. Differentiate r(t) wrt t.
8978
Let j(t) be the second derivative of 0*t**2 - 2 - 13/2*t**3 - 6*t + 47/12*t**4. Find the second derivative of j(l) wrt l.
94
Let u(n) be the first derivative of n**5 + 100*n**4 + 2*n**3/3 + 31*n**2 - 13*n + 4578. What is the second derivative of u(k) wrt k?
60*k**2 + 2400*k + 4
Find the third derivative of 32*c**6 - c**5 - 1256*c**2 - 65*c**3 + 65*c**3 - 30*c**6 + 10*c**5 wrt c.
240*c**3 + 540*c**2
Let s = 456 + -342. Find the second derivative of -22*l**2 - s*l + 126*l**2 + 10*l**2 wrt l.
228
Let b(d) = 701*d**3 + 46*d**2 + 2256. Let p(t) = -468*t**3 - 31*t**2 - 1507. Let j(h) = 5*b(h) + 7*p(h). Differentiate j(n) wrt n.
687*n**2 + 26*n
Let z(q) = q**3 + 9*q**2 + 6*q + 21. Let g be z(-8). Let t = g + -31. What is the first derivative of 25*s**2 - 1 + 27 - t - 67*s**2 wrt s?
-84*s
Let v(y) = 8*y**2 + 4*y + 8. Let i be v(-2). What is the second derivative of -93*g**4 + i*g - 16*g**5 + 93*g**4 + 9 - 10 wrt g?
-320*g**3
Let m(w) be the second derivative of -3*w**6/5 + 3*w**5/4 - 394*w**3/3 - 534*w + 2. What is the second derivative of m(o) wrt o?
-216*o**2 + 90*o
Let p(l) = -4*l + 47. Let j be p(-8). Find the third derivative of 34*i**4 + 22*i**5 - 66*i**4 + 32*i**4 + j*i**2 wrt i.
1320*i**2
Let x(b) = 27*b + 50. Let w(y) = -y. Let k be (-4 - 3*5/(-15))/(-3). Let j(c) = k*x(c) - 4*w(c). What is the first derivative of j(d) wrt d?
31
Let s be (-2)/(-3 + -1 - (-40)/12). Find the second derivative of s*x**4 + x**4 - 10*x - 3 - 1 + 107*x**2 - 2*x**4 + 2 wrt x.
24*x**2 + 214
Suppose 487*t = 496*t - 90. Differentiate -7*q + t*q + 0*q - 12*q**3 + 101 - 13 - q wrt q.
-36*q**2 + 2
Let p(f) = -f**2 - 43*f - 114. Let q be p(-40). Differentiate q*b - 1082*b**4 + 25*b**3 - 25*b**3 - 84 + 1068*b**4 with respect to b.
-56*b**3 + 6
Let c = -20 + 22. Suppose c*m + h = 13, 2*h + 2 = 4*m - 4. What is the second derivative of -15*g**3 + 0*g + m*g + g wrt g?
-90*g
Suppose -2*h + 0*h = -2. Find the second derivative of 1 + 46 - 2*s + 258*s**3 - 12 - h wrt s.
1548*s
Let m(q) be the second derivative of -6647*q**7/21 + 14567*q**3/6 + 6299*q. Find the second derivative of m(y) wrt y.
-265880*y**3
What is the third derivative of c**6 - 1328 - 236*c**2 - 238*c**2 - 229*c**2 + 272*c**3 + 702*c**2 - c wrt c?
120*c**3 + 1632
What is the first derivative of 15*z**2 + 8655 + 10*z**2 + 1183*z**3 + 549 - 24*z**2 - 3535*z**3 wrt z?
-7056*z**2 + 2*z
Let f(w) be the third derivative of 0*w**6 + 2/5*w**7 + 0*w**4 - 19/6*w**3 - 1/30*w**5 + 0 + 27*w + w**2. What is the third derivative of f(z) wrt z?
2016*z
Let c(p) = 2*p - 13. Suppose -5*l - 11 + 0 = -2*g, 4*l = 3*g - 20. Let z be c(g). Find the first derivative of 11*r**3 - 5*r + 13 - z*r**3 - 5*r**3 wrt r.
