44*z**3 wrt z?
16032*z
Suppose 0 = -37*g + 39*g - 310. What is the second derivative of 45*d**2 + 3*d - 4*d - 1 - g*d**2 + 5*d wrt d?
-220
Differentiate 590 - 1051*l**3 + 867*l**3 - 220*l**3 - 116*l**3 - 1107*l**3 wrt l.
-4881*l**2
Let o(d) = 12*d**2 - 2*d + 2. Suppose 5 = 2*t - u, 3*u = 5*t - u - 17. Let f be o(t). What is the second derivative of -f*s - 8*s + 9*s + 7*s**2 wrt s?
14
Let r(o) be the third derivative of 180*o**2 + 0 + 44/3*o**3 - 20/3*o**4 + 0*o. What is the derivative of r(m) wrt m?
-160
Let o(k) be the third derivative of 737*k**6/40 - 493*k**4/12 - 2294*k**2. What is the second derivative of o(p) wrt p?
13266*p
Let m(n) be the first derivative of 3421*n**4/4 - 7622*n + 3217. Find the first derivative of m(o) wrt o.
10263*o**2
Let y = 32 + -32. Suppose 4*j = -4*w + 12, j + 3*j - 2*w = y. Differentiate -j - 32 - 20*i + 0*i - 17*i with respect to i.
-37
Let d(z) be the third derivative of -209*z**6/30 - 1201*z**5/30 + 401*z**2. Find the third derivative of d(y) wrt y.
-5016
What is the third derivative of -13*p**2 + 247*p**3 - 719*p**2 - 677*p**3 - 861*p**3 + 153*p**2 wrt p?
-7746
Suppose 2 = -2*t + 4*p - 10, -25 = -5*p. What is the second derivative of 1 + 46*s**4 + t*s - 4*s + 3*s + 6 wrt s?
552*s**2
Let b(a) = -a**3 - 10*a**2 + 29*a + 4. Let x be b(-13). Let g be x/8 + 12/48. What is the second derivative of -21*t + 45*t + 13*t**3 - g*t wrt t?
78*t
Find the second derivative of -37*s**3 - 37*s**3 + 3*s**5 + 74*s**3 + 7221*s - 617*s**4 wrt s.
60*s**3 - 7404*s**2
Let y(t) be the first derivative of 507*t**4/4 - 445*t**3 + 617. What is the third derivative of y(f) wrt f?
3042
Let j(x) = 61*x + 181. Let w(l) = -l + l - 1 + 5*l. Let z(d) = -j(d) - 5*w(d). Differentiate z(u) with respect to u.
-86
Let k(w) = w - 17. Let j(c) = -c + 14. Let g(b) = -6*j(b) - 5*k(b). Let l(s) = -17*s + 75. Let i(q) = 6*g(q) + l(q). What is the first derivative of i(x) wrt x?
-11
Suppose 21*f - 13*f = 608. What is the second derivative of -f*h**2 + 3801*h**3 - h**4 - 114*h - 3801*h**3 wrt h?
-12*h**2 - 152
Suppose 3*f - n - 3 - 6 = 0, -2*n = -4*f + 10. What is the second derivative of 83 + 64 + 2*j + 53*j**f - 42 + 0*j wrt j?
636*j**2
Let k = 123 + -68. What is the second derivative of 2*g + k*g**2 + 9*g + 69*g - 2*g wrt g?
110
Let h(o) be the second derivative of -o**6/15 + o**5/20 + o**3 - 4377*o**2/2 + 3405*o - 2. Differentiate h(b) wrt b.
-8*b**3 + 3*b**2 + 6
Let l(n) be the third derivative of 0*n + 0*n**4 - 14*n**2 - 41/20*n**5 - 15/2*n**3 + 2. Differentiate l(y) wrt y.
-246*y
Let o(l) = l**3 + 2*l**2 + l. Let k(x) = 1806*x**4 + 6*x**3 + 12*x**2 + 1359*x. Let z(a) = k(a) - 6*o(a). What is the second derivative of z(g) wrt g?
21672*g**2
Let k be ((-2)/(-8))/(12/96) - -43. What is the second derivative of k*i + 92*i**3 + 6*i**2 - 8*i**2 + i**2 wrt i?
