wrt c.
1662*c**2
Let x(v) be the second derivative of -3*v - 15/2*v**3 - 3/4*v**5 + 0*v**2 + 1/12*v**4 + 11 - 1/30*v**6. Find the third derivative of x(f) wrt f.
-24*f - 90
Let f(k) be the first derivative of 1825*k**4/4 - 370*k**3/3 + 8. What is the third derivative of f(u) wrt u?
10950
Let i(w) = w + 13. Let p be i(-8). What is the second derivative of 34*k**5