9*r**2 - 5
Let d(o) be the second derivative of -496*o**4/3 + o**3 - 15*o**2/2 + 824*o. Find the second derivative of d(i) wrt i.
-3968
Suppose -3*w - 9 = 0, -2*w = -2*f + 18 - 2. What is the second derivative of -3*p**2 + 112*p + 3*p**2 - 30*p**5 - 93*p**f wrt p?
-2460*p**3
Let l(p) = -3286*p**2 + 2*p - 2926. Let i(j) = -8*j**2 + j + 1. Let h(c) = -2*i(c) + l(c). Differentiate h(o) wrt o.
-6540*o
Let t(b) = -7496*b - 552. Let u(r) = 7505*r + 554. Let i(n) = 2*t(n) + 3*u(n). What is the derivative of i(k) wrt k?
7523
Let c(i) = 6958*i**4 - 21*i**3 - 1883. Let t(x) = 20874*x**4 - 56*x**3 - 5652. Let k(l) = 8*c(l) - 3*t(l). Differentiate k(u) with respect to u.
-27832*u**3
Let c(i) be the second derivative of -4/3*i**3 + 0 - 40*i - 13/12*i**4 + 2*i**2. What is the second derivative of c(f) wrt f?
-26
Let x(c) = 4*c**2 - 2*c + 4. Let a be x(2). Suppose 3*z = -5*o + 80, 2*o - z - z - a = 0. What is the second derivative of 10*m**2 + 11*m + 7 - 7 + o*m wrt m?
20
What is the derivative of -159*s**3 - 1915*s**3 - 1414 + 149*s**3 wrt s?
-5775*s**2
Let n(p) = -p - 5. Let h be n(-7). Suppose 130*j - 79*j + 42 = 65*j. What is the second derivative of 27*c**j + 0*c**2 - 236*c + 0*c**h + 255*c wrt c?
162*c
Let g = 12 - -48. What is the first derivative of -4*l**2 + 167 - 126 - g*l**2 - 24*l**2 wrt l?
-176*l
Let k(a) be the third derivative of 773*a**8/336 - 13*a**4/6 + 19*a**3/6 + 3120*a**2. What is the second derivative of k(h) wrt h?
15460*h**3
Suppose 10*l - 5*l - 15 = 0. What is the second derivative of -6*t**l + 1 - 3*t**3 + t + 3*t**2 + 3*t**2 - 2 wrt t?
-54*t + 12
Let l(y) be the first derivative of 2491*y**4/4 - 787*y**3 - 2523. What is the third derivative of l(i) wrt i?
14946
Let k(y) = -1109*y**3 - 5*y**2 + 1451*y. Let f(z) = 1664*z**3 + 7*z**2 - 2177*z. Let u(h) = -5*f(h) - 7*k(h). Find the second derivative of u(q) wrt q.
-3342*q
Suppose 3*l - 3*l = 2*l. Suppose -r - 3*i = -97, 3*r - 2*i + 84 - 397 = l. Find the second derivative of 103*m**3 - r*m**3 + 5*m**4 - 30*m wrt m.
60*m**2
Let t(n) be the second derivative of -1/42*n**7 + 82/3*n**3 + 0 + 0*n**5 + 0*n**6 - 5/4*n**4 + 0*n**2 + 150*n. What is the second derivative of t(q) wrt q?
-20*q**3 - 30
Let m = 286 + -284. Find the second derivative of -87*h**m - 22*h - 4 - 4*h + 3 + 10*h wrt h.
-174
Suppose -4*v = r - 30, -5*r = 2*v - 3*v - 150. What is the third derivative of 14*a**4 + 18*a**2 - r*a**4 - 32*a**4 - 3*a**4 + a**3 - 9*a**4 - 2 wrt a?
-1440*a + 6
Suppose -7*w - 29 + 470 = 0. Find the first derivative of -w - 295*n**3 + 145*n**3 + 10*n**4 + 151*n**3 wrt n.
40*n**3 + 3*n**2
Let m(k) be the first derivative of 40*k - 5*k**5 + 45*k + 32 - 136*k. Find the first derivative of m(n) wrt n.
-100*n**3
Let h be -4 + 2 - -3 - (0 + -1). Find the second derivative of 4*b + 3610*b**2 - 3584*b**h - 27*b wrt b.