552*i - 2
Suppose 4*b + 438 = -c, b - 5*c + 230 = -b. Let d = -91 - b. Find the first derivative of -90 + d*h**4 - h**3 + 73 + h**3 wrt h.
76*h**3
Let d be (-2 - 4)*3/(-9). Let k(l) = 1 - d - l**3 + 2*l**3 - 2*l**3. Let y(u) = 13*u**3 + 39. Let j(f) = 4*k(f) + y(f). What is the derivative of j(q) wrt q?
27*q**2
Suppose -15*x + 2*b = -13*x - 18, -3*x + b = -27. Suppose 2*i - 8 = 2, 5*i = -3*n + 64. Differentiate -2*t**3 + 12 + n*t**4 - x*t**3 + 11*t**3 wrt t.
52*t**3
Let b(v) be the second derivative of -v**4/6 + 190*v**3 + 4025*v**2/2 + 1429*v + 2. Find the first derivative of b(c) wrt c.
-4*c + 1140
Let b(c) = 2*c**3 + 10*c**2 - 8*c + 1. Let m be b(15). Let t = m + -5400. Find the third derivative of -39*w**3 + 3481 - t + 24*w**2 wrt w.
-234
Let r(d) be the first derivative of 0*d**2 + 0*d**4 + 27 + 209/5*d**5 + 0*d**3 + 59*d. Differentiate r(y) with respect to y.
836*y**3
Let g(v) = 2*v**3 - 33*v + 219. Let t = 327 + -323. Let y(c) = 5*c**3 - 65*c + 439. Let u(a) = t*y(a) - 9*g(a). Differentiate u(f) wrt f.
6*f**2 + 37
Suppose 40*v + 147 = 47*v. Differentiate 16*x**2 + 19*x**2 - 9*x**2 - 66 + v*x**2 with respect to x.
94*x
Suppose 124 = 11*y - 206. Let g = 34 - y. What is the derivative of 0 - 6 + g - 19*c wrt c?
-19
Let j(m) = 661*m**3 - 1057*m - 3. Let r(n) = 1983*n**3 - 3177*n - 10. Let i(w) = 10*j(w) - 3*r(w). What is the second derivative of i(b) wrt b?
3966*b
Find the second derivative of 437*y**3 - 1785*y**3 - 6542*y**3 - 1146*y + 2013*y**3 wrt y.
-35262*y
Find the second derivative of 233*x**3 + 1669*x**3 + 222*x**3 - 14*x - 7 - 2 - 20*x wrt x.
12744*x
Suppose 2*n + 10 = 2*v, 14 = 4*v - 0*n - n. Suppose 3*c = 2*t + v + 19, 3*t - 12 = -3*c. Differentiate -11 + 3 + 45*r**3 - 45*r**3 + c*r**4 wrt r.
24*r**3
Let k(x) be the third derivative of 2*x**2 + 0*x**4 - 4 + 25/2*x**3 - 7/12*x**5 + 0*x. Find the first derivative of k(h) wrt h.
-70*h
What is the second derivative of 113*u**3 + 2*u + 4*u - 14 + 1047*u**3 + u**2 - 3*u - 220*u**3 wrt u?
5640*u + 2
Let g(a) be the third derivative of 1997*a**6/60 + 1637*a**4/12 - 3826*a**2. Find the second derivative of g(p) wrt p.
23964*p
Let p be (-4)/(-6) - (172/(-12) - 4). What is the second derivative of 6*m + 38*m + p*m**5 + 39*m**5 wrt m?
1160*m**3
Suppose 4*h = 2*j, -h + j - 8 = -3*h. Find the third derivative of -4*q**4 + q**4 - 2*q**3 + 8*q**2 + 12*q**2 + 78*q**h + 23*q**2 wrt q.
-72*q - 12
Let j be (0 + (-6)/(-8))/(9/24). Suppose 0*g + 4*f = -4*g + 20, j*f - 12 = -3*g. Find the third derivative of -16*d**g + 34*d**6 + 11203*d - 11203*d wrt d.
4080*d**3
What is the derivative of -11*y + 13*y - 1204*y**2 - 5*y - 1289 + 987*y**2 wrt y?
