496*b**3
Find the second derivative of -286*w - 3*w - 518*w + 765*w**4 wrt w.
9180*w**2
Let p = 119 + -115. Let o = -1082 - -1732. What is the second derivative of o + 7*j**p - 650 - 12*j wrt j?
84*j**2
Let q(c) be the second derivative of -47/3*c**4 - 163/2*c**2 - 1 - 48*c + 0*c**3. What is the first derivative of q(v) wrt v?
-376*v
Let q be 1*(1/(-4) - (-1)/4). Suppose -5*h - 3*k + 32 = 0, -6*k + 3*k + 12 = q. Differentiate 14 + 13 - 46 + 18*f**h with respect to f.
72*f**3
Differentiate 177 + 1234 + 16 - 1728*b + 622 + 77 with respect to b.
-1728
Let k(l) = -3*l**4 + l**3 + l**2 + l - 2. Let a(s) = -1252*s**4 - s**3 - s**2 - s + 960. Let j(c) = a(c) + k(c). Find the first derivative of j(n) wrt n.
-5020*n**3
Suppose 10*y - 8 - 12 = 0. Find the first derivative of 4*r**y - 15*r**2 + 3 - 16*r**2 + 1 wrt r.
-54*r
Let y(t) be the first derivative of 158*t**7/7 + 9*t**5/5 - 7570*t**3/3 + 1824. Find the third derivative of y(p) wrt p.
18960*p**3 + 216*p
Let h(u) = -3*u**2 - 18*u + 6. Let k be h(-6). What is the third derivative of 12*d - 45*d**3 - k*d - 6*d + 32 + 2*d**2 - 7 wrt d?
-270
Let b(g) = -48*g**3 - 178*g**2 + 11407*g. Let x(q) = 19*q**3 + 71*q**2 - 4563*q. Let u(z) = 5*b(z) + 12*x(z). What is the second derivative of u(t) wrt t?
-72*t - 76
Let w(n) = -n**3 - 10*n**2 - 7*n + 15. Let t be w(-9). Let h be 34 + 4 - t*1. What is the third derivative of -40 - 2*p**2 + 40 - h*p**5 wrt p?
-2460*p**2
Suppose 26*u - 43*u = 0. Let w(f) be the first derivative of -1/4*f**4 + 0*f - 21/2*f**2 + u*f**3 - 17. What is the second derivative of w(o) wrt o?
-6*o
Let s(z) = 5*z**2 - z + 1956. Let m(n) = -n**2 - 88*n + 1. Let g(i) = 2*m(i) - s(i). What is the derivative of g(k) wrt k?
-14*k - 175
Suppose -2*s + 24 - 4 = 2*f, 4*f - 3*s - 26 = 0. Suppose -b - f = -3*b. Find the third derivative of 26*m**4 - 15*m**b + 30*m**2 - 7*m**4 wrt m.
96*m
Let x = 750 + -748. Differentiate -3 - 16*v**2 + 65 + x*v**2 + 61 + 122 wrt v.
-28*v
Find the second derivative of -185*w**3 - 137*w**2 + 90*w**3 - w + 94*w**3 + 0*w + 14 + 431*w**2 wrt w.
-6*w + 588
Suppose 24 = 9*r - 30. Let y(t) = 83*t + 107. Let f(a) = -164*a - 215. Let m(j) = r*f(j) + 13*y(j). Differentiate m(h) wrt h.
95
Let c(v) be the second derivative of -63*v**8/4 - v**6/15 - 3779*v**4/12 - v**3/3 + 11815*v. Find the third derivative of c(y) wrt y.
-105840*y**3 - 48*y
Let y be 22/(-8) - 9/36. Let w(n) = -89*n**2 + 9*n + 4. Let v(b) = 90*b**2 - 10*b - 6. Let r(a) = y*w(a) - 2*v(a). What is the second derivative of r(f) wrt f?
174
What is the first derivative of 48567*d - 29*d**4 - 48569*d + 275 - 78*d**4 - 46*d**4 wrt d?
-612*d**3 - 2
Let f(d) = -5*d - 33. Let g be f(-7). Suppose -2*v - 104 = -5*b + 155, v + 103 = g*b. Differentiate -18 - b*j**3 + 36*j**3 - 15 with respect to j.