52
What is the third derivative of -2386*t**2 + 389*t**3 - 70*t**2 + 275*t**3 + 385*t**3 wrt t?
6294
Let j(k) = -2*k**3 - k**2 - 5*k + 1. Let r(p) = 3819*p**3 - 3*p**2 - 14*p + 196. Let z(x) = 2*j(x) - r(x). Find the third derivative of z(f) wrt f.
-22938
Suppose 3*i = -25*i + 756. Find the second derivative of -13*n**2 + i*n**2 - 198*n**3 - 41*n**3 - 3 - 14*n**2 + 52*n wrt n.
-1434*n
Let b(c) be the second derivative of -c + 13/3*c**6 + 0*c**5 + 7 - 35/2*c**2 - 1/6*c**3 + 0*c**4. Find the second derivative of b(h) wrt h.
1560*h**2
Find the first derivative of 383*m - 2*m**2 - 19*m + 490*m + 3633 + 123*m wrt m.
-4*m + 977
Suppose 135 - 375 = -4*q. Let r = 71 - q. What is the first derivative of 15*b**2 - 8 - r*b**2 + 0 wrt b?
8*b
Let f = 19 + -110. Let d be 39/f - (-398)/14. Differentiate 11*i - d + 9*i + 2 - 6*i wrt i.
14
Let k = 7 - -21. Let j(r) be the first derivative of -4*r - 11*r + k + 2*r**4 - 27. Differentiate j(f) wrt f.
24*f**2
Let b(l) = l**2 + 18*l + 24. Let y be b(-16). Let k = 21 + y. Differentiate -6*j**2 - 9 - 12*j + k*j + 24*j**2 wrt j.
36*j + 1
Let p(y) = -913*y**3 + 2*y**2 + 3*y - 1006. Let d(w) = 1827*w**3 - 3*w**2 - 5*w + 1997. Let t(r) = -4*d(r) - 7*p(r). Find the third derivative of t(s) wrt s.
-5502
Let x = -119 - -169. Find the third derivative of -18*d**3 + 19*d**3 - x*d**3 + 65*d**2 - 54*d**3 wrt d.
-618
Let r(x) = 21*x + 172. Let o be r(-8). What is the third derivative of -792*l**6 + 834*l**6 - 3*l**o - 8 - 48*l**2 + 6 wrt l?
5040*l**3 - 72*l
Find the second derivative of 9880*q**5 + 841*q**5 + 7495*q + 960*q wrt q.
214420*q**3
What is the second derivative of -284*l - 2*l**2 + 160 + 87*l - l**4 + 79 - 114*l**3 + 97*l + 93*l wrt l?
-12*l**2 - 684*l - 4
Let y(i) = -571*i**3 + 11*i - 1121. Let b = -76 + 87. Let o(n) = 114*n**3 - 2*n + 224. Let c(h) = b*o(h) + 2*y(h). Find the first derivative of c(s) wrt s.
336*s**2
Let j be (-5280)/(-99) - (0 - 4/(-3)). Find the third derivative of 61*o**2 - 36*o**3 + j*o**5 + 16*o**3 + 20*o**3 wrt o.
3120*o**2
Let z(w) be the third derivative of 253*w**2 - w**4 - 21/2*w**3 + 2/105*w**7 + 0*w**6 + 0*w**5 + 0*w + 0. Differentiate z(a) with respect to a.
16*a**3 - 24
Let h(p) be the second derivative of 23*p**8/56 + p**5/10 + 4*p**4/3 + 3*p**2/2 - 6*p + 45. Find the third derivative of h(i) wrt i.
2760*i**3 + 12
Let t = 687 + -672. Let z(g) be the third derivative of 0*g**3 - t*g**2 + 0 - 5/24*g**4 + 0*g**5 + 0*g - 9/40*g**6. Find the second derivative of z(x) wrt x.
-162*x
Let k(y) be the second derivative of 6 + 15*y**3 - y - 23/4*y**4 - 1/10*y**5 + y**2. Find the second derivative of k(b) wrt b.
-12*b - 138
Suppose -3*a + 4*n + 197 = 0, -2*a = 4*n - n - 120. Suppose -q - a = -10*q.