-434*y - 3
Let y(j) be the second derivative of -2029*j**5/20 - 445*j**2 - j - 1569. Differentiate y(o) wrt o.
-6087*o**2
Let w(f) = 192*f**3 - 7*f**2 - 10586*f + 14. Let r(i) = 87*i**3 - 4*i**2 - 5293*i + 8. Let l(b) = -7*r(b) + 4*w(b). What is the second derivative of l(j) wrt j?
954*j
Let o(v) be the third derivative of 0*v**4 + 0 + 0*v**3 + 0*v + 2/15*v**5 - 11/15*v**6 - 70*v**2. What is the third derivative of o(p) wrt p?
-528
Let v(q) = -q**3 - q**2 + 4*q + 5. Let j be 54/(-15) - 10/25. Let w be v(j). What is the derivative of 81 + 18*b**4 - 29 - 32 - w wrt b?
72*b**3
Let h(a) be the second derivative of -1909*a**5/20 - 641*a**2/2 - 15*a - 18. What is the derivative of h(r) wrt r?
-5727*r**2
Suppose -65*r + 80*r = 30. What is the second derivative of -36*x**2 - 20*x**2 + 49*x**3 + 58*x**r - 1 + 53*x wrt x?
294*x + 4
Suppose 0 = -176*m + 140*m + 72. Let j(w) be the first derivative of m + 5/2*w**2 + 15*w. Differentiate j(a) wrt a.
5
Let k = 374 + -372. Find the third derivative of -383*w**2 + 5 - w**3 + 775*w**2 + 19*w**5 - 391*w**k wrt w.
1140*w**2 - 6
Let q(b) be the third derivative of 19*b**7/105 - 7*b**6/40 + b**4/24 + 469*b**3/6 + 1477*b**2 + 1. What is the second derivative of q(a) wrt a?
456*a**2 - 126*a
Let f(w) = w**2 + 907*w - 3642. Let r be f(4). Let c be ((-33)/2)/((-2)/4). Find the third derivative of 21*g**3 + c*g**2 + r*g - 2*g - 42*g**2 wrt g.
126
Let o be (3/(-9))/((-1)/21). Suppose 5*v - 3 = o. What is the second derivative of 19*c**2 + 39*c**v - 23*c - 9*c**2 - 3*c**2 wrt c?
92
Let u(r) be the first derivative of 35*r**4/12 - 41*r**3/6 + 10*r**2 + 20. Let m(g) be the second derivative of u(g). Find the first derivative of m(j) wrt j.
70
Suppose -17 = -f + 5. Suppose -f = -8*o - 6. Find the third derivative of 4*d**2 + 5*d**o - 21*d**4 - 12*d**4 + 13*d**4 wrt d.
-480*d
Suppose 102*l + 39 = 39. Let r(c) be the second derivative of l + 30*c + 8/3*c**3 - 47/2*c**2. What is the derivative of r(q) wrt q?
16
Find the third derivative of 30*n - 1639*n**3 - 66*n - 23*n**2 + 36*n + 261 + 24*n**2 wrt n.
-9834
Find the second derivative of -2*w**2 + 69*w**5 + 23*w + 12*w + 3*w**5 + 4*w - 8 - 19*w wrt w.
1440*w**3 - 4
Let h = 169 - 165. What is the third derivative of 5*k**3 - 7*k**3 + k**2 - 8*k**3 + 24*k + 8*k**4 - 12*k**h wrt k?
-96*k - 60
Find the second derivative of -8*n + 1365*n**2 - 1362*n**2 - n + 5*n**3 + n wrt n.
30*n + 6
Let c(x) be the second derivative of -727*x**4/4 + 395*x**3/6 - x**2 + x - 971. What is the second derivative of c(d) wrt d?
-4362
Let p(m) = m**3 - m**2 - 2*m + 2. Let k be p(2). Find the second derivative of 10*g**4 - 81*g**k - g**2 - 8*g**4 + 35*g + 87*g + 5*g wrt g.
24*g**2 - 164
Let u(l) be the second derivative of -44*l + 73/12*l**4 - 1/2*l**2 - 53/3*l**3 + 0. Find the 