- 5
Let p(r) = 1300*r**3 - 84*r**2 + 14*r - 4710. Let i(w) = 260*w**3 - 18*w**2 + 3*w - 942. Let d(x) = 28*i(x) - 6*p(x). Differentiate d(z) wrt z.
-1560*z**2
Differentiate -340 + 4989*z**2 - 96 - 163 with respect to z.
9978*z
Let k(a) be the second derivative of 11*a**7/42 - a**6/15 + 13*a**4/3 + a**3/3 + 887*a**2/2 - 7990*a. What is the second derivative of k(g) wrt g?
220*g**3 - 24*g**2 + 104
Let g(f) = 5299*f**2 + 21*f - 132. Let x(t) = -5298*t**2 - 24*t + 149. Let j(i) = 7*g(i) + 6*x(i). Find the second derivative of j(k) wrt k.
10610
Let j = 198 + -156. Differentiate -l**4 + 10 + j*l**4 - 81 wrt l.
164*l**3
Let d(v) be the third derivative of 0*v - 2*v**2 + 28 - 19/10*v**5 - 7*v**3 - 1/12*v**4. What is the second derivative of d(u) wrt u?
-228
What is the second derivative of 3726*s + 6252*s - 6274*s + 193*s**2 - 667*s**2 - s**3 wrt s?
-6*s - 948
What is the third derivative of -878 + 6*l**5 - 27*l**5 - 29*l + 878 + 27*l**2 + 22*l**5 + 474*l**3 wrt l?
60*l**2 + 2844
What is the third derivative of 3455*b**6 - 3105*b**2 + 71*b + 62*b - 180*b + 48*b wrt b?
414600*b**3
Let o = -3978 + 6165. Differentiate -o*h**3 + 79 + 84*h**4 - 2194*h**3 + 4381*h**3 with respect to h.
336*h**3
Find the third derivative of -23*g**4 + 427*g**4 - 2784*g**5 + 2786*g**5 + 2790*g**2 - 39*g**4 wrt g.
120*g**2 + 8760*g
Let l(m) = -1974*m**2 + 5*m + 1639. Let t(k) = -k + 1. Let f(i) = -l(i) - 4*t(i). Find the second derivative of f(v) wrt v.
3948
What is the second derivative of 165090 - 16*d**3 - 4310*d - 16*d**3 - 19*d**3 - 165091 + 30*d**2 wrt d?
-306*d + 60
Let k(y) = -y**3 + 3*y**2 + 3*y + 1. Let f be k(-2). Let q be 11/5 + (-3)/f. What is the second derivative of -w**4 + q*w**4 + 8*w - 2*w wrt w?
12*w**2
Suppose -5*t = 5*d - 240, 6*d + 39 = 7*d + 4*t. Find the second derivative of 41*p**2 + d*p + 16*p**2 + 9*p**2 wrt p.
132
Let i(t) = t**2 + 51*t + 2. Let a be i(0). Let v(h) be the second derivative of 1/2*h**a + 6*h + 0 + 1/6*h**4 + 0*h**3. Differentiate v(y) wrt y.
4*y
Let n(b) be the third derivative of 0*b**4 + 23/40*b**6 - 1/105*b**7 - 2*b**2 - 32*b - 1/6*b**3 + 241/60*b**5 + 0. What is the third derivative of n(z) wrt z?
-48*z + 414
Let p be (-16)/12 + 148/3. Find the second derivative of p + 44*t**5 - 16*t**5 + 0*t - t + 18*t**5 wrt t.
920*t**3
Differentiate -320*j**4 + 20732 - 73*j**4 - 21234 wrt j.
-1572*j**3
Suppose 24 = 2*h - 4*a, -14 = -h - 13*a + 14*a. Find the third derivative of 56*d**3 + 87*d**2 + 60*d**2 - h*d**3 - 11*d**3 + 41*d**3 wrt d.
420
Suppose 0 = 1399*n - 1377*n. Let p(x) be the second derivative of n*x**4 + 31/20*x**5 + 0*x**3 + 0 - 38*x + 19/2*x**2. Find the first derivative of p(o) wrt o.
93*o**2
Let x(k) be the first derivative of 1/4*k**4 + 0*k**3 + 0*k**2 + 2*k**5 - 27 - 61*k. Differentiate x(s) wrt s.