-51*j**2
Let g(j) = -j - 1. Let h be g(-6). Let k be (70/15 - (6 + -2))*33. What is the second derivative of 7*p - 131*p**h - k*p + 113*p**5 wrt p?
-360*p**3
Let w = 1 + 1. What is the second derivative of -1935*y + 1974*y + 55*y**w + 53*y**2 wrt y?
216
Let t(r) be the first derivative of 2*r**5 - r**4/2 - r**2 - 85*r + 36. Let o(v) = -v**4 + v**3 + v - 2. Let s(b) = 2*o(b) + t(b). Differentiate s(x) wrt x.
32*x**3
Let n be 44/264 - (11/6)/(-1). Find the third derivative of 16*k**2 + 36*k**3 + 10*k**n - 2 + 30*k**2 + 17*k**2 wrt k.
216
What is the derivative of -130492*u**3 + 130575*u**3 + u**2 - u**2 - 3008 - 6*u**4 wrt u?
-24*u**3 + 249*u**2
What is the second derivative of -6*d**2 - 19*d**3 + 56*d**3 + 8*d**4 - 41*d - 9*d**4 - 17*d**3 + 6 - 17*d**3 wrt d?
-12*d**2 + 18*d - 12
Differentiate -5118*j + 15350*j - 5118*j - 10217 - 5114*j + 2710*j**3 with respect to j.
8130*j**2
Let h = 16 - 9. Let w be h - 1 - (-2 + (1 - -3)). Differentiate -1 - 8 + 5*m**2 + 1 - w*m**2 wrt m.
2*m
Let g(f) = -f**2 - 28*f. Let r(x) = 3*x**2 + 202*x - 506. Let a(q) = 4*g(q) + r(q). What is the derivative of a(h) wrt h?
-2*h + 90
Differentiate -281 - 13*m**2 + 281 + 2*m**4 - 189 + 7*m**4 wrt m.
36*m**3 - 26*m
Let a(h) = -3*h**2 + 22*h - 33. Let b be a(5). Find the third derivative of -29*g**3 - 40*g**3 - 1 + 76*g**b - 67*g**2 wrt g.
-414
Let q(i) = i**3 + 26*i**2 - 88*i + 35. Let z be q(-29). What is the first derivative of -61*w**3 + z*w**3 + 19 + 80*w**4 + 182 wrt w?
320*w**3 + 9*w**2
Suppose 70*o - 234 = 67*o. Let n = o + -75. Find the first derivative of 72 + 91 - 33*c**n - 137 wrt c.
-99*c**2
Let t(l) be the second derivative of l**8/56 - 47*l**7/42 - 745*l**4/12 - 1396*l. Find the third derivative of t(m) wrt m.
120*m**3 - 2820*m**2
Let t(w) be the first derivative of 256*w**3/3 + 7*w**2 + 12462*w + 7848. What is the first derivative of t(i) wrt i?
512*i + 14
Let x(i) be the first derivative of -307*i**5 - 976*i - 2715. What is the first derivative of x(d) wrt d?
-6140*d**3
Let t(x) be the third derivative of -x**5/30 + 119*x**4/8 - 6761*x**3/6 - 5465*x**2. Find the first derivative of t(w) wrt w.
-4*w + 357
Suppose 144 = 21*d - 13*d. What is the third derivative of i**2 + 3*i + 3*i + 4*i - 10*i + 106*i**3 + d wrt i?
636
Let w(c) = -c**3 + 16*c**2 - 27*c + 28. Let n be w(14). Let o = -39 + n. Differentiate o*b + 13*b**3 - 3*b - 36*b**3 + 14 wrt b.
-69*b**2
Let a(p) = -116*p**2 + 16. Let z be -1*(2 - (-2 + 4)) - -7. Let x(b) = 113*b**2 - 17. Let t(s) = z*a(s) + 6*x(s). What is the derivative of t(j) wrt j?
-268*j
Let c = 89 + -86. Find the second derivative of -2*o**2 - 21*o - 18*o + 4*o**3 - 3*o**c + 36*o wrt o.