40*s**3 + 3*s**2
Let u(o) be the second derivative of 199/6*o**3 + 7/6*o**4 + 0*o**2 - 11 + 13*o. What is the second derivative of u(q) wrt q?
28
Let y = 6 + 4. Let i be (-2)/y*-17 - (-10)/(-25). Differentiate -73*t**3 + 148*t**3 - 75*t**i - 45*t**4 + 30 with respect to t.
-180*t**3
Suppose 2*k + 32 = -0*k. Let v = k + 21. Find the second derivative of 7*g + 2*g + 2*g**5 - 14*g**v - 3*g wrt g.
-240*g**3
Let x be 4/(-36) - (-1 - (-85)/45). Let r(h) = -h**2 - h. Let y(q) = 5*q**2 + 5*q - 66. Let p(w) = x*y(w) - 6*r(w). Find the first derivative of p(o) wrt o.
2*o + 1
Let x(m) = -425*m**4 - 5*m**3 - 3*m**2 + 66*m. Let p(c) = c**3 - 2*c. Let y(f) = 5*p(f) + x(f). Find the third derivative of y(r) wrt r.
-10200*r
Let m(z) be the second derivative of -2183*z**6/6 + 3293*z**2/2 - z + 6961. Find the first derivative of m(g) wrt g.
-43660*g**3
Let c be 2 - 3/9*-3. Suppose -6*t + c*h + 27 = -2*t, 0 = -3*h - 15. Find the second derivative of 4*o**2 - 8*o**2 - 9*o**3 + 8*o**t + 18*o - 48*o wrt o.
-6*o - 8
What is the second derivative of -842026 - 842028 - 382*i + 1684056 + 9478*i**2 wrt i?
18956
What is the third derivative of 134 + 194 + 72*x**2 - 328 - 302*x**5 wrt x?
-18120*x**2
Suppose -278*j + 281*j = 12. Find the first derivative of 103*p**j - 5 + 4 - 8 + 46*p**4 wrt p.
596*p**3
Let r(l) = -683*l**3 + 13*l**2 + 2*l + 1. Let g(w) = -3416*w**3 + 68*w**2 + 11*w + 4. Let i(d) = -2*g(d) + 11*r(d). What is the third derivative of i(z) wrt z?
-4086
Suppose -p + 0*p - z = -6, 0 = -5*p - 3*z + 22. Suppose a + 0*a = 6. Find the second derivative of -w - 2*w - 18*w**2 + a*w**p + w**2 wrt w.
-22
What is the first derivative of -115 + 1276*n**2 + 244 - 112 + 586 wrt n?
2552*n
Suppose t + 20 = -3*h - 0*h, 0 = -4*h + 4*t - 32. Let r(y) = -10*y - 32. Let c be r(h). Find the second derivative of -c + 28*j - 2*j + 11*j**5 + 38 wrt j.
220*j**3
Let l(m) be the first derivative of 186 + 211/3*m**3 + 0*m + 157/2*m**2. Find the second derivative of l(i) wrt i.
422
Let g(d) be the first derivative of -1/2*d**2 + 46 + 22*d - 49/4*d**4 + 0*d**3. What is the second derivative of g(u) wrt u?
-294*u
What is the second derivative of -1208*r + 481*r + 190*r**5 - 2*r**2 + 5*r**2 - 1172*r wrt r?
3800*r**3 + 6
Let l(u) = 215*u - 324. Let o(k) = -437*k + 647. Let s(a) = 11*l(a) + 5*o(a). Differentiate s(w) wrt w.
180
Let t(a) be the second derivative of 3817*a**3/6 - 2479*a**2/2 - 52*a + 57. Differentiate t(i) with respect to i.
3817
Let f(r) = -r**4 - r**3 - r**2 + 3*r - 1. Let t(v) = -74*v**4 + v**3 + 4*v**2 - 3*v - 489. Let l(n) = f(n) + t(n). What is the first derivative of l(w) wrt w?
-300*w**3 + 6*w
Let d(f) be the third derivative of 11*f**8/168 - 2*f**7/105 - f**6/30 - 1459*f**5/15 + 14*f**2 - 46*f. Find the third derivative of d(k) wrt k.
1320*k**2 - 96*k - 24
Let m(c) = -4*c**3 + c**2 + 2*c. Let x(a) = 138*a**3 - 3430*a**2 - 26*a. Let y(q) = 13*m(q) + x(q). Find the third derivative of y(u) wrt u.
516
Suppose -11*c + 5 = -17. Let b be (c - (-7)/(-5)) + 40/100. What is the derivative of -44*k**2 - 5 + 13 - b wrt k?
-88*k
Let q(c) = -c**3 + 15*c**2 + 17*c + 67. Let b be q(16). Find the second derivative of -156*d + 83*d - 5*d**3 + b*d + d**2 wrt d.
-30*d + 2
Suppose 134 = -14*s + 638. Differentiate -s*f + 11 - 22*f + 16*f with respect to f.
-42
Let n = 8445 - 50663/6. Let m(g) be the first derivative of 0*g**2 + 0*g**4 + n*g**6 - 1/3*g**3 + 0*g**5 + 0*g - 27. What is the third derivative of m(o) wrt o?
420*o**2
Let h(v) = 56*v**2 - 38*v - 1768. Let i(w) = 392*w**2 - 252*w - 12376. Let n(s) = 20*h(s) - 3*i(s). What is the derivative of n(c) wrt c?
-112*c - 4
Let j(k) = -1929*k**2 - 855*k + 5. Let h(u) = -1930*u**2 - 851*u + 4. Let z(a) = 5*h(a) - 4*j(a). What is the second derivative of z(x) wrt x?
-3868
Let s(n) = -12500*n - 622. Let m(a) = -10417*a - 518. Let v(g) = -17*m(g) + 14*s(g). Differentiate v(k) wrt k.
2089
Suppose -39 = -19*m + 6*m. What is the derivative of 0*p**3 - m*p**3 - 9*p**4 - 84 + 7*p**4 wrt p?
-8*p**3 - 9*p**2
Let h(i) = -9*i - 19. Let l(o) = 4*o + 9. Let a(y) = -3*h(y) - 7*l(y). Let z be a(-11). What is the third derivative of -23 - 16*n**2 + 34*n**z + 23 wrt n?
2040*n**2
Let g(d) = 44*d**4 + 20*d**3 - 112*d - 77. Let o(s) = -45*s**4 - 21*s**3 + 113*s + 87. Let c(t) = -8*g(t) - 7*o(t). Find the second derivative of c(p) wrt p.
-444*p**2 - 78*p
Let v(s) be the first derivative of 2*s**5/5 - s**4/4 - 131*s**3/3 - 1271*s**2 + 5338. What is the second derivative of v(u) wrt u?
24*u**2 - 6*u - 262
Suppose -75 = -3*z - 0*z. Find the second derivative of -4*j + 8*j - 3*j - 14*j**2 - z*j**2 wrt j.
-78
Let n be (-5)/(-20) + (-7)/(-4). Let i be -10*3/(-12)*n. Find the second derivative of -2*t**5 + 14*t - t**i + 2*t**5 - 5*t**5 wrt t.
-120*t**3
Find the third derivative of -52*k**6 + 65*k**6 + 845*k**2 - 777*k**2 + 33*k**5 - 26*k wrt k.
1560*k**3 + 1980*k**2
Let j(d) be the first derivative of -24*d**4 + 4*d**3/3 - 377*d**2/2 - 1037. What is the second derivative of j(p) wrt p?
-576*p + 8
Let g be (-5 + 0)/(-14 + 13). Find the third derivative of -66*p**4 - 68*p**4 + 37*p**g + 115*p**2 + 202*p**4 - 15*p**5 - 66*p**4 wrt p.
1320*p**2 + 48*p
Let v = 51 - 37. Let o = v + 1. Find the first derivative of o*h**2 - 14*h**2 + 16 + 15*h**2 wrt h.
32*h
Let i(u) be the second derivative of 0*u**3 - 2/15*u**6 + 3*u + 0*u**5 + 11/12*u**4 + 48 + 287/2*u**2. What is the derivative of i(k) wrt k?
-16*k**3 + 22*k
Let h(o) = 1467*o**4 - 6*o**3 - 3*o - 2110. Let 