6*o - 4
Let k(s) be the third derivative of s**7/21 - s**6/30 + 323*s**3/3 + 491*s**2. What is the first derivative of k(a) wrt a?
40*a**3 - 12*a**2
Let l(t) = t**3 - 9*t**2 + 14*t + 6. Let w be l(7). Suppose -z - 24 = -w*z + 4*v, v + 5 = z. Find the second derivative of -z + 4 + 14*a - 18*a + 13*a**3 wrt a.
78*a
Let u(d) = -2*d**2 - 7*d - 31. Let t(q) = -2*q - 3. Let j(l) = -5*t(l) + u(l). What is the first derivative of j(i) wrt i?
-4*i + 3
Suppose 7*x - 9 = 4*x. Let v be (-1)/(x - 3 - 1). What is the first derivative of 2*u - 18 + 31 - v wrt u?
2
Let d(w) be the first derivative of -435*w**3 - 909*w**2/2 + 310. What is the second derivative of d(y) wrt y?
-2610
Let m(u) be the third derivative of -51*u**7/35 + u**6/60 + 295*u**4/24 - 39*u**2 - 5*u. Find the second derivative of m(r) wrt r.
-3672*r**2 + 12*r
Suppose 28*s - 33*s + 110 = 0. Let v = 22 - s. Find the third derivative of -4*b**4 + 4*b**2 + v*b**2 - 14*b**4 wrt b.
-432*b
Let f(m) = -m + 144. Let x be f(11). Differentiate -137*i**2 + 69*i**2 + i**4 + 68*i**2 - 22*i**3 + x with respect to i.
4*i**3 - 66*i**2
Let f(z) be the first derivative of 0*z + 1/3*z**3 + 96 + 3*z**2 + 0*z**4 + 87/5*z**5. What is the third derivative of f(v) wrt v?
2088*v
Let g(i) be the third derivative of 59*i**7/15 - 227*i**4/24 + 597*i**2 - 1. Find the second derivative of g(o) wrt o.
9912*o**2
Let j(r) be the first derivative of -1080*r**7/7 - 32*r**3 + 750. Find the third derivative of j(o) wrt o.
-129600*o**3
Let b(n) = -n**3 - n**2 + 1. Let w(i) = -195*i**4 - 8*i**3 - 7*i**2 + 131*i + 5. Let t(y) = -7*b(y) + w(y). What is the second derivative of t(d) wrt d?
-2340*d**2 - 6*d
Let o(k) = 11*k - 18. Let s be o(4). Find the second derivative of 5*f**5 - s*f**5 - 24*f**5 + 7*f + 0*f wrt f.
-900*f**3
Let j be 4/(-2) + 679/7 + 11. Find the second derivative of 5*l + j*l**4 - 49 - 7*l + 0*l + 19 wrt l.
1272*l**2
Let c(i) = i**3 + 71*i**2 - 6*i + 70. Let v(k) = -3*k**3 - 211*k**2 + 16*k - 209. Let m(t) = -14*c(t) - 5*v(t). Differentiate m(w) with respect to w.
3*w**2 + 122*w + 4
Let y(s) = 175*s**3 - 4*s**2 + 10*s - 6. Let m be y(1). Find the third derivative of k + m*k**2 - 24*k**6 - 4*k**5 - 133*k**2 + 4*k**5 + k**4 wrt k.
-2880*k**3 + 24*k
Let m(y) be the first derivative of 6*y**7/7 + y**6/2 + 32*y**5/5 + 4583*y**3/3 + 5120. What is the third derivative of m(r) wrt r?
720*r**3 + 180*r**2 + 768*r
What is the third derivative of -5*n**2 - 8244203 - 7*n**5 + 8244208 - 110*n**6 + 2*n**4 + 29*n**2 wrt n?
-13200*n**3 - 420*n**2 + 48*n
Let h be (-2)/((32/(-12))/4). Let g(z) = 3*z**2 - 1. Let s be g(-1). What is the third derivative of 38*y**s - 8*y**3 + y**3 + 29*y**h wrt y?
132
Let x(u) = 781*u**3 + 3*u**2 - 4037*u + 16. Let y(z) = 1563*z**3 + 7*z**2 - 8075*z + 40. Let f(a) = -5*x(a) + 2*y(a). Find the second d